Finite Group Databasebeta

← #28252603

Subgroups — #28252603

Order 13568.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D53C211yesmaximal, characteristic, complemented
2#20287915C211yesmaximal, characteristic, complemented
3#20284994C211yesmaximal, characteristic, complemented
4#20284993C211yesmaximal, characteristic, complemented
5#20284986C211yesmaximal, characteristic, complemented
6#20284985C211yesmaximal, characteristic, complemented
7#20284980C211yesmaximal, characteristic, complemented
8#20284977C211yesmaximal, characteristic, complemented
9#20284972C211yesmaximal, characteristic, complemented
10#20284950C211yesmaximal, characteristic, complemented
11#20284949C211yesmaximal, characteristic, complemented
12#20284942C211yesmaximal, characteristic, complemented
13#20284941C211yesmaximal, characteristic, complemented
14#20284906C211yesmaximal, characteristic, complemented
15#20284903C211yesmaximal, characteristic, complemented
16#20284898C211yesmaximal, characteristic, complemented
17#20284895C211yesmaximal, characteristic, complemented
18#20284660C211yesmaximal, characteristic, complemented
19#20284650C211yesmaximal, characteristic, complemented
20#20284529C211yesmaximal, characteristic, complemented
21#20284523C211yesmaximal, characteristic, complemented
22#20284206C211yesmaximal, characteristic, complemented
23#20284204C211yesmaximal, characteristic, complemented
24#20283972C211yesmaximal, characteristic, complemented
25#20283964C211yesmaximal, characteristic
26#20283537C211yesmaximal, characteristic, complemented
27C4×#13133249C211yesmaximal, characteristic, complemented
28#20283520C211yesmaximal, characteristic, complemented
29C4×#13133241C211yesmaximal, characteristic, complemented
30#20283349C211yesmaximal, characteristic, complemented
31C53×#3124C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic
33C2×#13133249C2211yescharacteristic
34C2×#13133246C2211yescharacteristic
35C2×#13133244C2211yescharacteristic
36C2×#13133241C2211yescharacteristic
37#16811247C2211yescharacteristic
38#16811246C2211yescharacteristic, complemented
39#16811245C2211yescharacteristic
40#16811244C2211yescharacteristic, complemented
41#16811243—21no—
42#16811242C2211yescharacteristic
43#16811241—21no—
44#16811240C2211yescharacteristic, complemented
45#16811239—21no—
46#16811238C2211yescharacteristic
47#16811237—21no—
48C4⋊Q8×D53C2211yescharacteristic, complemented
49#126×D53—21no—
50#124×D53—21no—
51#124×D53C2211yescharacteristic, complemented
52#123×D53—21no—
53C22⋊Q8×D53—21no—
54C22⋊Q8×D53C2211yescharacteristic
55#121×D53C2211yescharacteristic
56#16811106C2211yescharacteristic, complemented
57#16811104—21no—
58#16811104C2211yescharacteristic, complemented
59#16811103—21no—
60#16811103C2211yescharacteristic, complemented
61#16811099C2211yescharacteristic, complemented
62#16811099C2211yescharacteristic, complemented
63#16811095—21no—
64#16811095—21no—
65#16811095C2211yescharacteristic, complemented
66#16811095C2211yescharacteristic, complemented
67C4×#11719949C2211yescharacteristic
68C4×#11719949C2211yescharacteristic
69C4×#11719947—21no—
70C4×#11719947—21no—
71C4×#11719947C2211yescharacteristic
72C4×#11719947C2211yescharacteristic
73C4×Q8×D53C2211yescharacteristic, complemented
74C4×D4×D53C2211yescharacteristic, complemented
75C2×#13133175—21no—
76C2×#13133175C2211yescharacteristic
77#117×D53—21no—
78#117×D53C2211yescharacteristic
79#16810966C2211yescharacteristic, complemented
80#16810966C2211yescharacteristic, complemented
81#16810962C2211yescharacteristic, complemented
82#16810962C2211yescharacteristic, complemented
83#16810958C2211yescharacteristic, complemented
84#16810954C2211yescharacteristic, complemented
85#16810951C2211yescharacteristic, complemented
86#16810950C2211yescharacteristic
87#16810950C2211yescharacteristic
88#16810946C2211yescharacteristic
89#16810946C2211yescharacteristic
90#16810942C2211yescharacteristic, complemented
91#16810939C2211yescharacteristic, complemented
92#16810936C2211yescharacteristic, complemented
93#16810918C2211yescharacteristic, complemented
94#16810917C2211yescharacteristic, complemented
95#16810917C2211yescharacteristic, complemented
96#16810914C2211yescharacteristic, complemented
97#16810911C2211yescharacteristic, complemented
98#16810911C2211yescharacteristic, complemented
99#16810910C2211yescharacteristic, complemented
100#16810909C2211yescharacteristic, complemented
101#16810906C2211yescharacteristic, complemented
102#16810906C2211yescharacteristic, complemented
103#16810905C2211yescharacteristic, complemented
104#16810903C2211yescharacteristic, complemented
105#16810902C2211yescharacteristic, complemented
106#16810902C2211yescharacteristic, complemented
107#16810848C2211yescharacteristic, complemented
108#16810847C2211yescharacteristic, complemented
109#16810846C2211yescharacteristic, complemented
110#16810845C2211yescharacteristic, complemented
111#16810844C2211yescharacteristic, complemented
112#16810843C2211yescharacteristic, complemented
113#16810842C2211yescharacteristic, complemented
114#16810841C2211yescharacteristic, complemented
115#16810840C2211yescharacteristic, complemented
116#16810839C2211yescharacteristic, complemented
117#16810838C2211yescharacteristic, complemented
118#16810837C2211yescharacteristic, complemented
119#16810836C2211yescharacteristic, complemented
120#16810835C2211yescharacteristic, complemented
121#16810787C2211yescharacteristic, complemented
122#16810785C2211yescharacteristic, complemented
123#16810783C2211yescharacteristic, complemented
124#16810780C2211yescharacteristic, complemented
125#16810777C2211yescharacteristic, complemented
126#16810775C2211yescharacteristic, complemented
127#16810772C2211yescharacteristic, complemented
128#16810770C2211yescharacteristic
129#16810768C2211yescharacteristic
130#16810766C2211yescharacteristic
131#16810763C2211yescharacteristic
132#16810760C2211yescharacteristic
133#16810758C2211yescharacteristic
134#16810755C2211yescharacteristic
135#16810736C2211yescharacteristic, complemented
136#16810735C2211yescharacteristic, complemented
137#16810733C2211yescharacteristic, complemented
138#16810732C2211yescharacteristic, complemented
139#16810731C2211yescharacteristic, complemented
140#16810730C2211yescharacteristic, complemented
141#16810728C2211yescharacteristic, complemented
142#16810727C2211yescharacteristic, complemented
143#16810726C2211yescharacteristic, complemented
144#16810723C2211yescharacteristic, complemented
145#16810722C2211yescharacteristic, complemented
146#16810722C2211yescharacteristic, complemented
147#16810721C2211yescharacteristic, complemented
148#16810720C2211yescharacteristic, complemented
149#16810717C2211yescharacteristic, complemented
150C4×#11719925C2211yescharacteristic, complemented
151#16810715C2211yescharacteristic, complemented
152#16810714C2211yescharacteristic, complemented
153C4×#11719913C2211yescharacteristic, complemented
154C4×#11719913C2211yescharacteristic, complemented
155SD16×Dic53C2211yescharacteristic, complemented
156SD16×Dic53C2211yescharacteristic, complemented
157C4×#11719924C2211yescharacteristic, complemented
158C4×#11719923C2211yescharacteristic, complemented
159#16810708C2211yescharacteristic, complemented
160#16810705C2211yescharacteristic, complemented
161C4×#11719922C2211yescharacteristic, complemented
162#16810703C2211yescharacteristic, complemented
163#16810685C2211yescharacteristic, complemented
164#16810684C2211yescharacteristic, complemented
165#16810683C2211yescharacteristic, complemented
166#16810683C2211yescharacteristic, complemented
167#16810682C2211yescharacteristic, complemented
168#16810681C2211yescharacteristic, complemented
169#16810681C2211yescharacteristic, complemented
170#16810664C2211yescharacteristic, complemented
171#16810664C2211yescharacteristic, complemented
172#16810664C2211yescharacteristic, complemented
173#16810664C2211yescharacteristic, complemented
174#16810645C2211yescharacteristic, complemented
175#16810645C2211yescharacteristic, complemented
176#16810630C2211yescharacteristic, complemented
177#16810630C2211yescharacteristic, complemented
178#16810626C2211yescharacteristic, complemented
179#16810626C2211yescharacteristic, complemented
180#16810623C2211yescharacteristic
181#16810623C2211yescharacteristic
182#16810621C2211yescharacteristic
183#16810621C2211yescharacteristic
184#16810585C2211yescharacteristic
185#16810585C2211yescharacteristic
186#16810575C2211yescharacteristic, complemented
187C4×#11719912C2211yescharacteristic, complemented
188C53×#542C2211yescharacteristic, complemented
189C53×#520C2211yescharacteristic, complemented
190C53×#484C2211yescharacteristic, complemented
191C53×#480C2211yescharacteristic, complemented
192C53×#477C2211yescharacteristic, complemented
193C53×#474C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#452C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic
198C53×#440C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C4×Q16×C53C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719947—21no—
207C2×#11719947C2311yescharacteristic
208#41×D53—24no—
209#41×D53—24no—
210C2×Q8×D53—21no—
211C2×Q8×D53C2311yescharacteristic
212C2×Q8×D53C2311yescharacteristic
213C2×D4×D53—21no—
214C2×D4×D53—21no—
215C2×D4×D53C2311yescharacteristic
216C2×D4×D53C2311yescharacteristic
217C22×C4×D53—21no—
218C22×C4×D53—21no—
219C22×C4×D53C2311yescharacteristic
220#13133249—24no—
221#13133246—24no—
222#13133244—24no—
223#13133241—24no—
224C2×Dic212C2311yescharacteristic
225C2×#11719925C2311yescharacteristic
226C2×#11719925C2311yescharacteristic
227C2×#11719913C2311yescharacteristic
228C2×#11719913C2311yescharacteristic
229C2×#11719923C2311yescharacteristic
230C2×#11719923C2311yescharacteristic
231C2×#11719924C2311yescharacteristic
232C2×#11719924C2311yescharacteristic
233C2×D424C2311yescharacteristic
234C2×#11719922C2311yescharacteristic
235C2×#11719922C2311yescharacteristic
236C2×#11719912C2311yescharacteristic
237C2×#11719912C2311yescharacteristic
238C2×#11719912C2311yescharacteristic
239C2×#11719912C2311yescharacteristic
240#13133217C2311yescharacteristic
241#13133216—21no—
242#13133216C2311yescharacteristic
243#13133216C2311yescharacteristic
244#13133215—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133211—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210—21no—
252#13133206—21no—
253#13133206C2311yescharacteristic
254#13133205—21no—
255#13133205C2311yescharacteristic
256#13133204—21no—
257#13133204C2311yescharacteristic
258#13133203—21no—
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133202—21no—
265#13133202—21no—
266#13133201—21no—
267#13133200—21no—
268#13133199—21no—
269#13133199—21no—
270#13133198—21no—
271#13133197—21no—
272#13133197C2311yescharacteristic
273#13133196—21no—
274#13133196C2311yescharacteristic
275#13133195—21no—
276#13133195—21no—
277#13133195—21no—
278#13133194—21no—
279#13133194—21no—
280#13133194—21no—
281#13133193—21no—
282#13133193C2311yescharacteristic
283#13133192C2311yescharacteristic
284#13133191C2311yescharacteristic
285#13133190—21no—
286#13133189—21no—
287#13133188C2311yescharacteristic
288Q8×Dic53C2311yescharacteristic
289Q8×Dic53C2311yescharacteristic
290Q8×Dic53C2311yescharacteristic
291C4×Dic106—21no—
292C4×Dic106—21no—
293C4×Dic106—21no—
294C4×Dic106C2311yescharacteristic
295C4×Dic106C2311yescharacteristic
296C4×Dic106C2311yescharacteristic
297#13133182—21no—
298#13133182—21no—
299#13133182—21no—
300#13133182C2311yescharacteristic
301#13133182C2311yescharacteristic
302#13133182C2311yescharacteristic
303C4×D212—21no—
304C4×D212—21no—
305C4×D212C2311yescharacteristic
306C4×D212C2311yescharacteristic
307C4×D212C2311yescharacteristic
308D4×Dic53—21no—
309D4×Dic53—21no—
310D4×Dic53C2311yescharacteristic
311D4×Dic53C2311yescharacteristic
312D4×Dic53C2311yescharacteristic
313#13133179—21no—
314#13133179—21no—
315#13133179C2311yescharacteristic
316#13133179C2311yescharacteristic
317#13133179C2311yescharacteristic
318C4×C22⋊D53—21no—
319C4×C22⋊D53—21no—
320C4×C22⋊D53—21no—
321C4×C22⋊D53—21no—
322C4×C22⋊D53—21no—
323C4×C22⋊D53—21no—
324C4×C22⋊D53—21no—
325#13133177—21no—
326#13133177—21no—
327#13133177—21no—
328#13133177—21no—
329#13133177—21no—
330#13133177—21no—
331#13133177—21no—
332#13133176—21no—
333#13133176C2311yescharacteristic
334#13133175—21no—
335#13133175—21no—
336#13133175—21no—
337#13133175—21no—
338#13133175—21no—
339#13133175—21no—
340#13133175—21no—
341#13133175—21no—
342#13133175D411yescharacteristic
343#13133175D411yescharacteristic
344#13133175C2311yescharacteristic
345#13133175C2311yescharacteristic
346#13133175C2311yescharacteristic
347#13133175C2311yescharacteristic
348#13133174—21no—
349#13133174—21no—
350#13133174C2311yescharacteristic
351#13133174C2311yescharacteristic
352#13133173—21no—
353#13133173—21no—
354#13133173D411yescharacteristic
355#13133173D411yescharacteristic
356C2×C4⋊Dic53—21no—
357C2×C4⋊Dic53C2311yescharacteristic
358C4⋊C4×D53—21no—
359C4⋊C4×D53—21no—
360C4⋊C4×D53—21no—
361C4⋊C4×D53—21no—
362C4⋊C4×D53—21no—
363C4⋊C4×D53D411yescharacteristic
364C4⋊C4×D53D411yescharacteristic
365C4⋊C4×D53C2311yescharacteristic
366C4⋊C4×D53C2311yescharacteristic
367C2×#11719921—21no—
368C2×#11719921—21no—
369C2×#11719921—21no—
370C22⋊C4×D53—21no—
371C22⋊C4×D53—21no—
372C22⋊C4×D53—21no—
373C22⋊C4×D53—21no—
374C22⋊C4×D53—21no—
375C22⋊C4×D53—21no—
376C22⋊C4×D53—21no—
377C22⋊C4×D53D411yescharacteristic
378C22⋊C4×D53D411yescharacteristic
379C2×C4×Dic53—21no—
380C2×C4×Dic53—21no—
381C2×C4×Dic53—21no—
382C42×D53—21no—
383C42×D53—21no—
384C42×D53—21no—
385C42×D53C2311yescharacteristic
386C42×D53C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133149C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133149C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133148C2311yescharacteristic
399C4⋊#88322C2311yescharacteristic
400C4⋊#88322C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429C22⋊#88322C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133128C2311yescharacteristic
436#13133127C2311yescharacteristic
437#13133127C2311yescharacteristic
438C4×#88322C2311yescharacteristic
439C8×Dic53C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C2×#41×C53C2311yescharacteristic
442C2×Q16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×SD16×C53C2311yescharacteristic
445C2×D8×C53C2311yescharacteristic
446C4⋊Q8×C53C2311yescharacteristic
447#126×C53—21no—
448#124×C53—21no—
449#124×C53C2311yescharacteristic
450#123×C53—21no—
451C22⋊Q8×C53—21no—
452C22⋊Q8×C53C2311yescharacteristic
453#121×C53C2311yescharacteristic
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456C4×Q8×C53C2311yescharacteristic
457C4×D4×C53—21no—
458C4×D4×C53—21no—
459C4×D4×C53C2311yescharacteristic
460C4×D4×C53C2311yescharacteristic
461C4×D4×C53C2311yescharacteristic
462#117×C53—21no—
463#117×C53C2311yescharacteristic
464C2×C4⋊C4×C53—21no—
465C2×C4⋊C4×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#107×C53C2311yescharacteristic
469#107×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480C22⋊C8×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482#97×C53C2311yescharacteristic
483C4×C8×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53—21no—
486C23×D53C2×D411yescharacteristic
487#41×C53—22no—
488#41×C53—22no—
489C2×Q8×C53—21no—
490C2×Q8×C53C2411yescharacteristic
491C2×Q8×C53C2411yescharacteristic
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53C2411yescharacteristic
495C2×D4×C53C2411yescharacteristic
496C22×C4×C53—21no—
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53—21no—
500C22×C4×C53—21no—
501C22×C4×C53C2411yescharacteristic
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513C22×Dic53C2×D411yescharacteristic
514#11719949—22no—
515#11719949#4114yes—
516Q8×D53—22no—
517Q8×D53—22no—
518Q8×D53—22no—
519Q8×D53—22no—
520Q8×D53—82no—
521#11719947—28no—
522#11719947—22no—
523#11719947#4114yes—
524D4×D53—28no—
525D4×D53—22no—
526D4×D53—22no—
527D4×D53—22no—
528D4×D53—22no—
529D4×D53—82no—
530#11719945—28no—
531#11719945—22no—
532#11719945—22no—
533C2×D212—21no—
534C2×D212—21no—
535C2×D212C2411yescharacteristic
536C2×D212C2411yescharacteristic
537C2×C4×D53—28no—
538C2×C4×D53—21no—
539C2×C4×D53—21no—
540C2×C4×D53—21no—
541C2×C4×D53—22no—
542C2×C4×D53—22no—
543C2×C4×D53—21no—
544C2×C4×D53—21no—
545C2×C4×D53—21no—
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—82no—
553C2×C4×D53C2×D411yescharacteristic
554C2×C4×D53C2×D411yescharacteristic
555C2×C4×D53C2×D411yescharacteristic
556C2×C4×D53C2×D411yescharacteristic
557C2×C4×D53C2×D411yescharacteristic
558C2×C4×D53C2×D411yescharacteristic
559C2×C4×D53C2411yescharacteristic
560C2×C4×D53C2411yescharacteristic
561C2×Dic106—21no—
562C2×Dic106—21no—
563C2×Dic106—21no—
564C2×Dic106—21no—
565C2×Dic106—21no—
566C2×Dic106C2411yescharacteristic
567C2×Dic106C2411yescharacteristic
568Q16×C53—22no—
569SD16×C53—22no—
570SD16×C53—22no—
571D8×C53—22no—
572C2×C8×C53C2411yescharacteristic
573C2×C8×C53C2411yescharacteristic
574C2×C8×C53C2411yescharacteristic
575C2×C8×C53C2411yescharacteristic
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53—21no—
579C4⋊C4×C53—21no—
580C4⋊C4×C53—21no—
581C4⋊C4×C53—21no—
582C4⋊C4×C53C2×D411yescharacteristic
583C4⋊C4×C53C2×D411yescharacteristic
584C4⋊C4×C53C2411yescharacteristic
585C4⋊C4×C53C2411yescharacteristic
586C4⋊C4×C53C2411yescharacteristic
587C4⋊C4×C53C2411yescharacteristic
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C22⋊C4×C53—21no—
592C22⋊C4×C53—21no—
593C22⋊C4×C53—21no—
594C22⋊C4×C53—21no—
595C22⋊C4×C53C2×D411yescharacteristic
596C22⋊C4×C53C2×D411yescharacteristic
597C42×C53—21no—
598C42×C53—21no—
599C42×C53—21no—
600C42×C53C2411yescharacteristic
601C42×C53C2411yescharacteristic
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53—21no—
609C22⋊Dic53C2×D411yescharacteristic
610C22⋊Dic53C2×D411yescharacteristic
611#11719925—22no—
612#11719925—22no—
613#11719924—22no—
614#11719924—22no—
615#11719923—22no—
616#11719923—22no—
617#11719922—22no—
618#11719922—22no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921C2×D411yescharacteristic
638#11719921C2×D411yescharacteristic
639#11719921C2×D411yescharacteristic
640#11719921C2×D411yescharacteristic
641C4⋊Dic53—21no—
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53—21no—
646C4⋊Dic53—21no—
647C4⋊Dic53C2×D411yescharacteristic
648C4⋊Dic53C2×D411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651C4⋊Dic53C2411yescharacteristic
652C4⋊Dic53C2411yescharacteristic
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919—21no—
664#11719919—21no—
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667#11719919C2×D411yescharacteristic
668#11719919C2×D411yescharacteristic
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53—21no—
679C4×Dic53—21no—
680C4×Dic53—21no—
681C4×Dic53—21no—
682C4×Dic53C2×D411yescharacteristic
683C4×Dic53C2×D411yescharacteristic
684C4×Dic53C2×D411yescharacteristic
685C4×Dic53C2×D411yescharacteristic
686C4×Dic53C2411yescharacteristic
687C4×Dic53C2411yescharacteristic
688C2×#88322C2411yescharacteristic
689C2×#88322C2411yescharacteristic
690C2×#88322C2411yescharacteristic
691C2×#88322C2411yescharacteristic
692Dic212—22no—
693D424—22no—
694#11719913—22no—
695#11719913—22no—
696#11719912—22no—
697#11719912—22no—
698#11719912—22no—
699#11719912—22no—
700C23×C53—21no—
701C23×C53—21no—
702C23×C53C22×D411yescharacteristic
703C22×D53—21no—
704C22×D53—24no—
705C22×D53—22no—
706C22×D53—21no—
707C22×D53—41no—
708C22×D53—41no—
709C22×D53—42no—
710C22×D53—42no—
711C22×D53—42no—
712C22×D53—81no—
713C22×D53—81no—
714C22×D53C22×D411yescharacteristic
715C22×D53C22×D411yescharacteristic
716Q8×C53—21no—
717Q8×C53—21no—
718Q8×C53—21no—
719Q8×C53—81no—
720Q8×C53C2×#4112yes—
721D4×C53—24no—
722D4×C53—21no—
723D4×C53—21no—
724D4×C53—21no—
725D4×C53—81no—
726D4×C53C2×#4112yes—
727C2×C4×C53—24no—
728C2×C4×C53—21no—
729C2×C4×C53—21no—
730C2×C4×C53—21no—
731C2×C4×C53—21no—
732C2×C4×C53—21no—
733C2×C4×C53—21no—
734C2×C4×C53—21no—
735C2×C4×C53—21no—
736C2×C4×C53—81no—
737C2×C4×C53—81no—
738C2×C4×C53—81no—
739C2×C4×C53—81no—
740C2×C4×C53C22×D411yescharacteristic
741C2×C4×C53C22×D411yescharacteristic
742C2×C4×C53C22×D411yescharacteristic
743C2×C4×C53C22×D411yescharacteristic
744C2×C4×C53C22×D411yescharacteristic
745C2×C4×C53C2511yescharacteristic
746C22⋊D53—24no—
747C22⋊D53—24no—
748C22⋊D53—24no—
749C22⋊D53—42no—
750C22⋊D53—81no—
751C22⋊D53—81no—
752C2×Dic53—21no—
753C2×Dic53—22no—
754C2×Dic53—24no—
755C2×Dic53—21no—
756C2×Dic53—21no—
757C2×Dic53—21no—
758C2×Dic53—21no—
759C2×Dic53—21no—
760C2×Dic53—81no—
761C2×Dic53—81no—
762C2×Dic53—81no—
763C2×Dic53—81no—
764C2×Dic53C22×D411yescharacteristic
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769C2×Dic53C22×D411yescharacteristic
770D212—24no—
771D212—21no—
772D212—21no—
773D212—21no—
774D212—81no—
775D212C2×#4112yes—
776C4×D53—24no—
777C4×D53—24no—
778C4×D53—22no—
779C4×D53—21no—
780C4×D53—21no—
781C4×D53—22no—
782C4×D53—24no—
783C4×D53—41no—
784C4×D53—41no—
785C4×D53—41no—
786C4×D53—41no—
787C4×D53—42no—
788C4×D53—42no—
789C4×D53—42no—
790C4×D53—81no—
791C4×D53—81no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796C4×D53C2×#4112yes—
797C4×D53C2×#4112yes—
798Dic106—24no—
799Dic106—21no—
800Dic106—21no—
801Dic106—21no—
802Dic106—42no—
803Dic106—81no—
804Dic106—81no—
805Dic106—81no—
806Dic106C2×#4112yes—
807C8×C53—21no—
808C8×C53—21no—
809C8×C53—21no—
810C8×C53—21no—
811#88322—21no—
812#88322—21no—
813#88322—21no—
814#88322—21no—
815#60567—531nomaximal, Sylow
816C22×C53—21no—
817C22×C53—21no—
818C22×C53—21no—
819C22×C53—22no—
820C22×C53—41no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53C23×D411yescharacteristic
826C2×D53—21no—
827C2×D53—21no—
828C2×D53—21no—
829C2×D53—21no—
830C2×D53—21no—
831C2×D53—22no—
832C2×D53—41no—
833C2×D53—41no—
834C2×D53—41no—
835C2×D53—41no—
836C2×D53—41no—
837C2×D53—82no—
838C2×D53—84no—
839C2×D53—84no—
840C2×D53#52512yes—
841C4×C53—21no—
842C4×C53—21no—
843C4×C53—21no—
844C4×C53—21no—
845C4×C53—22no—
846C4×C53—21no—
847C4×C53—41no—
848C4×C53—41no—
849C4×C53—41no—
850C4×C53—41no—
851C4×C53—41no—
852C4×C53C22×#4111yescharacteristic
853C4×C53C22×#4111yescharacteristic
854Dic53—21no—
855Dic53—21no—
856Dic53—21no—
857Dic53—21no—
858Dic53—21no—
859Dic53—22no—
860Dic53—41no—
861Dic53—41no—
862Dic53—41no—
863Dic53—41no—
864Dic53—41no—
865Dic53#52512yes—
866C2×#542—531no—
867#3428—531no—
868#3125—531no—
869#3125—531no—
870#3125—531no—
871#3125—531no—
872#3124—531no—
873#3124—531no—
874#3124—531no—
875#3124D5311yescharacteristic, complemented
876#3121—531no—
877#3121—531no—
878#3121—531no—
879#3121—531no—
880#3118—531no—
881#3118—531no—
882#3118—531no—
883#3118—531no—
884#3095—531no—
885#3094—531no—
886#3079—531no—
887#3079—531no—
888#3040—531no—
889#3040—531no—
890#3007—531no—
891#3006—531no—
892C4×#137—531no—
893C4×#137—531no—
894C4×AGL(1,ℤ/8)—531no—
895C4×AGL(1,ℤ/8)—531no—
896#2921—531no—
897C2×C53—41no—
898C2×C53—42no—
899C2×C53—81no—
900C2×C53C2×#52511yescharacteristic
901C2×C53#358511yescharacteristic
902C2×C53#358611yescharacteristic
903D53—22no—
904D53—41no—
905D53—42no—
906D53—81no—
907C22×#41—531no—
908C2×#137—531no—
909C2×#137—531no—
910C2×AGL(1,ℤ/8)—531no—
911C2×AGL(1,ℤ/8)—531no—
912#542—531no—
913#542—531no—
914#542—531no—
915#542—531no—
916#542—531no—
917#542—531no—
918#542—531no—
919#542—1061no—
920#542—1061no—
921#542—1061no—
922#542—1061no—
923#542C2×D5311yescharacteristic, complemented
924C2×C4⋊Q8—531no—
925C2×#126—1061no—
926C2×#124—531no—
927C2×#124—1061no—
928C2×#123—1061no—
929C2×C22⋊Q8—531no—
930C2×C22⋊Q8—1061no—
931C2×#121—531no—
932#520—531no—
933#520—531no—
934#520—531no—
935#520—1061no—
936#520—1061no—
937#520C2×D5311yescharacteristic, complemented
938#519—531no—
939#519—531no—
940#518—531no—
941#518—531no—
942#518—1061no—
943#518—1061no—
944C4×#41—531no—
945C4×#41—531no—
946C4×#41—531no—
947C4×#41—531no—
948C4×#41—1061no—
949C4×#41—1061no—
950C2×C4×Q8—531no—
951C2×C4×D4—531no—
952C2×#117—531no—
953C2×#117—531no—
954C2×#117—1061no—
955C2×#117—1061no—
956#485—531no—
957#485—531no—
958#485—531no—
959#485—531no—
960#484—531no—
961#484C2×D5311yescharacteristic, complemented
962#483—531no—
963#483—531no—
964#482—531no—
965#482—531no—
966#482—531no—
967#482—531no—
968#481—531no—
969#481—531no—
970#480—531no—
971#480C2×D5311yescharacteristic, complemented
972#477—531no—
973#477—531no—
974#477—531no—
975#477C2×D5311yescharacteristic, complemented
976#476—531no—
977#476—531no—
978#476—531no—
979#476—531no—
980#475—531no—
981#475—531no—
982#475—531no—
983#475—531no—
984#474—531no—
985#474—531no—
986#474—531no—
987#474C2×D5311yescharacteristic, complemented
988#464—531no—
989#464—531no—
990#464—531no—
991#464—531no—
992#464—531no—
993#464—531no—
994#464—531no—
995#464C2×D5311yescharacteristic, complemented
996#463—531no—
997#463—531no—
998#463—531no—
999#463—531no—
1000#463—531no—
1001#463—531no—
1002#463—531no—
1003#463C2×D5311yescharacteristic, complemented
1004#452—531no—
1005#452—531no—
1006#452—531no—
1007#452C2×D5311yescharacteristic, complemented
1008#451—531no—
1009#451—531no—
1010#450—531no—
1011#450—531no—
1012#449—531no—
1013#449—531no—
1014#449—531no—
1015#449C2×D5311yescharacteristic
1016#448—531no—
1017#448—531no—
1018#447—531no—
1019#447—531no—
1020#442—531no—
1021#442—531no—
1022#442—531no—
1023#442—531no—
1024#441—531no—
1025#441—531no—
1026#441—531no—
1027#441—531no—
1028#440—531no—
1029#440—531no—
1030#440—531no—
1031#440—531no—
1032#440—531no—
1033#440—531no—
1034#440C2×D5311yescharacteristic, complemented
1035#440C2×D5311yescharacteristic, complemented
1036C4×Q16—531no—
1037C4×Q16—531no—
1038C4×Q16—531no—
1039C4×Q16C2×D5311yescharacteristic, complemented
1040C4×SD16—531no—
1041C4×SD16—531no—
1042C4×SD16—531no—
1043C4×SD16—531no—
1044C4×SD16—531no—
1045C4×SD16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×D8—531no—
1049C4×D8—531no—
1050C4×D8—531no—
1051C4×D8C2×D5311yescharacteristic, complemented
1052#433—531no—
1053#433—531no—
1054#433—531no—
1055#433—531no—
1056#433—531no—
1057#433—531no—
1058#433—531no—
1059#433C2×D5311yescharacteristic, complemented
1060#428—531no—
1061#428—531no—
1062#428—531no—
1063#428—531no—
1064#423—531no—
1065#423—531no—
1066#419—531no—
1067#419—531no—
1068#418—531no—
1069#418—531no—
1070#417—531no—
1071#417—531no—
1072#417—531no—
1073#417—531no—
1074#407—531no—
1075#407—531no—
1076C4×M16—531no—
1077C4×M16—531no—
1078C53#6056711yescharacteristic, complemented, Sylow
1079C2×#41—531no—
1080C2×#41—531no—
1081C2×#41—531no—
1082C2×#41—1061no—
1083C2×#41—1061no—
1084C2×#41—1064no—
1085C2×#41—1064no—
1086C2×#41C22×D5311yescharacteristic
1087C22×Q8—531no—
1088C22×Q8—531no—
1089C22×Q8—1061no—
1090C22×D4—531no—
1091C22×D4—531no—
1092C22×D4—1061no—
1093C22×D4—1061no—
1094C23×C4—531no—
1095C23×C4—1061no—
1096C23×C4—1061no—
1097#137—1064no—
1098#137—1064no—
1099AGL(1,ℤ/8)—1064no—
1100AGL(1,ℤ/8)—1064no—
1101C2×Q16—531no—
1102C2×Q16—531no—
1103C2×Q16—531no—
1104C2×Q16C22×D5311yescharacteristic
1105C2×SD16—531no—
1106C2×SD16—531no—
1107C2×SD16—531no—
1108C2×SD16—531no—
1109C2×SD16—531no—
1110C2×SD16—531no—
1111C2×SD16C22×D5311yescharacteristic
1112C2×SD16C22×D5311yescharacteristic
1113C2×D8—531no—
1114C2×D8—531no—
1115C2×D8—531no—
1116C2×D8C22×D5311yescharacteristic
1117C2×M16—531no—
1118C2×M16—531no—
1119C2×M16—531no—
1120C2×M16—531no—
1121C4⋊Q8—531no—
1122C4⋊Q8—531no—
1123C4⋊Q8—531no—
1124C4⋊Q8—1061no—
1125C4⋊Q8—1061no—
1126C4⋊Q8C22×D5311yescharacteristic
1127#126—21no—
1128#126—1061no—
1129#126—1061no—
1130#126—1061no—
1131#126—1061no—
1132#126—1061no—
1133#126—1061no—
1134#126—1061no—
1135#124—21no—
1136#124—531no—
1137#124—531no—
1138#124—531no—
1139#124—1061no—
1140#124—1061no—
1141#124—1061no—
1142#124—1061no—
1143#124—1061no—
1144#124—1061no—
1145#124—1061no—
1146#124—1061no—
1147#124—1061no—
1148#124C22×D5311yescharacteristic
1149#123—21no—
1150#123—1061no—
1151#123—1061no—
1152#123—1061no—
1153#123—1061no—
1154#123—1061no—
1155#123—1061no—
1156#123—1061no—
1157C22⋊Q8—21no—
1158C22⋊Q8—531no—
1159C22⋊Q8—531no—
1160C22⋊Q8—531no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8—1061no—
1166C22⋊Q8—1061no—
1167C22⋊Q8—1061no—
1168C22⋊Q8—1061no—
1169C22⋊Q8—1061no—
1170C22⋊Q8C22×D5311yescharacteristic
1171#121—531no—
1172#121—531no—
1173#121—531no—
1174#121—1061no—
1175#121—1061no—
1176#121C22×D5311yescharacteristic
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8—1061no—
1191C4×Q8—1061no—
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×Q8C22×D5311yescharacteristic
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—531no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4—1061no—
1218C4×D4—1061no—
1219C4×D4—1061no—
1220C4×D4—1061no—
1221C4×D4—1061no—
1222C4×D4—1061no—
1223C4×D4—1061no—
1224C4×D4—1061no—
1225C4×D4—1061no—
1226C4×D4C22×D5311yescharacteristic
1227C4×D4C22×D5311yescharacteristic
1228C4×D4C22×D5311yescharacteristic
1229#117—21no—
1230#117—531no—
1231#117—531no—
1232#117—531no—
1233#117—531no—
1234#117—531no—
1235#117—531no—
1236#117—531no—
1237#117—531no—
1238#117—531no—
1239#117—531no—
1240#117—531no—
1241#117—1061no—
1242#117—1061no—
1243#117—1061no—
1244#117—1061no—
1245#117—1061no—
1246#117—1061no—
1247#117—1061no—
1248#117—1061no—
1249#117—1061no—
1250#117—1061no—
1251#117—1061no—
1252#117—1061no—
1253#117—1061no—
1254#117C22×D5311yescharacteristic
1255C2×C4⋊C4—21no—
1256C2×C4⋊C4—531no—
1257C2×C4⋊C4—531no—
1258C2×C4⋊C4—531no—
1259C2×C4⋊C4—531no—
1260C2×C4⋊C4—531no—
1261C2×C4⋊C4—1061no—
1262C2×C4⋊C4—1061no—
1263C2×C4⋊C4—1061no—
1264C2×C4⋊C4—1061no—
1265C2×C4⋊C4—1061no—
1266C2×C4⋊C4—1061no—
1267C2×C4⋊C4C22×D5311yescharacteristic
1268C2×C22⋊C4—531no—
1269C2×C22⋊C4—531no—
1270C2×C22⋊C4—1061no—
1271C2×C22⋊C4—1061no—
1272C2×C22⋊C4—1061no—
1273C2×C22⋊C4—1061no—
1274C2×C22⋊C4—1061no—
1275C2×C22⋊C4—1061no—
1276C2×C22⋊C4—1061no—
1277C2×C22⋊C4—1061no—
1278C2×C22⋊C4—1061no—
1279C2×C22⋊C4—1061no—
1280C2×C42—531no—
1281C2×C42—531no—
1282C2×C42—1061no—
1283C2×C42—1061no—
1284C2×C42—1061no—
1285C2×C42—1061no—
1286C2×C42—1061no—
1287C2×C42—1061no—
1288#107—531no—
1289#107—531no—
1290#107—531no—
1291#107—531no—
1292#107C22×D5311yescharacteristic
1293#107C22×D5311yescharacteristic
1294#107C22×D5311yescharacteristic
1295#107C22×D5311yescharacteristic
1296#106—531no—
1297#106—531no—
1298#106—531no—
1299#106—531no—
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304C4⋊C8—531no—
1305C4⋊C8—531no—
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8C22×D5311yescharacteristic
1311C4⋊C8C22×D5311yescharacteristic
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103—531no—
1319#103—531no—
1320#103—531no—
1321#103—531no—
1322#103—531no—
1323#103—531no—
1324#103C22×D5311yescharacteristic
1325#103C22×D5311yescharacteristic
1326#103C22×D5311yescharacteristic
1327#103C22×D5311yescharacteristic
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102—531no—
1334#102—531no—
1335#102—531no—
1336#102—531no—
1337#102—531no—
1338#102—531no—
1339#102—531no—
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344C22⋊C8—531no—
1345C22⋊C8—531no—
1346C22⋊C8—531no—
1347C22⋊C8—531no—
1348C22⋊C8—531no—
1349C22⋊C8—531no—
1350C22⋊C8C22×D5311yescharacteristic
1351C22⋊C8C22×D5311yescharacteristic
1352#97—531no—
1353#97—531no—
1354#97—531no—
1355#97C22×D5311yescharacteristic
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8—531no—
1359C4×C8C22×D5311yescharacteristic
1360C24—531no—
1361C24—1061no—
1362C24—1061no—
1363#41—22no—
1364#41—22no—
1365#41—534no—
1366#41—534no—
1367#41—1062no—
1368#41—1062no—
1369#41—1068no—
1370#41—1062no—
1371#41—1062no—
1372#41—1068no—
1373C2×Q8—21no—
1374C2×Q8—531no—
1375C2×Q8—531no—
1376C2×Q8—1061no—
1377C2×Q8—1061no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—1062no—
1381C2×Q8—1062no—
1382C2×Q8—1062no—
1383C2×Q8—1062no—
1384C2×Q8—1061no—
1385C2×Q8—4242no—
1386C2×Q8C23×D5311yescharacteristic
1387C2×Q8C23×D5311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—531no—
1391C2×D4—531no—
1392C2×D4—1061no—
1393C2×D4—1061no—
1394C2×D4—1062no—
1395C2×D4—1062no—
1396C2×D4—1061no—
1397C2×D4—1061no—
1398C2×D4—1062no—
1399C2×D4—1068no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1062no—
1403C2×D4—1061no—
1404C2×D4—1061no—
1405C2×D4—4242no—
1406C2×D4C23×D5311yescharacteristic
1407C2×D4C23×D5311yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—531no—
1414C22×C4—531no—
1415C22×C4—531no—
1416C22×C4—531no—
1417C22×C4—531no—
1418C22×C4—531no—
1419C22×C4—531no—
1420C22×C4—531no—
1421C22×C4—531no—
1422C22×C4—1061no—
1423C22×C4—1062no—
1424C22×C4—1062no—
1425C22×C4—1061no—
1426C22×C4—1061no—
1427C22×C4—1061no—
1428C22×C4—1061no—
1429C22×C4—1068no—
1430C22×C4—1061no—
1431C22×C4—1061no—
1432C22×C4—1061no—
1433C22×C4—1061no—
1434C22×C4—1061no—
1435C22×C4—1061no—
1436C22×C4—1061no—
1437C22×C4—1061no—
1438C22×C4—1061no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—4242no—
1443C22×C4C23×D5311yescharacteristic
1444Q16—22no—
1445Q16—1062no—
1446Q16—1062no—
1447Q16—1062no—
1448SD16—22no—
1449SD16—22no—
1450SD16—1062no—
1451SD16—1062no—
1452SD16—1062no—
1453SD16—1062no—
1454SD16—1062no—
1455SD16—1062no—
1456D8—22no—
1457D8—1062no—
1458D8—1062no—
1459D8—1062no—
1460M16—1062no—
1461M16—1062no—
1462M16—1062no—
1463M16—1062no—
1464C2×C8—531no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8C23×D5311yescharacteristic
1469C2×C8C23×D5311yescharacteristic
1470C2×C8C23×D5311yescharacteristic
1471C2×C8C23×D5311yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—531no—
1479C4⋊C4—531no—
1480C4⋊C4—531no—
1481C4⋊C4—531no—
1482C4⋊C4—531no—
1483C4⋊C4—531no—
1484C4⋊C4—531no—
1485C4⋊C4—531no—
1486C4⋊C4—531no—
1487C4⋊C4—531no—
1488C4⋊C4—1061no—
1489C4⋊C4—1061no—
1490C4⋊C4—1061no—
1491C4⋊C4—1061no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4—1061no—
1497C4⋊C4—1061no—
1498C4⋊C4—1061no—
1499C4⋊C4—1061no—
1500C4⋊C4—1061no—
1501C4⋊C4—1061no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4—1061no—
1506C4⋊C4D4×D5311yescharacteristic
1507C4⋊C4D4×D5311yescharacteristic
1508C4⋊C4C23×D5311yescharacteristic
1509C4⋊C4C23×D5311yescharacteristic
1510C4⋊C4C23×D5311yescharacteristic
1511C4⋊C4C23×D5311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—531no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
1525C22⋊C4—1061no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—1061no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4D4×D5311yescharacteristic
1551C22⋊C4D4×D5311yescharacteristic
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—531no—
1556C42—531no—
1557C42—531no—
1558C42—531no—
1559C42—531no—
1560C42—531no—
1561C42—1061no—
1562C42—1061no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42—1061no—
1570C42—1061no—
1571C42—1061no—
1572C42—1061no—
1573C42—1061no—
1574C42C23×D5311yescharacteristic
1575C42C23×D5311yescharacteristic
1576C23—21no—
1577C23—21no—
1578C23—531no—
1579C23—531no—
1580C23—1062no—
1581C23—1064no—
1582C23—1061no—
1583C23—1061no—
1584C23—4241no—
1585C23—4241no—
1586C23—2121no—
1587C23—2121no—
1588C23—2122no—
1589C23—2122no—
1590C23—2122no—
1591C23C2×D4×D5311yescharacteristic
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—81no—
1596Q8—532no—
1597Q8—1064no—
1598Q8—1061no—
1599Q8—1061no—
1600Q8—1061no—
1601Q8—4241no—
1602Q8—4241no—
1603Q8—4241no—
1604Q8—2122no—
1605Q8#41×D5312yes—
1606D4—24no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—81no—
1611D4—532no—
1612D4—1064no—
1613D4—1064no—
1614D4—1064no—
1615D4—1064no—
1616D4—1061no—
1617D4—1061no—
1618D4—1061no—
1619D4—4241no—
1620D4—4241no—
1621D4—4241no—
1622D4—2122no—
1623D4#41×D5312yes—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—531no—
1638C2×C4—532no—
1639C2×C4—532no—
1640C2×C4—531no—
1641C2×C4—531no—
1642C2×C4—531no—
1643C2×C4—531no—
1644C2×C4—531no—
1645C2×C4—1062no—
1646C2×C4—1064no—
1647C2×C4—1062no—
1648C2×C4—1064no—
1649C2×C4—1064no—
1650C2×C4—1062no—
1651C2×C4—1064no—
1652C2×C4—1061no—
1653C2×C4—1061no—
1654C2×C4—1061no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—4241no—
1661C2×C4—4241no—
1662C2×C4—4241no—
1663C2×C4—4241no—
1664C2×C4—4241no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—2121no—
1671C2×C4—2121no—
1672C2×C4—2121no—
1673C2×C4—2121no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4C2×D4×D5311yescharacteristic
1678C2×C4C2×D4×D5311yescharacteristic
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C2×D4×D5311yescharacteristic
1681C2×C4C2×D4×D5311yescharacteristic
1682C2×C4C24×D5311yescharacteristic
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1061no—
1688C8—1061no—
1689C8—1061no—
1690C8—1061no—
1691C22—21no—
1692C22—22no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—532no—
1701C22—1061no—
1702C22—1061no—
1703C22—1061no—
1704C22—1062no—
1705C22—1061no—
1706C22—1061no—
1707C22—4242no—
1708C22—4244no—
1709C22—4244no—
1710C22—2121no—
1711C22—2121no—
1712C22—2121no—
1713C22—2121no—
1714C22—2121no—
1715C22C22×D4×D5311yescharacteristic
1716C4—21no—
1717C4—22no—
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—21no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—532no—
1728C4—1061no—
1729C4—1062no—
1730C4—1061no—
1731C4—1061no—
1732C4—1061no—
1733C4—1061no—
1734C4—2121no—
1735C4—2121no—
1736C4—2121no—
1737C4—2121no—
1738C4—2121no—
1739C4C2×#41×D5311yescharacteristic
1740C4C2×#41×D5311yescharacteristic
1741C2—41no—
1742C2—42no—
1743C2—81no—
1744C2—1062no—
1745C2—4241no—
1746C2—2121no—
1747C2—2122no—
1748C2#525×D5311yescharacteristic
1749C2#2028949011yescharacteristic
1750C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3124C2
socleC22×C53C23×D4
prime radical#20283964C2
hypercenter#3124D53
hypocenterC53#60567
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #542×D53C2semidirect
2. #20287915C2semidirect
3. #20284994C2semidirect
4. #20284993C2semidirect
5. #20284986C2semidirect
6. #20284985C2semidirect
7. #20284980C2semidirect
8. #20284977C2semidirect
9. #20284972C2semidirect
10. #20284950C2semidirect
11. #20284949C2semidirect
12. #20284942C2semidirect
13. #20284941C2semidirect
14. #20284906C2semidirect
15. #20284903C2semidirect
16. #20284898C2semidirect
17. #20284895C2semidirect
18. #20284660C2semidirect
19. #20284650C2semidirect
20. #20284529C2semidirect
21. #20284523C2semidirect
22. #20284206C2semidirect
23. #20284204C2semidirect
24. #20283972C2semidirect
26. #20283537C2semidirect
27. C4×#13133249C2semidirect
28. #20283520C2semidirect
29. C4×#13133241C2semidirect
30. #20283349C2semidirect
31. C53×#3124C2semidirect
38. #16811246C22semidirect
40. #16811244C22semidirect
44. #16811240C22semidirect
48. C4⋊Q8×D53C22semidirect
51. #124×D53C22semidirect
56. #16811106C22semidirect
58. #16811104C22semidirect
60. #16811103C22semidirect
61. #16811099C22semidirect
62. #16811099C22semidirect
65. #16811095C22semidirect
66. #16811095C22semidirect
73. C4×Q8×D53C22semidirect
74. C4×D4×D53C22semidirect
79. #16810966C22semidirect
80. #16810966C22semidirect
81. #16810962C22semidirect
82. #16810962C22semidirect
83. #16810958C22semidirect
84. #16810954C22semidirect
85. #16810951C22semidirect
90. #16810942C22semidirect
91. #16810939C22semidirect
92. #16810936C22semidirect
93. #16810918C22semidirect
94. #16810917C22semidirect
95. #16810917C22semidirect
96. #16810914C22semidirect
97. #16810911C22semidirect
98. #16810911C22semidirect
99. #16810910C22semidirect
100. #16810909C22semidirect
101. #16810906C22semidirect
102. #16810906C22semidirect
103. #16810905C22semidirect
104. #16810903C22semidirect
105. #16810902C22semidirect
106. #16810902C22semidirect
107. #16810848C22semidirect
108. #16810847C22semidirect
109. #16810846C22semidirect
110. #16810845C22semidirect
111. #16810844C22semidirect
112. #16810843C22semidirect
113. #16810842C22semidirect
114. #16810841C22semidirect
115. #16810840C22semidirect
116. #16810839C22semidirect
117. #16810838C22semidirect
118. #16810837C22semidirect
119. #16810836C22semidirect
120. #16810835C22semidirect
121. #16810787C22semidirect
122. #16810785C22semidirect
123. #16810783C22semidirect
124. #16810780C22semidirect
125. #16810777C22semidirect
126. #16810775C22semidirect
127. #16810772C22semidirect
135. #16810736C22semidirect
136. #16810735C22semidirect
137. #16810733C22semidirect
138. #16810732C22semidirect
139. #16810731C22semidirect
140. #16810730C22semidirect
141. #16810728C22semidirect
142. #16810727C22semidirect
143. #16810726C22semidirect
144. #16810723C22semidirect
145. #16810722C22semidirect
146. #16810722C22semidirect
147. #16810721C22semidirect
148. #16810720C22semidirect
149. #16810717C22semidirect
150. C4×#11719925C22semidirect
151. #16810715C22semidirect
152. #16810714C22semidirect
153. C4×#11719913C22semidirect
154. C4×#11719913C22semidirect
155. SD16×Dic53C22semidirect
156. SD16×Dic53C22semidirect
157. C4×#11719924C22semidirect
158. C4×#11719923C22semidirect
159. #16810708C22semidirect
160. #16810705C22semidirect
161. C4×#11719922C22semidirect
162. #16810703C22semidirect
163. #16810685C22semidirect
164. #16810684C22semidirect
165. #16810683C22semidirect
166. #16810683C22semidirect
167. #16810682C22semidirect
168. #16810681C22semidirect
169. #16810681C22semidirect
170. #16810664C22semidirect
171. #16810664C22semidirect
172. #16810664C22semidirect
173. #16810664C22semidirect
174. #16810645C22semidirect
175. #16810645C22semidirect
176. #16810630C22semidirect
177. #16810630C22semidirect
178. #16810626C22semidirect
179. #16810626C22semidirect
186. #16810575C22semidirect
187. C4×#11719912C22semidirect
188. C53×#542C22semidirect
189. C53×#520C22semidirect
190. C53×#484C22semidirect
191. C53×#480C22semidirect
192. C53×#477C22semidirect
193. C53×#474C22semidirect
194. C53×#464C22semidirect
195. C53×#463C22semidirect
196. C53×#452C22semidirect
198. C53×#440C22semidirect
199. C53×#440C22semidirect
200. C4×Q16×C53C22semidirect
201. C4×D8×C53C22semidirect
202. C53×#433C22semidirect
875. #3124D53semidirect
923. #542C2×D53semidirect
937. #520C2×D53semidirect
961. #484C2×D53semidirect
971. #480C2×D53semidirect
975. #477C2×D53semidirect
987. #474C2×D53semidirect
995. #464C2×D53semidirect
1003. #463C2×D53semidirect
1007. #452C2×D53semidirect
1034. #440C2×D53semidirect
1035. #440C2×D53semidirect
1039. C4×Q16C2×D53semidirect
1051. C4×D8C2×D53semidirect
1059. #433C2×D53semidirect
1078. C53#60567semidirect

Maximal subgroups

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

subgroupindex
#542×D532
#202879152
#202849942
#202849932
#202849862
#202849852
#202849802
#202849772
#202849722
#202849502
#202849492
#202849422
#202849412
#202849062
#202849032
#202848982
#202848952
#202846602
#202846502
#202845292
#202845232
#202842062
#202842042
#202839722
#202839642
#202835372
C4×#131332492
#202835202
C4×#131332412
#202833492
C53×#31242
#6056753