Finite Group Databasebeta

← #28269597

Subgroups — #28269597

Order 13568.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288511C211yesmaximal, characteristic, complemented
2#20288198C211yesmaximal, characteristic
3#20287051C211yesmaximal, characteristic, complemented
4#20287029C211yesmaximal, characteristic, complemented
5#20286832C211yesmaximal, characteristic, complemented
6#20286829C211yesmaximal, characteristic, complemented
7#20286802C211yesmaximal, characteristic, complemented
8#20286799C211yesmaximal, characteristic, complemented
9#20286586C211yesmaximal, characteristic, complemented
10#20286534C211yesmaximal, characteristic, complemented
11#20286464C211yesmaximal, characteristic, complemented
12#20286408C211yesmaximal, characteristic, complemented
13#20286379C211yesmaximal, characteristic, complemented
14#20286354C211yesmaximal, characteristic, complemented
15#20286288C211yesmaximal, characteristic, complemented
16#20286282C211yesmaximal, characteristic, complemented
17#20286228C211yesmaximal, characteristic, complemented
18#20286222C211yesmaximal, characteristic, complemented
19#20285723C211yesmaximal, characteristic, complemented
20#20285669C211yesmaximal, characteristic, complemented
21#20285549C211yesmaximal, characteristic, complemented
22#20285541C211yesmaximal, characteristic, complemented
23#20285500C211yesmaximal, characteristic, complemented
24#20284872C211yesmaximal, characteristic, complemented
25#20284781C211yesmaximal, characteristic, complemented
26#20283973C211yesmaximal, characteristic, complemented
27#20283972C211yesmaximal, characteristic, complemented
28C2×#16810787C211yesmaximal, characteristic, complemented
29#452×D53C211yesmaximal, characteristic, complemented
30#20283746C211yesmaximal, characteristic, complemented
31C53×#3190C211yesmaximal, characteristic, complemented
32C22×#11719945C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic
34C2×#13133249C2211yescharacteristic, complemented
35C2×#13133248C2211yescharacteristic, complemented
36C2×#13133248C2211yescharacteristic, complemented
37C2×#13133246C2211yescharacteristic, complemented
38C22×Dic212C2211yescharacteristic, complemented
39C2×Q16×D53C2211yescharacteristic, complemented
40C22×#11719913C2211yescharacteristic, complemented
41C2×SD16×D53C2211yescharacteristic, complemented
42#16811331C2211yescharacteristic
43#16811331C2211yescharacteristic, complemented
44#16811328—21no—
45#16811328—21no—
46#16811328C2211yescharacteristic, complemented
47#16811328C2211yescharacteristic, complemented
48#16811327—21no—
49#16811327—21no—
50#16811291C2211yescharacteristic
51Q8×C22⋊D53C2211yescharacteristic, complemented
52Q8×C22⋊D53C2211yescharacteristic, complemented
53#16811286C2211yescharacteristic
54#16811286C2211yescharacteristic
55#16811286C2211yescharacteristic, complemented
56#16811283C2211yescharacteristic
57#16811279C2211yescharacteristic
58#16811275C2211yescharacteristic
59#16811271—21no—
60#16811270C2211yescharacteristic
61#16811265—21no—
62#16811264C2211yescharacteristic
63#16811260—21no—
64#16811257C2211yescharacteristic
65#16811255—21no—
66#16811252—21no—
67#16811249—21no—
68#16811248—21no—
69#16811175C2211yescharacteristic, complemented
70#16811175C2211yescharacteristic, complemented
71#16811170—21no—
72#16811169C2211yescharacteristic
73#16811135C2211yescharacteristic
74#16811132—21no—
75#16811132—21no—
76C2×#13133196C2211yescharacteristic, complemented
77C22⋊Q8×D53C2211yescharacteristic, complemented
78C22⋊Q8×D53C2211yescharacteristic, complemented
79#16811096—21no—
80#16811091C2211yescharacteristic
81C2×C4×C22⋊D53C2211yescharacteristic
82C4×D4×D53—21no—
83#16811016C2211yescharacteristic, complemented
84#16811014C2211yescharacteristic, complemented
85#16811001C2211yescharacteristic, complemented
86#16810994C2211yescharacteristic, complemented
87#16810984C2211yescharacteristic, complemented
88#16810981C2211yescharacteristic, complemented
89#16810972C2211yescharacteristic, complemented
90#16810968C2211yescharacteristic, complemented
91#16810964C2211yescharacteristic, complemented
92#16810964C2211yescharacteristic, complemented
93#16810960C2211yescharacteristic, complemented
94#16810956C2211yescharacteristic, complemented
95#16810955C2211yescharacteristic, complemented
96#16810943C2211yescharacteristic, complemented
97#16810939C2211yescharacteristic, complemented
98#16810938C2211yescharacteristic, complemented
99#16810917C2211yescharacteristic, complemented
100#16810912C2211yescharacteristic, complemented
101#16810907C2211yescharacteristic, complemented
102#16810902C2211yescharacteristic, complemented
103#16810882C2211yescharacteristic, complemented
104#16810880C2211yescharacteristic, complemented
105#16810879C2211yescharacteristic, complemented
106#16810879C2211yescharacteristic, complemented
107#16810872C2211yescharacteristic, complemented
108#16810870C2211yescharacteristic, complemented
109#16810867C2211yescharacteristic, complemented
110#16810867C2211yescharacteristic, complemented
111#16810865C2211yescharacteristic, complemented
112#16810863C2211yescharacteristic, complemented
113#16810855C2211yescharacteristic, complemented
114#16810853C2211yescharacteristic, complemented
115#16810848C2211yescharacteristic, complemented
116#16810847C2211yescharacteristic, complemented
117#16810844C2211yescharacteristic, complemented
118#16810843C2211yescharacteristic, complemented
119#16810832C2211yescharacteristic, complemented
120#16810832C2211yescharacteristic, complemented
121#16810832C2211yescharacteristic, complemented
122#16810831C2211yescharacteristic, complemented
123#16810827C2211yescharacteristic, complemented
124#16810827C2211yescharacteristic, complemented
125#16810822C2211yescharacteristic, complemented
126#16810821C2211yescharacteristic, complemented
127#16810788C2211yescharacteristic, complemented
128#16810787C2211yescharacteristic
129#16810787C2211yescharacteristic
130#16810787C2211yescharacteristic, complemented
131#16810787C2211yescharacteristic, complemented
132#16810787C2211yescharacteristic, complemented
133#16810787C2211yescharacteristic, complemented
134#16810787C2211yescharacteristic, complemented
135#16810787C2211yescharacteristic, complemented
136#16810786C2211yescharacteristic, complemented
137#16810785C2211yescharacteristic, complemented
138#16810785C2211yescharacteristic, complemented
139#16810784C2211yescharacteristic, complemented
140#16810783C2211yescharacteristic
141#16810783C2211yescharacteristic
142#16810783C2211yescharacteristic, complemented
143#16810783C2211yescharacteristic, complemented
144#16810782C2211yescharacteristic, complemented
145#16810780C2211yescharacteristic, complemented
146#16810780C2211yescharacteristic, complemented
147#16810780C2211yescharacteristic, complemented
148#16810778C2211yescharacteristic, complemented
149#16810778C2211yescharacteristic, complemented
150#16810778C2211yescharacteristic, complemented
151#16810777C2211yescharacteristic, complemented
152#16810775C2211yescharacteristic, complemented
153#16810773C2211yescharacteristic, complemented
154#16810773C2211yescharacteristic, complemented
155#16810772C2211yescharacteristic, complemented
156#16810763C2211yescharacteristic, complemented
157#16810763C2211yescharacteristic, complemented
158#16810761C2211yescharacteristic, complemented
159#16810729C2211yescharacteristic, complemented
160#16810727C2211yescharacteristic, complemented
161#16810726C2211yescharacteristic, complemented
162#16810722C2211yescharacteristic, complemented
163#16810717C2211yescharacteristic, complemented
164#16810715C2211yescharacteristic, complemented
165#16810710C2211yescharacteristic, complemented
166#16810708C2211yescharacteristic, complemented
167#16810698C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic, complemented
169#16810697C2211yescharacteristic, complemented
170#16810697C2211yescharacteristic, complemented
171#16810694C2211yescharacteristic, complemented
172#16810694C2211yescharacteristic, complemented
173C8×C22⋊D53C2211yescharacteristic
174C8×C22⋊D53C2211yescharacteristic
175#16810677C2211yescharacteristic, complemented
176#16810673C2211yescharacteristic, complemented
177#16810623C2211yescharacteristic, complemented
178#16810622C2211yescharacteristic, complemented
179#16810622C2211yescharacteristic, complemented
180#16810621C2211yescharacteristic, complemented
181C2×#13133142C2211yescharacteristic, complemented
182#103×D53C2211yescharacteristic, complemented
183C2×#13133139C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810587C2211yescharacteristic, complemented
186#16810585C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C53×#525C2211yescharacteristic
189C2×C22⋊Q8×C53C2211yescharacteristic, complemented
190C53×#485C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#483C2211yescharacteristic, complemented
193C53×#480C2211yescharacteristic, complemented
194C53×#467C2211yescharacteristic, complemented
195C53×#467C2211yescharacteristic, complemented
196C53×#465C2211yescharacteristic, complemented
197C53×#465C2211yescharacteristic, complemented
198C53×#452C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#451C2211yescharacteristic, complemented
201C53×#448C2211yescharacteristic, complemented
202C2×C22⋊C8×C53C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945—21no—
206C2×#11719945—21no—
207C2×#11719945—42no—
208C2×#11719945—42no—
209C2×#11719945C2311yescharacteristic
210C2×#11719945C2311yescharacteristic
211C2×#11719945C2311yescharacteristic
212C2×#11719945C2311yescharacteristic
213C2×#11719947—21no—
214C2×#11719947C2311yescharacteristic
215#41×D53—42no—
216#41×D53—42no—
217C22×Dic106C2311yescharacteristic
218C22×Dic106C2311yescharacteristic
219C2×Q8×D53C2311yescharacteristic
220C2×Q8×D53C2311yescharacteristic
221C2×Q8×D53C2311yescharacteristic
222C22×D212C2311yescharacteristic
223C22×C22⋊D53—21no—
224C22×C22⋊D53D411yescharacteristic
225C2×D4×D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53C2311yescharacteristic
228C22×C4×D53—21no—
229C22×C4×D53—21no—
230C22×C4×D53C2311yescharacteristic
231#13133249—42no—
232#13133248—42no—
233#13133248—42no—
234#13133246—42no—
235C2×Dic212—42no—
236C2×Dic212C2311yescharacteristic
237C2×Dic212C2311yescharacteristic
238C2×Dic212C2311yescharacteristic
239C2×Dic212C2311yescharacteristic
240C2×#11719925C2311yescharacteristic
241C2×#11719925C2311yescharacteristic
242C2×#11719925C2311yescharacteristic
243C2×#11719925C2311yescharacteristic
244C2×#11719925C2311yescharacteristic
245C2×#11719925C2311yescharacteristic
246Q16×D53—42no—
247C2×#11719913—42no—
248C2×#11719913C2311yescharacteristic
249C2×#11719913C2311yescharacteristic
250C2×#11719913C2311yescharacteristic
251C2×#11719913C2311yescharacteristic
252C2×#11719923C2311yescharacteristic
253C2×#11719923C2311yescharacteristic
254C2×#11719924C2311yescharacteristic
255C2×#11719924C2311yescharacteristic
256C2×#11719924C2311yescharacteristic
257C2×#11719924C2311yescharacteristic
258SD16×D53—42no—
259C2×#11719917C2311yescharacteristic
260C2×#11719917C2311yescharacteristic
261C2×#11719912C2311yescharacteristic
262C2×#11719912C2311yescharacteristic
263C2×C8×D53C2311yescharacteristic
264C2×C8×D53C2311yescharacteristic
265#13133216—21no—
266#13133216—21no—
267#13133216—21no—
268#13133216C2311yescharacteristic
269#13133216C2311yescharacteristic
270#13133215—21no—
271#13133215—21no—
272#13133215C2311yescharacteristic
273#13133215C2311yescharacteristic
274#13133215C2311yescharacteristic
275#13133213—21no—
276#13133213C2311yescharacteristic
277#13133207—21no—
278#13133207—21no—
279#13133207—21no—
280#13133207—21no—
281#13133207—21no—
282#13133207—21no—
283#13133206C2311yescharacteristic
284#13133204C2311yescharacteristic
285#13133203—21no—
286#13133203—21no—
287#13133202—21no—
288#13133202—21no—
289#13133201—21no—
290#13133199—21no—
291#13133199—21no—
292#13133197—21no—
293#13133197—21no—
294#13133197C2311yescharacteristic
295#13133197C2311yescharacteristic
296#13133197C2311yescharacteristic
297#13133197C2311yescharacteristic
298#13133196—21no—
299#13133196—21no—
300#13133196—21no—
301#13133196—21no—
302#13133196—21no—
303#13133196—21no—
304#13133196C2311yescharacteristic
305#13133196C2311yescharacteristic
306#13133196C2311yescharacteristic
307#13133196C2311yescharacteristic
308#13133195—21no—
309#13133195—21no—
310#13133195—21no—
311#13133195—21no—
312#13133195—21no—
313#13133195—21no—
314#13133195—21no—
315#13133195—21no—
316#13133194—21no—
317#13133194—21no—
318#13133194—21no—
319#13133194—21no—
320#13133194—21no—
321#13133194—21no—
322#13133194—21no—
323#13133194—21no—
324#13133194—21no—
325#13133194—21no—
326#13133193—21no—
327#13133193—21no—
328#13133193C2311yescharacteristic
329#13133193C2311yescharacteristic
330#13133192—21no—
331#13133192C2311yescharacteristic
332#13133192C2311yescharacteristic
333#13133190—21no—
334#13133190—21no—
335#13133190—21no—
336#13133190—21no—
337#13133189—21no—
338#13133189—21no—
339#13133189—21no—
340#13133189—21no—
341#13133188—21no—
342#13133187—21no—
343#13133187—21no—
344#13133187—21no—
345#13133185—21no—
346#13133185—21no—
347Q8×Dic53C2311yescharacteristic
348Q8×Dic53C2311yescharacteristic
349#13133182—21no—
350#13133182—21no—
351#13133182C2311yescharacteristic
352#13133182C2311yescharacteristic
353#13133182C2311yescharacteristic
354#13133182C2311yescharacteristic
355C4×D212—21no—
356C4×D212—21no—
357D4×Dic53—21no—
358#13133179—21no—
359#13133179C2311yescharacteristic
360#13133179C2311yescharacteristic
361C4×C22⋊D53—21no—
362C4×C22⋊D53—21no—
363C4×C22⋊D53—21no—
364C4×C22⋊D53—21no—
365C4×C22⋊D53—21no—
366C4×C22⋊D53—21no—
367C4×C22⋊D53D411yescharacteristic
368C4×C22⋊D53D411yescharacteristic
369C4×C22⋊D53D411yescharacteristic
370C4×C22⋊D53D411yescharacteristic
371C4×C22⋊D53C2311yescharacteristic
372C4×C22⋊D53C2311yescharacteristic
373C4×C22⋊D53C2311yescharacteristic
374C4×C22⋊D53C2311yescharacteristic
375#13133177—21no—
376#13133177—21no—
377#13133177—21no—
378#13133177—21no—
379#13133177—21no—
380#13133177—21no—
381#13133177—21no—
382#13133177—21no—
383#13133174—21no—
384#13133173—21no—
385#13133173—21no—
386C2×C4⋊Dic53C2311yescharacteristic
387C2×#11719919—21no—
388C2×#11719919D411yescharacteristic
389C4⋊C4×D53—21no—
390C4⋊C4×D53—21no—
391C4⋊C4×D53—21no—
392C4⋊C4×D53C2311yescharacteristic
393C4⋊C4×D53C2311yescharacteristic
394C2×C22⋊Dic53—21no—
395C2×C22⋊Dic53D411yescharacteristic
396C2×#11719921D411yescharacteristic
397C22⋊C4×D53—21no—
398C22⋊C4×D53—21no—
399C22⋊C4×D53—21no—
400C22⋊C4×D53—21no—
401C2×C4×Dic53C2311yescharacteristic
402C42×D53—21no—
403#13133150C2311yescharacteristic
404#13133150C2311yescharacteristic
405#13133148C2311yescharacteristic
406#13133148C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133142C2311yescharacteristic
415#13133141C2311yescharacteristic
416#13133141C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133140C2311yescharacteristic
422#13133140C2311yescharacteristic
423#13133140C2311yescharacteristic
424#13133140C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133139C2311yescharacteristic
427#13133139C2311yescharacteristic
428#13133139C2311yescharacteristic
429#13133138C2311yescharacteristic
430#13133138C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434#13133137C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437C22⋊#88322C2311yescharacteristic
438C22⋊#88322C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133129C2311yescharacteristic
443#13133127C2311yescharacteristic
444#13133127C2311yescharacteristic
445C8×Dic53C2311yescharacteristic
446C8×Dic53C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C22×Q8×C53C2311yescharacteristic
449C23×C4×C53C2311yescharacteristic
450C2×Q16×C53C2311yescharacteristic
451C2×Q16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×SD16×C53C2311yescharacteristic
454C22×C8×C53C2311yescharacteristic
455C22×C8×C53C2311yescharacteristic
456#123×C53—21no—
457C22⋊Q8×C53—21no—
458C22⋊Q8×C53—21no—
459C22⋊Q8×C53C2311yescharacteristic
460C22⋊Q8×C53C2311yescharacteristic
461C22⋊Q8×C53C2311yescharacteristic
462C22⋊Q8×C53C2311yescharacteristic
463C22⋊Q8×C53C2311yescharacteristic
464C22⋊Q8×C53C2311yescharacteristic
465#121×C53C2311yescharacteristic
466#121×C53C2311yescharacteristic
467#120×C53—21no—
468C4×D4×C53—21no—
469C4×D4×C53—21no—
470#117×C53C2311yescharacteristic
471C2×C4⋊C4×C53—21no—
472C2×C4⋊C4×C53C2311yescharacteristic
473C2×C22⋊C4×C53—21no—
474#107×C53C2311yescharacteristic
475#107×C53C2311yescharacteristic
476#106×C53C2311yescharacteristic
477#106×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#103×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#103×C53C2311yescharacteristic
483#103×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489C22⋊C8×C53C2311yescharacteristic
490C24×C53C2×D411yescharacteristic
491C23×D53—21no—
492C23×D53—21no—
493C23×D53C2×D411yescharacteristic
494#41×C53—41no—
495#41×C53—41no—
496C2×Q8×C53—21no—
497C2×Q8×C53—41no—
498C2×Q8×C53—41no—
499C2×Q8×C53C2411yescharacteristic
500C2×Q8×C53C2411yescharacteristic
501C2×Q8×C53C2411yescharacteristic
502C2×D4×C53—21no—
503C2×D4×C53—21no—
504C2×D4×C53—21no—
505C2×D4×C53C2411yescharacteristic
506C22×C4×C53—21no—
507C22×C4×C53—21no—
508C22×C4×C53—21no—
509C22×C4×C53—41no—
510C22×C4×C53—41no—
511C22×C4×C53C2×D411yescharacteristic
512C22×C4×C53C2×D411yescharacteristic
513C22×C4×C53C2×D411yescharacteristic
514C22×C4×C53C2411yescharacteristic
515C22×C4×C53C2411yescharacteristic
516C22×C4×C53C2411yescharacteristic
517C2×C22⋊D53—21no—
518C2×C22⋊D53—24no—
519C2×C22⋊D53—21no—
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—44no—
527C2×C22⋊D53C2×D411yescharacteristic
528C2×C22⋊D53C2×D411yescharacteristic
529C2×C22⋊D53C2×D411yescharacteristic
530C2×C22⋊D53C2×D411yescharacteristic
531C22×Dic53—21no—
532C22×Dic53—21no—
533C22×Dic53—21no—
534C22×Dic53—21no—
535C22×Dic53C2×D411yescharacteristic
536C22×Dic53C2×D411yescharacteristic
537C22×Dic53C2×D411yescharacteristic
538#11719949—22no—
539#11719949—41no—
540Q8×D53—22no—
541Q8×D53—41no—
542Q8×D53—41no—
543Q8×D53—41no—
544Q8×D53—41no—
545Q8×D53—41no—
546#11719947—22no—
547#11719947—41no—
548#11719947—44no—
549D4×D53—22no—
550D4×D53—41no—
551D4×D53—44no—
552D4×D53—44no—
553#11719945—22no—
554#11719945—22no—
555#11719945—22no—
556#11719945—22no—
557#11719945—41no—
558#11719945—41no—
559#11719945—41no—
560#11719945—41no—
561#11719945—44no—
562#11719945—44no—
563#11719945—44no—
564C2×D212—22no—
565C2×D212—21no—
566C2×D212—21no—
567C2×D212—21no—
568C2×D212—21no—
569C2×D212—41no—
570C2×D212C2411yescharacteristic
571C2×D212C2411yescharacteristic
572C2×C4×D53—21no—
573C2×C4×D53—21no—
574C2×C4×D53—21no—
575C2×C4×D53—21no—
576C2×C4×D53—21no—
577C2×C4×D53—21no—
578C2×C4×D53—21no—
579C2×C4×D53—21no—
580C2×C4×D53—21no—
581C2×C4×D53—21no—
582C2×C4×D53—21no—
583C2×C4×D53—21no—
584C2×C4×D53—41no—
585C2×C4×D53—41no—
586C2×C4×D53—44no—
587C2×C4×D53—44no—
588C2×C4×D53C2×D411yescharacteristic
589C2×C4×D53C2×D411yescharacteristic
590C2×C4×D53C2411yescharacteristic
591C2×C4×D53C2411yescharacteristic
592C2×Dic106—22no—
593C2×Dic106—21no—
594C2×Dic106—21no—
595C2×Dic106—21no—
596C2×Dic106—21no—
597C2×Dic106—21no—
598C2×Dic106—21no—
599C2×Dic106—21no—
600C2×Dic106—41no—
601C2×Dic106—41no—
602C2×Dic106—41no—
603C2×Dic106C2411yescharacteristic
604C2×Dic106C2411yescharacteristic
605C2×Dic106C2411yescharacteristic
606C2×Dic106C2411yescharacteristic
607Q16×C53—41no—
608Q16×C53—41no—
609SD16×C53—41no—
610SD16×C53—41no—
611C2×C8×C53—41no—
612C2×C8×C53—41no—
613C2×C8×C53C2411yescharacteristic
614C2×C8×C53C2411yescharacteristic
615C2×C8×C53C2411yescharacteristic
616C2×C8×C53C2411yescharacteristic
617C4⋊C4×C53—21no—
618C4⋊C4×C53—21no—
619C4⋊C4×C53—21no—
620C4⋊C4×C53—21no—
621C4⋊C4×C53—21no—
622C4⋊C4×C53—21no—
623C4⋊C4×C53—21no—
624C4⋊C4×C53C2411yescharacteristic
625C4⋊C4×C53C2411yescharacteristic
626C4⋊C4×C53C2411yescharacteristic
627C4⋊C4×C53C2411yescharacteristic
628C22⋊C4×C53—21no—
629C22⋊C4×C53—21no—
630C22⋊C4×C53—21no—
631C22⋊C4×C53—21no—
632C22⋊C4×C53—21no—
633C22⋊C4×C53—21no—
634C22⋊C4×C53—21no—
635C22⋊C4×C53—21no—
636C22⋊C4×C53—21no—
637C42×C53—21no—
638C22⋊Dic53—21no—
639C22⋊Dic53—21no—
640C22⋊Dic53—21no—
641C22⋊Dic53—21no—
642C22⋊Dic53—21no—
643C22⋊Dic53—21no—
644C22⋊Dic53C2×D411yescharacteristic
645C22⋊Dic53C2×D411yescharacteristic
646C22⋊Dic53C2×D411yescharacteristic
647C22⋊Dic53C2×D411yescharacteristic
648#11719925—22no—
649#11719925—22no—
650#11719925—41no—
651#11719925—41no—
652#11719925—41no—
653#11719925—41no—
654#11719924—22no—
655#11719924—22no—
656#11719924—41no—
657#11719924—41no—
658#11719923—41no—
659#11719923—41no—
660#11719921—21no—
661#11719921—21no—
662#11719921—21no—
663#11719921—21no—
664#11719921—21no—
665#11719921—21no—
666#11719921—21no—
667#11719921—21no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
672#11719921C2×D411yescharacteristic
673#11719921C2×D411yescharacteristic
674#11719921C2×D411yescharacteristic
675#11719921C2×D411yescharacteristic
676C4⋊Dic53—21no—
677C4⋊Dic53—21no—
678C4⋊Dic53—21no—
679C4⋊Dic53—21no—
680C4⋊Dic53—21no—
681C4⋊Dic53—21no—
682C4⋊Dic53—21no—
683C4⋊Dic53C2411yescharacteristic
684C4⋊Dic53C2411yescharacteristic
685#11719919—21no—
686#11719919—21no—
687#11719919—21no—
688#11719919—21no—
689#11719919—21no—
690#11719919—21no—
691#11719919—21no—
692#11719919—21no—
693#11719919—21no—
694#11719919—21no—
695#11719919—21no—
696#11719919—21no—
697#11719919—21no—
698#11719919—21no—
699#11719919—21no—
700#11719919—21no—
701#11719919—21no—
702#11719919—21no—
703#11719919—21no—
704#11719919—21no—
705#11719919C2×D411yescharacteristic
706#11719919C2×D411yescharacteristic
707#11719919C2×D411yescharacteristic
708#11719919C2×D411yescharacteristic
709C4×Dic53—21no—
710C4×Dic53—21no—
711C4×Dic53—21no—
712C4×Dic53—21no—
713C4×Dic53—21no—
714C4×Dic53—21no—
715C4×Dic53C2×D411yescharacteristic
716C4×Dic53C2×D411yescharacteristic
717C4×Dic53C2411yescharacteristic
718C4×Dic53C2411yescharacteristic
719#11719917—41no—
720#11719917—41no—
721C2×#88322C2411yescharacteristic
722C2×#88322C2411yescharacteristic
723C2×#88322C2411yescharacteristic
724C2×#88322C2411yescharacteristic
725Dic212—22no—
726Dic212—22no—
727Dic212—41no—
728Dic212—41no—
729#11719913—22no—
730#11719913—22no—
731#11719913—41no—
732#11719913—41no—
733#11719912—41no—
734#11719912—41no—
735C8×D53—41no—
736C8×D53—41no—
737C23×C53—22no—
738C23×C53—21no—
739C23×C53—41no—
740C23×C53—41no—
741C23×C53C22×D411yescharacteristic
742C23×C53C22×D411yescharacteristic
743C23×C53C22×D411yescharacteristic
744C22×D53—21no—
745C22×D53—22no—
746C22×D53—21no—
747C22×D53—41no—
748C22×D53—41no—
749C22×D53—42no—
750C22×D53—42no—
751C22×D53—42no—
752C22×D53—42no—
753C22×D53—81no—
754C22×D53—81no—
755C22×D53C22×D411yescharacteristic
756C22×D53C22×D411yescharacteristic
757Q8×C53—21no—
758Q8×C53—21no—
759Q8×C53—21no—
760Q8×C53—21no—
761Q8×C53—21no—
762Q8×C53—21no—
763Q8×C53—81no—
764D4×C53—21no—
765D4×C53—21no—
766D4×C53—42no—
767D4×C53—42no—
768D4×C53—81no—
769C2×C4×C53—21no—
770C2×C4×C53—21no—
771C2×C4×C53—21no—
772C2×C4×C53—21no—
773C2×C4×C53—21no—
774C2×C4×C53—21no—
775C2×C4×C53—21no—
776C2×C4×C53—21no—
777C2×C4×C53—21no—
778C2×C4×C53—21no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—21no—
782C2×C4×C53—41no—
783C2×C4×C53—41no—
784C2×C4×C53—41no—
785C2×C4×C53—42no—
786C2×C4×C53—81no—
787C2×C4×C53—81no—
788C2×C4×C53C22×D411yescharacteristic
789C2×C4×C53C22×D411yescharacteristic
790C2×C4×C53C22×D411yescharacteristic
791C2×C4×C53C2511yescharacteristic
792C22⋊D53—24no—
793C22⋊D53—22no—
794C22⋊D53—22no—
795C22⋊D53—22no—
796C22⋊D53—42no—
797C22⋊D53—42no—
798C22⋊D53—42no—
799C22⋊D53—42no—
800C22⋊D53—42no—
801C22⋊D53—42no—
802C22⋊D53—81no—
803C22⋊D53#13714yescomplemented
804C2×Dic53—21no—
805C2×Dic53—22no—
806C2×Dic53—21no—
807C2×Dic53—21no—
808C2×Dic53—21no—
809C2×Dic53—21no—
810C2×Dic53—21no—
811C2×Dic53—41no—
812C2×Dic53—41no—
813C2×Dic53—42no—
814C2×Dic53—42no—
815C2×Dic53—81no—
816C2×Dic53—81no—
817C2×Dic53C22×D411yescharacteristic
818C2×Dic53C22×D411yescharacteristic
819C2×Dic53C22×D411yescharacteristic
820C2×Dic53C22×D411yescharacteristic
821C2×Dic53C22×D411yescharacteristic
822C2×Dic53C22×D411yescharacteristic
823D212—21no—
824D212—21no—
825D212—21no—
826D212—42no—
827D212—42no—
828D212—42no—
829D212—81no—
830D212H(5,𝔽2)12yes—
831C4×D53—24no—
832C4×D53—21no—
833C4×D53—21no—
834C4×D53—21no—
835C4×D53—21no—
836C4×D53—41no—
837C4×D53—41no—
838C4×D53—42no—
839C4×D53—42no—
840C4×D53—42no—
841C4×D53—42no—
842C4×D53—42no—
843C4×D53—42no—
844C4×D53—81no—
845C4×D53—81no—
846C4×D53—81no—
847C4×D53—81no—
848C4×D53—81no—
849Dic106—21no—
850Dic106—21no—
851Dic106—21no—
852Dic106—21no—
853Dic106—21no—
854Dic106—21no—
855Dic106—21no—
856Dic106—42no—
857Dic106—42no—
858Dic106—81no—
859Dic106—81no—
860Dic106—81no—
861Dic106—81no—
862Dic106—81no—
863Dic106H(5,𝔽2)12yes—
864C8×C53—21no—
865C8×C53—21no—
866C8×C53—21no—
867C8×C53—21no—
868#88322—21no—
869#88322—21no—
870#88322—21no—
871#88322—21no—
872#61607—531nomaximal, Sylow
873C22×C53—21no—
874C22×C53—21no—
875C22×C53—21no—
876C22×C53—21no—
877C22×C53—21no—
878C22×C53—21no—
879C22×C53—21no—
880C22×C53—21no—
881C22×C53—41no—
882C22×C53—41no—
883C22×C53—41no—
884C22×C53—82no—
885C22×C53C2×#13712yes—
886C22×C53C23×D411yescharacteristic
887C2×D53—21no—
888C2×D53—21no—
889C2×D53—21no—
890C2×D53—22no—
891C2×D53—21no—
892C2×D53—21no—
893C2×D53—41no—
894C2×D53—41no—
895C2×D53—41no—
896C2×D53—41no—
897C2×D53—41no—
898C2×D53—82no—
899C2×D53—84no—
900C2×D53—84no—
901C2×D53C2×#13712yes—
902C4×C53—21no—
903C4×C53—21no—
904C4×C53—21no—
905C4×C53—41no—
906C4×C53—41no—
907C4×C53—41no—
908C4×C53—41no—
909C4×C53—41no—
910C4×C53—41no—
911C4×C53—41no—
912C4×C53C2×H(5,𝔽2)11yescharacteristic
913C4×C53C2×H(5,𝔽2)11yescharacteristic
914Dic53—21no—
915Dic53—21no—
916Dic53—22no—
917Dic53—21no—
918Dic53—21no—
919Dic53—21no—
920Dic53—41no—
921Dic53—41no—
922Dic53—41no—
923Dic53—41no—
924Dic53—41no—
925Dic53C2×#13712yes—
926#3501—531no—
927D4×#41—531no—
928#3333—531no—
929#3331—531no—
930#3316—531no—
931#3316—531no—
932#3314—531no—
933#3314—531no—
934#3299—531no—
935#3295—531no—
936D4×Q16—531no—
937D4×SD16—531no—
938#3278—531no—
939#3276—531no—
940#3270—531no—
941#3270—531no—
942#3266—531no—
943#3266—531no—
944#3216—531no—
945#3210—531no—
946#3196—531no—
947#3196—531no—
948#3190—531no—
949#3190D5311yescharacteristic, complemented
950#3116—531no—
951#3107—531no—
952#3007—531no—
953#3007—531no—
954C2×#452—531no—
955C2×#452—531no—
956#2974—531no—
957C2×C53—22no—
958C2×C53—41no—
959C2×C53—41no—
960C2×C53—81no—
961C2×C53#348411yescharacteristic
962C2×C53C22×#13711yescharacteristic
963C2×C53#358411yescharacteristic
964D53—22no—
965D53—41no—
966D53—42no—
967D53—81no—
968C22×#41—531no—
969C22×#41—531no—
970C2×#137—531no—
971C2×#137—531no—
972C2×#137—531no—
973C2×#137—531no—
974C22×Q16—531no—
975C22×Q16—531no—
976C22×SD16—531no—
977C22×SD16—531no—
978#554—531no—
979#554—531no—
980#554—531no—
981#554—531no—
982#554—1061no—
983#554—1061no—
984#554—1061no—
985#554—1061no—
986#550—531no—
987D4×Q8—531no—
988D4×Q8—531no—
989D4×Q8—531no—
990D4×Q8—531no—
991D4×Q8—531no—
992#548—531no—
993#548—531no—
994#547—531no—
995#547—1061no—
996#546—531no—
997#546—531no—
998#546—1061no—
999#546—1061no—
1000D42—531no—
1001D42—1061no—
1002#544—1061no—
1003#543—1061no—
1004#543—1061no—
1005#533—531no—
1006#533—531no—
1007#532—531no—
1008#532—1061no—
1009#525—531no—
1010#525—1061no—
1011#525—1061no—
1012#525C2×D5311yescharacteristic
1013C2×C22⋊Q8—531no—
1014C2×C22⋊Q8—531no—
1015C2×C22⋊Q8—531no—
1016C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1017#518—1061no—
1018C4×#41—531no—
1019C2×C4×D4—531no—
1020C2×C4×D4—1061no—
1021#497—531no—
1022#497—531no—
1023#494—531no—
1024#492—531no—
1025#489—531no—
1026#489—531no—
1027#487—531no—
1028#486—531no—
1029#485—531no—
1030#485—531no—
1031#485C2×D5311yescharacteristic, complemented
1032#485C2×D5311yescharacteristic, complemented
1033#484—531no—
1034#484—531no—
1035#483—531no—
1036#483C2×D5311yescharacteristic, complemented
1037#481—531no—
1038#481—531no—
1039#480—531no—
1040#480C2×D5311yescharacteristic, complemented
1041#477—531no—
1042#476—531no—
1043#475—531no—
1044#474—531no—
1045#470—531no—
1046#470—531no—
1047#470—531no—
1048#470—531no—
1049#468—531no—
1050#468—531no—
1051#468—531no—
1052#468—531no—
1053#467—531no—
1054#467—531no—
1055#467C2×D5311yescharacteristic, complemented
1056#467C2×D5311yescharacteristic, complemented
1057#465—531no—
1058#465—531no—
1059#465C2×D5311yescharacteristic, complemented
1060#465C2×D5311yescharacteristic, complemented
1061#464—531no—
1062#464—531no—
1063#464—531no—
1064#464—531no—
1065#462—531no—
1066#462—531no—
1067#462—531no—
1068#462—531no—
1069#461—531no—
1070#461—531no—
1071#460—531no—
1072#460—531no—
1073#452—531no—
1074#452—531no—
1075#452—531no—
1076#452—531no—
1077#452—531no—
1078#452—531no—
1079#452—531no—
1080#452—531no—
1081#452—531no—
1082#452—531no—
1083#452—531no—
1084#452—531no—
1085#452—531no—
1086#452—531no—
1087#452—531no—
1088#452—531no—
1089#452—531no—
1090#452—531no—
1091#452C2×D5311yescharacteristic, complemented
1092#452C2×D5311yescharacteristic, complemented
1093#451—531no—
1094#451—531no—
1095#451—531no—
1096#451—531no—
1097#451—531no—
1098#451—531no—
1099#451—531no—
1100#451C2×D5311yescharacteristic, complemented
1101#450—531no—
1102#450—531no—
1103#450—531no—
1104#450—531no—
1105#448—531no—
1106#448—531no—
1107#448—531no—
1108#448C2×D5311yescharacteristic, complemented
1109#441—531no—
1110#441—531no—
1111#440—531no—
1112#440—531no—
1113C4×Q16—531no—
1114C4×Q16—531no—
1115C4×SD16—531no—
1116C4×SD16—531no—
1117#436—531no—
1118#436—531no—
1119#435—531no—
1120#435—531no—
1121#435—531no—
1122#435—531no—
1123C8×D4—531no—
1124C8×D4—531no—
1125#432—531no—
1126#431—531no—
1127#417—531no—
1128#417—531no—
1129#417—531no—
1130#417—531no—
1131C2×#103—531no—
1132C2×#103—531no—
1133C2×#102—531no—
1134C2×#102—531no—
1135#407—531no—
1136#407—531no—
1137C2×C22⋊C8—531no—
1138C2×C22⋊C8C2×D5311yescharacteristic, complemented
1139C53#6160711yescharacteristic, complemented, Sylow
1140C2×#41—531no—
1141C2×#41—531no—
1142C2×#41—531no—
1143C2×#41—531no—
1144C2×#41—531no—
1145C2×#41—531no—
1146C2×#41—1061no—
1147C2×#41—1061no—
1148C2×#41—1061no—
1149C2×#41—1061no—
1150C2×#41—2122no—
1151C2×#41—2122no—
1152C2×#41—2122no—
1153C2×#41—2122no—
1154C2×#41C22×D5311yescharacteristic
1155C22×Q8—531no—
1156C22×Q8—531no—
1157C22×Q8—531no—
1158C22×Q8—531no—
1159C22×Q8—531no—
1160C22×Q8C22×D5311yescharacteristic
1161C22×D4—531no—
1162C22×D4—531no—
1163C22×D4—531no—
1164C22×D4—1061no—
1165C22×D4—1061no—
1166C22×D4—1061no—
1167C23×C4—531no—
1168C23×C4—1061no—
1169C23×C4—1061no—
1170C23×C4C22×D5311yescharacteristic
1171#137—2122no—
1172#137—2122no—
1173#137—2122no—
1174#137—2122no—
1175C2×Q16—531no—
1176C2×Q16—531no—
1177C2×Q16—531no—
1178C2×Q16—531no—
1179C2×Q16—531no—
1180C2×Q16—531no—
1181C2×Q16—531no—
1182C2×Q16—531no—
1183C2×Q16—531no—
1184C2×Q16—531no—
1185C2×Q16—2122no—
1186C2×Q16—2122no—
1187C2×Q16C22×D5311yescharacteristic
1188C2×Q16C22×D5311yescharacteristic
1189C2×SD16—531no—
1190C2×SD16—531no—
1191C2×SD16—531no—
1192C2×SD16—531no—
1193C2×SD16—531no—
1194C2×SD16—531no—
1195C2×SD16—531no—
1196C2×SD16—531no—
1197C2×SD16—531no—
1198C2×SD16—531no—
1199C2×SD16—2122no—
1200C2×SD16—2122no—
1201C2×SD16C22×D5311yescharacteristic
1202C2×SD16C22×D5311yescharacteristic
1203C2×M16—531no—
1204C2×M16—531no—
1205C2×M16—531no—
1206C2×M16—531no—
1207C22×C8—531no—
1208C22×C8—531no—
1209C22×C8C22×D5311yescharacteristic
1210C22×C8C22×D5311yescharacteristic
1211C4⋊Q8—531no—
1212C4⋊Q8—531no—
1213C4⋊Q8—531no—
1214C4⋊Q8—531no—
1215C4⋊Q8—531no—
1216C4⋊Q8—1061no—
1217C4⋊Q8—1061no—
1218C4⋊Q8—1061no—
1219C4⋊Q8—1061no—
1220C4⋊Q8—1061no—
1221#127—531no—
1222#127—1061no—
1223#125—1061no—
1224#125—1061no—
1225#125—1061no—
1226#125—1061no—
1227#125—1061no—
1228#125—1061no—
1229#124—531no—
1230#124—531no—
1231#124—1061no—
1232#124—1061no—
1233#123—21no—
1234#123—1061no—
1235#123—1061no—
1236#123—1061no—
1237#123—1061no—
1238#123—1061no—
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—531no—
1242C22⋊Q8—531no—
1243C22⋊Q8—531no—
1244C22⋊Q8—531no—
1245C22⋊Q8—531no—
1246C22⋊Q8—531no—
1247C22⋊Q8—531no—
1248C22⋊Q8—531no—
1249C22⋊Q8—531no—
1250C22⋊Q8—531no—
1251C22⋊Q8—1061no—
1252C22⋊Q8—1061no—
1253C22⋊Q8—1061no—
1254C22⋊Q8—1061no—
1255C22⋊Q8—1061no—
1256C22⋊Q8—1061no—
1257C22⋊Q8—1061no—
1258C22⋊Q8—1061no—
1259C22⋊Q8—1061no—
1260C22⋊Q8—1061no—
1261C22⋊Q8—1061no—
1262C22⋊Q8—1061no—
1263C22⋊Q8—1061no—
1264C22⋊Q8—1061no—
1265C22⋊Q8—1061no—
1266C22⋊Q8—1061no—
1267C22⋊Q8—1061no—
1268C22⋊Q8—1061no—
1269C22⋊Q8—1061no—
1270C22⋊Q8—1061no—
1271C22⋊Q8—1061no—
1272C22⋊Q8—1061no—
1273C22⋊Q8—1061no—
1274C22⋊Q8—1061no—
1275C22⋊Q8—1061no—
1276C22⋊Q8—1061no—
1277C22⋊Q8—1061no—
1278C22⋊Q8—1061no—
1279C22⋊Q8C22×D5311yescharacteristic
1280C22⋊Q8C22×D5311yescharacteristic
1281C22⋊Q8C22×D5311yescharacteristic
1282C22⋊Q8C22×D5311yescharacteristic
1283C22⋊Q8C22×D5311yescharacteristic
1284C22⋊Q8C22×D5311yescharacteristic
1285#121—531no—
1286#121—531no—
1287#121—1061no—
1288#121—1061no—
1289#121—1061no—
1290#121—1061no—
1291#121—1061no—
1292#121—1061no—
1293#121—1061no—
1294#121—1061no—
1295#121—1061no—
1296#121—1061no—
1297#121C22×D5311yescharacteristic
1298#121C22×D5311yescharacteristic
1299#120—21no—
1300#120—1061no—
1301#120—1061no—
1302#120—1061no—
1303#120—1061no—
1304#120—1061no—
1305C4×Q8—531no—
1306C4×Q8—531no—
1307C4×Q8—531no—
1308C4×Q8—531no—
1309C4×Q8—531no—
1310C4×Q8—531no—
1311C4×Q8—1061no—
1312C4×Q8—1061no—
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—531no—
1316C4×D4—531no—
1317C4×D4—531no—
1318C4×D4—531no—
1319C4×D4—531no—
1320C4×D4—531no—
1321C4×D4—531no—
1322C4×D4—531no—
1323C4×D4—531no—
1324C4×D4—531no—
1325C4×D4—1061no—
1326C4×D4—1061no—
1327C4×D4—1061no—
1328C4×D4—1061no—
1329C4×D4—1061no—
1330C4×D4—1061no—
1331C4×D4—1061no—
1332C4×D4—1061no—
1333C4×D4—1061no—
1334C4×D4—1061no—
1335C4×D4—1061no—
1336C4×D4—1061no—
1337C4×D4—1061no—
1338C4×D4—1061no—
1339C4×D4—1061no—
1340C4×D4—1061no—
1341C4×D4—1061no—
1342C4×D4—1061no—
1343#117—1061no—
1344#117—1061no—
1345#117—1061no—
1346#117C22×D5311yescharacteristic
1347C2×C4⋊C4—21no—
1348C2×C4⋊C4—531no—
1349C2×C4⋊C4—531no—
1350C2×C4⋊C4—531no—
1351C2×C4⋊C4—531no—
1352C2×C4⋊C4—1061no—
1353C2×C4⋊C4—1061no—
1354C2×C4⋊C4—1061no—
1355C2×C4⋊C4—1061no—
1356C2×C4⋊C4C22×D5311yescharacteristic
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—531no—
1359C2×C22⋊C4—531no—
1360C2×C22⋊C4—1061no—
1361C2×C22⋊C4—1061no—
1362C2×C22⋊C4—1061no—
1363C2×C22⋊C4—1061no—
1364C2×C22⋊C4—1061no—
1365C2×C42—531no—
1366C2×C42—1061no—
1367#107—531no—
1368#107—531no—
1369#107C22×D5311yescharacteristic
1370#107C22×D5311yescharacteristic
1371#106—531no—
1372#106—531no—
1373#106C22×D5311yescharacteristic
1374#106C22×D5311yescharacteristic
1375C4⋊C8—531no—
1376C4⋊C8—531no—
1377C4⋊C8—531no—
1378C4⋊C8—531no—
1379#103—531no—
1380#103—531no—
1381#103—531no—
1382#103—531no—
1383#103—531no—
1384#103—531no—
1385#103—531no—
1386#103—531no—
1387#103—531no—
1388#103—531no—
1389#103—531no—
1390#103—531no—
1391#103—531no—
1392#103—531no—
1393#103C22×D5311yescharacteristic
1394#103C22×D5311yescharacteristic
1395#103C22×D5311yescharacteristic
1396#103C22×D5311yescharacteristic
1397#103C22×D5311yescharacteristic
1398#103C22×D5311yescharacteristic
1399#102—531no—
1400#102—531no—
1401#102—531no—
1402#102—531no—
1403#102—531no—
1404#102—531no—
1405#102—531no—
1406#102—531no—
1407#102—531no—
1408#102—531no—
1409#102C22×D5311yescharacteristic
1410#102C22×D5311yescharacteristic
1411C22⋊C8—531no—
1412C22⋊C8—531no—
1413C22⋊C8—531no—
1414C22⋊C8—531no—
1415C22⋊C8—531no—
1416C22⋊C8—531no—
1417C22⋊C8—531no—
1418C22⋊C8—531no—
1419C22⋊C8C22×D5311yescharacteristic
1420C22⋊C8C22×D5311yescharacteristic
1421C22⋊C8C22×D5311yescharacteristic
1422C22⋊C8C22×D5311yescharacteristic
1423#97—531no—
1424#97—531no—
1425C4×C8—531no—
1426C4×C8—531no—
1427C24—531no—
1428C24—1061no—
1429C24—1061no—
1430C24D4×D5311yescharacteristic
1431#41—41no—
1432#41—41no—
1433#41—1062no—
1434#41—1062no—
1435#41—1062no—
1436#41—1062no—
1437#41—1062no—
1438#41—1062no—
1439#41—2121no—
1440#41—2121no—
1441#41—2121no—
1442#41—2121no—
1443#41—2124no—
1444#41—2124no—
1445#41—2124no—
1446#41—2121no—
1447#41—2121no—
1448#41—2124no—
1449C2×Q8—21no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—531no—
1453C2×Q8—531no—
1454C2×Q8—531no—
1455C2×Q8—531no—
1456C2×Q8—1061no—
1457C2×Q8—1061no—
1458C2×Q8—1061no—
1459C2×Q8—1061no—
1460C2×Q8—1061no—
1461C2×Q8—1062no—
1462C2×Q8—1061no—
1463C2×Q8—1061no—
1464C2×Q8—1062no—
1465C2×Q8—2121no—
1466C2×Q8—2121no—
1467C2×Q8—2121no—
1468C2×Q8—2121no—
1469C2×Q8—2121no—
1470C2×Q8—2121no—
1471C2×Q8—2121no—
1472C2×Q8—2121no—
1473C2×Q8C23×D5311yescharacteristic
1474C2×Q8C23×D5311yescharacteristic
1475C2×Q8C23×D5311yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—531no—
1480C2×D4—531no—
1481C2×D4—531no—
1482C2×D4—531no—
1483C2×D4—531no—
1484C2×D4—531no—
1485C2×D4—1062no—
1486C2×D4—1061no—
1487C2×D4—1061no—
1488C2×D4—1061no—
1489C2×D4—1061no—
1490C2×D4—1061no—
1491C2×D4—1061no—
1492C2×D4—1062no—
1493C2×D4—1064no—
1494C2×D4—1061no—
1495C2×D4—1061no—
1496C2×D4—1061no—
1497C2×D4—1061no—
1498C2×D4—1061no—
1499C2×D4—1061no—
1500C2×D4—2121no—
1501C2×D4—2121no—
1502C2×D4—2124no—
1503C2×D4—2124no—
1504C2×D4—2124no—
1505C2×D4C23×D5311yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—531no—
1512C22×C4—531no—
1513C22×C4—531no—
1514C22×C4—531no—
1515C22×C4—531no—
1516C22×C4—531no—
1517C22×C4—531no—
1518C22×C4—1061no—
1519C22×C4—1061no—
1520C22×C4—1061no—
1521C22×C4—1061no—
1522C22×C4—1061no—
1523C22×C4—1061no—
1524C22×C4—1061no—
1525C22×C4—1061no—
1526C22×C4—1061no—
1527C22×C4—1061no—
1528C22×C4—1061no—
1529C22×C4—1061no—
1530C22×C4—1061no—
1531C22×C4—1061no—
1532C22×C4—1061no—
1533C22×C4—1061no—
1534C22×C4—2121no—
1535C22×C4—2121no—
1536C22×C4—2124no—
1537C22×C4—2124no—
1538C22×C4D4×D5311yescharacteristic
1539C22×C4D4×D5311yescharacteristic
1540C22×C4D4×D5311yescharacteristic
1541C22×C4C23×D5311yescharacteristic
1542C22×C4C23×D5311yescharacteristic
1543C22×C4C23×D5311yescharacteristic
1544Q16—41no—
1545Q16—41no—
1546Q16—1062no—
1547Q16—1062no—
1548Q16—1062no—
1549Q16—1062no—
1550Q16—2121no—
1551Q16—2121no—
1552Q16—2121no—
1553Q16—2121no—
1554Q16—2121no—
1555Q16—2121no—
1556SD16—41no—
1557SD16—41no—
1558SD16—1062no—
1559SD16—1062no—
1560SD16—1062no—
1561SD16—1062no—
1562SD16—2121no—
1563SD16—2121no—
1564SD16—2121no—
1565SD16—2121no—
1566SD16—2121no—
1567SD16—2121no—
1568M16—2121no—
1569M16—2121no—
1570M16—2121no—
1571M16—2121no—
1572C2×C8—41no—
1573C2×C8—41no—
1574C2×C8—531no—
1575C2×C8—531no—
1576C2×C8—531no—
1577C2×C8—531no—
1578C2×C8—2121no—
1579C2×C8—2121no—
1580C2×C8C23×D5311yescharacteristic
1581C2×C8C23×D5311yescharacteristic
1582C2×C8C23×D5311yescharacteristic
1583C2×C8C23×D5311yescharacteristic
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—531no—
1592C4⋊C4—531no—
1593C4⋊C4—531no—
1594C4⋊C4—531no—
1595C4⋊C4—531no—
1596C4⋊C4—531no—
1597C4⋊C4—1061no—
1598C4⋊C4—1061no—
1599C4⋊C4—1061no—
1600C4⋊C4—1061no—
1601C4⋊C4—1061no—
1602C4⋊C4—1061no—
1603C4⋊C4—1061no—
1604C4⋊C4—1061no—
1605C4⋊C4—1061no—
1606C4⋊C4—1061no—
1607C4⋊C4—1061no—
1608C4⋊C4—1061no—
1609C4⋊C4—1061no—
1610C4⋊C4—1061no—
1611C4⋊C4—1061no—
1612C4⋊C4—1061no—
1613C4⋊C4—1061no—
1614C4⋊C4—1061no—
1615C4⋊C4—1061no—
1616C4⋊C4—1061no—
1617C4⋊C4—1061no—
1618C4⋊C4—1061no—
1619C4⋊C4—1061no—
1620C4⋊C4—1061no—
1621C4⋊C4—1061no—
1622C4⋊C4—1061no—
1623C4⋊C4—1061no—
1624C4⋊C4C23×D5311yescharacteristic
1625C4⋊C4C23×D5311yescharacteristic
1626C4⋊C4C23×D5311yescharacteristic
1627C4⋊C4C23×D5311yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—531no—
1638C22⋊C4—531no—
1639C22⋊C4—531no—
1640C22⋊C4—531no—
1641C22⋊C4—531no—
1642C22⋊C4—531no—
1643C22⋊C4—531no—
1644C22⋊C4—531no—
1645C22⋊C4—1061no—
1646C22⋊C4—1061no—
1647C22⋊C4—1061no—
1648C22⋊C4—1061no—
1649C22⋊C4—1061no—
1650C22⋊C4—1061no—
1651C22⋊C4—1061no—
1652C22⋊C4—1061no—
1653C22⋊C4—1061no—
1654C22⋊C4—1061no—
1655C22⋊C4—1061no—
1656C22⋊C4—1061no—
1657C22⋊C4—1061no—
1658C22⋊C4—1061no—
1659C22⋊C4—1061no—
1660C22⋊C4—1061no—
1661C22⋊C4—1061no—
1662C22⋊C4—1061no—
1663C42—21no—
1664C42—531no—
1665C42—531no—
1666C42—531no—
1667C42—531no—
1668C42—1061no—
1669C42—1061no—
1670C42—1061no—
1671C42—1061no—
1672C42—1061no—
1673C42—1061no—
1674C23—22no—
1675C23—21no—
1676C23—41no—
1677C23—41no—
1678C23—531no—
1679C23—531no—
1680C23—1062no—
1681C23—1061no—
1682C23—1061no—
1683C23—4241no—
1684C23—4241no—
1685C23—2121no—
1686C23—2121no—
1687C23—2122no—
1688C23—2122no—
1689C23—2122no—
1690C23—2122no—
1691C23C2×D4×D5311yescharacteristic
1692C23C2×D4×D5311yescharacteristic
1693C23C2×D4×D5311yescharacteristic
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—81no—
1701Q8—532no—
1702Q8—1061no—
1703Q8—1061no—
1704Q8—1061no—
1705Q8—1061no—
1706Q8—1061no—
1707Q8—1061no—
1708Q8—1061no—
1709Q8—4241no—
1710Q8—4241no—
1711Q8—4241no—
1712Q8—4241no—
1713Q8—4241no—
1714Q8—2122no—
1715Q8—2122no—
1716D4—21no—
1717D4—21no—
1718D4—42no—
1719D4—42no—
1720D4—81no—
1721D4—534no—
1722D4—532no—
1723D4—1062no—
1724D4—1062no—
1725D4—1064no—
1726D4—1062no—
1727D4—1061no—
1728D4—1061no—
1729D4—1061no—
1730D4—4241no—
1731D4—4241no—
1732D4—2122no—
1733D4—2122no—
1734D4—2122no—
1735D4—2122no—
1736D4—2122no—
1737D4—2122no—
1738D4—2122no—
1739D4—2122no—
1740D4—2122no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—42no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4—531no—
1761C2×C4—531no—
1762C2×C4—531no—
1763C2×C4—531no—
1764C2×C4—531no—
1765C2×C4—531no—
1766C2×C4—1064no—
1767C2×C4—1062no—
1768C2×C4—1061no—
1769C2×C4—1061no—
1770C2×C4—1061no—
1771C2×C4—1061no—
1772C2×C4—1061no—
1773C2×C4—1061no—
1774C2×C4—1061no—
1775C2×C4—1061no—
1776C2×C4—1061no—
1777C2×C4—1061no—
1778C2×C4—4241no—
1779C2×C4—4241no—
1780C2×C4—4241no—
1781C2×C4—4241no—
1782C2×C4—4241no—
1783C2×C4—4241no—
1784C2×C4—4241no—
1785C2×C4—2121no—
1786C2×C4—2121no—
1787C2×C4—2122no—
1788C2×C4—2122no—
1789C2×C4—2122no—
1790C2×C4—2122no—
1791C2×C4—2122no—
1792C2×C4—2122no—
1793C2×C4—2121no—
1794C2×C4—2121no—
1795C2×C4—2122no—
1796C2×C4—2122no—
1797C2×C4C2×D4×D5311yescharacteristic
1798C2×C4C2×D4×D5311yescharacteristic
1799C2×C4C2×D4×D5311yescharacteristic
1800C2×C4C24×D5311yescharacteristic
1801C8—21no—
1802C8—21no—
1803C8—21no—
1804C8—21no—
1805C8—1061no—
1806C8—1061no—
1807C8—1061no—
1808C8—1061no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—82no—
1821C22—532no—
1822C22—1061no—
1823C22—1061no—
1824C22—1061no—
1825C22—1062no—
1826C22—1061no—
1827C22—1061no—
1828C22—4244no—
1829C22—4242no—
1830C22—4244no—
1831C22—2121no—
1832C22—2121no—
1833C22—2121no—
1834C22—2121no—
1835C22—2121no—
1836C22#137×D5312yes—
1837C22C22×D4×D5311yescharacteristic
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—532no—
1849C4—1061no—
1850C4—1061no—
1851C4—1062no—
1852C4—1061no—
1853C4—1061no—
1854C4—1061no—
1855C4—2121no—
1856C4—2121no—
1857C4—2121no—
1858C4—2121no—
1859C4—2121no—
1860C4H(5,𝔽2)×D5311yescharacteristic
1861C4H(5,𝔽2)×D5311yescharacteristic
1862C2—22no—
1863C2—41no—
1864C2—41no—
1865C2—81no—
1866C2—1062no—
1867C2—4241no—
1868C2—2121no—
1869C2—2122no—
1870C2#2028834711yescharacteristic
1871C2C2×#137×D5311yescharacteristic
1872C2#2028948411yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3190C2
socleC22×C53C23×D4
prime radical#20288198C2
hypercenter#3190D53
hypocenterC53#61607
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3190

Complements

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

NH ≅ G/Ntype
1. #20288511C2semidirect
3. #20287051C2semidirect
4. #20287029C2semidirect
5. #20286832C2semidirect
6. #20286829C2semidirect
7. #20286802C2semidirect
8. #20286799C2semidirect
9. #20286586C2semidirect
10. #20286534C2semidirect
11. #20286464C2semidirect
12. #20286408C2semidirect
13. #20286379C2semidirect
14. #20286354C2semidirect
15. #20286288C2semidirect
16. #20286282C2semidirect
17. #20286228C2semidirect
18. #20286222C2semidirect
19. #20285723C2semidirect
20. #20285669C2semidirect
21. #20285549C2semidirect
22. #20285541C2semidirect
23. #20285500C2semidirect
24. #20284872C2semidirect
25. #20284781C2semidirect
26. #20283973C2semidirect
27. #20283972C2semidirect
28. C2×#16810787C2semidirect
29. #452×D53C2semidirect
30. #20283746C2semidirect
31. C53×#3190C2semidirect
34. C2×#13133249C22semidirect
35. C2×#13133248C22semidirect
36. C2×#13133248C22semidirect
37. C2×#13133246C22semidirect
38. C22×Dic212C22semidirect
39. C2×Q16×D53C22semidirect
40. C22×#11719913C22semidirect
41. C2×SD16×D53C22semidirect
43. #16811331C22semidirect
46. #16811328C22semidirect
47. #16811328C22semidirect
51. Q8×C22⋊D53C22semidirect
52. Q8×C22⋊D53C22semidirect
55. #16811286C22semidirect
69. #16811175C22semidirect
70. #16811175C22semidirect
76. C2×#13133196C22semidirect
77. C22⋊Q8×D53C22semidirect
78. C22⋊Q8×D53C22semidirect
83. #16811016C22semidirect
84. #16811014C22semidirect
85. #16811001C22semidirect
86. #16810994C22semidirect
87. #16810984C22semidirect
88. #16810981C22semidirect
89. #16810972C22semidirect
90. #16810968C22semidirect
91. #16810964C22semidirect
92. #16810964C22semidirect
93. #16810960C22semidirect
94. #16810956C22semidirect
95. #16810955C22semidirect
96. #16810943C22semidirect
97. #16810939C22semidirect
98. #16810938C22semidirect
99. #16810917C22semidirect
100. #16810912C22semidirect
101. #16810907C22semidirect
102. #16810902C22semidirect
103. #16810882C22semidirect
104. #16810880C22semidirect
105. #16810879C22semidirect
106. #16810879C22semidirect
107. #16810872C22semidirect
108. #16810870C22semidirect
109. #16810867C22semidirect
110. #16810867C22semidirect
111. #16810865C22semidirect
112. #16810863C22semidirect
113. #16810855C22semidirect
114. #16810853C22semidirect
115. #16810848C22semidirect
116. #16810847C22semidirect
117. #16810844C22semidirect
118. #16810843C22semidirect
119. #16810832C22semidirect
120. #16810832C22semidirect
121. #16810832C22semidirect
122. #16810831C22semidirect
123. #16810827C22semidirect
124. #16810827C22semidirect
125. #16810822C22semidirect
126. #16810821C22semidirect
127. #16810788C22semidirect
130. #16810787C22semidirect
131. #16810787C22semidirect
132. #16810787C22semidirect
133. #16810787C22semidirect
134. #16810787C22semidirect
135. #16810787C22semidirect
136. #16810786C22semidirect
137. #16810785C22semidirect
138. #16810785C22semidirect
139. #16810784C22semidirect
142. #16810783C22semidirect
143. #16810783C22semidirect
144. #16810782C22semidirect
145. #16810780C22semidirect
146. #16810780C22semidirect
147. #16810780C22semidirect
148. #16810778C22semidirect
149. #16810778C22semidirect
150. #16810778C22semidirect
151. #16810777C22semidirect
152. #16810775C22semidirect
153. #16810773C22semidirect
154. #16810773C22semidirect
155. #16810772C22semidirect
156. #16810763C22semidirect
157. #16810763C22semidirect
158. #16810761C22semidirect
159. #16810729C22semidirect
160. #16810727C22semidirect
161. #16810726C22semidirect
162. #16810722C22semidirect
163. #16810717C22semidirect
164. #16810715C22semidirect
165. #16810710C22semidirect
166. #16810708C22semidirect
167. #16810698C22semidirect
168. #16810698C22semidirect
169. #16810697C22semidirect
170. #16810697C22semidirect
171. #16810694C22semidirect
172. #16810694C22semidirect
175. #16810677C22semidirect
176. #16810673C22semidirect
177. #16810623C22semidirect
178. #16810622C22semidirect
179. #16810622C22semidirect
180. #16810621C22semidirect
181. C2×#13133142C22semidirect
182. #103×D53C22semidirect
183. C2×#13133139C22semidirect
184. #102×D53C22semidirect
185. #16810587C22semidirect
186. #16810585C22semidirect
187. C22⋊C8×D53C22semidirect
189. C2×C22⋊Q8×C53C22semidirect
190. C53×#485C22semidirect
191. C53×#485C22semidirect
192. C53×#483C22semidirect
193. C53×#480C22semidirect
194. C53×#467C22semidirect
195. C53×#467C22semidirect
196. C53×#465C22semidirect
197. C53×#465C22semidirect
198. C53×#452C22semidirect
199. C53×#452C22semidirect
200. C53×#451C22semidirect
201. C53×#448C22semidirect
202. C2×C22⋊C8×C53C22semidirect
803. C22⋊D53#137semidirect
949. #3190D53semidirect
1016. C2×C22⋊Q8C2×D53semidirect
1031. #485C2×D53semidirect
1032. #485C2×D53semidirect
1036. #483C2×D53semidirect
1040. #480C2×D53semidirect
1055. #467C2×D53semidirect
1056. #467C2×D53semidirect
1059. #465C2×D53semidirect
1060. #465C2×D53semidirect
1091. #452C2×D53semidirect
1092. #452C2×D53semidirect
1100. #451C2×D53semidirect
1108. #448C2×D53semidirect
1138. C2×C22⋊C8C2×D53semidirect
1139. C53#61607semidirect

Maximal subgroups

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

subgroupindex
#202885112
#202881982
#202870512
#202870292
#202868322
#202868292
#202868022
#202867992
#202865862
#202865342
#202864642
#202864082
#202863792
#202863542
#202862882
#202862822
#202862282
#202862222
#202857232
#202856692
#202855492
#202855412
#202855002
#202848722
#202847812
#202839732
#202839722
C2×#168107872
#452×D532
#202837462
C53×#31902
#6160753