Finite Group Databasebeta

← #28275833

Subgroups — #28275833

Order 13568.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289205C211yesmaximal, characteristic, complemented
2#20288611C211yesmaximal, characteristic, complemented
3#20287795C211yesmaximal, characteristic, complemented
4#20287794C211yesmaximal, characteristic, complemented
5#20287786C211yesmaximal, characteristic, complemented
6#20287779C211yesmaximal, characteristic, complemented
7#20287769C211yesmaximal, characteristic, complemented
8#20287747C211yesmaximal, characteristic, complemented
9#20287714C211yesmaximal, characteristic, complemented
10#20287698C211yesmaximal, characteristic, complemented
11#20287555C211yesmaximal, characteristic, complemented
12#20287547C211yesmaximal, characteristic, complemented
13#20287530C211yesmaximal, characteristic, complemented
14#20287481C211yesmaximal, characteristic, complemented
15#20287473C211yesmaximal, characteristic, complemented
16#20287456C211yesmaximal, characteristic, complemented
17#20287414C211yesmaximal, characteristic, complemented
18#20287403C211yesmaximal, characteristic, complemented
19#20285820C211yesmaximal, characteristic, complemented
20#20285807C211yesmaximal, characteristic
21#20285796C211yesmaximal, characteristic, complemented
22#20285785C211yesmaximal, characteristic, complemented
23#20285720C211yesmaximal, characteristic, complemented
24#20285676C211yesmaximal, characteristic, complemented
25#20285011C211yesmaximal, characteristic, complemented
26#20284963C211yesmaximal, characteristic, complemented
27#20284939C211yesmaximal, characteristic, complemented
28#20284894C211yesmaximal, characteristic, complemented
29#20284786C211yesmaximal, characteristic, complemented
30#20283812C211yesmaximal, characteristic, complemented
31C53×#3111C211yesmaximal, characteristic, complemented
32#16811376—21no—
33#16811376—21no—
34#16811356C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811356C2211yescharacteristic
37#16811356C2211yescharacteristic
38Q8×Dic106C2211yescharacteristic, complemented
39#16811351C2211yescharacteristic, complemented
40#16811350C2211yescharacteristic, complemented
41#16811350C2211yescharacteristic, complemented
42#16811345C2211yescharacteristic
43#16811345C2211yescharacteristic
44#16811345C2211yescharacteristic
45#16811345C2211yescharacteristic
46#16811343—21no—
47#16811343C2211yescharacteristic, complemented
48#16811342C2211yescharacteristic, complemented
49#16811342C2211yescharacteristic, complemented
50#16811330C2211yescharacteristic, complemented
51#16811313—21no—
52#16811302—21no—
53#16811302—21no—
54#16811302—21no—
55#16811302—21no—
56#16811251—21no—
57#16811244—21no—
58#16811244—21no—
59#16811240C2211yescharacteristic
60#16811240C2211yescharacteristic
61#16811235—21no—
62#16811233C2211yescharacteristic
63#16811233C2211yescharacteristic
64#16811230—21no—
65#16811230—21no—
66#16811194C2211yescharacteristic
67#16811187C2211yescharacteristic
68#16811180C2211yescharacteristic
69#16811180C2211yescharacteristic
70#16811157—21no—
71#16811157—21no—
72C2×#13133205C2211yescharacteristic
73#16811100C2211yescharacteristic
74#16811097C2211yescharacteristic
75#16811017C2211yescharacteristic
76#16811017C2211yescharacteristic
77#16811016C2211yescharacteristic
78#16811014C2211yescharacteristic, complemented
79#16811014C2211yescharacteristic, complemented
80#16811011C2211yescharacteristic
81#16811006C2211yescharacteristic, complemented
82#16811005C2211yescharacteristic
83#16811005C2211yescharacteristic
84#16811004C2211yescharacteristic
85#16811001C2211yescharacteristic, complemented
86#16810994C2211yescharacteristic
87#16810990C2211yescharacteristic, complemented
88#16810986C2211yescharacteristic
89#16810984C2211yescharacteristic
90#16810983C2211yescharacteristic
91#16810983C2211yescharacteristic
92#16810981C2211yescharacteristic, complemented
93#16810980C2211yescharacteristic
94#16810980C2211yescharacteristic
95#16810979C2211yescharacteristic
96#16810976C2211yescharacteristic, complemented
97#16810972C2211yescharacteristic, complemented
98#16810968C2211yescharacteristic
99#16810964C2211yescharacteristic
100#16810964C2211yescharacteristic
101#16810933C2211yescharacteristic, complemented
102#16810929C2211yescharacteristic, complemented
103#16810926C2211yescharacteristic
104#16810922C2211yescharacteristic
105#16810917C2211yescharacteristic, complemented
106#16810912C2211yescharacteristic
107#16810908C2211yescharacteristic, complemented
108#16810907C2211yescharacteristic, complemented
109#16810903C2211yescharacteristic, complemented
110#16810902C2211yescharacteristic
111#16810848C2211yescharacteristic
112#16810848C2211yescharacteristic
113#16810847C2211yescharacteristic
114#16810846C2211yescharacteristic
115#16810846C2211yescharacteristic
116#16810846C2211yescharacteristic
117#16810846C2211yescharacteristic
118#16810845C2211yescharacteristic
119#16810845C2211yescharacteristic
120#16810844C2211yescharacteristic, complemented
121#16810844C2211yescharacteristic, complemented
122#16810844C2211yescharacteristic, complemented
123#16810844C2211yescharacteristic, complemented
124#16810843C2211yescharacteristic, complemented
125#16810840C2211yescharacteristic
126#16810838C2211yescharacteristic
127#16810838C2211yescharacteristic
128#16810837C2211yescharacteristic
129#16810837C2211yescharacteristic
130#16810836C2211yescharacteristic, complemented
131#16810833C2211yescharacteristic, complemented
132#16810832C2211yescharacteristic, complemented
133#16810832C2211yescharacteristic, complemented
134#16810832C2211yescharacteristic, complemented
135#16810832C2211yescharacteristic, complemented
136#16810831C2211yescharacteristic, complemented
137#16810828C2211yescharacteristic, complemented
138#16810827C2211yescharacteristic
139#16810827C2211yescharacteristic
140#16810826C2211yescharacteristic, complemented
141#16810822C2211yescharacteristic
142#16810822C2211yescharacteristic
143#16810821C2211yescharacteristic
144#16810816C2211yescharacteristic
145#16810785C2211yescharacteristic
146#16810785C2211yescharacteristic
147#16810781C2211yescharacteristic
148#16810781C2211yescharacteristic
149#16810778C2211yescharacteristic
150#16810776C2211yescharacteristic
151#16810776C2211yescharacteristic
152#16810773C2211yescharacteristic
153#16810761C2211yescharacteristic
154#16810756C2211yescharacteristic
155#16810751C2211yescharacteristic, complemented
156#16810751C2211yescharacteristic, complemented
157#16810751C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159#16810750C2211yescharacteristic, complemented
160#16810750C2211yescharacteristic, complemented
161#16810747C2211yescharacteristic, complemented
162#16810747C2211yescharacteristic, complemented
163#16810732C2211yescharacteristic
164#16810729C2211yescharacteristic, complemented
165#16810729C2211yescharacteristic, complemented
166#16810727C2211yescharacteristic, complemented
167#16810726C2211yescharacteristic
168#16810722C2211yescharacteristic
169#16810722C2211yescharacteristic
170#16810720C2211yescharacteristic, complemented
171#16810717C2211yescharacteristic, complemented
172#16810717C2211yescharacteristic, complemented
173C4×#11719925C2211yescharacteristic, complemented
174C4×#11719925C2211yescharacteristic, complemented
175#16810715C2211yescharacteristic, complemented
176#16810714C2211yescharacteristic, complemented
177#16810710C2211yescharacteristic
178#16810710C2211yescharacteristic
179C4×#11719923C2211yescharacteristic, complemented
180C4×#11719923C2211yescharacteristic, complemented
181#16810708C2211yescharacteristic
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
198C53×#442C2211yescharacteristic, complemented
199C53×#441C2211yescharacteristic, complemented
200C53×#440C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic, complemented
202C53×#432C2211yescharacteristic
203C22×Dic106C2311yescharacteristic
204C22×D212C2311yescharacteristic
205C2×Dic212C2311yescharacteristic
206C2×Dic212C2311yescharacteristic
207C2×Dic212C2311yescharacteristic
208C2×Dic212C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719925C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719913C2311yescharacteristic
214C2×#11719913C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719913C2311yescharacteristic
217C2×#11719923C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×#11719924C2311yescharacteristic
223C2×#11719922C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225#13133217—21no—
226#13133217D411yescharacteristic
227#13133217D411yescharacteristic
228#13133217C2311yescharacteristic
229#13133217C2311yescharacteristic
230#13133216—21no—
231#13133216—21no—
232#13133216—21no—
233#13133216—21no—
234#13133216C2311yescharacteristic
235#13133216C2311yescharacteristic
236#13133215C2311yescharacteristic
237#13133215C2311yescharacteristic
238#13133215C2311yescharacteristic
239#13133215C2311yescharacteristic
240#13133213C2311yescharacteristic
241#13133213C2311yescharacteristic
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133211—21no—
247#13133211—21no—
248#13133211—21no—
249#13133211—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133210—21no—
256#13133210—21no—
257#13133210—21no—
258#13133210—21no—
259#13133210—21no—
260#13133210—21no—
261#13133210—21no—
262#13133209—21no—
263#13133209—21no—
264#13133209D411yescharacteristic
265#13133209D411yescharacteristic
266#13133208—21no—
267#13133208—21no—
268#13133208C2311yescharacteristic
269#13133208C2311yescharacteristic
270#13133207—21no—
271#13133207—21no—
272#13133207—21no—
273#13133207—21no—
274#13133207—21no—
275#13133207—21no—
276#13133207—21no—
277#13133207—21no—
278#13133206C2311yescharacteristic
279#13133206C2311yescharacteristic
280#13133205—21no—
281#13133205—21no—
282#13133205C2311yescharacteristic
283#13133205C2311yescharacteristic
284#13133205C2311yescharacteristic
285#13133205C2311yescharacteristic
286#13133204—21no—
287#13133204—21no—
288#13133204C2311yescharacteristic
289#13133204C2311yescharacteristic
290#13133204C2311yescharacteristic
291#13133204C2311yescharacteristic
292#13133203—21no—
293#13133203—21no—
294#13133203—21no—
295#13133203—21no—
296#13133200—21no—
297#13133200—21no—
298#13133200—21no—
299#13133200—21no—
300#13133199—21no—
301#13133199—21no—
302#13133199—21no—
303#13133199—21no—
304#13133198—21no—
305#13133198—21no—
306#13133198—21no—
307#13133198—21no—
308#13133196—21no—
309#13133196—21no—
310#13133196—21no—
311#13133196—21no—
312#13133196—21no—
313#13133196D411yescharacteristic
314#13133196D411yescharacteristic
315#13133196D411yescharacteristic
316#13133196D411yescharacteristic
317#13133196C2311yescharacteristic
318#13133196C2311yescharacteristic
319#13133195—21no—
320#13133195—21no—
321#13133195—21no—
322#13133195—21no—
323#13133194—21no—
324#13133194—21no—
325#13133194—21no—
326#13133194—21no—
327#13133194—21no—
328#13133194—21no—
329#13133191—21no—
330#13133191—21no—
331#13133185—21no—
332#13133185—21no—
333Q8×Dic53C2311yescharacteristic
334Q8×Dic53C2311yescharacteristic
335C4×Dic106—21no—
336C4×Dic106—21no—
337C4×Dic106—21no—
338C4×Dic106—21no—
339C4×Dic106—21no—
340C4×Dic106C2311yescharacteristic
341C4×Dic106C2311yescharacteristic
342C4×Dic106C2311yescharacteristic
343C4×Dic106C2311yescharacteristic
344C4×Dic106C2311yescharacteristic
345C4×Dic106C2311yescharacteristic
346#13133182—21no—
347#13133182—21no—
348#13133182C2311yescharacteristic
349#13133182C2311yescharacteristic
350#13133182C2311yescharacteristic
351#13133182C2311yescharacteristic
352#13133182C2311yescharacteristic
353#13133182C2311yescharacteristic
354#13133182C2311yescharacteristic
355#13133182C2311yescharacteristic
356C4×D212—21no—
357C4×D212—21no—
358D4×Dic53C2311yescharacteristic
359D4×Dic53C2311yescharacteristic
360#13133179C2311yescharacteristic
361#13133179C2311yescharacteristic
362#13133179C2311yescharacteristic
363#13133179C2311yescharacteristic
364C4×C22⋊D53—21no—
365C4×C22⋊D53—21no—
366C4×C22⋊D53—21no—
367C4×C22⋊D53—21no—
368#13133176—21no—
369#13133176—21no—
370#13133176C2311yescharacteristic
371#13133176C2311yescharacteristic
372#13133174—21no—
373#13133174—21no—
374#13133174—21no—
375#13133174—21no—
376#13133173—21no—
377#13133173—21no—
378#13133173—21no—
379#13133173—21no—
380C2×C4⋊Dic53—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#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
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
476#97×C53C2311yescharacteristic
477#97×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—
498C22×Dic53—21no—
499C22×Dic53—21no—
500C22×Dic53—21no—
501C2×D212—21no—
502C2×D212—41no—
503C2×D212—41no—
504C2×D212C2411yescharacteristic
505C2×D212C2411yescharacteristic
506C2×C4×D53—21no—
507C2×C4×D53—21no—
508C2×C4×D53—21no—
509C2×C4×D53—21no—
510C2×Dic106—21no—
511C2×Dic106—21no—
512C2×Dic106—21no—
513C2×Dic106—21no—
514C2×Dic106—41no—
515C2×Dic106—41no—
516C2×Dic106C2×D411yescharacteristic
517C2×Dic106C2×D411yescharacteristic
518C2×Dic106C2×D411yescharacteristic
519C2×Dic106C2×D411yescharacteristic
520C2×Dic106C2411yescharacteristic
521C2×Dic106C2411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524Q16×C53—41no—
525SD16×C53—41no—
526SD16×C53—41no—
527D8×C53—41no—
528C2×C8×C53C2411yescharacteristic
529C2×C8×C53C2411yescharacteristic
530C2×C8×C53C2411yescharacteristic
531C2×C8×C53C2411yescharacteristic
532C4⋊C4×C53—21no—
533C4⋊C4×C53—21no—
534C4⋊C4×C53—21no—
535C4⋊C4×C53—21no—
536C4⋊C4×C53—21no—
537C4⋊C4×C53—21no—
538C4⋊C4×C53C2411yescharacteristic
539C4⋊C4×C53C2411yescharacteristic
540C4⋊C4×C53C2411yescharacteristic
541C4⋊C4×C53C2411yescharacteristic
542C22⋊C4×C53—21no—
543C22⋊C4×C53—21no—
544C22⋊C4×C53—21no—
545C22⋊C4×C53—21no—
546C22⋊C4×C53—21no—
547C22⋊C4×C53—21no—
548C22⋊C4×C53—21no—
549C22⋊C4×C53—21no—
550C42×C53—21no—
551C42×C53—21no—
552C42×C53—21no—
553C42×C53—21no—
554C42×C53C2×D411yescharacteristic
555C42×C53C2×D411yescharacteristic
556C42×C53C2411yescharacteristic
557C42×C53C2411yescharacteristic
558C22⋊Dic53—21no—
559C22⋊Dic53—21no—
560C22⋊Dic53—21no—
561C22⋊Dic53—21no—
562C22⋊Dic53—21no—
563C22⋊Dic53—21no—
564C22⋊Dic53—21no—
565C22⋊Dic53—21no—
566C22⋊Dic53—21no—
567C22⋊Dic53—21no—
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53C2×D411yescharacteristic
571C22⋊Dic53C2×D411yescharacteristic
572C22⋊Dic53C2×D411yescharacteristic
573C22⋊Dic53C2×D411yescharacteristic
574#11719925—41no—
575#11719925—41no—
576#11719925—41no—
577#11719925—41no—
578#11719924—41no—
579#11719924—41no—
580#11719923—41no—
581#11719923—41no—
582#11719923—41no—
583#11719923—41no—
584#11719922—41no—
585#11719922—41no—
586#11719921—21no—
587#11719921—21no—
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—
602C4⋊Dic53—21no—
603C4⋊Dic53—21no—
604C4⋊Dic53—21no—
605C4⋊Dic53—21no—
606C4⋊Dic53—21no—
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53C2×D411yescharacteristic
610C4⋊Dic53C2×D411yescharacteristic
611C4⋊Dic53C2×D411yescharacteristic
612C4⋊Dic53C2×D411yescharacteristic
613C4⋊Dic53C2×D411yescharacteristic
614C4⋊Dic53C2×D411yescharacteristic
615C4⋊Dic53C2×D411yescharacteristic
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2411yescharacteristic
618C4⋊Dic53C2411yescharacteristic
619#11719919—21no—
620#11719919—21no—
621#11719919—21no—
622#11719919—21no—
623#11719919—21no—
624#11719919—21no—
625#11719919—21no—
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#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
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—
673Dic212—41no—
674Dic212—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—42no—
685C22×D53—81no—
686C22×D53—81no—
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691D4×C53—21no—
692D4×C53—21no—
693D4×C53—21no—
694D4×C53—21no—
695D4×C53—42no—
696D4×C53—81no—
697C2×C4×C53—21no—
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—41no—
706C2×C4×C53—41no—
707C2×C4×C53—42no—
708C2×C4×C53—42no—
709C2×C4×C53—81no—
710C2×C4×C53—81no—
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C2511yescharacteristic
717C22⋊D53—81no—
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—42no—
728C2×Dic53—81no—
729C2×Dic53—81no—
730C2×Dic53C22×D411yescharacteristic
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737C2×Dic53C22×D411yescharacteristic
738D212—21no—
739D212—21no—
740D212—21no—
741D212—21no—
742D212—42no—
743C4×D53—81no—
744C4×D53—81no—
745C4×D53—81no—
746C4×D53—81no—
747Dic106—21no—
748Dic106—21no—
749Dic106—21no—
750Dic106—21no—
751Dic106—21no—
752Dic106—21no—
753Dic106—21no—
754Dic106—21no—
755Dic106—41no—
756Dic106—41no—
757Dic106—41no—
758Dic106—41no—
759Dic106—42no—
760Dic106—81no—
761Dic106—81no—
762Dic106—81no—
763C8×C53—21no—
764C8×C53—21no—
765C8×C53—21no—
766C8×C53—21no—
767#88322—21no—
768#88322—21no—
769#88322—21no—
770#88322—21no—
771#61925—531nomaximal, Sylow
772C22×C53—21no—
773C22×C53—21no—
774C22×C53—21no—
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53—41no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53C23×D411yescharacteristic
782C2×D53—41no—
783C2×D53—41no—
784C2×D53—41no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—162no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—41no—
795C4×C53—41no—
796C4×C53—41no—
797C4×C53—41no—
798C4×C53—41no—
799C4×C53—41no—
800C4×C53#58511yescharacteristic
801C4×C53#58511yescharacteristic
802Dic53—21no—
803Dic53—21no—
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—21no—
809Dic53—21no—
810Dic53—41no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53—41no—
815Dic53—41no—
816#3555—531no—
817#3510—531no—
818#3402—531no—
819#3402—531no—
820#3401—531no—
821#3401—531no—
822#3400—531no—
823#3398—531no—
824#3394—531no—
825#3393—531no—
826#3377—531no—
827#3376—531no—
828#3375—531no—
829#3371—531no—
830#3370—531no—
831#3369—531no—
832#3365—531no—
833#3364—531no—
834#3225—531no—
835#3224—531no—
836#3223—531no—
837#3222—531no—
838#3215—531no—
839#3211—531no—
840#3127—531no—
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111D5311yescharacteristic, complemented
845#3107—531no—
846#2985—531no—
847C2×C53—41no—
848C2×C53—81no—
849C2×C53—81no—
850C2×C53#348711yescharacteristic
851C2×C53#358411yescharacteristic
852C2×C53#358611yescharacteristic
853D53—81no—
854D53—81no—
855#563—1061no—
856#563—1061no—
857#559—531no—
858#559—531no—
859#559—531no—
860#559—531no—
861Q82—531no—
862#557—531no—
863#557—531no—
864#557—531no—
865#556—531no—
866#556—531no—
867#556—531no—
868#556—531no—
869#556—531no—
870#556—531no—
871#556—531no—
872#556—1061no—
873#554—531no—
874#552—1061no—
875#551—1061no—
876#551—1061no—
877#551—1061no—
878#551—1061no—
879#544—1061no—
880#542—531no—
881#542—531no—
882#542—1061no—
883#542—1061no—
884#541—531no—
885#541—531no—
886#541—1061no—
887#541—1061no—
888#541—1061no—
889#536—531no—
890#535—531no—
891#533—531no—
892#533—531no—
893#529—1061no—
894#529—1061no—
895#529C2×D5311yescharacteristic
896C2×#124—531no—
897#519—531no—
898#518—531no—
899C4×#41C2×D5311yescharacteristic
900#497—531no—
901#497—531no—
902#497—531no—
903#497—531no—
904#497—531no—
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494—531no—
911#492—531no—
912#491—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#489—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#488—531no—
922#487—531no—
923#486—531no—
924#485—531no—
925#485—531no—
926#485C2×D5311yescharacteristic
927#482C2×D5311yescharacteristic
928#479—531no—
929#479—531no—
930#479C2×D5311yescharacteristic, complemented
931#478—531no—
932#478—531no—
933#478C2×D5311yescharacteristic, complemented
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474—531no—
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464—531no—
954#464C2×D5311yescharacteristic, complemented
955#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463—531no—
961#463C2×D5311yescharacteristic, complemented
962#462—531no—
963#462—531no—
964#462—531no—
965#462—531no—
966#462—531no—
967#462—531no—
968#461—531no—
969#461—531no—
970#461—531no—
971#461—531no—
972#460—531no—
973#460—531no—
974#460—531no—
975#459—531no—
976#452—531no—
977#452—531no—
978#452C2×D5311yescharacteristic
979#451—531no—
980#451—531no—
981#451—531no—
982#450—531no—
983#450—531no—
984#450—531no—
985#449C2×D5311yescharacteristic
986#448—531no—
987#447—531no—
988#446—531no—
989#446—531no—
990#446—531no—
991#446—531no—
992#446—531no—
993#446—531no—
994C8×Q8—531no—
995C8×Q8—531no—
996#442—531no—
997#442C2×D5311yescharacteristic, complemented
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441C2×D5311yescharacteristic, complemented
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440C2×D5311yescharacteristic, complemented
1007#440C2×D5311yescharacteristic, complemented
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16—531no—
1012C4×Q16—531no—
1013C4×SD16—531no—
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×D8—531no—
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433—531no—
1024#432C2×D5311yescharacteristic
1025#431—531no—
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41C22×D5311yescharacteristic
1028C22×Q8—531no—
1029C22×D4—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
1035C2×Q16—531no—
1036C2×Q16—531no—
1037C2×Q16—531no—
1038C2×Q16C22×D5311yescharacteristic
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16C22×D5311yescharacteristic
1050C2×SD16C22×D5311yescharacteristic
1051C2×D8—531no—
1052C2×D8—531no—
1053C2×D8C22×D5311yescharacteristic
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—531no—
1062C4⋊Q8—531no—
1063C4⋊Q8—531no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8—1061no—
1067C4⋊Q8—1061no—
1068C4⋊Q8—1061no—
1069#127—531no—
1070#127—531no—
1071#126—21no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
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—1061no—
1097#125—1061no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#125—1061no—
1105#125—1061no—
1106#125—1061no—
1107#125—1061no—
1108#125C22×D5311yescharacteristic
1109#124—531no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—531no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124C22×D5311yescharacteristic
1128#123—21no—
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—
1141C22⋊Q8—531no—
1142C22⋊Q8—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
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⋊Q8C22×D5311yescharacteristic
1163#121—1061no—
1164#121—1061no—
1165#121C22×D5311yescharacteristic
1166#120—1061no—
1167#120—1061no—
1168C4×Q8—531no—
1169C4×Q8—531no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
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—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8—1061no—
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4C22×D5311yescharacteristic
1210C4×D4C22×D5311yescharacteristic
1211C4×D4C22×D5311yescharacteristic
1212#117—21no—
1213#117—21no—
1214#117—531no—
1215#117—531no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117—1061no—
1221#117—1061no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117C22×D5311yescharacteristic
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C42—21no—
1233C2×C42C22×D5311yescharacteristic
1234#107—531no—
1235#107—531no—
1236#107C22×D5311yescharacteristic
1237#107C22×D5311yescharacteristic
1238#106—531no—
1239#106—531no—
1240#106C22×D5311yescharacteristic
1241#106C22×D5311yescharacteristic
1242C4⋊C8—531no—
1243C4⋊C8—531no—
1244C4⋊C8—531no—
1245C4⋊C8—531no—
1246C4⋊C8—531no—
1247C4⋊C8—531no—
1248C4⋊C8—531no—
1249C4⋊C8—531no—
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8C22×D5311yescharacteristic
1253C4⋊C8C22×D5311yescharacteristic
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103—531no—
1260#103—531no—
1261#103—531no—
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103—531no—
1267#103—531no—
1268#103C22×D5311yescharacteristic
1269#103C22×D5311yescharacteristic
1270#103C22×D5311yescharacteristic
1271#103C22×D5311yescharacteristic
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102C22×D5311yescharacteristic
1283#102C22×D5311yescharacteristic
1284#102C22×D5311yescharacteristic
1285#102C22×D5311yescharacteristic
1286C22⋊C8—531no—
1287C22⋊C8—531no—
1288C22⋊C8C22×D5311yescharacteristic
1289C22⋊C8C22×D5311yescharacteristic
1290#97—531no—
1291#97—531no—
1292#97—531no—
1293#97—531no—
1294#97C22×D5311yescharacteristic
1295#97C22×D5311yescharacteristic
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8—531no—
1302C24—1061no—
1303#41—41no—
1304#41—41no—
1305C2×Q8—531no—
1306C2×Q8—531no—
1307C2×Q8—531no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—531no—
1312C2×Q8—531no—
1313C2×Q8—1061no—
1314C2×Q8—1061no—
1315C2×Q8—1061no—
1316C2×Q8—1061no—
1317C2×Q8—2121no—
1318C2×Q8—2121no—
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—531no—
1324C2×D4—531no—
1325C2×D4—1061no—
1326C2×D4—1061no—
1327C2×D4—1061no—
1328C2×D4—1061no—
1329C2×D4—1061no—
1330C2×D4—2121no—
1331C2×D4—2121no—
1332C2×D4C23×D5311yescharacteristic
1333C2×D4C23×D5311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—1061no—
1339C22×C4—1061no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4D4×D5311yescharacteristic
1346C22×C4D4×D5311yescharacteristic
1347C22×C4C23×D5311yescharacteristic
1348Q16—41no—
1349Q16—2121no—
1350Q16—2121no—
1351Q16—2121no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—41no—
1358SD16—41no—
1359SD16—2121no—
1360SD16—2121no—
1361SD16—2121no—
1362SD16—2121no—
1363SD16—2121no—
1364SD16—2121no—
1365SD16—2121no—
1366SD16—2121no—
1367SD16—2121no—
1368SD16—2121no—
1369D8—41no—
1370D8—2121no—
1371D8—2121no—
1372C2×C8—531no—
1373C2×C8—531no—
1374C2×C8—531no—
1375C2×C8—531no—
1376C2×C8C23×D5311yescharacteristic
1377C2×C8C23×D5311yescharacteristic
1378C2×C8C23×D5311yescharacteristic
1379C2×C8C23×D5311yescharacteristic
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—531no—
1387C4⋊C4—531no—
1388C4⋊C4—531no—
1389C4⋊C4—531no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—531no—
1395C4⋊C4—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—1061no—
1405C4⋊C4—1061no—
1406C4⋊C4—1061no—
1407C4⋊C4—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
1410C4⋊C4—1061no—
1411C4⋊C4—1061no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
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⋊C4C23×D5311yescharacteristic
1436C4⋊C4C23×D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—531no—
1448C22⋊C4—531no—
1449C22⋊C4—531no—
1450C22⋊C4—531no—
1451C22⋊C4—1061no—
1452C22⋊C4—1061no—
1453C22⋊C4—1061no—
1454C22⋊C4—1061no—
1455C22⋊C4—1061no—
1456C22⋊C4—1061no—
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—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—531no—
1484C42—531no—
1485C42—531no—
1486C42—531no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42D4×D5311yescharacteristic
1500C42D4×D5311yescharacteristic
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—21no—
1504C23—21no—
1505C23—1061no—
1506C23—1061no—
1507C23—4241no—
1508C23—4241no—
1509C23—2122no—
1510C23C2×D4×D5311yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—1061no—
1516Q8—1061no—
1517Q8—1061no—
1518Q8—1061no—
1519Q8—1061no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—4241no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—2121no—
1527Q8—2121no—
1528Q8—2121no—
1529Q8—2121no—
1530Q8—2122no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—42no—
1536D4—81no—
1537D4—1061no—
1538D4—1061no—
1539D4—1061no—
1540D4—1061no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2122no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—42no—
1557C2×C4—42no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—531no—
1561C2×C4—531no—
1562C2×C4—531no—
1563C2×C4—531no—
1564C2×C4—531no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—1061no—
1569C2×C4—1061no—
1570C2×C4—1061no—
1571C2×C4—1061no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—4241no—
1575C2×C4—4241no—
1576C2×C4—4241no—
1577C2×C4—4241no—
1578C2×C4—4241no—
1579C2×C4—4241no—
1580C2×C4—2122no—
1581C2×C4C2×D4×D5311yescharacteristic
1582C2×C4C2×D4×D5311yescharacteristic
1583C2×C4C2×D4×D5311yescharacteristic
1584C2×C4C2×D4×D5311yescharacteristic
1585C2×C4C2×D4×D5311yescharacteristic
1586C2×C4C24×D5311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1061no—
1592C8—1061no—
1593C8—1061no—
1594C8—1061no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—8482no—
1605C22—2121no—
1606C22—2121no—
1607C22—2121no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C22×D4×D5311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—1061no—
1624C4—1061no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—1061no—
1631C4—2121no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145911yescharacteristic
1638C4#1681145911yescharacteristic
1639C2—41no—
1640C2—81no—
1641C2—81no—
1642C2—4241no—
1643C2—4241no—
1644C2#2028836911yescharacteristic
1645C2#2028948811yescharacteristic
1646C2#2028949911yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3111C2
socleC22×C53C23×D4
prime radical#20285807C2
hypercenter#3111D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #20289205C2semidirect
2. #20288611C2semidirect
3. #20287795C2semidirect
4. #20287794C2semidirect
5. #20287786C2semidirect
6. #20287779C2semidirect
7. #20287769C2semidirect
8. #20287747C2semidirect
9. #20287714C2semidirect
10. #20287698C2semidirect
11. #20287555C2semidirect
12. #20287547C2semidirect
13. #20287530C2semidirect
14. #20287481C2semidirect
15. #20287473C2semidirect
16. #20287456C2semidirect
17. #20287414C2semidirect
18. #20287403C2semidirect
19. #20285820C2semidirect
21. #20285796C2semidirect
22. #20285785C2semidirect
23. #20285720C2semidirect
24. #20285676C2semidirect
25. #20285011C2semidirect
26. #20284963C2semidirect
27. #20284939C2semidirect
28. #20284894C2semidirect
29. #20284786C2semidirect
30. #20283812C2semidirect
31. C53×#3111C2semidirect
38. Q8×Dic106C22semidirect
39. #16811351C22semidirect
40. #16811350C22semidirect
41. #16811350C22semidirect
47. #16811343C22semidirect
48. #16811342C22semidirect
49. #16811342C22semidirect
50. #16811330C22semidirect
78. #16811014C22semidirect
79. #16811014C22semidirect
81. #16811006C22semidirect
85. #16811001C22semidirect
87. #16810990C22semidirect
92. #16810981C22semidirect
96. #16810976C22semidirect
97. #16810972C22semidirect
101. #16810933C22semidirect
102. #16810929C22semidirect
105. #16810917C22semidirect
107. #16810908C22semidirect
108. #16810907C22semidirect
109. #16810903C22semidirect
120. #16810844C22semidirect
121. #16810844C22semidirect
122. #16810844C22semidirect
123. #16810844C22semidirect
124. #16810843C22semidirect
130. #16810836C22semidirect
131. #16810833C22semidirect
132. #16810832C22semidirect
133. #16810832C22semidirect
134. #16810832C22semidirect
135. #16810832C22semidirect
136. #16810831C22semidirect
137. #16810828C22semidirect
140. #16810826C22semidirect
155. #16810751C22semidirect
156. #16810751C22semidirect
157. #16810751C22semidirect
158. #16810751C22semidirect
159. #16810750C22semidirect
160. #16810750C22semidirect
161. #16810747C22semidirect
162. #16810747C22semidirect
164. #16810729C22semidirect
165. #16810729C22semidirect
166. #16810727C22semidirect
170. #16810720C22semidirect
171. #16810717C22semidirect
172. #16810717C22semidirect
173. C4×#11719925C22semidirect
174. C4×#11719925C22semidirect
175. #16810715C22semidirect
176. #16810714C22semidirect
179. C4×#11719923C22semidirect
180. C4×#11719923C22semidirect
192. C53×#479C22semidirect
193. C53×#478C22semidirect
194. C53×#464C22semidirect
195. C53×#463C22semidirect
198. C53×#442C22semidirect
199. C53×#441C22semidirect
200. C53×#440C22semidirect
201. C53×#440C22semidirect
844. #3111D53semidirect
930. #479C2×D53semidirect
933. #478C2×D53semidirect
954. #464C2×D53semidirect
961. #463C2×D53semidirect
997. #442C2×D53semidirect
1001. #441C2×D53semidirect
1006. #440C2×D53semidirect
1007. #440C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202892052
#202886112
#202877952
#202877942
#202877862
#202877792
#202877692
#202877472
#202877142
#202876982
#202875552
#202875472
#202875302
#202874812
#202874732
#202874562
#202874142
#202874032
#202858202
#202858072
#202857962
#202857852
#202857202
#202856762
#202850112
#202849632
#202849392
#202848942
#202847862
#202838122
C53×#31112
#6192553