Finite Group Databasebeta

← #28276147

Subgroups — #28276147

Order 13568.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289207C211yesmaximal, characteristic, complemented
2#20288605C211yesmaximal, characteristic
3#20287771C211yesmaximal, characteristic, complemented
4#20287770C211yesmaximal, characteristic, complemented
5#20287769C211yesmaximal, characteristic, complemented
6#20287766C211yesmaximal, characteristic, complemented
7#20287749C211yesmaximal, characteristic, complemented
8#20287747C211yesmaximal, characteristic, complemented
9#20287746C211yesmaximal, characteristic, complemented
10#20287745C211yesmaximal, characteristic, complemented
11#20287564C211yesmaximal, characteristic, complemented
12#20287563C211yesmaximal, characteristic, complemented
13#20287552C211yesmaximal, characteristic, complemented
14#20287486C211yesmaximal, characteristic, complemented
15#20287483C211yesmaximal, characteristic, complemented
16#20287482C211yesmaximal, characteristic, complemented
17#20287481C211yesmaximal, characteristic, complemented
18#20285799C211yesmaximal, characteristic, complemented
19#20285797C211yesmaximal, characteristic, complemented
20#20285790C211yesmaximal, characteristic
21#20285784C211yesmaximal, characteristic
22#20285719C211yesmaximal, characteristic, complemented
23#20285716C211yesmaximal, characteristic, complemented
24#20285017C211yesmaximal, characteristic, complemented
25#20285012C211yesmaximal, characteristic, complemented
26#20284969C211yesmaximal, characteristic, complemented
27#20284966C211yesmaximal, characteristic, complemented
28#20284880C211yesmaximal, characteristic, complemented
29#20284875C211yesmaximal, characteristic, complemented
30#20283818C211yesmaximal, characteristic, complemented
31C53×#3377C211yesmaximal, characteristic, complemented
32C53⋊#564—21no—
33C53⋊#564—21no—
34#16811358C2211yescharacteristic
35#16811358C2211yescharacteristic
36#16811356C2211yescharacteristic
37#16811355C2211yescharacteristic
38#16811352C2211yescharacteristic, complemented
39#16811351C2211yescharacteristic, complemented
40#16811351C2211yescharacteristic, complemented
41#16811351C2211yescharacteristic, complemented
42#16811350C2211yescharacteristic, complemented
43#16811350C2211yescharacteristic, complemented
44#16811349—21no—
45#16811348—21no—
46#16811348C2211yescharacteristic, complemented
47#16811347C2211yescharacteristic
48#16811345C2211yescharacteristic
49#16811342C2211yescharacteristic
50#16811300—21no—
51#16811298—21no—
52#16811298—21no—
53#16811297—21no—
54#16811243—21no—
55#16811239—21no—
56#16811236C2211yescharacteristic
57#16811236C2211yescharacteristic
58#16811234—21no—
59#16811232—21no—
60#16811232—21no—
61#16811231—21no—
62#16811231C2211yescharacteristic
63#16811231C2211yescharacteristic
64#16811198C2211yescharacteristic
65#16811191C2211yescharacteristic
66#16811178C2211yescharacteristic
67#16811177C2211yescharacteristic
68#16811177C2211yescharacteristic
69#16811156—21no—
70#16811151—21no—
71#124×D53C2211yescharacteristic
72#16811099C2211yescharacteristic
73#16811095C2211yescharacteristic
74C4×#11719949C2211yescharacteristic
75#16811018C2211yescharacteristic
76#16811018C2211yescharacteristic
77#16811017C2211yescharacteristic
78#16811017C2211yescharacteristic, complemented
79#16811016C2211yescharacteristic
80#16811016C2211yescharacteristic
81#16811016C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic
83#16811002C2211yescharacteristic, complemented
84#16811001C2211yescharacteristic, complemented
85#16810996C2211yescharacteristic
86#16810994C2211yescharacteristic
87#16810990C2211yescharacteristic, complemented
88#16810989C2211yescharacteristic
89#16810986C2211yescharacteristic
90#16810985C2211yescharacteristic
91#16810984C2211yescharacteristic
92#16810981C2211yescharacteristic
93#16810980C2211yescharacteristic, complemented
94#16810979C2211yescharacteristic
95#16810979C2211yescharacteristic, complemented
96#16810967C2211yescharacteristic
97#16810966C2211yescharacteristic
98#16810966C2211yescharacteristic
99#16810963C2211yescharacteristic
100#16810932C2211yescharacteristic, complemented
101#16810929C2211yescharacteristic, complemented
102#16810927C2211yescharacteristic, complemented
103#16810926C2211yescharacteristic
104#16810921C2211yescharacteristic
105#16810920C2211yescharacteristic
106#16810916C2211yescharacteristic, complemented
107#16810912C2211yescharacteristic, complemented
108#16810910C2211yescharacteristic, complemented
109#16810848C2211yescharacteristic
110#16810848C2211yescharacteristic
111#16810848C2211yescharacteristic
112#16810848C2211yescharacteristic
113#16810848C2211yescharacteristic, complemented
114#16810848C2211yescharacteristic, complemented
115#16810846C2211yescharacteristic
116#16810846C2211yescharacteristic, complemented
117#16810845C2211yescharacteristic
118#16810845C2211yescharacteristic, complemented
119#16810844C2211yescharacteristic
120#16810844C2211yescharacteristic
121#16810842C2211yescharacteristic
122#16810842C2211yescharacteristic
123#16810834C2211yescharacteristic, complemented
124#16810833C2211yescharacteristic, complemented
125#16810833C2211yescharacteristic, complemented
126#16810832C2211yescharacteristic, complemented
127#16810832C2211yescharacteristic, complemented
128#16810832C2211yescharacteristic, complemented
129#16810831C2211yescharacteristic, complemented
130#16810831C2211yescharacteristic, complemented
131#16810830C2211yescharacteristic, complemented
132#16810829C2211yescharacteristic
133#16810829C2211yescharacteristic, complemented
134#16810828C2211yescharacteristic
135#16810827C2211yescharacteristic
136#16810827C2211yescharacteristic, complemented
137#16810826C2211yescharacteristic
138#16810824C2211yescharacteristic
139#16810823C2211yescharacteristic
140#16810822C2211yescharacteristic
141#16810822C2211yescharacteristic
142#16810788C2211yescharacteristic
143#16810788C2211yescharacteristic
144#16810788C2211yescharacteristic
145#16810784C2211yescharacteristic
146#16810780C2211yescharacteristic
147#16810780C2211yescharacteristic
148#16810780C2211yescharacteristic
149#16810777C2211yescharacteristic
150#16810775C2211yescharacteristic
151#16810775C2211yescharacteristic
152#16810775C2211yescharacteristic
153#16810772C2211yescharacteristic
154#16810754C2211yescharacteristic, complemented
155#16810753C2211yescharacteristic, complemented
156#16810752C2211yescharacteristic, complemented
157#16810752C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159#16810751C2211yescharacteristic, complemented
160#16810750C2211yescharacteristic, complemented
161#16810729C2211yescharacteristic, complemented
162#16810728C2211yescharacteristic, complemented
163#16810728C2211yescharacteristic, complemented
164#16810728C2211yescharacteristic, complemented
165#16810727C2211yescharacteristic, complemented
166#16810727C2211yescharacteristic, complemented
167#16810727C2211yescharacteristic, complemented
168#16810725C2211yescharacteristic
169#16810725C2211yescharacteristic, complemented
170#16810722C2211yescharacteristic
171#16810722C2211yescharacteristic, complemented
172#16810722C2211yescharacteristic, complemented
173#16810721C2211yescharacteristic, complemented
174#16810720C2211yescharacteristic
175C4×Dic212C2211yescharacteristic, complemented
176#16810717C2211yescharacteristic, complemented
177#16810715C2211yescharacteristic, complemented
178#16810714C2211yescharacteristic
179C4×#11719924C2211yescharacteristic
180#16810710C2211yescharacteristic
181C4×#11719923C2211yescharacteristic
182#16810685C2211yescharacteristic
183#16810683C2211yescharacteristic
184#16810683C2211yescharacteristic
185#16810682C2211yescharacteristic
186#16810679C2211yescharacteristic
187#16810678C2211yescharacteristic
188C53×#557C2211yescharacteristic, complemented
189C53×#556C2211yescharacteristic
190C53×#491C2211yescharacteristic, complemented
191C53×#489C2211yescharacteristic
192C53×#488C2211yescharacteristic
193C53×#479C2211yescharacteristic, complemented
194C53×#478C2211yescharacteristic
195C53×#477C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic
197C53×#464C2211yescharacteristic
198C53×#462C2211yescharacteristic, complemented
199C53×#446C2211yescharacteristic, complemented
200C53×#441C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic
202C4×Q16×C53C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×Q8×D53C2311yescharacteristic
205C2×D4×D53C2311yescharacteristic
206C2×Dic212C2311yescharacteristic
207C2×Dic212C2311yescharacteristic
208C2×Dic212C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719925C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719925C2311yescharacteristic
215C2×#11719925C2311yescharacteristic
216C2×#11719913C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719913C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719913C2311yescharacteristic
221C2×#11719913C2311yescharacteristic
222C2×#11719923C2311yescharacteristic
223C2×#11719923C2311yescharacteristic
224C2×#11719923C2311yescharacteristic
225C2×#11719924C2311yescharacteristic
226C2×#11719924C2311yescharacteristic
227#13133217C2311yescharacteristic
228#13133217C2311yescharacteristic
229#13133217C2311yescharacteristic
230#13133216—21no—
231#13133216—21no—
232#13133216D411yescharacteristic
233#13133216C2311yescharacteristic
234#13133215—21no—
235#13133215D411yescharacteristic
236#13133215C2311yescharacteristic
237#13133215C2311yescharacteristic
238#13133215C2311yescharacteristic
239#13133215C2311yescharacteristic
240#13133214C2311yescharacteristic
241#13133213C2311yescharacteristic
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212—21no—
249#13133212—21no—
250#13133212—21no—
251#13133211—21no—
252#13133211—21no—
253#13133211—21no—
254#13133210—21no—
255#13133210—21no—
256#13133209—21no—
257#13133209—21no—
258#13133209—21no—
259#13133209—21no—
260#13133209—21no—
261#13133208—21no—
262#13133208—21no—
263#13133208—21no—
264#13133208—21no—
265#13133208—21no—
266#13133208—21no—
267#13133208—21no—
268#13133208—21no—
269#13133208C2311yescharacteristic
270#13133208C2311yescharacteristic
271#13133207—21no—
272#13133207—21no—
273#13133207—21no—
274#13133207—21no—
275#13133207—21no—
276#13133207—21no—
277#13133207—21no—
278#13133207—21no—
279#13133207—21no—
280#13133207—21no—
281#13133207—21no—
282#13133207—21no—
283#13133207—21no—
284#13133207—21no—
285#13133207—21no—
286#13133207D411yescharacteristic
287#13133207D411yescharacteristic
288#13133206—21no—
289#13133206C2311yescharacteristic
290#13133206C2311yescharacteristic
291#13133206C2311yescharacteristic
292#13133205—21no—
293#13133205C2311yescharacteristic
294#13133205C2311yescharacteristic
295#13133204C2311yescharacteristic
296#13133203—21no—
297#13133203—21no—
298#13133203—21no—
299#13133203—21no—
300#13133202—21no—
301#13133202—21no—
302#13133202—21no—
303#13133202—21no—
304#13133202—21no—
305#13133202—21no—
306#13133201—21no—
307#13133200—21no—
308#13133199—21no—
309#13133199—21no—
310#13133197—21no—
311#13133197D411yescharacteristic
312#13133197C2311yescharacteristic
313#13133197C2311yescharacteristic
314#13133197C2311yescharacteristic
315#13133195—21no—
316#13133195—21no—
317#13133195—21no—
318#13133195—21no—
319#13133195D411yescharacteristic
320#13133195D411yescharacteristic
321#13133194—21no—
322#13133193—21no—
323#13133193D411yescharacteristic
324#13133193C2311yescharacteristic
325#13133190—21no—
326#13133190—21no—
327#13133187—21no—
328#13133187—21no—
329Q8×Dic53—21no—
330Q8×Dic53—21no—
331Q8×Dic53—21no—
332Q8×Dic53C2311yescharacteristic
333Q8×Dic53C2311yescharacteristic
334C4×Dic106—21no—
335C4×Dic106—21no—
336C4×Dic106—21no—
337C4×Dic106—21no—
338C4×Dic106—21no—
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341C4×Dic106C2311yescharacteristic
342C4×Dic106C2311yescharacteristic
343C4×Dic106C2311yescharacteristic
344C4×Dic106C2311yescharacteristic
345C4×Dic106C2311yescharacteristic
346#13133182—21no—
347#13133182—21no—
348#13133182—21no—
349#13133182C2311yescharacteristic
350#13133182C2311yescharacteristic
351#13133182C2311yescharacteristic
352#13133182C2311yescharacteristic
353#13133182C2311yescharacteristic
354#13133182C2311yescharacteristic
355#13133182C2311yescharacteristic
356C4×D212—21no—
357C4×D212—21no—
358C4×D212C2311yescharacteristic
359C4×D212C2311yescharacteristic
360D4×Dic53C2311yescharacteristic
361#13133179—21no—
362#13133179—21no—
363#13133179C2311yescharacteristic
364#13133179C2311yescharacteristic
365C4×C22⋊D53—21no—
366C4×C22⋊D53—21no—
367#13133177—21no—
368#13133177—21no—
369#13133175—21no—
370#13133175—21no—
371#13133175—21no—
372#13133175—21no—
373#13133175C2311yescharacteristic
374#13133174—21no—
375#13133174—21no—
376#13133174—21no—
377#13133174C2311yescharacteristic
378#13133174C2311yescharacteristic
379#13133173—21no—
380C2×#11719921—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C22⋊C4×D53—21no—
384C42×D53—21no—
385C42×D53C2311yescharacteristic
386#13133151C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391C4⋊#88322C2311yescharacteristic
392C4⋊#88322C2311yescharacteristic
393C4⋊#88322C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133137C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133129C2311yescharacteristic
423#13133129C2311yescharacteristic
424#13133129C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133128C2311yescharacteristic
427#13133128C2311yescharacteristic
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×Q16×C53C2311yescharacteristic
436C2×Q16×C53C2311yescharacteristic
437C2×SD16×C53C2311yescharacteristic
438C4⋊Q8×C53—21no—
439C4⋊Q8×C53C2311yescharacteristic
440C4⋊Q8×C53C2311yescharacteristic
441#126×C53—21no—
442#126×C53—21no—
443#125×C53—21no—
444#125×C53—21no—
445#125×C53C2311yescharacteristic
446#125×C53C2311yescharacteristic
447#124×C53C2311yescharacteristic
448#124×C53C2311yescharacteristic
449C22⋊Q8×C53—21no—
450C4×Q8×C53—21no—
451C4×Q8×C53C2311yescharacteristic
452C4×Q8×C53C2311yescharacteristic
453C4×Q8×C53C2311yescharacteristic
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456C4×Q8×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458#117×C53—21no—
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#106×C53C2311yescharacteristic
462C4⋊C8×C53C2311yescharacteristic
463C4⋊C8×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465#103×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#97×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C2×Q8×C53—21no—
480C2×Q8×C53C2×D411yescharacteristic
481C2×Q8×C53C2411yescharacteristic
482C2×Q8×C53C2411yescharacteristic
483C2×Q8×C53C2411yescharacteristic
484C2×D4×C53C2411yescharacteristic
485C22×C4×C53—21no—
486C2×C22⋊D53—21no—
487C2×C22⋊D53—21no—
488C2×C22⋊D53—21no—
489C22×Dic53—21no—
490#11719949—41no—
491#11719949—41no—
492Q8×D53—41no—
493Q8×D53—41no—
494D4×D53—41no—
495D4×D53—41no—
496C2×D212—21no—
497C2×D212—21no—
498C2×D212—21no—
499C2×D212C2411yescharacteristic
500C2×D212C2411yescharacteristic
501C2×C4×D53—21no—
502C2×C4×D53—21no—
503C2×C4×D53—21no—
504C2×C4×D53—21no—
505C2×C4×D53—21no—
506C2×C4×D53—21no—
507C2×C4×D53C2×D411yescharacteristic
508C2×C4×D53C2×D411yescharacteristic
509C2×C4×D53C2411yescharacteristic
510C2×Dic106—21no—
511C2×Dic106—21no—
512C2×Dic106C2×D411yescharacteristic
513C2×Dic106C2×D411yescharacteristic
514C2×Dic106C2×D411yescharacteristic
515C2×Dic106C2411yescharacteristic
516C2×Dic106C2411yescharacteristic
517C2×Dic106C2411yescharacteristic
518C2×Dic106C2411yescharacteristic
519Q16×C53—41no—
520Q16×C53—41no—
521SD16×C53—41no—
522C2×C8×C53C2411yescharacteristic
523C2×C8×C53C2411yescharacteristic
524C2×C8×C53C2411yescharacteristic
525C2×C8×C53C2411yescharacteristic
526C4⋊C4×C53—21no—
527C4⋊C4×C53—21no—
528C4⋊C4×C53—21no—
529C4⋊C4×C53—21no—
530C4⋊C4×C53—21no—
531C4⋊C4×C53—21no—
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×C53C2×D411yescharacteristic
539C4⋊C4×C53C2×D411yescharacteristic
540C4⋊C4×C53C2×D411yescharacteristic
541C4⋊C4×C53C2411yescharacteristic
542C4⋊C4×C53C2411yescharacteristic
543C4⋊C4×C53C2411yescharacteristic
544C4⋊C4×C53C2411yescharacteristic
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×C53—21no—
555C42×C53C2411yescharacteristic
556C42×C53C2411yescharacteristic
557C42×C53C2411yescharacteristic
558C22⋊Dic53—21no—
559C22⋊Dic53—21no—
560C22⋊Dic53—21no—
561#11719925—41no—
562#11719925—41no—
563#11719925—41no—
564#11719925—41no—
565#11719925—41no—
566#11719925—41no—
567#11719925—41no—
568#11719924—41no—
569#11719924—41no—
570#11719923—41no—
571#11719923—41no—
572#11719923—41no—
573#11719921—21no—
574#11719921—21no—
575#11719921—21no—
576#11719921—21no—
577#11719921—21no—
578#11719921—21no—
579#11719921—21no—
580#11719921—21no—
581#11719921—21no—
582#11719921—21no—
583#11719921—21no—
584#11719921—21no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921C2×D411yescharacteristic
593#11719921C2×D411yescharacteristic
594#11719921C2×D411yescharacteristic
595#11719921C2×D411yescharacteristic
596C4⋊Dic53—21no—
597C4⋊Dic53—21no—
598C4⋊Dic53—21no—
599C4⋊Dic53—21no—
600C4⋊Dic53—21no—
601C4⋊Dic53—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⋊Dic53C2411yescharacteristic
613C4⋊Dic53C2411yescharacteristic
614#11719919—21no—
615#11719919—21no—
616#11719919—21no—
617#11719919—21no—
618#11719919—21no—
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#11719919C2×D411yescharacteristic
638#11719919C2×D411yescharacteristic
639#11719919C2×D411yescharacteristic
640#11719919C2×D411yescharacteristic
641#11719919C2×D411yescharacteristic
642#11719919C2×D411yescharacteristic
643#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647C4×Dic53—21no—
648C4×Dic53—21no—
649C4×Dic53—21no—
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53C2×D411yescharacteristic
662C4×Dic53C2×D411yescharacteristic
663C4×Dic53C2411yescharacteristic
664C4×Dic53C2411yescharacteristic
665C4×Dic53C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669C2×#88322C2411yescharacteristic
670Dic212—41no—
671Dic212—41no—
672Dic212—41no—
673#11719913—41no—
674#11719913—41no—
675#11719913—41no—
676#11719913—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C22×D53—21no—
681C22×D53—21no—
682C22×D53—42no—
683C22×D53—81no—
684C22×D53—81no—
685C22×D53C22×D411yescharacteristic
686Q8×C53—21no—
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692Q8×C53—41no—
693Q8×C53—42no—
694D4×C53—21no—
695D4×C53—21no—
696C2×C4×C53—21no—
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—81no—
704C2×C4×C53C22×D411yescharacteristic
705C2×C4×C53C22×D411yescharacteristic
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C2511yescharacteristic
711C22⋊D53—42no—
712C22⋊D53—81no—
713C22⋊D53—81no—
714C2×Dic53—21no—
715C2×Dic53—21no—
716C2×Dic53—21no—
717C2×Dic53—21no—
718C2×Dic53—21no—
719C2×Dic53—21no—
720C2×Dic53—81no—
721C2×Dic53C22×D411yescharacteristic
722C2×Dic53C22×D411yescharacteristic
723C2×Dic53C22×D411yescharacteristic
724C2×Dic53C22×D411yescharacteristic
725C2×Dic53C22×D411yescharacteristic
726C2×Dic53C22×D411yescharacteristic
727C2×Dic53C22×D411yescharacteristic
728D212—21no—
729D212—21no—
730D212—21no—
731D212—21no—
732D212—42no—
733D212—81no—
734D212—81no—
735C4×D53—21no—
736C4×D53—21no—
737C4×D53—41no—
738C4×D53—41no—
739C4×D53—42no—
740C4×D53—42no—
741C4×D53—81no—
742C4×D53—81no—
743C4×D53—81no—
744C4×D53—81no—
745Dic106—21no—
746Dic106—21no—
747Dic106—21no—
748Dic106—21no—
749Dic106—21no—
750Dic106—21no—
751Dic106—21no—
752Dic106—21no—
753Dic106—41no—
754Dic106—41no—
755Dic106—41no—
756Dic106—42no—
757Dic106—42no—
758C8×C53—21no—
759C8×C53—21no—
760C8×C53—21no—
761C8×C53—21no—
762#88322—21no—
763#88322—21no—
764#88322—21no—
765#88322—21no—
766#61943—531nomaximal, Sylow
767C22×C53—41no—
768C22×C53—41no—
769C22×C53—41no—
770C22×C53C23×D411yescharacteristic
771C2×D53—21no—
772C2×D53—21no—
773C2×D53—21no—
774C2×D53—41no—
775C2×D53—41no—
776C2×D53—41no—
777C2×D53—41no—
778C2×D53—41no—
779C2×D53—41no—
780C2×D53—162no—
781C4×C53—21no—
782C4×C53—21no—
783C4×C53—21no—
784C4×C53—21no—
785C4×C53—21no—
786C4×C53—21no—
787C4×C53—41no—
788C4×C53—41no—
789C4×C53—41no—
790C4×C53—41no—
791C4×C53—41no—
792C4×C53—41no—
793C4×C53—41no—
794C4×C53#58511yescharacteristic
795C4×C53#58511yescharacteristic
796Dic53—21no—
797Dic53—21no—
798Dic53—21no—
799Dic53—21no—
800Dic53—21no—
801Dic53—21no—
802Dic53—21no—
803Dic53—41no—
804Dic53—41no—
805Dic53—41no—
806Dic53—41no—
807Dic53—41no—
808Dic53—41no—
809#3556—531no—
810#3510—531no—
811#3400—531no—
812#3400—531no—
813#3400—531no—
814#3400—531no—
815#3398—531no—
816#3398—531no—
817#3398—531no—
818#3398—531no—
819#3377—531no—
820#3377—531no—
821#3377—531no—
822#3377D5311yescharacteristic, complemented
823#3371—531no—
824#3371—531no—
825#3371—531no—
826#3371—531no—
827#3223—531no—
828#3223—531no—
829#3222—531no—
830#3222—531no—
831#3215—531no—
832#3215—531no—
833#3127—531no—
834#3127—531no—
835#3123—531no—
836#3123—531no—
837#3116—531no—
838#3116—531no—
839#2987—531no—
840C2×C53—81no—
841C2×C53#348711yescharacteristic
842C2×C53#358611yescharacteristic
843C2×C53#358611yescharacteristic
844D53—41no—
845D53—81no—
846D53—81no—
847#564—1061no—
848#564—1061no—
849#559—531no—
850#559—531no—
851#559—531no—
852#559—531no—
853#557—531no—
854#557—531no—
855#557—531no—
856#557—531no—
857#557—531no—
858#557—531no—
859#557—531no—
860#557—1061no—
861#557—1061no—
862#557C2×D5311yescharacteristic, complemented
863#556—531no—
864#556—531no—
865#556—531no—
866#556C2×D5311yescharacteristic
867#551—1061no—
868#551—1061no—
869#551—1061no—
870#551—1061no—
871#542—1061no—
872#542—1061no—
873#541—531no—
874#541—531no—
875#541—531no—
876#541—531no—
877#541—1061no—
878#541—1061no—
879#541—1061no—
880#541—1061no—
881#536—531no—
882#535—531no—
883#533—531no—
884#533—531no—
885#533—531no—
886#529—1061no—
887#529—1061no—
888C2×#124—531no—
889#519—531no—
890#518—531no—
891C4×#41—531no—
892#497—531no—
893#497—531no—
894#497—531no—
895#497—531no—
896#497—531no—
897#497—531no—
898#497—531no—
899#497—531no—
900#494—531no—
901#494—531no—
902#492—531no—
903#492—531no—
904#491—531no—
905#491C2×D5311yescharacteristic, complemented
906#490—531no—
907#490—531no—
908#489—531no—
909#489—531no—
910#489—531no—
911#489C2×D5311yescharacteristic
912#488—531no—
913#488—531no—
914#488—531no—
915#488C2×D5311yescharacteristic
916#485—531no—
917#485—531no—
918#485—531no—
919#485—531no—
920#479—531no—
921#479—531no—
922#479—531no—
923#479C2×D5311yescharacteristic, complemented
924#478—531no—
925#478—531no—
926#478—531no—
927#478C2×D5311yescharacteristic
928#477—531no—
929#477C2×D5311yescharacteristic, complemented
930#476—531no—
931#476—531no—
932#464—531no—
933#464—531no—
934#464—531no—
935#464—531no—
936#464—531no—
937#464—531no—
938#464—531no—
939#464—531no—
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464C2×D5311yescharacteristic
947#464C2×D5311yescharacteristic
948#462—531no—
949#462—531no—
950#462—531no—
951#462—531no—
952#462—531no—
953#462—531no—
954#462—531no—
955#462—531no—
956#462—531no—
957#462C2×D5311yescharacteristic, complemented
958#461—531no—
959#461—531no—
960#461—531no—
961#461—531no—
962#461—531no—
963#461—531no—
964#460—531no—
965#460—531no—
966#460—531no—
967#460—531no—
968#452—531no—
969#452—531no—
970#452—531no—
971#452—531no—
972#451—531no—
973#451—531no—
974#451—531no—
975#451—531no—
976#450—531no—
977#450—531no—
978#450—531no—
979#450—531no—
980#446—531no—
981#446—531no—
982#446—531no—
983#446—531no—
984#446—531no—
985#446—531no—
986#446—531no—
987#446C2×D5311yescharacteristic, complemented
988#441—531no—
989#441—531no—
990#441—531no—
991#441—531no—
992#441—531no—
993#441—531no—
994#441—531no—
995#441C2×D5311yescharacteristic, complemented
996#440—531no—
997#440—531no—
998#440—531no—
999#440—531no—
1000#440—531no—
1001#440—531no—
1002#440—531no—
1003#440C2×D5311yescharacteristic
1004C4×Q16—531no—
1005C4×Q16—531no—
1006C4×Q16—531no—
1007C4×Q16C2×D5311yescharacteristic, complemented
1008C4×SD16—531no—
1009C4×SD16—531no—
1010C4×SD16—531no—
1011C4×SD16—531no—
1012#433—531no—
1013#433—531no—
1014#433—531no—
1015#433—531no—
1016#432—531no—
1017#432—531no—
1018C53#6194311yescharacteristic, complemented, Sylow
1019C2×#41—531no—
1020C22×Q8—531no—
1021C22×D4—531no—
1022C2×Q16—531no—
1023C2×Q16—531no—
1024C2×Q16—531no—
1025C2×Q16—531no—
1026C2×Q16—531no—
1027C2×Q16—531no—
1028C2×Q16—531no—
1029C2×Q16—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16C22×D5311yescharacteristic
1033C2×Q16C22×D5311yescharacteristic
1034C2×SD16—531no—
1035C2×SD16—531no—
1036C2×SD16—531no—
1037C2×SD16—531no—
1038C2×SD16—531no—
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16C22×D5311yescharacteristic
1046C4⋊Q8—21no—
1047C4⋊Q8—531no—
1048C4⋊Q8—531no—
1049C4⋊Q8—531no—
1050C4⋊Q8—531no—
1051C4⋊Q8—531no—
1052C4⋊Q8—531no—
1053C4⋊Q8—531no—
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—1061no—
1058C4⋊Q8—1061no—
1059C4⋊Q8—1061no—
1060C4⋊Q8C22×D5311yescharacteristic
1061C4⋊Q8C22×D5311yescharacteristic
1062#127—531no—
1063#127—531no—
1064#126—21no—
1065#126—21no—
1066#126—1061no—
1067#126—1061no—
1068#126—1061no—
1069#126—1061no—
1070#126—1061no—
1071#126—1061no—
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#125—21no—
1081#125—21no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—1061no—
1087#125—1061no—
1088#125—1061no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125—1061no—
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#125—1061no—
1109#125—1061no—
1110#125—1061no—
1111#125—1061no—
1112#125—1061no—
1113#125—1061no—
1114#125C22×D5311yescharacteristic
1115#125C22×D5311yescharacteristic
1116#124—531no—
1117#124—531no—
1118#124—531no—
1119#124—531no—
1120#124—531no—
1121#124—531no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#124C22×D5311yescharacteristic
1129#124C22×D5311yescharacteristic
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—
1140C22⋊Q8—21no—
1141C22⋊Q8—531no—
1142C22⋊Q8—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156#121—1061no—
1157#121—1061no—
1158#120—1061no—
1159#120—1061no—
1160C4×Q8—21no—
1161C4×Q8—531no—
1162C4×Q8—531no—
1163C4×Q8—531no—
1164C4×Q8—531no—
1165C4×Q8—531no—
1166C4×Q8—531no—
1167C4×Q8—531no—
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—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8—1061no—
1181C4×Q8—1061no—
1182C4×Q8—1061no—
1183C4×Q8—1061no—
1184C4×Q8—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8C22×D5311yescharacteristic
1189C4×Q8C22×D5311yescharacteristic
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—531no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4C22×D5311yescharacteristic
1208#117—21no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
1212#117—1061no—
1213#117—1061no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220C2×C22⋊C4—1061no—
1221C2×C22⋊C4—1061no—
1222C2×C22⋊C4—1061no—
1223C2×C22⋊C4—1061no—
1224C2×C42—531no—
1225C2×C42—1061no—
1226#107—531no—
1227#107—531no—
1228#107C22×D5311yescharacteristic
1229#107C22×D5311yescharacteristic
1230#106—531no—
1231#106—531no—
1232#106—531no—
1233#106C22×D5311yescharacteristic
1234C4⋊C8—531no—
1235C4⋊C8—531no—
1236C4⋊C8—531no—
1237C4⋊C8—531no—
1238C4⋊C8—531no—
1239C4⋊C8—531no—
1240C4⋊C8—531no—
1241C4⋊C8—531no—
1242C4⋊C8—531no—
1243C4⋊C8C22×D5311yescharacteristic
1244C4⋊C8C22×D5311yescharacteristic
1245C4⋊C8C22×D5311yescharacteristic
1246#103—531no—
1247#103—531no—
1248#103—531no—
1249#103—531no—
1250#103—531no—
1251#103—531no—
1252#103—531no—
1253#103—531no—
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103C22×D5311yescharacteristic
1260#103C22×D5311yescharacteristic
1261#103C22×D5311yescharacteristic
1262#103C22×D5311yescharacteristic
1263#103C22×D5311yescharacteristic
1264#103C22×D5311yescharacteristic
1265#103C22×D5311yescharacteristic
1266#102—531no—
1267#102—531no—
1268#102—531no—
1269#102—531no—
1270#102—531no—
1271#102—531no—
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102C22×D5311yescharacteristic
1276#102C22×D5311yescharacteristic
1277#102C22×D5311yescharacteristic
1278C22⋊C8—531no—
1279C22⋊C8—531no—
1280C22⋊C8—531no—
1281C22⋊C8—531no—
1282#97—531no—
1283#97—531no—
1284#97—531no—
1285#97—531no—
1286#97—531no—
1287#97—531no—
1288#97C22×D5311yescharacteristic
1289#97C22×D5311yescharacteristic
1290C4×C8—531no—
1291C4×C8—531no—
1292C4×C8—531no—
1293C4×C8C22×D5311yescharacteristic
1294C24—1061no—
1295#41—2121no—
1296#41—2121no—
1297C2×Q8—21no—
1298C2×Q8—531no—
1299C2×Q8—531no—
1300C2×Q8—531no—
1301C2×Q8—531no—
1302C2×Q8—531no—
1303C2×Q8—531no—
1304C2×Q8—531no—
1305C2×Q8—1061no—
1306C2×Q8—1061no—
1307C2×Q8—2121no—
1308C2×Q8—2121no—
1309C2×Q8D4×D5311yescharacteristic
1310C2×Q8C23×D5311yescharacteristic
1311C2×Q8C23×D5311yescharacteristic
1312C2×Q8C23×D5311yescharacteristic
1313C2×D4—531no—
1314C2×D4—531no—
1315C2×D4—1061no—
1316C2×D4—1061no—
1317C2×D4—1061no—
1318C2×D4—1061no—
1319C2×D4—1061no—
1320C2×D4—1061no—
1321C2×D4—2121no—
1322C2×D4—2121no—
1323C2×D4C23×D5311yescharacteristic
1324C22×C4—21no—
1325C22×C4—531no—
1326C22×C4—531no—
1327C22×C4—531no—
1328C22×C4—1061no—
1329C22×C4—1061no—
1330C22×C4—1061no—
1331C22×C4—1061no—
1332C22×C4—1061no—
1333C22×C4—1061no—
1334C22×C4—1061no—
1335Q16—41no—
1336Q16—41no—
1337Q16—2121no—
1338Q16—2121no—
1339Q16—2121no—
1340Q16—2121no—
1341Q16—2121no—
1342Q16—2121no—
1343Q16—2121no—
1344Q16—2121no—
1345Q16—2121no—
1346Q16—2121no—
1347SD16—41no—
1348SD16—2121no—
1349SD16—2121no—
1350SD16—2121no—
1351SD16—2121no—
1352SD16—2121no—
1353SD16—2121no—
1354SD16—2121no—
1355SD16—2121no—
1356SD16—2121no—
1357SD16—2121no—
1358SD16—2121no—
1359C2×C8—531no—
1360C2×C8—531no—
1361C2×C8—531no—
1362C2×C8—531no—
1363C2×C8C23×D5311yescharacteristic
1364C2×C8C23×D5311yescharacteristic
1365C2×C8C23×D5311yescharacteristic
1366C2×C8C23×D5311yescharacteristic
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—531no—
1380C4⋊C4—531no—
1381C4⋊C4—531no—
1382C4⋊C4—531no—
1383C4⋊C4—531no—
1384C4⋊C4—531no—
1385C4⋊C4—531no—
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—1061no—
1395C4⋊C4—1061no—
1396C4⋊C4—1061no—
1397C4⋊C4—1061no—
1398C4⋊C4—1061no—
1399C4⋊C4—1061no—
1400C4⋊C4—1061no—
1401C4⋊C4—1061no—
1402C4⋊C4—1061no—
1403C4⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1431C4⋊C4D4×D5311yescharacteristic
1432C4⋊C4D4×D5311yescharacteristic
1433C4⋊C4C23×D5311yescharacteristic
1434C4⋊C4C23×D5311yescharacteristic
1435C4⋊C4C23×D5311yescharacteristic
1436C4⋊C4C23×D5311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—531no—
1443C22⋊C4—531no—
1444C22⋊C4—531no—
1445C22⋊C4—531no—
1446C22⋊C4—1061no—
1447C22⋊C4—1061no—
1448C22⋊C4—1061no—
1449C22⋊C4—1061no—
1450C22⋊C4—1061no—
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—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—531no—
1474C42—531no—
1475C42—531no—
1476C42—531no—
1477C42—531no—
1478C42—1061no—
1479C42—1061no—
1480C42—1061no—
1481C42—1061no—
1482C42—1061no—
1483C42—1061no—
1484C42—1061no—
1485C42—1061no—
1486C42—1061no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42C23×D5311yescharacteristic
1493C42C23×D5311yescharacteristic
1494C42C23×D5311yescharacteristic
1495C23—21no—
1496C23—531no—
1497C23—1061no—
1498C23—1061no—
1499C23—4241no—
1500C23—4241no—
1501C23—2122no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—41no—
1509Q8—42no—
1510Q8—1061no—
1511Q8—1061no—
1512Q8—1061no—
1513Q8—1061no—
1514Q8—1061no—
1515Q8—1061no—
1516Q8—1061no—
1517Q8—1061no—
1518Q8—2121no—
1519Q8—2121no—
1520Q8—2121no—
1521Q8—2122no—
1522Q8—2122no—
1523D4—21no—
1524D4—21no—
1525D4—1061no—
1526D4—1061no—
1527D4—1061no—
1528D4—1061no—
1529D4—4241no—
1530D4—4241no—
1531D4—4241no—
1532D4—4241no—
1533D4—2122no—
1534D4—2122no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—81no—
1543C2×C4—531no—
1544C2×C4—531no—
1545C2×C4—531no—
1546C2×C4—531no—
1547C2×C4—531no—
1548C2×C4—531no—
1549C2×C4—531no—
1550C2×C4—1061no—
1551C2×C4—1061no—
1552C2×C4—1061no—
1553C2×C4—1061no—
1554C2×C4—1061no—
1555C2×C4—1061no—
1556C2×C4—1061no—
1557C2×C4—1061no—
1558C2×C4—4241no—
1559C2×C4—4241no—
1560C2×C4—4241no—
1561C2×C4—4241no—
1562C2×C4—4241no—
1563C2×C4—2121no—
1564C2×C4—2121no—
1565C2×C4—2122no—
1566C2×C4—2122no—
1567C2×C4C2×D4×D5311yescharacteristic
1568C2×C4C2×D4×D5311yescharacteristic
1569C2×C4C2×D4×D5311yescharacteristic
1570C2×C4C2×D4×D5311yescharacteristic
1571C2×C4C2×D4×D5311yescharacteristic
1572C2×C4C2×D4×D5311yescharacteristic
1573C2×C4C24×D5311yescharacteristic
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—1061no—
1579C8—1061no—
1580C8—1061no—
1581C8—1061no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—8482no—
1586C22—1061no—
1587C22—1061no—
1588C22—1061no—
1589C22—2121no—
1590C22—2121no—
1591C22—2121no—
1592C22—2121no—
1593C22—2121no—
1594C22—2121no—
1595C22C22×D4×D5311yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—1061no—
1610C4—1061no—
1611C4—1061no—
1612C4—1061no—
1613C4—1061no—
1614C4—1061no—
1615C4—1061no—
1616C4—2121no—
1617C4—2121no—
1618C4—2121no—
1619C4—2121no—
1620C4—2121no—
1621C4—2121no—
1622C4#1681145911yescharacteristic
1623C4#1681146011yescharacteristic
1624C2—81no—
1625C2—4241no—
1626C2—4241no—
1627C2—2121no—
1628C2#2028837211yescharacteristic
1629C2#2028949911yescharacteristic
1630C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3377C2
socleC22×C53C23×D4
prime radical#16811191C22
hypercenter#3377D53
hypocenterC53#61943
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #20289207C2semidirect
3. #20287771C2semidirect
4. #20287770C2semidirect
5. #20287769C2semidirect
6. #20287766C2semidirect
7. #20287749C2semidirect
8. #20287747C2semidirect
9. #20287746C2semidirect
10. #20287745C2semidirect
11. #20287564C2semidirect
12. #20287563C2semidirect
13. #20287552C2semidirect
14. #20287486C2semidirect
15. #20287483C2semidirect
16. #20287482C2semidirect
17. #20287481C2semidirect
18. #20285799C2semidirect
19. #20285797C2semidirect
22. #20285719C2semidirect
23. #20285716C2semidirect
24. #20285017C2semidirect
25. #20285012C2semidirect
26. #20284969C2semidirect
27. #20284966C2semidirect
28. #20284880C2semidirect
29. #20284875C2semidirect
30. #20283818C2semidirect
31. C53×#3377C2semidirect
38. #16811352C22semidirect
39. #16811351C22semidirect
40. #16811351C22semidirect
41. #16811351C22semidirect
42. #16811350C22semidirect
43. #16811350C22semidirect
46. #16811348C22semidirect
78. #16811017C22semidirect
81. #16811016C22semidirect
83. #16811002C22semidirect
84. #16811001C22semidirect
87. #16810990C22semidirect
93. #16810980C22semidirect
95. #16810979C22semidirect
100. #16810932C22semidirect
101. #16810929C22semidirect
102. #16810927C22semidirect
106. #16810916C22semidirect
107. #16810912C22semidirect
108. #16810910C22semidirect
113. #16810848C22semidirect
114. #16810848C22semidirect
116. #16810846C22semidirect
118. #16810845C22semidirect
123. #16810834C22semidirect
124. #16810833C22semidirect
125. #16810833C22semidirect
126. #16810832C22semidirect
127. #16810832C22semidirect
128. #16810832C22semidirect
129. #16810831C22semidirect
130. #16810831C22semidirect
131. #16810830C22semidirect
133. #16810829C22semidirect
136. #16810827C22semidirect
154. #16810754C22semidirect
155. #16810753C22semidirect
156. #16810752C22semidirect
157. #16810752C22semidirect
158. #16810751C22semidirect
159. #16810751C22semidirect
160. #16810750C22semidirect
161. #16810729C22semidirect
162. #16810728C22semidirect
163. #16810728C22semidirect
164. #16810728C22semidirect
165. #16810727C22semidirect
166. #16810727C22semidirect
167. #16810727C22semidirect
169. #16810725C22semidirect
171. #16810722C22semidirect
172. #16810722C22semidirect
173. #16810721C22semidirect
175. C4×Dic212C22semidirect
176. #16810717C22semidirect
177. #16810715C22semidirect
188. C53×#557C22semidirect
190. C53×#491C22semidirect
193. C53×#479C22semidirect
195. C53×#477C22semidirect
198. C53×#462C22semidirect
199. C53×#446C22semidirect
200. C53×#441C22semidirect
202. C4×Q16×C53C22semidirect
822. #3377D53semidirect
862. #557C2×D53semidirect
905. #491C2×D53semidirect
923. #479C2×D53semidirect
929. #477C2×D53semidirect
957. #462C2×D53semidirect
987. #446C2×D53semidirect
995. #441C2×D53semidirect
1007. C4×Q16C2×D53semidirect
1018. C53#61943semidirect

Maximal subgroups

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

subgroupindex
#202892072
#202886052
#202877712
#202877702
#202877692
#202877662
#202877492
#202877472
#202877462
#202877452
#202875642
#202875632
#202875522
#202874862
#202874832
#202874822
#202874812
#202857992
#202857972
#202857902
#202857842
#202857192
#202857162
#202850172
#202850122
#202849692
#202849662
#202848802
#202848752
#202838182
C53×#33772
#6194353