Finite Group Databasebeta

← #28269020

Subgroups — #28269020

Order 13568.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288542C211yesmaximal, characteristic, complemented
2#550×D53C211yesmaximal, characteristic, complemented
3#20286843C211yesmaximal, characteristic, complemented
4#20286841C211yesmaximal, characteristic, complemented
5#20286836C211yesmaximal, characteristic, complemented
6#20286834C211yesmaximal, characteristic, complemented
7#20286728C211yesmaximal, characteristic, complemented
8#20286727C211yesmaximal, characteristic, complemented
9#20286726C211yesmaximal, characteristic, complemented
10#20286725C211yesmaximal, characteristic, complemented
11#20286306C211yesmaximal, characteristic, complemented
12#20286300C211yesmaximal, characteristic, complemented
13#20286299C211yesmaximal, characteristic, complemented
14#20286293C211yesmaximal, characteristic, complemented
15#20286253C211yesmaximal, characteristic, complemented
16#20286251C211yesmaximal, characteristic, complemented
17#20286249C211yesmaximal, characteristic, complemented
18#20285732C211yesmaximal, characteristic, complemented
19#20285729C211yesmaximal, characteristic, complemented
20#20285516C211yesmaximal, characteristic, complemented
21#20285513C211yesmaximal, characteristic, complemented
22#20285478C211yesmaximal, characteristic, complemented
23#20285475C211yesmaximal, characteristic, complemented
24#20284885C211yesmaximal, characteristic, complemented
25#20284884C211yesmaximal, characteristic, complemented
26#20283972C211yesmaximal, characteristic, complemented
27#20283963C211yesmaximal, characteristic, complemented
28#20283930C211yesmaximal, characteristic, complemented
29#20283929C211yesmaximal, characteristic, complemented
30#20283740C211yesmaximal, characteristic, complemented
31C53×#3268C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic, complemented
34C2×#13133249C2211yescharacteristic, complemented
35C2×#13133246C2211yescharacteristic, complemented
36C2×#13133243C2211yescharacteristic, complemented
37C2×#13133238C2211yescharacteristic, complemented
38C2×#13133237C2211yescharacteristic, complemented
39C2×#13133236C2211yescharacteristic, complemented
40#16811323C2211yescharacteristic, complemented
41#16811320—21no—
42#16811320C2211yescharacteristic, complemented
43#16811318—21no—
44#16811315C2211yescharacteristic, complemented
45#16811313C2211yescharacteristic, complemented
46#16811304—21no—
47#16811299—21no—
48#16811295C2211yescharacteristic, complemented
49#16811294—21no—
50#16811294C2211yescharacteristic
51#16811293—21no—
52#16811293C2211yescharacteristic, complemented
53#16811292C2211yescharacteristic
54#16811292C2211yescharacteristic, complemented
55#16811291—21no—
56#16811291—21no—
57#16811291C2211yescharacteristic
58#16811291C2211yescharacteristic, complemented
59#16811281C2211yescharacteristic, complemented
60#16811280C2211yescharacteristic, complemented
61#16811267C2211yescharacteristic, complemented
62#16811216—21no—
63#16811205—21no—
64#16811183—21no—
65#127×D53—21no—
66#127×D53C2211yescharacteristic, complemented
67#16811155C2211yescharacteristic
68#16811152C2211yescharacteristic
69#16811133C2211yescharacteristic
70#16811130C2211yescharacteristic
71C22⋊Q8×D53C2211yescharacteristic
72C2×#13133188C2211yescharacteristic
73#121×D53—21no—
74#121×D53—21no—
75#121×D53C2211yescharacteristic
76#121×D53C2211yescharacteristic, complemented
77#16811096—21no—
78C4×Q8×D53C2211yescharacteristic, complemented
79C4×D4×D53—21no—
80C4×D4×D53C2211yescharacteristic
81#16811013C2211yescharacteristic, complemented
82#16811011C2211yescharacteristic, complemented
83#16811011C2211yescharacteristic, complemented
84#16810988C2211yescharacteristic, complemented
85#16810987C2211yescharacteristic, complemented
86#16810986C2211yescharacteristic, complemented
87#16810986C2211yescharacteristic, complemented
88#16810960C2211yescharacteristic, complemented
89#16810957C2211yescharacteristic, complemented
90#16810950C2211yescharacteristic, complemented
91#16810948C2211yescharacteristic, complemented
92#16810946C2211yescharacteristic, complemented
93#16810944C2211yescharacteristic, complemented
94#16810942C2211yescharacteristic, complemented
95#16810940C2211yescharacteristic
96#16810940C2211yescharacteristic
97#16810939C2211yescharacteristic, complemented
98#16810938C2211yescharacteristic, complemented
99#16810935C2211yescharacteristic, complemented
100#16810931C2211yescharacteristic, complemented
101#16810930C2211yescharacteristic, complemented
102#16810929C2211yescharacteristic, complemented
103#16810928C2211yescharacteristic, complemented
104#16810875C2211yescharacteristic, complemented
105#16810875C2211yescharacteristic, complemented
106#16810873C2211yescharacteristic, complemented
107#16810873C2211yescharacteristic, complemented
108#16810871C2211yescharacteristic, complemented
109#16810869C2211yescharacteristic, complemented
110#16810867C2211yescharacteristic, complemented
111#16810858C2211yescharacteristic, complemented
112#16810857C2211yescharacteristic, complemented
113#16810856C2211yescharacteristic, complemented
114#16810855C2211yescharacteristic, complemented
115#16810852C2211yescharacteristic, complemented
116#16810850C2211yescharacteristic, complemented
117#16810849C2211yescharacteristic, complemented
118#16810844C2211yescharacteristic, complemented
119#16810843C2211yescharacteristic, complemented
120#16810842C2211yescharacteristic, complemented
121#16810824C2211yescharacteristic, complemented
122#16810821C2211yescharacteristic, complemented
123#16810821C2211yescharacteristic, complemented
124#16810820C2211yescharacteristic, complemented
125#16810818C2211yescharacteristic, complemented
126#16810816C2211yescharacteristic, complemented
127#16810816C2211yescharacteristic, complemented
128#16810787C2211yescharacteristic, complemented
129#16810787C2211yescharacteristic, complemented
130#16810785C2211yescharacteristic, complemented
131#16810785C2211yescharacteristic, complemented
132#16810784C2211yescharacteristic, complemented
133#16810783C2211yescharacteristic, complemented
134#16810782C2211yescharacteristic, complemented
135#16810780C2211yescharacteristic, complemented
136#16810777C2211yescharacteristic, complemented
137#16810775C2211yescharacteristic, complemented
138#16810775C2211yescharacteristic, complemented
139#16810772C2211yescharacteristic, complemented
140#16810772C2211yescharacteristic, complemented
141#16810769C2211yescharacteristic, complemented
142#16810768C2211yescharacteristic, complemented
143#16810767C2211yescharacteristic, complemented
144#16810767C2211yescharacteristic, complemented
145#16810767C2211yescharacteristic, complemented
146#16810766C2211yescharacteristic, complemented
147#16810765C2211yescharacteristic, complemented
148#16810765C2211yescharacteristic, complemented
149#16810765C2211yescharacteristic, complemented
150#16810765C2211yescharacteristic, complemented
151#16810763C2211yescharacteristic, complemented
152#16810760C2211yescharacteristic
153#16810760C2211yescharacteristic
154#16810760C2211yescharacteristic, complemented
155#16810757C2211yescharacteristic, complemented
156#16810755C2211yescharacteristic
157#16810755C2211yescharacteristic
158#16810755C2211yescharacteristic
159#16810755C2211yescharacteristic
160#16810731C2211yescharacteristic, complemented
161#16810730C2211yescharacteristic, complemented
162#16810728C2211yescharacteristic, complemented
163#16810727C2211yescharacteristic, complemented
164#16810724C2211yescharacteristic, complemented
165#16810723C2211yescharacteristic, complemented
166#16810720C2211yescharacteristic, complemented
167#16810697C2211yescharacteristic, complemented
168#16810696C2211yescharacteristic, complemented
169#16810695C2211yescharacteristic, complemented
170#16810694C2211yescharacteristic, complemented
171#16810693C2211yescharacteristic, complemented
172#16810692C2211yescharacteristic, complemented
173#16810691C2211yescharacteristic, complemented
174#16810679C2211yescharacteristic, complemented
175#16810678C2211yescharacteristic, complemented
176#16810625C2211yescharacteristic, complemented
177#16810624C2211yescharacteristic, complemented
178#16810623C2211yescharacteristic, complemented
179#16810621C2211yescharacteristic, complemented
180#16810620C2211yescharacteristic, complemented
181#16810619C2211yescharacteristic, complemented
182#16810618C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic, complemented
184#16810586C2211yescharacteristic
185#16810585C2211yescharacteristic
186C2×#13133129C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C53C2211yescharacteristic, complemented
189C2×#135×C53C2211yescharacteristic, complemented
190C53×#550C2211yescharacteristic
191C53×#546C2211yescharacteristic, complemented
192C53×#496C2211yescharacteristic, complemented
193C53×#468C2211yescharacteristic, complemented
194C53×#466C2211yescharacteristic, complemented
195C53×#464C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic, complemented
198C53×#449C2211yescharacteristic, complemented
199C53×#449C2211yescharacteristic, complemented
200C53×#447C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic, complemented
202C53×#435C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719949C2311yescharacteristic
205C2×#11719945—21no—
206C2×#11719945—21no—
207C2×#11719945C2311yescharacteristic
208C2×#11719945C2311yescharacteristic
209C2×#11719947—21no—
210C2×#11719947—21no—
211C2×#11719947C2311yescharacteristic
212C2×#11719947C2311yescharacteristic
213C2×#11719947C2311yescharacteristic
214#41×D53—42no—
215#41×D53—42no—
216#41×D53—42no—
217#41×D53—42no—
218C2×Q8×D53C2311yescharacteristic
219C2×Q8×D53C2311yescharacteristic
220C22×C22⋊D53—21no—
221C2×D4×D53—21no—
222C2×D4×D53—21no—
223C2×D4×D53—21no—
224C2×D4×D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53D411yescharacteristic
228C2×D4×D53C2311yescharacteristic
229C2×D4×D53C2311yescharacteristic
230C22×C4×D53—21no—
231C22×C4×D53—21no—
232C22×C4×D53C2311yescharacteristic
233C22×C4×D53C2311yescharacteristic
234#13133249—42no—
235#13133246—42no—
236#13133243—42no—
237#13133238—42no—
238#13133237—42no—
239#13133236—42no—
240C2×Dic212C2311yescharacteristic
241C2×#11719925C2311yescharacteristic
242C2×#11719925C2311yescharacteristic
243C2×#11719913C2311yescharacteristic
244C2×#11719913C2311yescharacteristic
245C2×#11719923C2311yescharacteristic
246C2×#11719923C2311yescharacteristic
247C2×#11719923C2311yescharacteristic
248C2×#11719923C2311yescharacteristic
249C2×#11719924C2311yescharacteristic
250C2×#11719924C2311yescharacteristic
251C2×#11719922C2311yescharacteristic
252C2×#11719922C2311yescharacteristic
253C2×#11719922C2311yescharacteristic
254C2×#11719922C2311yescharacteristic
255C2×#11719917C2311yescharacteristic
256C2×#11719912C2311yescharacteristic
257C2×#11719912C2311yescharacteristic
258C22×#88322C2311yescharacteristic
259C2×C8×D53C2311yescharacteristic
260C2×C8×D53C2311yescharacteristic
261#13133214—21no—
262#13133214C2311yescharacteristic
263#13133213—21no—
264#13133213—21no—
265#13133213—21no—
266#13133213—21no—
267#13133213—21no—
268#13133213—21no—
269#13133213—21no—
270#13133213—21no—
271#13133213C2311yescharacteristic
272#13133213C2311yescharacteristic
273#13133212—21no—
274#13133210—21no—
275#13133210—21no—
276#13133210—21no—
277#13133210—21no—
278#13133210—21no—
279#13133209C2311yescharacteristic
280#13133208—21no—
281#13133208C2311yescharacteristic
282#13133207—21no—
283#13133204—21no—
284#13133204C2311yescharacteristic
285#13133203—21no—
286#13133201—21no—
287#13133200—21no—
288#13133199—21no—
289#13133199—21no—
290#13133199—21no—
291#13133198—21no—
292#13133198—21no—
293#13133198—21no—
294#13133198—21no—
295#13133197C2311yescharacteristic
296#13133196—21no—
297#13133196C2311yescharacteristic
298#13133196C2311yescharacteristic
299#13133195—21no—
300#13133194—21no—
301#13133194—21no—
302#13133193C2311yescharacteristic
303#13133193C2311yescharacteristic
304#13133192—21no—
305#13133192—21no—
306#13133192C2311yescharacteristic
307#13133192C2311yescharacteristic
308#13133191—21no—
309#13133191—21no—
310#13133191C2311yescharacteristic
311#13133191C2311yescharacteristic
312#13133190—21no—
313#13133190—21no—
314#13133190—21no—
315#13133190—21no—
316#13133190—21no—
317#13133190—21no—
318#13133190—21no—
319#13133190—21no—
320#13133189—21no—
321#13133189—21no—
322#13133189—21no—
323#13133189—21no—
324#13133189—21no—
325#13133189—21no—
326#13133189—21no—
327#13133188—21no—
328#13133188—21no—
329#13133188—21no—
330#13133188—21no—
331#13133188—21no—
332#13133188—21no—
333#13133188C2311yescharacteristic
334#13133188C2311yescharacteristic
335#13133188C2311yescharacteristic
336#13133188C2311yescharacteristic
337#13133188C2311yescharacteristic
338#13133188C2311yescharacteristic
339#13133188C2311yescharacteristic
340#13133186—21no—
341#13133185—21no—
342#13133185—21no—
343Q8×Dic53C2311yescharacteristic
344Q8×Dic53C2311yescharacteristic
345C4×Dic106—21no—
346C4×Dic106C2311yescharacteristic
347C4×Dic106C2311yescharacteristic
348#13133182—21no—
349#13133182C2311yescharacteristic
350C4×D212—21no—
351C4×D212C2311yescharacteristic
352D4×Dic53—21no—
353D4×Dic53—21no—
354D4×Dic53D411yescharacteristic
355D4×Dic53C2311yescharacteristic
356#13133179—21no—
357#13133179D411yescharacteristic
358C4×C22⋊D53—21no—
359C4×C22⋊D53—21no—
360C4×C22⋊D53—21no—
361C4×C22⋊D53—21no—
362C4×C22⋊D53—21no—
363C4×C22⋊D53—21no—
364C4×C22⋊D53—21no—
365C4×C22⋊D53C2311yescharacteristic
366C4×C22⋊D53C2311yescharacteristic
367#13133177—21no—
368#13133177—21no—
369#13133177—21no—
370#13133177—21no—
371#13133177—21no—
372#13133177—21no—
373#13133177D411yescharacteristic
374#13133177D411yescharacteristic
375#13133176—21no—
376#13133176C2311yescharacteristic
377#13133175C2311yescharacteristic
378#13133173—21no—
379#13133173—21no—
380#13133173—21no—
381C2×C4⋊Dic53C2311yescharacteristic
382C4⋊C4×D53—21no—
383C4⋊C4×D53—21no—
384C4⋊C4×D53D411yescharacteristic
385C4⋊C4×D53C2311yescharacteristic
386C4⋊C4×D53C2311yescharacteristic
387C2×C22⋊Dic53—21no—
388C2×C22⋊Dic53—21no—
389C22⋊C4×D53—21no—
390C22⋊C4×D53—21no—
391C22⋊C4×D53—21no—
392C22⋊C4×D53D411yescharacteristic
393C22⋊C4×D53D411yescharacteristic
394C42×D53—21no—
395C42×D53C2311yescharacteristic
396#13133151C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133149C2311yescharacteristic
400#13133149C2311yescharacteristic
401#13133148C2311yescharacteristic
402#13133148C2311yescharacteristic
403C4⋊#88322C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133138C2311yescharacteristic
430#13133137C2311yescharacteristic
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
444#13133127C2311yescharacteristic
445C2×#41×C53C2311yescharacteristic
446C2×#41×C53C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C22×D4×C53C2311yescharacteristic
449AGL(1,ℤ/8)×C53—42no—
450#135×C53—42no—
451C2×Q16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×SD16×C53C2311yescharacteristic
454C2×SD16×C53C2311yescharacteristic
455C2×SD16×C53C2311yescharacteristic
456C2×D8×C53C2311yescharacteristic
457C2×D8×C53C2311yescharacteristic
458C2×D8×C53C2311yescharacteristic
459C2×D8×C53C2311yescharacteristic
460C2×M16×C53C2311yescharacteristic
461C22×C8×C53C2311yescharacteristic
462#127×C53—21no—
463#127×C53C2311yescharacteristic
464#124×C53C2311yescharacteristic
465#123×C53—21no—
466C22⋊Q8×C53C2311yescharacteristic
467#121×C53—21no—
468#121×C53—21no—
469#121×C53—21no—
470#121×C53C2311yescharacteristic
471#121×C53C2311yescharacteristic
472#121×C53C2311yescharacteristic
473#120×C53—21no—
474C4×Q8×C53C2311yescharacteristic
475C4×D4×C53—21no—
476C4×D4×C53C2311yescharacteristic
477C4×D4×C53C2311yescharacteristic
478C2×C22⋊C4×C53—21no—
479#107×C53C2311yescharacteristic
480C4⋊C8×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#103×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486#102×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489#97×C53C2311yescharacteristic
490C24×C53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53C2×D411yescharacteristic
494C23×D53C2×D411yescharacteristic
495#41×C53—22no—
496#41×C53—22no—
497#41×C53—41no—
498#41×C53—41no—
499#41×C53—41no—
500#41×C53—41no—
501C2×Q8×C53C2411yescharacteristic
502C2×Q8×C53C2411yescharacteristic
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—21no—
512C2×D4×C53—41no—
513C2×D4×C53—41no—
514C2×D4×C53C2×D411yescharacteristic
515C2×D4×C53C2411yescharacteristic
516C2×D4×C53C2411yescharacteristic
517C2×D4×C53C2411yescharacteristic
518C2×D4×C53C2411yescharacteristic
519C22×C4×C53—21no—
520C22×C4×C53—21no—
521C22×C4×C53—21no—
522C22×C4×C53—21no—
523C22×C4×C53C2411yescharacteristic
524C22×C4×C53C2411yescharacteristic
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—21no—
529C2×C22⋊D53—21no—
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—44no—
546C2×C22⋊D53C2×D411yescharacteristic
547C2×C22⋊D53C2×D411yescharacteristic
548C22×Dic53—21no—
549C22×Dic53—21no—
550C22×Dic53—21no—
551C22×Dic53—21no—
552C22×Dic53—21no—
553C22×Dic53C2×D411yescharacteristic
554C22×Dic53C2×D411yescharacteristic
555#11719949—22no—
556#11719949—22no—
557#11719949—41no—
558#11719949—41no—
559Q8×D53—22no—
560Q8×D53—22no—
561Q8×D53—41no—
562Q8×D53—41no—
563#11719947—22no—
564#11719947—22no—
565#11719947—41no—
566#11719947—41no—
567#11719947—41no—
568#11719947—41no—
569#11719947—44no—
570#11719947—44no—
571D4×D53—41no—
572D4×D53—41no—
573D4×D53—41no—
574D4×D53—41no—
575D4×D53—42no—
576D4×D53—44no—
577D4×D53—44no—
578D4×D53—44no—
579D4×D53—82no—
580D4×D53—82no—
581D4×D53—82no—
582#11719945—22no—
583#11719945—22no—
584#11719945—41no—
585#11719945—41no—
586#11719945—44no—
587#11719945—44no—
588C2×D212—21no—
589C2×D212—21no—
590C2×D212—21no—
591C2×D212—21no—
592C2×D212—21no—
593C2×D212—21no—
594C2×D212C2×D411yescharacteristic
595C2×D212C2411yescharacteristic
596C2×D212C2411yescharacteristic
597C2×C4×D53—21no—
598C2×C4×D53—21no—
599C2×C4×D53—21no—
600C2×C4×D53—21no—
601C2×C4×D53—21no—
602C2×C4×D53—21no—
603C2×C4×D53—21no—
604C2×C4×D53—21no—
605C2×C4×D53—41no—
606C2×C4×D53—41no—
607C2×C4×D53—41no—
608C2×C4×D53—41no—
609C2×C4×D53—44no—
610C2×C4×D53—44no—
611C2×C4×D53C2×D411yescharacteristic
612C2×C4×D53C2×D411yescharacteristic
613C2×C4×D53C2×D411yescharacteristic
614C2×C4×D53C2×D411yescharacteristic
615C2×C4×D53C2×D411yescharacteristic
616C2×C4×D53C2×D411yescharacteristic
617C2×C4×D53C2411yescharacteristic
618C2×C4×D53C2411yescharacteristic
619C2×C4×D53C2411yescharacteristic
620C2×Dic106—21no—
621C2×Dic106—21no—
622C2×Dic106C2411yescharacteristic
623C2×Dic106C2411yescharacteristic
624Q16×C53—22no—
625SD16×C53—22no—
626SD16×C53—22no—
627SD16×C53—41no—
628SD16×C53—41no—
629D8×C53—41no—
630D8×C53—41no—
631D8×C53—41no—
632D8×C53—41no—
633M16×C53—41no—
634C2×C8×C53—41no—
635C2×C8×C53C2411yescharacteristic
636C2×C8×C53C2411yescharacteristic
637C2×C8×C53C2411yescharacteristic
638C2×C8×C53C2411yescharacteristic
639C4⋊C4×C53—21no—
640C4⋊C4×C53—21no—
641C4⋊C4×C53C2×D411yescharacteristic
642C4⋊C4×C53C2411yescharacteristic
643C4⋊C4×C53C2411yescharacteristic
644C22⋊C4×C53—21no—
645C22⋊C4×C53—21no—
646C22⋊C4×C53—21no—
647C22⋊C4×C53—21no—
648C22⋊C4×C53—21no—
649C22⋊C4×C53—21no—
650C22⋊C4×C53—21no—
651C22⋊C4×C53C2×D411yescharacteristic
652C22⋊C4×C53C2×D411yescharacteristic
653C42×C53—21no—
654C42×C53C2411yescharacteristic
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⋊Dic53C2×D411yescharacteristic
669C22⋊Dic53C2×D411yescharacteristic
670#11719925—22no—
671#11719925—22no—
672#11719924—41no—
673#11719924—41no—
674#11719923—22no—
675#11719923—22no—
676#11719923—41no—
677#11719923—41no—
678#11719922—41no—
679#11719922—41no—
680#11719922—41no—
681#11719922—41no—
682#11719921—21no—
683#11719921—21no—
684#11719921—21no—
685#11719921—21no—
686#11719921—21no—
687#11719921—21no—
688#11719921—21no—
689#11719921—21no—
690#11719921C2×D411yescharacteristic
691#11719921C2×D411yescharacteristic
692#11719921C2×D411yescharacteristic
693#11719921C2×D411yescharacteristic
694C4⋊Dic53—21no—
695C4⋊Dic53—21no—
696C4⋊Dic53—21no—
697C4⋊Dic53—21no—
698C4⋊Dic53—21no—
699C4⋊Dic53C2×D411yescharacteristic
700C4⋊Dic53C2411yescharacteristic
701C4⋊Dic53C2411yescharacteristic
702C4⋊Dic53C2411yescharacteristic
703C4⋊Dic53C2411yescharacteristic
704#11719919—21no—
705#11719919—21no—
706#11719919—21no—
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#11719919C2×D411yescharacteristic
717#11719919C2×D411yescharacteristic
718C4×Dic53—21no—
719C4×Dic53—21no—
720C4×Dic53—21no—
721C4×Dic53—21no—
722C4×Dic53—21no—
723C4×Dic53—21no—
724C4×Dic53—21no—
725C4×Dic53C2×D411yescharacteristic
726C4×Dic53C2×D411yescharacteristic
727C4×Dic53C2411yescharacteristic
728#11719917—41no—
729C2×#88322—41no—
730C2×#88322C2411yescharacteristic
731C2×#88322C2411yescharacteristic
732C2×#88322C2411yescharacteristic
733C2×#88322C2411yescharacteristic
734Dic212—22no—
735#11719913—41no—
736#11719913—41no—
737#11719912—41no—
738#11719912—41no—
739C8×D53—41no—
740C8×D53—41no—
741C23×C53—21no—
742C23×C53—21no—
743C23×C53—21no—
744C23×C53—21no—
745C23×C53—42no—
746C23×C53—81no—
747C23×C53—81no—
748C23×C53C22×D411yescharacteristic
749C23×C53C22×D411yescharacteristic
750C22×D53—22no—
751C22×D53—22no—
752C22×D53—21no—
753C22×D53—21no—
754C22×D53—41no—
755C22×D53—41no—
756C22×D53—41no—
757C22×D53—41no—
758C22×D53—42no—
759C22×D53—42no—
760C22×D53—42no—
761C22×D53—42no—
762C22×D53—42no—
763C22×D53—42no—
764C22×D53C22×D411yescharacteristic
765C22×D53C22×D411yescharacteristic
766C22×D53C22×D411yescharacteristic
767Q8×C53—21no—
768Q8×C53—21no—
769Q8×C53—21no—
770Q8×C53H(5,𝔽2)12yes—
771D4×C53—21no—
772D4×C53—21no—
773D4×C53—21no—
774D4×C53—21no—
775D4×C53—21no—
776D4×C53—21no—
777D4×C53—21no—
778D4×C53—21no—
779D4×C53—41no—
780D4×C53—42no—
781D4×C53—42no—
782D4×C53—42no—
783D4×C53—81no—
784D4×C53—81no—
785D4×C53—81no—
786D4×C53—81no—
787D4×C53—81no—
788D4×C53—81no—
789C2×C4×C53—21no—
790C2×C4×C53—21no—
791C2×C4×C53—21no—
792C2×C4×C53—21no—
793C2×C4×C53—21no—
794C2×C4×C53—21no—
795C2×C4×C53—21no—
796C2×C4×C53—21no—
797C2×C4×C53—42no—
798C2×C4×C53—42no—
799C2×C4×C53—81no—
800C2×C4×C53—81no—
801C2×C4×C53C22×D411yescharacteristic
802C2×C4×C53C22×D411yescharacteristic
803C2×C4×C53C22×D411yescharacteristic
804C2×C4×C53C22×D411yescharacteristic
805C2×C4×C53C2511yescharacteristic
806C22⋊D53—41no—
807C22⋊D53—41no—
808C22⋊D53—42no—
809C22⋊D53—42no—
810C22⋊D53—42no—
811C22⋊D53—42no—
812C22⋊D53—42no—
813C22⋊D53—42no—
814C22⋊D53—42no—
815C22⋊D53—42no—
816C22⋊D53—42no—
817C22⋊D53—42no—
818C22⋊D53—42no—
819C22⋊D53—42no—
820C22⋊D53—81no—
821C22⋊D53—81no—
822C22⋊D53—81no—
823C22⋊D53—81no—
824C22⋊D53—81no—
825C22⋊D53—81no—
826C22⋊D53—81no—
827C22⋊D53—81no—
828C2×Dic53—21no—
829C2×Dic53—21no—
830C2×Dic53—21no—
831C2×Dic53—21no—
832C2×Dic53—21no—
833C2×Dic53—21no—
834C2×Dic53—41no—
835C2×Dic53—41no—
836C2×Dic53—42no—
837C2×Dic53—42no—
838C2×Dic53—42no—
839C2×Dic53—81no—
840C2×Dic53—81no—
841C2×Dic53C22×D411yescharacteristic
842C2×Dic53C22×D411yescharacteristic
843C2×Dic53C22×D411yescharacteristic
844C2×Dic53C22×D411yescharacteristic
845C2×Dic53C22×D411yescharacteristic
846D212—21no—
847D212—21no—
848D212—21no—
849D212—21no—
850D212—41no—
851D212—42no—
852D212—42no—
853D212—42no—
854D212—81no—
855D212—81no—
856D212—81no—
857C4×D53—24no—
858C4×D53—22no—
859C4×D53—21no—
860C4×D53—21no—
861C4×D53—21no—
862C4×D53—21no—
863C4×D53—21no—
864C4×D53—21no—
865C4×D53—41no—
866C4×D53—41no—
867C4×D53—41no—
868C4×D53—41no—
869C4×D53—41no—
870C4×D53—42no—
871C4×D53—42no—
872C4×D53—42no—
873C4×D53—42no—
874C4×D53—42no—
875C4×D53—81no—
876C4×D53—81no—
877Dic106—24no—
878Dic106—21no—
879Dic106—21no—
880Dic106—21no—
881Dic106—81no—
882Dic106H(5,𝔽2)12yes—
883C8×C53—21no—
884C8×C53—21no—
885C8×C53—21no—
886C8×C53—21no—
887#88322—21no—
888#88322—21no—
889#88322—21no—
890#88322—21no—
891#61577—531nomaximal, Sylow
892C22×C53—21no—
893C22×C53—21no—
894C22×C53—21no—
895C22×C53—21no—
896C22×C53—21no—
897C22×C53—21no—
898C22×C53—41no—
899C22×C53—41no—
900C22×C53—41no—
901C22×C53—41no—
902C22×C53—41no—
903C22×C53—41no—
904C22×C53—41no—
905C22×C53—41no—
906C22×C53—41no—
907C22×C53—41no—
908C22×C53—41no—
909C22×C53—41no—
910C22×C53—162no—
911C22×C53C23×D411yescharacteristic
912C2×D53—21no—
913C2×D53—21no—
914C2×D53—21no—
915C2×D53—21no—
916C2×D53—21no—
917C2×D53—21no—
918C2×D53—21no—
919C2×D53—21no—
920C2×D53—41no—
921C2×D53—41no—
922C2×D53—41no—
923C2×D53—41no—
924C2×D53—41no—
925C2×D53—41no—
926C2×D53—82no—
927C2×D53—82no—
928C2×D53—84no—
929C2×D53—84no—
930C2×D53#57512yes—
931C4×C53—21no—
932C4×C53—22no—
933C4×C53—21no—
934C4×C53—21no—
935C4×C53—21no—
936C4×C53—41no—
937C4×C53—41no—
938C4×C53—41no—
939C4×C53C2×H(5,𝔽2)11yescharacteristic
940C4×C53C2×H(5,𝔽2)11yescharacteristic
941Dic53—21no—
942Dic53—21no—
943Dic53—22no—
944Dic53—21no—
945Dic53—21no—
946Dic53—21no—
947Dic53—41no—
948Dic53—41no—
949Dic53—41no—
950Dic53—41no—
951Dic53—41no—
952#3505—531no—
953C2×#550—531no—
954#3317—531no—
955#3317—531no—
956#3317—531no—
957#3317—531no—
958#3309—531no—
959#3309—531no—
960#3309—531no—
961#3309—531no—
962#3271—531no—
963#3271—531no—
964#3271—531no—
965#3271—531no—
966#3268—531no—
967#3268—531no—
968#3268—531no—
969#3268D5311yescharacteristic, complemented
970#3217—531no—
971#3217—531no—
972#3193—531no—
973#3192—531no—
974#3188—531no—
975#3188—531no—
976#3117—531no—
977#3117—531no—
978#3007—531no—
979#3006—531no—
980#3002—531no—
981#3002—531no—
982#2973—531no—
983C2×C53—41no—
984C2×C53—41no—
985C2×C53—81no—
986C2×C53—81no—
987C2×C53—81no—
988C2×C53—81no—
989C2×C53#348411yescharacteristic
990C2×C53C2×#57511yescharacteristic
991C2×C53#358511yescharacteristic
992D53—22no—
993D53—41no—
994D53—41no—
995D53—81no—
996D53—81no—
997C22×#41—531no—
998C22×#41—531no—
999C2×#137—531no—
1000C2×#137—531no—
1001C2×AGL(1,ℤ/8)—531no—
1002C2×AGL(1,ℤ/8)C2×D5311yescharacteristic, complemented
1003C2×#135—531no—
1004C2×#135—531no—
1005C2×#135—531no—
1006C2×#135C2×D5311yescharacteristic, complemented
1007#553—531no—
1008#553—531no—
1009#553—1061no—
1010#553—1061no—
1011#552—531no—
1012#552—531no—
1013#551—1061no—
1014#551—1061no—
1015#550—531no—
1016#550—531no—
1017#550—531no—
1018#550—531no—
1019#550—531no—
1020#550—531no—
1021#550—531no—
1022#550—1061no—
1023#550—1061no—
1024#550—1061no—
1025#550—1061no—
1026#550C2×D5311yescharacteristic
1027#548—531no—
1028#548—531no—
1029#546—531no—
1030#546C2×D5311yescharacteristic, complemented
1031#539—1061no—
1032#538—1061no—
1033#534—1061no—
1034C2×#127—531no—
1035C2×#127—1061no—
1036#529—531no—
1037#529—531no—
1038#525—531no—
1039#525—531no—
1040C2×C22⋊Q8—531no—
1041C2×#121—531no—
1042C2×#121—531no—
1043C2×#121—531no—
1044C2×#121—1061no—
1045C2×#121—1061no—
1046#518—1061no—
1047C2×C4×Q8—531no—
1048C2×C4×D4—531no—
1049C2×C4×D4—1061no—
1050#496—531no—
1051#496—531no—
1052#496—531no—
1053#496C2×D5311yescharacteristic, complemented
1054#490—531no—
1055#490—531no—
1056#490—531no—
1057#490—531no—
1058#484—531no—
1059#484—531no—
1060#482—531no—
1061#482—531no—
1062#482—531no—
1063#482—531no—
1064#481—531no—
1065#481—531no—
1066#481—531no—
1067#481—531no—
1068#480—531no—
1069#480—531no—
1070#479—531no—
1071#479—531no—
1072#479—531no—
1073#479—531no—
1074#469—531no—
1075#469—531no—
1076#469—531no—
1077#469—531no—
1078#468—531no—
1079#468—531no—
1080#468—531no—
1081#468C2×D5311yescharacteristic, complemented
1082#466—531no—
1083#466—531no—
1084#466—531no—
1085#466C2×D5311yescharacteristic, complemented
1086#465—531no—
1087#465—531no—
1088#465—531no—
1089#465—531no—
1090#464—531no—
1091#464—531no—
1092#464—531no—
1093#464C2×D5311yescharacteristic, complemented
1094#460—531no—
1095#460—531no—
1096#460—531no—
1097#460—531no—
1098#459—531no—
1099#459—531no—
1100#459—531no—
1101#459C2×D5311yescharacteristic, complemented
1102#452—531no—
1103#452—531no—
1104#452—531no—
1105#452—531no—
1106#452—531no—
1107#452—531no—
1108#452—531no—
1109#452C2×D5311yescharacteristic, complemented
1110#451—531no—
1111#451—531no—
1112#450—531no—
1113#450—531no—
1114#450—531no—
1115#450—531no—
1116#449—531no—
1117#449—531no—
1118#449—531no—
1119#449—531no—
1120#449—531no—
1121#449—531no—
1122#449—531no—
1123#449—531no—
1124#449—531no—
1125#449—531no—
1126#449C2×D5311yescharacteristic, complemented
1127#449C2×D5311yescharacteristic, complemented
1128#448—531no—
1129#448—531no—
1130#448—531no—
1131#448—531no—
1132#447—531no—
1133#447—531no—
1134#447—531no—
1135#447—531no—
1136#447—531no—
1137#447C2×D5311yescharacteristic, complemented
1138#441—531no—
1139#441—531no—
1140#441—531no—
1141#441—531no—
1142#440—531no—
1143#440—531no—
1144#440—531no—
1145#440C2×D5311yescharacteristic, complemented
1146#435—531no—
1147#435—531no—
1148#435—531no—
1149#435—531no—
1150#435—531no—
1151#435—531no—
1152#435—531no—
1153#435C2×D5311yescharacteristic, complemented
1154#432—531no—
1155#432—531no—
1156#417—531no—
1157#417—531no—
1158#417—531no—
1159#417—531no—
1160#416—531no—
1161#416—531no—
1162#416—531no—
1163#416—531no—
1164#407—531no—
1165#407—531no—
1166C2×C22⋊C8—531no—
1167C2×C22⋊C8—531no—
1168C53#6157711yescharacteristic, complemented, Sylow
1169C2×#41—531no—
1170C2×#41—531no—
1171C2×#41—531no—
1172C2×#41—531no—
1173C2×#41—531no—
1174C2×#41—531no—
1175C2×#41—531no—
1176C2×#41—1061no—
1177C2×#41—1061no—
1178C2×#41—1061no—
1179C2×#41—1061no—
1180C2×#41—2122no—
1181C2×#41—2122no—
1182C2×#41—2122no—
1183C2×#41—2122no—
1184C2×#41C22×D5311yescharacteristic
1185C2×#41C22×D5311yescharacteristic
1186C2×#41C22×D5311yescharacteristic
1187C22×Q8—531no—
1188C22×Q8—531no—
1189C22×D4—531no—
1190C22×D4—531no—
1191C22×D4—531no—
1192C22×D4—1061no—
1193C22×D4—1061no—
1194C22×D4—1061no—
1195C22×D4—1061no—
1196C22×D4—1061no—
1197C22×D4—1061no—
1198C22×D4—1061no—
1199C22×D4C22×D5311yescharacteristic
1200C23×C4—531no—
1201C23×C4—531no—
1202C23×C4—1061no—
1203C23×C4—1061no—
1204#137—2122no—
1205#137—2122no—
1206AGL(1,ℤ/8)—42no—
1207AGL(1,ℤ/8)—2122no—
1208#135—42no—
1209#135—2122no—
1210#135—2122no—
1211#135—2122no—
1212C2×Q16—531no—
1213C2×Q16—531no—
1214C2×Q16—531no—
1215C2×Q16C22×D5311yescharacteristic
1216C2×SD16—531no—
1217C2×SD16—531no—
1218C2×SD16—531no—
1219C2×SD16—531no—
1220C2×SD16—531no—
1221C2×SD16—531no—
1222C2×SD16—531no—
1223C2×SD16—531no—
1224C2×SD16C22×D5311yescharacteristic
1225C2×SD16C22×D5311yescharacteristic
1226C2×SD16C22×D5311yescharacteristic
1227C2×SD16C22×D5311yescharacteristic
1228C2×D8—531no—
1229C2×D8—531no—
1230C2×D8—531no—
1231C2×D8—531no—
1232C2×D8C22×D5311yescharacteristic
1233C2×D8C22×D5311yescharacteristic
1234C2×D8C22×D5311yescharacteristic
1235C2×D8C22×D5311yescharacteristic
1236C2×M16—531no—
1237C2×M16—531no—
1238C2×M16—531no—
1239C2×M16C22×D5311yescharacteristic
1240C22×C8—531no—
1241C22×C8—531no—
1242C22×C8—531no—
1243C22×C8C22×D5311yescharacteristic
1244#127—21no—
1245#127—531no—
1246#127—531no—
1247#127—531no—
1248#127—1061no—
1249#127—1061no—
1250#127—1061no—
1251#127—1061no—
1252#127—1061no—
1253#127—1061no—
1254#127—1061no—
1255#127—1061no—
1256#127—1061no—
1257#127C22×D5311yescharacteristic
1258#126—1061no—
1259#126—1061no—
1260#126—1061no—
1261#126—1061no—
1262#126—1061no—
1263#126—1061no—
1264#125—531no—
1265#125—531no—
1266#125—1061no—
1267#125—1061no—
1268#124—531no—
1269#124—1061no—
1270#124—1061no—
1271#124C22×D5311yescharacteristic
1272#123—21no—
1273#123—1061no—
1274#123—1061no—
1275#123—1061no—
1276#123—1061no—
1277#123—1061no—
1278#123—1061no—
1279#123—1061no—
1280#123—1061no—
1281#123—1061no—
1282C22⋊Q8—531no—
1283C22⋊Q8—531no—
1284C22⋊Q8—531no—
1285C22⋊Q8—531no—
1286C22⋊Q8—531no—
1287C22⋊Q8—1061no—
1288C22⋊Q8—1061no—
1289C22⋊Q8—1061no—
1290C22⋊Q8—1061no—
1291C22⋊Q8C22×D5311yescharacteristic
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—531no—
1296#121—531no—
1297#121—531no—
1298#121—531no—
1299#121—531no—
1300#121—531no—
1301#121—531no—
1302#121—531no—
1303#121—531no—
1304#121—531no—
1305#121—531no—
1306#121—1061no—
1307#121—1061no—
1308#121—1061no—
1309#121—1061no—
1310#121—1061no—
1311#121—1061no—
1312#121—1061no—
1313#121—1061no—
1314#121—1061no—
1315#121—1061no—
1316#121—1061no—
1317#121—1061no—
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#121C22×D5311yescharacteristic
1332#121C22×D5311yescharacteristic
1333#121C22×D5311yescharacteristic
1334#120—21no—
1335#120—1061no—
1336#120—1061no—
1337#120—1061no—
1338C4×Q8—531no—
1339C4×Q8—531no—
1340C4×Q8—531no—
1341C4×Q8—531no—
1342C4×Q8—531no—
1343C4×Q8—1061no—
1344C4×Q8—1061no—
1345C4×Q8C22×D5311yescharacteristic
1346C4×D4—21no—
1347C4×D4—531no—
1348C4×D4—531no—
1349C4×D4—531no—
1350C4×D4—531no—
1351C4×D4—531no—
1352C4×D4—531no—
1353C4×D4—531no—
1354C4×D4—531no—
1355C4×D4—1061no—
1356C4×D4—1061no—
1357C4×D4—1061no—
1358C4×D4—1061no—
1359C4×D4—1061no—
1360C4×D4—1061no—
1361C4×D4—1061no—
1362C4×D4—1061no—
1363C4×D4—1061no—
1364C4×D4—1061no—
1365C4×D4—1061no—
1366C4×D4—1061no—
1367C4×D4—1061no—
1368C4×D4—1061no—
1369C4×D4—1061no—
1370C4×D4—1061no—
1371C4×D4—1061no—
1372C4×D4C22×D5311yescharacteristic
1373C4×D4C22×D5311yescharacteristic
1374#117—531no—
1375#117—531no—
1376#117—1061no—
1377#117—1061no—
1378#117—1061no—
1379#117—1061no—
1380C2×C4⋊C4—531no—
1381C2×C4⋊C4—531no—
1382C2×C4⋊C4—531no—
1383C2×C4⋊C4—531no—
1384C2×C4⋊C4—1061no—
1385C2×C4⋊C4—1061no—
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—531no—
1388C2×C22⋊C4—531no—
1389C2×C22⋊C4—1061no—
1390C2×C22⋊C4—1061no—
1391C2×C22⋊C4—1061no—
1392C2×C22⋊C4—1061no—
1393C2×C22⋊C4—1061no—
1394C2×C42—531no—
1395C2×C42—1061no—
1396#107—531no—
1397#107—531no—
1398#107—531no—
1399#107C22×D5311yescharacteristic
1400#106—531no—
1401#106—531no—
1402#106—531no—
1403#106—531no—
1404C4⋊C8—531no—
1405C4⋊C8—531no—
1406C4⋊C8—531no—
1407C4⋊C8C22×D5311yescharacteristic
1408#103—531no—
1409#103—531no—
1410#103—531no—
1411#103—531no—
1412#103—531no—
1413#103—531no—
1414#103—531no—
1415#103—531no—
1416#103—531no—
1417#103—531no—
1418#103C22×D5311yescharacteristic
1419#103C22×D5311yescharacteristic
1420#102—531no—
1421#102—531no—
1422#102—531no—
1423#102—531no—
1424#102—531no—
1425#102—531no—
1426#102—531no—
1427#102—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#102C22×D5311yescharacteristic
1437#102C22×D5311yescharacteristic
1438#102C22×D5311yescharacteristic
1439#102C22×D5311yescharacteristic
1440C22⋊C8—531no—
1441C22⋊C8—531no—
1442C22⋊C8—531no—
1443C22⋊C8—531no—
1444C22⋊C8—531no—
1445C22⋊C8—531no—
1446C22⋊C8—531no—
1447C22⋊C8—531no—
1448C22⋊C8—531no—
1449C22⋊C8—531no—
1450C22⋊C8C22×D5311yescharacteristic
1451C22⋊C8C22×D5311yescharacteristic
1452#97—531no—
1453#97—531no—
1454#97—531no—
1455#97C22×D5311yescharacteristic
1456C24—21no—
1457C24—531no—
1458C24—531no—
1459C24—1061no—
1460C24—1061no—
1461#41—22no—
1462#41—22no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—1062no—
1468#41—1062no—
1469#41—1062no—
1470#41—1062no—
1471#41—1062no—
1472#41—1062no—
1473#41—2121no—
1474#41—2121no—
1475#41—2124no—
1476#41—2124no—
1477#41—2121no—
1478#41—2121no—
1479#41—2121no—
1480#41—2121no—
1481#41—2121no—
1482#41—2121no—
1483#41—2124no—
1484#41—2124no—
1485C2×Q8—531no—
1486C2×Q8—531no—
1487C2×Q8—1061no—
1488C2×Q8—1061no—
1489C2×Q8—1062no—
1490C2×Q8—1062no—
1491C2×Q8—2121no—
1492C2×Q8—2121no—
1493C2×Q8C23×D5311yescharacteristic
1494C2×Q8C23×D5311yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—531no—
1507C2×D4—531no—
1508C2×D4—531no—
1509C2×D4—531no—
1510C2×D4—531no—
1511C2×D4—1061no—
1512C2×D4—1061no—
1513C2×D4—1061no—
1514C2×D4—1061no—
1515C2×D4—1061no—
1516C2×D4—1061no—
1517C2×D4—1061no—
1518C2×D4—1061no—
1519C2×D4—1061no—
1520C2×D4—1061no—
1521C2×D4—1061no—
1522C2×D4—1061no—
1523C2×D4—1061no—
1524C2×D4—1061no—
1525C2×D4—1061no—
1526C2×D4—1061no—
1527C2×D4—1061no—
1528C2×D4—1061no—
1529C2×D4—1061no—
1530C2×D4—1061no—
1531C2×D4—1061no—
1532C2×D4—1061no—
1533C2×D4—1061no—
1534C2×D4—1061no—
1535C2×D4—1061no—
1536C2×D4—1061no—
1537C2×D4—4242no—
1538C2×D4—4242no—
1539C2×D4—4242no—
1540C2×D4—2121no—
1541C2×D4—2121no—
1542C2×D4—2121no—
1543C2×D4—2121no—
1544C2×D4—2122no—
1545C2×D4—2124no—
1546C2×D4—2124no—
1547C2×D4—2124no—
1548C2×D4—2124no—
1549C2×D4D4×D5311yescharacteristic
1550C2×D4C23×D5311yescharacteristic
1551C2×D4C23×D5311yescharacteristic
1552C2×D4C23×D5311yescharacteristic
1553C2×D4C23×D5311yescharacteristic
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—531no—
1559C22×C4—531no—
1560C22×C4—531no—
1561C22×C4—531no—
1562C22×C4—531no—
1563C22×C4—531no—
1564C22×C4—531no—
1565C22×C4—531no—
1566C22×C4—531no—
1567C22×C4—531no—
1568C22×C4—531no—
1569C22×C4—1061no—
1570C22×C4—1061no—
1571C22×C4—1061no—
1572C22×C4—1061no—
1573C22×C4—1061no—
1574C22×C4—1061no—
1575C22×C4—1061no—
1576C22×C4—1061no—
1577C22×C4—1061no—
1578C22×C4—1061no—
1579C22×C4—1061no—
1580C22×C4—1061no—
1581C22×C4—1061no—
1582C22×C4—2121no—
1583C22×C4—2121no—
1584C22×C4—2121no—
1585C22×C4—2121no—
1586C22×C4—2124no—
1587C22×C4—2124no—
1588C22×C4C23×D5311yescharacteristic
1589C22×C4C23×D5311yescharacteristic
1590Q16—22no—
1591Q16—1062no—
1592Q16—1062no—
1593Q16—1062no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—1062no—
1599SD16—1062no—
1600SD16—2121no—
1601SD16—2121no—
1602SD16—2121no—
1603SD16—2121no—
1604SD16—2121no—
1605SD16—2121no—
1606D8—41no—
1607D8—41no—
1608D8—41no—
1609D8—41no—
1610D8—2121no—
1611D8—2121no—
1612D8—2121no—
1613D8—2121no—
1614M16—41no—
1615M16—2121no—
1616M16—2121no—
1617M16—2121no—
1618C2×C8—41no—
1619C2×C8—531no—
1620C2×C8—531no—
1621C2×C8—531no—
1622C2×C8—531no—
1623C2×C8—2121no—
1624C2×C8—2121no—
1625C2×C8—2121no—
1626C2×C8C23×D5311yescharacteristic
1627C2×C8C23×D5311yescharacteristic
1628C2×C8C23×D5311yescharacteristic
1629C2×C8C23×D5311yescharacteristic
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—531no—
1633C4⋊C4—531no—
1634C4⋊C4—531no—
1635C4⋊C4—531no—
1636C4⋊C4—531no—
1637C4⋊C4—531no—
1638C4⋊C4—531no—
1639C4⋊C4—1061no—
1640C4⋊C4—1061no—
1641C4⋊C4—1061no—
1642C4⋊C4—1061no—
1643C4⋊C4—1061no—
1644C4⋊C4—1061no—
1645C4⋊C4—1061no—
1646C4⋊C4—1061no—
1647C4⋊C4—1061no—
1648C4⋊C4—1061no—
1649C4⋊C4—1061no—
1650C4⋊C4—1061no—
1651C4⋊C4—1061no—
1652C4⋊C4—1061no—
1653C4⋊C4—1061no—
1654C4⋊C4—1061no—
1655C4⋊C4—1061no—
1656C4⋊C4D4×D5311yescharacteristic
1657C4⋊C4C23×D5311yescharacteristic
1658C4⋊C4C23×D5311yescharacteristic
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—531no—
1667C22⋊C4—531no—
1668C22⋊C4—531no—
1669C22⋊C4—531no—
1670C22⋊C4—531no—
1671C22⋊C4—531no—
1672C22⋊C4—1061no—
1673C22⋊C4—1061no—
1674C22⋊C4—1061no—
1675C22⋊C4—1061no—
1676C22⋊C4—1061no—
1677C22⋊C4—1061no—
1678C22⋊C4—1061no—
1679C22⋊C4—1061no—
1680C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1694C22⋊C4D4×D5311yescharacteristic
1695C42—21no—
1696C42—531no—
1697C42—531no—
1698C42—531no—
1699C42—1061no—
1700C42—1061no—
1701C42—1061no—
1702C42—1061no—
1703C42—1061no—
1704C42—1061no—
1705C42—1061no—
1706C42C23×D5311yescharacteristic
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—42no—
1712C23—81no—
1713C23—81no—
1714C23—531no—
1715C23—531no—
1716C23—531no—
1717C23—1062no—
1718C23—1062no—
1719C23—1061no—
1720C23—1061no—
1721C23—2121no—
1722C23—2121no—
1723C23—2121no—
1724C23—2121no—
1725C23—2122no—
1726C23—2122no—
1727C23—2122no—
1728C23—2122no—
1729C23—2122no—
1730C23—2122no—
1731C23C2×D4×D5311yescharacteristic
1732C23C2×D4×D5311yescharacteristic
1733Q8—21no—
1734Q8—21no—
1735Q8—21no—
1736Q8—532no—
1737Q8—1064no—
1738Q8—1061no—
1739Q8—1061no—
1740Q8—1061no—
1741Q8—4241no—
1742Q8#1313326212yes—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—41no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—1061no—
1762D4—1061no—
1763D4—1061no—
1764D4—1061no—
1765D4—4241no—
1766D4—4241no—
1767D4—4241no—
1768D4—4241no—
1769D4—4241no—
1770D4—4241no—
1771D4—4241no—
1772D4—4241no—
1773D4—4241no—
1774D4—4241no—
1775D4—4241no—
1776D4—2121no—
1777D4—2122no—
1778D4—2122no—
1779D4—2122no—
1780D4—2121no—
1781D4—2121no—
1782D4—2122no—
1783D4—2122no—
1784D4—2122no—
1785D4—2122no—
1786D4—2122no—
1787D4—2122no—
1788D4—2122no—
1789D4—2122no—
1790D4—2122no—
1791D4—2122no—
1792D4—2122no—
1793D4—2122no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—42no—
1803C2×C4—42no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—531no—
1807C2×C4—531no—
1808C2×C4—531no—
1809C2×C4—531no—
1810C2×C4—531no—
1811C2×C4—1062no—
1812C2×C4—1064no—
1813C2×C4—1061no—
1814C2×C4—1061no—
1815C2×C4—1061no—
1816C2×C4—1061no—
1817C2×C4—1061no—
1818C2×C4—1061no—
1819C2×C4—1061no—
1820C2×C4—1061no—
1821C2×C4—1061no—
1822C2×C4—1061no—
1823C2×C4—1061no—
1824C2×C4—1061no—
1825C2×C4—4241no—
1826C2×C4—4241no—
1827C2×C4—4241no—
1828C2×C4—4241no—
1829C2×C4—2121no—
1830C2×C4—2121no—
1831C2×C4—2121no—
1832C2×C4—2121no—
1833C2×C4—2121no—
1834C2×C4—2122no—
1835C2×C4—2122no—
1836C2×C4—2122no—
1837C2×C4—2122no—
1838C2×C4—2122no—
1839C2×C4—2121no—
1840C2×C4—2121no—
1841C2×C4—2122no—
1842C2×C4—2122no—
1843C2×C4—2122no—
1844C2×C4C2×D4×D5311yescharacteristic
1845C2×C4C2×D4×D5311yescharacteristic
1846C2×C4C2×D4×D5311yescharacteristic
1847C2×C4C2×D4×D5311yescharacteristic
1848C2×C4C24×D5311yescharacteristic
1849C8—21no—
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—1061no—
1854C8—1061no—
1855C8—1061no—
1856C8—1061no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—162no—
1876C22—532no—
1877C22—1061no—
1878C22—1061no—
1879C22—1061no—
1880C22—1061no—
1881C22—1061no—
1882C22—1061no—
1883C22—1061no—
1884C22—1061no—
1885C22—4242no—
1886C22—4242no—
1887C22—4244no—
1888C22—4244no—
1889C22—2121no—
1890C22—2121no—
1891C22—2121no—
1892C22—2121no—
1893C22—2121no—
1894C22—2121no—
1895C22C22×D4×D5311yescharacteristic
1896C4—21no—
1897C4—21no—
1898C4—22no—
1899C4—21no—
1900C4—21no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—1061no—
1905C4—1061no—
1906C4—1061no—
1907C4—1062no—
1908C4—1061no—
1909C4—1061no—
1910C4—2121no—
1911C4—2121no—
1912C4—2121no—
1913C4—2121no—
1914C4—2121no—
1915C4H(5,𝔽2)×D5311yescharacteristic
1916C4C2×#1313326211yescharacteristic
1917C2—41no—
1918C2—41no—
1919C2—81no—
1920C2—81no—
1921C2—81no—
1922C2—81no—
1923C2—1062no—
1924C2—4241no—
1925C2—4241no—
1926C2—2121no—
1927C2—2121no—
1928C2#2028834311yescharacteristic
1929C2#575×D5311yescharacteristic
1930C2#2028949011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3268C2
socleC22×C53C23×D4
hypercenter#3268D53
hypocenterC53#61577
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #20288542C2semidirect
2. #550×D53C2semidirect
3. #20286843C2semidirect
4. #20286841C2semidirect
5. #20286836C2semidirect
6. #20286834C2semidirect
7. #20286728C2semidirect
8. #20286727C2semidirect
9. #20286726C2semidirect
10. #20286725C2semidirect
11. #20286306C2semidirect
12. #20286300C2semidirect
13. #20286299C2semidirect
14. #20286293C2semidirect
15. #20286253C2semidirect
16. #20286251C2semidirect
17. #20286249C2semidirect
18. #20285732C2semidirect
19. #20285729C2semidirect
20. #20285516C2semidirect
21. #20285513C2semidirect
22. #20285478C2semidirect
23. #20285475C2semidirect
24. #20284885C2semidirect
25. #20284884C2semidirect
26. #20283972C2semidirect
27. #20283963C2semidirect
28. #20283930C2semidirect
29. #20283929C2semidirect
30. #20283740C2semidirect
31. C53×#3268C2semidirect
33. C2×#41×D53C22semidirect
34. C2×#13133249C22semidirect
35. C2×#13133246C22semidirect
36. C2×#13133243C22semidirect
37. C2×#13133238C22semidirect
38. C2×#13133237C22semidirect
39. C2×#13133236C22semidirect
40. #16811323C22semidirect
42. #16811320C22semidirect
44. #16811315C22semidirect
45. #16811313C22semidirect
48. #16811295C22semidirect
52. #16811293C22semidirect
54. #16811292C22semidirect
58. #16811291C22semidirect
59. #16811281C22semidirect
60. #16811280C22semidirect
61. #16811267C22semidirect
66. #127×D53C22semidirect
76. #121×D53C22semidirect
78. C4×Q8×D53C22semidirect
81. #16811013C22semidirect
82. #16811011C22semidirect
83. #16811011C22semidirect
84. #16810988C22semidirect
85. #16810987C22semidirect
86. #16810986C22semidirect
87. #16810986C22semidirect
88. #16810960C22semidirect
89. #16810957C22semidirect
90. #16810950C22semidirect
91. #16810948C22semidirect
92. #16810946C22semidirect
93. #16810944C22semidirect
94. #16810942C22semidirect
97. #16810939C22semidirect
98. #16810938C22semidirect
99. #16810935C22semidirect
100. #16810931C22semidirect
101. #16810930C22semidirect
102. #16810929C22semidirect
103. #16810928C22semidirect
104. #16810875C22semidirect
105. #16810875C22semidirect
106. #16810873C22semidirect
107. #16810873C22semidirect
108. #16810871C22semidirect
109. #16810869C22semidirect
110. #16810867C22semidirect
111. #16810858C22semidirect
112. #16810857C22semidirect
113. #16810856C22semidirect
114. #16810855C22semidirect
115. #16810852C22semidirect
116. #16810850C22semidirect
117. #16810849C22semidirect
118. #16810844C22semidirect
119. #16810843C22semidirect
120. #16810842C22semidirect
121. #16810824C22semidirect
122. #16810821C22semidirect
123. #16810821C22semidirect
124. #16810820C22semidirect
125. #16810818C22semidirect
126. #16810816C22semidirect
127. #16810816C22semidirect
128. #16810787C22semidirect
129. #16810787C22semidirect
130. #16810785C22semidirect
131. #16810785C22semidirect
132. #16810784C22semidirect
133. #16810783C22semidirect
134. #16810782C22semidirect
135. #16810780C22semidirect
136. #16810777C22semidirect
137. #16810775C22semidirect
138. #16810775C22semidirect
139. #16810772C22semidirect
140. #16810772C22semidirect
141. #16810769C22semidirect
142. #16810768C22semidirect
143. #16810767C22semidirect
144. #16810767C22semidirect
145. #16810767C22semidirect
146. #16810766C22semidirect
147. #16810765C22semidirect
148. #16810765C22semidirect
149. #16810765C22semidirect
150. #16810765C22semidirect
151. #16810763C22semidirect
154. #16810760C22semidirect
155. #16810757C22semidirect
160. #16810731C22semidirect
161. #16810730C22semidirect
162. #16810728C22semidirect
163. #16810727C22semidirect
164. #16810724C22semidirect
165. #16810723C22semidirect
166. #16810720C22semidirect
167. #16810697C22semidirect
168. #16810696C22semidirect
169. #16810695C22semidirect
170. #16810694C22semidirect
171. #16810693C22semidirect
172. #16810692C22semidirect
173. #16810691C22semidirect
174. #16810679C22semidirect
175. #16810678C22semidirect
176. #16810625C22semidirect
177. #16810624C22semidirect
178. #16810623C22semidirect
179. #16810621C22semidirect
180. #16810620C22semidirect
181. #16810619C22semidirect
182. #16810618C22semidirect
183. #16810616C22semidirect
186. C2×#13133129C22semidirect
187. C22⋊C8×D53C22semidirect
188. C2×AGL(1,ℤ/8)×C53C22semidirect
189. C2×#135×C53C22semidirect
191. C53×#546C22semidirect
192. C53×#496C22semidirect
193. C53×#468C22semidirect
194. C53×#466C22semidirect
195. C53×#464C22semidirect
196. C53×#459C22semidirect
197. C53×#452C22semidirect
198. C53×#449C22semidirect
199. C53×#449C22semidirect
200. C53×#447C22semidirect
201. C53×#440C22semidirect
202. C53×#435C22semidirect
969. #3268D53semidirect
1002. C2×AGL(1,ℤ/8)C2×D53semidirect
1006. C2×#135C2×D53semidirect
1030. #546C2×D53semidirect
1053. #496C2×D53semidirect
1081. #468C2×D53semidirect
1085. #466C2×D53semidirect
1093. #464C2×D53semidirect
1101. #459C2×D53semidirect
1109. #452C2×D53semidirect
1126. #449C2×D53semidirect
1127. #449C2×D53semidirect
1137. #447C2×D53semidirect
1145. #440C2×D53semidirect
1153. #435C2×D53semidirect
1168. C53#61577semidirect

Maximal subgroups

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

subgroupindex
#202885422
#550×D532
#202868432
#202868412
#202868362
#202868342
#202867282
#202867272
#202867262
#202867252
#202863062
#202863002
#202862992
#202862932
#202862532
#202862512
#202862492
#202857322
#202857292
#202855162
#202855132
#202854782
#202854752
#202848852
#202848842
#202839722
#202839632
#202839302
#202839292
#202837402
C53×#32682
#6157753