Finite Group Databasebeta

← #28281030

Subgroups — #28281030

Order 13568.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289247C211yesmaximal, characteristic, complemented
2#20288734C211yesmaximal, characteristic, complemented
3#20287674C211yesmaximal, characteristic, complemented
4#20287673C211yesmaximal, characteristic, complemented
5#20287426C211yesmaximal, characteristic, complemented
6#20287419C211yesmaximal, characteristic, complemented
7#20287213C211yesmaximal, characteristic, complemented
8#20287210C211yesmaximal, characteristic, complemented
9#20287191C211yesmaximal, characteristic, complemented
10#20287187C211yesmaximal, characteristic, complemented
11#20287115C211yesmaximal, characteristic, complemented
12#20287111C211yesmaximal, characteristic, complemented
13#20286860C211yesmaximal, characteristic, complemented
14#20286857C211yesmaximal, characteristic, complemented
15#20286852C211yesmaximal, characteristic, complemented
16#20286528C211yesmaximal, characteristic, complemented
17#20286521C211yesmaximal, characteristic, complemented
18#20286152C211yesmaximal, characteristic, complemented
19#20286151C211yesmaximal, characteristic, complemented
20#20286021C211yesmaximal, characteristic, complemented
21#20285966C211yesmaximal, characteristic, complemented
22#20285963C211yesmaximal, characteristic, complemented
23#20285904C211yesmaximal, characteristic, complemented
24#20284957C211yesmaximal, characteristic, complemented
25#20284952C211yesmaximal, characteristic, complemented
26#20284801C211yesmaximal, characteristic, complemented
27#20284548C211yesmaximal, characteristic, complemented
28#20284545C211yesmaximal, characteristic, complemented
29C2×#16810925C211yesmaximal, characteristic, complemented
30#20283855C211yesmaximal, characteristic, complemented
31C53×#3318C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811370—21no—
34#16811337C2211yescharacteristic
35#16811332C2211yescharacteristic
36#16811330C2211yescharacteristic, complemented
37#16811329C2211yescharacteristic, complemented
38#16811325C2211yescharacteristic
39#16811325C2211yescharacteristic, complemented
40#16811321C2211yescharacteristic, complemented
41#16811319C2211yescharacteristic
42#16811317C2211yescharacteristic, complemented
43#16811316—21no—
44#16811293C2211yescharacteristic
45#16811277—21no—
46#16811277C2211yescharacteristic, complemented
47#16811273—21no—
48#16811273C2211yescharacteristic, complemented
49#16811267—21no—
50#16811260—21no—
51#16811260—21no—
52D4×C22⋊D53C2211yescharacteristic
53D4×C22⋊D53C2211yescharacteristic
54#16811253C2211yescharacteristic, complemented
55#16811251C2211yescharacteristic, complemented
56#16811227C2211yescharacteristic
57#16811226C2211yescharacteristic
58#16811226C2211yescharacteristic, complemented
59#16811224C2211yescharacteristic, complemented
60#16811217—21no—
61#16811215—21no—
62#16811214—21no—
63#16811210—21no—
64#16811208—21no—
65#16811200—21no—
66#16811168C2211yescharacteristic
67#16811168C2211yescharacteristic, complemented
68#16811153C2211yescharacteristic
69C2×#13133208C2211yescharacteristic, complemented
70#16811129—21no—
71C2×#13133189—21no—
72#16811098C2211yescharacteristic
73#16811095C2211yescharacteristic
74C2×D4×Dic53C2211yescharacteristic
75#16811032C2211yescharacteristic, complemented
76#16811031C2211yescharacteristic, complemented
77#16811030C2211yescharacteristic, complemented
78#16811030C2211yescharacteristic, complemented
79#16811023C2211yescharacteristic, complemented
80#16811022C2211yescharacteristic, complemented
81#16810986C2211yescharacteristic, complemented
82#16810986C2211yescharacteristic, complemented
83#16810986C2211yescharacteristic, complemented
84#16810969C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic, complemented
86#16810949C2211yescharacteristic, complemented
87#16810948C2211yescharacteristic, complemented
88#16810947C2211yescharacteristic, complemented
89#16810946C2211yescharacteristic, complemented
90#16810946C2211yescharacteristic, complemented
91#16810945C2211yescharacteristic, complemented
92#16810944C2211yescharacteristic, complemented
93#16810942C2211yescharacteristic, complemented
94#16810942C2211yescharacteristic, complemented
95#16810941C2211yescharacteristic, complemented
96#16810940C2211yescharacteristic, complemented
97#16810939C2211yescharacteristic, complemented
98#16810937C2211yescharacteristic, complemented
99#16810935C2211yescharacteristic, complemented
100#16810934C2211yescharacteristic, complemented
101#16810934C2211yescharacteristic, complemented
102#16810925C2211yescharacteristic
103#16810925C2211yescharacteristic
104#16810925C2211yescharacteristic
105#16810925C2211yescharacteristic
106#16810925C2211yescharacteristic, complemented
107#16810925C2211yescharacteristic, complemented
108#16810925C2211yescharacteristic, complemented
109#16810925C2211yescharacteristic, complemented
110#16810925C2211yescharacteristic, complemented
111#16810925C2211yescharacteristic, complemented
112#16810924C2211yescharacteristic, complemented
113#16810923C2211yescharacteristic, complemented
114#16810922C2211yescharacteristic, complemented
115#16810922C2211yescharacteristic, complemented
116#16810922C2211yescharacteristic, complemented
117#16810921C2211yescharacteristic
118#16810921C2211yescharacteristic, complemented
119#16810921C2211yescharacteristic, complemented
120#16810920C2211yescharacteristic, complemented
121#16810914C2211yescharacteristic, complemented
122#16810911C2211yescharacteristic
123#16810911C2211yescharacteristic, complemented
124#16810911C2211yescharacteristic, complemented
125#16810903C2211yescharacteristic
126#16810902C2211yescharacteristic, complemented
127#16810902C2211yescharacteristic, complemented
128#16810901C2211yescharacteristic
129#16810901C2211yescharacteristic, complemented
130#16810901C2211yescharacteristic, complemented
131#16810876C2211yescharacteristic, complemented
132#16810875C2211yescharacteristic, complemented
133#16810873C2211yescharacteristic, complemented
134#16810859C2211yescharacteristic, complemented
135#16810858C2211yescharacteristic, complemented
136#16810857C2211yescharacteristic, complemented
137#16810857C2211yescharacteristic, complemented
138#16810857C2211yescharacteristic, complemented
139#16810857C2211yescharacteristic, complemented
140#16810856C2211yescharacteristic, complemented
141#16810817C2211yescharacteristic, complemented
142#16810817C2211yescharacteristic, complemented
143#16810817C2211yescharacteristic, complemented
144#16810816C2211yescharacteristic
145#16810816C2211yescharacteristic, complemented
146#16810816C2211yescharacteristic, complemented
147#16810816C2211yescharacteristic, complemented
148#16810816C2211yescharacteristic, complemented
149#16810815C2211yescharacteristic, complemented
150#16810758C2211yescharacteristic
151#16810757C2211yescharacteristic
152#16810757C2211yescharacteristic
153#16810755C2211yescharacteristic
154#16810751C2211yescharacteristic, complemented
155#16810750C2211yescharacteristic, complemented
156#16810736C2211yescharacteristic, complemented
157#16810735C2211yescharacteristic
158#16810735C2211yescharacteristic, complemented
159#16810735C2211yescharacteristic, complemented
160#16810732C2211yescharacteristic
161#16810732C2211yescharacteristic
162#16810732C2211yescharacteristic, complemented
163D8×Dic53C2211yescharacteristic
164C4×#11719922C2211yescharacteristic
165C4×#11719922C2211yescharacteristic, complemented
166#16810703C2211yescharacteristic, complemented
167#16810694C2211yescharacteristic, complemented
168#16810692C2211yescharacteristic, complemented
169#16810691C2211yescharacteristic, complemented
170D4×#88322C2211yescharacteristic, complemented
171#16810686C2211yescharacteristic, complemented
172#16810685C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810677C2211yescharacteristic, complemented
175#16810665C2211yescharacteristic, complemented
176#16810664C2211yescharacteristic, complemented
177#16810659C2211yescharacteristic, complemented
178#16810658C2211yescharacteristic, complemented
179C2×#13133150C2211yescharacteristic, complemented
180C2×#13133149C2211yescharacteristic, complemented
181#16810651C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183C2×#13133146C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic
185C2×#13133138C2211yescharacteristic
186C2×#13133138C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#553C2211yescharacteristic, complemented
189D42×C53C2211yescharacteristic
190C53×#490C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#481C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic
194C53×#469C2211yescharacteristic, complemented
195C53×#466C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic, complemented
197C53×#447C2211yescharacteristic
198C53×#447C2211yescharacteristic
199C53×#442C2211yescharacteristic
200C53×#435C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic
202C2×#102×C53C2211yescharacteristic
203C2×#11719947—21no—
204C2×#11719947—21no—
205C2×#11719947—21no—
206C2×#11719947—21no—
207C2×#11719947—21no—
208C22×C22⋊D53—21no—
209C22×C22⋊D53—21no—
210C2×D4×D53C2311yescharacteristic
211C23×Dic53—21no—
212C2×D424C2311yescharacteristic
213C2×#11719922C2311yescharacteristic
214C2×#11719922C2311yescharacteristic
215C2×#11719922C2311yescharacteristic
216C2×#11719922C2311yescharacteristic
217C2×#11719912C2311yescharacteristic
218C22×#88322C2311yescharacteristic
219C22×#88322C2311yescharacteristic
220C2×C8×D53C2311yescharacteristic
221#13133217—21no—
222#13133217C2311yescharacteristic
223#13133216—21no—
224#13133216C2311yescharacteristic
225#13133216C2311yescharacteristic
226#13133216C2311yescharacteristic
227#13133213C2311yescharacteristic
228#13133213C2311yescharacteristic
229#13133213C2311yescharacteristic
230#13133212—21no—
231#13133212—21no—
232#13133212D411yescharacteristic
233#13133211—21no—
234#13133210—21no—
235#13133210—21no—
236#13133210D411yescharacteristic
237#13133209—21no—
238#13133209C2311yescharacteristic
239#13133208—21no—
240#13133208—21no—
241#13133208C2311yescharacteristic
242#13133208C2311yescharacteristic
243#13133208C2311yescharacteristic
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133207—21no—
248#13133207D411yescharacteristic
249#13133204—21no—
250#13133203—21no—
251#13133203—21no—
252#13133203—21no—
253#13133203D411yescharacteristic
254#13133202—21no—
255#13133201—21no—
256#13133201—21no—
257#13133201—21no—
258#13133201—21no—
259#13133201—21no—
260#13133201—21no—
261#13133201D411yescharacteristic
262#13133200—21no—
263#13133199—21no—
264#13133199—21no—
265#13133199—21no—
266#13133199—21no—
267#13133199—21no—
268#13133199—21no—
269#13133198—21no—
270#13133198—21no—
271#13133198—21no—
272#13133198D411yescharacteristic
273#13133197—21no—
274#13133197—21no—
275#13133197—21no—
276#13133196—21no—
277#13133196—21no—
278#13133195—21no—
279#13133195—21no—
280#13133195—21no—
281#13133194—21no—
282#13133194—21no—
283#13133194—21no—
284#13133194—21no—
285#13133194—21no—
286#13133194—21no—
287#13133194—21no—
288#13133194D411yescharacteristic
289#13133192C2311yescharacteristic
290#13133191—21no—
291#13133191—21no—
292#13133191C2311yescharacteristic
293#13133191C2311yescharacteristic
294#13133191C2311yescharacteristic
295#13133191C2311yescharacteristic
296#13133190—21no—
297#13133190—21no—
298#13133189—21no—
299#13133189—21no—
300#13133189—21no—
301#13133189—21no—
302#13133189—21no—
303#13133189—21no—
304#13133189—21no—
305#13133189—21no—
306#13133189—21no—
307#13133189—21no—
308#13133189—21no—
309#13133189—21no—
310#13133189—21no—
311#13133189—21no—
312#13133189D411yescharacteristic
313#13133188—21no—
314#13133188—21no—
315#13133188—21no—
316#13133188C2311yescharacteristic
317#13133188C2311yescharacteristic
318#13133188C2311yescharacteristic
319#13133186—21no—
320#13133186—21no—
321#13133185—21no—
322#13133185—21no—
323C4×Dic106C2311yescharacteristic
324C4×D212—21no—
325C4×D212C2311yescharacteristic
326C4×D212C2311yescharacteristic
327D4×Dic53—21no—
328D4×Dic53—21no—
329D4×Dic53—21no—
330D4×Dic53—21no—
331D4×Dic53—21no—
332D4×Dic53—21no—
333D4×Dic53C2311yescharacteristic
334D4×Dic53C2311yescharacteristic
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340D4×Dic53C2311yescharacteristic
341D4×Dic53C2311yescharacteristic
342#13133179C2311yescharacteristic
343#13133179C2311yescharacteristic
344#13133179C2311yescharacteristic
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53C2311yescharacteristic
348C4×C22⋊D53C2311yescharacteristic
349#13133177—21no—
350#13133177—21no—
351#13133177—21no—
352#13133177—21no—
353#13133176C2311yescharacteristic
354#13133176C2311yescharacteristic
355#13133175C2311yescharacteristic
356#13133175C2311yescharacteristic
357#13133174C2311yescharacteristic
358#13133173—21no—
359C2×C4⋊Dic53—21no—
360C2×C4⋊Dic53—21no—
361C2×C4⋊Dic53C2311yescharacteristic
362C2×C4⋊Dic53C2311yescharacteristic
363C2×C4⋊Dic53C2311yescharacteristic
364C2×#11719919—21no—
365C2×#11719919—21no—
366C4⋊C4×D53—21no—
367C4⋊C4×D53C2311yescharacteristic
368C2×C22⋊Dic53—21no—
369C2×C22⋊Dic53—21no—
370C2×C22⋊Dic53—21no—
371C2×#11719921—21no—
372C22⋊C4×D53—21no—
373C2×C4×Dic53C2311yescharacteristic
374#13133151C2311yescharacteristic
375#13133151C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133150C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133149C2311yescharacteristic
390#13133149C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133139C2311yescharacteristic
405#13133139C2311yescharacteristic
406#13133139C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133138C2311yescharacteristic
411#13133138C2311yescharacteristic
412#13133138C2311yescharacteristic
413#13133138C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433C4×#88322C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×D4×C53—21no—
436C22×D4×C53C2311yescharacteristic
437C22×D4×C53C2311yescharacteristic
438C2×D8×C53C2311yescharacteristic
439C2×D8×C53C2311yescharacteristic
440C2×D8×C53C2311yescharacteristic
441C2×M16×C53C2311yescharacteristic
442C22×C8×C53C2311yescharacteristic
443#127×C53C2311yescharacteristic
444#126×C53—21no—
445#125×C53C2311yescharacteristic
446#123×C53—21no—
447#121×C53—21no—
448#121×C53—21no—
449#121×C53C2311yescharacteristic
450#121×C53C2311yescharacteristic
451#121×C53C2311yescharacteristic
452#121×C53C2311yescharacteristic
453#120×C53—21no—
454#120×C53—21no—
455C4×D4×C53—21no—
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459#117×C53C2311yescharacteristic
460C2×C4⋊C4×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465#102×C53C2311yescharacteristic
466#102×C53C2311yescharacteristic
467#102×C53C2311yescharacteristic
468#102×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477#97×C53C2311yescharacteristic
478C24×C53—21no—
479C24×C53—21no—
480C23×D53—21no—
481C2×D4×C53—22no—
482C2×D4×C53—22no—
483C2×D4×C53—21no—
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—41no—
492C2×D4×C53—41no—
493C2×D4×C53—82no—
494C2×D4×C53C2×D411yescharacteristic
495C2×D4×C53C2411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C2×D4×C53C2411yescharacteristic
498C2×D4×C53C2411yescharacteristic
499C22×C4×C53—21no—
500C22×C4×C53—21no—
501C22×C4×C53—21no—
502C22×C4×C53C2411yescharacteristic
503C22×C4×C53C2411yescharacteristic
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—82no—
519C2×C22⋊D53—82no—
520C2×C22⋊D53C2×D411yescharacteristic
521C2×C22⋊D53C2×D411yescharacteristic
522C22×Dic53—21no—
523C22×Dic53—21no—
524C22×Dic53—21no—
525C22×Dic53—21no—
526C22×Dic53—21no—
527C22×Dic53—21no—
528C22×Dic53—21no—
529C22×Dic53—21no—
530C22×Dic53—21no—
531C22×Dic53—21no—
532C22×Dic53—21no—
533C22×Dic53—21no—
534C22×Dic53—82no—
535C22×Dic53C2×D411yescharacteristic
536C22×Dic53C2×D411yescharacteristic
537#11719947—82no—
538#11719947—82no—
539#11719947—82no—
540#11719947—82no—
541#11719947—82no—
542D4×D53—22no—
543D4×D53—41no—
544C2×D212—21no—
545C2×D212C2411yescharacteristic
546C2×D212C2411yescharacteristic
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53C2411yescharacteristic
554C2×Dic106—21no—
555C2×Dic106—21no—
556C2×Dic106—21no—
557C2×Dic106—21no—
558C2×Dic106C2×D411yescharacteristic
559D8×C53—22no—
560D8×C53—41no—
561D8×C53—41no—
562M16×C53—41no—
563C2×C8×C53—41no—
564C2×C8×C53C2411yescharacteristic
565C2×C8×C53C2411yescharacteristic
566C2×C8×C53C2411yescharacteristic
567C2×C8×C53C2411yescharacteristic
568C4⋊C4×C53—21no—
569C4⋊C4×C53—21no—
570C4⋊C4×C53—21no—
571C4⋊C4×C53C2×D411yescharacteristic
572C4⋊C4×C53C2411yescharacteristic
573C4⋊C4×C53C2411yescharacteristic
574C4⋊C4×C53C2411yescharacteristic
575C4⋊C4×C53C2411yescharacteristic
576C22⋊C4×C53—21no—
577C22⋊C4×C53—21no—
578C22⋊C4×C53—21no—
579C22⋊C4×C53—21no—
580C22⋊C4×C53—21no—
581C22⋊C4×C53—21no—
582C22⋊C4×C53—21no—
583C22⋊C4×C53C2×D411yescharacteristic
584C22⋊C4×C53C2×D411yescharacteristic
585C42×C53—21no—
586C42×C53C2411yescharacteristic
587C22⋊Dic53—21no—
588C22⋊Dic53—21no—
589C22⋊Dic53—21no—
590C22⋊Dic53—21no—
591C22⋊Dic53—21no—
592C22⋊Dic53—21no—
593C22⋊Dic53—21no—
594C22⋊Dic53—21no—
595C22⋊Dic53—21no—
596C22⋊Dic53—21no—
597C22⋊Dic53—21no—
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53C2×D411yescharacteristic
601C22⋊Dic53C2×D411yescharacteristic
602C22⋊Dic53C2×D411yescharacteristic
603C22⋊Dic53C2×D411yescharacteristic
604#11719922—22no—
605#11719922—41no—
606#11719922—41no—
607#11719922—41no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612#11719921—21no—
613#11719921—21no—
614#11719921—21no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921C2×D411yescharacteristic
621#11719921C2×D411yescharacteristic
622#11719921C2×D411yescharacteristic
623#11719921C2×D411yescharacteristic
624C4⋊Dic53—21no—
625C4⋊Dic53—21no—
626C4⋊Dic53—21no—
627C4⋊Dic53—21no—
628C4⋊Dic53—21no—
629C4⋊Dic53—21no—
630C4⋊Dic53—21no—
631C4⋊Dic53—21no—
632C4⋊Dic53—21no—
633C4⋊Dic53—21no—
634C4⋊Dic53C2×D411yescharacteristic
635C4⋊Dic53C2×D411yescharacteristic
636C4⋊Dic53C2×D411yescharacteristic
637C4⋊Dic53C2411yescharacteristic
638C4⋊Dic53C2411yescharacteristic
639C4⋊Dic53C2411yescharacteristic
640C4⋊Dic53C2411yescharacteristic
641C4⋊Dic53C2411yescharacteristic
642C4⋊Dic53C2411yescharacteristic
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919C2×D411yescharacteristic
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658#11719919C2×D411yescharacteristic
659#11719919C2×D411yescharacteristic
660#11719919C2×D411yescharacteristic
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53C2×D411yescharacteristic
665C4×Dic53C2×D411yescharacteristic
666C4×Dic53C2411yescharacteristic
667C4×Dic53C2411yescharacteristic
668C4×Dic53C2411yescharacteristic
669C2×#88322—41no—
670C2×#88322—41no—
671C2×#88322C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675D424—41no—
676#11719912—41no—
677C8×D53—41no—
678C23×C53—21no—
679C23×C53—21no—
680C23×C53—21no—
681C23×C53—21no—
682C23×C53—42no—
683C23×C53—42no—
684C23×C53—42no—
685C23×C53—81no—
686C23×C53—81no—
687C23×C53—81no—
688C23×C53C22×D411yescharacteristic
689C23×C53C22×D411yescharacteristic
690C22×D53—21no—
691C22×D53—21no—
692C22×D53—42no—
693C22×D53—81no—
694C22×D53—81no—
695C22×D53C22×D411yescharacteristic
696D4×C53—22no—
697D4×C53—21no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—21no—
701D4×C53—21no—
702D4×C53—21no—
703D4×C53—21no—
704D4×C53—42no—
705D4×C53—42no—
706D4×C53—42no—
707D4×C53—42no—
708D4×C53—81no—
709D4×C53—81no—
710D4×C53—81no—
711D4×C53—81no—
712D4×C532−1+412yes—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—21no—
716C2×C4×C53—21no—
717C2×C4×C53—21no—
718C2×C4×C53—21no—
719C2×C4×C53—21no—
720C2×C4×C53—21no—
721C2×C4×C53—81no—
722C2×C4×C53—81no—
723C2×C4×C53—81no—
724C2×C4×C53C22×D411yescharacteristic
725C2×C4×C53C22×D411yescharacteristic
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C22×D411yescharacteristic
728C2×C4×C53C2511yescharacteristic
729C22⋊D53—22no—
730C22⋊D53—41no—
731C22⋊D53—42no—
732C22⋊D53—42no—
733C22⋊D53—42no—
734C22⋊D53—42no—
735C22⋊D53—81no—
736C22⋊D53—81no—
737C22⋊D53—81no—
738C22⋊D53—81no—
739C22⋊D53—81no—
740C22⋊D53—81no—
741C22⋊D53—81no—
742C22⋊D53—81no—
743C22⋊D53—81no—
744C22⋊D53—81no—
745C2×Dic53—22no—
746C2×Dic53—21no—
747C2×Dic53—21no—
748C2×Dic53—21no—
749C2×Dic53—21no—
750C2×Dic53—21no—
751C2×Dic53—21no—
752C2×Dic53—41no—
753C2×Dic53—42no—
754C2×Dic53—42no—
755C2×Dic53—42no—
756C2×Dic53—81no—
757C2×Dic53—81no—
758C2×Dic53—81no—
759C2×Dic53—81no—
760C2×Dic53—81no—
761C2×Dic53—81no—
762C2×Dic53—81no—
763C2×Dic53—81no—
764C2×Dic53—81no—
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769C2×Dic53C22×D411yescharacteristic
770C2×Dic53C22×D411yescharacteristic
771C2×Dic53C22×D411yescharacteristic
772D212—21no—
773D212—21no—
774D212—21no—
775D212—21no—
776D212—81no—
777C4×D53—21no—
778C4×D53—21no—
779C4×D53—81no—
780C4×D53—81no—
781C4×D53—81no—
782C4×D53—81no—
783C4×D53—81no—
784C4×D53—81no—
785Dic106—41no—
786Dic106—81no—
787Dic106—81no—
788Dic106—81no—
789Dic106—81no—
790C8×C53—21no—
791C8×C53—21no—
792C8×C53—21no—
793C8×C53—21no—
794#88322—21no—
795#88322—21no—
796#88322—21no—
797#88322—21no—
798#62163—531nomaximal, Sylow
799C22×C53—21no—
800C22×C53—21no—
801C22×C53—21no—
802C22×C53—22no—
803C22×C53—21no—
804C22×C53—21no—
805C22×C53—41no—
806C22×C53—41no—
807C22×C53—41no—
808C22×C53—41no—
809C22×C53—41no—
810C22×C53—41no—
811C22×C53—41no—
812C22×C53—41no—
813C22×C53—41no—
814C22×C53—41no—
815C22×C53—41no—
816C22×C53—84no—
817C22×C53—162no—
818C22×C53#57612yes—
819C22×C53C23×D411yescharacteristic
820C2×D53—21no—
821C2×D53—21no—
822C2×D53—21no—
823C2×D53—41no—
824C2×D53—41no—
825C2×D53—41no—
826C2×D53—41no—
827C2×D53—41no—
828C2×D53—41no—
829C2×D53—162no—
830C4×C53—21no—
831C4×C53—21no—
832C4×C53—21no—
833C4×C53—21no—
834C4×C53—41no—
835C4×C53—41no—
836C4×C53—41no—
837C4×C53—41no—
838C4×C53C2×2−1+411yescharacteristic
839C4×C53#58511yescharacteristic
840Dic53—21no—
841Dic53—21no—
842Dic53—21no—
843Dic53—21no—
844Dic53—21no—
845Dic53—21no—
846Dic53—21no—
847Dic53—41no—
848Dic53—41no—
849Dic53—41no—
850Dic53—41no—
851Dic53—41no—
852Dic53—41no—
853#3559—531no—
854#3519—531no—
855#3389—531no—
856#3389—531no—
857#3366—531no—
858#3366—531no—
859#3347—531no—
860#3347—531no—
861#3345—531no—
862#3345—531no—
863#3339—531no—
864#3339—531no—
865#3318—531no—
866#3318—531no—
867#3318—531no—
868#3318D5311yescharacteristic, complemented
869#3294—531no—
870#3294—531no—
871#3259—531no—
872#3259—531no—
873#3245—531no—
874#3241—531no—
875#3241—531no—
876#3234—531no—
877#3122—531no—
878#3122—531no—
879#3109—531no—
880#3081—531no—
881#3081—531no—
882C2×#478—531no—
883#2992—531no—
884C2×C53—22no—
885C2×C53—42no—
886C2×C53—41no—
887C2×C53—81no—
888C2×C53—81no—
889C2×C53—81no—
890C2×C53#348911yescharacteristic
891C2×C53C2×#57611yescharacteristic
892C2×C53#358511yescharacteristic
893D53—41no—
894D53—81no—
895D53—81no—
896#563—1061no—
897#562—1061no—
898#555—531no—
899#554—531no—
900#554—531no—
901#554—531no—
902#553—531no—
903#553—531no—
904#553—531no—
905#553—531no—
906#553—531no—
907#553—1061no—
908#553C2×D5311yescharacteristic, complemented
909#550—531no—
910#547—531no—
911#547—531no—
912#547—1061no—
913#547—1061no—
914#546—1061no—
915#546—1061no—
916#546—1061no—
917D42—531no—
918D42—531no—
919D42C2×D5311yescharacteristic
920#544—531no—
921#544—531no—
922#540—531no—
923#540—531no—
924#540—531no—
925#540—531no—
926#539—1061no—
927#539—1061no—
928#539—1061no—
929#538—1061no—
930#538—1061no—
931#537—1061no—
932#532—531no—
933#532—531no—
934#529—531no—
935C2×#125—531no—
936#525—1061no—
937C2×#121—1061no—
938#518—531no—
939#518—531no—
940C2×C4×D4—531no—
941#501—531no—
942#501—531no—
943#501—531no—
944#501—531no—
945#499—531no—
946#499—531no—
947#490—531no—
948#490—531no—
949#490—531no—
950#490C2×D5311yescharacteristic, complemented
951#486—531no—
952#486—531no—
953#482—531no—
954#482—531no—
955#482—531no—
956#482—531no—
957#482—531no—
958#482—531no—
959#482—531no—
960#482C2×D5311yescharacteristic, complemented
961#481—531no—
962#481—531no—
963#481—531no—
964#481—531no—
965#481—531no—
966#481C2×D5311yescharacteristic, complemented
967#480—531no—
968#480—531no—
969#480—531no—
970#480—531no—
971#478—531no—
972#478—531no—
973#478—531no—
974#478—531no—
975#478—531no—
976#478—531no—
977#478—531no—
978#478—531no—
979#478—531no—
980#478—531no—
981#478—531no—
982#478—531no—
983#478—531no—
984#478—531no—
985#478—531no—
986#478—531no—
987#478—531no—
988#478—531no—
989#478—531no—
990#478C2×D5311yescharacteristic
991#476—531no—
992#476—531no—
993#476—531no—
994#476—531no—
995#474—531no—
996#474—531no—
997#474—531no—
998#474—531no—
999#474—531no—
1000#474—531no—
1001#469—531no—
1002#469—531no—
1003#469—531no—
1004#469C2×D5311yescharacteristic, complemented
1005#466—531no—
1006#466—531no—
1007#466—531no—
1008#466—531no—
1009#466—531no—
1010#466—531no—
1011#466—531no—
1012#466C2×D5311yescharacteristic, complemented
1013#459—531no—
1014#459—531no—
1015#459—531no—
1016#459—531no—
1017#459—531no—
1018#459—531no—
1019#459—531no—
1020#459—531no—
1021#459—531no—
1022#459C2×D5311yescharacteristic, complemented
1023#447—531no—
1024#447—531no—
1025#447—531no—
1026#447—531no—
1027#447C2×D5311yescharacteristic
1028#447C2×D5311yescharacteristic
1029#446—531no—
1030#446—531no—
1031#442—531no—
1032#442—531no—
1033#442—531no—
1034#442—531no—
1035#442—531no—
1036#442—531no—
1037#442—531no—
1038#442C2×D5311yescharacteristic
1039C4×D8—531no—
1040C4×D8—531no—
1041C4×D8—531no—
1042C4×D8—531no—
1043#435—531no—
1044#435—531no—
1045#435—531no—
1046#435C2×D5311yescharacteristic, complemented
1047C8×D4—531no—
1048C8×D4—531no—
1049#433—531no—
1050#433—531no—
1051#432—531no—
1052#428—531no—
1053#428—531no—
1054#427—531no—
1055#427—531no—
1056C2×#107—531no—
1057C2×#106—531no—
1058#424—531no—
1059#424—531no—
1060C2×C4⋊C8—531no—
1061#418—531no—
1062#418C2×D5311yescharacteristic
1063C2×#102—531no—
1064C2×#102—531no—
1065C2×#102—531no—
1066C2×#102C2×D5311yescharacteristic
1067C53#6216311yescharacteristic, complemented, Sylow
1068C2×#41—1061no—
1069C2×#41—1061no—
1070C2×#41—1061no—
1071C2×#41—1061no—
1072C2×#41—1061no—
1073C22×D4—21no—
1074C22×D4—531no—
1075C22×D4—1061no—
1076C22×D4—1061no—
1077C22×D4C22×D5311yescharacteristic
1078C22×D4C22×D5311yescharacteristic
1079C23×C4—1061no—
1080C2×D8—531no—
1081C2×D8—531no—
1082C2×D8—531no—
1083C2×D8—531no—
1084C2×D8—531no—
1085C2×D8C22×D5311yescharacteristic
1086C2×D8C22×D5311yescharacteristic
1087C2×D8C22×D5311yescharacteristic
1088C2×M16—531no—
1089C2×M16C22×D5311yescharacteristic
1090C22×C8—531no—
1091C22×C8—531no—
1092C22×C8—531no—
1093C22×C8C22×D5311yescharacteristic
1094C4⋊Q8—531no—
1095C4⋊Q8—531no—
1096C4⋊Q8—531no—
1097C4⋊Q8—531no—
1098C4⋊Q8—1061no—
1099C4⋊Q8—1061no—
1100#127—531no—
1101#127—531no—
1102#127—531no—
1103#127C22×D5311yescharacteristic
1104#126—21no—
1105#126—531no—
1106#126—531no—
1107#126—1061no—
1108#126—1061no—
1109#126—1061no—
1110#126—1061no—
1111#126—1061no—
1112#125—531no—
1113#125—531no—
1114#125—531no—
1115#125—531no—
1116#125—531no—
1117#125—531no—
1118#125—531no—
1119#125—531no—
1120#125—1061no—
1121#125—1061no—
1122#125—1061no—
1123#125—1061no—
1124#125C22×D5311yescharacteristic
1125#124—531no—
1126#124—1061no—
1127#124—1061no—
1128#124—1061no—
1129#124—1061no—
1130#123—21no—
1131#123—531no—
1132#123—531no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147#123—1061no—
1148#123—1061no—
1149#123—1061no—
1150C22⋊Q8—531no—
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—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8—1061no—
1166#121—21no—
1167#121—21no—
1168#121—531no—
1169#121—531no—
1170#121—531no—
1171#121—531no—
1172#121—531no—
1173#121—531no—
1174#121—531no—
1175#121—531no—
1176#121—531no—
1177#121—1061no—
1178#121—1061no—
1179#121—1061no—
1180#121—1061no—
1181#121—1061no—
1182#121—1061no—
1183#121—1061no—
1184#121—1061no—
1185#121—1061no—
1186#121—1061no—
1187#121—1061no—
1188#121—1061no—
1189#121—1061no—
1190#121—1061no—
1191#121—1061no—
1192#121—1061no—
1193#121—1061no—
1194#121—1061no—
1195#121—1061no—
1196#121—1061no—
1197#121—1061no—
1198#121C22×D5311yescharacteristic
1199#121C22×D5311yescharacteristic
1200#121C22×D5311yescharacteristic
1201#121C22×D5311yescharacteristic
1202#120—21no—
1203#120—21no—
1204#120—1061no—
1205#120—1061no—
1206#120—1061no—
1207#120—1061no—
1208C4×Q8—531no—
1209C4×D4—21no—
1210C4×D4—531no—
1211C4×D4—531no—
1212C4×D4—531no—
1213C4×D4—531no—
1214C4×D4—531no—
1215C4×D4—531no—
1216C4×D4—531no—
1217C4×D4—531no—
1218C4×D4—531no—
1219C4×D4—531no—
1220C4×D4—531no—
1221C4×D4—531no—
1222C4×D4—531no—
1223C4×D4—531no—
1224C4×D4—531no—
1225C4×D4—531no—
1226C4×D4—1061no—
1227C4×D4—1061no—
1228C4×D4—1061no—
1229C4×D4—1061no—
1230C4×D4—1061no—
1231C4×D4—1061no—
1232C4×D4—1061no—
1233C4×D4—1061no—
1234C4×D4—1061no—
1235C4×D4—1061no—
1236C4×D4—1061no—
1237C4×D4—1061no—
1238C4×D4—1061no—
1239C4×D4C22×D5311yescharacteristic
1240C4×D4C22×D5311yescharacteristic
1241C4×D4C22×D5311yescharacteristic
1242#117—531no—
1243#117—531no—
1244#117—531no—
1245#117—531no—
1246#117—531no—
1247#117—1061no—
1248#117C22×D5311yescharacteristic
1249C2×C4⋊C4—531no—
1250C2×C4⋊C4—531no—
1251C2×C4⋊C4—531no—
1252C2×C4⋊C4—531no—
1253C2×C4⋊C4—1061no—
1254C2×C4⋊C4—1061no—
1255C2×C4⋊C4—1061no—
1256C2×C4⋊C4—1061no—
1257C2×C4⋊C4—1061no—
1258C2×C4⋊C4C22×D5311yescharacteristic
1259C2×C22⋊C4—1061no—
1260C2×C22⋊C4—1061no—
1261C2×C22⋊C4—1061no—
1262C2×C22⋊C4—1061no—
1263C2×C22⋊C4—1061no—
1264C2×C42—531no—
1265#107—531no—
1266#107—531no—
1267#107—531no—
1268#107—531no—
1269#107—531no—
1270#107—531no—
1271#107—531no—
1272#107—531no—
1273#107—531no—
1274#107—531no—
1275#107—531no—
1276#107C22×D5311yescharacteristic
1277#106—531no—
1278#106—531no—
1279#106—531no—
1280#106—531no—
1281#106—531no—
1282#106—531no—
1283#106—531no—
1284#106—531no—
1285#106—531no—
1286#106—531no—
1287#106C22×D5311yescharacteristic
1288#106C22×D5311yescharacteristic
1289C4⋊C8—531no—
1290C4⋊C8—531no—
1291C4⋊C8—531no—
1292C4⋊C8—531no—
1293C4⋊C8—531no—
1294C4⋊C8—531no—
1295C4⋊C8—531no—
1296C4⋊C8—531no—
1297C4⋊C8—531no—
1298C4⋊C8C22×D5311yescharacteristic
1299#102—531no—
1300#102—531no—
1301#102—531no—
1302#102—531no—
1303#102—531no—
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102—531no—
1308#102—531no—
1309#102—531no—
1310#102—531no—
1311#102—531no—
1312#102—531no—
1313#102—531no—
1314#102—531no—
1315#102—531no—
1316#102—531no—
1317#102—531no—
1318#102—531no—
1319#102—531no—
1320#102—531no—
1321#102C22×D5311yescharacteristic
1322#102C22×D5311yescharacteristic
1323#102C22×D5311yescharacteristic
1324#102C22×D5311yescharacteristic
1325#102C22×D5311yescharacteristic
1326#102C22×D5311yescharacteristic
1327#102C22×D5311yescharacteristic
1328#102C22×D5311yescharacteristic
1329#102C22×D5311yescharacteristic
1330#102C22×D5311yescharacteristic
1331C22⋊C8—531no—
1332C22⋊C8—531no—
1333C22⋊C8—531no—
1334C22⋊C8—531no—
1335C22⋊C8C22×D5311yescharacteristic
1336C22⋊C8C22×D5311yescharacteristic
1337#97—531no—
1338#97—531no—
1339#97—531no—
1340#97C22×D5311yescharacteristic
1341C4×C8—531no—
1342C4×C8—531no—
1343C24—21no—
1344C24—21no—
1345C24—1061no—
1346#41—4242no—
1347#41—4242no—
1348#41—4242no—
1349#41—4242no—
1350#41—4242no—
1351C2×Q8—531no—
1352C2×Q8—1061no—
1353C2×Q8—1061no—
1354C2×Q8—1061no—
1355C2×Q8—1061no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—82no—
1369C2×D4—531no—
1370C2×D4—531no—
1371C2×D4—531no—
1372C2×D4—531no—
1373C2×D4—1061no—
1374C2×D4—1061no—
1375C2×D4—1061no—
1376C2×D4—1061no—
1377C2×D4—1061no—
1378C2×D4—1061no—
1379C2×D4—1061no—
1380C2×D4—1061no—
1381C2×D4—1062no—
1382C2×D4—1061no—
1383C2×D4—1061no—
1384C2×D4—1061no—
1385C2×D4—1061no—
1386C2×D4—1061no—
1387C2×D4—1061no—
1388C2×D4—1061no—
1389C2×D4—4242no—
1390C2×D4—4242no—
1391C2×D4—2121no—
1392C2×D4D4×D5311yescharacteristic
1393C2×D4C23×D5311yescharacteristic
1394C2×D4C23×D5311yescharacteristic
1395C2×D4C23×D5311yescharacteristic
1396C2×D4C23×D5311yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—531no—
1401C22×C4—531no—
1402C22×C4—531no—
1403C22×C4—1061no—
1404C22×C4—1061no—
1405C22×C4—1061no—
1406C22×C4—1061no—
1407C22×C4—1061no—
1408C22×C4—1061no—
1409C22×C4—1061no—
1410C22×C4—1061no—
1411C22×C4—1061no—
1412C22×C4—1061no—
1413C22×C4—1061no—
1414C22×C4—1061no—
1415C22×C4—1061no—
1416C22×C4—1061no—
1417C22×C4—1061no—
1418C22×C4—1061no—
1419C22×C4—1061no—
1420C22×C4—1061no—
1421C22×C4—4242no—
1422C22×C4C23×D5311yescharacteristic
1423C22×C4C23×D5311yescharacteristic
1424D8—22no—
1425D8—41no—
1426D8—41no—
1427D8—1062no—
1428D8—2121no—
1429D8—2121no—
1430D8—2121no—
1431D8—2121no—
1432M16—41no—
1433M16—2121no—
1434C2×C8—41no—
1435C2×C8—531no—
1436C2×C8—531no—
1437C2×C8—531no—
1438C2×C8—531no—
1439C2×C8—2121no—
1440C2×C8—2121no—
1441C2×C8—2121no—
1442C2×C8C23×D5311yescharacteristic
1443C2×C8C23×D5311yescharacteristic
1444C2×C8C23×D5311yescharacteristic
1445C2×C8C23×D5311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—531no—
1450C4⋊C4—531no—
1451C4⋊C4—531no—
1452C4⋊C4—531no—
1453C4⋊C4—531no—
1454C4⋊C4—531no—
1455C4⋊C4—531no—
1456C4⋊C4—531no—
1457C4⋊C4—531no—
1458C4⋊C4—531no—
1459C4⋊C4—531no—
1460C4⋊C4—531no—
1461C4⋊C4—531no—
1462C4⋊C4—531no—
1463C4⋊C4—531no—
1464C4⋊C4—1061no—
1465C4⋊C4—1061no—
1466C4⋊C4—1061no—
1467C4⋊C4—1061no—
1468C4⋊C4—1061no—
1469C4⋊C4—1061no—
1470C4⋊C4—1061no—
1471C4⋊C4—1061no—
1472C4⋊C4—1061no—
1473C4⋊C4—1061no—
1474C4⋊C4—1061no—
1475C4⋊C4—1061no—
1476C4⋊C4—1061no—
1477C4⋊C4—1061no—
1478C4⋊C4—1061no—
1479C4⋊C4—1061no—
1480C4⋊C4—1061no—
1481C4⋊C4—1061no—
1482C4⋊C4—1061no—
1483C4⋊C4—1061no—
1484C4⋊C4—1061no—
1485C4⋊C4—1061no—
1486C4⋊C4D4×D5311yescharacteristic
1487C4⋊C4C23×D5311yescharacteristic
1488C4⋊C4C23×D5311yescharacteristic
1489C4⋊C4C23×D5311yescharacteristic
1490C4⋊C4C23×D5311yescharacteristic
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—531no—
1499C22⋊C4—531no—
1500C22⋊C4—531no—
1501C22⋊C4—531no—
1502C22⋊C4—531no—
1503C22⋊C4—531no—
1504C22⋊C4—531no—
1505C22⋊C4—531no—
1506C22⋊C4—1061no—
1507C22⋊C4—1061no—
1508C22⋊C4—1061no—
1509C22⋊C4—1061no—
1510C22⋊C4—1061no—
1511C22⋊C4—1061no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4—1061no—
1516C22⋊C4—1061no—
1517C22⋊C4—1061no—
1518C22⋊C4—1061no—
1519C22⋊C4—1061no—
1520C22⋊C4—1061no—
1521C22⋊C4—1061no—
1522C22⋊C4—1061no—
1523C22⋊C4—1061no—
1524C22⋊C4—1061no—
1525C22⋊C4—1061no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4D4×D5311yescharacteristic
1532C22⋊C4D4×D5311yescharacteristic
1533C42—21no—
1534C42—531no—
1535C42—531no—
1536C42—531no—
1537C42—531no—
1538C42—531no—
1539C42—1061no—
1540C42—1061no—
1541C42—1061no—
1542C42C23×D5311yescharacteristic
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—81no—
1552C23—81no—
1553C23—531no—
1554C23—1061no—
1555C23—1061no—
1556C23—4241no—
1557C23—4241no—
1558C23—2122no—
1559C23C2×D4×D5311yescharacteristic
1560C23C2×D4×D5311yescharacteristic
1561Q8—4241no—
1562Q8—4241no—
1563Q8—4241no—
1564Q8—4241no—
1565Q8—2121no—
1566D4—22no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—1062no—
1583D4—1061no—
1584D4—1061no—
1585D4—1061no—
1586D4—1061no—
1587D4—4241no—
1588D4—4241no—
1589D4—4241no—
1590D4—4241no—
1591D4—4241no—
1592D4—4241no—
1593D4—4241no—
1594D4—4241no—
1595D4—4241no—
1596D4—4241no—
1597D4—4241no—
1598D4—2121no—
1599D4—2122no—
1600D4—2122no—
1601D4—2122no—
1602D4—2122no—
1603D4#1313326412yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—531no—
1616C2×C4—531no—
1617C2×C4—531no—
1618C2×C4—531no—
1619C2×C4—531no—
1620C2×C4—531no—
1621C2×C4—531no—
1622C2×C4—1062no—
1623C2×C4—1061no—
1624C2×C4—1061no—
1625C2×C4—1061no—
1626C2×C4—1061no—
1627C2×C4—1061no—
1628C2×C4—1061no—
1629C2×C4—1061no—
1630C2×C4—1061no—
1631C2×C4—4241no—
1632C2×C4—4241no—
1633C2×C4—4241no—
1634C2×C4—4241no—
1635C2×C4—4241no—
1636C2×C4—4241no—
1637C2×C4—4241no—
1638C2×C4—4241no—
1639C2×C4—4241no—
1640C2×C4—4241no—
1641C2×C4—4241no—
1642C2×C4—4241no—
1643C2×C4—4241no—
1644C2×C4—4241no—
1645C2×C4—4241no—
1646C2×C4—2121no—
1647C2×C4—2122no—
1648C2×C4—2122no—
1649C2×C4—2122no—
1650C2×C4C2×D4×D5311yescharacteristic
1651C2×C4C2×D4×D5311yescharacteristic
1652C2×C4C2×D4×D5311yescharacteristic
1653C2×C4C2×D4×D5311yescharacteristic
1654C2×C4C24×D5311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—1061no—
1660C8—1061no—
1661C8—1061no—
1662C8—1061no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—22no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—84no—
1681C22—162no—
1682C22—8482no—
1683C22—1061no—
1684C22—1061no—
1685C22—1061no—
1686C22—2121no—
1687C22—2121no—
1688C22—2121no—
1689C22—2121no—
1690C22—2121no—
1691C22—2121no—
1692C22#1681142712yes—
1693C22C22×D4×D5311yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—1061no—
1703C4—1061no—
1704C4—1061no—
1705C4—1061no—
1706C4—1061no—
1707C4—1061no—
1708C4—1061no—
1709C4—2121no—
1710C4—2121no—
1711C4—2121no—
1712C4—2121no—
1713C4—2121no—
1714C4—2121no—
1715C4C2×#1313326411yescharacteristic
1716C4#1681145811yescharacteristic
1717C2—22no—
1718C2—41no—
1719C2—42no—
1720C2—81no—
1721C2—81no—
1722C2—81no—
1723C2—4241no—
1724C2—4241no—
1725C2—2121no—
1726C2#2028838611yescharacteristic
1727C2C2×#1681142711yescharacteristic
1728C2#2028949011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3318C2
socleC22×C53C23×D4
hypercenter#3318D53
hypocenterC53#62163
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #20289247C2semidirect
2. #20288734C2semidirect
3. #20287674C2semidirect
4. #20287673C2semidirect
5. #20287426C2semidirect
6. #20287419C2semidirect
7. #20287213C2semidirect
8. #20287210C2semidirect
9. #20287191C2semidirect
10. #20287187C2semidirect
11. #20287115C2semidirect
12. #20287111C2semidirect
13. #20286860C2semidirect
14. #20286857C2semidirect
15. #20286852C2semidirect
16. #20286528C2semidirect
17. #20286521C2semidirect
18. #20286152C2semidirect
19. #20286151C2semidirect
20. #20286021C2semidirect
21. #20285966C2semidirect
22. #20285963C2semidirect
23. #20285904C2semidirect
24. #20284957C2semidirect
25. #20284952C2semidirect
26. #20284801C2semidirect
27. #20284548C2semidirect
28. #20284545C2semidirect
29. C2×#16810925C2semidirect
30. #20283855C2semidirect
31. C53×#3318C2semidirect
36. #16811330C22semidirect
37. #16811329C22semidirect
39. #16811325C22semidirect
40. #16811321C22semidirect
42. #16811317C22semidirect
46. #16811277C22semidirect
48. #16811273C22semidirect
54. #16811253C22semidirect
55. #16811251C22semidirect
58. #16811226C22semidirect
59. #16811224C22semidirect
67. #16811168C22semidirect
69. C2×#13133208C22semidirect
75. #16811032C22semidirect
76. #16811031C22semidirect
77. #16811030C22semidirect
78. #16811030C22semidirect
79. #16811023C22semidirect
80. #16811022C22semidirect
81. #16810986C22semidirect
82. #16810986C22semidirect
83. #16810986C22semidirect
84. #16810969C22semidirect
85. #16810968C22semidirect
86. #16810949C22semidirect
87. #16810948C22semidirect
88. #16810947C22semidirect
89. #16810946C22semidirect
90. #16810946C22semidirect
91. #16810945C22semidirect
92. #16810944C22semidirect
93. #16810942C22semidirect
94. #16810942C22semidirect
95. #16810941C22semidirect
96. #16810940C22semidirect
97. #16810939C22semidirect
98. #16810937C22semidirect
99. #16810935C22semidirect
100. #16810934C22semidirect
101. #16810934C22semidirect
106. #16810925C22semidirect
107. #16810925C22semidirect
108. #16810925C22semidirect
109. #16810925C22semidirect
110. #16810925C22semidirect
111. #16810925C22semidirect
112. #16810924C22semidirect
113. #16810923C22semidirect
114. #16810922C22semidirect
115. #16810922C22semidirect
116. #16810922C22semidirect
118. #16810921C22semidirect
119. #16810921C22semidirect
120. #16810920C22semidirect
121. #16810914C22semidirect
123. #16810911C22semidirect
124. #16810911C22semidirect
126. #16810902C22semidirect
127. #16810902C22semidirect
129. #16810901C22semidirect
130. #16810901C22semidirect
131. #16810876C22semidirect
132. #16810875C22semidirect
133. #16810873C22semidirect
134. #16810859C22semidirect
135. #16810858C22semidirect
136. #16810857C22semidirect
137. #16810857C22semidirect
138. #16810857C22semidirect
139. #16810857C22semidirect
140. #16810856C22semidirect
141. #16810817C22semidirect
142. #16810817C22semidirect
143. #16810817C22semidirect
145. #16810816C22semidirect
146. #16810816C22semidirect
147. #16810816C22semidirect
148. #16810816C22semidirect
149. #16810815C22semidirect
154. #16810751C22semidirect
155. #16810750C22semidirect
156. #16810736C22semidirect
158. #16810735C22semidirect
159. #16810735C22semidirect
162. #16810732C22semidirect
165. C4×#11719922C22semidirect
166. #16810703C22semidirect
167. #16810694C22semidirect
168. #16810692C22semidirect
169. #16810691C22semidirect
170. D4×#88322C22semidirect
171. #16810686C22semidirect
172. #16810685C22semidirect
173. #16810681C22semidirect
174. #16810677C22semidirect
175. #16810665C22semidirect
176. #16810664C22semidirect
177. #16810659C22semidirect
178. #16810658C22semidirect
179. C2×#13133150C22semidirect
180. C2×#13133149C22semidirect
181. #16810651C22semidirect
182. #16810648C22semidirect
183. C2×#13133146C22semidirect
188. C53×#553C22semidirect
190. C53×#490C22semidirect
191. C53×#482C22semidirect
192. C53×#481C22semidirect
194. C53×#469C22semidirect
195. C53×#466C22semidirect
196. C53×#459C22semidirect
200. C53×#435C22semidirect
868. #3318D53semidirect
908. #553C2×D53semidirect
950. #490C2×D53semidirect
960. #482C2×D53semidirect
966. #481C2×D53semidirect
1004. #469C2×D53semidirect
1012. #466C2×D53semidirect
1022. #459C2×D53semidirect
1046. #435C2×D53semidirect
1067. C53#62163semidirect

Maximal subgroups

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

subgroupindex
#202892472
#202887342
#202876742
#202876732
#202874262
#202874192
#202872132
#202872102
#202871912
#202871872
#202871152
#202871112
#202868602
#202868572
#202868522
#202865282
#202865212
#202861522
#202861512
#202860212
#202859662
#202859632
#202859042
#202849572
#202849522
#202848012
#202845482
#202845452
C2×#168109252
#202838552
C53×#33182
#6216353