Finite Group Databasebeta

← #28261486

Subgroups — #28261486

Order 13568.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288433C211yesmaximal, characteristic, complemented
2#20288345C211yesmaximal, characteristic, complemented
3#20286958C211yesmaximal, characteristic, complemented
4#20286953C211yesmaximal, characteristic, complemented
5#20286948C211yesmaximal, characteristic, complemented
6#20286941C211yesmaximal, characteristic, complemented
7#20286937C211yesmaximal, characteristic, complemented
8#20286917C211yesmaximal, characteristic, complemented
9#20286915C211yesmaximal, characteristic, complemented
10#20286874C211yesmaximal, characteristic, complemented
11#20286871C211yesmaximal, characteristic, complemented
12#20286854C211yesmaximal, characteristic, complemented
13#20286853C211yesmaximal, characteristic, complemented
14#20286758C211yesmaximal, characteristic, complemented
15#20286755C211yesmaximal, characteristic, complemented
16#20286730C211yesmaximal, characteristic, complemented
17#20286729C211yesmaximal, characteristic, complemented
18#20285068C211yesmaximal, characteristic, complemented
19#20284672C211yesmaximal, characteristic, complemented
20#20284647C211yesmaximal, characteristic, complemented
21#20284545C211yesmaximal, characteristic, complemented
22#20284390C211yesmaximal, characteristic, complemented
23#20284326C211yesmaximal, characteristic, complemented
24#20284257C211yesmaximal, characteristic, complemented
25#20284023C211yesmaximal, characteristic, complemented
26#20283943C211yesmaximal, characteristic, complemented
27#20283542C211yesmaximal, characteristic, complemented
28#20283415C211yesmaximal, characteristic, complemented
29#20283239C211yesmaximal, characteristic, complemented
30#418×D53C211yesmaximal, characteristic, complemented
31C53×#3323C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic
33C22×D4×D53C2211yescharacteristic
34C2×#13133244C2211yescharacteristic
35C2×#13133244C2211yescharacteristic, complemented
36C2×#13133240C2211yescharacteristic, complemented
37C2×#13133225C2211yescharacteristic, complemented
38C2×M16×D53C2211yescharacteristic, complemented
39#16811346C2211yescharacteristic, complemented
40#16811344C2211yescharacteristic, complemented
41#16811340—21no—
42#16811338C2211yescharacteristic, complemented
43#16811336—21no—
44#16811336C2211yescharacteristic, complemented
45#16811326C2211yescharacteristic, complemented
46#16811321C2211yescharacteristic, complemented
47#16811318—21no—
48#16811307C2211yescharacteristic, complemented
49#16811305—21no—
50#16811266C2211yescharacteristic
51#16811265—21no—
52#16811264C2211yescharacteristic
53#16811263—21no—
54#16811261C2211yescharacteristic
55D4×D212C2211yescharacteristic
56D4×D212C2211yescharacteristic
57#16811257—21no—
58#16811257C2211yescharacteristic
59D4×C22⋊D53C2211yescharacteristic
60#16811255—21no—
61#16811253C2211yescharacteristic, complemented
62#16811212—21no—
63#16811209—21no—
64#16811203C2211yescharacteristic, complemented
65#16811191C2211yescharacteristic
66#16811189C2211yescharacteristic
67#16811184—21no—
68#16811181—21no—
69#16811158—21no—
70#16811151—21no—
71#16811136C2211yescharacteristic
72#16811136C2211yescharacteristic, complemented
73#16811132C2211yescharacteristic
74C2×#13133187—21no—
75#120×D53—21no—
76#16811105C2211yescharacteristic, complemented
77#16811104C2211yescharacteristic, complemented
78#16811095C2211yescharacteristic
79#117×D53C2211yescharacteristic, complemented
80#16810989C2211yescharacteristic, complemented
81#16810986C2211yescharacteristic, complemented
82#16810984C2211yescharacteristic, complemented
83#16810982C2211yescharacteristic, complemented
84#16810979C2211yescharacteristic, complemented
85#16810970C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic, complemented
87#16810963C2211yescharacteristic, complemented
88#16810962C2211yescharacteristic, complemented
89#16810961C2211yescharacteristic, complemented
90#16810950C2211yescharacteristic, complemented
91#16810949C2211yescharacteristic, complemented
92#16810949C2211yescharacteristic, complemented
93#16810948C2211yescharacteristic, complemented
94#16810948C2211yescharacteristic, complemented
95#16810947C2211yescharacteristic, complemented
96#16810946C2211yescharacteristic, complemented
97#16810944C2211yescharacteristic, complemented
98#16810943C2211yescharacteristic, complemented
99#16810936C2211yescharacteristic, complemented
100#16810935C2211yescharacteristic, complemented
101#16810925C2211yescharacteristic, complemented
102#16810922C2211yescharacteristic, complemented
103#16810920C2211yescharacteristic, complemented
104#16810914C2211yescharacteristic, complemented
105#16810911C2211yescharacteristic, complemented
106#16810903C2211yescharacteristic, complemented
107#16810902C2211yescharacteristic, complemented
108#16810878C2211yescharacteristic, complemented
109#16810877C2211yescharacteristic, complemented
110#16810876C2211yescharacteristic, complemented
111#16810876C2211yescharacteristic, complemented
112#16810875C2211yescharacteristic, complemented
113#16810872C2211yescharacteristic, complemented
114#16810872C2211yescharacteristic, complemented
115#16810872C2211yescharacteristic, complemented
116#16810871C2211yescharacteristic, complemented
117#16810871C2211yescharacteristic, complemented
118#16810860C2211yescharacteristic, complemented
119#16810857C2211yescharacteristic, complemented
120#16810854C2211yescharacteristic, complemented
121#16810849C2211yescharacteristic, complemented
122#16810847C2211yescharacteristic, complemented
123#16810841C2211yescharacteristic, complemented
124#16810835C2211yescharacteristic, complemented
125#16810823C2211yescharacteristic, complemented
126#16810821C2211yescharacteristic, complemented
127#16810819C2211yescharacteristic, complemented
128#16810817C2211yescharacteristic, complemented
129#16810784C2211yescharacteristic, complemented
130#16810773C2211yescharacteristic, complemented
131#16810773C2211yescharacteristic, complemented
132#16810772C2211yescharacteristic, complemented
133#16810772C2211yescharacteristic, complemented
134#16810772C2211yescharacteristic, complemented
135#16810771C2211yescharacteristic, complemented
136#16810768C2211yescharacteristic, complemented
137#16810759C2211yescharacteristic, complemented
138#16810759C2211yescharacteristic, complemented
139#16810758C2211yescharacteristic, complemented
140#16810758C2211yescharacteristic, complemented
141#16810758C2211yescharacteristic, complemented
142#16810757C2211yescharacteristic, complemented
143#16810734C2211yescharacteristic, complemented
144#16810733C2211yescharacteristic, complemented
145#16810724C2211yescharacteristic, complemented
146#16810721C2211yescharacteristic, complemented
147#16810708C2211yescharacteristic, complemented
148C4×D424C2211yescharacteristic, complemented
149#16810703C2211yescharacteristic, complemented
150#16810702C2211yescharacteristic, complemented
151#16810699C2211yescharacteristic, complemented
152#16810699C2211yescharacteristic, complemented
153#16810697C2211yescharacteristic, complemented
154#16810695C2211yescharacteristic, complemented
155#16810693C2211yescharacteristic, complemented
156#16810691C2211yescharacteristic, complemented
157#16810664C2211yescharacteristic, complemented
158#16810662C2211yescharacteristic, complemented
159#16810658C2211yescharacteristic, complemented
160#16810648C2211yescharacteristic, complemented
161#16810629C2211yescharacteristic, complemented
162#16810629C2211yescharacteristic, complemented
163#16810628C2211yescharacteristic, complemented
164#16810627C2211yescharacteristic, complemented
165#16810626C2211yescharacteristic
166#16810626C2211yescharacteristic, complemented
167#16810626C2211yescharacteristic, complemented
168#16810626C2211yescharacteristic, complemented
169#16810626C2211yescharacteristic, complemented
170#16810626C2211yescharacteristic, complemented
171#16810626C2211yescharacteristic, complemented
172#16810623C2211yescharacteristic, complemented
173#16810623C2211yescharacteristic, complemented
174#16810623C2211yescharacteristic, complemented
175#16810619C2211yescharacteristic, complemented
176#16810618C2211yescharacteristic, complemented
177#16810618C2211yescharacteristic, complemented
178#16810618C2211yescharacteristic, complemented
179C2×#13133137C2211yescharacteristic, complemented
180#102×D53C2211yescharacteristic
181#102×D53C2211yescharacteristic
182#102×D53C2211yescharacteristic, complemented
183#102×D53C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186#16810585C2211yescharacteristic, complemented
187#16810577C2211yescharacteristic, complemented
188C53×#552C2211yescharacteristic, complemented
189C53×#546C2211yescharacteristic
190C53×#488C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#481C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#470C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic, complemented
198C53×#450C2211yescharacteristic, complemented
199C4×SD16×C53C2211yescharacteristic, complemented
200C53×#436C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic, complemented
202C53×#417C2211yescharacteristic, complemented
203C24×D53—21no—
204#13133263—24no—
205#13133263—42no—
206C2×#11719949C2311yescharacteristic
207C2×#11719949C2311yescharacteristic
208C2×#11719949C2311yescharacteristic
209C2×#11719945—21no—
210C2×#11719945C2311yescharacteristic
211C22×D212—21no—
212C22×D212—21no—
213C22×D212C2311yescharacteristic
214C22×D212C2311yescharacteristic
215C22×C22⋊D53—21no—
216C22×C22⋊D53—21no—
217C2×D4×D53—24no—
218C2×D4×D53—21no—
219C2×D4×D53—21no—
220C2×D4×D53—21no—
221C2×D4×D53—21no—
222C2×D4×D53—21no—
223C2×D4×D53—21no—
224C2×D4×D53—42no—
225C2×D4×D53C2311yescharacteristic
226C2×D4×D53C2311yescharacteristic
227C2×D4×D53C2311yescharacteristic
228C2×D4×D53C2311yescharacteristic
229C2×D4×D53C2311yescharacteristic
230C22×C4×D53C2311yescharacteristic
231#13133244—24no—
232#13133244—42no—
233#13133240—42no—
234C2×#11719924C2311yescharacteristic
235C2×#11719924C2311yescharacteristic
236C2×#11719924C2311yescharacteristic, complemented
237C2×#11719924C2311yescharacteristic, complemented
238C2×D424C2311yescharacteristic
239C2×D424C2311yescharacteristic
240C2×D424C2311yescharacteristic, complemented
241C2×#11719922C2311yescharacteristic
242C2×#11719922C2311yescharacteristic
243#13133225—42no—
244C2×#11719917C2311yescharacteristic
245C2×#11719912C2311yescharacteristic
246C2×#11719912C2311yescharacteristic
247C2×#11719912C2311yescharacteristic
248C2×#11719912C2311yescharacteristic
249C2×#11719912C2311yescharacteristic, complemented
250M16×D53—42no—
251C22×#88322C2311yescharacteristic, complemented
252C2×C8×D53C2311yescharacteristic
253C2×C8×D53C2311yescharacteristic
254C2×C8×D53C2311yescharacteristic, complemented
255#13133217C2311yescharacteristic, complemented
256#13133216—21no—
257#13133216C2311yescharacteristic, complemented
258#13133214C2311yescharacteristic
259#13133213—21no—
260#13133213C2311yescharacteristic
261#13133212—21no—
262#13133212—21no—
263#13133212—21no—
264#13133212—21no—
265#13133212—21no—
266#13133210—21no—
267#13133210—21no—
268#13133208C2311yescharacteristic, complemented
269#13133207—21no—
270#13133207—21no—
271#13133206C2311yescharacteristic
272#13133205—21no—
273#13133205—21no—
274#13133203—21no—
275#13133203—21no—
276#13133203—21no—
277#13133203—21no—
278#13133203—21no—
279#13133202—21no—
280#13133202—21no—
281#13133202—21no—
282#13133202—21no—
283#13133202—21no—
284#13133202D411yescharacteristic
285#13133200—21no—
286#13133199—21no—
287#13133199—21no—
288#13133199D411yescharacteristic
289#13133197—21no—
290#13133195—21no—
291#13133195—21no—
292#13133195D411yescharacteristic
293#13133194D411yescharacteristic
294#13133193C2311yescharacteristic
295#13133193C2311yescharacteristic
296#13133193C2311yescharacteristic, complemented
297#13133192—21no—
298#13133192—21no—
299#13133192—21no—
300#13133192—21no—
301#13133192C2311yescharacteristic
302#13133192C2311yescharacteristic
303#13133192C2311yescharacteristic
304#13133192C2311yescharacteristic, complemented
305#13133191—21no—
306#13133191—21no—
307#13133191C2311yescharacteristic
308#13133191C2311yescharacteristic
309#13133191C2311yescharacteristic
310#13133191C2311yescharacteristic, complemented
311#13133190—21no—
312#13133190—21no—
313#13133190—21no—
314#13133190—21no—
315#13133190—21no—
316#13133190—21no—
317#13133190—21no—
318#13133190D411yescharacteristic
319#13133189—21no—
320#13133189—21no—
321#13133189D411yescharacteristic
322#13133188—21no—
323#13133188C2311yescharacteristic
324#13133187—21no—
325#13133187—21no—
326#13133187—21no—
327#13133187—21no—
328#13133187—21no—
329#13133187—21no—
330#13133187—21no—
331#13133187—21no—
332#13133187—21no—
333#13133187—21no—
334#13133187—21no—
335#13133187—21no—
336#13133187D411yescharacteristic
337#13133186—21no—
338#13133185—21no—
339#13133185—21no—
340#13133185—21no—
341#13133185—21no—
342#13133185D411yescharacteristic
343Q8×Dic53C2311yescharacteristic, complemented
344C4×Dic106—21no—
345#13133182—21no—
346#13133182—21no—
347C4×D212—21no—
348C4×D212C2311yescharacteristic
349C4×D212C2311yescharacteristic
350C4×D212C2311yescharacteristic, complemented
351D4×Dic53C2311yescharacteristic
352#13133179—21no—
353#13133179—21no—
354#13133179—21no—
355#13133179—21no—
356#13133179—21no—
357#13133179C2311yescharacteristic
358#13133179C2311yescharacteristic, complemented
359C4×C22⋊D53—21no—
360C4×C22⋊D53—21no—
361C4×C22⋊D53—21no—
362C4×C22⋊D53—21no—
363C4×C22⋊D53C2311yescharacteristic
364C4×C22⋊D53C2311yescharacteristic
365#13133177—21no—
366#13133177—21no—
367#13133177—21no—
368#13133176C2311yescharacteristic
369#13133176C2311yescharacteristic, complemented
370#13133175—21no—
371#13133175—21no—
372#13133175C2311yescharacteristic
373#13133175C2311yescharacteristic
374#13133175C2311yescharacteristic
375#13133175C2311yescharacteristic
376#13133175C2311yescharacteristic, complemented
377#13133174—21no—
378#13133174—21no—
379#13133174—21no—
380#13133174C2311yescharacteristic
381#13133173—21no—
382C4⋊C4×D53—21no—
383C4⋊C4×D53C2311yescharacteristic
384C4⋊C4×D53C2311yescharacteristic
385C4⋊C4×D53C2311yescharacteristic, complemented
386C2×#11719921—21no—
387C2×#11719921—21no—
388C22⋊C4×D53—21no—
389C22⋊C4×D53—21no—
390C22⋊C4×D53—21no—
391C22⋊C4×D53—21no—
392C42×D53—21no—
393#13133151C2311yescharacteristic, complemented
394#13133150C2311yescharacteristic, complemented
395#13133150C2311yescharacteristic, complemented
396#13133150C2311yescharacteristic, complemented
397#13133150C2311yescharacteristic, complemented
398#13133149C2311yescharacteristic, complemented
399#13133149C2311yescharacteristic, complemented
400#13133148C2311yescharacteristic, complemented
401#13133148C2311yescharacteristic, complemented
402C4⋊#88322C2311yescharacteristic, complemented
403#13133146C2311yescharacteristic, complemented
404#13133146C2311yescharacteristic, complemented
405#13133141C2311yescharacteristic, complemented
406#13133141C2311yescharacteristic, complemented
407#13133141C2311yescharacteristic, complemented
408#13133141C2311yescharacteristic, complemented
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic, complemented
416#13133139C2311yescharacteristic, complemented
417#13133139C2311yescharacteristic, complemented
418#13133139C2311yescharacteristic, complemented
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic, complemented
432#13133137C2311yescharacteristic, complemented
433#13133137C2311yescharacteristic, complemented
434#13133137C2311yescharacteristic, complemented
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic, complemented
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic, complemented
440#13133129C2311yescharacteristic, complemented
441#13133128C2311yescharacteristic, complemented
442#13133127C2311yescharacteristic, complemented
443C8×Dic53C2311yescharacteristic, complemented
444C2×#41×C53C2311yescharacteristic
445C22×D4×C53C2311yescharacteristic
446C2×Q16×C53C2311yescharacteristic, complemented
447C2×SD16×C53C2311yescharacteristic
448C2×SD16×C53C2311yescharacteristic
449C2×M16×C53C2311yescharacteristic
450C2×M16×C53C2311yescharacteristic, complemented
451#126×C53—21no—
452#125×C53—21no—
453#125×C53C2311yescharacteristic, complemented
454#124×C53C2311yescharacteristic
455#123×C53—21no—
456#123×C53—21no—
457C22⋊Q8×C53C2311yescharacteristic
458C22⋊Q8×C53C2311yescharacteristic
459C22⋊Q8×C53C2311yescharacteristic, complemented
460#121×C53—21no—
461#121×C53C2311yescharacteristic
462#120×C53—21no—
463C4×Q8×C53C2311yescharacteristic, complemented
464C4×D4×C53C2311yescharacteristic
465C4×D4×C53C2311yescharacteristic
466#117×C53—21no—
467#117×C53C2311yescharacteristic
468C2×C4⋊C4×C53C2311yescharacteristic, complemented
469C2×C22⋊C4×C53—21no—
470#107×C53C2311yescharacteristic, complemented
471#106×C53C2311yescharacteristic, complemented
472#106×C53C2311yescharacteristic, complemented
473C4⋊C8×C53C2311yescharacteristic, complemented
474#103×C53C2311yescharacteristic, complemented
475#103×C53C2311yescharacteristic, complemented
476#103×C53C2311yescharacteristic, complemented
477#103×C53C2311yescharacteristic, complemented
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484C22⋊C8×C53C2311yescharacteristic
485C22⋊C8×C53C2311yescharacteristic, complemented
486C4×C8×C53C2311yescharacteristic, complemented
487C24×C53—21no—
488C23×D53—21no—
489C23×D53—21no—
490C23×D53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53—21no—
495C23×D53—44no—
496C23×D53—82no—
497C23×D53—82no—
498C23×D53C2×D411yescharacteristic
499#41×C53—22no—
500#41×C53—41no—
501C2×Q8×C53C2411yescharacteristic
502C2×Q8×C53C2411yescharacteristic
503C2×D4×C53—22no—
504C2×D4×C53—21no—
505C2×D4×C53—21no—
506C2×D4×C53—21no—
507C2×D4×C53—41no—
508C2×D4×C53C2×D411yescharacteristic
509C2×D4×C53C2411yescharacteristic
510C2×D4×C53C2411yescharacteristic
511C22×C4×C53—21no—
512C22×C4×C53—21no—
513C22×C4×C53—21no—
514C22×C4×C53C2411yescharacteristic
515C22×C4×C53C2411yescharacteristic
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—21no—
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—44no—
529C2×C22⋊D53—82no—
530C2×C22⋊D53C2×D411yescharacteristic
531C2×C22⋊D53C2×D411yescharacteristic
532C2×C22⋊D53C2×D411yescharacteristic
533C2×C22⋊D53C2×D411yescharacteristic
534C22×Dic53—21no—
535C22×Dic53C2×D411yescharacteristic
536#11719949—22no—
537#11719949—22no—
538#11719949—22no—
539#11719949—22no—
540#11719949—22no—
541#11719949—41no—
542D4×D53—22no—
543D4×D53—22no—
544D4×D53—22no—
545D4×D53—22no—
546D4×D53—22no—
547D4×D53—22no—
548D4×D53—41no—
549D4×D53—41no—
550D4×D53—41no—
551D4×D53—44no—
552D4×D53—44no—
553D4×D53—44no—
554D4×D53—44no—
555D4×D53—82no—
556D4×D53—82no—
557D4×D53#4114yes—
558#11719945—22no—
559#11719945—22no—
560#11719945—44no—
561C2×D212—22no—
562C2×D212—22no—
563C2×D212—21no—
564C2×D212—21no—
565C2×D212—21no—
566C2×D212—21no—
567C2×D212—21no—
568C2×D212—21no—
569C2×D212—21no—
570C2×D212—21no—
571C2×D212—21no—
572C2×D212—21no—
573C2×D212—21no—
574C2×D212—41no—
575C2×D212—41no—
576C2×D212—44no—
577C2×D212—82no—
578C2×D212C2×D411yescharacteristic
579C2×D212C2×D411yescharacteristic
580C2×D212C2411yescharacteristic
581C2×D212C2411yescharacteristic
582C2×D212C2411yescharacteristic
583C2×D212C2411yescharacteristic
584C2×C4×D53—22no—
585C2×C4×D53—22no—
586C2×C4×D53—21no—
587C2×C4×D53—21no—
588C2×C4×D53—21no—
589C2×C4×D53—21no—
590C2×C4×D53—21no—
591C2×C4×D53—21no—
592C2×C4×D53—21no—
593C2×C4×D53—21no—
594C2×C4×D53—21no—
595C2×C4×D53—21no—
596C2×C4×D53C2×D411yescharacteristic
597C2×C4×D53C2×D411yescharacteristic
598C2×C4×D53C2411yescharacteristic
599C2×C4×D53C2411yescharacteristic
600C2×C4×D53C2411yescharacteristic
601C2×Dic106—21no—
602C2×Dic106—21no—
603C2×Dic106C2×D411yescharacteristic
604Q16×C53—41no—
605SD16×C53—22no—
606SD16×C53—41no—
607M16×C53—41no—
608M16×C53—41no—
609C2×C8×C53C2411yescharacteristic
610C2×C8×C53C2411yescharacteristic
611C2×C8×C53C2411yescharacteristic
612C2×C8×C53C2411yescharacteristic
613C4⋊C4×C53—21no—
614C4⋊C4×C53—21no—
615C4⋊C4×C53—21no—
616C4⋊C4×C53—21no—
617C4⋊C4×C53—21no—
618C4⋊C4×C53—21no—
619C4⋊C4×C53—21no—
620C4⋊C4×C53C2×D411yescharacteristic
621C4⋊C4×C53C2411yescharacteristic
622C4⋊C4×C53C2411yescharacteristic
623C4⋊C4×C53C2411yescharacteristic
624C4⋊C4×C53C2411yescharacteristic
625C22⋊C4×C53—21no—
626C22⋊C4×C53—21no—
627C22⋊C4×C53—21no—
628C22⋊C4×C53—21no—
629C22⋊C4×C53—21no—
630C22⋊C4×C53—21no—
631C22⋊C4×C53—21no—
632C22⋊C4×C53—21no—
633C22⋊C4×C53C2×D411yescharacteristic
634C22⋊C4×C53C2×D411yescharacteristic
635C42×C53—21no—
636C42×C53—21no—
637C42×C53C2411yescharacteristic
638C22⋊Dic53—21no—
639C22⋊Dic53—21no—
640C22⋊Dic53—21no—
641C22⋊Dic53—21no—
642C22⋊Dic53C2×D411yescharacteristic
643C22⋊Dic53C2×D411yescharacteristic
644#11719924—22no—
645#11719924—41no—
646#11719924—41no—
647#11719924—41no—
648#11719922—22no—
649#11719922—41no—
650#11719921—21no—
651#11719921—21no—
652#11719921—21no—
653#11719921—21no—
654#11719921—21no—
655#11719921—21no—
656#11719921—21no—
657#11719921—21no—
658#11719921—21no—
659#11719921—21no—
660#11719921—21no—
661#11719921—21no—
662#11719921—21no—
663#11719921—21no—
664#11719921—21no—
665#11719921—21no—
666#11719921—21no—
667#11719921—21no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
672#11719921C2×D411yescharacteristic
673#11719921C2×D411yescharacteristic
674#11719921C2×D411yescharacteristic
675#11719921C2×D411yescharacteristic
676#11719921C2×D411yescharacteristic
677#11719921C2×D411yescharacteristic
678C4⋊Dic53—21no—
679C4⋊Dic53—21no—
680C4⋊Dic53—21no—
681C4⋊Dic53C2×D411yescharacteristic
682C4⋊Dic53C2411yescharacteristic
683C4⋊Dic53C2411yescharacteristic
684C4⋊Dic53C2411yescharacteristic
685C4⋊Dic53C2411yescharacteristic
686#11719919—21no—
687#11719919—21no—
688#11719919—21no—
689#11719919—21no—
690#11719919—21no—
691#11719919—21no—
692#11719919—21no—
693#11719919—21no—
694#11719919C2×D411yescharacteristic
695#11719919C2×D411yescharacteristic
696#11719919C2×D411yescharacteristic
697#11719919C2×D411yescharacteristic
698C4×Dic53—21no—
699C4×Dic53—21no—
700C4×Dic53—21no—
701C4×Dic53—21no—
702C4×Dic53—21no—
703C4×Dic53—21no—
704C4×Dic53—21no—
705C4×Dic53—21no—
706C4×Dic53C2411yescharacteristic
707#11719917—41no—
708C2×#88322—41no—
709C2×#88322C2411yescharacteristic
710C2×#88322C2411yescharacteristic
711C2×#88322C2411yescharacteristic
712C2×#88322C2411yescharacteristic
713D424—22no—
714D424—41no—
715D424—41no—
716#11719912—22no—
717#11719912—22no—
718#11719912—41no—
719#11719912—41no—
720#11719912—41no—
721C8×D53—22no—
722C8×D53—22no—
723C8×D53—41no—
724C23×C53—21no—
725C23×C53—21no—
726C23×C53—42no—
727C23×C53—42no—
728C23×C53—81no—
729C23×C53C22×D411yescharacteristic
730C23×C53C22×D411yescharacteristic
731C22×D53—21no—
732C22×D53—22no—
733C22×D53—24no—
734C22×D53—21no—
735C22×D53—21no—
736C22×D53—21no—
737C22×D53—41no—
738C22×D53—41no—
739C22×D53—42no—
740C22×D53—42no—
741C22×D53—42no—
742C22×D53—42no—
743C22×D53—42no—
744C22×D53—42no—
745C22×D53—42no—
746C22×D53—42no—
747C22×D53—42no—
748C22×D53—81no—
749C22×D53—81no—
750C22×D53—81no—
751C22×D53—81no—
752C22×D53—81no—
753C22×D53—81no—
754C22×D53—81no—
755C22×D53—81no—
756C22×D53—81no—
757C22×D53—81no—
758C22×D53—81no—
759C22×D53—816no—
760C22×D53C22×D411yescharacteristic
761C22×D53C22×D411yescharacteristic
762C22×D53C22×D411yescharacteristic
763Q8×C53—21no—
764Q8×C53—21no—
765Q8×C53—21no—
766Q8×C53—21no—
767D4×C53—21no—
768D4×C53—21no—
769D4×C53—21no—
770D4×C53—41no—
771D4×C53—42no—
772D4×C53—42no—
773D4×C53—81no—
774D4×C53C2×#4112yes—
775C2×C4×C53—21no—
776C2×C4×C53—21no—
777C2×C4×C53—21no—
778C2×C4×C53—21no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—21no—
782C2×C4×C53—21no—
783C2×C4×C53—21no—
784C2×C4×C53—21no—
785C2×C4×C53—42no—
786C2×C4×C53—81no—
787C2×C4×C53—81no—
788C2×C4×C53C22×D411yescharacteristic
789C2×C4×C53C22×D411yescharacteristic
790C2×C4×C53C22×D411yescharacteristic
791C2×C4×C53C22×D411yescharacteristic
792C2×C4×C53C2511yescharacteristic
793C22⋊D53—22no—
794C22⋊D53—22no—
795C22⋊D53—24no—
796C22⋊D53—41no—
797C22⋊D53—41no—
798C22⋊D53—42no—
799C22⋊D53—42no—
800C22⋊D53—42no—
801C22⋊D53—42no—
802C22⋊D53—42no—
803C22⋊D53—81no—
804C22⋊D53—81no—
805C22⋊D53—81no—
806C22⋊D53—81no—
807C22⋊D53—81no—
808C22⋊D53—81no—
809C2×Dic53—22no—
810C2×Dic53—21no—
811C2×Dic53—21no—
812C2×Dic53—21no—
813C2×Dic53—21no—
814C2×Dic53—81no—
815C2×Dic53C22×D411yescharacteristic
816C2×Dic53C22×D411yescharacteristic
817C2×Dic53C22×D411yescharacteristic
818C2×Dic53C22×D411yescharacteristic
819C2×Dic53C22×D411yescharacteristic
820D212—22no—
821D212—21no—
822D212—21no—
823D212—21no—
824D212—21no—
825D212—21no—
826D212—21no—
827D212—21no—
828D212—41no—
829D212—42no—
830D212—42no—
831D212—42no—
832D212—42no—
833D212—42no—
834D212—42no—
835D212—81no—
836D212—81no—
837D212—81no—
838D212—81no—
839D212—81no—
840D212C2×#4112yes—
841C4×D53—22no—
842C4×D53—21no—
843C4×D53—21no—
844C4×D53—21no—
845C4×D53—21no—
846C4×D53—22no—
847C4×D53—42no—
848C4×D53—42no—
849C4×D53—42no—
850C4×D53—81no—
851C4×D53—81no—
852C4×D53—81no—
853C4×D53—81no—
854C4×D53—81no—
855C4×D53—81no—
856C4×D53—81no—
857C4×D53C2×#4112yes—
858C4×D53H(5,𝔽2)12yes—
859Dic106—22no—
860Dic106—81no—
861Dic106—81no—
862C8×C53—21no—
863C8×C53—21no—
864C8×C53—21no—
865C8×C53—21no—
866#88322—21no—
867#88322—21no—
868#88322—21no—
869#88322—21no—
870#61175—531nomaximal, Sylow
871C22×C53—21no—
872C22×C53—21no—
873C22×C53—21no—
874C22×C53—21no—
875C22×C53—21no—
876C22×C53—21no—
877C22×C53—22no—
878C22×C53—41no—
879C22×C53—41no—
880C22×C53—41no—
881C22×C53—41no—
882C22×C53—41no—
883C22×C53—84no—
884C22×C53C23×D411yescharacteristic
885C2×D53—21no—
886C2×D53—21no—
887C2×D53—21no—
888C2×D53—21no—
889C2×D53—21no—
890C2×D53—21no—
891C2×D53—21no—
892C2×D53—21no—
893C2×D53—22no—
894C2×D53—44no—
895C2×D53—41no—
896C2×D53—41no—
897C2×D53—41no—
898C2×D53—41no—
899C2×D53—41no—
900C2×D53—41no—
901C2×D53—41no—
902C2×D53—41no—
903C2×D53—41no—
904C2×D53—41no—
905C2×D53—41no—
906C2×D53—84no—
907C2×D53—84no—
908C2×D53—84no—
909C2×D53—84no—
910C2×D53—84no—
911C2×D53—162no—
912C2×D53—162no—
913C2×D53#54612yes—
914C4×C53—21no—
915C4×C53—21no—
916C4×C53—21no—
917C4×C53—21no—
918C4×C53—41no—
919C4×C53—41no—
920C4×C53—41no—
921C4×C53—41no—
922C4×C53—41no—
923C4×C53—41no—
924C4×C53C22×#4111yescharacteristic
925C4×C53C2×H(5,𝔽2)11yescharacteristic
926Dic53—21no—
927Dic53—21no—
928Dic53—21no—
929Dic53—21no—
930Dic53—41no—
931Dic53—41no—
932Dic53—41no—
933Dic53—41no—
934Dic53#54612yes—
935#3493—531no—
936#3484—531no—
937#3325—531no—
938#3325—531no—
939#3324—531no—
940#3324—531no—
941#3323—531no—
942#3323D5311yescharacteristic, complemented
943#3322—531no—
944#3322—531no—
945#3319—531no—
946#3319—531no—
947#3318—531no—
948#3318—531no—
949#3311—531no—
950#3311—531no—
951#3310—531no—
952#3310—531no—
953#3136—531no—
954#3096—531no—
955#3093—531no—
956#3081—531no—
957#3062—531no—
958#3054—531no—
959#3045—531no—
960#3012—531no—
961#3003—531no—
962#2946—531no—
963#2930—531no—
964#2897—531no—
965C2×#418—531no—
966C2×C53—41no—
967C2×C53—42no—
968C2×C53—41no—
969C2×C53—81no—
970C2×C53C2×#54611yescharacteristic
971C2×C53#358511yescharacteristic
972C2×C53#358511yescharacteristic
973D53—22no—
974D53—41no—
975D53—41no—
976D53—42no—
977D53—81no—
978D53—81no—
979D53—81no—
980C2×H(5,𝔽2)—531no—
981C23×D4—531no—
982C2×AGL(1,ℤ/8)—531no—
983C2×AGL(1,ℤ/8)—531no—
984C2×#135—531no—
985C2×#131—531no—
986C22×M16—531no—
987#556—531no—
988#556—531no—
989#556—1061no—
990#555—531no—
991#555—531no—
992#555—1061no—
993#553—531no—
994#553—531no—
995#553—1061no—
996#552—531no—
997#552—1061no—
998#552C2×D5311yescharacteristic, complemented
999#546—531no—
1000#546—531no—
1001#546—531no—
1002#546—1061no—
1003#546—1061no—
1004#546C2×D5311yescharacteristic
1005D42—531no—
1006D42—531no—
1007D42—531no—
1008D42—531no—
1009D42—1061no—
1010D42—1061no—
1011#544—531no—
1012#538—1061no—
1013#538—1061no—
1014#537—531no—
1015#535—531no—
1016#535—531no—
1017#534—1061no—
1018#534—1061no—
1019#529—1061no—
1020#529—1061no—
1021#525—531no—
1022#525—531no—
1023#525—531no—
1024C2×#120—1061no—
1025C2×#120—1061no—
1026#520—531no—
1027#520—531no—
1028#518—531no—
1029C2×#117—531no—
1030#490—531no—
1031#490—531no—
1032#489—531no—
1033#489—531no—
1034#488—531no—
1035#488C2×D5311yescharacteristic, complemented
1036#486—531no—
1037#486—531no—
1038#485—531no—
1039#485—531no—
1040#485—531no—
1041#485C2×D5311yescharacteristic, complemented
1042#482—531no—
1043#482—531no—
1044#482—531no—
1045#482—531no—
1046#482—531no—
1047#482—531no—
1048#482—531no—
1049#482—531no—
1050#481—531no—
1051#481C2×D5311yescharacteristic, complemented
1052#480—531no—
1053#480—531no—
1054#478—531no—
1055#478—531no—
1056#478—531no—
1057#478C2×D5311yescharacteristic, complemented
1058#476—531no—
1059#476—531no—
1060#474—531no—
1061#474—531no—
1062#470—531no—
1063#470C2×D5311yescharacteristic, complemented
1064#469—531no—
1065#469—531no—
1066#469—531no—
1067#469—531no—
1068#468—531no—
1069#468—531no—
1070#468—531no—
1071#468—531no—
1072#468—531no—
1073#468C2×D5311yescharacteristic, complemented
1074#466—531no—
1075#466—531no—
1076#465—531no—
1077#465—531no—
1078#464—531no—
1079#464C2×D5311yescharacteristic, complemented
1080#463—531no—
1081#463—531no—
1082#460—531no—
1083#460—531no—
1084#459—531no—
1085#459—531no—
1086#452—531no—
1087#452C2×D5311yescharacteristic, complemented
1088#450—531no—
1089#450—531no—
1090#450—531no—
1091#450—531no—
1092#450—531no—
1093#450C2×D5311yescharacteristic, complemented
1094#449—531no—
1095#449—531no—
1096#447—531no—
1097#447—531no—
1098#447—531no—
1099#447—531no—
1100#447—531no—
1101#447—531no—
1102#442—531no—
1103#442—531no—
1104#440—531no—
1105#440—531no—
1106C4×SD16—531no—
1107C4×SD16C2×D5311yescharacteristic, complemented
1108C4×D8—531no—
1109C4×D8—531no—
1110#436—531no—
1111#436—531no—
1112#436—531no—
1113#436C2×D5311yescharacteristic, complemented
1114#435—531no—
1115#435—531no—
1116#435—531no—
1117#435—531no—
1118#428—531no—
1119#428—531no—
1120#427—531no—
1121#424—531no—
1122#418—531no—
1123#418—531no—
1124#418—531no—
1125#418—531no—
1126#418—531no—
1127#418—531no—
1128#418—531no—
1129#418—531no—
1130#418—531no—
1131#418—531no—
1132#418—531no—
1133#418C2×D5311yescharacteristic, complemented
1134#417—531no—
1135#417—531no—
1136#417—531no—
1137#417C2×D5311yescharacteristic, complemented
1138#416—531no—
1139#416—531no—
1140#416—531no—
1141#416—531no—
1142C2×#102—531no—
1143C2×#102—531no—
1144C2×#102—531no—
1145C2×#102—531no—
1146C2×#102—531no—
1147C2×#102—531no—
1148#408—531no—
1149#407—531no—
1150#405—531no—
1151C53#6117511yescharacteristic, complemented, Sylow
1152C25—1061no—
1153H(5,𝔽2)—1064no—
1154H(5,𝔽2)—2122no—
1155C2×#41—531no—
1156C2×#41—531no—
1157C2×#41—531no—
1158C2×#41—531no—
1159C2×#41—1061no—
1160C2×#41C22×D5311yescharacteristic
1161C22×D4—531no—
1162C22×D4—531no—
1163C22×D4—531no—
1164C22×D4—531no—
1165C22×D4—531no—
1166C22×D4—531no—
1167C22×D4—531no—
1168C22×D4—1061no—
1169C22×D4—1061no—
1170C22×D4—1061no—
1171C22×D4—1061no—
1172C22×D4—1061no—
1173C22×D4—1064no—
1174C22×D4—1061no—
1175C22×D4—1061no—
1176C22×D4—1061no—
1177C22×D4—1061no—
1178C22×D4—1061no—
1179C22×D4—2122no—
1180C22×D4C22×D5311yescharacteristic
1181C23×C4—531no—
1182AGL(1,ℤ/8)—1064no—
1183AGL(1,ℤ/8)—2122no—
1184#135—2122no—
1185C2×Q16C22×D5311yescharacteristic, complemented
1186C2×SD16—531no—
1187C2×SD16—531no—
1188C2×SD16—531no—
1189C2×SD16—531no—
1190C2×SD16C22×D5311yescharacteristic
1191C2×SD16C22×D5311yescharacteristic
1192C2×D8—531no—
1193C2×D8—531no—
1194C2×D8—531no—
1195C2×D8—531no—
1196C2×D8—531no—
1197#131—2122no—
1198C2×M16—531no—
1199C2×M16—531no—
1200C2×M16—531no—
1201C2×M16—531no—
1202C2×M16—531no—
1203C2×M16—531no—
1204C2×M16—2122no—
1205C2×M16C22×D5311yescharacteristic
1206C2×M16C22×D5311yescharacteristic, complemented
1207C22×C8—531no—
1208C22×C8—531no—
1209C22×C8—531no—
1210C22×C8—531no—
1211C4⋊Q8—531no—
1212C4⋊Q8—531no—
1213C4⋊Q8—1061no—
1214#127—531no—
1215#127—531no—
1216#127—1061no—
1217#126—21no—
1218#126—1061no—
1219#126—1061no—
1220#126—1061no—
1221#126—1061no—
1222#126—1061no—
1223#126—1061no—
1224#126—1061no—
1225#125—21no—
1226#125—531no—
1227#125—1061no—
1228#125—1061no—
1229#125C22×D5311yescharacteristic, complemented
1230#124—531no—
1231#124—1061no—
1232#124—1061no—
1233#124—1061no—
1234#124—1061no—
1235#124—1061no—
1236#124—1061no—
1237#124—1061no—
1238#124C22×D5311yescharacteristic
1239#123—21no—
1240#123—21no—
1241#123—531no—
1242#123—531no—
1243#123—1061no—
1244#123—1061no—
1245#123—1061no—
1246#123—1061no—
1247#123—1061no—
1248#123—1061no—
1249#123—1061no—
1250#123—1061no—
1251C22⋊Q8—531no—
1252C22⋊Q8—531no—
1253C22⋊Q8—531no—
1254C22⋊Q8—531no—
1255C22⋊Q8—531no—
1256C22⋊Q8—1061no—
1257C22⋊Q8—1061no—
1258C22⋊Q8—1061no—
1259C22⋊Q8C22×D5311yescharacteristic
1260C22⋊Q8C22×D5311yescharacteristic
1261C22⋊Q8C22×D5311yescharacteristic, complemented
1262#121—21no—
1263#121—531no—
1264#121—531no—
1265#121—531no—
1266#121—531no—
1267#121—531no—
1268#121—531no—
1269#121—531no—
1270#121—531no—
1271#121—531no—
1272#121—531no—
1273#121—531no—
1274#121—1061no—
1275#121—1061no—
1276#121—1061no—
1277#121—1061no—
1278#121—1061no—
1279#121—1061no—
1280#121—1061no—
1281#121—1061no—
1282#121—1061no—
1283#121—1061no—
1284#121—1061no—
1285#121—1061no—
1286#121—1061no—
1287#121—1061no—
1288#121—1061no—
1289#121—1061no—
1290#121C22×D5311yescharacteristic
1291#120—21no—
1292#120—531no—
1293#120—531no—
1294#120—1061no—
1295#120—1061no—
1296#120—1061no—
1297#120—1061no—
1298#120—1061no—
1299#120—1061no—
1300#120—1061no—
1301#120—1061no—
1302#120—1061no—
1303#120—1061no—
1304#120—1061no—
1305#120—1061no—
1306#120—1061no—
1307#120—1061no—
1308#120—1061no—
1309#120—1061no—
1310#120—1061no—
1311C4×Q8—531no—
1312C4×Q8—1061no—
1313C4×Q8—1061no—
1314C4×Q8—1061no—
1315C4×Q8C22×D5311yescharacteristic, complemented
1316C4×D4—531no—
1317C4×D4—531no—
1318C4×D4—531no—
1319C4×D4—531no—
1320C4×D4—531no—
1321C4×D4—531no—
1322C4×D4—531no—
1323C4×D4—531no—
1324C4×D4—1061no—
1325C4×D4—1061no—
1326C4×D4—1061no—
1327C4×D4—1061no—
1328C4×D4—1061no—
1329C4×D4—1061no—
1330C4×D4—1061no—
1331C4×D4—1061no—
1332C4×D4—1061no—
1333C4×D4—1061no—
1334C4×D4—1061no—
1335C4×D4—1061no—
1336C4×D4—1061no—
1337C4×D4C22×D5311yescharacteristic
1338C4×D4C22×D5311yescharacteristic
1339#117—21no—
1340#117—531no—
1341#117—531no—
1342#117—531no—
1343#117—531no—
1344#117—531no—
1345#117—531no—
1346#117—531no—
1347#117—531no—
1348#117—1061no—
1349#117—1061no—
1350#117—1061no—
1351#117—1061no—
1352#117—1061no—
1353#117—1061no—
1354#117C22×D5311yescharacteristic
1355C2×C4⋊C4—531no—
1356C2×C4⋊C4—531no—
1357C2×C4⋊C4—531no—
1358C2×C4⋊C4—1061no—
1359C2×C4⋊C4C22×D5311yescharacteristic, complemented
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—1061no—
1362C2×C22⋊C4—1061no—
1363C2×C22⋊C4—1061no—
1364C2×C22⋊C4—1061no—
1365C2×C22⋊C4—1061no—
1366C2×C22⋊C4—1061no—
1367C2×C42—1061no—
1368#107—531no—
1369#107—531no—
1370#107—531no—
1371#107—531no—
1372#107—531no—
1373#107C22×D5311yescharacteristic, complemented
1374#106—531no—
1375#106—531no—
1376#106—531no—
1377#106—531no—
1378#106C22×D5311yescharacteristic, complemented
1379#106C22×D5311yescharacteristic, complemented
1380C4⋊C8—531no—
1381C4⋊C8—531no—
1382C4⋊C8—531no—
1383C4⋊C8C22×D5311yescharacteristic, complemented
1384#103—531no—
1385#103—531no—
1386#103—531no—
1387#103—531no—
1388#103C22×D5311yescharacteristic, complemented
1389#103C22×D5311yescharacteristic, complemented
1390#103C22×D5311yescharacteristic, complemented
1391#103C22×D5311yescharacteristic, complemented
1392#102—531no—
1393#102—531no—
1394#102—531no—
1395#102—531no—
1396#102—531no—
1397#102—531no—
1398#102—531no—
1399#102—531no—
1400#102—531no—
1401#102—531no—
1402#102—531no—
1403#102—531no—
1404#102—531no—
1405#102—531no—
1406#102—531no—
1407#102—531no—
1408#102—531no—
1409#102—531no—
1410#102—531no—
1411#102—531no—
1412#102—531no—
1413#102—531no—
1414#102—531no—
1415#102—531no—
1416#102—531no—
1417#102—531no—
1418#102C22×D5311yescharacteristic
1419#102C22×D5311yescharacteristic
1420#102C22×D5311yescharacteristic
1421#102C22×D5311yescharacteristic
1422#102C22×D5311yescharacteristic
1423#102C22×D5311yescharacteristic
1424C22⋊C8—531no—
1425C22⋊C8—531no—
1426C22⋊C8—531no—
1427C22⋊C8—531no—
1428C22⋊C8—531no—
1429C22⋊C8—531no—
1430C22⋊C8C22×D5311yescharacteristic
1431C22⋊C8C22×D5311yescharacteristic, complemented
1432#97—531no—
1433#97—531no—
1434C4×C8—531no—
1435C4×C8C22×D5311yescharacteristic, complemented
1436C24—21no—
1437C24—531no—
1438C24—1061no—
1439C24—1061no—
1440C24—1061no—
1441C24—1061no—
1442C24—1061no—
1443C24—1061no—
1444C24—1061no—
1445C24—4242no—
1446C24—4242no—
1447C24—2124no—
1448#41—22no—
1449#41—41no—
1450#41—1062no—
1451#41—1062no—
1452#41—1062no—
1453#41—1062no—
1454#41—1062no—
1455#41—1062no—
1456#41—1062no—
1457#41—2124no—
1458#41—2121no—
1459C2×Q8—531no—
1460C2×Q8—1061no—
1461C2×Q8—1061no—
1462C2×Q8C23×D5311yescharacteristic
1463C2×Q8C23×D5311yescharacteristic
1464C2×D4—22no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—41no—
1469C2×D4—534no—
1470C2×D4—531no—
1471C2×D4—531no—
1472C2×D4—531no—
1473C2×D4—531no—
1474C2×D4—531no—
1475C2×D4—531no—
1476C2×D4—531no—
1477C2×D4—531no—
1478C2×D4—531no—
1479C2×D4—531no—
1480C2×D4—1062no—
1481C2×D4—1062no—
1482C2×D4—1061no—
1483C2×D4—1061no—
1484C2×D4—1061no—
1485C2×D4—1061no—
1486C2×D4—1061no—
1487C2×D4—1061no—
1488C2×D4—1061no—
1489C2×D4—1062no—
1490C2×D4—1062no—
1491C2×D4—1062no—
1492C2×D4—1061no—
1493C2×D4—1061no—
1494C2×D4—1061no—
1495C2×D4—1061no—
1496C2×D4—1061no—
1497C2×D4—1061no—
1498C2×D4—1061no—
1499C2×D4—1062no—
1500C2×D4—1062no—
1501C2×D4—1062no—
1502C2×D4—1061no—
1503C2×D4—1061no—
1504C2×D4—1061no—
1505C2×D4—1061no—
1506C2×D4—1061no—
1507C2×D4—1061no—
1508C2×D4—1061no—
1509C2×D4—1061no—
1510C2×D4—1061no—
1511C2×D4—4242no—
1512C2×D4—4242no—
1513C2×D4—4242no—
1514C2×D4—4242no—
1515C2×D4—2121no—
1516C2×D4—2121no—
1517C2×D4—2124no—
1518C2×D4—2121no—
1519C2×D4—2121no—
1520C2×D4—2121no—
1521C2×D4—2124no—
1522C2×D4—2124no—
1523C2×D4—2124no—
1524C2×D4—2124no—
1525C2×D4—2124no—
1526C2×D4D4×D5311yescharacteristic
1527C2×D4C23×D5311yescharacteristic
1528C2×D4C23×D5311yescharacteristic
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—531no—
1533C22×C4—531no—
1534C22×C4—531no—
1535C22×C4—531no—
1536C22×C4—531no—
1537C22×C4—531no—
1538C22×C4—1062no—
1539C22×C4—1062no—
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×C4—1061no—
1551C22×C4C23×D5311yescharacteristic
1552C22×C4C23×D5311yescharacteristic
1553Q16—41no—
1554SD16—22no—
1555SD16—41no—
1556SD16—1062no—
1557SD16—2121no—
1558SD16—2121no—
1559SD16—2121no—
1560D8—1062no—
1561D8—1062no—
1562D8—2121no—
1563D8—2121no—
1564D8—2121no—
1565M16—41no—
1566M16—41no—
1567M16—1062no—
1568M16—1062no—
1569M16—2121no—
1570M16—2121no—
1571M16—2121no—
1572M16—2121no—
1573C2×C8—531no—
1574C2×C8—531no—
1575C2×C8—531no—
1576C2×C8—531no—
1577C2×C8—1062no—
1578C2×C8—1062no—
1579C2×C8—2121no—
1580C2×C8—2121no—
1581C2×C8C23×D5311yescharacteristic
1582C2×C8C23×D5311yescharacteristic
1583C2×C8C23×D5311yescharacteristic
1584C2×C8C23×D5311yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—531no—
1593C4⋊C4—531no—
1594C4⋊C4—531no—
1595C4⋊C4—531no—
1596C4⋊C4—531no—
1597C4⋊C4—531no—
1598C4⋊C4—531no—
1599C4⋊C4—531no—
1600C4⋊C4—531no—
1601C4⋊C4—1061no—
1602C4⋊C4—1061no—
1603C4⋊C4—1061no—
1604C4⋊C4—1061no—
1605C4⋊C4—1061no—
1606C4⋊C4—1061no—
1607C4⋊C4—1061no—
1608C4⋊C4—1061no—
1609C4⋊C4—1061no—
1610C4⋊C4—1061no—
1611C4⋊C4—1061no—
1612C4⋊C4D4×D5311yescharacteristic
1613C4⋊C4C23×D5311yescharacteristic
1614C4⋊C4C23×D5311yescharacteristic
1615C4⋊C4C23×D5311yescharacteristic
1616C4⋊C4C23×D5311yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—531no—
1626C22⋊C4—531no—
1627C22⋊C4—531no—
1628C22⋊C4—531no—
1629C22⋊C4—531no—
1630C22⋊C4—531no—
1631C22⋊C4—531no—
1632C22⋊C4—531no—
1633C22⋊C4—1061no—
1634C22⋊C4—1061no—
1635C22⋊C4—1061no—
1636C22⋊C4—1061no—
1637C22⋊C4—1061no—
1638C22⋊C4—1061no—
1639C22⋊C4—1061no—
1640C22⋊C4—1061no—
1641C22⋊C4—1061no—
1642C22⋊C4—1061no—
1643C22⋊C4—1061no—
1644C22⋊C4—1061no—
1645C22⋊C4—1061no—
1646C22⋊C4—1061no—
1647C22⋊C4—1061no—
1648C22⋊C4—1061no—
1649C22⋊C4—1061no—
1650C22⋊C4—1061no—
1651C22⋊C4—1061no—
1652C22⋊C4—1061no—
1653C22⋊C4—1061no—
1654C22⋊C4—1061no—
1655C22⋊C4—1061no—
1656C22⋊C4—1061no—
1657C22⋊C4—1061no—
1658C22⋊C4—1061no—
1659C22⋊C4D4×D5311yescharacteristic
1660C22⋊C4D4×D5311yescharacteristic
1661C42—21no—
1662C42—21no—
1663C42—531no—
1664C42—1061no—
1665C42—1061no—
1666C42—1061no—
1667C42—1061no—
1668C42—1061no—
1669C42—1061no—
1670C42—1061no—
1671C42—1061no—
1672C42C23×D5311yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—42no—
1676C23—42no—
1677C23—81no—
1678C23—531no—
1679C23—531no—
1680C23—531no—
1681C23—1064no—
1682C23—1062no—
1683C23—1061no—
1684C23—1061no—
1685C23—1061no—
1686C23—1061no—
1687C23—4241no—
1688C23—4241no—
1689C23—4241no—
1690C23—4241no—
1691C23—4241no—
1692C23—4241no—
1693C23—4241no—
1694C23—4241no—
1695C23—4241no—
1696C23—4241no—
1697C23—4241no—
1698C23—42416no—
1699C23—2122no—
1700C23—2122no—
1701C23—2121no—
1702C23—2121no—
1703C23—2122no—
1704C23—2122no—
1705C23—2122no—
1706C23—2122no—
1707C23—2122no—
1708C23—2122no—
1709C23—2122no—
1710C23C2×D4×D5311yescharacteristic
1711C23C2×D4×D5311yescharacteristic
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—21no—
1716Q8—1062no—
1717Q8—4241no—
1718Q8—4241no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—81no—
1726D4—532no—
1727D4—1062no—
1728D4—1064no—
1729D4—1062no—
1730D4—1062no—
1731D4—1061no—
1732D4—1061no—
1733D4—1061no—
1734D4—1061no—
1735D4—1061no—
1736D4—1061no—
1737D4—1061no—
1738D4—4241no—
1739D4—4241no—
1740D4—4241no—
1741D4—4241no—
1742D4—4241no—
1743D4—4241no—
1744D4—4241no—
1745D4—4241no—
1746D4—4241no—
1747D4—4241no—
1748D4—4241no—
1749D4—2121no—
1750D4—2122no—
1751D4—2122no—
1752D4—2122no—
1753D4—2122no—
1754D4—2122no—
1755D4—2122no—
1756D4—2122no—
1757D4—2121no—
1758D4—2121no—
1759D4—2122no—
1760D4—2122no—
1761D4—2122no—
1762D4—2122no—
1763D4#41×D5312yes—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—531no—
1778C2×C4—532no—
1779C2×C4—532no—
1780C2×C4—531no—
1781C2×C4—531no—
1782C2×C4—531no—
1783C2×C4—531no—
1784C2×C4—1062no—
1785C2×C4—1062no—
1786C2×C4—1062no—
1787C2×C4—1061no—
1788C2×C4—1061no—
1789C2×C4—1061no—
1790C2×C4—1061no—
1791C2×C4—1061no—
1792C2×C4—1061no—
1793C2×C4—1061no—
1794C2×C4—1061no—
1795C2×C4—4241no—
1796C2×C4—4241no—
1797C2×C4—4241no—
1798C2×C4—4241no—
1799C2×C4—4241no—
1800C2×C4—4241no—
1801C2×C4—4241no—
1802C2×C4—4241no—
1803C2×C4—2122no—
1804C2×C4—2122no—
1805C2×C4—2122no—
1806C2×C4C2×D4×D5311yescharacteristic
1807C2×C4C2×D4×D5311yescharacteristic
1808C2×C4C2×D4×D5311yescharacteristic
1809C2×C4C2×D4×D5311yescharacteristic
1810C2×C4C24×D5311yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1061no—
1816C8—1061no—
1817C8—1061no—
1818C8—1061no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—84no—
1832C22—532no—
1833C22—8482no—
1834C22—8482no—
1835C22—1061no—
1836C22—1061no—
1837C22—1061no—
1838C22—1061no—
1839C22—1062no—
1840C22—1061no—
1841C22—1061no—
1842C22—1061no—
1843C22—1061no—
1844C22—4244no—
1845C22—4244no—
1846C22—4244no—
1847C22—4244no—
1848C22—4244no—
1849C22—2124no—
1850C22—2121no—
1851C22—2121no—
1852C22—2121no—
1853C22—2121no—
1854C22—2121no—
1855C22—2121no—
1856C22—2121no—
1857C22—2121no—
1858C22—2121no—
1859C22—2121no—
1860C22—2121no—
1861C22C22×D4×D5311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—532no—
1873C4—1061no—
1874C4—1061no—
1875C4—1061no—
1876C4—1061no—
1877C4—2121no—
1878C4—2121no—
1879C4—2121no—
1880C4—2121no—
1881C4C2×#41×D5311yescharacteristic
1882C4H(5,𝔽2)×D5311yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—1062no—
1888C2—4241no—
1889C2—4241no—
1890C2—4241no—
1891C2—2121no—
1892C2—2122no—
1893C2—2121no—
1894C2#546×D5311yescharacteristic
1895C2#2028949211yescharacteristic
1896C2#2028949311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3323C2
socleC22×C53C23×D4
hypercenter#3323D53
hypocenterC53#61175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #20288433C2semidirect
2. #20288345C2semidirect
3. #20286958C2semidirect
4. #20286953C2semidirect
5. #20286948C2semidirect
6. #20286941C2semidirect
7. #20286937C2semidirect
8. #20286917C2semidirect
9. #20286915C2semidirect
10. #20286874C2semidirect
11. #20286871C2semidirect
12. #20286854C2semidirect
13. #20286853C2semidirect
14. #20286758C2semidirect
15. #20286755C2semidirect
16. #20286730C2semidirect
17. #20286729C2semidirect
18. #20285068C2semidirect
19. #20284672C2semidirect
20. #20284647C2semidirect
21. #20284545C2semidirect
22. #20284390C2semidirect
23. #20284326C2semidirect
24. #20284257C2semidirect
25. #20284023C2semidirect
26. #20283943C2semidirect
27. #20283542C2semidirect
28. #20283415C2semidirect
29. #20283239C2semidirect
30. #418×D53C2semidirect
31. C53×#3323C2semidirect
35. C2×#13133244C22semidirect
36. C2×#13133240C22semidirect
37. C2×#13133225C22semidirect
38. C2×M16×D53C22semidirect
39. #16811346C22semidirect
40. #16811344C22semidirect
42. #16811338C22semidirect
44. #16811336C22semidirect
45. #16811326C22semidirect
46. #16811321C22semidirect
48. #16811307C22semidirect
61. #16811253C22semidirect
64. #16811203C22semidirect
72. #16811136C22semidirect
76. #16811105C22semidirect
77. #16811104C22semidirect
79. #117×D53C22semidirect
80. #16810989C22semidirect
81. #16810986C22semidirect
82. #16810984C22semidirect
83. #16810982C22semidirect
84. #16810979C22semidirect
85. #16810970C22semidirect
86. #16810968C22semidirect
87. #16810963C22semidirect
88. #16810962C22semidirect
89. #16810961C22semidirect
90. #16810950C22semidirect
91. #16810949C22semidirect
92. #16810949C22semidirect
93. #16810948C22semidirect
94. #16810948C22semidirect
95. #16810947C22semidirect
96. #16810946C22semidirect
97. #16810944C22semidirect
98. #16810943C22semidirect
99. #16810936C22semidirect
100. #16810935C22semidirect
101. #16810925C22semidirect
102. #16810922C22semidirect
103. #16810920C22semidirect
104. #16810914C22semidirect
105. #16810911C22semidirect
106. #16810903C22semidirect
107. #16810902C22semidirect
108. #16810878C22semidirect
109. #16810877C22semidirect
110. #16810876C22semidirect
111. #16810876C22semidirect
112. #16810875C22semidirect
113. #16810872C22semidirect
114. #16810872C22semidirect
115. #16810872C22semidirect
116. #16810871C22semidirect
117. #16810871C22semidirect
118. #16810860C22semidirect
119. #16810857C22semidirect
120. #16810854C22semidirect
121. #16810849C22semidirect
122. #16810847C22semidirect
123. #16810841C22semidirect
124. #16810835C22semidirect
125. #16810823C22semidirect
126. #16810821C22semidirect
127. #16810819C22semidirect
128. #16810817C22semidirect
129. #16810784C22semidirect
130. #16810773C22semidirect
131. #16810773C22semidirect
132. #16810772C22semidirect
133. #16810772C22semidirect
134. #16810772C22semidirect
135. #16810771C22semidirect
136. #16810768C22semidirect
137. #16810759C22semidirect
138. #16810759C22semidirect
139. #16810758C22semidirect
140. #16810758C22semidirect
141. #16810758C22semidirect
142. #16810757C22semidirect
143. #16810734C22semidirect
144. #16810733C22semidirect
145. #16810724C22semidirect
146. #16810721C22semidirect
147. #16810708C22semidirect
148. C4×D424C22semidirect
149. #16810703C22semidirect
150. #16810702C22semidirect
151. #16810699C22semidirect
152. #16810699C22semidirect
153. #16810697C22semidirect
154. #16810695C22semidirect
155. #16810693C22semidirect
156. #16810691C22semidirect
157. #16810664C22semidirect
158. #16810662C22semidirect
159. #16810658C22semidirect
160. #16810648C22semidirect
161. #16810629C22semidirect
162. #16810629C22semidirect
163. #16810628C22semidirect
164. #16810627C22semidirect
166. #16810626C22semidirect
167. #16810626C22semidirect
168. #16810626C22semidirect
169. #16810626C22semidirect
170. #16810626C22semidirect
171. #16810626C22semidirect
172. #16810623C22semidirect
173. #16810623C22semidirect
174. #16810623C22semidirect
175. #16810619C22semidirect
176. #16810618C22semidirect
177. #16810618C22semidirect
178. #16810618C22semidirect
179. C2×#13133137C22semidirect
182. #102×D53C22semidirect
183. #102×D53C22semidirect
184. #102×D53C22semidirect
185. #16810588C22semidirect
186. #16810585C22semidirect
187. #16810577C22semidirect
188. C53×#552C22semidirect
190. C53×#488C22semidirect
191. C53×#485C22semidirect
192. C53×#481C22semidirect
193. C53×#478C22semidirect
194. C53×#470C22semidirect
195. C53×#468C22semidirect
196. C53×#464C22semidirect
197. C53×#452C22semidirect
198. C53×#450C22semidirect
199. C4×SD16×C53C22semidirect
200. C53×#436C22semidirect
201. C53×#418C22semidirect
202. C53×#417C22semidirect
236. C2×#11719924C23semidirect
237. C2×#11719924C23semidirect
240. C2×D424C23semidirect
249. C2×#11719912C23semidirect
251. C22×#88322C23semidirect
254. C2×C8×D53C23semidirect
255. #13133217C23semidirect
257. #13133216C23semidirect
268. #13133208C23semidirect
296. #13133193C23semidirect
304. #13133192C23semidirect
310. #13133191C23semidirect
343. Q8×Dic53C23semidirect
350. C4×D212C23semidirect
358. #13133179C23semidirect
369. #13133176C23semidirect
376. #13133175C23semidirect
385. C4⋊C4×D53C23semidirect
393. #13133151C23semidirect
394. #13133150C23semidirect
395. #13133150C23semidirect
396. #13133150C23semidirect
397. #13133150C23semidirect
398. #13133149C23semidirect
399. #13133149C23semidirect
400. #13133148C23semidirect
401. #13133148C23semidirect
402. C4⋊#88322C23semidirect
403. #13133146C23semidirect
404. #13133146C23semidirect
405. #13133141C23semidirect
406. #13133141C23semidirect
407. #13133141C23semidirect
408. #13133141C23semidirect
415. #13133139C23semidirect
416. #13133139C23semidirect
417. #13133139C23semidirect
418. #13133139C23semidirect
431. #13133137C23semidirect
432. #13133137C23semidirect
433. #13133137C23semidirect
434. #13133137C23semidirect
436. C22⋊#88322C23semidirect
439. #13133129C23semidirect
440. #13133129C23semidirect
441. #13133128C23semidirect
442. #13133127C23semidirect
443. C8×Dic53C23semidirect
446. C2×Q16×C53C23semidirect
450. C2×M16×C53C23semidirect
453. #125×C53C23semidirect
459. C22⋊Q8×C53C23semidirect
463. C4×Q8×C53C23semidirect
468. C2×C4⋊C4×C53C23semidirect
470. #107×C53C23semidirect
471. #106×C53C23semidirect
472. #106×C53C23semidirect
473. C4⋊C8×C53C23semidirect
474. #103×C53C23semidirect
475. #103×C53C23semidirect
476. #103×C53C23semidirect
477. #103×C53C23semidirect
485. C22⋊C8×C53C23semidirect
486. C4×C8×C53C23semidirect
942. #3323D53semidirect
998. #552C2×D53semidirect
1035. #488C2×D53semidirect
1041. #485C2×D53semidirect
1051. #481C2×D53semidirect
1057. #478C2×D53semidirect
1063. #470C2×D53semidirect
1073. #468C2×D53semidirect
1079. #464C2×D53semidirect
1087. #452C2×D53semidirect
1093. #450C2×D53semidirect
1107. C4×SD16C2×D53semidirect
1113. #436C2×D53semidirect
1133. #418C2×D53semidirect
1137. #417C2×D53semidirect
1151. C53#61175semidirect
1185. C2×Q16C22×D53semidirect
1206. C2×M16C22×D53semidirect
1229. #125C22×D53semidirect
1261. C22⋊Q8C22×D53semidirect
1315. C4×Q8C22×D53semidirect
1359. C2×C4⋊C4C22×D53semidirect
1373. #107C22×D53semidirect
1378. #106C22×D53semidirect
1379. #106C22×D53semidirect
1383. C4⋊C8C22×D53semidirect
1388. #103C22×D53semidirect
1389. #103C22×D53semidirect
1390. #103C22×D53semidirect
1391. #103C22×D53semidirect
1431. C22⋊C8C22×D53semidirect
1435. C4×C8C22×D53semidirect

Maximal subgroups

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

subgroupindex
#202884332
#202883452
#202869582
#202869532
#202869482
#202869412
#202869372
#202869172
#202869152
#202868742
#202868712
#202868542
#202868532
#202867582
#202867552
#202867302
#202867292
#202850682
#202846722
#202846472
#202845452
#202843902
#202843262
#202842572
#202840232
#202839432
#202835422
#202834152
#202832392
#418×D532
C53×#33232
#6117553