Finite Group Databasebeta

← #28269593

Subgroups — #28269593

Order 13568.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288511C211yesmaximal, characteristic, complemented
2#41×C22⋊D53C211yesmaximal, characteristic
3#20287049C211yesmaximal, characteristic, complemented
4#20287027C211yesmaximal, characteristic, complemented
5#20286830C211yesmaximal, characteristic, complemented
6#20286827C211yesmaximal, characteristic, complemented
7#20286800C211yesmaximal, characteristic, complemented
8#20286797C211yesmaximal, characteristic, complemented
9#20286584C211yesmaximal, characteristic, complemented
10#20286532C211yesmaximal, characteristic, complemented
11#20286460C211yesmaximal, characteristic, complemented
12#20286409C211yesmaximal, characteristic, complemented
13#20286375C211yesmaximal, characteristic, complemented
14#20286355C211yesmaximal, characteristic, complemented
15#20286289C211yesmaximal, characteristic, complemented
16#20286279C211yesmaximal, characteristic, complemented
17#20286229C211yesmaximal, characteristic, complemented
18#20286219C211yesmaximal, characteristic, complemented
19#20285723C211yesmaximal, characteristic, complemented
20#20285669C211yesmaximal, characteristic, complemented
21#20285547C211yesmaximal, characteristic, complemented
22#20285543C211yesmaximal, characteristic, complemented
23#20285496C211yesmaximal, characteristic, complemented
24#20285494C211yesmaximal, characteristic, complemented
25#20284870C211yesmaximal, characteristic, complemented
26#20284779C211yesmaximal, characteristic, complemented
27#20283972C211yesmaximal, characteristic, complemented
28C2×#16810785C211yesmaximal, characteristic, complemented
29#452×D53C211yesmaximal, characteristic, complemented
30#20283751C211yesmaximal, characteristic, complemented
31C53×#3007C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic
33C2×#13133249C2211yescharacteristic, complemented
34C2×#13133246C2211yescharacteristic, complemented
35C22×#11719925C2211yescharacteristic, complemented
36C2×Q16×D53C2211yescharacteristic, complemented
37C22×#11719923C2211yescharacteristic, complemented
38C2×SD16×D53C2211yescharacteristic, complemented
39#16811331C2211yescharacteristic
40#16811331C2211yescharacteristic, complemented
41#16811328—21no—
42#16811328—21no—
43#16811328C2211yescharacteristic, complemented
44#16811328C2211yescharacteristic, complemented
45#16811327—21no—
46#16811327—21no—
47#16811292C2211yescharacteristic
48Q8×C22⋊D53C2211yescharacteristic
49Q8×C22⋊D53C2211yescharacteristic, complemented
50Q8×C22⋊D53C2211yescharacteristic, complemented
51#16811286C2211yescharacteristic
52#16811286C2211yescharacteristic, complemented
53#16811284C2211yescharacteristic
54#16811280C2211yescharacteristic
55#16811272—21no—
56#16811272C2211yescharacteristic
57#16811267—21no—
58#16811267C2211yescharacteristic
59#16811261—21no—
60#16811261C2211yescharacteristic
61D4×C22⋊D53—21no—
62D4×C22⋊D53C2211yescharacteristic
63#16811252—21no—
64#16811249—21no—
65#16811248—21no—
66#16811175C2211yescharacteristic, complemented
67#16811175C2211yescharacteristic, complemented
68#16811169—21no—
69#16811169C2211yescharacteristic
70#16811134—21no—
71#16811134C2211yescharacteristic
72#16811130—21no—
73#16811130C2211yescharacteristic
74C2×#13133196C2211yescharacteristic, complemented
75C22⋊Q8×D53C2211yescharacteristic, complemented
76C22⋊Q8×D53C2211yescharacteristic, complemented
77#16811096—21no—
78#41×Dic53C2211yescharacteristic
79C2×C4×C22⋊D53—21no—
80C2×C4×C22⋊D53C2211yescharacteristic
81#16811016C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811001C2211yescharacteristic, complemented
84#16810994C2211yescharacteristic, complemented
85#16810984C2211yescharacteristic, complemented
86#16810981C2211yescharacteristic, complemented
87#16810972C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810965C2211yescharacteristic, complemented
90#16810965C2211yescharacteristic, complemented
91#16810961C2211yescharacteristic, complemented
92#16810961C2211yescharacteristic, complemented
93#16810959C2211yescharacteristic, complemented
94#16810957C2211yescharacteristic, complemented
95#16810953C2211yescharacteristic, complemented
96#16810952C2211yescharacteristic, complemented
97#16810942C2211yescharacteristic, complemented
98#16810940C2211yescharacteristic, complemented
99#16810936C2211yescharacteristic, complemented
100#16810935C2211yescharacteristic, complemented
101#16810916C2211yescharacteristic, complemented
102#16810911C2211yescharacteristic, complemented
103#16810906C2211yescharacteristic, complemented
104#16810901C2211yescharacteristic, complemented
105#16810881C2211yescharacteristic, complemented
106#16810881C2211yescharacteristic, complemented
107#16810880C2211yescharacteristic, complemented
108#16810878C2211yescharacteristic, complemented
109#16810869C2211yescharacteristic, complemented
110#16810869C2211yescharacteristic, complemented
111#16810868C2211yescharacteristic, complemented
112#16810866C2211yescharacteristic, complemented
113#16810863C2211yescharacteristic, complemented
114#16810862C2211yescharacteristic, complemented
115#16810862C2211yescharacteristic, complemented
116#16810861C2211yescharacteristic, complemented
117#16810854C2211yescharacteristic, complemented
118#16810854C2211yescharacteristic, complemented
119#16810851C2211yescharacteristic, complemented
120#16810849C2211yescharacteristic, complemented
121#16810848C2211yescharacteristic, complemented
122#16810847C2211yescharacteristic, complemented
123#16810844C2211yescharacteristic, complemented
124#16810843C2211yescharacteristic, complemented
125#16810832C2211yescharacteristic, complemented
126#16810831C2211yescharacteristic, complemented
127#16810831C2211yescharacteristic, complemented
128#16810831C2211yescharacteristic, complemented
129#16810826C2211yescharacteristic, complemented
130#16810826C2211yescharacteristic, complemented
131#16810822C2211yescharacteristic, complemented
132#16810821C2211yescharacteristic, complemented
133#16810788C2211yescharacteristic, complemented
134#16810787C2211yescharacteristic, complemented
135#16810787C2211yescharacteristic, complemented
136#16810786C2211yescharacteristic, complemented
137#16810785C2211yescharacteristic
138#16810785C2211yescharacteristic
139#16810785C2211yescharacteristic, complemented
140#16810785C2211yescharacteristic, complemented
141#16810785C2211yescharacteristic, complemented
142#16810785C2211yescharacteristic, complemented
143#16810785C2211yescharacteristic, complemented
144#16810785C2211yescharacteristic, complemented
145#16810784C2211yescharacteristic, complemented
146#16810783C2211yescharacteristic, complemented
147#16810783C2211yescharacteristic, complemented
148#16810782C2211yescharacteristic, complemented
149#16810781C2211yescharacteristic, complemented
150#16810780C2211yescharacteristic, complemented
151#16810779C2211yescharacteristic, complemented
152#16810777C2211yescharacteristic, complemented
153#16810777C2211yescharacteristic, complemented
154#16810777C2211yescharacteristic, complemented
155#16810775C2211yescharacteristic, complemented
156#16810772C2211yescharacteristic, complemented
157#16810764C2211yescharacteristic, complemented
158#16810762C2211yescharacteristic, complemented
159#16810760C2211yescharacteristic, complemented
160#16810760C2211yescharacteristic, complemented
161#16810730C2211yescharacteristic, complemented
162#16810727C2211yescharacteristic, complemented
163#16810724C2211yescharacteristic, complemented
164#16810720C2211yescharacteristic, complemented
165Q16×Dic53C2211yescharacteristic, complemented
166#16810715C2211yescharacteristic, complemented
167#16810714C2211yescharacteristic, complemented
168SD16×Dic53C2211yescharacteristic, complemented
169#16810699C2211yescharacteristic, complemented
170#16810699C2211yescharacteristic, complemented
171#16810692C2211yescharacteristic, complemented
172#16810692C2211yescharacteristic, complemented
173#16810691C2211yescharacteristic, complemented
174#16810691C2211yescharacteristic, complemented
175#16810686C2211yescharacteristic
176#16810686C2211yescharacteristic
177#16810677C2211yescharacteristic, complemented
178#16810673C2211yescharacteristic, complemented
179#16810623C2211yescharacteristic, complemented
180#16810621C2211yescharacteristic, complemented
181C2×#13133141C2211yescharacteristic, complemented
182#103×D53C2211yescharacteristic, complemented
183C2×#13133138C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810585C2211yescharacteristic, complemented
186C2×C22⋊#88322C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C22×#41×C53C2211yescharacteristic
189C2×#137×C53C2211yescharacteristic, complemented
190C2×#137×C53C2211yescharacteristic, complemented
191C2×C22⋊Q8×C53C2211yescharacteristic, complemented
192C53×#452C2211yescharacteristic
193C53×#452C2211yescharacteristic
194C53×#452C2211yescharacteristic, complemented
195C53×#452C2211yescharacteristic, complemented
196C53×#451C2211yescharacteristic, complemented
197C53×#451C2211yescharacteristic, complemented
198C53×#450C2211yescharacteristic, complemented
199C53×#450C2211yescharacteristic, complemented
200C53×#417C2211yescharacteristic, complemented
201C53×#417C2211yescharacteristic, complemented
202C53×#407C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719947—21no—
207C2×#11719947C2311yescharacteristic
208#41×D53—42no—
209#41×D53—42no—
210C22×Dic106C2311yescharacteristic
211C2×Q8×D53C2311yescharacteristic
212C2×Q8×D53C2311yescharacteristic
213C2×Q8×D53C2311yescharacteristic
214C22×C22⋊D53—21no—
215C22×C22⋊D53D411yescharacteristic
216C2×D4×D53—21no—
217C2×D4×D53C2311yescharacteristic
218C22×C4×D53—21no—
219C22×C4×D53C2311yescharacteristic
220#13133249—42no—
221#13133246—42no—
222C2×Dic212C2311yescharacteristic
223C2×Dic212C2311yescharacteristic
224C2×#11719925—42no—
225C2×#11719925C2311yescharacteristic
226C2×#11719925C2311yescharacteristic
227C2×#11719925C2311yescharacteristic
228C2×#11719925C2311yescharacteristic
229C2×#11719925C2311yescharacteristic
230C2×#11719925C2311yescharacteristic
231Q16×D53—42no—
232C2×#11719913C2311yescharacteristic
233C2×#11719913C2311yescharacteristic
234C2×#11719923—42no—
235C2×#11719923C2311yescharacteristic
236C2×#11719923C2311yescharacteristic
237C2×#11719923C2311yescharacteristic
238C2×#11719923C2311yescharacteristic
239C2×#11719924C2311yescharacteristic
240C2×#11719924C2311yescharacteristic
241SD16×D53—42no—
242C2×#11719912C2311yescharacteristic
243C2×#11719912C2311yescharacteristic
244C22×#88322C2311yescharacteristic
245C22×#88322C2311yescharacteristic
246C2×C8×D53C2311yescharacteristic
247C2×C8×D53C2311yescharacteristic
248#13133216—21no—
249#13133216—21no—
250#13133216C2311yescharacteristic
251#13133216C2311yescharacteristic
252#13133215—21no—
253#13133215—21no—
254#13133215—21no—
255#13133215C2311yescharacteristic
256#13133215C2311yescharacteristic
257#13133215C2311yescharacteristic
258#13133213—21no—
259#13133213C2311yescharacteristic
260#13133207—21no—
261#13133207—21no—
262#13133207—21no—
263#13133207—21no—
264#13133207—21no—
265#13133207—21no—
266#13133206—21no—
267#13133206C2311yescharacteristic
268#13133204—21no—
269#13133204C2311yescharacteristic
270#13133200—21no—
271#13133200—21no—
272#13133200—21no—
273#13133198—21no—
274#13133198—21no—
275#13133198—21no—
276#13133197—21no—
277#13133197—21no—
278#13133197C2311yescharacteristic
279#13133197C2311yescharacteristic
280#13133196—21no—
281#13133196—21no—
282#13133196—21no—
283#13133196—21no—
284#13133196—21no—
285#13133196—21no—
286#13133196—21no—
287#13133196—21no—
288#13133196C2311yescharacteristic
289#13133196C2311yescharacteristic
290#13133196C2311yescharacteristic
291#13133196C2311yescharacteristic
292#13133196C2311yescharacteristic
293#13133196C2311yescharacteristic
294#13133195—21no—
295#13133195—21no—
296#13133195—21no—
297#13133195—21no—
298#13133195—21no—
299#13133195—21no—
300#13133194—21no—
301#13133194—21no—
302#13133194—21no—
303#13133194—21no—
304#13133194—21no—
305#13133194—21no—
306#13133194—21no—
307#13133194—21no—
308#13133193—21no—
309#13133193—21no—
310#13133193—21no—
311#13133193—21no—
312#13133193C2311yescharacteristic
313#13133193C2311yescharacteristic
314#13133193C2311yescharacteristic
315#13133193C2311yescharacteristic
316#13133191—21no—
317#13133191—21no—
318#13133191C2311yescharacteristic
319#13133191C2311yescharacteristic
320#13133189—21no—
321#13133189—21no—
322#13133189—21no—
323#13133189—21no—
324#13133189—21no—
325#13133189—21no—
326#13133188—21no—
327#13133188—21no—
328#13133188C2311yescharacteristic
329#13133188C2311yescharacteristic
330#13133186—21no—
331#13133186—21no—
332#13133186—21no—
333#13133185—21no—
334#13133185—21no—
335#13133185—21no—
336Q8×Dic53C2311yescharacteristic
337Q8×Dic53C2311yescharacteristic
338Q8×Dic53C2311yescharacteristic
339Q8×Dic53C2311yescharacteristic
340#13133182—21no—
341#13133182—21no—
342#13133182C2311yescharacteristic
343#13133182C2311yescharacteristic
344D4×Dic53—21no—
345D4×Dic53—21no—
346D4×Dic53C2311yescharacteristic
347D4×Dic53C2311yescharacteristic
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53—21no—
353C4×C22⋊D53—21no—
354C4×C22⋊D53—21no—
355C4×C22⋊D53—21no—
356C4×C22⋊D53—21no—
357C4×C22⋊D53—21no—
358C4×C22⋊D53—21no—
359C4×C22⋊D53—21no—
360C4×C22⋊D53—21no—
361C4×C22⋊D53—21no—
362C4×C22⋊D53D411yescharacteristic
363C4×C22⋊D53D411yescharacteristic
364C4×C22⋊D53D411yescharacteristic
365C4×C22⋊D53D411yescharacteristic
366C4×C22⋊D53C2311yescharacteristic
367C4×C22⋊D53C2311yescharacteristic
368C4×C22⋊D53C2311yescharacteristic
369C4×C22⋊D53C2311yescharacteristic
370#13133177—21no—
371#13133177—21no—
372#13133177—21no—
373#13133177—21no—
374#13133176—21no—
375#13133176C2311yescharacteristic
376#13133173—21no—
377#13133173—21no—
378C2×C4⋊Dic53C2311yescharacteristic
379C2×#11719919—21no—
380C2×#11719919—21no—
381C2×#11719919D411yescharacteristic
382C4⋊C4×D53—21no—
383C4⋊C4×D53—21no—
384C4⋊C4×D53C2311yescharacteristic
385C4⋊C4×D53C2311yescharacteristic
386C2×C22⋊Dic53—21no—
387C2×C22⋊Dic53—21no—
388C2×C22⋊Dic53D411yescharacteristic
389C2×#11719921—21no—
390C2×#11719921D411yescharacteristic
391C22⋊C4×D53—21no—
392C22⋊C4×D53—21no—
393C2×C4×Dic53—21no—
394C2×C4×Dic53C2311yescharacteristic
395#13133151C2311yescharacteristic
396#13133151C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133149C2311yescharacteristic
400#13133149C2311yescharacteristic
401#13133148C2311yescharacteristic
402#13133148C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133141C2311yescharacteristic
416#13133141C2311yescharacteristic
417#13133141C2311yescharacteristic
418#13133141C2311yescharacteristic
419#13133141C2311yescharacteristic
420#13133141C2311yescharacteristic
421#13133140C2311yescharacteristic
422#13133140C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431C22⋊#88322C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434C22⋊#88322C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133127C2311yescharacteristic
440#13133127C2311yescharacteristic
441C8×Dic53C2311yescharacteristic
442C8×Dic53C2311yescharacteristic
443C2×#41×C53—21no—
444C2×#41×C53—21no—
445C2×#41×C53—42no—
446C2×#41×C53—42no—
447C2×#41×C53C2311yescharacteristic
448C2×#41×C53C2311yescharacteristic
449C2×#41×C53C2311yescharacteristic
450C2×#41×C53C2311yescharacteristic
451C22×Q8×C53C2311yescharacteristic
452C22×Q8×C53C2311yescharacteristic
453C22×D4×C53—21no—
454C22×D4×C53C2311yescharacteristic
455C23×C4×C53—21no—
456C23×C4×C53C2311yescharacteristic
457#137×C53—42no—
458#137×C53—42no—
459C2×Q16×C53C2311yescharacteristic
460C2×Q16×C53C2311yescharacteristic
461C2×Q16×C53C2311yescharacteristic
462C2×Q16×C53C2311yescharacteristic
463C2×SD16×C53C2311yescharacteristic
464C2×SD16×C53C2311yescharacteristic
465C2×SD16×C53C2311yescharacteristic
466C2×SD16×C53C2311yescharacteristic
467C2×M16×C53C2311yescharacteristic
468C2×M16×C53C2311yescharacteristic
469C22⋊Q8×C53—21no—
470C22⋊Q8×C53—21no—
471C22⋊Q8×C53C2311yescharacteristic
472C22⋊Q8×C53C2311yescharacteristic
473C22⋊Q8×C53C2311yescharacteristic
474C22⋊Q8×C53C2311yescharacteristic
475C2×C4⋊C4×C53—21no—
476C2×C4⋊C4×C53C2311yescharacteristic
477C2×C22⋊C4×C53—21no—
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#103×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489C22⋊C8×C53C2311yescharacteristic
490C24×C53—21no—
491C24×C53C2×D411yescharacteristic
492C23×D53—21no—
493C23×D53C2×D411yescharacteristic
494#41×C53—22no—
495#41×C53—22no—
496#41×C53—22no—
497#41×C53—22no—
498#41×C53—41no—
499#41×C53—41no—
500#41×C53—41no—
501#41×C53—41no—
502#41×C53—44no—
503#41×C53—44no—
504C2×Q8×C53—21no—
505C2×Q8×C53—21no—
506C2×Q8×C53—22no—
507C2×Q8×C53—41no—
508C2×Q8×C53—41no—
509C2×Q8×C53—41no—
510C2×Q8×C53C2411yescharacteristic
511C2×Q8×C53C2411yescharacteristic
512C2×Q8×C53C2411yescharacteristic
513C2×Q8×C53C2411yescharacteristic
514C2×D4×C53—21no—
515C2×D4×C53—22no—
516C2×D4×C53—21no—
517C2×D4×C53—21no—
518C2×D4×C53—21no—
519C2×D4×C53—21no—
520C2×D4×C53—41no—
521C2×D4×C53—44no—
522C2×D4×C53C2411yescharacteristic
523C2×D4×C53C2411yescharacteristic
524C22×C4×C53—21no—
525C22×C4×C53—21no—
526C22×C4×C53—21no—
527C22×C4×C53—21no—
528C22×C4×C53—21no—
529C22×C4×C53—21no—
530C22×C4×C53—21no—
531C22×C4×C53—41no—
532C22×C4×C53—41no—
533C22×C4×C53—44no—
534C22×C4×C53C2×D411yescharacteristic
535C22×C4×C53C2×D411yescharacteristic
536C22×C4×C53C2×D411yescharacteristic
537C22×C4×C53C2411yescharacteristic
538C22×C4×C53C2411yescharacteristic
539C22×C4×C53C2411yescharacteristic
540C2×C22⋊D53—24no—
541C2×C22⋊D53—21no—
542C2×C22⋊D53—21no—
543C2×C22⋊D53—21no—
544C2×C22⋊D53—21no—
545C2×C22⋊D53—21no—
546C2×C22⋊D53—21no—
547C2×C22⋊D53—21no—
548C2×C22⋊D53—21no—
549C2×C22⋊D53—21no—
550C2×C22⋊D53—44no—
551C2×C22⋊D53C2×D411yescharacteristic
552C2×C22⋊D53C2×D411yescharacteristic
553C2×C22⋊D53C2×D411yescharacteristic
554C2×C22⋊D53C2×D411yescharacteristic
555C22×Dic53—21no—
556C22×Dic53—21no—
557C22×Dic53—21no—
558C22×Dic53—21no—
559C22×Dic53—21no—
560C22×Dic53C2×D411yescharacteristic
561C22×Dic53C2×D411yescharacteristic
562C22×Dic53C2×D411yescharacteristic
563#11719949—22no—
564#11719949—41no—
565Q8×D53—22no—
566Q8×D53—41no—
567Q8×D53—41no—
568Q8×D53—41no—
569Q8×D53—41no—
570Q8×D53—41no—
571#11719947—22no—
572#11719947—41no—
573#11719947—44no—
574D4×D53—22no—
575D4×D53—41no—
576D4×D53—44no—
577#11719945—41no—
578#11719945—41no—
579#11719945—44no—
580C2×D212—21no—
581C2×D212C2411yescharacteristic
582C2×C4×D53—21no—
583C2×C4×D53—21no—
584C2×C4×D53—21no—
585C2×C4×D53—21no—
586C2×C4×D53—21no—
587C2×C4×D53—21no—
588C2×C4×D53—21no—
589C2×C4×D53—41no—
590C2×C4×D53—41no—
591C2×C4×D53—44no—
592C2×C4×D53C2×D411yescharacteristic
593C2×C4×D53C2×D411yescharacteristic
594C2×C4×D53C2411yescharacteristic
595C2×C4×D53C2411yescharacteristic
596C2×Dic106—21no—
597C2×Dic106—21no—
598C2×Dic106—21no—
599C2×Dic106—21no—
600C2×Dic106—21no—
601C2×Dic106—21no—
602C2×Dic106—41no—
603C2×Dic106—41no—
604C2×Dic106C2411yescharacteristic
605C2×Dic106C2411yescharacteristic
606C2×Dic106C2411yescharacteristic
607Q16×C53—22no—
608Q16×C53—22no—
609Q16×C53—41no—
610Q16×C53—41no—
611SD16×C53—22no—
612SD16×C53—22no—
613SD16×C53—41no—
614SD16×C53—41no—
615M16×C53—41no—
616M16×C53—41no—
617C2×C8×C53C2411yescharacteristic
618C2×C8×C53C2411yescharacteristic
619C2×C8×C53C2411yescharacteristic
620C2×C8×C53C2411yescharacteristic
621C4⋊C4×C53—21no—
622C4⋊C4×C53—21no—
623C4⋊C4×C53—21no—
624C4⋊C4×C53—21no—
625C4⋊C4×C53—21no—
626C4⋊C4×C53C2411yescharacteristic
627C4⋊C4×C53C2411yescharacteristic
628C22⋊C4×C53—21no—
629C22⋊C4×C53—21no—
630C22⋊C4×C53—21no—
631C22⋊C4×C53—21no—
632C22⋊Dic53—21no—
633C22⋊Dic53—21no—
634C22⋊Dic53—21no—
635C22⋊Dic53—21no—
636C22⋊Dic53—21no—
637C22⋊Dic53—21no—
638C22⋊Dic53—21no—
639C22⋊Dic53—21no—
640C22⋊Dic53—21no—
641C22⋊Dic53—21no—
642C22⋊Dic53—21no—
643C22⋊Dic53—21no—
644C22⋊Dic53—21no—
645C22⋊Dic53C2×D411yescharacteristic
646C22⋊Dic53C2×D411yescharacteristic
647C22⋊Dic53C2×D411yescharacteristic
648C22⋊Dic53C2×D411yescharacteristic
649#11719925—22no—
650#11719925—22no—
651#11719925—41no—
652#11719925—41no—
653#11719925—41no—
654#11719925—41no—
655#11719924—41no—
656#11719924—41no—
657#11719923—22no—
658#11719923—22no—
659#11719923—41no—
660#11719923—41no—
661#11719921—21no—
662#11719921—21no—
663#11719921—21no—
664#11719921—21no—
665#11719921—21no—
666#11719921—21no—
667#11719921—21no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921C2×D411yescharacteristic
672#11719921C2×D411yescharacteristic
673#11719921C2×D411yescharacteristic
674#11719921C2×D411yescharacteristic
675C4⋊Dic53—21no—
676C4⋊Dic53—21no—
677C4⋊Dic53—21no—
678C4⋊Dic53—21no—
679C4⋊Dic53—21no—
680C4⋊Dic53—21no—
681C4⋊Dic53—21no—
682C4⋊Dic53C2411yescharacteristic
683C4⋊Dic53C2411yescharacteristic
684C4⋊Dic53C2411yescharacteristic
685C4⋊Dic53C2411yescharacteristic
686#11719919—21no—
687#11719919—21no—
688#11719919—21no—
689#11719919—21no—
690#11719919—21no—
691#11719919—21no—
692#11719919—21no—
693#11719919—21no—
694#11719919—21no—
695#11719919—21no—
696#11719919—21no—
697#11719919—21no—
698#11719919—21no—
699#11719919—21no—
700#11719919—21no—
701#11719919—21no—
702#11719919—21no—
703#11719919—21no—
704#11719919—21no—
705#11719919—21no—
706#11719919—21no—
707#11719919—21no—
708#11719919C2×D411yescharacteristic
709#11719919C2×D411yescharacteristic
710#11719919C2×D411yescharacteristic
711#11719919C2×D411yescharacteristic
712C4×Dic53—21no—
713C4×Dic53—21no—
714C4×Dic53—21no—
715C4×Dic53—21no—
716C4×Dic53—21no—
717C4×Dic53—21no—
718C4×Dic53—21no—
719C4×Dic53C2×D411yescharacteristic
720C4×Dic53C2×D411yescharacteristic
721C4×Dic53C2411yescharacteristic
722C4×Dic53C2411yescharacteristic
723C2×#88322—41no—
724C2×#88322—41no—
725C2×#88322C2411yescharacteristic
726C2×#88322C2411yescharacteristic
727C2×#88322C2411yescharacteristic
728C2×#88322C2411yescharacteristic
729Dic212—41no—
730Dic212—41no—
731#11719913—41no—
732#11719913—41no—
733#11719912—41no—
734#11719912—41no—
735C8×D53—41no—
736C8×D53—41no—
737C23×C53—21no—
738C23×C53—22no—
739C23×C53—21no—
740C23×C53—41no—
741C23×C53—41no—
742C23×C53—42no—
743C23×C53—42no—
744C23×C53—81no—
745C23×C53C22×D411yescharacteristic
746C23×C53C22×D411yescharacteristic
747C23×C53C22×D411yescharacteristic
748C22×D53—22no—
749C22×D53—21no—
750C22×D53—41no—
751C22×D53—41no—
752C22×D53—42no—
753C22×D53—42no—
754C22×D53—81no—
755C22×D53C22×D411yescharacteristic
756C22×D53C22×D411yescharacteristic
757Q8×C53—21no—
758Q8×C53—21no—
759Q8×C53—21no—
760Q8×C53—21no—
761Q8×C53—21no—
762Q8×C53—21no—
763Q8×C53—21no—
764Q8×C53—42no—
765Q8×C53—81no—
766Q8×C53H(5,𝔽2)12yes—
767D4×C53—24no—
768D4×C53—21no—
769D4×C53—21no—
770D4×C53—21no—
771D4×C53—42no—
772D4×C53—42no—
773D4×C53—42no—
774D4×C53—42no—
775D4×C53H(5,𝔽2)12yes—
776C2×C4×C53—24no—
777C2×C4×C53—21no—
778C2×C4×C53—21no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—21no—
782C2×C4×C53—21no—
783C2×C4×C53—21no—
784C2×C4×C53—21no—
785C2×C4×C53—21no—
786C2×C4×C53—21no—
787C2×C4×C53—21no—
788C2×C4×C53—21no—
789C2×C4×C53—41no—
790C2×C4×C53—41no—
791C2×C4×C53—41no—
792C2×C4×C53—42no—
793C2×C4×C53—42no—
794C2×C4×C53—42no—
795C2×C4×C53—42no—
796C2×C4×C53—81no—
797C2×C4×C53—81no—
798C2×C4×C53C22×D411yescharacteristic
799C2×C4×C53C22×D411yescharacteristic
800C2×C4×C53C22×D411yescharacteristic
801C2×C4×C53C2511yescharacteristic
802C22⋊D53—22no—
803C22⋊D53—22no—
804C22⋊D53—22no—
805C22⋊D53—42no—
806C22⋊D53—42no—
807C22⋊D53—42no—
808C22⋊D53—42no—
809C22⋊D53—42no—
810C22⋊D53—42no—
811C22⋊D53—81no—
812C22⋊D53—81no—
813C22⋊D53—81no—
814C22⋊D53#13714yescomplemented
815C2×Dic53—22no—
816C2×Dic53—21no—
817C2×Dic53—21no—
818C2×Dic53—21no—
819C2×Dic53—21no—
820C2×Dic53—21no—
821C2×Dic53—21no—
822C2×Dic53—21no—
823C2×Dic53—41no—
824C2×Dic53—41no—
825C2×Dic53—42no—
826C2×Dic53—42no—
827C2×Dic53—81no—
828C2×Dic53—81no—
829C2×Dic53—81no—
830C2×Dic53C22×D411yescharacteristic
831C2×Dic53C22×D411yescharacteristic
832C2×Dic53C22×D411yescharacteristic
833C2×Dic53C22×D411yescharacteristic
834C2×Dic53C22×D411yescharacteristic
835C2×Dic53C22×D411yescharacteristic
836D212—21no—
837D212—21no—
838D212—42no—
839C4×D53—21no—
840C4×D53—21no—
841C4×D53—21no—
842C4×D53—21no—
843C4×D53—41no—
844C4×D53—41no—
845C4×D53—42no—
846C4×D53—42no—
847C4×D53—42no—
848C4×D53—81no—
849C4×D53—81no—
850C4×D53—81no—
851C4×D53—81no—
852Dic106—21no—
853Dic106—21no—
854Dic106—21no—
855Dic106—21no—
856Dic106—21no—
857Dic106—21no—
858Dic106—42no—
859Dic106—81no—
860Dic106—81no—
861Dic106—81no—
862Dic106—81no—
863Dic106—81no—
864C8×C53—21no—
865C8×C53—21no—
866C8×C53—21no—
867C8×C53—21no—
868#88322—21no—
869#88322—21no—
870#88322—21no—
871#88322—21no—
872#61607—531nomaximal, Sylow
873C22×C53—21no—
874C22×C53—21no—
875C22×C53—21no—
876C22×C53—21no—
877C22×C53—21no—
878C22×C53—22no—
879C22×C53—21no—
880C22×C53—21no—
881C22×C53—21no—
882C22×C53—41no—
883C22×C53—41no—
884C22×C53—41no—
885C22×C53—41no—
886C22×C53—41no—
887C22×C53—82no—
888C22×C53—84no—
889C22×C53C2×#13712yes—
890C22×C53C23×D411yescharacteristic
891C2×D53—21no—
892C2×D53—21no—
893C2×D53—21no—
894C2×D53—21no—
895C2×D53—21no—
896C2×D53—41no—
897C2×D53—41no—
898C2×D53—41no—
899C2×D53—82no—
900C2×D53—84no—
901C2×D53C2×#13712yes—
902C4×C53—22no—
903C4×C53—21no—
904C4×C53—21no—
905C4×C53—21no—
906C4×C53—41no—
907C4×C53—41no—
908C4×C53—41no—
909C4×C53—41no—
910C4×C53—41no—
911C4×C53C2×H(5,𝔽2)11yescharacteristic
912C4×C53C2×H(5,𝔽2)11yescharacteristic
913Dic53—21no—
914Dic53—21no—
915Dic53—21no—
916Dic53—21no—
917Dic53—21no—
918Dic53—41no—
919Dic53—41no—
920Dic53—41no—
921Dic53—41no—
922Dic53—41no—
923Dic53—41no—
924Dic53—41no—
925Dic53C2×#13712yes—
926#3501—531no—
927D4×#41—531no—
928#3333—531no—
929#3331—531no—
930#3316—531no—
931#3316—531no—
932#3314—531no—
933#3314—531no—
934#3299—531no—
935#3295—531no—
936D4×Q16—531no—
937D4×SD16—531no—
938#3278—531no—
939#3276—531no—
940#3270—531no—
941#3270—531no—
942#3266—531no—
943#3266—531no—
944#3216—531no—
945#3210—531no—
946#3196—531no—
947#3196—531no—
948#3190—531no—
949#3190—531no—
950#3116—531no—
951#3107—531no—
952#3007—531no—
953#3007D5311yescharacteristic, complemented
954C2×#452—531no—
955C2×#452—531no—
956#2974—531no—
957C2×C53—22no—
958C2×C53—41no—
959C2×C53—42no—
960C2×C53—41no—
961C2×C53—81no—
962C2×C53#348411yescharacteristic
963C2×C53C22×#13711yescharacteristic
964C2×C53#358411yescharacteristic
965D53—22no—
966D53—41no—
967D53—81no—
968C22×#41—531no—
969C22×#41C2×D5311yescharacteristic
970C2×#137—531no—
971C2×#137—531no—
972C2×#137C2×D5311yescharacteristic, complemented
973C2×#137C2×D5311yescharacteristic, complemented
974C22×Q16—531no—
975C22×Q16—531no—
976C22×SD16—531no—
977C22×SD16—531no—
978#554—531no—
979#554—531no—
980#554—531no—
981#554—531no—
982#554—1061no—
983#554—1061no—
984#554—1061no—
985#554—1061no—
986#550—531no—
987D4×Q8—531no—
988D4×Q8—531no—
989D4×Q8—531no—
990D4×Q8—531no—
991D4×Q8—531no—
992#548—531no—
993#548—531no—
994#547—531no—
995#547—1061no—
996#546—531no—
997#546—531no—
998#546—1061no—
999#546—1061no—
1000D42—531no—
1001D42—1061no—
1002#544—1061no—
1003#543—1061no—
1004#543—1061no—
1005#533—531no—
1006#533—531no—
1007#532—531no—
1008#532—1061no—
1009#525—531no—
1010#525—531no—
1011#525—1061no—
1012#525—1061no—
1013C2×C22⋊Q8—531no—
1014C2×C22⋊Q8—531no—
1015C2×C22⋊Q8—531no—
1016C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1017#518—1061no—
1018C4×#41—531no—
1019C2×C4×D4—531no—
1020C2×C4×D4—1061no—
1021#497—531no—
1022#497—531no—
1023#494—531no—
1024#492—531no—
1025#489—531no—
1026#489—531no—
1027#487—531no—
1028#486—531no—
1029#485—531no—
1030#485—531no—
1031#485—531no—
1032#485—531no—
1033#484—531no—
1034#484—531no—
1035#483—531no—
1036#483—531no—
1037#481—531no—
1038#481—531no—
1039#480—531no—
1040#480—531no—
1041#477—531no—
1042#476—531no—
1043#475—531no—
1044#474—531no—
1045#470—531no—
1046#470—531no—
1047#470—531no—
1048#470—531no—
1049#468—531no—
1050#468—531no—
1051#468—531no—
1052#468—531no—
1053#467—531no—
1054#467—531no—
1055#467—531no—
1056#467—531no—
1057#465—531no—
1058#465—531no—
1059#465—531no—
1060#465—531no—
1061#464—531no—
1062#464—531no—
1063#464—531no—
1064#464—531no—
1065#462—531no—
1066#462—531no—
1067#462—531no—
1068#462—531no—
1069#461—531no—
1070#461—531no—
1071#460—531no—
1072#460—531no—
1073#452—531no—
1074#452—531no—
1075#452—531no—
1076#452—531no—
1077#452—531no—
1078#452—531no—
1079#452—531no—
1080#452—531no—
1081#452—531no—
1082#452—531no—
1083#452—531no—
1084#452—531no—
1085#452—531no—
1086#452—531no—
1087#452—531no—
1088#452—531no—
1089#452C2×D5311yescharacteristic
1090#452C2×D5311yescharacteristic
1091#452C2×D5311yescharacteristic, complemented
1092#452C2×D5311yescharacteristic, complemented
1093#451—531no—
1094#451—531no—
1095#451—531no—
1096#451—531no—
1097#451—531no—
1098#451—531no—
1099#451C2×D5311yescharacteristic, complemented
1100#451C2×D5311yescharacteristic, complemented
1101#450—531no—
1102#450—531no—
1103#450C2×D5311yescharacteristic, complemented
1104#450C2×D5311yescharacteristic, complemented
1105#448—531no—
1106#448—531no—
1107#448—531no—
1108#448—531no—
1109#441—531no—
1110#441—531no—
1111#440—531no—
1112#440—531no—
1113C4×Q16—531no—
1114C4×Q16—531no—
1115C4×SD16—531no—
1116C4×SD16—531no—
1117#436—531no—
1118#436—531no—
1119#435—531no—
1120#435—531no—
1121#435—531no—
1122#435—531no—
1123C8×D4—531no—
1124C8×D4—531no—
1125#432—531no—
1126#431—531no—
1127#417—531no—
1128#417—531no—
1129#417C2×D5311yescharacteristic, complemented
1130#417C2×D5311yescharacteristic, complemented
1131C2×#103—531no—
1132C2×#103—531no—
1133C2×#102—531no—
1134C2×#102—531no—
1135#407—531no—
1136#407C2×D5311yescharacteristic, complemented
1137C2×C22⋊C8—531no—
1138C2×C22⋊C8—531no—
1139C53#6160711yescharacteristic, complemented, Sylow
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—42no—
1143C2×#41—42no—
1144C2×#41—531no—
1145C2×#41—531no—
1146C2×#41—531no—
1147C2×#41—1061no—
1148C2×#41—1061no—
1149C2×#41—2122no—
1150C2×#41—2122no—
1151C2×#41C22×D5311yescharacteristic
1152C2×#41C22×D5311yescharacteristic
1153C2×#41C22×D5311yescharacteristic
1154C2×#41C22×D5311yescharacteristic
1155C22×Q8—531no—
1156C22×Q8—531no—
1157C22×Q8—531no—
1158C22×Q8—531no—
1159C22×Q8C22×D5311yescharacteristic
1160C22×Q8C22×D5311yescharacteristic
1161C22×D4—21no—
1162C22×D4—531no—
1163C22×D4—531no—
1164C22×D4—1061no—
1165C22×D4—1061no—
1166C22×D4C22×D5311yescharacteristic
1167C23×C4—21no—
1168C23×C4—531no—
1169C23×C4—1061no—
1170C23×C4C22×D5311yescharacteristic
1171#137—42no—
1172#137—42no—
1173#137—2122no—
1174#137—2122no—
1175C2×Q16—531no—
1176C2×Q16—531no—
1177C2×Q16—531no—
1178C2×Q16—531no—
1179C2×Q16—531no—
1180C2×Q16—531no—
1181C2×Q16—531no—
1182C2×Q16—531no—
1183C2×Q16—2122no—
1184C2×Q16—2122no—
1185C2×Q16C22×D5311yescharacteristic
1186C2×Q16C22×D5311yescharacteristic
1187C2×Q16C22×D5311yescharacteristic
1188C2×Q16C22×D5311yescharacteristic
1189C2×SD16—531no—
1190C2×SD16—531no—
1191C2×SD16—531no—
1192C2×SD16—531no—
1193C2×SD16—531no—
1194C2×SD16—531no—
1195C2×SD16—531no—
1196C2×SD16—531no—
1197C2×SD16—2122no—
1198C2×SD16—2122no—
1199C2×SD16C22×D5311yescharacteristic
1200C2×SD16C22×D5311yescharacteristic
1201C2×SD16C22×D5311yescharacteristic
1202C2×SD16C22×D5311yescharacteristic
1203C2×M16—531no—
1204C2×M16—531no—
1205C2×M16C22×D5311yescharacteristic
1206C2×M16C22×D5311yescharacteristic
1207C22×C8—531no—
1208C22×C8—531no—
1209C22×C8—531no—
1210C22×C8—531no—
1211C4⋊Q8—531no—
1212C4⋊Q8—531no—
1213C4⋊Q8—531no—
1214C4⋊Q8—531no—
1215C4⋊Q8—531no—
1216C4⋊Q8—1061no—
1217C4⋊Q8—1061no—
1218C4⋊Q8—1061no—
1219C4⋊Q8—1061no—
1220C4⋊Q8—1061no—
1221#127—531no—
1222#127—1061no—
1223#125—1061no—
1224#125—1061no—
1225#125—1061no—
1226#125—1061no—
1227#125—1061no—
1228#125—1061no—
1229#124—531no—
1230#124—531no—
1231#124—1061no—
1232#124—1061no—
1233#123—1061no—
1234#123—1061no—
1235#123—1061no—
1236#123—1061no—
1237#123—1061no—
1238#123—1061no—
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—531no—
1242C22⋊Q8—531no—
1243C22⋊Q8—531no—
1244C22⋊Q8—531no—
1245C22⋊Q8—531no—
1246C22⋊Q8—531no—
1247C22⋊Q8—531no—
1248C22⋊Q8—531no—
1249C22⋊Q8—531no—
1250C22⋊Q8—531no—
1251C22⋊Q8—531no—
1252C22⋊Q8—531no—
1253C22⋊Q8—1061no—
1254C22⋊Q8—1061no—
1255C22⋊Q8—1061no—
1256C22⋊Q8—1061no—
1257C22⋊Q8—1061no—
1258C22⋊Q8—1061no—
1259C22⋊Q8—1061no—
1260C22⋊Q8—1061no—
1261C22⋊Q8—1061no—
1262C22⋊Q8—1061no—
1263C22⋊Q8—1061no—
1264C22⋊Q8—1061no—
1265C22⋊Q8—1061no—
1266C22⋊Q8—1061no—
1267C22⋊Q8—1061no—
1268C22⋊Q8—1061no—
1269C22⋊Q8—1061no—
1270C22⋊Q8—1061no—
1271C22⋊Q8—1061no—
1272C22⋊Q8—1061no—
1273C22⋊Q8—1061no—
1274C22⋊Q8—1061no—
1275C22⋊Q8—1061no—
1276C22⋊Q8—1061no—
1277C22⋊Q8—1061no—
1278C22⋊Q8—1061no—
1279C22⋊Q8—1061no—
1280C22⋊Q8—1061no—
1281C22⋊Q8C22×D5311yescharacteristic
1282C22⋊Q8C22×D5311yescharacteristic
1283C22⋊Q8C22×D5311yescharacteristic
1284C22⋊Q8C22×D5311yescharacteristic
1285#121—531no—
1286#121—531no—
1287#121—531no—
1288#121—531no—
1289#121—1061no—
1290#121—1061no—
1291#121—1061no—
1292#121—1061no—
1293#121—1061no—
1294#121—1061no—
1295#121—1061no—
1296#121—1061no—
1297#121—1061no—
1298#121—1061no—
1299#120—1061no—
1300#120—1061no—
1301#120—1061no—
1302#120—1061no—
1303#120—1061no—
1304#120—1061no—
1305C4×Q8—531no—
1306C4×Q8—531no—
1307C4×Q8—531no—
1308C4×Q8—531no—
1309C4×Q8—531no—
1310C4×Q8—531no—
1311C4×Q8—1061no—
1312C4×Q8—1061no—
1313C4×D4—531no—
1314C4×D4—531no—
1315C4×D4—531no—
1316C4×D4—531no—
1317C4×D4—531no—
1318C4×D4—531no—
1319C4×D4—531no—
1320C4×D4—531no—
1321C4×D4—531no—
1322C4×D4—531no—
1323C4×D4—1061no—
1324C4×D4—1061no—
1325C4×D4—1061no—
1326C4×D4—1061no—
1327C4×D4—1061no—
1328C4×D4—1061no—
1329C4×D4—1061no—
1330C4×D4—1061no—
1331C4×D4—1061no—
1332C4×D4—1061no—
1333C4×D4—1061no—
1334C4×D4—1061no—
1335C4×D4—1061no—
1336C4×D4—1061no—
1337C4×D4—1061no—
1338C4×D4—1061no—
1339C4×D4—1061no—
1340C4×D4—1061no—
1341C4×D4—1061no—
1342C4×D4—1061no—
1343#117—531no—
1344#117—1061no—
1345#117—1061no—
1346#117—1061no—
1347C2×C4⋊C4—21no—
1348C2×C4⋊C4—531no—
1349C2×C4⋊C4—531no—
1350C2×C4⋊C4—531no—
1351C2×C4⋊C4—531no—
1352C2×C4⋊C4—1061no—
1353C2×C4⋊C4—1061no—
1354C2×C4⋊C4—1061no—
1355C2×C4⋊C4—1061no—
1356C2×C4⋊C4C22×D5311yescharacteristic
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—531no—
1359C2×C22⋊C4—531no—
1360C2×C22⋊C4—1061no—
1361C2×C22⋊C4—1061no—
1362C2×C22⋊C4—1061no—
1363C2×C22⋊C4—1061no—
1364C2×C22⋊C4—1061no—
1365C2×C42—531no—
1366C2×C42—1061no—
1367#107—531no—
1368#107—531no—
1369#107—531no—
1370#107—531no—
1371#106—531no—
1372#106—531no—
1373#106—531no—
1374#106—531no—
1375C4⋊C8—531no—
1376C4⋊C8—531no—
1377C4⋊C8—531no—
1378C4⋊C8—531no—
1379#103—531no—
1380#103—531no—
1381#103—531no—
1382#103—531no—
1383#103—531no—
1384#103—531no—
1385#103—531no—
1386#103—531no—
1387#103—531no—
1388#103—531no—
1389#103—531no—
1390#103—531no—
1391#103—531no—
1392#103—531no—
1393#103—531no—
1394#103—531no—
1395#103C22×D5311yescharacteristic
1396#103C22×D5311yescharacteristic
1397#103C22×D5311yescharacteristic
1398#103C22×D5311yescharacteristic
1399#102—531no—
1400#102—531no—
1401#102—531no—
1402#102—531no—
1403#102—531no—
1404#102—531no—
1405#102—531no—
1406#102—531no—
1407#102C22×D5311yescharacteristic
1408#102C22×D5311yescharacteristic
1409#102C22×D5311yescharacteristic
1410#102C22×D5311yescharacteristic
1411C22⋊C8—531no—
1412C22⋊C8—531no—
1413C22⋊C8—531no—
1414C22⋊C8—531no—
1415C22⋊C8—531no—
1416C22⋊C8—531no—
1417C22⋊C8—531no—
1418C22⋊C8—531no—
1419C22⋊C8C22×D5311yescharacteristic
1420C22⋊C8C22×D5311yescharacteristic
1421C22⋊C8C22×D5311yescharacteristic
1422C22⋊C8C22×D5311yescharacteristic
1423#97—531no—
1424#97—531no—
1425C4×C8—531no—
1426C4×C8—531no—
1427C24—21no—
1428C24—531no—
1429C24—1061no—
1430C24D4×D5311yescharacteristic
1431#41—22no—
1432#41—22no—
1433#41—22no—
1434#41—22no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—44no—
1440#41—44no—
1441#41—1062no—
1442#41—1062no—
1443#41—2121no—
1444#41—2121no—
1445#41—2124no—
1446#41—2121no—
1447#41—2121no—
1448#41—2124no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—531no—
1456C2×Q8—531no—
1457C2×Q8—531no—
1458C2×Q8—1061no—
1459C2×Q8—1061no—
1460C2×Q8—1061no—
1461C2×Q8—1061no—
1462C2×Q8—1061no—
1463C2×Q8—1061no—
1464C2×Q8—1062no—
1465C2×Q8—2121no—
1466C2×Q8—2121no—
1467C2×Q8—2121no—
1468C2×Q8—2121no—
1469C2×Q8—2121no—
1470C2×Q8—2121no—
1471C2×Q8—2121no—
1472C2×Q8C23×D5311yescharacteristic
1473C2×Q8C23×D5311yescharacteristic
1474C2×Q8C23×D5311yescharacteristic
1475C2×Q8C23×D5311yescharacteristic
1476C2×D4—21no—
1477C2×D4—22no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—41no—
1483C2×D4—44no—
1484C2×D4—531no—
1485C2×D4—531no—
1486C2×D4—531no—
1487C2×D4—531no—
1488C2×D4—531no—
1489C2×D4—1061no—
1490C2×D4—1061no—
1491C2×D4—1061no—
1492C2×D4—1061no—
1493C2×D4—1064no—
1494C2×D4—1062no—
1495C2×D4—1061no—
1496C2×D4—1061no—
1497C2×D4—1061no—
1498C2×D4—1061no—
1499C2×D4—1061no—
1500C2×D4—1061no—
1501C2×D4—2121no—
1502C2×D4—2124no—
1503C2×D4—2124no—
1504C2×D4C23×D5311yescharacteristic
1505C2×D4C23×D5311yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—44no—
1516C22×C4—531no—
1517C22×C4—531no—
1518C22×C4—531no—
1519C22×C4—531no—
1520C22×C4—531no—
1521C22×C4—531no—
1522C22×C4—531no—
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—2121no—
1536C22×C4—2121no—
1537C22×C4—2124no—
1538C22×C4D4×D5311yescharacteristic
1539C22×C4D4×D5311yescharacteristic
1540C22×C4D4×D5311yescharacteristic
1541C22×C4C23×D5311yescharacteristic
1542C22×C4C23×D5311yescharacteristic
1543C22×C4C23×D5311yescharacteristic
1544Q16—22no—
1545Q16—22no—
1546Q16—41no—
1547Q16—41no—
1548Q16—1062no—
1549Q16—1062no—
1550Q16—2121no—
1551Q16—2121no—
1552Q16—2121no—
1553Q16—2121no—
1554Q16—2121no—
1555Q16—2121no—
1556SD16—22no—
1557SD16—22no—
1558SD16—41no—
1559SD16—41no—
1560SD16—1062no—
1561SD16—1062no—
1562SD16—2121no—
1563SD16—2121no—
1564SD16—2121no—
1565SD16—2121no—
1566SD16—2121no—
1567SD16—2121no—
1568M16—41no—
1569M16—41no—
1570M16—2121no—
1571M16—2121no—
1572C2×C8—531no—
1573C2×C8—531no—
1574C2×C8—531no—
1575C2×C8—531no—
1576C2×C8—2121no—
1577C2×C8—2121no—
1578C2×C8—2121no—
1579C2×C8—2121no—
1580C2×C8C23×D5311yescharacteristic
1581C2×C8C23×D5311yescharacteristic
1582C2×C8C23×D5311yescharacteristic
1583C2×C8C23×D5311yescharacteristic
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—531no—
1590C4⋊C4—531no—
1591C4⋊C4—531no—
1592C4⋊C4—531no—
1593C4⋊C4—531no—
1594C4⋊C4—531no—
1595C4⋊C4—531no—
1596C4⋊C4—531no—
1597C4⋊C4—1061no—
1598C4⋊C4—1061no—
1599C4⋊C4—1061no—
1600C4⋊C4—1061no—
1601C4⋊C4—1061no—
1602C4⋊C4—1061no—
1603C4⋊C4—1061no—
1604C4⋊C4—1061no—
1605C4⋊C4—1061no—
1606C4⋊C4—1061no—
1607C4⋊C4—1061no—
1608C4⋊C4—1061no—
1609C4⋊C4—1061no—
1610C4⋊C4—1061no—
1611C4⋊C4—1061no—
1612C4⋊C4—1061no—
1613C4⋊C4—1061no—
1614C4⋊C4—1061no—
1615C4⋊C4—1061no—
1616C4⋊C4—1061no—
1617C4⋊C4—1061no—
1618C4⋊C4—1061no—
1619C4⋊C4—1061no—
1620C4⋊C4—1061no—
1621C4⋊C4—1061no—
1622C4⋊C4—1061no—
1623C4⋊C4—1061no—
1624C4⋊C4—1061no—
1625C4⋊C4—1061no—
1626C4⋊C4C23×D5311yescharacteristic
1627C4⋊C4C23×D5311yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—531no—
1633C22⋊C4—531no—
1634C22⋊C4—531no—
1635C22⋊C4—531no—
1636C22⋊C4—531no—
1637C22⋊C4—531no—
1638C22⋊C4—531no—
1639C22⋊C4—531no—
1640C22⋊C4—1061no—
1641C22⋊C4—1061no—
1642C22⋊C4—1061no—
1643C22⋊C4—1061no—
1644C22⋊C4—1061no—
1645C22⋊C4—1061no—
1646C22⋊C4—1061no—
1647C22⋊C4—1061no—
1648C22⋊C4—1061no—
1649C22⋊C4—1061no—
1650C22⋊C4—1061no—
1651C22⋊C4—1061no—
1652C22⋊C4—1061no—
1653C22⋊C4—1061no—
1654C22⋊C4—1061no—
1655C22⋊C4—1061no—
1656C22⋊C4—1061no—
1657C22⋊C4—1061no—
1658C22⋊C4—1061no—
1659C22⋊C4—1061no—
1660C22⋊C4—1061no—
1661C22⋊C4—1061no—
1662C22⋊C4—1061no—
1663C42—531no—
1664C42—531no—
1665C42—531no—
1666C42—531no—
1667C42—1061no—
1668C42—1061no—
1669C42—1061no—
1670C42—1061no—
1671C42—1061no—
1672C42—1061no—
1673C42—1061no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—41no—
1678C23—41no—
1679C23—42no—
1680C23—42no—
1681C23—81no—
1682C23—531no—
1683C23—531no—
1684C23—1062no—
1685C23—1061no—
1686C23—4241no—
1687C23—2121no—
1688C23—2121no—
1689C23—2122no—
1690C23—2122no—
1691C23C2×D4×D5311yescharacteristic
1692C23C2×D4×D5311yescharacteristic
1693C23C2×D4×D5311yescharacteristic
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—42no—
1702Q8—81no—
1703Q8—1061no—
1704Q8—1061no—
1705Q8—1061no—
1706Q8—1061no—
1707Q8—1061no—
1708Q8—1061no—
1709Q8—4241no—
1710Q8—4241no—
1711Q8—4241no—
1712Q8—4241no—
1713Q8—4241no—
1714Q8—2122no—
1715Q8#1313326212yes—
1716D4—24no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—534no—
1725D4—1062no—
1726D4—1062no—
1727D4—1062no—
1728D4—1061no—
1729D4—1061no—
1730D4—4241no—
1731D4—4241no—
1732D4—4241no—
1733D4—2122no—
1734D4—2122no—
1735D4—2122no—
1736D4—2122no—
1737D4—2122no—
1738D4—2122no—
1739D4—2122no—
1740D4#1313326212yes—
1741C2×C4—24no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—531no—
1764C2×C4—531no—
1765C2×C4—531no—
1766C2×C4—531no—
1767C2×C4—531no—
1768C2×C4—531no—
1769C2×C4—1062no—
1770C2×C4—1061no—
1771C2×C4—1061no—
1772C2×C4—1061no—
1773C2×C4—1061no—
1774C2×C4—1061no—
1775C2×C4—1061no—
1776C2×C4—1061no—
1777C2×C4—1061no—
1778C2×C4—1061no—
1779C2×C4—1061no—
1780C2×C4—1061no—
1781C2×C4—4241no—
1782C2×C4—4241no—
1783C2×C4—4241no—
1784C2×C4—4241no—
1785C2×C4—4241no—
1786C2×C4—4241no—
1787C2×C4—4241no—
1788C2×C4—2121no—
1789C2×C4—2121no—
1790C2×C4—2122no—
1791C2×C4—2122no—
1792C2×C4—2122no—
1793C2×C4—2122no—
1794C2×C4—2121no—
1795C2×C4—2121no—
1796C2×C4—2122no—
1797C2×C4C2×D4×D5311yescharacteristic
1798C2×C4C2×D4×D5311yescharacteristic
1799C2×C4C2×D4×D5311yescharacteristic
1800C2×C4C24×D5311yescharacteristic
1801C8—21no—
1802C8—21no—
1803C8—21no—
1804C8—21no—
1805C8—1061no—
1806C8—1061no—
1807C8—1061no—
1808C8—1061no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—22no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—82no—
1824C22—84no—
1825C22—532no—
1826C22—1061no—
1827C22—1061no—
1828C22—1061no—
1829C22—1061no—
1830C22—1061no—
1831C22—4244no—
1832C22—4242no—
1833C22—2121no—
1834C22—2121no—
1835C22—2121no—
1836C22#137×D5312yes—
1837C22C22×D4×D5311yescharacteristic
1838C4—21no—
1839C4—22no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—532no—
1848C4—1061no—
1849C4—1061no—
1850C4—1061no—
1851C4—1061no—
1852C4—1061no—
1853C4—2121no—
1854C4—2121no—
1855C4—2121no—
1856C4—2121no—
1857C4—2121no—
1858C4—2121no—
1859C4—2121no—
1860C4C2×#1313326211yescharacteristic
1861C4C2×#1313326211yescharacteristic
1862C2—22no—
1863C2—41no—
1864C2—41no—
1865C2—42no—
1866C2—81no—
1867C2—1062no—
1868C2—4241no—
1869C2—2121no—
1870C2#2028834411yescharacteristic
1871C2C2×#137×D5311yescharacteristic
1872C2#2028948811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3007C2
socleC22×C53C23×D4
prime radical#41×C22⋊D53C2
hypercenter#3007D53
hypocenterC53#61607
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3007

Complements

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

NH ≅ G/Ntype
1. #20288511C2semidirect
3. #20287049C2semidirect
4. #20287027C2semidirect
5. #20286830C2semidirect
6. #20286827C2semidirect
7. #20286800C2semidirect
8. #20286797C2semidirect
9. #20286584C2semidirect
10. #20286532C2semidirect
11. #20286460C2semidirect
12. #20286409C2semidirect
13. #20286375C2semidirect
14. #20286355C2semidirect
15. #20286289C2semidirect
16. #20286279C2semidirect
17. #20286229C2semidirect
18. #20286219C2semidirect
19. #20285723C2semidirect
20. #20285669C2semidirect
21. #20285547C2semidirect
22. #20285543C2semidirect
23. #20285496C2semidirect
24. #20285494C2semidirect
25. #20284870C2semidirect
26. #20284779C2semidirect
27. #20283972C2semidirect
28. C2×#16810785C2semidirect
29. #452×D53C2semidirect
30. #20283751C2semidirect
31. C53×#3007C2semidirect
33. C2×#13133249C22semidirect
34. C2×#13133246C22semidirect
35. C22×#11719925C22semidirect
36. C2×Q16×D53C22semidirect
37. C22×#11719923C22semidirect
38. C2×SD16×D53C22semidirect
40. #16811331C22semidirect
43. #16811328C22semidirect
44. #16811328C22semidirect
49. Q8×C22⋊D53C22semidirect
50. Q8×C22⋊D53C22semidirect
52. #16811286C22semidirect
66. #16811175C22semidirect
67. #16811175C22semidirect
74. C2×#13133196C22semidirect
75. C22⋊Q8×D53C22semidirect
76. C22⋊Q8×D53C22semidirect
81. #16811016C22semidirect
82. #16811014C22semidirect
83. #16811001C22semidirect
84. #16810994C22semidirect
85. #16810984C22semidirect
86. #16810981C22semidirect
87. #16810972C22semidirect
88. #16810968C22semidirect
89. #16810965C22semidirect
90. #16810965C22semidirect
91. #16810961C22semidirect
92. #16810961C22semidirect
93. #16810959C22semidirect
94. #16810957C22semidirect
95. #16810953C22semidirect
96. #16810952C22semidirect
97. #16810942C22semidirect
98. #16810940C22semidirect
99. #16810936C22semidirect
100. #16810935C22semidirect
101. #16810916C22semidirect
102. #16810911C22semidirect
103. #16810906C22semidirect
104. #16810901C22semidirect
105. #16810881C22semidirect
106. #16810881C22semidirect
107. #16810880C22semidirect
108. #16810878C22semidirect
109. #16810869C22semidirect
110. #16810869C22semidirect
111. #16810868C22semidirect
112. #16810866C22semidirect
113. #16810863C22semidirect
114. #16810862C22semidirect
115. #16810862C22semidirect
116. #16810861C22semidirect
117. #16810854C22semidirect
118. #16810854C22semidirect
119. #16810851C22semidirect
120. #16810849C22semidirect
121. #16810848C22semidirect
122. #16810847C22semidirect
123. #16810844C22semidirect
124. #16810843C22semidirect
125. #16810832C22semidirect
126. #16810831C22semidirect
127. #16810831C22semidirect
128. #16810831C22semidirect
129. #16810826C22semidirect
130. #16810826C22semidirect
131. #16810822C22semidirect
132. #16810821C22semidirect
133. #16810788C22semidirect
134. #16810787C22semidirect
135. #16810787C22semidirect
136. #16810786C22semidirect
139. #16810785C22semidirect
140. #16810785C22semidirect
141. #16810785C22semidirect
142. #16810785C22semidirect
143. #16810785C22semidirect
144. #16810785C22semidirect
145. #16810784C22semidirect
146. #16810783C22semidirect
147. #16810783C22semidirect
148. #16810782C22semidirect
149. #16810781C22semidirect
150. #16810780C22semidirect
151. #16810779C22semidirect
152. #16810777C22semidirect
153. #16810777C22semidirect
154. #16810777C22semidirect
155. #16810775C22semidirect
156. #16810772C22semidirect
157. #16810764C22semidirect
158. #16810762C22semidirect
159. #16810760C22semidirect
160. #16810760C22semidirect
161. #16810730C22semidirect
162. #16810727C22semidirect
163. #16810724C22semidirect
164. #16810720C22semidirect
165. Q16×Dic53C22semidirect
166. #16810715C22semidirect
167. #16810714C22semidirect
168. SD16×Dic53C22semidirect
169. #16810699C22semidirect
170. #16810699C22semidirect
171. #16810692C22semidirect
172. #16810692C22semidirect
173. #16810691C22semidirect
174. #16810691C22semidirect
177. #16810677C22semidirect
178. #16810673C22semidirect
179. #16810623C22semidirect
180. #16810621C22semidirect
181. C2×#13133141C22semidirect
182. #103×D53C22semidirect
183. C2×#13133138C22semidirect
184. #102×D53C22semidirect
185. #16810585C22semidirect
186. C2×C22⋊#88322C22semidirect
187. C22⋊C8×D53C22semidirect
189. C2×#137×C53C22semidirect
190. C2×#137×C53C22semidirect
191. C2×C22⋊Q8×C53C22semidirect
194. C53×#452C22semidirect
195. C53×#452C22semidirect
196. C53×#451C22semidirect
197. C53×#451C22semidirect
198. C53×#450C22semidirect
199. C53×#450C22semidirect
200. C53×#417C22semidirect
201. C53×#417C22semidirect
202. C53×#407C22semidirect
814. C22⋊D53#137semidirect
953. #3007D53semidirect
972. C2×#137C2×D53semidirect
973. C2×#137C2×D53semidirect
1016. C2×C22⋊Q8C2×D53semidirect
1091. #452C2×D53semidirect
1092. #452C2×D53semidirect
1099. #451C2×D53semidirect
1100. #451C2×D53semidirect
1103. #450C2×D53semidirect
1104. #450C2×D53semidirect
1129. #417C2×D53semidirect
1130. #417C2×D53semidirect
1136. #407C2×D53semidirect
1139. C53#61607semidirect

Maximal subgroups

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

subgroupindex
#202885112
#41×C22⋊D532
#202870492
#202870272
#202868302
#202868272
#202868002
#202867972
#202865842
#202865322
#202864602
#202864092
#202863752
#202863552
#202862892
#202862792
#202862292
#202862192
#202857232
#202856692
#202855472
#202855432
#202854962
#202854942
#202848702
#202847792
#202839722
C2×#168107852
#452×D532
#202837512
C53×#30072
#6160753