Finite Group Databasebeta

← #28270324

Subgroups — #28270324

Order 13568.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289036C211yesmaximal, characteristic, complemented
2#20288375C211yesmaximal, characteristic, complemented
3#20286864C211yesmaximal, characteristic, complemented
4#20286736C211yesmaximal, characteristic, complemented
5#20286728C211yesmaximal, characteristic, complemented
6#20286712C211yesmaximal, characteristic, complemented
7#20286660C211yesmaximal, characteristic, complemented
8#20286604C211yesmaximal, characteristic, complemented
9#20286570C211yesmaximal, characteristic, complemented
10#20286521C211yesmaximal, characteristic, complemented
11#20286473C211yesmaximal, characteristic, complemented
12#20286426C211yesmaximal, characteristic, complemented
13#20286400C211yesmaximal, characteristic, complemented
14#20286261C211yesmaximal, characteristic, complemented
15#20286253C211yesmaximal, characteristic, complemented
16#20286206C211yesmaximal, characteristic, complemented
17#20286195C211yesmaximal, characteristic, complemented
18#20285806C211yesmaximal, characteristic, complemented
19#20285758C211yesmaximal, characteristic, complemented
20#20285611C211yesmaximal, characteristic, complemented
21#20285563C211yesmaximal, characteristic, complemented
22#20285475C211yesmaximal, characteristic, complemented
23#20285464C211yesmaximal, characteristic, complemented
24#20284973C211yesmaximal, characteristic, complemented
25#20284911C211yesmaximal, characteristic, complemented
26#20284014C211yesmaximal, characteristic, complemented
27#20283979C211yesmaximal, characteristic, complemented
28#20283928C211yesmaximal, characteristic, complemented
29C2×#16810765C211yesmaximal, characteristic, complemented
30#20283768C211yesmaximal, characteristic, complemented
31D4×D8×C53C211yesmaximal, characteristic, complemented
32C2×#13133262C2211yescharacteristic, complemented
33C22×#11719947C2211yescharacteristic, complemented
34C2×#13133243C2211yescharacteristic, complemented
35C2×#13133241C2211yescharacteristic, complemented
36C2×#13133236C2211yescharacteristic, complemented
37C2×#13133236C2211yescharacteristic, complemented
38C2×#13133236C2211yescharacteristic, complemented
39C22×#11719923C2211yescharacteristic, complemented
40#16811368—21no—
41#16811362—21no—
42#16811337C2211yescharacteristic, complemented
43#16811323C2211yescharacteristic, complemented
44#16811313C2211yescharacteristic, complemented
45#16811304—21no—
46#16811293C2211yescharacteristic, complemented
47#16811293C2211yescharacteristic, complemented
48#16811291C2211yescharacteristic, complemented
49#16811282C2211yescharacteristic
50#16811279C2211yescharacteristic, complemented
51#16811273C2211yescharacteristic, complemented
52#16811268C2211yescharacteristic, complemented
53#16811267—21no—
54#16811267C2211yescharacteristic, complemented
55#16811267C2211yescharacteristic, complemented
56#16811267C2211yescharacteristic, complemented
57#16811262—21no—
58#16811260—21no—
59D4×C22⋊D53—21no—
60D4×C22⋊D53C2211yescharacteristic, complemented
61#16811255—21no—
62#16811238C2211yescharacteristic, complemented
63#16811227C2211yescharacteristic, complemented
64#16811223—21no—
65#16811208—21no—
66#16811202C2211yescharacteristic, complemented
67#16811202C2211yescharacteristic, complemented
68#16811200—21no—
69#16811190C2211yescharacteristic, complemented
70#16811188—21no—
71#16811188—21no—
72#16811186C2211yescharacteristic, complemented
73#16811182—21no—
74#16811133C2211yescharacteristic, complemented
75#16811132C2211yescharacteristic
76#16811129—21no—
77C2×#13133189—21no—
78C2×#13133188C2211yescharacteristic, complemented
79#121×D53C2211yescharacteristic, complemented
80#16811102C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16811010C2211yescharacteristic, complemented
83#16811006C2211yescharacteristic, complemented
84#16810987C2211yescharacteristic, complemented
85#16810981C2211yescharacteristic, complemented
86#16810978C2211yescharacteristic, complemented
87#16810968C2211yescharacteristic, complemented
88#16810965C2211yescharacteristic, complemented
89#16810960C2211yescharacteristic, complemented
90#16810960C2211yescharacteristic, complemented
91#16810950C2211yescharacteristic, complemented
92#16810946C2211yescharacteristic, complemented
93#16810944C2211yescharacteristic, complemented
94#16810940C2211yescharacteristic, complemented
95#16810937C2211yescharacteristic, complemented
96#16810935C2211yescharacteristic, complemented
97#16810935C2211yescharacteristic, complemented
98#16810935C2211yescharacteristic, complemented
99#16810934C2211yescharacteristic, complemented
100#16810931C2211yescharacteristic, complemented
101#16810923C2211yescharacteristic, complemented
102#16810917C2211yescharacteristic, complemented
103#16810901C2211yescharacteristic, complemented
104#16810873C2211yescharacteristic, complemented
105#16810868C2211yescharacteristic, complemented
106#16810867C2211yescharacteristic, complemented
107#16810867C2211yescharacteristic, complemented
108#16810864C2211yescharacteristic, complemented
109#16810858C2211yescharacteristic, complemented
110#16810858C2211yescharacteristic, complemented
111#16810857C2211yescharacteristic, complemented
112#16810856C2211yescharacteristic, complemented
113#16810856C2211yescharacteristic, complemented
114#16810856C2211yescharacteristic, complemented
115#16810852C2211yescharacteristic, complemented
116#16810851C2211yescharacteristic, complemented
117#16810850C2211yescharacteristic, complemented
118#16810846C2211yescharacteristic, complemented
119#16810844C2211yescharacteristic, complemented
120#16810838C2211yescharacteristic, complemented
121#16810836C2211yescharacteristic, complemented
122#16810836C2211yescharacteristic, complemented
123#16810836C2211yescharacteristic, complemented
124#16810820C2211yescharacteristic, complemented
125#16810820C2211yescharacteristic, complemented
126#16810816C2211yescharacteristic, complemented
127#16810816C2211yescharacteristic, complemented
128#16810787C2211yescharacteristic, complemented
129#16810786C2211yescharacteristic, complemented
130#16810786C2211yescharacteristic, complemented
131#16810786C2211yescharacteristic, complemented
132#16810781C2211yescharacteristic, complemented
133#16810775C2211yescharacteristic, complemented
134#16810774C2211yescharacteristic, complemented
135#16810774C2211yescharacteristic, complemented
136#16810774C2211yescharacteristic, complemented
137#16810769C2211yescharacteristic, complemented
138#16810766C2211yescharacteristic, complemented
139#16810765C2211yescharacteristic
140#16810765C2211yescharacteristic, complemented
141#16810765C2211yescharacteristic, complemented
142#16810765C2211yescharacteristic, complemented
143#16810765C2211yescharacteristic, complemented
144#16810765C2211yescharacteristic, complemented
145#16810765C2211yescharacteristic, complemented
146#16810765C2211yescharacteristic, complemented
147#16810765C2211yescharacteristic, complemented
148#16810765C2211yescharacteristic, complemented
149#16810765C2211yescharacteristic, complemented
150#16810765C2211yescharacteristic, complemented
151#16810765C2211yescharacteristic, complemented
152#16810765C2211yescharacteristic, complemented
153#16810761C2211yescharacteristic, complemented
154#16810757C2211yescharacteristic, complemented
155#16810755C2211yescharacteristic, complemented
156#16810755C2211yescharacteristic, complemented
157#16810755C2211yescharacteristic, complemented
158#16810755C2211yescharacteristic, complemented
159#16810755C2211yescharacteristic, complemented
160#16810735C2211yescharacteristic, complemented
161#16810723C2211yescharacteristic, complemented
162#16810723C2211yescharacteristic, complemented
163#16810720C2211yescharacteristic, complemented
164C4×Dic212C2211yescharacteristic, complemented
165#16810714C2211yescharacteristic, complemented
166D8×Dic53C2211yescharacteristic, complemented
167#16810697C2211yescharacteristic, complemented
168#16810695C2211yescharacteristic, complemented
169#16810694C2211yescharacteristic, complemented
170#16810693C2211yescharacteristic, complemented
171C8×D212C2211yescharacteristic, complemented
172C8×C22⋊D53C2211yescharacteristic, complemented
173#16810686C2211yescharacteristic, complemented
174#16810683C2211yescharacteristic, complemented
175#16810682C2211yescharacteristic, complemented
176#16810628C2211yescharacteristic, complemented
177#16810621C2211yescharacteristic, complemented
178#16810620C2211yescharacteristic, complemented
179#16810616C2211yescharacteristic, complemented
180#16810616C2211yescharacteristic, complemented
181C2×#13133142C2211yescharacteristic, complemented
182C2×#13133138C2211yescharacteristic, complemented
183#102×D53C2211yescharacteristic, complemented
184#16810589C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186C2×#13133129C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C22×D8×C53C2211yescharacteristic, complemented
189C22×D8×C53C2211yescharacteristic, complemented
190D42×C53C2211yescharacteristic
191D42×C53C2211yescharacteristic, complemented
192C53×#493C2211yescharacteristic, complemented
193C53×#466C2211yescharacteristic, complemented
194C53×#466C2211yescharacteristic, complemented
195C53×#459C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic, complemented
197C53×#447C2211yescharacteristic, complemented
198C53×#447C2211yescharacteristic, complemented
199C53×#447C2211yescharacteristic, complemented
200C53×#447C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic, complemented
202C8×D4×C53C2211yescharacteristic, complemented
203#13133262—42no—
204#13133262—42no—
205C2×#11719945C2311yescharacteristic
206C2×#11719945C2311yescharacteristic
207C2×#11719947—21no—
208C2×#11719947—21no—
209C2×#11719947—21no—
210C2×#11719947—21no—
211C2×#11719947—42no—
212C2×#11719947—42no—
213C2×#11719947C2311yescharacteristic
214C2×#11719947C2311yescharacteristic
215C2×#11719947C2311yescharacteristic
216C2×#11719947C2311yescharacteristic
217C2×#11719947C2311yescharacteristic
218C2×#11719947C2311yescharacteristic
219C2×#11719947C2311yescharacteristic
220C22×Dic106C2311yescharacteristic
221C22×C22⋊D53—21no—
222C22×C22⋊D53—21no—
223C22×C22⋊D53—21no—
224C22×C22⋊D53—21no—
225C22×C22⋊D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53—21no—
228C2×D4×D53C2311yescharacteristic
229C2×D4×D53C2311yescharacteristic
230C23×Dic53—21no—
231C22×C4×D53C2311yescharacteristic
232#13133243—42no—
233#13133241—42no—
234#13133236—42no—
235#13133236—42no—
236#13133236—42no—
237C2×Dic212C2311yescharacteristic
238C2×Dic212C2311yescharacteristic
239C2×#11719913C2311yescharacteristic
240C2×#11719923—42no—
241C2×#11719923C2311yescharacteristic
242C2×#11719923C2311yescharacteristic
243C2×#11719923C2311yescharacteristic
244C2×#11719923C2311yescharacteristic
245C2×#11719923C2311yescharacteristic
246C2×#11719923C2311yescharacteristic
247C2×#11719923C2311yescharacteristic
248C2×#11719923C2311yescharacteristic
249C2×#11719923C2311yescharacteristic
250C2×#11719922C2311yescharacteristic
251C2×#11719922C2311yescharacteristic
252C2×#11719922C2311yescharacteristic
253C2×#11719917C2311yescharacteristic
254C2×#11719912C2311yescharacteristic
255C22×#88322C2311yescharacteristic
256C2×C8×D53C2311yescharacteristic
257C2×C8×D53C2311yescharacteristic
258C2×C8×D53C2311yescharacteristic
259#13133216C2311yescharacteristic
260#13133213—21no—
261#13133213—21no—
262#13133213—21no—
263#13133213—21no—
264#13133213C2311yescharacteristic
265#13133210—21no—
266#13133210—21no—
267#13133210—21no—
268#13133209C2311yescharacteristic
269#13133207—21no—
270#13133205C2311yescharacteristic
271#13133204—21no—
272#13133204—21no—
273#13133204C2311yescharacteristic
274#13133204C2311yescharacteristic
275#13133203—21no—
276#13133203—21no—
277#13133203—21no—
278#13133203—21no—
279#13133202D411yescharacteristic
280#13133201—21no—
281#13133200—21no—
282#13133200—21no—
283#13133199—21no—
284#13133199—21no—
285#13133199D411yescharacteristic
286#13133198—21no—
287#13133198—21no—
288#13133198—21no—
289#13133198—21no—
290#13133198—21no—
291#13133198—21no—
292#13133198—21no—
293#13133197C2311yescharacteristic
294#13133197C2311yescharacteristic
295#13133196—21no—
296#13133196C2311yescharacteristic
297#13133196C2311yescharacteristic
298#13133196C2311yescharacteristic
299#13133195—21no—
300#13133195D411yescharacteristic
301#13133194—21no—
302#13133194—21no—
303#13133194—21no—
304#13133194—21no—
305#13133194D411yescharacteristic
306#13133192C2311yescharacteristic
307#13133191—21no—
308#13133191C2311yescharacteristic
309#13133190—21no—
310#13133190—21no—
311#13133190—21no—
312#13133190—21no—
313#13133190—21no—
314#13133190D411yescharacteristic
315#13133189—21no—
316#13133189—21no—
317#13133189—21no—
318#13133189—21no—
319#13133189—21no—
320#13133189—21no—
321#13133189—21no—
322#13133189—21no—
323#13133189—21no—
324#13133189—21no—
325#13133189—21no—
326#13133189—21no—
327#13133189—21no—
328#13133189—21no—
329#13133189—21no—
330#13133189—21no—
331#13133189—21no—
332#13133189—21no—
333#13133189—21no—
334#13133189D411yescharacteristic
335#13133188—21no—
336#13133188—21no—
337#13133188—21no—
338#13133188—21no—
339#13133188C2311yescharacteristic
340#13133188C2311yescharacteristic
341#13133188C2311yescharacteristic
342#13133188C2311yescharacteristic
343#13133188C2311yescharacteristic
344#13133188C2311yescharacteristic
345#13133188C2311yescharacteristic
346#13133188C2311yescharacteristic
347#13133188C2311yescharacteristic
348#13133187—21no—
349#13133187D411yescharacteristic
350#13133186—21no—
351#13133186—21no—
352#13133186—21no—
353#13133186—21no—
354#13133186—21no—
355#13133186—21no—
356#13133185—21no—
357#13133185—21no—
358#13133185—21no—
359#13133185—21no—
360#13133185D411yescharacteristic
361C4×Dic106C2311yescharacteristic
362C4×Dic106C2311yescharacteristic
363#13133182C2311yescharacteristic
364C4×D212C2311yescharacteristic
365D4×Dic53—21no—
366D4×Dic53—21no—
367D4×Dic53—21no—
368D4×Dic53—21no—
369D4×Dic53C2311yescharacteristic
370D4×Dic53C2311yescharacteristic
371D4×Dic53C2311yescharacteristic
372C4×C22⋊D53—21no—
373C4×C22⋊D53—21no—
374C4×C22⋊D53C2311yescharacteristic
375C4×C22⋊D53C2311yescharacteristic
376#13133177—21no—
377#13133177—21no—
378#13133177—21no—
379#13133177—21no—
380#13133176C2311yescharacteristic
381#13133175C2311yescharacteristic
382#13133174C2311yescharacteristic
383#13133173—21no—
384#13133173—21no—
385#13133173—21no—
386C2×C4⋊Dic53C2311yescharacteristic
387C2×#11719919—21no—
388C4⋊C4×D53C2311yescharacteristic
389C4⋊C4×D53C2311yescharacteristic
390C2×C22⋊Dic53—21no—
391C2×C22⋊Dic53—21no—
392C2×C22⋊Dic53—21no—
393C2×C22⋊Dic53—21no—
394C2×#11719921—21no—
395C22⋊C4×D53—21no—
396#13133151C2311yescharacteristic
397#13133151C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133150C2311yescharacteristic
401#13133149C2311yescharacteristic
402#13133148C2311yescharacteristic
403C4⋊#88322C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133138C2311yescharacteristic
430#13133138C2311yescharacteristic
431#13133137C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133128C2311yescharacteristic
443#13133127C2311yescharacteristic
444C8×Dic53C2311yescharacteristic
445C22×D4×C53—21no—
446C22×D4×C53—21no—
447C22×D4×C53C2311yescharacteristic
448C22×D4×C53C2311yescharacteristic
449C22×D4×C53C2311yescharacteristic
450C22×D4×C53C2311yescharacteristic
451C2×D8×C53—42no—
452C2×D8×C53—42no—
453C2×D8×C53C2311yescharacteristic
454C2×D8×C53C2311yescharacteristic
455C2×D8×C53C2311yescharacteristic
456C2×D8×C53C2311yescharacteristic
457C2×D8×C53C2311yescharacteristic
458C2×D8×C53C2311yescharacteristic
459C2×D8×C53C2311yescharacteristic
460C2×D8×C53C2311yescharacteristic
461C2×D8×C53C2311yescharacteristic
462C22×C8×C53C2311yescharacteristic
463C22×C8×C53C2311yescharacteristic
464#127×C53C2311yescharacteristic
465#127×C53C2311yescharacteristic
466#121×C53—21no—
467#121×C53—21no—
468#121×C53C2311yescharacteristic
469#121×C53C2311yescharacteristic
470#121×C53C2311yescharacteristic
471#121×C53C2311yescharacteristic
472#120×C53—21no—
473#120×C53—21no—
474#120×C53—21no—
475#120×C53—21no—
476C4×D4×C53C2311yescharacteristic
477C4×D4×C53C2311yescharacteristic
478C4×D4×C53C2311yescharacteristic
479#107×C53C2311yescharacteristic
480C4⋊C8×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486#102×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489C4×C8×C53C2311yescharacteristic
490C24×C53—21no—
491C24×C53—21no—
492C24×C53—21no—
493C24×C53—21no—
494C23×D53—21no—
495C23×D53—21no—
496C23×D53C2×D411yescharacteristic
497C2×D4×C53—22no—
498C2×D4×C53—22no—
499C2×D4×C53—21no—
500C2×D4×C53—21no—
501C2×D4×C53—21no—
502C2×D4×C53—21no—
503C2×D4×C53—21no—
504C2×D4×C53—21no—
505C2×D4×C53—21no—
506C2×D4×C53—21no—
507C2×D4×C53—21no—
508C2×D4×C53—21no—
509C2×D4×C53—21no—
510C2×D4×C53—21no—
511C2×D4×C53—41no—
512C2×D4×C53—41no—
513C2×D4×C53—41no—
514C2×D4×C53—41no—
515C2×D4×C53—41no—
516C2×D4×C53—41no—
517C2×D4×C53—82no—
518C2×D4×C53—82no—
519C2×D4×C53C2×D411yescharacteristic
520C2×D4×C53C2411yescharacteristic
521C2×D4×C53C2411yescharacteristic
522C2×D4×C53C2411yescharacteristic
523C2×D4×C53C2411yescharacteristic
524C2×D4×C53C2411yescharacteristic
525C2×D4×C53C2411yescharacteristic
526C22×C4×C53—21no—
527C22×C4×C53—21no—
528C22×C4×C53C2411yescharacteristic
529C22×C4×C53C2411yescharacteristic
530C2×C22⋊D53—21no—
531C2×C22⋊D53—21no—
532C2×C22⋊D53—21no—
533C2×C22⋊D53—21no—
534C2×C22⋊D53—21no—
535C2×C22⋊D53—21no—
536C2×C22⋊D53—21no—
537C2×C22⋊D53—21no—
538C2×C22⋊D53—21no—
539C2×C22⋊D53—21no—
540C2×C22⋊D53—21no—
541C2×C22⋊D53—21no—
542C2×C22⋊D53—21no—
543C2×C22⋊D53—21no—
544C2×C22⋊D53—21no—
545C2×C22⋊D53—21no—
546C2×C22⋊D53—21no—
547C2×C22⋊D53—21no—
548C2×C22⋊D53—21no—
549C2×C22⋊D53—21no—
550C2×C22⋊D53—21no—
551C2×C22⋊D53—21no—
552C2×C22⋊D53—44no—
553C2×C22⋊D53—44no—
554C2×C22⋊D53—44no—
555C2×C22⋊D53—82no—
556C2×C22⋊D53—82no—
557C2×C22⋊D53C2×D411yescharacteristic
558C2×C22⋊D53C2×D411yescharacteristic
559C2×C22⋊D53C2×D411yescharacteristic
560C2×C22⋊D53C2×D411yescharacteristic
561C22×Dic53—21no—
562C22×Dic53—21no—
563C22×Dic53—21no—
564C22×Dic53—21no—
565C22×Dic53—21no—
566C22×Dic53—21no—
567C22×Dic53—21no—
568C22×Dic53—21no—
569C22×Dic53—21no—
570C22×Dic53—21no—
571C22×Dic53—21no—
572C22×Dic53—21no—
573C22×Dic53—44no—
574C22×Dic53C2×D411yescharacteristic
575#11719947—22no—
576#11719947—22no—
577#11719947—22no—
578#11719947—22no—
579#11719947—22no—
580#11719947—41no—
581#11719947—41no—
582#11719947—41no—
583#11719947—41no—
584#11719947—41no—
585#11719947—41no—
586#11719947—41no—
587#11719947—41no—
588#11719947—41no—
589#11719947—44no—
590#11719947—44no—
591#11719947—44no—
592#11719947—82no—
593D4×D53—22no—
594D4×D53—41no—
595D4×D53—41no—
596D4×D53—41no—
597D4×D53—44no—
598D4×D53—82no—
599#11719945—22no—
600#11719945—41no—
601#11719945—41no—
602#11719945—41no—
603C2×D212—21no—
604C2×D212C2×D411yescharacteristic
605C2×D212C2×D411yescharacteristic
606C2×D212C2411yescharacteristic
607C2×C4×D53—21no—
608C2×C4×D53—21no—
609C2×C4×D53—21no—
610C2×C4×D53—41no—
611C2×C4×D53—41no—
612C2×C4×D53C2×D411yescharacteristic
613C2×C4×D53C2×D411yescharacteristic
614C2×C4×D53C2411yescharacteristic
615C2×C4×D53C2411yescharacteristic
616C2×C4×D53C2411yescharacteristic
617C2×Dic106—22no—
618C2×Dic106—21no—
619C2×Dic106—21no—
620C2×Dic106—41no—
621C2×Dic106C2×D411yescharacteristic
622C2×Dic106C2411yescharacteristic
623C2×Dic106C2411yescharacteristic
624C2×Dic106C2411yescharacteristic
625D8×C53—22no—
626D8×C53—22no—
627D8×C53—22no—
628D8×C53—41no—
629D8×C53—41no—
630D8×C53—41no—
631D8×C53—41no—
632D8×C53—41no—
633D8×C53—41no—
634C2×C8×C53—41no—
635C2×C8×C53—41no—
636C2×C8×C53C2411yescharacteristic
637C2×C8×C53C2411yescharacteristic
638C2×C8×C53C2411yescharacteristic
639C2×C8×C53C2411yescharacteristic
640C4⋊C4×C53C2×D411yescharacteristic
641C4⋊C4×C53C2411yescharacteristic
642C4⋊C4×C53C2411yescharacteristic
643C22⋊C4×C53—21no—
644C22⋊C4×C53—21no—
645C22⋊C4×C53—21no—
646C22⋊C4×C53—21no—
647C22⋊C4×C53—21no—
648C22⋊C4×C53—21no—
649C22⋊C4×C53C2×D411yescharacteristic
650C22⋊C4×C53C2×D411yescharacteristic
651C42×C53C2411yescharacteristic
652C22⋊Dic53—21no—
653C22⋊Dic53—21no—
654C22⋊Dic53—21no—
655C22⋊Dic53—21no—
656C22⋊Dic53—21no—
657C22⋊Dic53—21no—
658C22⋊Dic53—21no—
659C22⋊Dic53—21no—
660C22⋊Dic53—21no—
661C22⋊Dic53—21no—
662C22⋊Dic53—21no—
663C22⋊Dic53—21no—
664C22⋊Dic53—21no—
665C22⋊Dic53—21no—
666C22⋊Dic53—21no—
667C22⋊Dic53—21no—
668C22⋊Dic53—21no—
669C22⋊Dic53—21no—
670C22⋊Dic53—21no—
671C22⋊Dic53—21no—
672C22⋊Dic53C2×D411yescharacteristic
673C22⋊Dic53C2×D411yescharacteristic
674#11719923—22no—
675#11719923—22no—
676#11719923—22no—
677#11719923—22no—
678#11719923—41no—
679#11719923—41no—
680#11719923—41no—
681#11719923—41no—
682#11719923—41no—
683#11719922—41no—
684#11719922—41no—
685#11719922—41no—
686#11719921—21no—
687#11719921—21no—
688#11719921—21no—
689#11719921—21no—
690#11719921—21no—
691#11719921—21no—
692#11719921—21no—
693#11719921C2×D411yescharacteristic
694#11719921C2×D411yescharacteristic
695#11719921C2×D411yescharacteristic
696#11719921C2×D411yescharacteristic
697#11719921C2×D411yescharacteristic
698#11719921C2×D411yescharacteristic
699C4⋊Dic53—21no—
700C4⋊Dic53—21no—
701C4⋊Dic53—21no—
702C4⋊Dic53C2×D411yescharacteristic
703C4⋊Dic53C2411yescharacteristic
704C4⋊Dic53C2411yescharacteristic
705C4⋊Dic53C2411yescharacteristic
706C4⋊Dic53C2411yescharacteristic
707#11719919—21no—
708#11719919—21no—
709#11719919—21no—
710#11719919—21no—
711#11719919—21no—
712#11719919—21no—
713#11719919—21no—
714#11719919—21no—
715#11719919—21no—
716#11719919—21no—
717#11719919—21no—
718#11719919C2×D411yescharacteristic
719#11719919C2×D411yescharacteristic
720#11719919C2×D411yescharacteristic
721#11719919C2×D411yescharacteristic
722C4×Dic53—21no—
723C4×Dic53—21no—
724C4×Dic53—21no—
725C4×Dic53—21no—
726C4×Dic53—21no—
727C4×Dic53C2411yescharacteristic
728#11719917—41no—
729C2×#88322—41no—
730C2×#88322C2411yescharacteristic
731C2×#88322C2411yescharacteristic
732C2×#88322C2411yescharacteristic
733C2×#88322C2411yescharacteristic
734Dic212—22no—
735Dic212—41no—
736#11719913—41no—
737#11719912—41no—
738C8×D53—41no—
739C8×D53—41no—
740C8×D53—41no—
741C23×C53—21no—
742C23×C53—21no—
743C23×C53—21no—
744C23×C53—21no—
745C23×C53—21no—
746C23×C53—21no—
747C23×C53—42no—
748C23×C53—42no—
749C23×C53—42no—
750C23×C53—42no—
751C23×C53—81no—
752C23×C53—81no—
753C23×C53—81no—
754C23×C53—81no—
755C23×C53—81no—
756C23×C53—81no—
757C23×C53—81no—
758C23×C53—81no—
759C23×C53C22×D411yescharacteristic
760C23×C53C22×D411yescharacteristic
761C22×D53—22no—
762C22×D53—21no—
763C22×D53—41no—
764C22×D53—41no—
765C22×D53—42no—
766C22×D53—42no—
767C22×D53—81no—
768C22×D53—81no—
769C22×D53—81no—
770C22×D53—81no—
771C22×D53C22×D411yescharacteristic
772C22×D53C22×D411yescharacteristic
773C22×D53C22×D411yescharacteristic
774D4×C53—22no—
775D4×C53—21no—
776D4×C53—21no—
777D4×C53—21no—
778D4×C53—21no—
779D4×C53—21no—
780D4×C53—21no—
781D4×C53—21no—
782D4×C53—21no—
783D4×C53—21no—
784D4×C53—21no—
785D4×C53—21no—
786D4×C53—42no—
787D4×C53—42no—
788D4×C53—42no—
789D4×C53—42no—
790D4×C53—81no—
791D4×C53—81no—
792D4×C53—81no—
793D4×C53—81no—
794D4×C53—81no—
795D4×C53—81no—
796D4×C53—81no—
797D4×C53—81no—
798D4×C53H(5,𝔽2)12yes—
799C2×C4×C53—21no—
800C2×C4×C53—21no—
801C2×C4×C53—21no—
802C2×C4×C53—21no—
803C2×C4×C53—21no—
804C2×C4×C53—21no—
805C2×C4×C53—81no—
806C2×C4×C53—81no—
807C2×C4×C53C22×D411yescharacteristic
808C2×C4×C53C22×D411yescharacteristic
809C2×C4×C53C22×D411yescharacteristic
810C2×C4×C53C22×D411yescharacteristic
811C2×C4×C53C2511yescharacteristic
812C22⋊D53—24no—
813C22⋊D53—22no—
814C22⋊D53—41no—
815C22⋊D53—41no—
816C22⋊D53—41no—
817C22⋊D53—42no—
818C22⋊D53—42no—
819C22⋊D53—42no—
820C22⋊D53—42no—
821C22⋊D53—42no—
822C22⋊D53—42no—
823C22⋊D53—42no—
824C22⋊D53—42no—
825C22⋊D53—81no—
826C22⋊D53—81no—
827C22⋊D53—81no—
828C22⋊D53—81no—
829C22⋊D53—81no—
830C22⋊D53—81no—
831C22⋊D53—81no—
832C22⋊D53—81no—
833C22⋊D53—81no—
834C22⋊D53—81no—
835C22⋊D53—81no—
836C22⋊D53—81no—
837C22⋊D53—81no—
838C2×Dic53—24no—
839C2×Dic53—21no—
840C2×Dic53—21no—
841C2×Dic53—21no—
842C2×Dic53—21no—
843C2×Dic53—21no—
844C2×Dic53—21no—
845C2×Dic53—21no—
846C2×Dic53—41no—
847C2×Dic53—42no—
848C2×Dic53—42no—
849C2×Dic53—42no—
850C2×Dic53—42no—
851C2×Dic53—42no—
852C2×Dic53—42no—
853C2×Dic53—81no—
854C2×Dic53—81no—
855C2×Dic53—81no—
856C2×Dic53—81no—
857C2×Dic53—81no—
858C2×Dic53C22×D411yescharacteristic
859C2×Dic53C22×D411yescharacteristic
860C2×Dic53C22×D411yescharacteristic
861C2×Dic53C22×D411yescharacteristic
862C2×Dic53C22×D411yescharacteristic
863D212—21no—
864D212—21no—
865D212—41no—
866D212—41no—
867D212—81no—
868C4×D53—21no—
869C4×D53—21no—
870C4×D53—21no—
871C4×D53—21no—
872C4×D53—21no—
873C4×D53—21no—
874C4×D53—41no—
875C4×D53—41no—
876C4×D53—42no—
877C4×D53—81no—
878C4×D53—81no—
879Dic106—21no—
880Dic106—21no—
881Dic106—21no—
882Dic106—21no—
883Dic106—21no—
884Dic106—41no—
885Dic106—42no—
886Dic106—81no—
887Dic106H(5,𝔽2)12yes—
888C8×C53—21no—
889C8×C53—21no—
890C8×C53—21no—
891C8×C53—21no—
892#88322—21no—
893#88322—21no—
894#88322—21no—
895#88322—21no—
896#61639—531nomaximal, Sylow
897C22×C53—21no—
898C22×C53—21no—
899C22×C53—21no—
900C22×C53—22no—
901C22×C53—21no—
902C22×C53—21no—
903C22×C53—41no—
904C22×C53—41no—
905C22×C53—41no—
906C22×C53—41no—
907C22×C53—41no—
908C22×C53—41no—
909C22×C53—41no—
910C22×C53—41no—
911C22×C53—41no—
912C22×C53—41no—
913C22×C53—41no—
914C22×C53—41no—
915C22×C53—41no—
916C22×C53—41no—
917C22×C53—41no—
918C22×C53—41no—
919C22×C53—41no—
920C22×C53—84no—
921C22×C53—162no—
922C22×C53—162no—
923C22×C53—162no—
924C22×C53#57612yes—
925C22×C53C23×D411yescharacteristic
926C2×D53—21no—
927C2×D53—21no—
928C2×D53—21no—
929C2×D53—21no—
930C2×D53—21no—
931C2×D53—21no—
932C2×D53—21no—
933C2×D53—21no—
934C2×D53—21no—
935C2×D53—41no—
936C2×D53—41no—
937C2×D53—41no—
938C2×D53—82no—
939C2×D53—162no—
940C2×D53—162no—
941C4×C53—21no—
942C4×C53—21no—
943C4×C53—21no—
944C4×C53—21no—
945C4×C53—41no—
946C4×C53—41no—
947C4×C53C2×H(5,𝔽2)11yescharacteristic
948C4×C53C2×H(5,𝔽2)11yescharacteristic
949Dic53—21no—
950Dic53—22no—
951Dic53—21no—
952Dic53—21no—
953Dic53—21no—
954Dic53—21no—
955Dic53—41no—
956Dic53—41no—
957Dic53—41no—
958Dic53—41no—
959Dic53—41no—
960Dic53—41no—
961#3542—531no—
962#3488—531no—
963#3319—531no—
964#3310—531no—
965#3309—531no—
966#3308—531no—
967#3305—531no—
968#3300—531no—
969#3297—531no—
970#3294—531no—
971#3287—531no—
972#3282—531no—
973#3280—531no—
974D4×D8D5311yescharacteristic, complemented
975#3268—531no—
976#3268—531no—
977#3265—531no—
978#3264—531no—
979#3224—531no—
980#3220—531no—
981#3203—531no—
982#3198—531no—
983#3188—531no—
984#3186—531no—
985#3124—531no—
986#3119—531no—
987#3012—531no—
988#3008—531no—
989#3002—531no—
990C2×#449—531no—
991#2977—531no—
992C2×C53—22no—
993C2×C53—42no—
994C2×C53—41no—
995C2×C53—81no—
996C2×C53—81no—
997C2×C53—81no—
998C2×C53—81no—
999C2×C53—81no—
1000C2×C53#348411yescharacteristic
1001C2×C53C2×#57611yescharacteristic
1002C2×C53#358411yescharacteristic
1003D53—41no—
1004D53—41no—
1005D53—41no—
1006D53—81no—
1007C2×H(5,𝔽2)—531no—
1008C22×#41—531no—
1009C2×AGL(1,ℤ/8)—531no—
1010C2×AGL(1,ℤ/8)—531no—
1011C2×#135—531no—
1012C2×#135—531no—
1013C2×#135—531no—
1014C22×SD16—531no—
1015C22×D8C2×D5311yescharacteristic, complemented
1016C22×D8C2×D5311yescharacteristic, complemented
1017#562—1061no—
1018#560—1061no—
1019#555—531no—
1020#553—531no—
1021#552—531no—
1022#551—1061no—
1023#550—531no—
1024#550—531no—
1025#550—531no—
1026#548—531no—
1027#548—531no—
1028#547—531no—
1029#546—531no—
1030#546—531no—
1031#546—531no—
1032#546—531no—
1033#546—1061no—
1034#546—1061no—
1035#546—1061no—
1036D42—531no—
1037D42—1061no—
1038D42—1061no—
1039D42C2×D5311yescharacteristic
1040D42C2×D5311yescharacteristic, complemented
1041#542—531no—
1042#540—531no—
1043#540—1061no—
1044#538—1061no—
1045#537—531no—
1046#537—531no—
1047#537—1061no—
1048#535—531no—
1049#535—531no—
1050#535—1061no—
1051#535—1061no—
1052#534—1061no—
1053#525—531no—
1054#525—531no—
1055#525—1061no—
1056C2×#121—531no—
1057C2×#121—531no—
1058C2×#121—1061no—
1059#520—531no—
1060#496—531no—
1061#496—531no—
1062#495—531no—
1063#493C2×D5311yescharacteristic, complemented
1064#490—531no—
1065#489—531no—
1066#488—531no—
1067#486—531no—
1068#485—531no—
1069#484—531no—
1070#484—531no—
1071#482—531no—
1072#482—531no—
1073#482—531no—
1074#481—531no—
1075#480—531no—
1076#480—531no—
1077#480—531no—
1078#480—531no—
1079#480—531no—
1080#479—531no—
1081#478—531no—
1082#477—531no—
1083#474—531no—
1084#469—531no—
1085#468—531no—
1086#468—531no—
1087#468—531no—
1088#467—531no—
1089#466—531no—
1090#466—531no—
1091#466—531no—
1092#466—531no—
1093#466—531no—
1094#466—531no—
1095#466C2×D5311yescharacteristic, complemented
1096#466C2×D5311yescharacteristic, complemented
1097#465—531no—
1098#465—531no—
1099#465—531no—
1100#464—531no—
1101#464—531no—
1102#463—531no—
1103#463—531no—
1104#463—531no—
1105#463—531no—
1106#460—531no—
1107#460—531no—
1108#459—531no—
1109#459—531no—
1110#459C2×D5311yescharacteristic, complemented
1111#459C2×D5311yescharacteristic, complemented
1112#452—531no—
1113#452—531no—
1114#452—531no—
1115#452—531no—
1116#451—531no—
1117#450—531no—
1118#450—531no—
1119#450—531no—
1120#450—531no—
1121#449—531no—
1122#449—531no—
1123#449—531no—
1124#449—531no—
1125#449—531no—
1126#449—531no—
1127#449—531no—
1128#449—531no—
1129#449—531no—
1130#449—531no—
1131#449—531no—
1132#449—531no—
1133#449—531no—
1134#449—531no—
1135#449—531no—
1136#449—531no—
1137#448—531no—
1138#447—531no—
1139#447—531no—
1140#447—531no—
1141#447—531no—
1142#447—531no—
1143#447—531no—
1144#447C2×D5311yescharacteristic, complemented
1145#447C2×D5311yescharacteristic, complemented
1146#447C2×D5311yescharacteristic, complemented
1147#447C2×D5311yescharacteristic, complemented
1148#442—531no—
1149#440—531no—
1150#440—531no—
1151#440—531no—
1152C4×Q16—531no—
1153C4×SD16—531no—
1154C4×D8—531no—
1155C4×D8C2×D5311yescharacteristic, complemented
1156#435—531no—
1157#435—531no—
1158#435—531no—
1159#435—531no—
1160C8×D4—531no—
1161C8×D4—531no—
1162C8×D4—531no—
1163C8×D4C2×D5311yescharacteristic, complemented
1164#433—531no—
1165#433—531no—
1166#418—531no—
1167#417—531no—
1168#416—531no—
1169#416—531no—
1170#416—531no—
1171C2×#103—531no—
1172C2×#102—531no—
1173C2×#102—531no—
1174#408—531no—
1175#408—531no—
1176C2×C22⋊C8—531no—
1177C2×C22⋊C8—531no—
1178C53#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2122no—
1180H(5,𝔽2)—2122no—
1181C2×#41—531no—
1182C2×#41—531no—
1183C2×#41—531no—
1184C2×#41—531no—
1185C2×#41—531no—
1186C2×#41—531no—
1187C2×#41—531no—
1188C2×#41—531no—
1189C2×#41—531no—
1190C2×#41—1061no—
1191C2×#41—1061no—
1192C2×#41—1061no—
1193C2×#41—1061no—
1194C2×#41—2122no—
1195C2×#41—2122no—
1196C22×Q8—531no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—531no—
1200C22×D4—531no—
1201C22×D4—1061no—
1202C22×D4—1061no—
1203C22×D4—1061no—
1204C22×D4—1061no—
1205C22×D4—1061no—
1206C22×D4—1061no—
1207C22×D4—1061no—
1208C22×D4C22×D5311yescharacteristic
1209C22×D4C22×D5311yescharacteristic
1210C22×D4C22×D5311yescharacteristic
1211C22×D4C22×D5311yescharacteristic
1212C23×C4—531no—
1213C23×C4—1061no—
1214AGL(1,ℤ/8)—2122no—
1215AGL(1,ℤ/8)—2122no—
1216#135—2122no—
1217#135—2122no—
1218#135—2122no—
1219C2×Q16—531no—
1220C2×Q16—531no—
1221C2×SD16—531no—
1222C2×SD16—531no—
1223C2×SD16—531no—
1224C2×SD16—531no—
1225C2×SD16—531no—
1226C2×SD16—531no—
1227C2×SD16—531no—
1228C2×SD16—531no—
1229C2×SD16—531no—
1230C2×SD16—531no—
1231C2×SD16—2122no—
1232C2×D8—42no—
1233C2×D8—42no—
1234C2×D8—531no—
1235C2×D8—531no—
1236C2×D8—531no—
1237C2×D8C22×D5311yescharacteristic
1238C2×D8C22×D5311yescharacteristic
1239C2×D8C22×D5311yescharacteristic
1240C2×D8C22×D5311yescharacteristic
1241C2×D8C22×D5311yescharacteristic
1242C2×D8C22×D5311yescharacteristic
1243C2×D8C22×D5311yescharacteristic
1244C2×D8C22×D5311yescharacteristic
1245C2×D8C22×D5311yescharacteristic
1246C2×M16—531no—
1247C2×M16—531no—
1248C22×C8—531no—
1249C22×C8—531no—
1250C22×C8—531no—
1251C22×C8—531no—
1252C22×C8C22×D5311yescharacteristic
1253C22×C8C22×D5311yescharacteristic
1254C4⋊Q8—531no—
1255#127—531no—
1256#127—1061no—
1257#127—1061no—
1258#127—1061no—
1259#127—1061no—
1260#127C22×D5311yescharacteristic
1261#127C22×D5311yescharacteristic
1262#126—1061no—
1263#126—1061no—
1264#126—1061no—
1265#125—531no—
1266#125—1061no—
1267#124—531no—
1268#124—531no—
1269#124—531no—
1270#124—1061no—
1271#124—1061no—
1272#124—1061no—
1273#124—1061no—
1274#124—1061no—
1275#124—1061no—
1276#123—531no—
1277#123—531no—
1278#123—1061no—
1279#123—1061no—
1280#123—1061no—
1281#123—1061no—
1282#123—1061no—
1283#123—1061no—
1284#123—1061no—
1285#123—1061no—
1286#123—1061no—
1287#123—1061no—
1288#123—1061no—
1289#123—1061no—
1290C22⋊Q8—531no—
1291C22⋊Q8—531no—
1292C22⋊Q8—531no—
1293C22⋊Q8—531no—
1294C22⋊Q8—531no—
1295C22⋊Q8—531no—
1296C22⋊Q8—531no—
1297C22⋊Q8—1061no—
1298C22⋊Q8—1061no—
1299C22⋊Q8—1061no—
1300C22⋊Q8—1061no—
1301C22⋊Q8—1061no—
1302C22⋊Q8—1061no—
1303#121—21no—
1304#121—21no—
1305#121—531no—
1306#121—531no—
1307#121—531no—
1308#121—531no—
1309#121—531no—
1310#121—531no—
1311#121—531no—
1312#121—531no—
1313#121—531no—
1314#121—531no—
1315#121—531no—
1316#121—531no—
1317#121—531no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121—1061no—
1326#121—1061no—
1327#121—1061no—
1328#121—1061no—
1329#121—1061no—
1330#121—1061no—
1331#121—1061no—
1332#121—1061no—
1333#121—1061no—
1334#121—1061no—
1335#121—1061no—
1336#121—1061no—
1337#121—1061no—
1338#121—1061no—
1339#121—1061no—
1340#121—1061no—
1341#121—1061no—
1342#121—1061no—
1343#121—1061no—
1344#121—1061no—
1345#121—1061no—
1346#121—1061no—
1347#121C22×D5311yescharacteristic
1348#121C22×D5311yescharacteristic
1349#121C22×D5311yescharacteristic
1350#121C22×D5311yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—531no—
1356#120—531no—
1357#120—1061no—
1358#120—1061no—
1359#120—1061no—
1360#120—1061no—
1361#120—1061no—
1362#120—1061no—
1363#120—1061no—
1364#120—1061no—
1365#120—1061no—
1366#120—1061no—
1367#120—1061no—
1368C4×Q8—531no—
1369C4×Q8—531no—
1370C4×Q8—531no—
1371C4×D4—531no—
1372C4×D4—531no—
1373C4×D4—531no—
1374C4×D4—531no—
1375C4×D4—531no—
1376C4×D4—531no—
1377C4×D4—1061no—
1378C4×D4—1061no—
1379C4×D4—1061no—
1380C4×D4—1061no—
1381C4×D4—1061no—
1382C4×D4—1061no—
1383C4×D4—1061no—
1384C4×D4—1061no—
1385C4×D4—1061no—
1386C4×D4—1061no—
1387C4×D4C22×D5311yescharacteristic
1388C4×D4C22×D5311yescharacteristic
1389C4×D4C22×D5311yescharacteristic
1390#117—531no—
1391#117—531no—
1392#117—531no—
1393#117—1061no—
1394#117—1061no—
1395#117—1061no—
1396C2×C4⋊C4—531no—
1397C2×C4⋊C4—531no—
1398C2×C4⋊C4—531no—
1399C2×C4⋊C4—1061no—
1400C2×C22⋊C4—1061no—
1401C2×C22⋊C4—1061no—
1402C2×C22⋊C4—1061no—
1403C2×C22⋊C4—1061no—
1404C2×C22⋊C4—1061no—
1405C2×C22⋊C4—1061no—
1406#107—531no—
1407#107—531no—
1408#107—531no—
1409#107—531no—
1410#107—531no—
1411#107C22×D5311yescharacteristic
1412#106—531no—
1413#106—531no—
1414C4⋊C8—531no—
1415C4⋊C8—531no—
1416C4⋊C8—531no—
1417C4⋊C8C22×D5311yescharacteristic
1418#103—531no—
1419#103—531no—
1420#103—531no—
1421#103—531no—
1422#103—531no—
1423#103—531no—
1424#103—531no—
1425#103—531no—
1426#103—531no—
1427#103—531no—
1428#102—531no—
1429#102—531no—
1430#102—531no—
1431#102—531no—
1432#102—531no—
1433#102—531no—
1434#102—531no—
1435#102—531no—
1436#102—531no—
1437#102—531no—
1438#102—531no—
1439#102—531no—
1440#102—531no—
1441#102—531no—
1442#102—531no—
1443#102—531no—
1444#102C22×D5311yescharacteristic
1445#102C22×D5311yescharacteristic
1446#102C22×D5311yescharacteristic
1447#102C22×D5311yescharacteristic
1448#102C22×D5311yescharacteristic
1449#102C22×D5311yescharacteristic
1450C22⋊C8—531no—
1451C22⋊C8—531no—
1452C22⋊C8—531no—
1453C22⋊C8—531no—
1454C22⋊C8—531no—
1455C22⋊C8—531no—
1456C22⋊C8—531no—
1457C22⋊C8—531no—
1458C22⋊C8—531no—
1459C22⋊C8—531no—
1460C22⋊C8C22×D5311yescharacteristic
1461C22⋊C8C22×D5311yescharacteristic
1462#97—531no—
1463#97—531no—
1464C4×C8—531no—
1465C4×C8C22×D5311yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—531no—
1471C24—1061no—
1472C24—1061no—
1473#41—1062no—
1474#41—1062no—
1475#41—1062no—
1476#41—1062no—
1477#41—1062no—
1478#41—1062no—
1479#41—4242no—
1480#41—2121no—
1481#41—2121no—
1482#41—2121no—
1483#41—2121no—
1484#41—2121no—
1485#41—2121no—
1486#41—2121no—
1487#41—2121no—
1488#41—2121no—
1489#41—2121no—
1490#41—2121no—
1491#41—2121no—
1492#41—2124no—
1493#41—2124no—
1494#41—2124no—
1495C2×Q8—531no—
1496C2×Q8—531no—
1497C2×Q8—531no—
1498C2×Q8—531no—
1499C2×Q8—1061no—
1500C2×Q8—1062no—
1501C2×Q8—1061no—
1502C2×Q8—2121no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—41no—
1518C2×D4—41no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—41no—
1523C2×D4—82no—
1524C2×D4—82no—
1525C2×D4—531no—
1526C2×D4—531no—
1527C2×D4—531no—
1528C2×D4—531no—
1529C2×D4—531no—
1530C2×D4—531no—
1531C2×D4—531no—
1532C2×D4—1061no—
1533C2×D4—1061no—
1534C2×D4—1061no—
1535C2×D4—1061no—
1536C2×D4—1061no—
1537C2×D4—1061no—
1538C2×D4—1062no—
1539C2×D4—1061no—
1540C2×D4—1061no—
1541C2×D4—1061no—
1542C2×D4—1061no—
1543C2×D4—1061no—
1544C2×D4—1061no—
1545C2×D4—1061no—
1546C2×D4—1061no—
1547C2×D4—1061no—
1548C2×D4—1061no—
1549C2×D4—1061no—
1550C2×D4—1061no—
1551C2×D4—1061no—
1552C2×D4—1061no—
1553C2×D4—1061no—
1554C2×D4—1061no—
1555C2×D4—1061no—
1556C2×D4—4242no—
1557C2×D4—4242no—
1558C2×D4—4242no—
1559C2×D4—2121no—
1560C2×D4—2121no—
1561C2×D4—2121no—
1562C2×D4—2124no—
1563C2×D4—2124no—
1564C2×D4—2124no—
1565C2×D4—2124no—
1566C2×D4D4×D5311yescharacteristic
1567C2×D4C23×D5311yescharacteristic
1568C2×D4C23×D5311yescharacteristic
1569C2×D4C23×D5311yescharacteristic
1570C2×D4C23×D5311yescharacteristic
1571C2×D4C23×D5311yescharacteristic
1572C2×D4C23×D5311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—531no—
1576C22×C4—531no—
1577C22×C4—531no—
1578C22×C4—531no—
1579C22×C4—531no—
1580C22×C4—531no—
1581C22×C4—1061no—
1582C22×C4—1061no—
1583C22×C4—1061no—
1584C22×C4—1061no—
1585C22×C4—1061no—
1586C22×C4—1061no—
1587C22×C4—1061no—
1588C22×C4—1061no—
1589C22×C4—1061no—
1590C22×C4—1061no—
1591C22×C4—1061no—
1592C22×C4—1061no—
1593C22×C4—1061no—
1594C22×C4—1061no—
1595C22×C4—1061no—
1596C22×C4—2121no—
1597C22×C4—2121no—
1598C22×C4—2124no—
1599C22×C4C23×D5311yescharacteristic
1600C22×C4C23×D5311yescharacteristic
1601Q16—1062no—
1602Q16—2121no—
1603SD16—1062no—
1604SD16—1062no—
1605SD16—1062no—
1606SD16—1062no—
1607SD16—2121no—
1608SD16—2121no—
1609SD16—2121no—
1610SD16—2121no—
1611SD16—2121no—
1612SD16—2121no—
1613D8—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—2121no—
1623D8—2121no—
1624D8—2121no—
1625M16—2121no—
1626M16—2121no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—531no—
1630C2×C8—531no—
1631C2×C8—531no—
1632C2×C8—531no—
1633C2×C8—2121no—
1634C2×C8—2121no—
1635C2×C8—2121no—
1636C2×C8—2121no—
1637C2×C8C23×D5311yescharacteristic
1638C2×C8C23×D5311yescharacteristic
1639C2×C8C23×D5311yescharacteristic
1640C2×C8C23×D5311yescharacteristic
1641C4⋊C4—531no—
1642C4⋊C4—531no—
1643C4⋊C4—531no—
1644C4⋊C4—531no—
1645C4⋊C4—531no—
1646C4⋊C4—531no—
1647C4⋊C4—531no—
1648C4⋊C4—531no—
1649C4⋊C4—531no—
1650C4⋊C4—1061no—
1651C4⋊C4—1061no—
1652C4⋊C4—1061no—
1653C4⋊C4—1061no—
1654C4⋊C4—1061no—
1655C4⋊C4—1061no—
1656C4⋊C4—1061no—
1657C4⋊C4—1061no—
1658C4⋊C4—1061no—
1659C4⋊C4—1061no—
1660C4⋊C4—1061no—
1661C4⋊C4—1061no—
1662C4⋊C4—1061no—
1663C4⋊C4—1061no—
1664C4⋊C4D4×D5311yescharacteristic
1665C4⋊C4C23×D5311yescharacteristic
1666C4⋊C4C23×D5311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—531no—
1674C22⋊C4—531no—
1675C22⋊C4—531no—
1676C22⋊C4—531no—
1677C22⋊C4—531no—
1678C22⋊C4—531no—
1679C22⋊C4—531no—
1680C22⋊C4—531no—
1681C22⋊C4—1061no—
1682C22⋊C4—1061no—
1683C22⋊C4—1061no—
1684C22⋊C4—1061no—
1685C22⋊C4—1061no—
1686C22⋊C4—1061no—
1687C22⋊C4—1061no—
1688C22⋊C4—1061no—
1689C22⋊C4—1061no—
1690C22⋊C4—1061no—
1691C22⋊C4—1061no—
1692C22⋊C4—1061no—
1693C22⋊C4—1061no—
1694C22⋊C4—1061no—
1695C22⋊C4—1061no—
1696C22⋊C4—1061no—
1697C22⋊C4—1061no—
1698C22⋊C4—1061no—
1699C22⋊C4—1061no—
1700C22⋊C4—1061no—
1701C22⋊C4—1061no—
1702C22⋊C4—1061no—
1703C22⋊C4—1061no—
1704C22⋊C4—1061no—
1705C22⋊C4—1061no—
1706C22⋊C4—1061no—
1707C22⋊C4—1061no—
1708C22⋊C4D4×D5311yescharacteristic
1709C22⋊C4D4×D5311yescharacteristic
1710C42—531no—
1711C42—1061no—
1712C42—1061no—
1713C42—1061no—
1714C42—1061no—
1715C42—1061no—
1716C42C23×D5311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—81no—
1732C23—81no—
1733C23—81no—
1734C23—81no—
1735C23—531no—
1736C23—531no—
1737C23—531no—
1738C23—1062no—
1739C23—1061no—
1740C23—4241no—
1741C23—4241no—
1742C23—4241no—
1743C23—4241no—
1744C23—2122no—
1745C23—2121no—
1746C23—2121no—
1747C23—2122no—
1748C23C2×D4×D5311yescharacteristic
1749C23C2×D4×D5311yescharacteristic
1750Q8—532no—
1751Q8—1061no—
1752Q8—1061no—
1753Q8—1061no—
1754Q8—1061no—
1755Q8—1061no—
1756Q8—4241no—
1757Q8—2121no—
1758Q8—2122no—
1759D4—22no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—1064no—
1784D4—1062no—
1785D4—1061no—
1786D4—1061no—
1787D4—4241no—
1788D4—4241no—
1789D4—4241no—
1790D4—4241no—
1791D4—4241no—
1792D4—4241no—
1793D4—4241no—
1794D4—4241no—
1795D4—4241no—
1796D4—4241no—
1797D4—4241no—
1798D4—4241no—
1799D4—4241no—
1800D4—4241no—
1801D4—2121no—
1802D4—2121no—
1803D4—2121no—
1804D4—2121no—
1805D4—2121no—
1806D4—2122no—
1807D4—2122no—
1808D4—2122no—
1809D4—2122no—
1810D4—2122no—
1811D4—2122no—
1812D4—2122no—
1813D4—2122no—
1814D4#1313326212yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—531no—
1824C2×C4—531no—
1825C2×C4—531no—
1826C2×C4—531no—
1827C2×C4—531no—
1828C2×C4—1064no—
1829C2×C4—1061no—
1830C2×C4—1061no—
1831C2×C4—1061no—
1832C2×C4—1061no—
1833C2×C4—1061no—
1834C2×C4—1061no—
1835C2×C4—1061no—
1836C2×C4—1061no—
1837C2×C4—1061no—
1838C2×C4—1061no—
1839C2×C4—1061no—
1840C2×C4—1061no—
1841C2×C4—1061no—
1842C2×C4—4241no—
1843C2×C4—4241no—
1844C2×C4—4241no—
1845C2×C4—4241no—
1846C2×C4—4241no—
1847C2×C4—4241no—
1848C2×C4—4241no—
1849C2×C4—2121no—
1850C2×C4—2121no—
1851C2×C4—2122no—
1852C2×C4—2121no—
1853C2×C4—2122no—
1854C2×C4—2122no—
1855C2×C4—2122no—
1856C2×C4—2122no—
1857C2×C4—2122no—
1858C2×C4—2122no—
1859C2×C4C2×D4×D5311yescharacteristic
1860C2×C4C2×D4×D5311yescharacteristic
1861C2×C4C2×D4×D5311yescharacteristic
1862C2×C4C2×D4×D5311yescharacteristic
1863C2×C4C24×D5311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1061no—
1869C8—1061no—
1870C8—1061no—
1871C8—1061no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—22no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—84no—
1896C22—162no—
1897C22—162no—
1898C22—162no—
1899C22—8482no—
1900C22—8482no—
1901C22—1061no—
1902C22—1061no—
1903C22—1061no—
1904C22—1061no—
1905C22—1061no—
1906C22—1061no—
1907C22—1061no—
1908C22—1061no—
1909C22—1061no—
1910C22—4242no—
1911C22—2121no—
1912C22—2121no—
1913C22—2121no—
1914C22#1681142412yes—
1915C22C22×D4×D5311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—1061no—
1923C4—1061no—
1924C4—1061no—
1925C4—1062no—
1926C4—1061no—
1927C4—1061no—
1928C4—2121no—
1929C4—2121no—
1930C4—2121no—
1931C4—2121no—
1932C4—2121no—
1933C4—2121no—
1934C4H(5,𝔽2)×D5311yescharacteristic
1935C4C2×#1313326211yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—81no—
1944C2—4241no—
1945C2—2121no—
1946C2—2121no—
1947C2—2121no—
1948C2#2028834311yescharacteristic
1949C2C2×#1681142411yescharacteristic
1950C2#2028948311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingD4×D8×C53C2
socleC22×C53C23×D4
hypercenterD4×D8D53
hypocenterC53#61639
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×D8

Complements

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

NH ≅ G/Ntype
1. #20289036C2semidirect
2. #20288375C2semidirect
3. #20286864C2semidirect
4. #20286736C2semidirect
5. #20286728C2semidirect
6. #20286712C2semidirect
7. #20286660C2semidirect
8. #20286604C2semidirect
9. #20286570C2semidirect
10. #20286521C2semidirect
11. #20286473C2semidirect
12. #20286426C2semidirect
13. #20286400C2semidirect
14. #20286261C2semidirect
15. #20286253C2semidirect
16. #20286206C2semidirect
17. #20286195C2semidirect
18. #20285806C2semidirect
19. #20285758C2semidirect
20. #20285611C2semidirect
21. #20285563C2semidirect
22. #20285475C2semidirect
23. #20285464C2semidirect
24. #20284973C2semidirect
25. #20284911C2semidirect
26. #20284014C2semidirect
27. #20283979C2semidirect
28. #20283928C2semidirect
29. C2×#16810765C2semidirect
30. #20283768C2semidirect
31. D4×D8×C53C2semidirect
32. C2×#13133262C22semidirect
33. C22×#11719947C22semidirect
34. C2×#13133243C22semidirect
35. C2×#13133241C22semidirect
36. C2×#13133236C22semidirect
37. C2×#13133236C22semidirect
38. C2×#13133236C22semidirect
39. C22×#11719923C22semidirect
42. #16811337C22semidirect
43. #16811323C22semidirect
44. #16811313C22semidirect
46. #16811293C22semidirect
47. #16811293C22semidirect
48. #16811291C22semidirect
50. #16811279C22semidirect
51. #16811273C22semidirect
52. #16811268C22semidirect
54. #16811267C22semidirect
55. #16811267C22semidirect
56. #16811267C22semidirect
60. D4×C22⋊D53C22semidirect
62. #16811238C22semidirect
63. #16811227C22semidirect
66. #16811202C22semidirect
67. #16811202C22semidirect
69. #16811190C22semidirect
72. #16811186C22semidirect
74. #16811133C22semidirect
78. C2×#13133188C22semidirect
79. #121×D53C22semidirect
80. #16811102C22semidirect
81. #16811011C22semidirect
82. #16811010C22semidirect
83. #16811006C22semidirect
84. #16810987C22semidirect
85. #16810981C22semidirect
86. #16810978C22semidirect
87. #16810968C22semidirect
88. #16810965C22semidirect
89. #16810960C22semidirect
90. #16810960C22semidirect
91. #16810950C22semidirect
92. #16810946C22semidirect
93. #16810944C22semidirect
94. #16810940C22semidirect
95. #16810937C22semidirect
96. #16810935C22semidirect
97. #16810935C22semidirect
98. #16810935C22semidirect
99. #16810934C22semidirect
100. #16810931C22semidirect
101. #16810923C22semidirect
102. #16810917C22semidirect
103. #16810901C22semidirect
104. #16810873C22semidirect
105. #16810868C22semidirect
106. #16810867C22semidirect
107. #16810867C22semidirect
108. #16810864C22semidirect
109. #16810858C22semidirect
110. #16810858C22semidirect
111. #16810857C22semidirect
112. #16810856C22semidirect
113. #16810856C22semidirect
114. #16810856C22semidirect
115. #16810852C22semidirect
116. #16810851C22semidirect
117. #16810850C22semidirect
118. #16810846C22semidirect
119. #16810844C22semidirect
120. #16810838C22semidirect
121. #16810836C22semidirect
122. #16810836C22semidirect
123. #16810836C22semidirect
124. #16810820C22semidirect
125. #16810820C22semidirect
126. #16810816C22semidirect
127. #16810816C22semidirect
128. #16810787C22semidirect
129. #16810786C22semidirect
130. #16810786C22semidirect
131. #16810786C22semidirect
132. #16810781C22semidirect
133. #16810775C22semidirect
134. #16810774C22semidirect
135. #16810774C22semidirect
136. #16810774C22semidirect
137. #16810769C22semidirect
138. #16810766C22semidirect
140. #16810765C22semidirect
141. #16810765C22semidirect
142. #16810765C22semidirect
143. #16810765C22semidirect
144. #16810765C22semidirect
145. #16810765C22semidirect
146. #16810765C22semidirect
147. #16810765C22semidirect
148. #16810765C22semidirect
149. #16810765C22semidirect
150. #16810765C22semidirect
151. #16810765C22semidirect
152. #16810765C22semidirect
153. #16810761C22semidirect
154. #16810757C22semidirect
155. #16810755C22semidirect
156. #16810755C22semidirect
157. #16810755C22semidirect
158. #16810755C22semidirect
159. #16810755C22semidirect
160. #16810735C22semidirect
161. #16810723C22semidirect
162. #16810723C22semidirect
163. #16810720C22semidirect
164. C4×Dic212C22semidirect
165. #16810714C22semidirect
166. D8×Dic53C22semidirect
167. #16810697C22semidirect
168. #16810695C22semidirect
169. #16810694C22semidirect
170. #16810693C22semidirect
171. C8×D212C22semidirect
172. C8×C22⋊D53C22semidirect
173. #16810686C22semidirect
174. #16810683C22semidirect
175. #16810682C22semidirect
176. #16810628C22semidirect
177. #16810621C22semidirect
178. #16810620C22semidirect
179. #16810616C22semidirect
180. #16810616C22semidirect
181. C2×#13133142C22semidirect
182. C2×#13133138C22semidirect
183. #102×D53C22semidirect
184. #16810589C22semidirect
185. #16810588C22semidirect
186. C2×#13133129C22semidirect
187. C22⋊C8×D53C22semidirect
188. C22×D8×C53C22semidirect
189. C22×D8×C53C22semidirect
191. D42×C53C22semidirect
192. C53×#493C22semidirect
193. C53×#466C22semidirect
194. C53×#466C22semidirect
195. C53×#459C22semidirect
196. C53×#459C22semidirect
197. C53×#447C22semidirect
198. C53×#447C22semidirect
199. C53×#447C22semidirect
200. C53×#447C22semidirect
201. C4×D8×C53C22semidirect
202. C8×D4×C53C22semidirect
974. D4×D8D53semidirect
1015. C22×D8C2×D53semidirect
1016. C22×D8C2×D53semidirect
1040. D42C2×D53semidirect
1063. #493C2×D53semidirect
1095. #466C2×D53semidirect
1096. #466C2×D53semidirect
1110. #459C2×D53semidirect
1111. #459C2×D53semidirect
1144. #447C2×D53semidirect
1145. #447C2×D53semidirect
1146. #447C2×D53semidirect
1147. #447C2×D53semidirect
1155. C4×D8C2×D53semidirect
1163. C8×D4C2×D53semidirect
1178. C53#61639semidirect

Maximal subgroups

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

subgroupindex
#202890362
#202883752
#202868642
#202867362
#202867282
#202867122
#202866602
#202866042
#202865702
#202865212
#202864732
#202864262
#202864002
#202862612
#202862532
#202862062
#202861952
#202858062
#202857582
#202856112
#202855632
#202854752
#202854642
#202849732
#202849112
#202840142
#202839792
#202839282
C2×#168107652
#202837682
D4×D8×C532
#6163953