Finite Group Databasebeta

← #28281306

Subgroups — #28281306

Order 13568.

1716 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289367C211yesmaximal, characteristic, complemented
2#20288654C211yesmaximal, characteristic, complemented
3#20287675C211yesmaximal, characteristic, complemented
4#20287586C211yesmaximal, characteristic, complemented
5#20287371C211yesmaximal, characteristic, complemented
6#20287307C211yesmaximal, characteristic, complemented
7#20287280C211yesmaximal, characteristic, complemented
8#20287272C211yesmaximal, characteristic, complemented
9#20287250C211yesmaximal, characteristic, complemented
10#20287160C211yesmaximal, characteristic, complemented
11#20287114C211yesmaximal, characteristic, complemented
12#20286949C211yesmaximal, characteristic, complemented
13#20286938C211yesmaximal, characteristic, complemented
14#20286915C211yesmaximal, characteristic, complemented
15#20286870C211yesmaximal, characteristic, complemented
16#20286855C211yesmaximal, characteristic, complemented
17#20286557C211yesmaximal, characteristic, complemented
18#20286174C211yesmaximal, characteristic, complemented
19#20286124C211yesmaximal, characteristic, complemented
20#20286114C211yesmaximal, characteristic, complemented
21#20286008C211yesmaximal, characteristic, complemented
22#20285963C211yesmaximal, characteristic, complemented
23#20285889C211yesmaximal, characteristic, complemented
24#20284990C211yesmaximal, characteristic, complemented
25#20284903C211yesmaximal, characteristic, complemented
26#20284766C211yesmaximal, characteristic, complemented
27#20284569C211yesmaximal, characteristic, complemented
28#20284541C211yesmaximal, characteristic, complemented
29#20284510C211yesmaximal, characteristic, complemented
30#20283867C211yesmaximal, characteristic, complemented
31C53×#3371C211yesmaximal, characteristic, complemented
32#16811372—21no—
33#16811371—21no—
34#16811346C2211yescharacteristic
35#16811345—21no—
36#16811339C2211yescharacteristic, complemented
37#16811333C2211yescharacteristic
38#16811333C2211yescharacteristic, complemented
39#16811326C2211yescharacteristic
40#16811326C2211yescharacteristic, complemented
41#16811323C2211yescharacteristic
42#16811318—21no—
43#16811314C2211yescharacteristic
44#16811314C2211yescharacteristic, complemented
45#16811314C2211yescharacteristic, complemented
46#16811305—21no—
47#16811303—21no—
48#16811302—21no—
49#16811278C2211yescharacteristic
50#16811266C2211yescharacteristic
51#16811266C2211yescharacteristic
52#16811265—21no—
53#16811258C2211yescharacteristic
54#16811253C2211yescharacteristic, complemented
55#16811250C2211yescharacteristic, complemented
56#16811247—21no—
57#16811245—21no—
58#16811245C2211yescharacteristic, complemented
59#16811245C2211yescharacteristic, complemented
60#16811242C2211yescharacteristic
61#16811232—21no—
62#16811227C2211yescharacteristic
63#16811221—21no—
64#16811216—21no—
65#16811207—21no—
66#16811179C2211yescharacteristic, complemented
67#16811160C2211yescharacteristic
68#16811160C2211yescharacteristic, complemented
69#16811152C2211yescharacteristic
70#16811132—21no—
71#123×D53—21no—
72#16811105C2211yescharacteristic
73#16811095C2211yescharacteristic
74C4×D4×D53C2211yescharacteristic
75#16811032C2211yescharacteristic, complemented
76#16811032C2211yescharacteristic, complemented
77#16811025C2211yescharacteristic, complemented
78#16811022C2211yescharacteristic, complemented
79#16811022C2211yescharacteristic, complemented
80#16811019C2211yescharacteristic, complemented
81#16810977C2211yescharacteristic, complemented
82#16810977C2211yescharacteristic, complemented
83#16810969C2211yescharacteristic
84#16810963C2211yescharacteristic, complemented
85#16810963C2211yescharacteristic, complemented
86#16810962C2211yescharacteristic, complemented
87#16810962C2211yescharacteristic, complemented
88#16810957C2211yescharacteristic, complemented
89#16810952C2211yescharacteristic, complemented
90#16810952C2211yescharacteristic, complemented
91#16810950C2211yescharacteristic, complemented
92#16810946C2211yescharacteristic
93#16810946C2211yescharacteristic, complemented
94#16810945C2211yescharacteristic
95#16810945C2211yescharacteristic
96#16810945C2211yescharacteristic, complemented
97#16810943C2211yescharacteristic, complemented
98#16810943C2211yescharacteristic, complemented
99#16810940C2211yescharacteristic
100#16810940C2211yescharacteristic, complemented
101#16810935C2211yescharacteristic, complemented
102#16810932C2211yescharacteristic, complemented
103#16810930C2211yescharacteristic, complemented
104#16810930C2211yescharacteristic, complemented
105#16810925C2211yescharacteristic, complemented
106#16810924C2211yescharacteristic
107#16810924C2211yescharacteristic
108#16810924C2211yescharacteristic, complemented
109#16810924C2211yescharacteristic, complemented
110#16810923C2211yescharacteristic, complemented
111#16810923C2211yescharacteristic, complemented
112#16810922C2211yescharacteristic
113#16810921C2211yescharacteristic, complemented
114#16810920C2211yescharacteristic
115#16810920C2211yescharacteristic
116#16810918C2211yescharacteristic, complemented
117#16810918C2211yescharacteristic, complemented
118#16810916C2211yescharacteristic, complemented
119#16810912C2211yescharacteristic
120#16810911C2211yescharacteristic, complemented
121#16810911C2211yescharacteristic, complemented
122#16810906C2211yescharacteristic, complemented
123#16810904C2211yescharacteristic
124#16810904C2211yescharacteristic, complemented
125#16810902C2211yescharacteristic
126#16810901C2211yescharacteristic, complemented
127#16810901C2211yescharacteristic, complemented
128#16810900C2211yescharacteristic
129#16810878C2211yescharacteristic, complemented
130#16810875C2211yescharacteristic
131#16810875C2211yescharacteristic, complemented
132#16810872C2211yescharacteristic, complemented
133#16810872C2211yescharacteristic, complemented
134#16810866C2211yescharacteristic
135#16810866C2211yescharacteristic
136#16810866C2211yescharacteristic, complemented
137#16810861C2211yescharacteristic, complemented
138#16810858C2211yescharacteristic
139#16810858C2211yescharacteristic, complemented
140#16810849C2211yescharacteristic, complemented
141#16810847C2211yescharacteristic, complemented
142#16810841C2211yescharacteristic
143#16810840C2211yescharacteristic, complemented
144#16810840C2211yescharacteristic, complemented
145#16810835C2211yescharacteristic, complemented
146#16810835C2211yescharacteristic, complemented
147#16810815C2211yescharacteristic
148#16810784C2211yescharacteristic
149#16810772C2211yescharacteristic
150#16810772C2211yescharacteristic
151#16810771C2211yescharacteristic
152#16810758C2211yescharacteristic
153#16810758C2211yescharacteristic
154Q8×#88322C2211yescharacteristic, complemented
155#16810736C2211yescharacteristic
156#16810736C2211yescharacteristic
157C4×#11719924C2211yescharacteristic
158C4×#11719924C2211yescharacteristic
159C4×#11719924C2211yescharacteristic
160C4×#11719924C2211yescharacteristic, complemented
161C4×D424C2211yescharacteristic
162C4×#11719922C2211yescharacteristic, complemented
163C4×#11719922C2211yescharacteristic, complemented
164#16810702C2211yescharacteristic, complemented
165#16810700C2211yescharacteristic
166#16810700C2211yescharacteristic, complemented
167#16810696C2211yescharacteristic
168#16810696C2211yescharacteristic, complemented
169#16810688C2211yescharacteristic, complemented
170#16810685C2211yescharacteristic, complemented
171#16810685C2211yescharacteristic, complemented
172#16810674C2211yescharacteristic, complemented
173#16810664C2211yescharacteristic, complemented
174#16810662C2211yescharacteristic, complemented
175#16810662C2211yescharacteristic, complemented
176#16810662C2211yescharacteristic, complemented
177#16810658C2211yescharacteristic, complemented
178#107×D53C2211yescharacteristic, complemented
179#16810648C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810645C2211yescharacteristic, complemented
182#16810626C2211yescharacteristic
183#16810626C2211yescharacteristic
184#16810626C2211yescharacteristic
185#16810623C2211yescharacteristic
186#16810618C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#559C2211yescharacteristic
189C53×#557C2211yescharacteristic, complemented
190C53×#490C2211yescharacteristic
191C53×#489C2211yescharacteristic, complemented
192C53×#488C2211yescharacteristic, complemented
193C53×#479C2211yescharacteristic, complemented
194C53×#478C2211yescharacteristic, complemented
195C53×#476C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic, complemented
197C53×#464C2211yescharacteristic, complemented
198C53×#460C2211yescharacteristic
199C53×#446C2211yescharacteristic, complemented
200C53×#441C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic, complemented
202C4×SD16×C53C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×D4×D53—21no—
206C2×D4×D53C2311yescharacteristic
207C2×D4×D53C2311yescharacteristic
208C22×C4×D53—21no—
209C2×#11719924C2311yescharacteristic
210C2×#11719924C2311yescharacteristic
211C2×D424C2311yescharacteristic
212C2×#11719922C2311yescharacteristic
213C2×#11719922C2311yescharacteristic
214C2×#11719912C2311yescharacteristic
215C2×#11719912C2311yescharacteristic
216C2×#11719912C2311yescharacteristic
217C2×#11719912C2311yescharacteristic
218C2×C8×D53C2311yescharacteristic
219C2×C8×D53C2311yescharacteristic
220#13133217C2311yescharacteristic
221#13133217C2311yescharacteristic
222#13133216—21no—
223#13133216C2311yescharacteristic
224#13133216C2311yescharacteristic
225#13133215—21no—
226#13133212—21no—
227#13133212—21no—
228#13133212—21no—
229#13133212—21no—
230#13133212—21no—
231#13133212D411yescharacteristic
232#13133212D411yescharacteristic
233#13133211—21no—
234#13133211—21no—
235#13133211—21no—
236#13133211—21no—
237#13133211—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210—21no—
241#13133209C2311yescharacteristic
242#13133209C2311yescharacteristic
243#13133209C2311yescharacteristic
244#13133209C2311yescharacteristic
245#13133208D411yescharacteristic
246#13133208C2311yescharacteristic
247#13133207—21no—
248#13133207—21no—
249#13133207—21no—
250#13133207—21no—
251#13133207—21no—
252#13133206—21no—
253#13133206—21no—
254#13133206D411yescharacteristic
255#13133206C2311yescharacteristic
256#13133205—21no—
257#13133205—21no—
258#13133205—21no—
259#13133203—21no—
260#13133202—21no—
261#13133202—21no—
262#13133202—21no—
263#13133202—21no—
264#13133202—21no—
265#13133202—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202D411yescharacteristic
269#13133202D411yescharacteristic
270#13133201—21no—
271#13133200—21no—
272#13133199—21no—
273#13133199—21no—
274#13133199—21no—
275#13133199—21no—
276#13133199—21no—
277#13133198—21no—
278#13133198—21no—
279#13133197—21no—
280#13133196—21no—
281#13133195—21no—
282#13133195—21no—
283#13133195—21no—
284#13133195—21no—
285#13133195—21no—
286#13133195—21no—
287#13133195—21no—
288#13133195—21no—
289#13133195—21no—
290#13133195—21no—
291#13133194—21no—
292#13133193—21no—
293#13133193—21no—
294#13133193—21no—
295#13133193D411yescharacteristic
296#13133193C2311yescharacteristic
297#13133193C2311yescharacteristic
298#13133193C2311yescharacteristic
299#13133193C2311yescharacteristic
300#13133193C2311yescharacteristic
301#13133192—21no—
302#13133192—21no—
303#13133192—21no—
304#13133192D411yescharacteristic
305#13133192C2311yescharacteristic
306#13133192C2311yescharacteristic
307#13133192C2311yescharacteristic
308#13133190—21no—
309#13133190—21no—
310#13133190—21no—
311#13133189—21no—
312#13133189—21no—
313#13133188—21no—
314#13133188C2311yescharacteristic
315#13133188C2311yescharacteristic
316#13133188C2311yescharacteristic
317#13133188C2311yescharacteristic
318#13133187—21no—
319#13133187—21no—
320#13133185—21no—
321#13133185—21no—
322Q8×Dic53C2311yescharacteristic
323C4×Dic106—21no—
324#13133182—21no—
325#13133182—21no—
326C4×D212—21no—
327C4×D212—21no—
328C4×D212C2311yescharacteristic
329C4×D212C2311yescharacteristic
330C4×D212C2311yescharacteristic
331C4×D212C2311yescharacteristic
332C4×D212C2311yescharacteristic
333C4×D212C2311yescharacteristic
334C4×D212C2311yescharacteristic
335C4×D212C2311yescharacteristic
336C4×D212C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179—21no—
340#13133179—21no—
341#13133179—21no—
342#13133179C2311yescharacteristic
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346#13133177—21no—
347#13133177—21no—
348#13133177—21no—
349#13133175—21no—
350#13133175C2311yescharacteristic
351#13133175C2311yescharacteristic
352#13133175C2311yescharacteristic
353#13133175C2311yescharacteristic
354#13133175C2311yescharacteristic
355#13133174—21no—
356#13133174—21no—
357#13133174—21no—
358#13133174—21no—
359#13133174—21no—
360#13133174C2311yescharacteristic
361#13133174C2311yescharacteristic
362#13133173—21no—
363C4⋊C4×D53—21no—
364C4⋊C4×D53—21no—
365C4⋊C4×D53—21no—
366C4⋊C4×D53C2311yescharacteristic
367C4⋊C4×D53C2311yescharacteristic
368C4⋊C4×D53C2311yescharacteristic
369C4⋊C4×D53C2311yescharacteristic
370C2×#11719921—21no—
371C22⋊C4×D53—21no—
372C22⋊C4×D53—21no—
373C22⋊C4×D53—21no—
374C22⋊C4×D53—21no—
375C42×D53C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133151C2311yescharacteristic
379#13133151C2311yescharacteristic
380#13133151C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133149C2311yescharacteristic
390#13133149C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397C4⋊#88322C2311yescharacteristic
398C4⋊#88322C2311yescharacteristic
399C4⋊#88322C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133129C2311yescharacteristic
431#13133129C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C4×#88322C2311yescharacteristic
434C4×#88322C2311yescharacteristic
435C2×Q16×C53C2311yescharacteristic
436C2×SD16×C53C2311yescharacteristic
437C2×SD16×C53C2311yescharacteristic
438C4⋊Q8×C53—21no—
439C4⋊Q8×C53C2311yescharacteristic
440#127×C53C2311yescharacteristic
441#125×C53—21no—
442#125×C53—21no—
443#125×C53C2311yescharacteristic
444#125×C53C2311yescharacteristic
445#124×C53—21no—
446#124×C53C2311yescharacteristic
447#124×C53C2311yescharacteristic
448#123×C53—21no—
449#123×C53—21no—
450C4×Q8×C53—21no—
451C4×Q8×C53C2311yescharacteristic
452C4×Q8×C53C2311yescharacteristic
453C4×Q8×C53C2311yescharacteristic
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456C4×D4×C53—21no—
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#106×C53C2311yescharacteristic
461#106×C53C2311yescharacteristic
462C4⋊C8×C53C2311yescharacteristic
463C4⋊C8×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465#103×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#97×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C23×D53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53C2×D411yescharacteristic
482C2×Q8×C53C2411yescharacteristic
483C2×Q8×C53C2411yescharacteristic
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C2×C22⋊D53—21no—
491C2×C22⋊D53—21no—
492C2×C22⋊D53—21no—
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C22×Dic53—21no—
497C22×Dic53—21no—
498#11719949—22no—
499#11719949—41no—
500D4×D53—22no—
501D4×D53—22no—
502D4×D53—41no—
503D4×D53—41no—
504D4×D53—82no—
505#11719945—82no—
506C2×D212—21no—
507C2×D212—21no—
508C2×D212—21no—
509C2×D212—21no—
510C2×D212C2×D411yescharacteristic
511C2×D212C2×D411yescharacteristic
512C2×D212C2×D411yescharacteristic
513C2×D212C2411yescharacteristic
514C2×D212C2411yescharacteristic
515C2×C4×D53—21no—
516C2×C4×D53—21no—
517C2×C4×D53—21no—
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—82no—
528C2×C4×D53C2×D411yescharacteristic
529C2×C4×D53C2×D411yescharacteristic
530C2×C4×D53C2411yescharacteristic
531C2×C4×D53C2411yescharacteristic
532C2×C4×D53C2411yescharacteristic
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106—21no—
536C2×Dic106—21no—
537Q16×C53—41no—
538SD16×C53—41no—
539SD16×C53—41no—
540C2×C8×C53C2411yescharacteristic
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C2×C8×C53C2411yescharacteristic
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53C2×D411yescharacteristic
554C4⋊C4×C53C2×D411yescharacteristic
555C4⋊C4×C53C2×D411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C4⋊C4×C53C2411yescharacteristic
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C42×C53—21no—
567C42×C53—21no—
568C42×C53—21no—
569C42×C53—21no—
570C42×C53C2411yescharacteristic
571C42×C53C2411yescharacteristic
572C42×C53C2411yescharacteristic
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579#11719924—22no—
580#11719924—41no—
581#11719922—41no—
582#11719922—41no—
583#11719921—21no—
584#11719921—21no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921C2×D411yescharacteristic
606#11719921C2×D411yescharacteristic
607#11719921C2×D411yescharacteristic
608#11719921C2×D411yescharacteristic
609#11719921C2×D411yescharacteristic
610#11719921C2×D411yescharacteristic
611#11719921C2×D411yescharacteristic
612#11719921C2×D411yescharacteristic
613#11719921C2×D411yescharacteristic
614#11719921C2×D411yescharacteristic
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53C2×D411yescharacteristic
659C4×Dic53C2×D411yescharacteristic
660C4×Dic53C2411yescharacteristic
661C2×#88322C2411yescharacteristic
662C2×#88322C2411yescharacteristic
663C2×#88322C2411yescharacteristic
664C2×#88322C2411yescharacteristic
665D424—22no—
666#11719912—41no—
667#11719912—41no—
668#11719912—41no—
669#11719912—41no—
670C8×D53—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53—21no—
674C22×D53—21no—
675C22×D53—21no—
676C22×D53—42no—
677C22×D53—42no—
678C22×D53—42no—
679C22×D53—81no—
680C22×D53—81no—
681C22×D53—81no—
682C22×D53C22×D411yescharacteristic
683C22×D53C22×D411yescharacteristic
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—41no—
690Q8×C53—81no—
691D4×C53—21no—
692D4×C53—21no—
693D4×C53—21no—
694D4×C53—21no—
695D4×C53—81no—
696D4×C53—81no—
697C2×C4×C53—21no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—81no—
704C2×C4×C53—81no—
705C2×C4×C53C22×D411yescharacteristic
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C2511yescharacteristic
712C22⋊D53—42no—
713C22⋊D53—42no—
714C22⋊D53—42no—
715C22⋊D53—81no—
716C22⋊D53—81no—
717C22⋊D53—81no—
718C2×Dic53—21no—
719C2×Dic53—21no—
720C2×Dic53—21no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—81no—
725C2×Dic53—81no—
726C2×Dic53C22×D411yescharacteristic
727C2×Dic53C22×D411yescharacteristic
728C2×Dic53C22×D411yescharacteristic
729C2×Dic53C22×D411yescharacteristic
730C2×Dic53C22×D411yescharacteristic
731D212—21no—
732D212—21no—
733D212—21no—
734D212—41no—
735D212—41no—
736D212—41no—
737D212—42no—
738D212—81no—
739D212—81no—
740D212—81no—
741D2122−1+412yes—
742C4×D53—21no—
743C4×D53—21no—
744C4×D53—21no—
745C4×D53—21no—
746C4×D53—21no—
747C4×D53—21no—
748C4×D53—41no—
749C4×D53—41no—
750C4×D53—42no—
751C4×D53—42no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759C4×D53—81no—
760C4×D53—81no—
761C4×D53—81no—
762Dic106—81no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53—41no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53C23×D411yescharacteristic
782C2×D53—21no—
783C2×D53—21no—
784C2×D53—21no—
785C2×D53—21no—
786C2×D53—21no—
787C2×D53—21no—
788C2×D53—21no—
789C2×D53—21no—
790C2×D53—21no—
791C2×D53—22no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—84no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—21no—
804C4×C53—21no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53—41no—
811C4×C53C2×2−1+411yescharacteristic
812C4×C53#58511yescharacteristic
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371D5311yescharacteristic, complemented
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343—531no—
835#3339—531no—
836#3324—531no—
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—81no—
856C2×C53—81no—
857C2×C53#348911yescharacteristic
858C2×C53#358411yescharacteristic
859C2×C53#358511yescharacteristic
860D53—41no—
861D53—41no—
862D53—41no—
863D53—42no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559C2×D5311yescharacteristic
868#557C2×D5311yescharacteristic, complemented
869#556—531no—
870#556—1061no—
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—531no—
881#552—1061no—
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—531no—
887#546—1061no—
888D42—531no—
889#544—531no—
890#544—531no—
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490C2×D5311yescharacteristic
917#489C2×D5311yescharacteristic, complemented
918#488—531no—
919#488—531no—
920#488C2×D5311yescharacteristic, complemented
921#486—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484—531no—
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482—531no—
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479C2×D5311yescharacteristic, complemented
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478—531no—
955#478C2×D5311yescharacteristic, complemented
956#477—531no—
957#477—531no—
958#477—531no—
959#476—531no—
960#476—531no—
961#476—531no—
962#476C2×D5311yescharacteristic, complemented
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474—531no—
970#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468—531no—
978#467—531no—
979#466—531no—
980#466—531no—
981#465—531no—
982#464—531no—
983#464C2×D5311yescharacteristic, complemented
984#464C2×D5311yescharacteristic, complemented
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460C2×D5311yescharacteristic
991#459—531no—
992#452—531no—
993#450—531no—
994#450—531no—
995#449—531no—
996#447—531no—
997#447—531no—
998#446C2×D5311yescharacteristic, complemented
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441C2×D5311yescharacteristic, complemented
1003#440C2×D5311yescharacteristic, complemented
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16C2×D5311yescharacteristic, complemented
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428—531no—
1025#427—531no—
1026C2×#107—531no—
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418—531no—
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
1039C22×D4—531no—
1040C22×D4—531no—
1041C22×D4—1061no—
1042C23×C4—1061no—
1043C2×Q16C22×D5311yescharacteristic
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16C22×D5311yescharacteristic
1047C2×SD16C22×D5311yescharacteristic
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16—531no—
1055C22×C8—531no—
1056C22×C8—531no—
1057C4⋊Q8—21no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—531no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8C22×D5311yescharacteristic
1065#127C22×D5311yescharacteristic
1066#126—531no—
1067#126—531no—
1068#126—1061no—
1069#126—1061no—
1070#126—1061no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#125—21no—
1082#125—21no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—531no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125C22×D5311yescharacteristic
1095#125C22×D5311yescharacteristic
1096#124—21no—
1097#124—531no—
1098#124—531no—
1099#124—1061no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124C22×D5311yescharacteristic
1106#124C22×D5311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—531no—
1110#123—531no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—531no—
1129C22⋊Q8—531no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—531no—
1134C22⋊Q8—1061no—
1135C22⋊Q8—1061no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150#121—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—531no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121—1061no—
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—21no—
1172C4×Q8—531no—
1173C4×Q8—1061no—
1174C4×Q8—1061no—
1175C4×Q8—1061no—
1176C4×Q8C22×D5311yescharacteristic
1177C4×Q8C22×D5311yescharacteristic
1178C4×Q8C22×D5311yescharacteristic
1179C4×Q8C22×D5311yescharacteristic
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—21no—
1182C4×D4—531no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—531no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—531no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
1212#117—531no—
1213#117—531no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117—1061no—
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—531no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
1242#107—531no—
1243#107—531no—
1244#107—531no—
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106—531no—
1255#106—531no—
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8—531no—
1265C4⋊C8C22×D5311yescharacteristic
1266C4⋊C8C22×D5311yescharacteristic
1267C4⋊C8C22×D5311yescharacteristic
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103C22×D5311yescharacteristic
1275#103C22×D5311yescharacteristic
1276#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102C22×D5311yescharacteristic
1295#102C22×D5311yescharacteristic
1296#102C22×D5311yescharacteristic
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8—531no—
1305C22⋊C8—531no—
1306#97C22×D5311yescharacteristic
1307#97C22×D5311yescharacteristic
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8C22×D5311yescharacteristic
1312C24—1061no—
1313C24—1061no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
1317C2×Q8—21no—
1318C2×Q8—1061no—
1319C2×Q8—1061no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8D4×D5311yescharacteristic
1323C2×Q8C23×D5311yescharacteristic
1324C2×Q8C23×D5311yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—531no—
1328C2×D4—531no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—1061no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1062no—
1339C2×D4—1062no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—4242no—
1345C2×D4—2121no—
1346C2×D4—2121no—
1347C2×D4C23×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—531no—
1352C22×C4—531no—
1353C22×C4—531no—
1354C22×C4—531no—
1355C22×C4—531no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—1061no—
1369C22×C4—1061no—
1370C22×C4—4242no—
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—1062no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—2121no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—531no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—2121no—
1388C2×C8—2121no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4D4×D5311yescharacteristic
1440C4⋊C4D4×D5311yescharacteristic
1441C4⋊C4D4×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—531no—
1453C22⋊C4—531no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—531no—
1461C22⋊C4—531no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4—1061no—
1489C22⋊C4—1061no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42C23×D5311yescharacteristic
1504C42C23×D5311yescharacteristic
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—531no—
1509C23—531no—
1510C23—531no—
1511C23—1061no—
1512C23—1061no—
1513C23—4241no—
1514C23—4241no—
1515C23—4241no—
1516C23—2122no—
1517C23—2122no—
1518C23—2122no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—41no—
1524Q8—81no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—4241no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—81no—
1535D4—532no—
1536D4—1061no—
1537D4—1061no—
1538D4—1061no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2121no—
1546D4—2121no—
1547D4—2121no—
1548D4—2122no—
1549D4—2122no—
1550D4—2122no—
1551D4—2122no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—531no—
1561C2×C4—531no—
1562C2×C4—531no—
1563C2×C4—531no—
1564C2×C4—531no—
1565C2×C4—1061no—
1566C2×C4—1061no—
1567C2×C4—1061no—
1568C2×C4—1061no—
1569C2×C4—1061no—
1570C2×C4—1061no—
1571C2×C4—1061no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—4241no—
1578C2×C4—4241no—
1579C2×C4—4241no—
1580C2×C4—4241no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—2121no—
1590C2×C4—2121no—
1591C2×C4—2122no—
1592C2×C4—2122no—
1593C2×C4C2×D4×D5311yescharacteristic
1594C2×C4C2×D4×D5311yescharacteristic
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—8482no—
1615C22—1061no—
1616C22—1061no—
1617C22—1061no—
1618C22—1062no—
1619C22—1061no—
1620C22—1061no—
1621C22—1061no—
1622C22—1061no—
1623C22—1061no—
1624C22—1061no—
1625C22—4244no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C42−1+4×D5311yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—81no—
1658C2—81no—
1659C2—4241no—
1660C2—2121no—
1661C2—2122no—
1662C2—2121no—
1663C2—2121no—
1664C2#2028839411yescharacteristic
1665C2#2028948811yescharacteristic
1666C2#2028949311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3371C2
socleC22×C53C23×D4
hypercenter#3371D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #20289367C2semidirect
2. #20288654C2semidirect
3. #20287675C2semidirect
4. #20287586C2semidirect
5. #20287371C2semidirect
6. #20287307C2semidirect
7. #20287280C2semidirect
8. #20287272C2semidirect
9. #20287250C2semidirect
10. #20287160C2semidirect
11. #20287114C2semidirect
12. #20286949C2semidirect
13. #20286938C2semidirect
14. #20286915C2semidirect
15. #20286870C2semidirect
16. #20286855C2semidirect
17. #20286557C2semidirect
18. #20286174C2semidirect
19. #20286124C2semidirect
20. #20286114C2semidirect
21. #20286008C2semidirect
22. #20285963C2semidirect
23. #20285889C2semidirect
24. #20284990C2semidirect
25. #20284903C2semidirect
26. #20284766C2semidirect
27. #20284569C2semidirect
28. #20284541C2semidirect
29. #20284510C2semidirect
30. #20283867C2semidirect
31. C53×#3371C2semidirect
36. #16811339C22semidirect
38. #16811333C22semidirect
40. #16811326C22semidirect
44. #16811314C22semidirect
45. #16811314C22semidirect
54. #16811253C22semidirect
55. #16811250C22semidirect
58. #16811245C22semidirect
59. #16811245C22semidirect
66. #16811179C22semidirect
68. #16811160C22semidirect
75. #16811032C22semidirect
76. #16811032C22semidirect
77. #16811025C22semidirect
78. #16811022C22semidirect
79. #16811022C22semidirect
80. #16811019C22semidirect
81. #16810977C22semidirect
82. #16810977C22semidirect
84. #16810963C22semidirect
85. #16810963C22semidirect
86. #16810962C22semidirect
87. #16810962C22semidirect
88. #16810957C22semidirect
89. #16810952C22semidirect
90. #16810952C22semidirect
91. #16810950C22semidirect
93. #16810946C22semidirect
96. #16810945C22semidirect
97. #16810943C22semidirect
98. #16810943C22semidirect
100. #16810940C22semidirect
101. #16810935C22semidirect
102. #16810932C22semidirect
103. #16810930C22semidirect
104. #16810930C22semidirect
105. #16810925C22semidirect
108. #16810924C22semidirect
109. #16810924C22semidirect
110. #16810923C22semidirect
111. #16810923C22semidirect
113. #16810921C22semidirect
116. #16810918C22semidirect
117. #16810918C22semidirect
118. #16810916C22semidirect
120. #16810911C22semidirect
121. #16810911C22semidirect
122. #16810906C22semidirect
124. #16810904C22semidirect
126. #16810901C22semidirect
127. #16810901C22semidirect
129. #16810878C22semidirect
131. #16810875C22semidirect
132. #16810872C22semidirect
133. #16810872C22semidirect
136. #16810866C22semidirect
137. #16810861C22semidirect
139. #16810858C22semidirect
140. #16810849C22semidirect
141. #16810847C22semidirect
143. #16810840C22semidirect
144. #16810840C22semidirect
145. #16810835C22semidirect
146. #16810835C22semidirect
154. Q8×#88322C22semidirect
160. C4×#11719924C22semidirect
162. C4×#11719922C22semidirect
163. C4×#11719922C22semidirect
164. #16810702C22semidirect
166. #16810700C22semidirect
168. #16810696C22semidirect
169. #16810688C22semidirect
170. #16810685C22semidirect
171. #16810685C22semidirect
172. #16810674C22semidirect
173. #16810664C22semidirect
174. #16810662C22semidirect
175. #16810662C22semidirect
176. #16810662C22semidirect
177. #16810658C22semidirect
178. #107×D53C22semidirect
179. #16810648C22semidirect
180. #16810648C22semidirect
181. #16810645C22semidirect
189. C53×#557C22semidirect
191. C53×#489C22semidirect
192. C53×#488C22semidirect
193. C53×#479C22semidirect
194. C53×#478C22semidirect
195. C53×#476C22semidirect
196. C53×#464C22semidirect
197. C53×#464C22semidirect
199. C53×#446C22semidirect
200. C53×#441C22semidirect
201. C53×#440C22semidirect
202. C4×SD16×C53C22semidirect
828. #3371D53semidirect
868. #557C2×D53semidirect
917. #489C2×D53semidirect
920. #488C2×D53semidirect
943. #479C2×D53semidirect
955. #478C2×D53semidirect
962. #476C2×D53semidirect
983. #464C2×D53semidirect
984. #464C2×D53semidirect
998. #446C2×D53semidirect
1002. #441C2×D53semidirect
1003. #440C2×D53semidirect
1008. C4×SD16C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893672
#202886542
#202876752
#202875862
#202873712
#202873072
#202872802
#202872722
#202872502
#202871602
#202871142
#202869492
#202869382
#202869152
#202868702
#202868552
#202865572
#202861742
#202861242
#202861142
#202860082
#202859632
#202858892
#202849902
#202849032
#202847662
#202845692
#202845412
#202845102
#202838672
C53×#33712
#6217553