Finite Group Databasebeta

← #28266889

Subgroups — #28266889

Order 13568.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288705C211yesmaximal, characteristic, complemented
2#20288660C211yesmaximal, characteristic, complemented
3#20287782C211yesmaximal, characteristic, complemented
4#20287655C211yesmaximal, characteristic, complemented
5#20287410C211yesmaximal, characteristic, complemented
6#20287367C211yesmaximal, characteristic, complemented
7#20287271C211yesmaximal, characteristic, complemented
8#20287181C211yesmaximal, characteristic, complemented
9#20286620C211yesmaximal, characteristic, complemented
10#20286596C211yesmaximal, characteristic, complemented
11#20286578C211yesmaximal, characteristic, complemented
12#20286563C211yesmaximal, characteristic, complemented
13#20286548C211yesmaximal, characteristic, complemented
14#20286533C211yesmaximal, characteristic, complemented
15#20286343C211yesmaximal, characteristic, complemented
16#20286222C211yesmaximal, characteristic, complemented
17#20286215C211yesmaximal, characteristic, complemented
18#20285403C211yesmaximal, characteristic, complemented
19#20285384C211yesmaximal, characteristic, complemented
20#20285286C211yesmaximal, characteristic, complemented
21#20285008C211yesmaximal, characteristic, complemented
22#20284999C211yesmaximal, characteristic, complemented
23#20284987C211yesmaximal, characteristic, complemented
24#20284963C211yesmaximal, characteristic, complemented
25#20284889C211yesmaximal, characteristic, complemented
26#20284856C211yesmaximal, characteristic, complemented
27#20283685C211yesmaximal, characteristic, complemented
28#20283557C211yesmaximal, characteristic, complemented
29#20283545C211yesmaximal, characteristic, complemented
30C2×#16810710C211yesmaximal, characteristic, complemented
31C53×#3344C211yesmaximal, characteristic, complemented
32C2×#13133249C2211yescharacteristic
33C2×#13133245C2211yescharacteristic
34C22×#11719913C2211yescharacteristic
35#16811358C2211yescharacteristic
36#16811348C2211yescharacteristic, complemented
37#16811345C2211yescharacteristic, complemented
38#16811344—21no—
39#16811329C2211yescharacteristic
40#16811327—21no—
41#16811326—21no—
42#16811322—21no—
43#16811321C2211yescharacteristic, complemented
44#16811317C2211yescharacteristic
45#16811308C2211yescharacteristic, complemented
46#16811305—21no—
47#16811298—21no—
48#16811297—21no—
49#16811286C2211yescharacteristic, complemented
50#16811283C2211yescharacteristic, complemented
51#16811282C2211yescharacteristic
52#16811274C2211yescharacteristic
53#16811265—21no—
54#16811264C2211yescharacteristic
55#16811264C2211yescharacteristic
56D4×D212C2211yescharacteristic
57#16811247C2211yescharacteristic, complemented
58#16811246C2211yescharacteristic
59#16811243—21no—
60#16811233C2211yescharacteristic, complemented
61#16811232—21no—
62#16811229C2211yescharacteristic
63#16811221—21no—
64#16811212—21no—
65#16811159—21no—
66#16811159C2211yescharacteristic
67#16811159C2211yescharacteristic, complemented
68#16811153—21no—
69#16811153C2211yescharacteristic
70#16811135—21no—
71#123×D53—21no—
72#16811105C2211yescharacteristic
73#16811104C2211yescharacteristic, complemented
74#16811099C2211yescharacteristic, complemented
75#16811097C2211yescharacteristic
76C2×#13133182C2211yescharacteristic, complemented
77C2×#13133179C2211yescharacteristic
78#16811030C2211yescharacteristic, complemented
79#16811024C2211yescharacteristic, complemented
80#16811016C2211yescharacteristic, complemented
81#16811012C2211yescharacteristic
82#16811008C2211yescharacteristic, complemented
83#16810980C2211yescharacteristic, complemented
84#16810979C2211yescharacteristic, complemented
85#16810979C2211yescharacteristic, complemented
86#16810979C2211yescharacteristic, complemented
87#16810972C2211yescharacteristic, complemented
88#16810971C2211yescharacteristic
89#16810964C2211yescharacteristic, complemented
90#16810955C2211yescharacteristic, complemented
91#16810950C2211yescharacteristic, complemented
92#16810949C2211yescharacteristic, complemented
93#16810943C2211yescharacteristic, complemented
94#16810941C2211yescharacteristic
95#16810941C2211yescharacteristic
96#16810936C2211yescharacteristic, complemented
97#16810929C2211yescharacteristic, complemented
98#16810929C2211yescharacteristic, complemented
99#16810927C2211yescharacteristic, complemented
100#16810926C2211yescharacteristic
101#16810922C2211yescharacteristic
102#16810922C2211yescharacteristic, complemented
103#16810922C2211yescharacteristic, complemented
104#16810912C2211yescharacteristic, complemented
105#16810910C2211yescharacteristic
106#16810907C2211yescharacteristic, complemented
107#16810877C2211yescharacteristic, complemented
108#16810870C2211yescharacteristic, complemented
109#16810869C2211yescharacteristic
110#16810862C2211yescharacteristic, complemented
111#16810860C2211yescharacteristic, complemented
112#16810859C2211yescharacteristic
113#16810854C2211yescharacteristic
114#16810854C2211yescharacteristic
115#16810854C2211yescharacteristic, complemented
116#16810853C2211yescharacteristic, complemented
117#16810848C2211yescharacteristic, complemented
118#16810848C2211yescharacteristic, complemented
119#16810848C2211yescharacteristic, complemented
120#16810845C2211yescharacteristic, complemented
121#16810841C2211yescharacteristic
122#16810841C2211yescharacteristic, complemented
123#16810841C2211yescharacteristic, complemented
124#16810839C2211yescharacteristic
125#16810827C2211yescharacteristic
126#16810827C2211yescharacteristic, complemented
127#16810824C2211yescharacteristic
128#16810823C2211yescharacteristic
129#16810788C2211yescharacteristic
130#16810783C2211yescharacteristic, complemented
131#16810778C2211yescharacteristic, complemented
132#16810776C2211yescharacteristic
133#16810773C2211yescharacteristic
134#16810773C2211yescharacteristic
135#16810771C2211yescharacteristic
136#16810770C2211yescharacteristic
137#16810764C2211yescharacteristic
138#16810763C2211yescharacteristic, complemented
139#16810763C2211yescharacteristic, complemented
140#16810759C2211yescharacteristic
141#16810751C2211yescharacteristic, complemented
142#16810747C2211yescharacteristic, complemented
143#16810734C2211yescharacteristic
144#16810734C2211yescharacteristic, complemented
145#16810734C2211yescharacteristic, complemented
146#16810727C2211yescharacteristic, complemented
147#16810727C2211yescharacteristic, complemented
148#16810726C2211yescharacteristic
149#16810726C2211yescharacteristic, complemented
150#16810725C2211yescharacteristic
151#16810722C2211yescharacteristic
152#16810722C2211yescharacteristic, complemented
153#16810722C2211yescharacteristic, complemented
154Q16×Dic53C2211yescharacteristic, complemented
155C4×#11719925C2211yescharacteristic, complemented
156C4×#11719924C2211yescharacteristic
157#16810710C2211yescharacteristic
158#16810710C2211yescharacteristic
159#16810710C2211yescharacteristic
160#16810710C2211yescharacteristic
161#16810710C2211yescharacteristic, complemented
162#16810710C2211yescharacteristic, complemented
163#16810710C2211yescharacteristic, complemented
164#16810710C2211yescharacteristic, complemented
165#16810710C2211yescharacteristic, complemented
166#16810708C2211yescharacteristic, complemented
167#16810708C2211yescharacteristic, complemented
168#16810705C2211yescharacteristic
169#16810705C2211yescharacteristic, complemented
170#16810699C2211yescharacteristic, complemented
171#16810694C2211yescharacteristic, complemented
172D4×#88322C2211yescharacteristic
173#16810686C2211yescharacteristic, complemented
174#16810686C2211yescharacteristic, complemented
175#16810683C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810677C2211yescharacteristic, complemented
178#16810662C2211yescharacteristic, complemented
179#16810618C2211yescharacteristic
180#16810617C2211yescharacteristic, complemented
181C2×#13133140C2211yescharacteristic, complemented
182#103×D53C2211yescharacteristic, complemented
183C2×#13133137C2211yescharacteristic
184C2×#13133137C2211yescharacteristic
185#16810581C2211yescharacteristic, complemented
186#16810580C2211yescharacteristic, complemented
187C2×C8×Dic53C2211yescharacteristic, complemented
188C53×#554C2211yescharacteristic
189C53×#552C2211yescharacteristic
190C53×#501C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#484C2211yescharacteristic, complemented
193C53×#483C2211yescharacteristic, complemented
194C53×#483C2211yescharacteristic, complemented
195C53×#479C2211yescharacteristic, complemented
196C53×#475C2211yescharacteristic, complemented
197C53×#470C2211yescharacteristic, complemented
198C53×#467C2211yescharacteristic, complemented
199C53×#441C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic
201C53×#428C2211yescharacteristic, complemented
202C2×#106×C53C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C22×Dic106C2311yescharacteristic
207C2×Q8×D53C2311yescharacteristic
208C22×D212C2311yescharacteristic
209C22×D212C2311yescharacteristic
210C2×D4×D53—21no—
211C22×C4×D53—21no—
212#13133249—24no—
213#13133245—24no—
214C2×#11719925C2311yescharacteristic
215C2×#11719925C2311yescharacteristic
216C2×#11719913—24no—
217C2×#11719913C2311yescharacteristic
218C2×#11719913C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719913C2311yescharacteristic
221C2×#11719913C2311yescharacteristic
222C2×#11719913C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×#11719924C2311yescharacteristic
225C2×#11719924C2311yescharacteristic
226C2×#11719924C2311yescharacteristic
227C2×D424C2311yescharacteristic
228C2×D424C2311yescharacteristic
229C2×D424C2311yescharacteristic
230C2×#11719912C2311yescharacteristic
231C22×#88322C2311yescharacteristic
232C22×#88322C2311yescharacteristic
233C2×C8×D53C2311yescharacteristic
234#13133216—21no—
235#13133216C2311yescharacteristic
236#13133215—21no—
237#13133215C2311yescharacteristic
238#13133214C2311yescharacteristic
239#13133212—21no—
240#13133212—21no—
241#13133212—21no—
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212D411yescharacteristic
247#13133211—21no—
248#13133211—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210D411yescharacteristic
252#13133208—21no—
253#13133208C2311yescharacteristic
254#13133208C2311yescharacteristic
255#13133208C2311yescharacteristic
256#13133207—21no—
257#13133207—21no—
258#13133207—21no—
259#13133207—21no—
260#13133207D411yescharacteristic
261#13133206—21no—
262#13133206C2311yescharacteristic
263#13133206C2311yescharacteristic
264#13133206C2311yescharacteristic
265#13133205—21no—
266#13133205C2311yescharacteristic
267#13133203—21no—
268#13133203—21no—
269#13133203—21no—
270#13133203D411yescharacteristic
271#13133202—21no—
272#13133202—21no—
273#13133202—21no—
274#13133202—21no—
275#13133202—21no—
276#13133202—21no—
277#13133202—21no—
278#13133202—21no—
279#13133202—21no—
280#13133201—21no—
281#13133201—21no—
282#13133201D411yescharacteristic
283#13133200—21no—
284#13133200—21no—
285#13133199—21no—
286#13133199—21no—
287#13133198D411yescharacteristic
288#13133197—21no—
289#13133197—21no—
290#13133197C2311yescharacteristic
291#13133196C2311yescharacteristic
292#13133195—21no—
293#13133195—21no—
294#13133195—21no—
295#13133195—21no—
296#13133195—21no—
297#13133195—21no—
298#13133195—21no—
299#13133194—21no—
300#13133194D411yescharacteristic
301#13133193—21no—
302#13133192—21no—
303#13133192—21no—
304#13133192—21no—
305#13133192—21no—
306#13133192—21no—
307#13133192C2311yescharacteristic
308#13133192C2311yescharacteristic
309#13133192C2311yescharacteristic
310#13133191—21no—
311#13133191C2311yescharacteristic
312#13133191C2311yescharacteristic
313#13133191C2311yescharacteristic
314#13133190—21no—
315#13133190—21no—
316#13133189—21no—
317#13133189D411yescharacteristic
318#13133187—21no—
319#13133187—21no—
320#13133187—21no—
321#13133187—21no—
322Q8×Dic53—21no—
323Q8×Dic53C2311yescharacteristic
324Q8×Dic53C2311yescharacteristic
325C4×Dic106—21no—
326C4×Dic106C2311yescharacteristic
327C4×Dic106C2311yescharacteristic
328#13133182—21no—
329#13133182—21no—
330#13133182—21no—
331#13133182C2311yescharacteristic
332#13133182C2311yescharacteristic
333#13133182C2311yescharacteristic
334#13133182C2311yescharacteristic
335#13133182C2311yescharacteristic
336C4×D212—21no—
337C4×D212—21no—
338C4×D212—21no—
339C4×D212—21no—
340C4×D212—21no—
341C4×D212C2311yescharacteristic
342#13133179—21no—
343#13133179—21no—
344#13133179—21no—
345#13133179—21no—
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348#13133179C2311yescharacteristic
349#13133179C2311yescharacteristic
350#13133179C2311yescharacteristic
351#13133179C2311yescharacteristic
352#13133179C2311yescharacteristic
353#13133179C2311yescharacteristic
354#13133179C2311yescharacteristic
355C4×C22⋊D53—21no—
356C4×C22⋊D53—21no—
357C4×C22⋊D53—21no—
358C4×C22⋊D53C2311yescharacteristic
359C4×C22⋊D53C2311yescharacteristic
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133177—21no—
364#13133176—21no—
365#13133176C2311yescharacteristic
366#13133175—21no—
367#13133175—21no—
368#13133175—21no—
369#13133175—21no—
370#13133175C2311yescharacteristic
371#13133174—21no—
372#13133174—21no—
373#13133174—21no—
374#13133174C2311yescharacteristic
375C2×#11719919—21no—
376C4⋊C4×D53—21no—
377C4⋊C4×D53—21no—
378C4⋊C4×D53—21no—
379C4⋊C4×D53C2311yescharacteristic
380C2×#11719921—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C22⋊C4×D53—21no—
384C22⋊C4×D53—21no—
385C2×C4×Dic53—21no—
386C2×C4×Dic53C2311yescharacteristic
387#13133151C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394C4⋊#88322C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133141C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133140C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133137C2311yescharacteristic
414#13133137C2311yescharacteristic
415#13133137C2311yescharacteristic
416#13133137C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425C22⋊#88322C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133127C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×Q16×C53C2311yescharacteristic
439C2×M16×C53C2311yescharacteristic
440C22×C8×C53C2311yescharacteristic
441C4⋊Q8×C53C2311yescharacteristic
442#126×C53—21no—
443#125×C53—21no—
444#125×C53—21no—
445#125×C53C2311yescharacteristic
446#123×C53—21no—
447C22⋊Q8×C53—21no—
448C22⋊Q8×C53—21no—
449C22⋊Q8×C53C2311yescharacteristic
450C22⋊Q8×C53C2311yescharacteristic
451C22⋊Q8×C53C2311yescharacteristic
452C22⋊Q8×C53C2311yescharacteristic
453C4×Q8×C53C2311yescharacteristic
454C4×Q8×C53C2311yescharacteristic
455C4×D4×C53—21no—
456C4×D4×C53C2311yescharacteristic
457#117×C53—21no—
458#117×C53C2311yescharacteristic
459C2×C4⋊C4×C53C2311yescharacteristic
460C2×C4⋊C4×C53C2311yescharacteristic
461C2×C4⋊C4×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470#106×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480#97×C53C2311yescharacteristic
481C23×D53—21no—
482C23×D53—21no—
483C2×Q8×C53—21no—
484C2×Q8×C53C2411yescharacteristic
485C2×Q8×C53C2411yescharacteristic
486C2×D4×C53C2×D411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53C2411yescharacteristic
491C22×C4×C53C2411yescharacteristic
492C2×C22⋊D53—21no—
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53C2×D411yescharacteristic
497C2×C22⋊D53C2×D411yescharacteristic
498C22×Dic53—21no—
499C22×Dic53C2×D411yescharacteristic
500C22×Dic53C2×D411yescharacteristic
501#11719949—22no—
502#11719949—41no—
503Q8×D53—22no—
504Q8×D53—41no—
505D4×D53—82no—
506#11719945—22no—
507#11719945—41no—
508#11719945—82no—
509C2×D212—22no—
510C2×D212—22no—
511C2×D212—21no—
512C2×D212—21no—
513C2×D212—21no—
514C2×D212—21no—
515C2×D212—21no—
516C2×D212—21no—
517C2×D212—21no—
518C2×D212—21no—
519C2×D212—41no—
520C2×D212—41no—
521C2×D212C2411yescharacteristic
522C2×D212C2411yescharacteristic
523C2×D212C2411yescharacteristic
524C2×D212C2411yescharacteristic
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53—21no—
535C2×C4×D53—21no—
536C2×C4×D53—21no—
537C2×C4×D53—21no—
538C2×C4×D53—21no—
539C2×C4×D53—82no—
540C2×C4×D53C2411yescharacteristic
541C2×Dic106—22no—
542C2×Dic106—21no—
543C2×Dic106—21no—
544C2×Dic106—21no—
545C2×Dic106—41no—
546C2×Dic106C2×D411yescharacteristic
547C2×Dic106C2411yescharacteristic
548C2×Dic106C2411yescharacteristic
549Q16×C53—22no—
550M16×C53—22no—
551C2×C8×C53—22no—
552C2×C8×C53C2411yescharacteristic
553C2×C8×C53C2411yescharacteristic
554C2×C8×C53C2411yescharacteristic
555C2×C8×C53C2411yescharacteristic
556C4⋊C4×C53—21no—
557C4⋊C4×C53—21no—
558C4⋊C4×C53—21no—
559C4⋊C4×C53—21no—
560C4⋊C4×C53—21no—
561C4⋊C4×C53—21no—
562C4⋊C4×C53—21no—
563C4⋊C4×C53—21no—
564C4⋊C4×C53—21no—
565C4⋊C4×C53—21no—
566C4⋊C4×C53—21no—
567C4⋊C4×C53—21no—
568C4⋊C4×C53C2×D411yescharacteristic
569C4⋊C4×C53C2411yescharacteristic
570C4⋊C4×C53C2411yescharacteristic
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×C53C2×D411yescharacteristic
581C22⋊C4×C53C2×D411yescharacteristic
582C42×C53—21no—
583C42×C53—21no—
584C42×C53—21no—
585C42×C53C2411yescharacteristic
586C22⋊Dic53—21no—
587C22⋊Dic53C2×D411yescharacteristic
588C22⋊Dic53C2×D411yescharacteristic
589C22⋊Dic53C2×D411yescharacteristic
590C22⋊Dic53C2×D411yescharacteristic
591#11719925—22no—
592#11719925—41no—
593#11719924—22no—
594#11719924—41no—
595#11719924—41no—
596#11719924—41no—
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#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612#11719921—21no—
613#11719921—21no—
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#11719921C2×D411yescharacteristic
624#11719921C2×D411yescharacteristic
625#11719921C2×D411yescharacteristic
626#11719921C2×D411yescharacteristic
627C4⋊Dic53—21no—
628C4⋊Dic53—21no—
629C4⋊Dic53—21no—
630C4⋊Dic53—21no—
631C4⋊Dic53—21no—
632C4⋊Dic53—21no—
633C4⋊Dic53C2×D411yescharacteristic
634C4⋊Dic53C2×D411yescharacteristic
635C4⋊Dic53C2×D411yescharacteristic
636C4⋊Dic53C2411yescharacteristic
637C4⋊Dic53C2411yescharacteristic
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
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#11719919C2×D411yescharacteristic
653#11719919C2×D411yescharacteristic
654#11719919C2×D411yescharacteristic
655#11719919C2×D411yescharacteristic
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53C2×D411yescharacteristic
668C4×Dic53C2×D411yescharacteristic
669C4×Dic53C2411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C4×Dic53C2411yescharacteristic
672C2×#88322—41no—
673C2×#88322—41no—
674C2×#88322C2411yescharacteristic
675C2×#88322C2411yescharacteristic
676C2×#88322C2411yescharacteristic
677C2×#88322C2411yescharacteristic
678D424—22no—
679D424—22no—
680D424—41no—
681#11719913—22no—
682#11719913—22no—
683#11719913—22no—
684#11719913—22no—
685#11719913—41no—
686#11719913#4114yescomplemented
687#11719912—22no—
688C8×D53—41no—
689C23×C53C22×D411yescharacteristic
690C23×C53C22×D411yescharacteristic
691C22×D53—21no—
692C22×D53—21no—
693C22×D53—21no—
694C22×D53—21no—
695C22×D53—42no—
696C22×D53—42no—
697C22×D53—42no—
698C22×D53—81no—
699C22×D53—81no—
700C22×D53—81no—
701C22×D53C22×D411yescharacteristic
702Q8×C53—21no—
703Q8×C53—21no—
704Q8×C53—21no—
705Q8×C53—21no—
706Q8×C53—81no—
707D4×C53—22no—
708C2×C4×C53—21no—
709C2×C4×C53—21no—
710C2×C4×C53—21no—
711C2×C4×C53—21no—
712C2×C4×C53—21no—
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—42no—
721C2×C4×C53—81no—
722C2×C4×C53—81no—
723C2×C4×C53C22×D411yescharacteristic
724C2×C4×C53C22×D411yescharacteristic
725C2×C4×C53C22×D411yescharacteristic
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C2511yescharacteristic
728C22⋊D53—22no—
729C22⋊D53—41no—
730C22⋊D53—42no—
731C22⋊D53—42no—
732C22⋊D53—42no—
733C22⋊D53—81no—
734C2×Dic53—22no—
735C2×Dic53—21no—
736C2×Dic53—21no—
737C2×Dic53—21no—
738C2×Dic53—21no—
739C2×Dic53—41no—
740C2×Dic53—42no—
741C2×Dic53C22×D411yescharacteristic
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745C2×Dic53C22×D411yescharacteristic
746C2×Dic53C22×D411yescharacteristic
747C2×Dic53C22×D411yescharacteristic
748D212—21no—
749D212—21no—
750D212—21no—
751D212—21no—
752D212—21no—
753D212—21no—
754D212—21no—
755D212—42no—
756D212—42no—
757D212—42no—
758D212—81no—
759D212—81no—
760D212—81no—
761D212—81no—
762D212—81no—
763D212C2×#4112yes—
764C4×D53—21no—
765C4×D53—21no—
766C4×D53—42no—
767C4×D53—42no—
768C4×D53—42no—
769C4×D53—81no—
770C4×D53—81no—
771C4×D53—81no—
772C4×D53—81no—
773C4×D53—81no—
774C4×D53—81no—
775C4×D53—81no—
776C4×D53—81no—
777C4×D53—81no—
778C4×D53—81no—
779C4×D53—81no—
780Dic106—21no—
781Dic106—21no—
782Dic106—21no—
783Dic106—41no—
784Dic106—42no—
785Dic106—42no—
786Dic106—81no—
787Dic106C2×#4112yes—
788C8×C53—21no—
789C8×C53—21no—
790C8×C53—21no—
791C8×C53C2×#4112yes—
792#88322—21no—
793#88322—21no—
794#88322—21no—
795#88322—21no—
796#61490—531nomaximal, Sylow
797C22×C53—21no—
798C22×C53—21no—
799C22×C53—21no—
800C22×C53—21no—
801C22×C53—21no—
802C22×C53#57712yes—
803C22×C53C23×D411yescharacteristic
804C2×D53—21no—
805C2×D53—21no—
806C2×D53—22no—
807C2×D53—21no—
808C2×D53—41no—
809C2×D53—41no—
810C2×D53—41no—
811C2×D53—41no—
812C2×D53—41no—
813C2×D53—41no—
814C2×D53—41no—
815C2×D53—41no—
816C2×D53—41no—
817C2×D53—41no—
818C2×D53—41no—
819C2×D53—84no—
820C2×D53—162no—
821C4×C53—21no—
822C4×C53—21no—
823C4×C53—21no—
824C4×C53—21no—
825C4×C53—41no—
826C4×C53—41no—
827C4×C53—41no—
828C4×C53—41no—
829C4×C53—41no—
830C4×C53—41no—
831C4×C53—41no—
832C4×C53—41no—
833C4×C53C22×#4111yescharacteristic
834C4×C53#58511yescharacteristic
835Dic53—21no—
836Dic53—21no—
837Dic53—21no—
838Dic53—22no—
839Dic53—21no—
840Dic53—21no—
841Dic53—21no—
842Dic53—21no—
843Dic53—41no—
844Dic53—41no—
845Dic53—41no—
846#3516—531no—
847#3513—531no—
848#3401—531no—
849#3388—531no—
850#3365—531no—
851#3360—531no—
852#3351—531no—
853#3345—531no—
854#3344D5311yescharacteristic, complemented
855#3301—531no—
856#3300—531no—
857#3298—531no—
858#3297—531no—
859#3296—531no—
860#3295—531no—
861#3275—531no—
862#3266—531no—
863#3265—531no—
864#3179—531no—
865#3178—531no—
866#3168—531no—
867#3126—531no—
868#3125—531no—
869#3125—531no—
870#3123—531no—
871#3117—531no—
872#3114—531no—
873#2966—531no—
874#2947—531no—
875#2946—531no—
876C2×C4×SD16—531no—
877C2×C53—22no—
878C2×C53—41no—
879C2×C53D4×#4111yescharacteristic
880C2×C53C2×#57711yescharacteristic
881C2×C53#358411yescharacteristic
882D53—41no—
883D53—42no—
884D53—81no—
885D53—81no—
886D53—81no—
887C2×#137—531no—
888C2×AGL(1,ℤ/8)—531no—
889C22×SD16—531no—
890#559—531no—
891#557—531no—
892#556—531no—
893#556—1061no—
894#554—531no—
895#554—1061no—
896#554C2×D5311yescharacteristic
897#553—531no—
898#553—531no—
899#553—1061no—
900#553—1061no—
901#552—531no—
902#552—1061no—
903#552C2×D5311yescharacteristic
904#551—1061no—
905#551—1061no—
906D4×Q8—531no—
907#548—531no—
908#548—531no—
909#547—531no—
910#546—531no—
911#546—531no—
912#546—1061no—
913D42—531no—
914#542—531no—
915#542—531no—
916#542—1061no—
917#541—531no—
918#541—1061no—
919#540—531no—
920#539—1061no—
921#538—1061no—
922#529—531no—
923#529—531no—
924#529—531no—
925#529—1061no—
926#529—1061no—
927#525—1061no—
928C2×#123—1061no—
929#520—531no—
930#520—531no—
931#519—531no—
932#518—531no—
933C2×C4×Q8—531no—
934C2×C4×D4—531no—
935#501—531no—
936#501C2×D5311yescharacteristic, complemented
937#499—531no—
938#497—531no—
939#496—531no—
940#495—531no—
941#488—531no—
942#488—531no—
943#488—531no—
944#488—531no—
945#487—531no—
946#486—531no—
947#485—531no—
948#485C2×D5311yescharacteristic, complemented
949#484C2×D5311yescharacteristic, complemented
950#483—531no—
951#483C2×D5311yescharacteristic, complemented
952#483C2×D5311yescharacteristic, complemented
953#482—531no—
954#482—531no—
955#481—531no—
956#481—531no—
957#481—531no—
958#480—531no—
959#479—531no—
960#479—531no—
961#479—531no—
962#479C2×D5311yescharacteristic, complemented
963#478—531no—
964#478—531no—
965#478—531no—
966#478—531no—
967#476—531no—
968#476—531no—
969#475—531no—
970#475C2×D5311yescharacteristic, complemented
971#470C2×D5311yescharacteristic, complemented
972#469—531no—
973#468—531no—
974#468—531no—
975#467—531no—
976#467C2×D5311yescharacteristic, complemented
977#466—531no—
978#466—531no—
979#465—531no—
980#465—531no—
981#465—531no—
982#465—531no—
983#464—531no—
984#464—531no—
985#464—531no—
986#464—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#463—531no—
991#461—531no—
992#461—531no—
993#460—531no—
994#460—531no—
995#452—531no—
996#452—531no—
997#451—531no—
998#450—531no—
999#450—531no—
1000#450—531no—
1001#449—531no—
1002#449—531no—
1003#448—531no—
1004#448—531no—
1005#448—531no—
1006#447—531no—
1007#446—531no—
1008C8×Q8—531no—
1009#442—531no—
1010#442—531no—
1011#442—531no—
1012#441—531no—
1013#441—531no—
1014#441C2×D5311yescharacteristic, complemented
1015#440—531no—
1016#440—531no—
1017#440—531no—
1018#440—531no—
1019#440—531no—
1020#440—531no—
1021C4×Q16—531no—
1022C4×Q16—531no—
1023C4×SD16—531no—
1024C4×SD16—531no—
1025C4×SD16—531no—
1026C4×SD16—531no—
1027C4×SD16—531no—
1028C4×SD16—531no—
1029C4×SD16—531no—
1030C4×SD16—531no—
1031C4×SD16—531no—
1032C4×SD16—531no—
1033C4×SD16—531no—
1034C4×SD16—531no—
1035C4×D8—531no—
1036C4×D8—531no—
1037#436—531no—
1038#435—531no—
1039#435C2×D5311yescharacteristic
1040C8×D4—531no—
1041C8×D4—531no—
1042C8×D4—531no—
1043#433—531no—
1044#433—531no—
1045#432—531no—
1046#428—531no—
1047#428C2×D5311yescharacteristic, complemented
1048C2×#106C2×D5311yescharacteristic, complemented
1049#416—531no—
1050#416—531no—
1051C2×#103—531no—
1052C2×#103—531no—
1053C2×#102—531no—
1054C2×#102—531no—
1055#405—531no—
1056#405—531no—
1057C2×C4×C8—531no—
1058C53#6149011yescharacteristic, complemented, Sylow
1059C2×#41—531no—
1060C2×#41—531no—
1061C2×#41—1061no—
1062C22×Q8—531no—
1063C22×Q8—531no—
1064C22×D4—531no—
1065C22×D4—531no—
1066C22×D4—1061no—
1067C23×C4—1061no—
1068#137—1064no—
1069AGL(1,ℤ/8)—1064no—
1070C2×Q16—531no—
1071C2×Q16—531no—
1072C2×Q16C22×D5311yescharacteristic
1073C2×SD16—531no—
1074C2×SD16—531no—
1075C2×SD16—531no—
1076C2×SD16—531no—
1077C2×SD16—531no—
1078C2×SD16—531no—
1079C2×SD16—531no—
1080C2×SD16—531no—
1081C2×SD16—531no—
1082C2×SD16—531no—
1083C2×SD16—1064no—
1084C2×D8—531no—
1085C2×D8—531no—
1086C2×D8—531no—
1087C2×M16—531no—
1088C2×M16C22×D5311yescharacteristic
1089C22×C8—531no—
1090C22×C8—531no—
1091C22×C8—531no—
1092C22×C8C22×D5311yescharacteristic
1093C4⋊Q8—531no—
1094C4⋊Q8—531no—
1095C4⋊Q8—1061no—
1096C4⋊Q8—1061no—
1097C4⋊Q8C22×D5311yescharacteristic
1098#127—531no—
1099#126—21no—
1100#126—531no—
1101#126—531no—
1102#126—1061no—
1103#126—1061no—
1104#126—1061no—
1105#126—1061no—
1106#126—1061no—
1107#126—1061no—
1108#126—1061no—
1109#126—1061no—
1110#126—1061no—
1111#126—1061no—
1112#126—1061no—
1113#125—21no—
1114#125—21no—
1115#125—531no—
1116#125—531no—
1117#125—531no—
1118#125—531no—
1119#125—1061no—
1120#125—1061no—
1121#125—1061no—
1122#125—1061no—
1123#125—1061no—
1124#125C22×D5311yescharacteristic
1125#124—531no—
1126#124—531no—
1127#124—531no—
1128#124—531no—
1129#124—531no—
1130#124—1061no—
1131#124—1061no—
1132#124—1061no—
1133#124—1061no—
1134#124—1061no—
1135#123—21no—
1136#123—531no—
1137#123—531no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147#123—1061no—
1148#123—1061no—
1149#123—1061no—
1150#123—1061no—
1151#123—1061no—
1152#123—1061no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—531no—
1156C22⋊Q8—531no—
1157C22⋊Q8—531no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8—1061no—
1166C22⋊Q8—1061no—
1167C22⋊Q8—1061no—
1168C22⋊Q8—1061no—
1169C22⋊Q8C22×D5311yescharacteristic
1170C22⋊Q8C22×D5311yescharacteristic
1171C22⋊Q8C22×D5311yescharacteristic
1172C22⋊Q8C22×D5311yescharacteristic
1173#121—531no—
1174#121—531no—
1175#121—531no—
1176#121—531no—
1177#121—531no—
1178#121—531no—
1179#121—531no—
1180#121—1061no—
1181#121—1061no—
1182#121—1061no—
1183#121—1061no—
1184#121—1061no—
1185#121—1061no—
1186#121—1061no—
1187#121—1061no—
1188#121—1061no—
1189#120—1061no—
1190#120—1061no—
1191#120—1061no—
1192#120—1061no—
1193C4×Q8—531no—
1194C4×Q8—531no—
1195C4×Q8—531no—
1196C4×Q8—531no—
1197C4×Q8—531no—
1198C4×Q8—531no—
1199C4×Q8—531no—
1200C4×Q8—531no—
1201C4×Q8—531no—
1202C4×Q8—1061no—
1203C4×Q8—1061no—
1204C4×Q8—1061no—
1205C4×Q8—1061no—
1206C4×Q8—1061no—
1207C4×Q8C22×D5311yescharacteristic
1208C4×Q8C22×D5311yescharacteristic
1209C4×D4—21no—
1210C4×D4—531no—
1211C4×D4—531no—
1212C4×D4—531no—
1213C4×D4—531no—
1214C4×D4—531no—
1215C4×D4—531no—
1216C4×D4—531no—
1217C4×D4—531no—
1218C4×D4—531no—
1219C4×D4—531no—
1220C4×D4—531no—
1221C4×D4—531no—
1222C4×D4—1061no—
1223C4×D4—1061no—
1224C4×D4—1061no—
1225C4×D4—1061no—
1226C4×D4—1061no—
1227C4×D4—1061no—
1228C4×D4—1061no—
1229C4×D4—1061no—
1230C4×D4—1061no—
1231C4×D4—1061no—
1232C4×D4—1061no—
1233C4×D4—1061no—
1234C4×D4—1061no—
1235C4×D4—1061no—
1236C4×D4—1061no—
1237C4×D4—1061no—
1238C4×D4C22×D5311yescharacteristic
1239#117—21no—
1240#117—531no—
1241#117—531no—
1242#117—531no—
1243#117—1061no—
1244#117—1061no—
1245#117—1061no—
1246#117—1061no—
1247#117—1061no—
1248#117—1061no—
1249#117—1061no—
1250#117—1061no—
1251#117C22×D5311yescharacteristic
1252C2×C4⋊C4—531no—
1253C2×C4⋊C4—1061no—
1254C2×C4⋊C4—1061no—
1255C2×C4⋊C4—1061no—
1256C2×C4⋊C4—1061no—
1257C2×C4⋊C4C22×D5311yescharacteristic
1258C2×C4⋊C4C22×D5311yescharacteristic
1259C2×C4⋊C4C22×D5311yescharacteristic
1260C2×C22⋊C4—1061no—
1261C2×C22⋊C4—1061no—
1262C2×C22⋊C4—1061no—
1263C2×C22⋊C4—1061no—
1264C2×C22⋊C4—1061no—
1265C2×C42—531no—
1266C2×C42—1061no—
1267#107—531no—
1268#107—531no—
1269#107—531no—
1270#107C22×D5311yescharacteristic
1271#107C22×D5311yescharacteristic
1272#107C22×D5311yescharacteristic
1273#106—531no—
1274#106—531no—
1275#106—531no—
1276#106—531no—
1277#106C22×D5311yescharacteristic
1278#106C22×D5311yescharacteristic
1279#106C22×D5311yescharacteristic
1280#106C22×D5311yescharacteristic
1281#106C22×D5311yescharacteristic
1282#106C22×D5311yescharacteristic
1283C4⋊C8—531no—
1284C4⋊C8—531no—
1285C4⋊C8—531no—
1286C4⋊C8—531no—
1287C4⋊C8—531no—
1288C4⋊C8C22×D5311yescharacteristic
1289#103—531no—
1290#103—531no—
1291#103—531no—
1292#103—531no—
1293#103—531no—
1294#103—531no—
1295#103—531no—
1296#103—531no—
1297#103—531no—
1298#103—531no—
1299#103C22×D5311yescharacteristic
1300#103C22×D5311yescharacteristic
1301#103C22×D5311yescharacteristic
1302#103C22×D5311yescharacteristic
1303#103C22×D5311yescharacteristic
1304#103C22×D5311yescharacteristic
1305#102—531no—
1306#102—531no—
1307#102—531no—
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—
1321C22⋊C8—531no—
1322C22⋊C8—531no—
1323C22⋊C8—531no—
1324C22⋊C8—531no—
1325C22⋊C8C22×D5311yescharacteristic
1326C22⋊C8C22×D5311yescharacteristic
1327#97—531no—
1328#97—531no—
1329#97—531no—
1330#97C22×D5311yescharacteristic
1331C4×C8—531no—
1332C4×C8—531no—
1333C4×C8—531no—
1334C4×C8—531no—
1335C4×C8—531no—
1336C4×C8—531no—
1337C24—1061no—
1338C24—1061no—
1339#41—1062no—
1340#41—1062no—
1341#41—4242no—
1342#41—2121no—
1343#41—2121no—
1344C2×Q8—21no—
1345C2×Q8—531no—
1346C2×Q8—531no—
1347C2×Q8—531no—
1348C2×Q8—1061no—
1349C2×Q8—1061no—
1350C2×Q8—1062no—
1351C2×Q8—1061no—
1352C2×Q8—1062no—
1353C2×Q8—2121no—
1354C2×Q8—2121no—
1355C2×Q8C23×D5311yescharacteristic
1356C2×Q8C23×D5311yescharacteristic
1357C2×D4—531no—
1358C2×D4—531no—
1359C2×D4—531no—
1360C2×D4—531no—
1361C2×D4—531no—
1362C2×D4—531no—
1363C2×D4—1062no—
1364C2×D4—1062no—
1365C2×D4—1061no—
1366C2×D4—1061no—
1367C2×D4—1061no—
1368C2×D4—1061no—
1369C2×D4—1061no—
1370C2×D4—1061no—
1371C2×D4—1061no—
1372C2×D4—1061no—
1373C2×D4—1061no—
1374C2×D4—1061no—
1375C2×D4—1061no—
1376C2×D4—1061no—
1377C2×D4—4242no—
1378C2×D4—2121no—
1379C2×D4—2121no—
1380C2×D4D4×D5311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—531no—
1385C22×C4—531no—
1386C22×C4—531no—
1387C22×C4—1061no—
1388C22×C4—1061no—
1389C22×C4—1061no—
1390C22×C4—1061no—
1391C22×C4—1061no—
1392C22×C4—1061no—
1393C22×C4—1061no—
1394C22×C4—1061no—
1395C22×C4—1061no—
1396C22×C4—1061no—
1397C22×C4—1061no—
1398C22×C4—1061no—
1399C22×C4—1061no—
1400C22×C4—1061no—
1401C22×C4—1061no—
1402C22×C4—4242no—
1403C22×C4C23×D5311yescharacteristic
1404C22×C4C23×D5311yescharacteristic
1405Q16—22no—
1406Q16—1062no—
1407Q16—2121no—
1408SD16—534no—
1409SD16—1062no—
1410SD16—1062no—
1411SD16—1062no—
1412SD16—1062no—
1413SD16—1062no—
1414SD16—2121no—
1415SD16—2121no—
1416SD16—2121no—
1417SD16—2121no—
1418D8—1062no—
1419D8—1062no—
1420D8—2121no—
1421M16—22no—
1422M16—1062no—
1423C2×C8—22no—
1424C2×C8—531no—
1425C2×C8—531no—
1426C2×C8—531no—
1427C2×C8—531no—
1428C2×C8—2121no—
1429C2×C8—2121no—
1430C2×C8—2121no—
1431C2×C8C23×D5311yescharacteristic
1432C2×C8C23×D5311yescharacteristic
1433C2×C8C23×D5311yescharacteristic
1434C2×C8C23×D5311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—531no—
1448C4⋊C4—531no—
1449C4⋊C4—531no—
1450C4⋊C4—531no—
1451C4⋊C4—531no—
1452C4⋊C4—531no—
1453C4⋊C4—531no—
1454C4⋊C4—531no—
1455C4⋊C4—531no—
1456C4⋊C4—531no—
1457C4⋊C4—531no—
1458C4⋊C4—1061no—
1459C4⋊C4—1061no—
1460C4⋊C4—1061no—
1461C4⋊C4—1061no—
1462C4⋊C4—1061no—
1463C4⋊C4—1061no—
1464C4⋊C4—1061no—
1465C4⋊C4—1061no—
1466C4⋊C4—1061no—
1467C4⋊C4—1061no—
1468C4⋊C4—1061no—
1469C4⋊C4—1061no—
1470C4⋊C4—1061no—
1471C4⋊C4—1061no—
1472C4⋊C4—1061no—
1473C4⋊C4—1061no—
1474C4⋊C4—1061no—
1475C4⋊C4—1061no—
1476C4⋊C4—1061no—
1477C4⋊C4—1061no—
1478C4⋊C4D4×D5311yescharacteristic
1479C4⋊C4C23×D5311yescharacteristic
1480C4⋊C4C23×D5311yescharacteristic
1481C4⋊C4C23×D5311yescharacteristic
1482C4⋊C4C23×D5311yescharacteristic
1483C4⋊C4C23×D5311yescharacteristic
1484C4⋊C4C23×D5311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—531no—
1491C22⋊C4—531no—
1492C22⋊C4—531no—
1493C22⋊C4—531no—
1494C22⋊C4—531no—
1495C22⋊C4—531no—
1496C22⋊C4—531no—
1497C22⋊C4—531no—
1498C22⋊C4—1061no—
1499C22⋊C4—1061no—
1500C22⋊C4—1061no—
1501C22⋊C4—1061no—
1502C22⋊C4—1061no—
1503C22⋊C4—1061no—
1504C22⋊C4—1061no—
1505C22⋊C4—1061no—
1506C22⋊C4—1061no—
1507C22⋊C4—1061no—
1508C22⋊C4—1061no—
1509C22⋊C4—1061no—
1510C22⋊C4—1061no—
1511C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1526C22⋊C4D4×D5311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—531no—
1531C42—531no—
1532C42—531no—
1533C42—531no—
1534C42—531no—
1535C42—1061no—
1536C42—1061no—
1537C42—1061no—
1538C42—1061no—
1539C42—1061no—
1540C42—1061no—
1541C42—1061no—
1542C42—1061no—
1543C42—1061no—
1544C42C23×D5311yescharacteristic
1545C23—531no—
1546C23—1061no—
1547C23—1061no—
1548C23—1061no—
1549C23—1061no—
1550C23—4241no—
1551C23—4241no—
1552C23—4241no—
1553C23—2122no—
1554C23—2122no—
1555C23—2122no—
1556C23C2×D4×D5311yescharacteristic
1557C23C2×D4×D5311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—532no—
1564Q8—1061no—
1565Q8—1061no—
1566Q8—1061no—
1567Q8—4241no—
1568Q8—2121no—
1569Q8—2122no—
1570Q8—2122no—
1571D4—22no—
1572D4—532no—
1573D4—1062no—
1574D4—1061no—
1575D4—1061no—
1576D4—1061no—
1577D4—1061no—
1578D4—1061no—
1579D4—1061no—
1580D4—1061no—
1581D4—4241no—
1582D4—4241no—
1583D4—4241no—
1584D4—4241no—
1585D4—4241no—
1586D4—4241no—
1587D4—2122no—
1588D4—2122no—
1589D4—2122no—
1590D4—2121no—
1591D4—2122no—
1592D4—2122no—
1593D4—2122no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—42no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—531no—
1610C2×C4—531no—
1611C2×C4—531no—
1612C2×C4—531no—
1613C2×C4—531no—
1614C2×C4—531no—
1615C2×C4—531no—
1616C2×C4—1062no—
1617C2×C4—1061no—
1618C2×C4—1061no—
1619C2×C4—1061no—
1620C2×C4—1061no—
1621C2×C4—1061no—
1622C2×C4—1061no—
1623C2×C4—4241no—
1624C2×C4—4241no—
1625C2×C4—4241no—
1626C2×C4—4241no—
1627C2×C4—4241no—
1628C2×C4—4241no—
1629C2×C4—4241no—
1630C2×C4—4241no—
1631C2×C4—4241no—
1632C2×C4—4241no—
1633C2×C4—4241no—
1634C2×C4—2122no—
1635C2×C4—2122no—
1636C2×C4—2122no—
1637C2×C4—2121no—
1638C2×C4—2122no—
1639C2×C4C2×D4×D5311yescharacteristic
1640C2×C4C2×D4×D5311yescharacteristic
1641C2×C4C2×D4×D5311yescharacteristic
1642C2×C4C2×D4×D5311yescharacteristic
1643C2×C4C24×D5311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1061no—
1648C8—1061no—
1649C8—1061no—
1650C8—1061no—
1651C8#41×D5312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—8482no—
1658C22—1061no—
1659C22—1061no—
1660C22—1062no—
1661C22—1061no—
1662C22—4244no—
1663C22—2121no—
1664C22—2121no—
1665C22—2121no—
1666C22—2121no—
1667C22—2121no—
1668C22—2121no—
1669C22—2121no—
1670C22—2121no—
1671C22—2121no—
1672C22—2121no—
1673C22—2121no—
1674C22#1681143212yes—
1675C22C22×D4×D5311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—1061no—
1689C4—1061no—
1690C4—1061no—
1691C4—1061no—
1692C4—1062no—
1693C4—1061no—
1694C4—1061no—
1695C4—1061no—
1696C4—2121no—
1697C4—2121no—
1698C4—2121no—
1699C4C2×#41×D5311yescharacteristic
1700C4#1681146011yescharacteristic
1701C2—22no—
1702C2—41no—
1703C2—4241no—
1704C2—4241no—
1705C2—4241no—
1706C2—2122no—
1707C2—2121no—
1708C2#2028820211yescharacteristic
1709C2C2×#1681143211yescharacteristic
1710C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3344C2
socleC22×C53C23×D4
hypercenter#3344D53
hypocenterC53#61490
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #20288705C2semidirect
2. #20288660C2semidirect
3. #20287782C2semidirect
4. #20287655C2semidirect
5. #20287410C2semidirect
6. #20287367C2semidirect
7. #20287271C2semidirect
8. #20287181C2semidirect
9. #20286620C2semidirect
10. #20286596C2semidirect
11. #20286578C2semidirect
12. #20286563C2semidirect
13. #20286548C2semidirect
14. #20286533C2semidirect
15. #20286343C2semidirect
16. #20286222C2semidirect
17. #20286215C2semidirect
18. #20285403C2semidirect
19. #20285384C2semidirect
20. #20285286C2semidirect
21. #20285008C2semidirect
22. #20284999C2semidirect
23. #20284987C2semidirect
24. #20284963C2semidirect
25. #20284889C2semidirect
26. #20284856C2semidirect
27. #20283685C2semidirect
28. #20283557C2semidirect
29. #20283545C2semidirect
30. C2×#16810710C2semidirect
31. C53×#3344C2semidirect
36. #16811348C22semidirect
37. #16811345C22semidirect
43. #16811321C22semidirect
45. #16811308C22semidirect
49. #16811286C22semidirect
50. #16811283C22semidirect
57. #16811247C22semidirect
60. #16811233C22semidirect
67. #16811159C22semidirect
73. #16811104C22semidirect
74. #16811099C22semidirect
76. C2×#13133182C22semidirect
78. #16811030C22semidirect
79. #16811024C22semidirect
80. #16811016C22semidirect
82. #16811008C22semidirect
83. #16810980C22semidirect
84. #16810979C22semidirect
85. #16810979C22semidirect
86. #16810979C22semidirect
87. #16810972C22semidirect
89. #16810964C22semidirect
90. #16810955C22semidirect
91. #16810950C22semidirect
92. #16810949C22semidirect
93. #16810943C22semidirect
96. #16810936C22semidirect
97. #16810929C22semidirect
98. #16810929C22semidirect
99. #16810927C22semidirect
102. #16810922C22semidirect
103. #16810922C22semidirect
104. #16810912C22semidirect
106. #16810907C22semidirect
107. #16810877C22semidirect
108. #16810870C22semidirect
110. #16810862C22semidirect
111. #16810860C22semidirect
115. #16810854C22semidirect
116. #16810853C22semidirect
117. #16810848C22semidirect
118. #16810848C22semidirect
119. #16810848C22semidirect
120. #16810845C22semidirect
122. #16810841C22semidirect
123. #16810841C22semidirect
126. #16810827C22semidirect
130. #16810783C22semidirect
131. #16810778C22semidirect
138. #16810763C22semidirect
139. #16810763C22semidirect
141. #16810751C22semidirect
142. #16810747C22semidirect
144. #16810734C22semidirect
145. #16810734C22semidirect
146. #16810727C22semidirect
147. #16810727C22semidirect
149. #16810726C22semidirect
152. #16810722C22semidirect
153. #16810722C22semidirect
154. Q16×Dic53C22semidirect
155. C4×#11719925C22semidirect
161. #16810710C22semidirect
162. #16810710C22semidirect
163. #16810710C22semidirect
164. #16810710C22semidirect
165. #16810710C22semidirect
166. #16810708C22semidirect
167. #16810708C22semidirect
169. #16810705C22semidirect
170. #16810699C22semidirect
171. #16810694C22semidirect
173. #16810686C22semidirect
174. #16810686C22semidirect
175. #16810683C22semidirect
176. #16810681C22semidirect
177. #16810677C22semidirect
178. #16810662C22semidirect
180. #16810617C22semidirect
181. C2×#13133140C22semidirect
182. #103×D53C22semidirect
185. #16810581C22semidirect
186. #16810580C22semidirect
187. C2×C8×Dic53C22semidirect
190. C53×#501C22semidirect
191. C53×#485C22semidirect
192. C53×#484C22semidirect
193. C53×#483C22semidirect
194. C53×#483C22semidirect
195. C53×#479C22semidirect
196. C53×#475C22semidirect
197. C53×#470C22semidirect
198. C53×#467C22semidirect
199. C53×#441C22semidirect
201. C53×#428C22semidirect
202. C2×#106×C53C22semidirect
686. #11719913#41semidirect
854. #3344D53semidirect
936. #501C2×D53semidirect
948. #485C2×D53semidirect
949. #484C2×D53semidirect
951. #483C2×D53semidirect
952. #483C2×D53semidirect
962. #479C2×D53semidirect
970. #475C2×D53semidirect
971. #470C2×D53semidirect
976. #467C2×D53semidirect
1014. #441C2×D53semidirect
1047. #428C2×D53semidirect
1048. C2×#106C2×D53semidirect
1058. C53#61490semidirect

Maximal subgroups

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

subgroupindex
#202887052
#202886602
#202877822
#202876552
#202874102
#202873672
#202872712
#202871812
#202866202
#202865962
#202865782
#202865632
#202865482
#202865332
#202863432
#202862222
#202862152
#202854032
#202853842
#202852862
#202850082
#202849992
#202849872
#202849632
#202848892
#202848562
#202836852
#202835572
#202835452
C2×#168107102
C53×#33442
#6149053