Finite Group Databasebeta

← #28275957

Subgroups — #28275957

Order 13568.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289217C211yesmaximal, characteristic, complemented
2#20288611C211yesmaximal, characteristic, complemented
3#20287794C211yesmaximal, characteristic, complemented
4#20287792C211yesmaximal, characteristic, complemented
5#20287785C211yesmaximal, characteristic, complemented
6#20287777C211yesmaximal, characteristic, complemented
7#20287727C211yesmaximal, characteristic, complemented
8#20287722C211yesmaximal, characteristic, complemented
9#20287714C211yesmaximal, characteristic, complemented
10#20287712C211yesmaximal, characteristic, complemented
11#20287481C211yesmaximal, characteristic, complemented
12#20287479C211yesmaximal, characteristic, complemented
13#20287466C211yesmaximal, characteristic, complemented
14#20287464C211yesmaximal, characteristic, complemented
15#20287403C211yesmaximal, characteristic, complemented
16#20287401C211yesmaximal, characteristic, complemented
17#20287367C211yesmaximal, characteristic, complemented
18#20287365C211yesmaximal, characteristic, complemented
19#20285828C211yesmaximal, characteristic, complemented
20#20285820C211yesmaximal, characteristic, complemented
21#20285785C211yesmaximal, characteristic, complemented
22#20285763C211yesmaximal, characteristic
23#20285682C211yesmaximal, characteristic, complemented
24#20285676C211yesmaximal, characteristic, complemented
25#20285011C211yesmaximal, characteristic, complemented
26#20285002C211yesmaximal, characteristic, complemented
27#20284902C211yesmaximal, characteristic, complemented
28#20284894C211yesmaximal, characteristic, complemented
29#20284733C211yesmaximal, characteristic, complemented
30#20283816C211yesmaximal, characteristic, complemented
31C53×#3102C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811375—21no—
34#16811356C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811356C2211yescharacteristic
37#16811356C2211yescharacteristic
38#16811356C2211yescharacteristic, complemented
39#16811355C2211yescharacteristic, complemented
40#16811350C2211yescharacteristic, complemented
41#16811349C2211yescharacteristic, complemented
42#16811345C2211yescharacteristic
43#16811345C2211yescharacteristic
44#16811345C2211yescharacteristic
45#16811345C2211yescharacteristic
46#16811345C2211yescharacteristic, complemented
47#16811342C2211yescharacteristic, complemented
48#16811332C2211yescharacteristic, complemented
49#16811329C2211yescharacteristic, complemented
50#16811312—21no—
51#16811306—21no—
52#16811302—21no—
53#16811302—21no—
54#16811302—21no—
55#16811302—21no—
56#16811246C2211yescharacteristic
57#16811244—21no—
58#16811244—21no—
59#16811241—21no—
60#16811240C2211yescharacteristic
61#16811238—21no—
62#16811233C2211yescharacteristic
63#16811226C2211yescharacteristic
64#16811216—21no—
65#16811215—21no—
66#16811194C2211yescharacteristic
67#16811187C2211yescharacteristic
68#16811180C2211yescharacteristic
69#16811157—21no—
70#16811157—21no—
71#16811157C2211yescharacteristic
72C2×#13133205C2211yescharacteristic
73#16811100C2211yescharacteristic
74#16811097C2211yescharacteristic
75#16811016C2211yescharacteristic
76#16811016C2211yescharacteristic, complemented
77#16811014C2211yescharacteristic, complemented
78#16811009C2211yescharacteristic
79#16811007C2211yescharacteristic
80#16811007C2211yescharacteristic
81#16811006C2211yescharacteristic, complemented
82#16811005C2211yescharacteristic
83#16811005C2211yescharacteristic
84#16811004C2211yescharacteristic, complemented
85#16810998C2211yescharacteristic
86#16810994C2211yescharacteristic
87#16810986C2211yescharacteristic
88#16810986C2211yescharacteristic
89#16810981C2211yescharacteristic, complemented
90#16810981C2211yescharacteristic, complemented
91#16810980C2211yescharacteristic
92#16810980C2211yescharacteristic
93#16810979C2211yescharacteristic
94#16810979C2211yescharacteristic
95#16810978C2211yescharacteristic
96#16810978C2211yescharacteristic
97#16810972C2211yescharacteristic, complemented
98#16810972C2211yescharacteristic, complemented
99#16810964C2211yescharacteristic
100#16810947C2211yescharacteristic
101#16810933C2211yescharacteristic, complemented
102#16810933C2211yescharacteristic, complemented
103#16810930C2211yescharacteristic, complemented
104#16810929C2211yescharacteristic, complemented
105#16810929C2211yescharacteristic, complemented
106#16810923C2211yescharacteristic, complemented
107#16810912C2211yescharacteristic
108#16810912C2211yescharacteristic
109#16810902C2211yescharacteristic
110#16810902C2211yescharacteristic
111#16810848C2211yescharacteristic
112#16810847C2211yescharacteristic
113#16810846C2211yescharacteristic
114#16810846C2211yescharacteristic
115#16810845C2211yescharacteristic
116#16810845C2211yescharacteristic
117#16810845C2211yescharacteristic, complemented
118#16810844C2211yescharacteristic, complemented
119#16810843C2211yescharacteristic, complemented
120#16810841C2211yescharacteristic
121#16810841C2211yescharacteristic
122#16810841C2211yescharacteristic
123#16810840C2211yescharacteristic
124#16810839C2211yescharacteristic
125#16810839C2211yescharacteristic
126#16810838C2211yescharacteristic
127#16810838C2211yescharacteristic
128#16810838C2211yescharacteristic, complemented
129#16810837C2211yescharacteristic
130#16810837C2211yescharacteristic
131#16810837C2211yescharacteristic, complemented
132#16810836C2211yescharacteristic, complemented
133#16810832C2211yescharacteristic, complemented
134#16810832C2211yescharacteristic, complemented
135#16810832C2211yescharacteristic, complemented
136#16810831C2211yescharacteristic, complemented
137#16810827C2211yescharacteristic, complemented
138#16810826C2211yescharacteristic, complemented
139#16810822C2211yescharacteristic
140#16810822C2211yescharacteristic, complemented
141#16810822C2211yescharacteristic, complemented
142#16810821C2211yescharacteristic
143#16810817C2211yescharacteristic
144#16810816C2211yescharacteristic
145#16810785C2211yescharacteristic
146#16810781C2211yescharacteristic
147#16810778C2211yescharacteristic
148#16810776C2211yescharacteristic
149#16810773C2211yescharacteristic
150#16810768C2211yescharacteristic
151#16810764C2211yescharacteristic
152#16810761C2211yescharacteristic
153#16810759C2211yescharacteristic
154#16810756C2211yescharacteristic
155#16810753C2211yescharacteristic, complemented
156#16810753C2211yescharacteristic, complemented
157#16810750C2211yescharacteristic, complemented
158#16810750C2211yescharacteristic, complemented
159C8×Dic106C2211yescharacteristic, complemented
160C8×Dic106C2211yescharacteristic, complemented
161#16810747C2211yescharacteristic, complemented
162#16810747C2211yescharacteristic, complemented
163#16810734C2211yescharacteristic
164#16810732C2211yescharacteristic
165#16810729C2211yescharacteristic, complemented
166#16810727C2211yescharacteristic, complemented
167#16810726C2211yescharacteristic
168#16810722C2211yescharacteristic
169#16810722C2211yescharacteristic, complemented
170#16810720C2211yescharacteristic, complemented
171#16810717C2211yescharacteristic, complemented
172C4×#11719925C2211yescharacteristic, complemented
173#16810715C2211yescharacteristic, complemented
174#16810714C2211yescharacteristic, complemented
175C4×#11719924C2211yescharacteristic, complemented
176#16810710C2211yescharacteristic
177#16810710C2211yescharacteristic, complemented
178C4×#11719923C2211yescharacteristic, complemented
179#16810708C2211yescharacteristic
180#16810705C2211yescharacteristic
181C4×#11719922C2211yescharacteristic, complemented
182#16810703C2211yescharacteristic
183#16810681C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810681C2211yescharacteristic
187#16810676C2211yescharacteristic
188C53×#529C2211yescharacteristic
189C4×#41×C53C2211yescharacteristic
190C53×#485C2211yescharacteristic
191C53×#482C2211yescharacteristic
192C53×#479C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#452C2211yescharacteristic
197C53×#449C2211yescharacteristic
198C4×Q16×C53C2211yescharacteristic, complemented
199C4×SD16×C53C2211yescharacteristic, complemented
200C4×SD16×C53C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#431C2211yescharacteristic
203C22×Dic106C2311yescharacteristic
204C22×D212C2311yescharacteristic
205C2×Dic212C2311yescharacteristic
206C2×Dic212C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719913C2311yescharacteristic
212C2×#11719913C2311yescharacteristic
213C2×#11719913C2311yescharacteristic
214C2×#11719923C2311yescharacteristic
215C2×#11719923C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719924C2311yescharacteristic
218C2×#11719924C2311yescharacteristic
219C2×#11719924C2311yescharacteristic
220C2×D424C2311yescharacteristic
221C2×D424C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223C2×#11719922C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225#13133217D411yescharacteristic
226#13133217D411yescharacteristic
227#13133216—21no—
228#13133216—21no—
229#13133216C2311yescharacteristic
230#13133216C2311yescharacteristic
231#13133215C2311yescharacteristic
232#13133215C2311yescharacteristic
233#13133215C2311yescharacteristic
234#13133213C2311yescharacteristic
235#13133213C2311yescharacteristic
236#13133213C2311yescharacteristic
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
240#13133212—21no—
241#13133212—21no—
242#13133212—21no—
243#13133211—21no—
244#13133211—21no—
245#13133211—21no—
246#13133211—21no—
247#13133211—21no—
248#13133211—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133209—21no—
255#13133209D411yescharacteristic
256#13133209D411yescharacteristic
257#13133209C2311yescharacteristic
258#13133208—21no—
259#13133208—21no—
260#13133208C2311yescharacteristic
261#13133208C2311yescharacteristic
262#13133207—21no—
263#13133207—21no—
264#13133207—21no—
265#13133206C2311yescharacteristic
266#13133206C2311yescharacteristic
267#13133206C2311yescharacteristic
268#13133205—21no—
269#13133205—21no—
270#13133205C2311yescharacteristic
271#13133205C2311yescharacteristic
272#13133205C2311yescharacteristic
273#13133205C2311yescharacteristic
274#13133205C2311yescharacteristic
275#13133204—21no—
276#13133204C2311yescharacteristic
277#13133204C2311yescharacteristic
278#13133204C2311yescharacteristic
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133203—21no—
286#13133201—21no—
287#13133201—21no—
288#13133200—21no—
289#13133200—21no—
290#13133200—21no—
291#13133200—21no—
292#13133200—21no—
293#13133200—21no—
294#13133199—21no—
295#13133199—21no—
296#13133199—21no—
297#13133199—21no—
298#13133199—21no—
299#13133199—21no—
300#13133199—21no—
301#13133199—21no—
302#13133198—21no—
303#13133198—21no—
304#13133198—21no—
305#13133197—21no—
306#13133197—21no—
307#13133196—21no—
308#13133196—21no—
309#13133196—21no—
310#13133196D411yescharacteristic
311#13133196D411yescharacteristic
312#13133196D411yescharacteristic
313#13133196D411yescharacteristic
314#13133196C2311yescharacteristic
315#13133195—21no—
316#13133195—21no—
317#13133195—21no—
318#13133195—21no—
319#13133195—21no—
320#13133195—21no—
321#13133195—21no—
322#13133194—21no—
323#13133194—21no—
324#13133194—21no—
325#13133194—21no—
326#13133191—21no—
327#13133191—21no—
328#13133191C2311yescharacteristic
329#13133189—21no—
330#13133188—21no—
331#13133185—21no—
332#13133185—21no—
333Q8×Dic53C2311yescharacteristic
334Q8×Dic53C2311yescharacteristic
335C4×Dic106—21no—
336C4×Dic106—21no—
337C4×Dic106—21no—
338C4×Dic106C2311yescharacteristic
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341C4×Dic106C2311yescharacteristic
342C4×Dic106C2311yescharacteristic
343#13133182—21no—
344#13133182C2311yescharacteristic
345#13133182C2311yescharacteristic
346#13133182C2311yescharacteristic
347#13133182C2311yescharacteristic
348#13133182C2311yescharacteristic
349#13133182C2311yescharacteristic
350C4×D212—21no—
351C4×D212—21no—
352C4×D212C2311yescharacteristic
353D4×Dic53C2311yescharacteristic
354D4×Dic53C2311yescharacteristic
355#13133179C2311yescharacteristic
356#13133179C2311yescharacteristic
357#13133179C2311yescharacteristic
358#13133179C2311yescharacteristic
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—
367#13133177—21no—
368#13133176C2311yescharacteristic
369#13133176C2311yescharacteristic
370#13133174—21no—
371#13133174—21no—
372#13133174—21no—
373#13133174—21no—
374#13133174—21no—
375#13133174—21no—
376#13133173—21no—
377#13133173—21no—
378#13133173—21no—
379C2×#11719919—21no—
380C4⋊C4×D53—21no—
381C2×#11719921—21no—
382C2×#11719921—21no—
383C22⋊C4×D53—21no—
384C22⋊C4×D53—21no—
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390C4⋊#88322C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133127C2311yescharacteristic
426#13133127C2311yescharacteristic
427#13133127C2311yescharacteristic
428#13133127C2311yescharacteristic
429C4×#88322C2311yescharacteristic
430C4×#88322C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C2×Q16×C53C2311yescharacteristic
437C2×SD16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×D8×C53C2311yescharacteristic
440#126×C53—21no—
441#125×C53C2311yescharacteristic
442#124×C53C2311yescharacteristic
443#123×C53—21no—
444C22⋊Q8×C53C2311yescharacteristic
445#121×C53C2311yescharacteristic
446C4×Q8×C53C2311yescharacteristic
447C4×Q8×C53C2311yescharacteristic
448C4×Q8×C53C2311yescharacteristic
449C4×D4×C53—21no—
450C4×D4×C53—21no—
451C4×D4×C53—21no—
452C4×D4×C53C2311yescharacteristic
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455#117×C53—21no—
456#117×C53—21no—
457#117×C53C2311yescharacteristic
458C2×C42×C53—21no—
459C2×C42×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C4×C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479#41×C53—41no—
480#41×C53—41no—
481C2×Q8×C53C2411yescharacteristic
482C2×Q8×C53C2411yescharacteristic
483C2×D4×C53—21no—
484C2×D4×C53—21no—
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53C2×D411yescharacteristic
492C22×C4×C53C2×D411yescharacteristic
493C22×C4×C53C2411yescharacteristic
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C22×Dic53—21no—
502C22×Dic53—21no—
503C22×Dic53—21no—
504C2×D212—21no—
505C2×D212—41no—
506C2×D212—41no—
507C2×D212C2411yescharacteristic
508C2×D212C2411yescharacteristic
509C2×D212C2411yescharacteristic
510C2×C4×D53—21no—
511C2×C4×D53—21no—
512C2×C4×D53—21no—
513C2×C4×D53—21no—
514C2×C4×D53—21no—
515C2×C4×D53—21no—
516C2×C4×D53—21no—
517C2×Dic106—21no—
518C2×Dic106—21no—
519C2×Dic106—21no—
520C2×Dic106—41no—
521C2×Dic106—41no—
522C2×Dic106C2×D411yescharacteristic
523C2×Dic106C2×D411yescharacteristic
524C2×Dic106C2×D411yescharacteristic
525C2×Dic106C2×D411yescharacteristic
526C2×Dic106C2411yescharacteristic
527C2×Dic106C2411yescharacteristic
528C2×Dic106C2411yescharacteristic
529Q16×C53—41no—
530SD16×C53—41no—
531SD16×C53—41no—
532D8×C53—41no—
533C2×C8×C53C2411yescharacteristic
534C2×C8×C53C2411yescharacteristic
535C2×C8×C53C2411yescharacteristic
536C2×C8×C53C2411yescharacteristic
537C4⋊C4×C53—21no—
538C4⋊C4×C53—21no—
539C4⋊C4×C53—21no—
540C4⋊C4×C53—21no—
541C4⋊C4×C53—21no—
542C4⋊C4×C53—21no—
543C4⋊C4×C53C2411yescharacteristic
544C4⋊C4×C53C2411yescharacteristic
545C4⋊C4×C53C2411yescharacteristic
546C4⋊C4×C53C2411yescharacteristic
547C22⋊C4×C53—21no—
548C22⋊C4×C53—21no—
549C22⋊C4×C53—21no—
550C22⋊C4×C53—21no—
551C22⋊C4×C53—21no—
552C22⋊C4×C53—21no—
553C22⋊C4×C53—21no—
554C22⋊C4×C53—21no—
555C42×C53—21no—
556C42×C53—21no—
557C42×C53—21no—
558C42×C53—21no—
559C42×C53C2×D411yescharacteristic
560C42×C53C2×D411yescharacteristic
561C42×C53C2411yescharacteristic
562C42×C53C2411yescharacteristic
563C22⋊Dic53—21no—
564C22⋊Dic53—21no—
565C22⋊Dic53—21no—
566C22⋊Dic53—21no—
567C22⋊Dic53—21no—
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53C2×D411yescharacteristic
573C22⋊Dic53C2×D411yescharacteristic
574C22⋊Dic53C2×D411yescharacteristic
575C22⋊Dic53C2×D411yescharacteristic
576#11719925—41no—
577#11719925—41no—
578#11719925—41no—
579#11719924—41no—
580#11719924—41no—
581#11719924—41no—
582#11719923—41no—
583#11719923—41no—
584#11719923—41no—
585#11719922—41no—
586#11719922—41no—
587#11719922—41no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2×D411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652#11719919C2×D411yescharacteristic
653#11719919C2×D411yescharacteristic
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53C2411yescharacteristic
664C4×Dic53C2411yescharacteristic
665C4×Dic53C2411yescharacteristic
666C4×Dic53C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669C2×#88322C2411yescharacteristic
670C2×#88322C2411yescharacteristic
671Dic212—41no—
672Dic212—41no—
673D424—41no—
674D424—41no—
675#11719913—41no—
676#11719913—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C23×C53—21no—
681C23×C53C22×D411yescharacteristic
682C22×D53—21no—
683C22×D53—21no—
684C22×D53—21no—
685C22×D53—42no—
686C22×D53—81no—
687C22×D53—81no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692D4×C53—21no—
693D4×C53—21no—
694D4×C53—21no—
695D4×C53—21no—
696D4×C53—42no—
697D4×C53—81no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—41no—
707C2×C4×C53—41no—
708C2×C4×C53—42no—
709C2×C4×C53—81no—
710C2×C4×C53—81no—
711C2×C4×C53—81no—
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C2511yescharacteristic
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C22⋊D53—81no—
723C22⋊D53—81no—
724C22⋊D53—81no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—42no—
731C2×Dic53—81no—
732C2×Dic53—81no—
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737C2×Dic53C22×D411yescharacteristic
738C2×Dic53C22×D411yescharacteristic
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741D212—21no—
742D212—21no—
743D212—21no—
744D212—21no—
745D212—21no—
746D212—21no—
747D212—42no—
748C4×D53—81no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755Dic106—21no—
756Dic106—21no—
757Dic106—21no—
758Dic106—21no—
759Dic106—21no—
760Dic106—21no—
761Dic106—41no—
762Dic106—41no—
763Dic106—41no—
764Dic106—41no—
765Dic106—42no—
766Dic106—81no—
767Dic106—81no—
768C8×C53—21no—
769C8×C53—21no—
770C8×C53—21no—
771C8×C53—21no—
772#88322—21no—
773#88322—21no—
774#88322—21no—
775#88322—21no—
776#61931—531nomaximal, Sylow
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—21no—
780C22×C53—41no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—41no—
785C22×C53—41no—
786C22×C53C23×D411yescharacteristic
787C2×D53—41no—
788C2×D53—41no—
789C2×D53—41no—
790C2×D53—41no—
791C2×D53—41no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—162no—
797C4×C53—21no—
798C4×C53—21no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—41no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53#58511yescharacteristic
809C4×C53#58511yescharacteristic
810Dic53—21no—
811Dic53—21no—
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823#3557—531no—
824#3510—531no—
825#3402—531no—
826#3402—531no—
827#3401—531no—
828#3401—531no—
829#3396—531no—
830#3396—531no—
831#3394—531no—
832#3394—531no—
833#3371—531no—
834#3371—531no—
835#3370—531no—
836#3370—531no—
837#3364—531no—
838#3364—531no—
839#3360—531no—
840#3360—531no—
841#3225—531no—
842#3225—531no—
843#3222—531no—
844#3220—531no—
845#3211—531no—
846#3211—531no—
847#3127—531no—
848#3126—531no—
849#3118—531no—
850#3118—531no—
851#3102—531no—
852#3102D5311yescharacteristic, complemented
853#2986—531no—
854C2×C53—41no—
855C2×C53—81no—
856C2×C53—81no—
857C2×C53#348711yescharacteristic
858C2×C53#358411yescharacteristic
859C2×C53#358411yescharacteristic
860D53—81no—
861D53—81no—
862D53—81no—
863#563—1061no—
864#563—1061no—
865#559—531no—
866#559—531no—
867#559—531no—
868#559—531no—
869#559—531no—
870#559—531no—
871#557—531no—
872#557—531no—
873#556—531no—
874#556—531no—
875#556—531no—
876#556—531no—
877#556—531no—
878#556—531no—
879#554—531no—
880#554—531no—
881#552—1061no—
882#552—1061no—
883#551—1061no—
884#551—1061no—
885#551—1061no—
886#551—1061no—
887#542—531no—
888#542—531no—
889#542—1061no—
890#542—1061no—
891#542—1061no—
892#542—1061no—
893#541—531no—
894#540—531no—
895#539—1061no—
896#539—1061no—
897#536—531no—
898#535—531no—
899#533—531no—
900#529—531no—
901#529—1061no—
902#529—1061no—
903#529C2×D5311yescharacteristic
904C2×#124—531no—
905#519—531no—
906#518—531no—
907C4×#41C2×D5311yescharacteristic
908#497—531no—
909#497—531no—
910#497—531no—
911#496—531no—
912#495—531no—
913#495—531no—
914#495—531no—
915#495—531no—
916#495—531no—
917#495—531no—
918#493—531no—
919#492—531no—
920#490—531no—
921#490—531no—
922#489—531no—
923#489—531no—
924#488—531no—
925#488—531no—
926#488—531no—
927#488—531no—
928#488—531no—
929#488—531no—
930#487—531no—
931#487—531no—
932#485—531no—
933#485C2×D5311yescharacteristic
934#482—531no—
935#482C2×D5311yescharacteristic
936#479—531no—
937#479—531no—
938#479—531no—
939#479—531no—
940#479—531no—
941#479C2×D5311yescharacteristic, complemented
942#478—531no—
943#478C2×D5311yescharacteristic, complemented
944#476—531no—
945#476—531no—
946#474—531no—
947#474—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464—531no—
954#464—531no—
955#464—531no—
956#464—531no—
957#464C2×D5311yescharacteristic, complemented
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#463—531no—
963#463—531no—
964#463—531no—
965#463—531no—
966#463—531no—
967#463—531no—
968#463—531no—
969#463—531no—
970#463—531no—
971#463C2×D5311yescharacteristic, complemented
972#462—531no—
973#462—531no—
974#462—531no—
975#462—531no—
976#461—531no—
977#461—531no—
978#460—531no—
979#460—531no—
980#460—531no—
981#460—531no—
982#459—531no—
983#459—531no—
984#452—531no—
985#452C2×D5311yescharacteristic
986#451—531no—
987#451—531no—
988#450—531no—
989#450—531no—
990#449—531no—
991#449C2×D5311yescharacteristic
992#448—531no—
993#448—531no—
994#447—531no—
995#447—531no—
996#446—531no—
997#446—531no—
998#446—531no—
999#446—531no—
1000C8×Q8—531no—
1001C8×Q8—531no—
1002C8×Q8—531no—
1003C8×Q8—531no—
1004#442—531no—
1005#442—531no—
1006#441—531no—
1007#441—531no—
1008#440—531no—
1009#440—531no—
1010#440—531no—
1011#440—531no—
1012C4×Q16—531no—
1013C4×Q16—531no—
1014C4×Q16—531no—
1015C4×Q16C2×D5311yescharacteristic, complemented
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16C2×D5311yescharacteristic, complemented
1023C4×SD16C2×D5311yescharacteristic, complemented
1024C4×D8—531no—
1025C4×D8—531no—
1026C4×D8—531no—
1027C4×D8C2×D5311yescharacteristic, complemented
1028#433—531no—
1029#433—531no—
1030#433—531no—
1031#433—531no—
1032#431—531no—
1033#431C2×D5311yescharacteristic
1034C53#6193111yescharacteristic, complemented, Sylow
1035C2×#41C22×D5311yescharacteristic
1036C22×Q8—531no—
1037C22×D4—531no—
1038C2×Q16—531no—
1039C2×Q16—531no—
1040C2×Q16—531no—
1041C2×Q16—531no—
1042C2×Q16—531no—
1043C2×Q16C22×D5311yescharacteristic
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16—531no—
1050C2×SD16—531no—
1051C2×SD16—531no—
1052C2×SD16—531no—
1053C2×SD16—531no—
1054C2×SD16C22×D5311yescharacteristic
1055C2×SD16C22×D5311yescharacteristic
1056C2×D8—531no—
1057C2×D8—531no—
1058C2×D8—531no—
1059C2×D8—531no—
1060C2×D8—531no—
1061C2×D8C22×D5311yescharacteristic
1062C4⋊Q8—531no—
1063C4⋊Q8—531no—
1064C4⋊Q8—531no—
1065C4⋊Q8—531no—
1066C4⋊Q8—531no—
1067C4⋊Q8—531no—
1068C4⋊Q8—531no—
1069C4⋊Q8—1061no—
1070C4⋊Q8—1061no—
1071#127—531no—
1072#127—531no—
1073#127—531no—
1074#126—21no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—531no—
1093#125—531no—
1094#125—531no—
1095#125—531no—
1096#125—531no—
1097#125—1061no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125C22×D5311yescharacteristic
1104#124—531no—
1105#124—531no—
1106#124—531no—
1107#124—531no—
1108#124—531no—
1109#124—531no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—1061no—
1116#124—1061no—
1117#124—1061no—
1118#124—1061no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124C22×D5311yescharacteristic
1126#123—21no—
1127#123—1061no—
1128#123—1061no—
1129#123—1061no—
1130#123—1061no—
1131#123—1061no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8—1061no—
1166C22⋊Q8—1061no—
1167C22⋊Q8C22×D5311yescharacteristic
1168#121—531no—
1169#121—1061no—
1170#121—1061no—
1171#121—1061no—
1172#121—1061no—
1173#121C22×D5311yescharacteristic
1174#120—1061no—
1175#120—1061no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—531no—
1189C4×Q8—1061no—
1190C4×Q8—1061no—
1191C4×Q8—1061no—
1192C4×Q8—1061no—
1193C4×Q8C22×D5311yescharacteristic
1194C4×Q8C22×D5311yescharacteristic
1195C4×Q8C22×D5311yescharacteristic
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—531no—
1206C4×D4—531no—
1207C4×D4—531no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4C22×D5311yescharacteristic
1218C4×D4C22×D5311yescharacteristic
1219C4×D4C22×D5311yescharacteristic
1220#117—21no—
1221#117—21no—
1222#117—531no—
1223#117—531no—
1224#117—1061no—
1225#117—1061no—
1226#117—1061no—
1227#117—1061no—
1228#117—1061no—
1229#117—1061no—
1230#117—1061no—
1231#117—1061no—
1232#117—1061no—
1233#117C22×D5311yescharacteristic
1234C2×C4⋊C4—1061no—
1235C2×C4⋊C4—1061no—
1236C2×C22⋊C4—1061no—
1237C2×C22⋊C4—1061no—
1238C2×C22⋊C4—1061no—
1239C2×C22⋊C4—1061no—
1240C2×C42—21no—
1241C2×C42C22×D5311yescharacteristic
1242#107—531no—
1243#107—531no—
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106C22×D5311yescharacteristic
1249#106C22×D5311yescharacteristic
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8—531no—
1253C4⋊C8—531no—
1254C4⋊C8—531no—
1255C4⋊C8—531no—
1256C4⋊C8—531no—
1257C4⋊C8—531no—
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8C22×D5311yescharacteristic
1261C4⋊C8C22×D5311yescharacteristic
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103—531no—
1267#103—531no—
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103C22×D5311yescharacteristic
1275#103C22×D5311yescharacteristic
1276#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102C22×D5311yescharacteristic
1291#102C22×D5311yescharacteristic
1292#102C22×D5311yescharacteristic
1293#102C22×D5311yescharacteristic
1294C22⋊C8—531no—
1295C22⋊C8—531no—
1296C22⋊C8C22×D5311yescharacteristic
1297C22⋊C8C22×D5311yescharacteristic
1298#97—531no—
1299#97—531no—
1300#97—531no—
1301#97—531no—
1302C4×C8—531no—
1303C4×C8—531no—
1304C4×C8—531no—
1305C4×C8—531no—
1306C4×C8—531no—
1307C4×C8—531no—
1308C4×C8C22×D5311yescharacteristic
1309C4×C8C22×D5311yescharacteristic
1310C24—1061no—
1311#41—41no—
1312#41—41no—
1313C2×Q8—531no—
1314C2×Q8—531no—
1315C2×Q8—531no—
1316C2×Q8—531no—
1317C2×Q8—531no—
1318C2×Q8—531no—
1319C2×Q8—531no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8—2121no—
1324C2×Q8—2121no—
1325C2×Q8C23×D5311yescharacteristic
1326C2×Q8C23×D5311yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—1061no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1061no—
1339C2×D4—1061no—
1340C2×D4—2121no—
1341C2×D4—2121no—
1342C2×D4C23×D5311yescharacteristic
1343C2×D4C23×D5311yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—1061no—
1349C22×C4—1061no—
1350C22×C4—1061no—
1351C22×C4—1061no—
1352C22×C4—1061no—
1353C22×C4—1061no—
1354C22×C4—1061no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4D4×D5311yescharacteristic
1359C22×C4D4×D5311yescharacteristic
1360C22×C4C23×D5311yescharacteristic
1361Q16—41no—
1362Q16—2121no—
1363Q16—2121no—
1364Q16—2121no—
1365Q16—2121no—
1366Q16—2121no—
1367SD16—41no—
1368SD16—41no—
1369SD16—2121no—
1370SD16—2121no—
1371SD16—2121no—
1372SD16—2121no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376SD16—2121no—
1377SD16—2121no—
1378SD16—2121no—
1379D8—41no—
1380D8—2121no—
1381D8—2121no—
1382D8—2121no—
1383D8—2121no—
1384D8—2121no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—531no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—531no—
1416C4⋊C4—531no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4C23×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—531no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4—1061no—
1489C22⋊C4—1061no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—531no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42—1061no—
1506C42—1061no—
1507C42D4×D5311yescharacteristic
1508C42D4×D5311yescharacteristic
1509C42C23×D5311yescharacteristic
1510C42C23×D5311yescharacteristic
1511C23—21no—
1512C23—21no—
1513C23—1061no—
1514C23—1061no—
1515C23—1061no—
1516C23—4241no—
1517C23—4241no—
1518C23—2122no—
1519C23C2×D4×D5311yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—1061no—
1525Q8—1061no—
1526Q8—1061no—
1527Q8—1061no—
1528Q8—1061no—
1529Q8—1061no—
1530Q8—4241no—
1531Q8—4241no—
1532Q8—2121no—
1533Q8—2121no—
1534Q8—2121no—
1535Q8—2121no—
1536Q8—2122no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—42no—
1542D4—81no—
1543D4—1061no—
1544D4—1061no—
1545D4—1061no—
1546D4—1061no—
1547D4—1061no—
1548D4—1061no—
1549D4—4241no—
1550D4—4241no—
1551D4—4241no—
1552D4—4241no—
1553D4—4241no—
1554D4—4241no—
1555D4—4241no—
1556D4—2122no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—531no—
1572C2×C4—531no—
1573C2×C4—531no—
1574C2×C4—531no—
1575C2×C4—531no—
1576C2×C4—531no—
1577C2×C4—531no—
1578C2×C4—531no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—1061no—
1582C2×C4—1061no—
1583C2×C4—1061no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—4241no—
1592C2×C4—4241no—
1593C2×C4—2122no—
1594C2×C4C2×D4×D5311yescharacteristic
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—8482no—
1618C22—2121no—
1619C22—2121no—
1620C22—2121no—
1621C22—2121no—
1622C22—2121no—
1623C22—2121no—
1624C22—2121no—
1625C22—2121no—
1626C22—2121no—
1627C22C22×D4×D5311yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—1061no—
1640C4—1061no—
1641C4—1061no—
1642C4—1061no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—2121no—
1648C4—2121no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4#1681145911yescharacteristic
1653C4#1681145911yescharacteristic
1654C2—41no—
1655C2—81no—
1656C2—81no—
1657C2—4241no—
1658C2—4241no—
1659C2—4241no—
1660C2#2028836911yescharacteristic
1661C2#2028948411yescharacteristic
1662C2#2028948811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3102C2
socleC22×C53C23×D4
prime radical#20285763C2
hypercenter#3102D53
hypocenterC53#61931
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3102

Complements

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

NH ≅ G/Ntype
1. #20289217C2semidirect
2. #20288611C2semidirect
3. #20287794C2semidirect
4. #20287792C2semidirect
5. #20287785C2semidirect
6. #20287777C2semidirect
7. #20287727C2semidirect
8. #20287722C2semidirect
9. #20287714C2semidirect
10. #20287712C2semidirect
11. #20287481C2semidirect
12. #20287479C2semidirect
13. #20287466C2semidirect
14. #20287464C2semidirect
15. #20287403C2semidirect
16. #20287401C2semidirect
17. #20287367C2semidirect
18. #20287365C2semidirect
19. #20285828C2semidirect
20. #20285820C2semidirect
21. #20285785C2semidirect
23. #20285682C2semidirect
24. #20285676C2semidirect
25. #20285011C2semidirect
26. #20285002C2semidirect
27. #20284902C2semidirect
28. #20284894C2semidirect
29. #20284733C2semidirect
30. #20283816C2semidirect
31. C53×#3102C2semidirect
38. #16811356C22semidirect
39. #16811355C22semidirect
40. #16811350C22semidirect
41. #16811349C22semidirect
46. #16811345C22semidirect
47. #16811342C22semidirect
48. #16811332C22semidirect
49. #16811329C22semidirect
76. #16811016C22semidirect
77. #16811014C22semidirect
81. #16811006C22semidirect
84. #16811004C22semidirect
89. #16810981C22semidirect
90. #16810981C22semidirect
97. #16810972C22semidirect
98. #16810972C22semidirect
101. #16810933C22semidirect
102. #16810933C22semidirect
103. #16810930C22semidirect
104. #16810929C22semidirect
105. #16810929C22semidirect
106. #16810923C22semidirect
117. #16810845C22semidirect
118. #16810844C22semidirect
119. #16810843C22semidirect
128. #16810838C22semidirect
131. #16810837C22semidirect
132. #16810836C22semidirect
133. #16810832C22semidirect
134. #16810832C22semidirect
135. #16810832C22semidirect
136. #16810831C22semidirect
137. #16810827C22semidirect
138. #16810826C22semidirect
140. #16810822C22semidirect
141. #16810822C22semidirect
155. #16810753C22semidirect
156. #16810753C22semidirect
157. #16810750C22semidirect
158. #16810750C22semidirect
159. C8×Dic106C22semidirect
160. C8×Dic106C22semidirect
161. #16810747C22semidirect
162. #16810747C22semidirect
165. #16810729C22semidirect
166. #16810727C22semidirect
169. #16810722C22semidirect
170. #16810720C22semidirect
171. #16810717C22semidirect
172. C4×#11719925C22semidirect
173. #16810715C22semidirect
174. #16810714C22semidirect
175. C4×#11719924C22semidirect
177. #16810710C22semidirect
178. C4×#11719923C22semidirect
181. C4×#11719922C22semidirect
192. C53×#479C22semidirect
193. C53×#478C22semidirect
194. C53×#464C22semidirect
195. C53×#463C22semidirect
198. C4×Q16×C53C22semidirect
199. C4×SD16×C53C22semidirect
200. C4×SD16×C53C22semidirect
201. C4×D8×C53C22semidirect
852. #3102D53semidirect
941. #479C2×D53semidirect
943. #478C2×D53semidirect
957. #464C2×D53semidirect
971. #463C2×D53semidirect
1015. C4×Q16C2×D53semidirect
1022. C4×SD16C2×D53semidirect
1023. C4×SD16C2×D53semidirect
1027. C4×D8C2×D53semidirect
1034. C53#61931semidirect

Maximal subgroups

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

subgroupindex
#202892172
#202886112
#202877942
#202877922
#202877852
#202877772
#202877272
#202877222
#202877142
#202877122
#202874812
#202874792
#202874662
#202874642
#202874032
#202874012
#202873672
#202873652
#202858282
#202858202
#202857852
#202857632
#202856822
#202856762
#202850112
#202850022
#202849022
#202848942
#202847332
#202838162
C53×#31022
#6193153