Finite Group Databasebeta

← #28279573

Subgroups — #28279573

Order 13568.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289224C211yesmaximal, characteristic, complemented
2#20288727C211yesmaximal, characteristic, complemented
3#20287788C211yesmaximal, characteristic, complemented
4#20287780C211yesmaximal, characteristic, complemented
5#20287530C211yesmaximal, characteristic, complemented
6#20287524C211yesmaximal, characteristic, complemented
7#20286941C211yesmaximal, characteristic, complemented
8#20286939C211yesmaximal, characteristic, complemented
9#20286873C211yesmaximal, characteristic, complemented
10#20286871C211yesmaximal, characteristic, complemented
11#20286787C211yesmaximal, characteristic, complemented
12#20286785C211yesmaximal, characteristic, complemented
13#20286372C211yesmaximal, characteristic, complemented
14#20286366C211yesmaximal, characteristic, complemented
15#20286226C211yesmaximal, characteristic, complemented
16#20286210C211yesmaximal, characteristic, complemented
17#20286203C211yesmaximal, characteristic, complemented
18#20286177C211yesmaximal, characteristic, complemented
19#20286172C211yesmaximal, characteristic, complemented
20#20286099C211yesmaximal, characteristic, complemented
21#20285815C211yesmaximal, characteristic, complemented
22#20285813C211yesmaximal, characteristic, complemented
23#20285713C211yesmaximal, characteristic, complemented
24#20284945C211yesmaximal, characteristic, complemented
25#20284937C211yesmaximal, characteristic, complemented
26#20284864C211yesmaximal, characteristic, complemented
27#20284238C211yesmaximal, characteristic, complemented
28#20284233C211yesmaximal, characteristic, complemented
29#20284206C211yesmaximal, characteristic, complemented
30#20283881C211yesmaximal, characteristic, complemented
31C53×#3266C211yesmaximal, characteristic, complemented
32C2×#13133249C2211yescharacteristic, complemented
33C2×#13133248C2211yescharacteristic, complemented
34C2×#13133244C2211yescharacteristic
35C22×#11719924C2211yescharacteristic, complemented
36#16811370—21no—
37#16811366—21no—
38#16811356C2211yescharacteristic
39#16811355C2211yescharacteristic
40Q8×Dic106C2211yescharacteristic, complemented
41#16811347—21no—
42#16811347C2211yescharacteristic, complemented
43#16811344—21no—
44#16811344—21no—
45#16811344C2211yescharacteristic, complemented
46#16811344C2211yescharacteristic, complemented
47#16811338—21no—
48#16811338C2211yescharacteristic, complemented
49#16811284C2211yescharacteristic, complemented
50#16811284C2211yescharacteristic, complemented
51#16811283C2211yescharacteristic
52#16811280C2211yescharacteristic
53#16811270—21no—
54#16811269C2211yescharacteristic
55#16811263—21no—
56#16811257C2211yescharacteristic
57D4×C22⋊D53C2211yescharacteristic
58#16811246—21no—
59#16811246—21no—
60#16811246C2211yescharacteristic
61#16811246C2211yescharacteristic, complemented
62#16811246C2211yescharacteristic, complemented
63#16811240C2211yescharacteristic
64#16811211—21no—
65#16811209—21no—
66#16811205—21no—
67#16811190C2211yescharacteristic
68#16811187C2211yescharacteristic
69#16811183—21no—
70#16811178—21no—
71#16811178C2211yescharacteristic, complemented
72#16811170C2211yescharacteristic
73#16811155—21no—
74#16811155C2211yescharacteristic
75#124×D53C2211yescharacteristic
76#16811101C2211yescharacteristic, complemented
77#16811101C2211yescharacteristic, complemented
78C4×#11719949C2211yescharacteristic, complemented
79#16811015C2211yescharacteristic, complemented
80#16811009C2211yescharacteristic
81#16811009C2211yescharacteristic
82#16811008C2211yescharacteristic, complemented
83#16811004C2211yescharacteristic, complemented
84#16810984C2211yescharacteristic, complemented
85#16810983C2211yescharacteristic, complemented
86#16810982C2211yescharacteristic, complemented
87#16810981C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic
89#16810968C2211yescharacteristic
90#16810965C2211yescharacteristic, complemented
91#16810961C2211yescharacteristic, complemented
92#16810950C2211yescharacteristic, complemented
93#16810948C2211yescharacteristic
94#16810946C2211yescharacteristic, complemented
95#16810944C2211yescharacteristic
96#16810917C2211yescharacteristic, complemented
97#16810916C2211yescharacteristic, complemented
98#16810916C2211yescharacteristic, complemented
99#16810916C2211yescharacteristic, complemented
100#16810906C2211yescharacteristic, complemented
101#16810904C2211yescharacteristic, complemented
102#16810903C2211yescharacteristic, complemented
103#16810902C2211yescharacteristic, complemented
104#16810902C2211yescharacteristic, complemented
105#16810901C2211yescharacteristic, complemented
106#16810872C2211yescharacteristic, complemented
107#16810872C2211yescharacteristic, complemented
108#16810871C2211yescharacteristic
109#16810871C2211yescharacteristic, complemented
110#16810869C2211yescharacteristic, complemented
111#16810866C2211yescharacteristic, complemented
112#16810866C2211yescharacteristic, complemented
113#16810862C2211yescharacteristic, complemented
114#16810859C2211yescharacteristic
115#16810857C2211yescharacteristic
116#16810848C2211yescharacteristic, complemented
117#16810847C2211yescharacteristic, complemented
118#16810847C2211yescharacteristic, complemented
119#16810847C2211yescharacteristic, complemented
120#16810847C2211yescharacteristic, complemented
121#16810847C2211yescharacteristic, complemented
122#16810847C2211yescharacteristic, complemented
123#16810845C2211yescharacteristic, complemented
124#16810843C2211yescharacteristic, complemented
125#16810843C2211yescharacteristic, complemented
126#16810843C2211yescharacteristic, complemented
127#16810843C2211yescharacteristic, complemented
128#16810843C2211yescharacteristic, complemented
129#16810841C2211yescharacteristic, complemented
130#16810841C2211yescharacteristic, complemented
131#16810840C2211yescharacteristic, complemented
132#16810839C2211yescharacteristic, complemented
133#16810837C2211yescharacteristic, complemented
134#16810835C2211yescharacteristic, complemented
135#16810825C2211yescharacteristic, complemented
136#16810821C2211yescharacteristic
137#16810821C2211yescharacteristic
138#16810821C2211yescharacteristic
139#16810821C2211yescharacteristic
140#16810821C2211yescharacteristic, complemented
141#16810821C2211yescharacteristic, complemented
142#16810821C2211yescharacteristic, complemented
143#16810817C2211yescharacteristic, complemented
144#16810783C2211yescharacteristic, complemented
145#16810779C2211yescharacteristic, complemented
146#16810777C2211yescharacteristic, complemented
147#16810777C2211yescharacteristic, complemented
148#16810773C2211yescharacteristic, complemented
149#16810772C2211yescharacteristic
150#16810772C2211yescharacteristic
151#16810771C2211yescharacteristic, complemented
152#16810770C2211yescharacteristic, complemented
153#16810768C2211yescharacteristic, complemented
154#16810767C2211yescharacteristic, complemented
155#16810762C2211yescharacteristic
156#16810759C2211yescharacteristic, complemented
157#16810757C2211yescharacteristic, complemented
158#16810752C2211yescharacteristic, complemented
159#16810751C2211yescharacteristic, complemented
160#16810736C2211yescharacteristic, complemented
161#16810733C2211yescharacteristic, complemented
162#16810730C2211yescharacteristic, complemented
163#16810727C2211yescharacteristic, complemented
164#16810726C2211yescharacteristic, complemented
165#16810724C2211yescharacteristic, complemented
166#16810721C2211yescharacteristic, complemented
167Q16×Dic53C2211yescharacteristic, complemented
168#16810715C2211yescharacteristic, complemented
169SD16×Dic53C2211yescharacteristic, complemented
170#16810708C2211yescharacteristic, complemented
171#16810699C2211yescharacteristic, complemented
172#16810698C2211yescharacteristic, complemented
173#16810695C2211yescharacteristic, complemented
174#16810694C2211yescharacteristic, complemented
175#16810691C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810681C2211yescharacteristic, complemented
178#16810678C2211yescharacteristic, complemented
179#16810651C2211yescharacteristic, complemented
180#16810649C2211yescharacteristic, complemented
181#16810645C2211yescharacteristic, complemented
182#16810630C2211yescharacteristic, complemented
183#16810629C2211yescharacteristic, complemented
184#16810628C2211yescharacteristic, complemented
185#16810626C2211yescharacteristic
186#16810620C2211yescharacteristic, complemented
187#16810619C2211yescharacteristic, complemented
188C2×#137×C53C2211yescharacteristic, complemented
189C22×SD16×C53C2211yescharacteristic, complemented
190D4×Q8×C53C2211yescharacteristic, complemented
191C53×#546C2211yescharacteristic
192C53×#497C2211yescharacteristic, complemented
193C53×#468C2211yescharacteristic
194C53×#467C2211yescharacteristic, complemented
195C53×#464C2211yescharacteristic, complemented
196C53×#461C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic, complemented
198C53×#451C2211yescharacteristic, complemented
199C53×#450C2211yescharacteristic, complemented
200C53×#448C2211yescharacteristic
201C53×#440C2211yescharacteristic, complemented
202C53×#435C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×Q8×D53C2311yescharacteristic
207C22×D212C2311yescharacteristic
208C22×C22⋊D53—21no—
209C2×D4×D53—21no—
210C2×D4×D53C2311yescharacteristic
211#13133249—42no—
212#13133248—42no—
213#13133244—42no—
214C2×#11719925C2311yescharacteristic
215C2×#11719925C2311yescharacteristic
216C2×#11719925C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719924—42no—
219C2×#11719924C2311yescharacteristic
220C2×#11719924C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×#11719924C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×#11719924C2311yescharacteristic
225C2×#11719924C2311yescharacteristic
226C2×D424C2311yescharacteristic
227C2×D424C2311yescharacteristic
228C2×#11719922C2311yescharacteristic
229C2×#11719922C2311yescharacteristic
230C2×#11719917C2311yescharacteristic
231C2×#11719912C2311yescharacteristic
232C2×#11719912C2311yescharacteristic
233C22×#88322C2311yescharacteristic
234#13133217—21no—
235#13133217C2311yescharacteristic
236#13133216—21no—
237#13133216—21no—
238#13133216C2311yescharacteristic
239#13133216C2311yescharacteristic
240#13133216C2311yescharacteristic
241#13133213C2311yescharacteristic
242#13133213C2311yescharacteristic
243#13133213C2311yescharacteristic
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212—21no—
249#13133212—21no—
250#13133212—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210D411yescharacteristic
255#13133210D411yescharacteristic
256#13133208—21no—
257#13133208D411yescharacteristic
258#13133206—21no—
259#13133206—21no—
260#13133206C2311yescharacteristic
261#13133206C2311yescharacteristic
262#13133206C2311yescharacteristic
263#13133206C2311yescharacteristic
264#13133205C2311yescharacteristic
265#13133204—21no—
266#13133204—21no—
267#13133204D411yescharacteristic
268#13133204C2311yescharacteristic
269#13133204C2311yescharacteristic
270#13133203—21no—
271#13133203—21no—
272#13133203—21no—
273#13133203—21no—
274#13133203—21no—
275#13133203—21no—
276#13133203—21no—
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133202—21no—
284#13133201—21no—
285#13133200—21no—
286#13133199—21no—
287#13133199—21no—
288#13133199—21no—
289#13133199—21no—
290#13133199—21no—
291#13133199D411yescharacteristic
292#13133199D411yescharacteristic
293#13133198—21no—
294#13133197—21no—
295#13133197—21no—
296#13133197—21no—
297#13133197—21no—
298#13133197—21no—
299#13133197D411yescharacteristic
300#13133196—21no—
301#13133196C2311yescharacteristic
302#13133195—21no—
303#13133194—21no—
304#13133193—21no—
305#13133193—21no—
306#13133193C2311yescharacteristic
307#13133193C2311yescharacteristic
308#13133192C2311yescharacteristic
309#13133191—21no—
310#13133191—21no—
311#13133191—21no—
312#13133191—21no—
313#13133191C2311yescharacteristic
314#13133191C2311yescharacteristic
315#13133191C2311yescharacteristic
316#13133190—21no—
317#13133190—21no—
318#13133190—21no—
319#13133190—21no—
320#13133189—21no—
321#13133188—21no—
322#13133188—21no—
323#13133188—21no—
324#13133188—21no—
325#13133188D411yescharacteristic
326#13133188C2311yescharacteristic
327#13133187—21no—
328#13133186—21no—
329#13133186—21no—
330#13133186—21no—
331#13133185—21no—
332#13133185—21no—
333#13133185—21no—
334#13133185—21no—
335#13133185—21no—
336Q8×Dic53—21no—
337Q8×Dic53—21no—
338Q8×Dic53—21no—
339Q8×Dic53—21no—
340Q8×Dic53C2311yescharacteristic
341Q8×Dic53C2311yescharacteristic
342Q8×Dic53C2311yescharacteristic
343Q8×Dic53C2311yescharacteristic
344Q8×Dic53C2311yescharacteristic
345Q8×Dic53C2311yescharacteristic
346Q8×Dic53C2311yescharacteristic
347Q8×Dic53C2311yescharacteristic
348C4×Dic106—21no—
349C4×Dic106C2311yescharacteristic
350#13133182—21no—
351#13133182—21no—
352#13133182—21no—
353#13133182C2311yescharacteristic
354C4×D212—21no—
355C4×D212C2311yescharacteristic
356C4×D212C2311yescharacteristic
357D4×Dic53C2311yescharacteristic
358#13133179—21no—
359#13133179—21no—
360#13133179C2311yescharacteristic
361#13133179C2311yescharacteristic
362C4×C22⋊D53—21no—
363C4×C22⋊D53—21no—
364C4×C22⋊D53—21no—
365C4×C22⋊D53—21no—
366C4×C22⋊D53—21no—
367C4×C22⋊D53C2311yescharacteristic
368C4×C22⋊D53C2311yescharacteristic
369#13133177—21no—
370#13133176—21no—
371#13133176—21no—
372#13133176—21no—
373#13133176—21no—
374#13133176C2311yescharacteristic
375#13133176C2311yescharacteristic
376#13133176C2311yescharacteristic
377#13133176C2311yescharacteristic
378#13133175—21no—
379#13133175—21no—
380#13133175—21no—
381#13133175—21no—
382#13133175C2311yescharacteristic
383C22⋊C4×D53—21no—
384C22⋊C4×D53—21no—
385C22⋊C4×D53—21no—
386C42×D53—21no—
387C42×D53C2311yescharacteristic
388#13133151C2311yescharacteristic
389#13133151C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431C22⋊#88322C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133128C2311yescharacteristic
435#13133127C2311yescharacteristic
436#13133127C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C8×Dic53C2311yescharacteristic
439C2×#41×C53C2311yescharacteristic
440C22×Q8×C53C2311yescharacteristic
441C22×Q8×C53C2311yescharacteristic
442C22×D4×C53C2311yescharacteristic
443#137×C53—42no—
444C2×Q16×C53C2311yescharacteristic
445C2×Q16×C53C2311yescharacteristic
446C2×Q16×C53C2311yescharacteristic
447C2×SD16×C53—42no—
448C2×SD16×C53C2311yescharacteristic
449C2×SD16×C53C2311yescharacteristic
450C2×SD16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×SD16×C53C2311yescharacteristic
454C2×M16×C53C2311yescharacteristic
455C22×C8×C53C2311yescharacteristic
456C4⋊Q8×C53—21no—
457C4⋊Q8×C53C2311yescharacteristic
458#124×C53C2311yescharacteristic
459#123×C53—21no—
460C22⋊Q8×C53—21no—
461C22⋊Q8×C53—21no—
462C22⋊Q8×C53C2311yescharacteristic
463C22⋊Q8×C53C2311yescharacteristic
464C22⋊Q8×C53C2311yescharacteristic
465#121×C53—21no—
466#121×C53C2311yescharacteristic
467#120×C53—21no—
468C4×Q8×C53C2311yescharacteristic
469C4×D4×C53—21no—
470C4×D4×C53C2311yescharacteristic
471C4×D4×C53C2311yescharacteristic
472C2×C22⋊C4×C53—21no—
473#107×C53C2311yescharacteristic
474C4⋊C8×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482C22⋊C8×C53C2311yescharacteristic
483#97×C53C2311yescharacteristic
484C24×C53—21no—
485C23×D53—21no—
486C23×D53—21no—
487#41×C53—41no—
488#41×C53—41no—
489C2×Q8×C53—21no—
490C2×Q8×C53—21no—
491C2×Q8×C53—22no—
492C2×Q8×C53—22no—
493C2×Q8×C53—41no—
494C2×Q8×C53—41no—
495C2×Q8×C53C2411yescharacteristic
496C2×Q8×C53C2411yescharacteristic
497C2×Q8×C53C2411yescharacteristic
498C2×Q8×C53C2411yescharacteristic
499C2×D4×C53—21no—
500C2×D4×C53—21no—
501C2×D4×C53—21no—
502C2×D4×C53—41no—
503C2×D4×C53—41no—
504C2×D4×C53C2×D411yescharacteristic
505C2×D4×C53C2411yescharacteristic
506C2×D4×C53C2411yescharacteristic
507C22×C4×C53—21no—
508C22×C4×C53—21no—
509C22×C4×C53—21no—
510C22×C4×C53—21no—
511C22×C4×C53C2411yescharacteristic
512C22×C4×C53C2411yescharacteristic
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—21no—
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—82no—
526C2×C22⋊D53C2×D411yescharacteristic
527C2×C22⋊D53C2×D411yescharacteristic
528C22×Dic53—21no—
529#11719949—22no—
530#11719949—41no—
531Q8×D53—41no—
532Q8×D53—41no—
533D4×D53—41no—
534D4×D53—41no—
535D4×D53—82no—
536#11719945—41no—
537#11719945—41no—
538#11719945—82no—
539C2×D212—21no—
540C2×D212—21no—
541C2×D212—21no—
542C2×D212—41no—
543C2×D212—41no—
544C2×D212C2411yescharacteristic
545C2×D212C2411yescharacteristic
546C2×D212C2411yescharacteristic
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53C2×D411yescharacteristic
555C2×C4×D53C2×D411yescharacteristic
556C2×C4×D53C2411yescharacteristic
557C2×Dic106—21no—
558C2×Dic106—21no—
559C2×Dic106—21no—
560C2×Dic106—21no—
561C2×Dic106—21no—
562C2×Dic106C2×D411yescharacteristic
563C2×Dic106C2411yescharacteristic
564Q16×C53—22no—
565Q16×C53—41no—
566Q16×C53—41no—
567SD16×C53—22no—
568SD16×C53—22no—
569SD16×C53—41no—
570SD16×C53—41no—
571SD16×C53—41no—
572SD16×C53—41no—
573M16×C53—41no—
574C2×C8×C53—41no—
575C2×C8×C53C2411yescharacteristic
576C2×C8×C53C2411yescharacteristic
577C2×C8×C53C2411yescharacteristic
578C2×C8×C53C2411yescharacteristic
579C4⋊C4×C53—21no—
580C4⋊C4×C53—21no—
581C4⋊C4×C53—21no—
582C4⋊C4×C53—21no—
583C4⋊C4×C53—21no—
584C4⋊C4×C53—21no—
585C4⋊C4×C53C2×D411yescharacteristic
586C4⋊C4×C53C2411yescharacteristic
587C4⋊C4×C53C2411yescharacteristic
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C22⋊C4×C53—21no—
592C22⋊C4×C53—21no—
593C22⋊C4×C53—21no—
594C22⋊C4×C53—21no—
595C22⋊C4×C53C2×D411yescharacteristic
596C22⋊C4×C53C2×D411yescharacteristic
597C42×C53—21no—
598C42×C53C2411yescharacteristic
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53C2×D411yescharacteristic
609C22⋊Dic53C2×D411yescharacteristic
610C22⋊Dic53C2×D411yescharacteristic
611C22⋊Dic53C2×D411yescharacteristic
612C22⋊Dic53C2×D411yescharacteristic
613C22⋊Dic53C2×D411yescharacteristic
614#11719925—22no—
615#11719925—41no—
616#11719925—41no—
617#11719924—22no—
618#11719924—22no—
619#11719924—41no—
620#11719924—41no—
621#11719924—41no—
622#11719924—41no—
623#11719924—41no—
624#11719922—41no—
625#11719922—41no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921—21no—
638#11719921—21no—
639#11719921—21no—
640#11719921—21no—
641#11719921—21no—
642#11719921—21no—
643#11719921—21no—
644#11719921—21no—
645#11719921—21no—
646#11719921—21no—
647#11719921C2×D411yescharacteristic
648#11719921C2×D411yescharacteristic
649C4⋊Dic53—21no—
650C4⋊Dic53—21no—
651C4⋊Dic53—21no—
652C4⋊Dic53—21no—
653C4⋊Dic53—21no—
654C4⋊Dic53—21no—
655C4⋊Dic53—21no—
656C4⋊Dic53—21no—
657C4⋊Dic53—21no—
658C4⋊Dic53C2×D411yescharacteristic
659C4⋊Dic53C2×D411yescharacteristic
660C4⋊Dic53C2×D411yescharacteristic
661C4⋊Dic53C2×D411yescharacteristic
662C4⋊Dic53C2×D411yescharacteristic
663C4⋊Dic53C2411yescharacteristic
664C4⋊Dic53C2411yescharacteristic
665C4⋊Dic53C2411yescharacteristic
666C4⋊Dic53C2411yescharacteristic
667#11719919—21no—
668#11719919—21no—
669#11719919—21no—
670#11719919—21no—
671#11719919—21no—
672#11719919—21no—
673#11719919—21no—
674#11719919C2×D411yescharacteristic
675#11719919C2×D411yescharacteristic
676#11719919C2×D411yescharacteristic
677#11719919C2×D411yescharacteristic
678C4×Dic53—21no—
679C4×Dic53—21no—
680C4×Dic53—21no—
681C4×Dic53—21no—
682C4×Dic53—21no—
683C4×Dic53—21no—
684C4×Dic53—21no—
685C4×Dic53—21no—
686C4×Dic53—21no—
687C4×Dic53—21no—
688C4×Dic53—21no—
689C4×Dic53—21no—
690C4×Dic53C2×D411yescharacteristic
691C4×Dic53C2×D411yescharacteristic
692C4×Dic53C2411yescharacteristic
693C4×Dic53C2411yescharacteristic
694C4×Dic53C2411yescharacteristic
695#11719917—41no—
696C2×#88322—41no—
697C2×#88322C2411yescharacteristic
698C2×#88322C2411yescharacteristic
699C2×#88322C2411yescharacteristic
700C2×#88322C2411yescharacteristic
701D424—41no—
702D424—41no—
703#11719913—41no—
704#11719912—41no—
705#11719912—41no—
706C23×C53—21no—
707C23×C53—21no—
708C23×C53—81no—
709C23×C53—81no—
710C23×C53—81no—
711C23×C53C22×D411yescharacteristic
712C23×C53C22×D411yescharacteristic
713C22×D53—21no—
714C22×D53—21no—
715C22×D53—21no—
716C22×D53—42no—
717C22×D53—81no—
718C22×D53—81no—
719C22×D53—81no—
720C22×D53—81no—
721C22×D53—81no—
722C22×D53C22×D411yescharacteristic
723Q8×C53—21no—
724Q8×C53—21no—
725Q8×C53—21no—
726Q8×C53—21no—
727Q8×C53—21no—
728Q8×C53—21no—
729Q8×C53—21no—
730Q8×C53—42no—
731Q8×C53—42no—
732Q8×C53H(5,𝔽2)12yes—
733D4×C53—21no—
734D4×C53—21no—
735D4×C53—21no—
736D4×C53—21no—
737D4×C53—41no—
738D4×C53—81no—
739D4×C53—81no—
740D4×C53—81no—
741C2×C4×C53—21no—
742C2×C4×C53—21no—
743C2×C4×C53—21no—
744C2×C4×C53—21no—
745C2×C4×C53—21no—
746C2×C4×C53—21no—
747C2×C4×C53—21no—
748C2×C4×C53—21no—
749C2×C4×C53—21no—
750C2×C4×C53—21no—
751C2×C4×C53—42no—
752C2×C4×C53—42no—
753C2×C4×C53—81no—
754C2×C4×C53—81no—
755C2×C4×C53C22×D411yescharacteristic
756C2×C4×C53C22×D411yescharacteristic
757C2×C4×C53C22×D411yescharacteristic
758C2×C4×C53C22×D411yescharacteristic
759C2×C4×C53C2511yescharacteristic
760C22⋊D53—41no—
761C22⋊D53—41no—
762C22⋊D53—42no—
763C22⋊D53—81no—
764C22⋊D53—81no—
765C22⋊D53—81no—
766C22⋊D53—81no—
767C22⋊D53—81no—
768C22⋊D53—81no—
769C22⋊D53—81no—
770C22⋊D53—81no—
771C22⋊D53—81no—
772C22⋊D53—81no—
773C22⋊D53—81no—
774C2×Dic53—21no—
775C2×Dic53—21no—
776C2×Dic53—21no—
777C2×Dic53—21no—
778C2×Dic53—21no—
779C2×Dic53—81no—
780C2×Dic53C22×D411yescharacteristic
781C2×Dic53C22×D411yescharacteristic
782C2×Dic53C22×D411yescharacteristic
783C2×Dic53C22×D411yescharacteristic
784C2×Dic53C22×D411yescharacteristic
785C2×Dic53C22×D411yescharacteristic
786C2×Dic53C22×D411yescharacteristic
787D212—21no—
788D212—21no—
789D212—21no—
790D212—21no—
791D212—21no—
792D212—21no—
793D212—42no—
794D212—42no—
795D212—81no—
796C4×D53—21no—
797C4×D53—21no—
798C4×D53—41no—
799C4×D53—41no—
800C4×D53—42no—
801C4×D53—42no—
802C4×D53—81no—
803C4×D53—81no—
804C4×D53—81no—
805C4×D53—81no—
806C4×D53—81no—
807Dic106—21no—
808Dic106—21no—
809Dic106—41no—
810Dic106—81no—
811Dic106—81no—
812Dic106—81no—
813Dic106—81no—
814Dic106—81no—
815C8×C53—21no—
816C8×C53—21no—
817C8×C53—21no—
818C8×C53—21no—
819#88322—21no—
820#88322—21no—
821#88322—21no—
822#88322—21no—
823#62092—531nomaximal, Sylow
824C22×C53—21no—
825C22×C53—21no—
826C22×C53—21no—
827C22×C53—21no—
828C22×C53—21no—
829C22×C53—21no—
830C22×C53—41no—
831C22×C53—41no—
832C22×C53—41no—
833C22×C53—41no—
834C22×C53—41no—
835C22×C53—41no—
836C22×C53—162no—
837C22×C53C23×D411yescharacteristic
838C2×D53—21no—
839C2×D53—21no—
840C2×D53—21no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—41no—
844C2×D53—41no—
845C2×D53—41no—
846C2×D53—41no—
847C2×D53—41no—
848C2×D53—41no—
849C2×D53—41no—
850C2×D53—162no—
851C2×D53—162no—
852C4×C53—21no—
853C4×C53—21no—
854C4×C53—22no—
855C4×C53—21no—
856C4×C53—21no—
857C4×C53—41no—
858C4×C53—41no—
859C4×C53—41no—
860C4×C53—41no—
861C4×C53—41no—
862C4×C53C2×H(5,𝔽2)11yescharacteristic
863C4×C53#58511yescharacteristic
864Dic53—21no—
865Dic53—21no—
866Dic53—21no—
867Dic53—21no—
868Dic53—21no—
869Dic53—21no—
870Dic53—21no—
871Dic53—41no—
872Dic53—41no—
873Dic53—41no—
874Dic53—41no—
875Dic53—41no—
876#3558—531no—
877#3518—531no—
878#3401—531no—
879#3401—531no—
880#3375—531no—
881#3375—531no—
882#3324—531no—
883#3324—531no—
884#3319—531no—
885#3319—531no—
886#3313—531no—
887#3313—531no—
888#3277—531no—
889#3277—531no—
890#3266—531no—
891#3266D5311yescharacteristic, complemented
892#3265—531no—
893#3265—531no—
894#3262—531no—
895#3262—531no—
896#3254—531no—
897#3224—531no—
898#3224—531no—
899#3215—531no—
900#3121—531no—
901#3121—531no—
902#3115—531no—
903#3043—531no—
904#3043—531no—
905#3040—531no—
906#2995—531no—
907C2×C53—41no—
908C2×C53—41no—
909C2×C53—81no—
910C2×C53—81no—
911C2×C53#348811yescharacteristic
912C2×C53#358511yescharacteristic
913C2×C53#358611yescharacteristic
914D53—41no—
915D53—81no—
916D53—81no—
917D53—81no—
918C2×#137—531no—
919C2×#137—531no—
920C2×#137C2×D5311yescharacteristic, complemented
921C2×AGL(1,ℤ/8)—531no—
922C22×SD16—531no—
923C22×SD16C2×D5311yescharacteristic, complemented
924#562—1061no—
925H(3,𝔽4)—1061no—
926#559—531no—
927#559—531no—
928Q82—531no—
929#556—531no—
930#556—531no—
931#556—531no—
932#556—1061no—
933#556—1061no—
934#556—1061no—
935#555—531no—
936#555—1061no—
937D4×Q8C2×D5311yescharacteristic, complemented
938#548—531no—
939#548—531no—
940#548—531no—
941#548—531no—
942#546—531no—
943#546—1061no—
944#546—1061no—
945#546C2×D5311yescharacteristic
946D42—531no—
947D42—531no—
948#542—531no—
949#542—531no—
950#542—531no—
951#542—531no—
952#542—1061no—
953#542—1061no—
954#538—1061no—
955#538—1061no—
956#538—1061no—
957#535—531no—
958#535—531no—
959#534—1061no—
960#533—531no—
961#533—1061no—
962#532—531no—
963#529—531no—
964#529—1061no—
965C2×#124—531no—
966#519—531no—
967#519—531no—
968C4×#41—531no—
969#497—531no—
970#497C2×D5311yescharacteristic, complemented
971#496—531no—
972#496—531no—
973#495—531no—
974#495—531no—
975#489—531no—
976#489—531no—
977#489—531no—
978#489—531no—
979#486—531no—
980#486—531no—
981#485—531no—
982#485—531no—
983#482—531no—
984#482—531no—
985#482—531no—
986#482—531no—
987#477—531no—
988#477—531no—
989#477—531no—
990#477—531no—
991#475—531no—
992#474—531no—
993#474—531no—
994#474—531no—
995#474—531no—
996#474—531no—
997#468—531no—
998#468—531no—
999#468—531no—
1000#468—531no—
1001#468—531no—
1002#468—531no—
1003#468—531no—
1004#468C2×D5311yescharacteristic
1005#467—531no—
1006#467C2×D5311yescharacteristic, complemented
1007#466—531no—
1008#466—531no—
1009#464—531no—
1010#464—531no—
1011#464—531no—
1012#464—531no—
1013#464—531no—
1014#464—531no—
1015#464—531no—
1016#464—531no—
1017#464—531no—
1018#464—531no—
1019#464—531no—
1020#464—531no—
1021#464—531no—
1022#464C2×D5311yescharacteristic, complemented
1023#463—531no—
1024#463—531no—
1025#463—531no—
1026#463—531no—
1027#463—531no—
1028#463—531no—
1029#461—531no—
1030#461C2×D5311yescharacteristic, complemented
1031#460—531no—
1032#460—531no—
1033#460—531no—
1034#460—531no—
1035#460—531no—
1036#460—531no—
1037#460—531no—
1038#459—531no—
1039#452—531no—
1040#452C2×D5311yescharacteristic, complemented
1041#451—531no—
1042#451—531no—
1043#451—531no—
1044#451C2×D5311yescharacteristic, complemented
1045#450—531no—
1046#450—531no—
1047#450—531no—
1048#450C2×D5311yescharacteristic, complemented
1049#449—531no—
1050#449—531no—
1051#449—531no—
1052#449—531no—
1053#448—531no—
1054#448C2×D5311yescharacteristic
1055#447—531no—
1056#447—531no—
1057#446—531no—
1058#446—531no—
1059#442—531no—
1060#442—531no—
1061#441—531no—
1062#441—531no—
1063#440—531no—
1064#440—531no—
1065#440—531no—
1066#440C2×D5311yescharacteristic, complemented
1067C4×Q16—531no—
1068C4×Q16—531no—
1069C4×SD16—531no—
1070C4×SD16—531no—
1071#436—531no—
1072#436—531no—
1073#435—531no—
1074#435—531no—
1075#435—531no—
1076#435C2×D5311yescharacteristic, complemented
1077#433—531no—
1078#433—531no—
1079#432—531no—
1080#424—531no—
1081#424—531no—
1082#423—531no—
1083#419—531no—
1084#418—531no—
1085#418—531no—
1086#418—531no—
1087#416—531no—
1088#416—531no—
1089C53#6209211yescharacteristic, complemented, Sylow
1090C2×#41—531no—
1091C2×#41—531no—
1092C2×#41—1061no—
1093C2×#41C22×D5311yescharacteristic
1094C22×Q8—531no—
1095C22×Q8C22×D5311yescharacteristic
1096C22×Q8C22×D5311yescharacteristic
1097C22×D4—531no—
1098C22×D4—531no—
1099C22×D4—1061no—
1100C22×D4—1061no—
1101C22×D4C22×D5311yescharacteristic
1102#137—42no—
1103#137—2122no—
1104#137—2122no—
1105AGL(1,ℤ/8)—2122no—
1106C2×Q16—531no—
1107C2×Q16—531no—
1108C2×Q16—531no—
1109C2×Q16C22×D5311yescharacteristic
1110C2×Q16C22×D5311yescharacteristic
1111C2×Q16C22×D5311yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—531no—
1114C2×SD16—531no—
1115C2×SD16—531no—
1116C2×SD16—531no—
1117C2×SD16—531no—
1118C2×SD16—531no—
1119C2×SD16—531no—
1120C2×SD16—531no—
1121C2×SD16—2122no—
1122C2×SD16C22×D5311yescharacteristic
1123C2×SD16C22×D5311yescharacteristic
1124C2×SD16C22×D5311yescharacteristic
1125C2×SD16C22×D5311yescharacteristic
1126C2×SD16C22×D5311yescharacteristic
1127C2×SD16C22×D5311yescharacteristic
1128C2×D8—531no—
1129C2×D8—531no—
1130C2×D8—531no—
1131C2×D8—531no—
1132C2×M16—531no—
1133C2×M16—531no—
1134C2×M16—531no—
1135C2×M16C22×D5311yescharacteristic
1136C22×C8—531no—
1137C22×C8C22×D5311yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—531no—
1140C4⋊Q8—531no—
1141C4⋊Q8—531no—
1142C4⋊Q8—531no—
1143C4⋊Q8—1061no—
1144C4⋊Q8—1061no—
1145C4⋊Q8—1061no—
1146C4⋊Q8C22×D5311yescharacteristic
1147#127—531no—
1148#127—531no—
1149#127—531no—
1150#126—531no—
1151#126—531no—
1152#126—1061no—
1153#126—1061no—
1154#126—1061no—
1155#126—1061no—
1156#126—1061no—
1157#126—1061no—
1158#126—1061no—
1159#126—1061no—
1160#126—1061no—
1161#126—1061no—
1162#125—531no—
1163#125—1061no—
1164#124—531no—
1165#124—531no—
1166#124—531no—
1167#124—531no—
1168#124—531no—
1169#124—531no—
1170#124—531no—
1171#124—531no—
1172#124—1061no—
1173#124—1061no—
1174#124—1061no—
1175#124—1061no—
1176#124—1061no—
1177#124—1061no—
1178#124—1061no—
1179#124—1061no—
1180#124—1061no—
1181#124—1061no—
1182#124—1061no—
1183#124—1061no—
1184#124—1061no—
1185#124—1061no—
1186#124—1061no—
1187#124—1061no—
1188#124—1061no—
1189#124C22×D5311yescharacteristic
1190#123—21no—
1191#123—531no—
1192#123—531no—
1193#123—1061no—
1194#123—1061no—
1195#123—1061no—
1196#123—1061no—
1197#123—1061no—
1198#123—1061no—
1199#123—1061no—
1200#123—1061no—
1201#123—1061no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—531no—
1205C22⋊Q8—531no—
1206C22⋊Q8—531no—
1207C22⋊Q8—531no—
1208C22⋊Q8—1061no—
1209C22⋊Q8—1061no—
1210C22⋊Q8—1061no—
1211C22⋊Q8—1061no—
1212C22⋊Q8—1061no—
1213C22⋊Q8—1061no—
1214C22⋊Q8—1061no—
1215C22⋊Q8—1061no—
1216C22⋊Q8—1061no—
1217C22⋊Q8—1061no—
1218C22⋊Q8C22×D5311yescharacteristic
1219C22⋊Q8C22×D5311yescharacteristic
1220C22⋊Q8C22×D5311yescharacteristic
1221#121—21no—
1222#121—531no—
1223#121—531no—
1224#121—531no—
1225#121—531no—
1226#121—531no—
1227#121—531no—
1228#121—1061no—
1229#121—1061no—
1230#121—1061no—
1231#121—1061no—
1232#121—1061no—
1233#121—1061no—
1234#121—1061no—
1235#121—1061no—
1236#121—1061no—
1237#121—1061no—
1238#121—1061no—
1239#121—1061no—
1240#121—1061no—
1241#121C22×D5311yescharacteristic
1242#120—21no—
1243#120—1061no—
1244#120—1061no—
1245#120—1061no—
1246#120—1061no—
1247#120—1061no—
1248#120—1061no—
1249#120—1061no—
1250#120—1061no—
1251#120—1061no—
1252C4×Q8—531no—
1253C4×Q8—531no—
1254C4×Q8—531no—
1255C4×Q8—531no—
1256C4×Q8—531no—
1257C4×Q8—531no—
1258C4×Q8—531no—
1259C4×Q8—531no—
1260C4×Q8—531no—
1261C4×Q8—531no—
1262C4×Q8—1061no—
1263C4×Q8—1061no—
1264C4×Q8—1061no—
1265C4×Q8—1061no—
1266C4×Q8—1061no—
1267C4×Q8—1061no—
1268C4×Q8—1061no—
1269C4×Q8—1061no—
1270C4×Q8C22×D5311yescharacteristic
1271C4×D4—21no—
1272C4×D4—531no—
1273C4×D4—531no—
1274C4×D4—531no—
1275C4×D4—531no—
1276C4×D4—531no—
1277C4×D4—531no—
1278C4×D4—531no—
1279C4×D4—1061no—
1280C4×D4—1061no—
1281C4×D4—1061no—
1282C4×D4—1061no—
1283C4×D4—1061no—
1284C4×D4—1061no—
1285C4×D4—1061no—
1286C4×D4—1061no—
1287C4×D4—1061no—
1288C4×D4C22×D5311yescharacteristic
1289C4×D4C22×D5311yescharacteristic
1290#117—531no—
1291#117—531no—
1292#117—531no—
1293#117—531no—
1294#117—531no—
1295#117—1061no—
1296#117—1061no—
1297#117—1061no—
1298#117—1061no—
1299#117—1061no—
1300#117—1061no—
1301#117—1061no—
1302#117—1061no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—1061no—
1305C2×C22⋊C4—1061no—
1306C2×C22⋊C4—1061no—
1307C2×C42—531no—
1308C2×C42—1061no—
1309#107—531no—
1310#107—531no—
1311#107—531no—
1312#107—531no—
1313#107—531no—
1314#107C22×D5311yescharacteristic
1315#106—531no—
1316#106—531no—
1317C4⋊C8—531no—
1318C4⋊C8—531no—
1319C4⋊C8—531no—
1320C4⋊C8—531no—
1321C4⋊C8—531no—
1322C4⋊C8—531no—
1323C4⋊C8—531no—
1324C4⋊C8—531no—
1325C4⋊C8—531no—
1326C4⋊C8C22×D5311yescharacteristic
1327#103—531no—
1328#103—531no—
1329#103—531no—
1330#103—531no—
1331#103—531no—
1332#103—531no—
1333#103—531no—
1334#103—531no—
1335#103—531no—
1336#103—531no—
1337#103C22×D5311yescharacteristic
1338#103C22×D5311yescharacteristic
1339#103C22×D5311yescharacteristic
1340#103C22×D5311yescharacteristic
1341#102—531no—
1342#102—531no—
1343#102—531no—
1344#102—531no—
1345#102—531no—
1346#102—531no—
1347#102—531no—
1348#102—531no—
1349#102—531no—
1350#102—531no—
1351#102—531no—
1352#102—531no—
1353#102—531no—
1354#102—531no—
1355#102—531no—
1356#102—531no—
1357#102C22×D5311yescharacteristic
1358#102C22×D5311yescharacteristic
1359C22⋊C8—531no—
1360C22⋊C8—531no—
1361C22⋊C8—531no—
1362C22⋊C8—531no—
1363C22⋊C8C22×D5311yescharacteristic
1364C22⋊C8C22×D5311yescharacteristic
1365#97—531no—
1366#97—531no—
1367#97—531no—
1368#97C22×D5311yescharacteristic
1369C4×C8—531no—
1370C4×C8—531no—
1371C24—21no—
1372C24—1061no—
1373C24—1061no—
1374#41—41no—
1375#41—41no—
1376#41—1062no—
1377#41—4242no—
1378#41—2121no—
1379#41—2121no—
1380#41—2121no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—531no—
1388C2×Q8—531no—
1389C2×Q8—1061no—
1390C2×Q8—1061no—
1391C2×Q8—1061no—
1392C2×Q8—1061no—
1393C2×Q8—1061no—
1394C2×Q8—2121no—
1395C2×Q8—2121no—
1396C2×Q8C23×D5311yescharacteristic
1397C2×Q8C23×D5311yescharacteristic
1398C2×Q8C23×D5311yescharacteristic
1399C2×Q8C23×D5311yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—531no—
1406C2×D4—531no—
1407C2×D4—531no—
1408C2×D4—531no—
1409C2×D4—531no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—1061no—
1415C2×D4—1061no—
1416C2×D4—1061no—
1417C2×D4—1061no—
1418C2×D4—1061no—
1419C2×D4—1061no—
1420C2×D4—1061no—
1421C2×D4—1061no—
1422C2×D4—1061no—
1423C2×D4—1061no—
1424C2×D4—1061no—
1425C2×D4—4242no—
1426C2×D4—4242no—
1427C2×D4—2121no—
1428C2×D4—2121no—
1429C2×D4—2121no—
1430C2×D4—2121no—
1431C2×D4D4×D5311yescharacteristic
1432C2×D4C23×D5311yescharacteristic
1433C2×D4C23×D5311yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—531no—
1439C22×C4—531no—
1440C22×C4—531no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4—1061no—
1444C22×C4—1061no—
1445C22×C4—1061no—
1446C22×C4—1061no—
1447C22×C4—1061no—
1448C22×C4—1061no—
1449C22×C4C23×D5311yescharacteristic
1450C22×C4C23×D5311yescharacteristic
1451Q16—22no—
1452Q16—41no—
1453Q16—41no—
1454Q16—1062no—
1455Q16—2121no—
1456Q16—2121no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—1062no—
1464SD16—1062no—
1465SD16—2121no—
1466SD16—2121no—
1467SD16—2121no—
1468SD16—2121no—
1469SD16—2121no—
1470SD16—2121no—
1471D8—2121no—
1472D8—2121no—
1473D8—2121no—
1474D8—2121no—
1475M16—41no—
1476M16—2121no—
1477M16—2121no—
1478M16—2121no—
1479C2×C8—41no—
1480C2×C8—531no—
1481C2×C8—531no—
1482C2×C8—531no—
1483C2×C8—531no—
1484C2×C8—2121no—
1485C2×C8C23×D5311yescharacteristic
1486C2×C8C23×D5311yescharacteristic
1487C2×C8C23×D5311yescharacteristic
1488C2×C8C23×D5311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—531no—
1496C4⋊C4—531no—
1497C4⋊C4—531no—
1498C4⋊C4—531no—
1499C4⋊C4—531no—
1500C4⋊C4—531no—
1501C4⋊C4—531no—
1502C4⋊C4—531no—
1503C4⋊C4—531no—
1504C4⋊C4—531no—
1505C4⋊C4—531no—
1506C4⋊C4—531no—
1507C4⋊C4—531no—
1508C4⋊C4—1061no—
1509C4⋊C4—1061no—
1510C4⋊C4—1061no—
1511C4⋊C4—1061no—
1512C4⋊C4—1061no—
1513C4⋊C4—1061no—
1514C4⋊C4—1061no—
1515C4⋊C4—1061no—
1516C4⋊C4—1061no—
1517C4⋊C4—1061no—
1518C4⋊C4—1061no—
1519C4⋊C4—1061no—
1520C4⋊C4—1061no—
1521C4⋊C4—1061no—
1522C4⋊C4—1061no—
1523C4⋊C4—1061no—
1524C4⋊C4D4×D5311yescharacteristic
1525C4⋊C4C23×D5311yescharacteristic
1526C4⋊C4C23×D5311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—531no—
1535C22⋊C4—531no—
1536C22⋊C4—531no—
1537C22⋊C4—531no—
1538C22⋊C4—531no—
1539C22⋊C4—531no—
1540C22⋊C4—531no—
1541C22⋊C4—531no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4—1061no—
1554C22⋊C4—1061no—
1555C22⋊C4—1061no—
1556C22⋊C4—1061no—
1557C22⋊C4—1061no—
1558C22⋊C4—1061no—
1559C22⋊C4—1061no—
1560C22⋊C4—1061no—
1561C22⋊C4—1061no—
1562C22⋊C4—1061no—
1563C22⋊C4—1061no—
1564C22⋊C4—1061no—
1565C22⋊C4—1061no—
1566C22⋊C4—1061no—
1567C22⋊C4—1061no—
1568C22⋊C4—1061no—
1569C22⋊C4—1061no—
1570C22⋊C4—1061no—
1571C22⋊C4—1061no—
1572C22⋊C4D4×D5311yescharacteristic
1573C22⋊C4D4×D5311yescharacteristic
1574C42—21no—
1575C42—531no—
1576C42—531no—
1577C42—531no—
1578C42—531no—
1579C42—531no—
1580C42—1061no—
1581C42—1061no—
1582C42—1061no—
1583C42—1061no—
1584C42—1061no—
1585C42—1061no—
1586C42—1061no—
1587C42—1061no—
1588C42—1061no—
1589C42—1061no—
1590C42—1061no—
1591C42—1061no—
1592C42C23×D5311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—81no—
1596C23—81no—
1597C23—81no—
1598C23—531no—
1599C23—1061no—
1600C23—1061no—
1601C23—1061no—
1602C23—4241no—
1603C23—4241no—
1604C23—4241no—
1605C23—4241no—
1606C23—4241no—
1607C23—2122no—
1608C23C2×D4×D5311yescharacteristic
1609C23C2×D4×D5311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—42no—
1618Q8—42no—
1619Q8—1061no—
1620Q8—1061no—
1621Q8—4241no—
1622Q8—4241no—
1623Q8—4241no—
1624Q8—4241no—
1625Q8—4241no—
1626Q8—2121no—
1627Q8#1313326212yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—1061no—
1637D4—1061no—
1638D4—1061no—
1639D4—1061no—
1640D4—1061no—
1641D4—1061no—
1642D4—4241no—
1643D4—4241no—
1644D4—4241no—
1645D4—4241no—
1646D4—4241no—
1647D4—4241no—
1648D4—4241no—
1649D4—4241no—
1650D4—4241no—
1651D4—4241no—
1652D4—4241no—
1653D4—4241no—
1654D4—2122no—
1655D4—2122no—
1656D4—2121no—
1657D4—2121no—
1658D4—2122no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—531no—
1674C2×C4—531no—
1675C2×C4—531no—
1676C2×C4—531no—
1677C2×C4—531no—
1678C2×C4—531no—
1679C2×C4—531no—
1680C2×C4—1061no—
1681C2×C4—1061no—
1682C2×C4—1061no—
1683C2×C4—1061no—
1684C2×C4—1061no—
1685C2×C4—1061no—
1686C2×C4—1061no—
1687C2×C4—4241no—
1688C2×C4—4241no—
1689C2×C4—4241no—
1690C2×C4—4241no—
1691C2×C4—4241no—
1692C2×C4—4241no—
1693C2×C4—2121no—
1694C2×C4—2121no—
1695C2×C4—2122no—
1696C2×C4—2122no—
1697C2×C4C2×D4×D5311yescharacteristic
1698C2×C4C2×D4×D5311yescharacteristic
1699C2×C4C2×D4×D5311yescharacteristic
1700C2×C4C2×D4×D5311yescharacteristic
1701C2×C4C24×D5311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1061no—
1707C8—1061no—
1708C8—1061no—
1709C8—1061no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—8482no—
1724C22—8482no—
1725C22—1061no—
1726C22—1061no—
1727C22—1061no—
1728C22—2121no—
1729C22—2121no—
1730C22—2121no—
1731C22—2121no—
1732C22—2121no—
1733C22—2121no—
1734C22—2121no—
1735C22—2121no—
1736C22—2121no—
1737C22C22×D4×D5311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—22no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—1061no—
1749C4—1061no—
1750C4—1061no—
1751C4—1061no—
1752C4—1061no—
1753C4—1061no—
1754C4—1061no—
1755C4—2121no—
1756C4—2121no—
1757C4—2121no—
1758C4—2121no—
1759C4—2121no—
1760C4C2×#1313326211yescharacteristic
1761C4#1681145811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—4241no—
1767C2—4241no—
1768C2—4241no—
1769C2—2121no—
1770C2#2028837511yescharacteristic
1771C2#2028949311yescharacteristic
1772C2#2028949811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3266C2
socleC22×C53C23×D4
hypercenter#3266D53
hypocenterC53#62092
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #20289224C2semidirect
2. #20288727C2semidirect
3. #20287788C2semidirect
4. #20287780C2semidirect
5. #20287530C2semidirect
6. #20287524C2semidirect
7. #20286941C2semidirect
8. #20286939C2semidirect
9. #20286873C2semidirect
10. #20286871C2semidirect
11. #20286787C2semidirect
12. #20286785C2semidirect
13. #20286372C2semidirect
14. #20286366C2semidirect
15. #20286226C2semidirect
16. #20286210C2semidirect
17. #20286203C2semidirect
18. #20286177C2semidirect
19. #20286172C2semidirect
20. #20286099C2semidirect
21. #20285815C2semidirect
22. #20285813C2semidirect
23. #20285713C2semidirect
24. #20284945C2semidirect
25. #20284937C2semidirect
26. #20284864C2semidirect
27. #20284238C2semidirect
28. #20284233C2semidirect
29. #20284206C2semidirect
30. #20283881C2semidirect
31. C53×#3266C2semidirect
32. C2×#13133249C22semidirect
33. C2×#13133248C22semidirect
35. C22×#11719924C22semidirect
40. Q8×Dic106C22semidirect
42. #16811347C22semidirect
45. #16811344C22semidirect
46. #16811344C22semidirect
48. #16811338C22semidirect
49. #16811284C22semidirect
50. #16811284C22semidirect
61. #16811246C22semidirect
62. #16811246C22semidirect
71. #16811178C22semidirect
76. #16811101C22semidirect
77. #16811101C22semidirect
78. C4×#11719949C22semidirect
79. #16811015C22semidirect
82. #16811008C22semidirect
83. #16811004C22semidirect
84. #16810984C22semidirect
85. #16810983C22semidirect
86. #16810982C22semidirect
87. #16810981C22semidirect
90. #16810965C22semidirect
91. #16810961C22semidirect
92. #16810950C22semidirect
94. #16810946C22semidirect
96. #16810917C22semidirect
97. #16810916C22semidirect
98. #16810916C22semidirect
99. #16810916C22semidirect
100. #16810906C22semidirect
101. #16810904C22semidirect
102. #16810903C22semidirect
103. #16810902C22semidirect
104. #16810902C22semidirect
105. #16810901C22semidirect
106. #16810872C22semidirect
107. #16810872C22semidirect
109. #16810871C22semidirect
110. #16810869C22semidirect
111. #16810866C22semidirect
112. #16810866C22semidirect
113. #16810862C22semidirect
116. #16810848C22semidirect
117. #16810847C22semidirect
118. #16810847C22semidirect
119. #16810847C22semidirect
120. #16810847C22semidirect
121. #16810847C22semidirect
122. #16810847C22semidirect
123. #16810845C22semidirect
124. #16810843C22semidirect
125. #16810843C22semidirect
126. #16810843C22semidirect
127. #16810843C22semidirect
128. #16810843C22semidirect
129. #16810841C22semidirect
130. #16810841C22semidirect
131. #16810840C22semidirect
132. #16810839C22semidirect
133. #16810837C22semidirect
134. #16810835C22semidirect
135. #16810825C22semidirect
140. #16810821C22semidirect
141. #16810821C22semidirect
142. #16810821C22semidirect
143. #16810817C22semidirect
144. #16810783C22semidirect
145. #16810779C22semidirect
146. #16810777C22semidirect
147. #16810777C22semidirect
148. #16810773C22semidirect
151. #16810771C22semidirect
152. #16810770C22semidirect
153. #16810768C22semidirect
154. #16810767C22semidirect
156. #16810759C22semidirect
157. #16810757C22semidirect
158. #16810752C22semidirect
159. #16810751C22semidirect
160. #16810736C22semidirect
161. #16810733C22semidirect
162. #16810730C22semidirect
163. #16810727C22semidirect
164. #16810726C22semidirect
165. #16810724C22semidirect
166. #16810721C22semidirect
167. Q16×Dic53C22semidirect
168. #16810715C22semidirect
169. SD16×Dic53C22semidirect
170. #16810708C22semidirect
171. #16810699C22semidirect
172. #16810698C22semidirect
173. #16810695C22semidirect
174. #16810694C22semidirect
175. #16810691C22semidirect
176. #16810681C22semidirect
177. #16810681C22semidirect
178. #16810678C22semidirect
179. #16810651C22semidirect
180. #16810649C22semidirect
181. #16810645C22semidirect
182. #16810630C22semidirect
183. #16810629C22semidirect
184. #16810628C22semidirect
186. #16810620C22semidirect
187. #16810619C22semidirect
188. C2×#137×C53C22semidirect
189. C22×SD16×C53C22semidirect
190. D4×Q8×C53C22semidirect
192. C53×#497C22semidirect
194. C53×#467C22semidirect
195. C53×#464C22semidirect
196. C53×#461C22semidirect
197. C53×#452C22semidirect
198. C53×#451C22semidirect
199. C53×#450C22semidirect
201. C53×#440C22semidirect
202. C53×#435C22semidirect
891. #3266D53semidirect
920. C2×#137C2×D53semidirect
923. C22×SD16C2×D53semidirect
937. D4×Q8C2×D53semidirect
970. #497C2×D53semidirect
1006. #467C2×D53semidirect
1022. #464C2×D53semidirect
1030. #461C2×D53semidirect
1040. #452C2×D53semidirect
1044. #451C2×D53semidirect
1048. #450C2×D53semidirect
1066. #440C2×D53semidirect
1076. #435C2×D53semidirect
1089. C53#62092semidirect

Maximal subgroups

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

subgroupindex
#202892242
#202887272
#202877882
#202877802
#202875302
#202875242
#202869412
#202869392
#202868732
#202868712
#202867872
#202867852
#202863722
#202863662
#202862262
#202862102
#202862032
#202861772
#202861722
#202860992
#202858152
#202858132
#202857132
#202849452
#202849372
#202848642
#202842382
#202842332
#202842062
#202838812
C53×#32662
#6209253