Finite Group Databasebeta

← #28275812

Subgroups — #28275812

Order 13568.

1664 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289199C211yesmaximal, characteristic, complemented
2#20288608C211yesmaximal, characteristic, complemented
3#20287791C211yesmaximal, characteristic, complemented
4#20287789C211yesmaximal, characteristic, complemented
5#20287788C211yesmaximal, characteristic, complemented
6#20287780C211yesmaximal, characteristic, complemented
7#20287742C211yesmaximal, characteristic, complemented
8#20287716C211yesmaximal, characteristic, complemented
9#20287702C211yesmaximal, characteristic, complemented
10#20287558C211yesmaximal, characteristic, complemented
11#20287544C211yesmaximal, characteristic, complemented
12#20287530C211yesmaximal, characteristic, complemented
13#20287476C211yesmaximal, characteristic, complemented
14#20287462C211yesmaximal, characteristic, complemented
15#20287450C211yesmaximal, characteristic, complemented
16#20287406C211yesmaximal, characteristic, complemented
17#20287401C211yesmaximal, characteristic, complemented
18#20285829C211yesmaximal, characteristic, complemented
19#20285814C211yesmaximal, characteristic
20#20285793C211yesmaximal, characteristic, complemented
21#20285780C211yesmaximal, characteristic, complemented
22#20285713C211yesmaximal, characteristic, complemented
23#20285684C211yesmaximal, characteristic, complemented
24#20285013C211yesmaximal, characteristic, complemented
25#20284965C211yesmaximal, characteristic, complemented
26#20284950C211yesmaximal, characteristic, complemented
27#20284903C211yesmaximal, characteristic, complemented
28#20284828C211yesmaximal, characteristic, complemented
29#20284783C211yesmaximal, characteristic, complemented
30#20283808C211yesmaximal, characteristic, complemented
31C53×#3400C211yesmaximal, characteristic, complemented
32#16811377—21no—
33#16811377—21no—
34#16811359C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811355C2211yescharacteristic
37Q8×Dic106C2211yescharacteristic, complemented
38#16811349C2211yescharacteristic, complemented
39#16811349C2211yescharacteristic, complemented
40#16811347C2211yescharacteristic, complemented
41#16811347C2211yescharacteristic, complemented
42#16811347C2211yescharacteristic, complemented
43#16811346—21no—
44#16811346C2211yescharacteristic
45#16811345C2211yescharacteristic
46#16811343C2211yescharacteristic
47#16811342C2211yescharacteristic
48#16811333C2211yescharacteristic, complemented
49#16811311—21no—
50#16811303—21no—
51#16811302—21no—
52#16811301—21no—
53#16811296—21no—
54#16811253—21no—
55#16811245C2211yescharacteristic
56#16811245C2211yescharacteristic
57#16811241—21no—
58#16811237—21no—
59#16811234C2211yescharacteristic
60#16811234C2211yescharacteristic
61#16811232—21no—
62#16811232—21no—
63#16811231—21no—
64#16811193C2211yescharacteristic
65#16811186C2211yescharacteristic
66#16811178C2211yescharacteristic
67#16811177C2211yescharacteristic
68#16811160C2211yescharacteristic
69#16811153—21no—
70#16811150—21no—
71#124×D53C2211yescharacteristic
72#16811099C2211yescharacteristic
73#16811095C2211yescharacteristic
74C4×#11719947C2211yescharacteristic
75#16811016C2211yescharacteristic, complemented
76#16811015C2211yescharacteristic
77#16811015C2211yescharacteristic
78#16811009C2211yescharacteristic
79#16811008C2211yescharacteristic
80#16811004C2211yescharacteristic
81#16811004C2211yescharacteristic
82#16811004C2211yescharacteristic, complemented
83#16811002C2211yescharacteristic, complemented
84#16810992C2211yescharacteristic, complemented
85#16810987C2211yescharacteristic
86#16810983C2211yescharacteristic
87#16810982C2211yescharacteristic
88#16810981C2211yescharacteristic
89#16810981C2211yescharacteristic, complemented
90#16810979C2211yescharacteristic
91#16810978C2211yescharacteristic
92#16810977C2211yescharacteristic, complemented
93#16810976C2211yescharacteristic
94#16810972C2211yescharacteristic, complemented
95#16810968C2211yescharacteristic
96#16810963C2211yescharacteristic
97#16810962C2211yescharacteristic
98#16810962C2211yescharacteristic
99#16810950C2211yescharacteristic
100#16810931C2211yescharacteristic, complemented
101#16810930C2211yescharacteristic, complemented
102#16810929C2211yescharacteristic, complemented
103#16810924C2211yescharacteristic
104#16810923C2211yescharacteristic
105#16810921C2211yescharacteristic, complemented
106#16810917C2211yescharacteristic, complemented
107#16810911C2211yescharacteristic
108#16810909C2211yescharacteristic, complemented
109#16810906C2211yescharacteristic, complemented
110#16810903C2211yescharacteristic, complemented
111#16810902C2211yescharacteristic
112#16810848C2211yescharacteristic, complemented
113#16810848C2211yescharacteristic, complemented
114#16810847C2211yescharacteristic
115#16810847C2211yescharacteristic
116#16810847C2211yescharacteristic, complemented
117#16810845C2211yescharacteristic
118#16810845C2211yescharacteristic
119#16810843C2211yescharacteristic
120#16810843C2211yescharacteristic
121#16810843C2211yescharacteristic
122#16810843C2211yescharacteristic
123#16810843C2211yescharacteristic, complemented
124#16810843C2211yescharacteristic, complemented
125#16810841C2211yescharacteristic
126#16810840C2211yescharacteristic
127#16810840C2211yescharacteristic, complemented
128#16810839C2211yescharacteristic
129#16810839C2211yescharacteristic
130#16810835C2211yescharacteristic
131#16810835C2211yescharacteristic, complemented
132#16810833C2211yescharacteristic, complemented
133#16810831C2211yescharacteristic, complemented
134#16810831C2211yescharacteristic, complemented
135#16810830C2211yescharacteristic, complemented
136#16810830C2211yescharacteristic, complemented
137#16810829C2211yescharacteristic, complemented
138#16810825C2211yescharacteristic
139#16810821C2211yescharacteristic
140#16810821C2211yescharacteristic
141#16810815C2211yescharacteristic
142#16810782C2211yescharacteristic
143#16810782C2211yescharacteristic
144#16810782C2211yescharacteristic
145#16810777C2211yescharacteristic
146#16810777C2211yescharacteristic
147#16810777C2211yescharacteristic
148#16810772C2211yescharacteristic
149#16810772C2211yescharacteristic
150#16810772C2211yescharacteristic
151#16810769C2211yescharacteristic
152#16810763C2211yescharacteristic
153#16810758C2211yescharacteristic
154#16810754C2211yescharacteristic, complemented
155#16810752C2211yescharacteristic, complemented
156#16810752C2211yescharacteristic, complemented
157#16810751C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159C8×Dic106C2211yescharacteristic, complemented
160#16810747C2211yescharacteristic, complemented
161#16810736C2211yescharacteristic
162#16810733C2211yescharacteristic, complemented
163#16810730C2211yescharacteristic, complemented
164#16810728C2211yescharacteristic, complemented
165#16810728C2211yescharacteristic, complemented
166#16810727C2211yescharacteristic, complemented
167#16810726C2211yescharacteristic
168#16810725C2211yescharacteristic, complemented
169#16810724C2211yescharacteristic
170#16810721C2211yescharacteristic, complemented
171Q16×Dic53C2211yescharacteristic, complemented
172#16810715C2211yescharacteristic, complemented
173#16810715C2211yescharacteristic, complemented
174#16810715C2211yescharacteristic, complemented
175C4×#11719913C2211yescharacteristic, complemented
176SD16×Dic53C2211yescharacteristic
177SD16×Dic53C2211yescharacteristic, complemented
178SD16×Dic53C2211yescharacteristic, complemented
179C4×#11719924C2211yescharacteristic
180#16810708C2211yescharacteristic
181C4×#11719922C2211yescharacteristic
182#16810685C2211yescharacteristic
183#16810683C2211yescharacteristic
184#16810683C2211yescharacteristic
185#16810682C2211yescharacteristic
186#16810678C2211yescharacteristic
187#16810675C2211yescharacteristic
188C53×#559C2211yescharacteristic
189C53×#557C2211yescharacteristic, complemented
190C53×#497C2211yescharacteristic
191C53×#497C2211yescharacteristic, complemented
192C53×#492C2211yescharacteristic
193C53×#464C2211yescharacteristic
194C53×#464C2211yescharacteristic, complemented
195C53×#462C2211yescharacteristic, complemented
196C53×#461C2211yescharacteristic
197C53×#461C2211yescharacteristic, complemented
198C53×#460C2211yescharacteristic
199C53×#446C2211yescharacteristic, complemented
200C53×#440C2211yescharacteristic
201C53×#440C2211yescharacteristic, complemented
202C4×Q16×C53C2211yescharacteristic, complemented
203C2×#11719947C2311yescharacteristic
204C2×Q8×D53C2311yescharacteristic
205C2×D4×D53C2311yescharacteristic
206C2×#11719925C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719925C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719913C2311yescharacteristic
213C2×#11719913C2311yescharacteristic
214C2×#11719924C2311yescharacteristic
215C2×#11719924C2311yescharacteristic
216C2×#11719924C2311yescharacteristic
217C2×#11719924C2311yescharacteristic
218C2×D424C2311yescharacteristic
219C2×#11719922C2311yescharacteristic
220C2×#11719922C2311yescharacteristic
221#13133217—21no—
222#13133217C2311yescharacteristic
223#13133217C2311yescharacteristic
224#13133216—21no—
225#13133216—21no—
226#13133216—21no—
227#13133216—21no—
228#13133216D411yescharacteristic
229#13133216C2311yescharacteristic
230#13133216C2311yescharacteristic
231#13133215D411yescharacteristic
232#13133215C2311yescharacteristic
233#13133213C2311yescharacteristic
234#13133212—21no—
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
240#13133212—21no—
241#13133212—21no—
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133211—21no—
249#13133211—21no—
250#13133211—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133209—21no—
256#13133209—21no—
257#13133209C2311yescharacteristic
258#13133209C2311yescharacteristic
259#13133208—21no—
260#13133208—21no—
261#13133208—21no—
262#13133208C2311yescharacteristic
263#13133207—21no—
264#13133207—21no—
265#13133207—21no—
266#13133207—21no—
267#13133207D411yescharacteristic
268#13133207D411yescharacteristic
269#13133206C2311yescharacteristic
270#13133206C2311yescharacteristic
271#13133206C2311yescharacteristic
272#13133206C2311yescharacteristic
273#13133205—21no—
274#13133205—21no—
275#13133205C2311yescharacteristic
276#13133205C2311yescharacteristic
277#13133204—21no—
278#13133204C2311yescharacteristic
279#13133204C2311yescharacteristic
280#13133204C2311yescharacteristic
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133202—21no—
286#13133202—21no—
287#13133202—21no—
288#13133201—21no—
289#13133200—21no—
290#13133199—21no—
291#13133199—21no—
292#13133199—21no—
293#13133199—21no—
294#13133198—21no—
295#13133198—21no—
296#13133197—21no—
297#13133197—21no—
298#13133197—21no—
299#13133197—21no—
300#13133197D411yescharacteristic
301#13133196—21no—
302#13133195—21no—
303#13133195—21no—
304#13133195—21no—
305#13133195—21no—
306#13133195—21no—
307#13133195D411yescharacteristic
308#13133195D411yescharacteristic
309#13133194—21no—
310#13133194—21no—
311#13133194—21no—
312#13133193—21no—
313#13133193—21no—
314#13133193D411yescharacteristic
315#13133193C2311yescharacteristic
316#13133193C2311yescharacteristic
317#13133193C2311yescharacteristic
318#13133192C2311yescharacteristic
319#13133189—21no—
320#13133189—21no—
321#13133185—21no—
322#13133185—21no—
323Q8×Dic53C2311yescharacteristic
324Q8×Dic53C2311yescharacteristic
325Q8×Dic53C2311yescharacteristic
326Q8×Dic53C2311yescharacteristic
327Q8×Dic53C2311yescharacteristic
328Q8×Dic53C2311yescharacteristic
329Q8×Dic53C2311yescharacteristic
330C4×Dic106—21no—
331C4×Dic106—21no—
332C4×Dic106—21no—
333C4×Dic106—21no—
334C4×Dic106C2311yescharacteristic
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337C4×Dic106C2311yescharacteristic
338C4×Dic106C2311yescharacteristic
339#13133182—21no—
340#13133182—21no—
341#13133182C2311yescharacteristic
342#13133182C2311yescharacteristic
343C4×D212—21no—
344C4×D212C2311yescharacteristic
345C4×D212C2311yescharacteristic
346C4×D212C2311yescharacteristic
347C4×D212C2311yescharacteristic
348D4×Dic53—21no—
349D4×Dic53C2311yescharacteristic
350D4×Dic53C2311yescharacteristic
351#13133179C2311yescharacteristic
352C4×C22⋊D53—21no—
353C4×C22⋊D53—21no—
354C4×C22⋊D53—21no—
355#13133177—21no—
356#13133177—21no—
357#13133177—21no—
358#13133176—21no—
359#13133175—21no—
360#13133175—21no—
361#13133175—21no—
362#13133175—21no—
363#13133175—21no—
364#13133175—21no—
365#13133175C2311yescharacteristic
366#13133174—21no—
367#13133174—21no—
368#13133174—21no—
369#13133174C2311yescharacteristic
370#13133174C2311yescharacteristic
371#13133173—21no—
372#13133173—21no—
373C4⋊C4×D53—21no—
374C2×#11719921—21no—
375C22⋊C4×D53—21no—
376C22⋊C4×D53—21no—
377C22⋊C4×D53—21no—
378C2×C4×Dic53—21no—
379C42×D53C2311yescharacteristic
380#13133151C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133149C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387C4⋊#88322C2311yescharacteristic
388C4⋊#88322C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390#13133146C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133142C2311yescharacteristic
397#13133142C2311yescharacteristic
398#13133142C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133129C2311yescharacteristic
423#13133129C2311yescharacteristic
424#13133129C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133128C2311yescharacteristic
427#13133128C2311yescharacteristic
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430C4×#88322C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×Q16×C53C2311yescharacteristic
436C2×Q16×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C4⋊Q8×C53C2311yescharacteristic
445C4⋊Q8×C53C2311yescharacteristic
446C4⋊Q8×C53C2311yescharacteristic
447#127×C53C2311yescharacteristic
448#125×C53—21no—
449#125×C53—21no—
450#125×C53—21no—
451#124×C53—21no—
452#124×C53C2311yescharacteristic
453#124×C53C2311yescharacteristic
454#123×C53—21no—
455#123×C53—21no—
456C4×Q8×C53—21no—
457C4×Q8×C53C2311yescharacteristic
458C4×Q8×C53C2311yescharacteristic
459C4×Q8×C53C2311yescharacteristic
460C4×Q8×C53C2311yescharacteristic
461C4×Q8×C53C2311yescharacteristic
462C4×D4×C53—21no—
463C4×D4×C53C2311yescharacteristic
464C4×D4×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466C4⋊C8×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#97×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C2×Q8×C53C2×D411yescharacteristic
480C2×Q8×C53C2411yescharacteristic
481C2×Q8×C53C2411yescharacteristic
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—
494C22×Dic53—21no—
495C22×Dic53—21no—
496C22×Dic53—21no—
497Q8×D53—41no—
498Q8×D53—41no—
499#11719947—41no—
500#11719947—41no—
501D4×D53—41no—
502D4×D53—41no—
503C2×D212—21no—
504C2×D212C2411yescharacteristic
505C2×D212C2411yescharacteristic
506C2×C4×D53—21no—
507C2×C4×D53—21no—
508C2×C4×D53—21no—
509C2×C4×D53—21no—
510C2×C4×D53—21no—
511C2×C4×D53—21no—
512C2×C4×D53C2×D411yescharacteristic
513C2×C4×D53C2×D411yescharacteristic
514C2×C4×D53C2411yescharacteristic
515C2×Dic106—21no—
516C2×Dic106—21no—
517C2×Dic106—21no—
518C2×Dic106—21no—
519C2×Dic106C2×D411yescharacteristic
520C2×Dic106C2×D411yescharacteristic
521C2×Dic106C2×D411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524Q16×C53—41no—
525Q16×C53—41no—
526Q16×C53—41no—
527SD16×C53—41no—
528SD16×C53—41no—
529SD16×C53—41no—
530SD16×C53—41no—
531SD16×C53—41no—
532SD16×C53—41no—
533C2×C8×C53C2411yescharacteristic
534C2×C8×C53C2411yescharacteristic
535C2×C8×C53C2411yescharacteristic
536C2×C8×C53C2411yescharacteristic
537C4⋊C4×C53—21no—
538C4⋊C4×C53—21no—
539C4⋊C4×C53—21no—
540C4⋊C4×C53—21no—
541C4⋊C4×C53—21no—
542C4⋊C4×C53—21no—
543C4⋊C4×C53—21no—
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53C2×D411yescharacteristic
548C4⋊C4×C53C2×D411yescharacteristic
549C4⋊C4×C53C2×D411yescharacteristic
550C4⋊C4×C53C2411yescharacteristic
551C4⋊C4×C53C2411yescharacteristic
552C22⋊C4×C53—21no—
553C22⋊C4×C53—21no—
554C22⋊C4×C53—21no—
555C22⋊C4×C53—21no—
556C22⋊C4×C53—21no—
557C22⋊C4×C53—21no—
558C42×C53—21no—
559C42×C53—21no—
560C42×C53—21no—
561C42×C53—21no—
562C42×C53C2411yescharacteristic
563C42×C53C2411yescharacteristic
564C42×C53C2411yescharacteristic
565C22⋊Dic53—21no—
566C22⋊Dic53—21no—
567C22⋊Dic53—21no—
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573#11719925—41no—
574#11719925—41no—
575#11719925—41no—
576#11719925—41no—
577#11719925—41no—
578#11719925—41no—
579#11719924—41no—
580#11719924—41no—
581#11719924—41no—
582#11719924—41no—
583#11719922—41no—
584#11719922—41no—
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#11719921—21no—
606#11719921—21no—
607#11719921C2×D411yescharacteristic
608#11719921C2×D411yescharacteristic
609#11719921C2×D411yescharacteristic
610#11719921C2×D411yescharacteristic
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53—21no—
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2×D411yescharacteristic
624C4⋊Dic53C2×D411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628C4⋊Dic53C2411yescharacteristic
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#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652#11719919C2×D411yescharacteristic
653#11719919C2×D411yescharacteristic
654#11719919C2×D411yescharacteristic
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53C2×D411yescharacteristic
668C4×Dic53C2×D411yescharacteristic
669C4×Dic53C2411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C4×Dic53C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675C2×#88322C2411yescharacteristic
676D424—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C23×C53—21no—
681C22×D53—21no—
682C22×D53—21no—
683C22×D53—42no—
684C22×D53—81no—
685C22×D53—81no—
686C22×D53C22×D411yescharacteristic
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692Q8×C53—21no—
693Q8×C53—21no—
694Q8×C53—21no—
695Q8×C53—41no—
696D4×C53—21no—
697D4×C53—21no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—81no—
701D4×C53—81no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—21no—
707C2×C4×C53—21no—
708C2×C4×C53—81no—
709C2×C4×C53—81no—
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C2511yescharacteristic
717C22⋊D53—42no—
718C22⋊D53—42no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—42no—
728C2×Dic53—81no—
729C2×Dic53—81no—
730C2×Dic53C22×D411yescharacteristic
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737D212—21no—
738D212—21no—
739D212—21no—
740D212—21no—
741D212—81no—
742C4×D53—21no—
743C4×D53—21no—
744C4×D53—41no—
745C4×D53—41no—
746C4×D53—42no—
747C4×D53—42no—
748C4×D53—81no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752Dic106—21no—
753Dic106—21no—
754Dic106—21no—
755Dic106—21no—
756Dic106—41no—
757Dic106—41no—
758Dic106—41no—
759Dic106—42no—
760Dic106—81no—
761Dic106—81no—
762Dic106—81no—
763C8×C53—21no—
764C8×C53—21no—
765C8×C53—21no—
766C8×C53—21no—
767#88322—21no—
768#88322—21no—
769#88322—21no—
770#88322—21no—
771#61925—531nomaximal, Sylow
772C22×C53—41no—
773C22×C53—41no—
774C22×C53—41no—
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53C23×D411yescharacteristic
779C2×D53—21no—
780C2×D53—21no—
781C2×D53—21no—
782C2×D53—41no—
783C2×D53—41no—
784C2×D53—41no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—162no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—21no—
795C4×C53—41no—
796C4×C53—41no—
797C4×C53—41no—
798C4×C53—41no—
799C4×C53—41no—
800C4×C53—41no—
801C4×C53#58511yescharacteristic
802C4×C53#58511yescharacteristic
803Dic53—21no—
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—21no—
809Dic53—21no—
810Dic53—41no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53—41no—
815Dic53—41no—
816#3555—531no—
817#3510—531no—
818#3402—531no—
819#3402—531no—
820#3401—531no—
821#3401—531no—
822#3400D5311yescharacteristic, complemented
823#3398—531no—
824#3394—531no—
825#3393—531no—
826#3377—531no—
827#3376—531no—
828#3375—531no—
829#3371—531no—
830#3370—531no—
831#3369—531no—
832#3365—531no—
833#3364—531no—
834#3225—531no—
835#3224—531no—
836#3223—531no—
837#3222—531no—
838#3215—531no—
839#3211—531no—
840#3127—531no—
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111—531no—
845#3107—531no—
846#2985—531no—
847C2×C53—81no—
848C2×C53—81no—
849C2×C53#348711yescharacteristic
850C2×C53#358411yescharacteristic
851C2×C53#358611yescharacteristic
852D53—41no—
853D53—81no—
854D53—81no—
855#563—1061no—
856#563—1061no—
857#559—531no—
858#559—531no—
859#559—531no—
860#559C2×D5311yescharacteristic
861Q82—531no—
862#557—531no—
863#557—531no—
864#557C2×D5311yescharacteristic, complemented
865#556—531no—
866#556—531no—
867#556—531no—
868#556—531no—
869#556—531no—
870#556—531no—
871#556—531no—
872#556—1061no—
873#554—531no—
874#552—1061no—
875#551—1061no—
876#551—1061no—
877#551—1061no—
878#551—1061no—
879#544—1061no—
880#542—531no—
881#542—531no—
882#542—1061no—
883#542—1061no—
884#541—531no—
885#541—531no—
886#541—1061no—
887#541—1061no—
888#541—1061no—
889#536—531no—
890#535—531no—
891#533—531no—
892#533—531no—
893#529—531no—
894#529—1061no—
895#529—1061no—
896C2×#124—531no—
897#519—531no—
898#518—531no—
899C4×#41—531no—
900#497—531no—
901#497—531no—
902#497—531no—
903#497C2×D5311yescharacteristic
904#497C2×D5311yescharacteristic, complemented
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494—531no—
911#492C2×D5311yescharacteristic
912#491—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#489—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#488—531no—
922#487—531no—
923#486—531no—
924#485—531no—
925#485—531no—
926#485—531no—
927#482—531no—
928#479—531no—
929#479—531no—
930#479—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474—531no—
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464C2×D5311yescharacteristic
954#464C2×D5311yescharacteristic, complemented
955#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#462—531no—
963#462—531no—
964#462—531no—
965#462—531no—
966#462—531no—
967#462C2×D5311yescharacteristic, complemented
968#461—531no—
969#461—531no—
970#461C2×D5311yescharacteristic
971#461C2×D5311yescharacteristic, complemented
972#460—531no—
973#460—531no—
974#460C2×D5311yescharacteristic
975#459—531no—
976#452—531no—
977#452—531no—
978#452—531no—
979#451—531no—
980#451—531no—
981#451—531no—
982#450—531no—
983#450—531no—
984#450—531no—
985#449—531no—
986#448—531no—
987#447—531no—
988#446—531no—
989#446—531no—
990#446—531no—
991#446—531no—
992#446—531no—
993#446C2×D5311yescharacteristic, complemented
994C8×Q8—531no—
995C8×Q8—531no—
996#442—531no—
997#442—531no—
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441—531no—
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440C2×D5311yescharacteristic
1007#440C2×D5311yescharacteristic, complemented
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16—531no—
1012C4×Q16C2×D5311yescharacteristic, complemented
1013C4×SD16—531no—
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×D8—531no—
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433—531no—
1024#432—531no—
1025#431—531no—
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41—531no—
1028C22×Q8—531no—
1029C22×D4—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
1035C2×Q16—531no—
1036C2×Q16C22×D5311yescharacteristic
1037C2×Q16C22×D5311yescharacteristic
1038C2×Q16C22×D5311yescharacteristic
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16C22×D5311yescharacteristic
1046C2×SD16C22×D5311yescharacteristic
1047C2×SD16C22×D5311yescharacteristic
1048C2×SD16C22×D5311yescharacteristic
1049C2×SD16C22×D5311yescharacteristic
1050C2×SD16C22×D5311yescharacteristic
1051C2×D8—531no—
1052C2×D8—531no—
1053C2×D8—531no—
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8C22×D5311yescharacteristic
1067C4⋊Q8C22×D5311yescharacteristic
1068C4⋊Q8C22×D5311yescharacteristic
1069#127—531no—
1070#127C22×D5311yescharacteristic
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#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—531no—
1096#125—531no—
1097#125—531no—
1098#125—531no—
1099#125—531no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#125—1061no—
1105#125—1061no—
1106#125—1061no—
1107#125—1061no—
1108#125—1061no—
1109#124—21no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—531no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124C22×D5311yescharacteristic
1127#124C22×D5311yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—1061no—
1131#123—1061no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141C22⋊Q8—531no—
1142C22⋊Q8—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163#121—531no—
1164#121—1061no—
1165#121—1061no—
1166#120—1061no—
1167#120—1061no—
1168C4×Q8—21no—
1169C4×Q8—531no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—1061no—
1184C4×Q8—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8C22×D5311yescharacteristic
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4C22×D5311yescharacteristic
1211C4×D4C22×D5311yescharacteristic
1212#117—531no—
1213#117—531no—
1214#117—531no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117—1061no—
1221#117—1061no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117—1061no—
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C42—531no—
1233C2×C42—1061no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107C22×D5311yescharacteristic
1238#106—531no—
1239#106—531no—
1240#106—531no—
1241#106—531no—
1242C4⋊C8—531no—
1243C4⋊C8—531no—
1244C4⋊C8—531no—
1245C4⋊C8—531no—
1246C4⋊C8—531no—
1247C4⋊C8—531no—
1248C4⋊C8—531no—
1249C4⋊C8—531no—
1250C4⋊C8—531no—
1251C4⋊C8C22×D5311yescharacteristic
1252C4⋊C8C22×D5311yescharacteristic
1253C4⋊C8C22×D5311yescharacteristic
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103—531no—
1260#103—531no—
1261#103—531no—
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103—531no—
1267#103—531no—
1268#103C22×D5311yescharacteristic
1269#103C22×D5311yescharacteristic
1270#103C22×D5311yescharacteristic
1271#103C22×D5311yescharacteristic
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102C22×D5311yescharacteristic
1285#102C22×D5311yescharacteristic
1286C22⋊C8—531no—
1287C22⋊C8—531no—
1288C22⋊C8—531no—
1289C22⋊C8—531no—
1290#97—531no—
1291#97—531no—
1292#97—531no—
1293#97—531no—
1294#97C22×D5311yescharacteristic
1295#97C22×D5311yescharacteristic
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8C22×D5311yescharacteristic
1302C24—1061no—
1303#41—2121no—
1304#41—2121no—
1305C2×Q8—531no—
1306C2×Q8—531no—
1307C2×Q8—531no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—1061no—
1311C2×Q8—1061no—
1312C2×Q8—1061no—
1313C2×Q8—1061no—
1314C2×Q8—2121no—
1315C2×Q8—2121no—
1316C2×Q8D4×D5311yescharacteristic
1317C2×Q8C23×D5311yescharacteristic
1318C2×Q8C23×D5311yescharacteristic
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—531no—
1324C2×D4—531no—
1325C2×D4—1061no—
1326C2×D4—1061no—
1327C2×D4—1061no—
1328C2×D4—1061no—
1329C2×D4—1061no—
1330C2×D4—2121no—
1331C2×D4—2121no—
1332C2×D4C23×D5311yescharacteristic
1333C2×D4C23×D5311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—531no—
1337C22×C4—531no—
1338C22×C4—531no—
1339C22×C4—1061no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4—1061no—
1346C22×C4—1061no—
1347C22×C4—1061no—
1348Q16—41no—
1349Q16—41no—
1350Q16—41no—
1351Q16—2121no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—41no—
1358SD16—41no—
1359SD16—41no—
1360SD16—41no—
1361SD16—41no—
1362SD16—41no—
1363SD16—2121no—
1364SD16—2121no—
1365SD16—2121no—
1366SD16—2121no—
1367SD16—2121no—
1368SD16—2121no—
1369D8—2121no—
1370D8—2121no—
1371D8—2121no—
1372C2×C8—531no—
1373C2×C8—531no—
1374C2×C8—531no—
1375C2×C8—531no—
1376C2×C8C23×D5311yescharacteristic
1377C2×C8C23×D5311yescharacteristic
1378C2×C8C23×D5311yescharacteristic
1379C2×C8C23×D5311yescharacteristic
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—531no—
1395C4⋊C4—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
1410C4⋊C4—1061no—
1411C4⋊C4—1061no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4D4×D5311yescharacteristic
1435C4⋊C4D4×D5311yescharacteristic
1436C4⋊C4D4×D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—531no—
1446C22⋊C4—531no—
1447C22⋊C4—531no—
1448C22⋊C4—531no—
1449C22⋊C4—1061no—
1450C22⋊C4—1061no—
1451C22⋊C4—1061no—
1452C22⋊C4—1061no—
1453C22⋊C4—1061no—
1454C22⋊C4—1061no—
1455C22⋊C4—1061no—
1456C22⋊C4—1061no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—531no—
1484C42—531no—
1485C42—531no—
1486C42—531no—
1487C42—531no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42C23×D5311yescharacteristic
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—21no—
1504C23—21no—
1505C23—531no—
1506C23—1061no—
1507C23—1061no—
1508C23—4241no—
1509C23—4241no—
1510C23—2122no—
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—41no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—2121no—
1528Q8—2121no—
1529Q8—2121no—
1530Q8—2122no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—81no—
1536D4—81no—
1537D4—1061no—
1538D4—1061no—
1539D4—1061no—
1540D4—1061no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—2122no—
1545D4—2122no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—81no—
1553C2×C4—81no—
1554C2×C4—531no—
1555C2×C4—531no—
1556C2×C4—531no—
1557C2×C4—531no—
1558C2×C4—531no—
1559C2×C4—531no—
1560C2×C4—531no—
1561C2×C4—1061no—
1562C2×C4—1061no—
1563C2×C4—1061no—
1564C2×C4—1061no—
1565C2×C4—1061no—
1566C2×C4—1061no—
1567C2×C4—1061no—
1568C2×C4—1061no—
1569C2×C4—4241no—
1570C2×C4—4241no—
1571C2×C4—4241no—
1572C2×C4—4241no—
1573C2×C4—4241no—
1574C2×C4—4241no—
1575C2×C4—2121no—
1576C2×C4—2121no—
1577C2×C4—2122no—
1578C2×C4—2122no—
1579C2×C4—2122no—
1580C2×C4C2×D4×D5311yescharacteristic
1581C2×C4C2×D4×D5311yescharacteristic
1582C2×C4C2×D4×D5311yescharacteristic
1583C2×C4C2×D4×D5311yescharacteristic
1584C2×C4C2×D4×D5311yescharacteristic
1585C2×C4C2×D4×D5311yescharacteristic
1586C2×C4C24×D5311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1061no—
1592C8—1061no—
1593C8—1061no—
1594C8—1061no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—8482no—
1602C22—1061no—
1603C22—1061no—
1604C22—1061no—
1605C22—2121no—
1606C22—2121no—
1607C22—2121no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C22×D4×D5311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—1061no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—1061no—
1631C4—2121no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145811yescharacteristic
1638C4#1681145911yescharacteristic
1639C2—81no—
1640C2—81no—
1641C2—4241no—
1642C2—4241no—
1643C2—2121no—
1644C2#2028836811yescharacteristic
1645C2#2028948711yescharacteristic
1646C2#2028949811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3400C2
socleC22×C53C23×D4
prime radical#20285814C2
hypercenter#3400D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3400

Complements

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

NH ≅ G/Ntype
1. #20289199C2semidirect
2. #20288608C2semidirect
3. #20287791C2semidirect
4. #20287789C2semidirect
5. #20287788C2semidirect
6. #20287780C2semidirect
7. #20287742C2semidirect
8. #20287716C2semidirect
9. #20287702C2semidirect
10. #20287558C2semidirect
11. #20287544C2semidirect
12. #20287530C2semidirect
13. #20287476C2semidirect
14. #20287462C2semidirect
15. #20287450C2semidirect
16. #20287406C2semidirect
17. #20287401C2semidirect
18. #20285829C2semidirect
20. #20285793C2semidirect
21. #20285780C2semidirect
22. #20285713C2semidirect
23. #20285684C2semidirect
24. #20285013C2semidirect
25. #20284965C2semidirect
26. #20284950C2semidirect
27. #20284903C2semidirect
28. #20284828C2semidirect
29. #20284783C2semidirect
30. #20283808C2semidirect
31. C53×#3400C2semidirect
37. Q8×Dic106C22semidirect
38. #16811349C22semidirect
39. #16811349C22semidirect
40. #16811347C22semidirect
41. #16811347C22semidirect
42. #16811347C22semidirect
48. #16811333C22semidirect
75. #16811016C22semidirect
82. #16811004C22semidirect
83. #16811002C22semidirect
84. #16810992C22semidirect
89. #16810981C22semidirect
92. #16810977C22semidirect
94. #16810972C22semidirect
100. #16810931C22semidirect
101. #16810930C22semidirect
102. #16810929C22semidirect
105. #16810921C22semidirect
106. #16810917C22semidirect
108. #16810909C22semidirect
109. #16810906C22semidirect
110. #16810903C22semidirect
112. #16810848C22semidirect
113. #16810848C22semidirect
116. #16810847C22semidirect
123. #16810843C22semidirect
124. #16810843C22semidirect
127. #16810840C22semidirect
131. #16810835C22semidirect
132. #16810833C22semidirect
133. #16810831C22semidirect
134. #16810831C22semidirect
135. #16810830C22semidirect
136. #16810830C22semidirect
137. #16810829C22semidirect
154. #16810754C22semidirect
155. #16810752C22semidirect
156. #16810752C22semidirect
157. #16810751C22semidirect
158. #16810751C22semidirect
159. C8×Dic106C22semidirect
160. #16810747C22semidirect
162. #16810733C22semidirect
163. #16810730C22semidirect
164. #16810728C22semidirect
165. #16810728C22semidirect
166. #16810727C22semidirect
168. #16810725C22semidirect
170. #16810721C22semidirect
171. Q16×Dic53C22semidirect
172. #16810715C22semidirect
173. #16810715C22semidirect
174. #16810715C22semidirect
175. C4×#11719913C22semidirect
177. SD16×Dic53C22semidirect
178. SD16×Dic53C22semidirect
189. C53×#557C22semidirect
191. C53×#497C22semidirect
194. C53×#464C22semidirect
195. C53×#462C22semidirect
197. C53×#461C22semidirect
199. C53×#446C22semidirect
201. C53×#440C22semidirect
202. C4×Q16×C53C22semidirect
822. #3400D53semidirect
864. #557C2×D53semidirect
904. #497C2×D53semidirect
954. #464C2×D53semidirect
967. #462C2×D53semidirect
971. #461C2×D53semidirect
993. #446C2×D53semidirect
1007. #440C2×D53semidirect
1012. C4×Q16C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202891992
#202886082
#202877912
#202877892
#202877882
#202877802
#202877422
#202877162
#202877022
#202875582
#202875442
#202875302
#202874762
#202874622
#202874502
#202874062
#202874012
#202858292
#202858142
#202857932
#202857802
#202857132
#202856842
#202850132
#202849652
#202849502
#202849032
#202848282
#202847832
#202838082
C53×#34002
#6192553