Finite Group Databasebeta

← #28281301

Subgroups — #28281301

Order 13568.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289356C211yesmaximal, characteristic, complemented
2#20288657C211yesmaximal, characteristic, complemented
3#20287668C211yesmaximal, characteristic, complemented
4#20287585C211yesmaximal, characteristic, complemented
5#20287486C211yesmaximal, characteristic, complemented
6#20287374C211yesmaximal, characteristic, complemented
7#20287306C211yesmaximal, characteristic, complemented
8#20287276C211yesmaximal, characteristic, complemented
9#20287272C211yesmaximal, characteristic, complemented
10#20287242C211yesmaximal, characteristic, complemented
11#20287151C211yesmaximal, characteristic, complemented
12#20287113C211yesmaximal, characteristic, complemented
13#20286943C211yesmaximal, characteristic, complemented
14#20286932C211yesmaximal, characteristic, complemented
15#20286917C211yesmaximal, characteristic, complemented
16#20286867C211yesmaximal, characteristic, complemented
17#20286853C211yesmaximal, characteristic, complemented
18#20286551C211yesmaximal, characteristic, complemented
19#20286178C211yesmaximal, characteristic, complemented
20#20286128C211yesmaximal, characteristic, complemented
21#20286118C211yesmaximal, characteristic, complemented
22#20286020C211yesmaximal, characteristic, complemented
23#20285968C211yesmaximal, characteristic, complemented
24#20285899C211yesmaximal, characteristic, complemented
25#20284992C211yesmaximal, characteristic, complemented
26#20284906C211yesmaximal, characteristic, complemented
27#20284767C211yesmaximal, characteristic, complemented
28#20284543C211yesmaximal, characteristic, complemented
29#20284507C211yesmaximal, characteristic, complemented
30#20283862C211yesmaximal, characteristic, complemented
31C53×#3083C211yesmaximal, characteristic, complemented
32#16811377—21no—
33#16811369—21no—
34#16811358C2211yescharacteristic
35#16811350C2211yescharacteristic, complemented
36#16811347C2211yescharacteristic
37#16811344—21no—
38#16811336C2211yescharacteristic, complemented
39#16811334C2211yescharacteristic, complemented
40#16811332C2211yescharacteristic
41#16811326C2211yescharacteristic
42#16811322—21no—
43#16811321C2211yescharacteristic
44#16811321C2211yescharacteristic, complemented
45#16811314C2211yescharacteristic
46#16811312C2211yescharacteristic, complemented
47#16811308C2211yescharacteristic, complemented
48#16811305—21no—
49#16811297—21no—
50#16811297—21no—
51#16811274C2211yescharacteristic
52#16811269—21no—
53#16811261C2211yescharacteristic
54#16811261C2211yescharacteristic
55D4×D212C2211yescharacteristic
56#16811253C2211yescharacteristic, complemented
57#16811247—21no—
58#16811247C2211yescharacteristic, complemented
59#16811246—21no—
60#16811245C2211yescharacteristic
61#16811244C2211yescharacteristic, complemented
62#16811234—21no—
63#16811228C2211yescharacteristic
64#16811220—21no—
65#16811219—21no—
66#16811206—21no—
67#16811178C2211yescharacteristic, complemented
68#16811160C2211yescharacteristic
69#16811158C2211yescharacteristic, complemented
70#16811151C2211yescharacteristic
71#16811132—21no—
72C2×#13133202—21no—
73#16811095C2211yescharacteristic
74C4×D4×D53C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811029C2211yescharacteristic, complemented
77#16811024C2211yescharacteristic, complemented
78#16811024C2211yescharacteristic, complemented
79#16811022C2211yescharacteristic, complemented
80#16811020C2211yescharacteristic, complemented
81#16810989C2211yescharacteristic
82#16810984C2211yescharacteristic, complemented
83#16810979C2211yescharacteristic, complemented
84#16810979C2211yescharacteristic, complemented
85#16810979C2211yescharacteristic, complemented
86#16810971C2211yescharacteristic
87#16810966C2211yescharacteristic, complemented
88#16810963C2211yescharacteristic, complemented
89#16810963C2211yescharacteristic, complemented
90#16810962C2211yescharacteristic, complemented
91#16810960C2211yescharacteristic, complemented
92#16810953C2211yescharacteristic, complemented
93#16810952C2211yescharacteristic, complemented
94#16810950C2211yescharacteristic
95#16810950C2211yescharacteristic
96#16810950C2211yescharacteristic
97#16810950C2211yescharacteristic, complemented
98#16810947C2211yescharacteristic, complemented
99#16810947C2211yescharacteristic, complemented
100#16810943C2211yescharacteristic
101#16810943C2211yescharacteristic, complemented
102#16810941C2211yescharacteristic, complemented
103#16810941C2211yescharacteristic, complemented
104#16810936C2211yescharacteristic, complemented
105#16810933C2211yescharacteristic, complemented
106#16810931C2211yescharacteristic, complemented
107#16810926C2211yescharacteristic, complemented
108#16810926C2211yescharacteristic, complemented
109#16810926C2211yescharacteristic, complemented
110#16810926C2211yescharacteristic, complemented
111#16810925C2211yescharacteristic
112#16810925C2211yescharacteristic
113#16810924C2211yescharacteristic, complemented
114#16810921C2211yescharacteristic
115#16810920C2211yescharacteristic, complemented
116#16810920C2211yescharacteristic, complemented
117#16810917C2211yescharacteristic, complemented
118#16810914C2211yescharacteristic, complemented
119#16810913C2211yescharacteristic
120#16810912C2211yescharacteristic, complemented
121#16810910C2211yescharacteristic, complemented
122#16810908C2211yescharacteristic, complemented
123#16810904C2211yescharacteristic, complemented
124#16810902C2211yescharacteristic, complemented
125#16810901C2211yescharacteristic
126#16810900C2211yescharacteristic, complemented
127#16810880C2211yescharacteristic, complemented
128#16810877C2211yescharacteristic
129#16810876C2211yescharacteristic, complemented
130#16810872C2211yescharacteristic, complemented
131#16810872C2211yescharacteristic, complemented
132#16810870C2211yescharacteristic
133#16810870C2211yescharacteristic
134#16810869C2211yescharacteristic, complemented
135#16810863C2211yescharacteristic, complemented
136#16810860C2211yescharacteristic
137#16810859C2211yescharacteristic, complemented
138#16810852C2211yescharacteristic, complemented
139#16810848C2211yescharacteristic, complemented
140#16810848C2211yescharacteristic, complemented
141#16810845C2211yescharacteristic, complemented
142#16810841C2211yescharacteristic, complemented
143#16810841C2211yescharacteristic, complemented
144#16810839C2211yescharacteristic, complemented
145#16810839C2211yescharacteristic, complemented
146#16810838C2211yescharacteristic
147#16810824C2211yescharacteristic
148#16810819C2211yescharacteristic
149#16810785C2211yescharacteristic
150#16810775C2211yescharacteristic
151#16810775C2211yescharacteristic
152#16810768C2211yescharacteristic
153#16810758C2211yescharacteristic
154#16810758C2211yescharacteristic
155#16810752C2211yescharacteristic, complemented
156#16810747C2211yescharacteristic, complemented
157#16810733C2211yescharacteristic
158#16810732C2211yescharacteristic
159#16810728C2211yescharacteristic, complemented
160#16810722C2211yescharacteristic, complemented
161#16810714C2211yescharacteristic
162#16810714C2211yescharacteristic
163C4×#11719924C2211yescharacteristic, complemented
164#16810710C2211yescharacteristic, complemented
165C4×#11719923C2211yescharacteristic
166#16810705C2211yescharacteristic, complemented
167#16810705C2211yescharacteristic, complemented
168#16810703C2211yescharacteristic
169#16810700C2211yescharacteristic
170#16810699C2211yescharacteristic, complemented
171#16810699C2211yescharacteristic, complemented
172#16810694C2211yescharacteristic, complemented
173#16810693C2211yescharacteristic
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810684C2211yescharacteristic, complemented
176#16810683C2211yescharacteristic, complemented
177#16810675C2211yescharacteristic, complemented
178#16810664C2211yescharacteristic, complemented
179#16810664C2211yescharacteristic, complemented
180#16810662C2211yescharacteristic, complemented
181#16810660C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183#16810645C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic
185#16810626C2211yescharacteristic
186#16810626C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#544C2211yescharacteristic, complemented
189C53×#520C2211yescharacteristic
190C53×#479C2211yescharacteristic, complemented
191C53×#479C2211yescharacteristic, complemented
192C53×#478C2211yescharacteristic
193C53×#478C2211yescharacteristic
194C53×#477C2211yescharacteristic, complemented
195C53×#477C2211yescharacteristic, complemented
196C53×#474C2211yescharacteristic
197C53×#474C2211yescharacteristic
198C53×#428C2211yescharacteristic, complemented
199C2×#107×C53C2211yescharacteristic, complemented
200C53×#424C2211yescharacteristic, complemented
201C53×#417C2211yescharacteristic
202C53×#416C2211yescharacteristic
203C2×#11719945—21no—
204C22×D212—21no—
205C2×D4×D53C2311yescharacteristic
206C2×D4×D53C2311yescharacteristic
207C22×C4×D53—21no—
208C2×#11719925C2311yescharacteristic
209C2×#11719913C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719923C2311yescharacteristic
212C2×#11719924C2311yescharacteristic
213C2×D424C2311yescharacteristic
214C2×D424C2311yescharacteristic
215C2×#11719922C2311yescharacteristic
216C2×#11719912C2311yescharacteristic
217C2×#11719912C2311yescharacteristic
218C2×#11719912C2311yescharacteristic
219C2×C8×D53C2311yescharacteristic
220#13133217C2311yescharacteristic
221#13133216—21no—
222#13133216—21no—
223#13133216C2311yescharacteristic
224#13133216C2311yescharacteristic
225#13133214C2311yescharacteristic
226#13133212—21no—
227#13133212—21no—
228#13133212—21no—
229#13133212—21no—
230#13133212—21no—
231#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133212—21no—
235#13133212—21no—
236#13133212D411yescharacteristic
237#13133211—21no—
238#13133211—21no—
239#13133210—21no—
240#13133210D411yescharacteristic
241#13133209—21no—
242#13133209C2311yescharacteristic
243#13133208C2311yescharacteristic
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133207—21no—
248#13133207—21no—
249#13133207—21no—
250#13133207—21no—
251#13133207—21no—
252#13133207D411yescharacteristic
253#13133206—21no—
254#13133206—21no—
255#13133206C2311yescharacteristic
256#13133206C2311yescharacteristic
257#13133205—21no—
258#13133205—21no—
259#13133205—21no—
260#13133205C2311yescharacteristic
261#13133203—21no—
262#13133203—21no—
263#13133203D411yescharacteristic
264#13133202—21no—
265#13133202—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133202—21no—
270#13133202—21no—
271#13133202—21no—
272#13133202—21no—
273#13133202—21no—
274#13133202—21no—
275#13133202—21no—
276#13133202—21no—
277#13133202D411yescharacteristic
278#13133200—21no—
279#13133200—21no—
280#13133200—21no—
281#13133200—21no—
282#13133199—21no—
283#13133199—21no—
284#13133199D411yescharacteristic
285#13133197—21no—
286#13133197—21no—
287#13133197—21no—
288#13133197C2311yescharacteristic
289#13133197C2311yescharacteristic
290#13133196—21no—
291#13133196C2311yescharacteristic
292#13133195—21no—
293#13133195—21no—
294#13133195—21no—
295#13133195—21no—
296#13133195D411yescharacteristic
297#13133194—21no—
298#13133194—21no—
299#13133193—21no—
300#13133193—21no—
301#13133193—21no—
302#13133193—21no—
303#13133193C2311yescharacteristic
304#13133193C2311yescharacteristic
305#13133192—21no—
306#13133192C2311yescharacteristic
307#13133192C2311yescharacteristic
308#13133192C2311yescharacteristic
309#13133192C2311yescharacteristic
310#13133191—21no—
311#13133191—21no—
312#13133191—21no—
313#13133191C2311yescharacteristic
314#13133191C2311yescharacteristic
315#13133191C2311yescharacteristic
316#13133190—21no—
317#13133190—21no—
318#13133190—21no—
319#13133190D411yescharacteristic
320#13133189—21no—
321#13133189—21no—
322#13133187—21no—
323#13133187—21no—
324#13133185—21no—
325#13133185—21no—
326Q8×Dic53—21no—
327Q8×Dic53—21no—
328C4×Dic106C2311yescharacteristic
329C4×Dic106C2311yescharacteristic
330#13133182—21no—
331#13133182—21no—
332#13133182C2311yescharacteristic
333#13133182C2311yescharacteristic
334C4×D212—21no—
335C4×D212—21no—
336C4×D212C2311yescharacteristic
337C4×D212C2311yescharacteristic
338C4×D212C2311yescharacteristic
339C4×D212C2311yescharacteristic
340D4×Dic53C2311yescharacteristic
341D4×Dic53C2311yescharacteristic
342#13133179—21no—
343#13133179—21no—
344#13133179C2311yescharacteristic
345#13133179C2311yescharacteristic
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53C2311yescharacteristic
353C4×C22⋊D53C2311yescharacteristic
354#13133177—21no—
355#13133177—21no—
356#13133176—21no—
357#13133175—21no—
358#13133175C2311yescharacteristic
359#13133175C2311yescharacteristic
360#13133175C2311yescharacteristic
361#13133175C2311yescharacteristic
362#13133174—21no—
363#13133174—21no—
364#13133174—21no—
365#13133174—21no—
366#13133174C2311yescharacteristic
367C2×#11719919—21no—
368C4⋊C4×D53—21no—
369C4⋊C4×D53C2311yescharacteristic
370C4⋊C4×D53C2311yescharacteristic
371C2×#11719921—21no—
372C2×#11719921—21no—
373C2×#11719921—21no—
374C22⋊C4×D53—21no—
375C22⋊C4×D53—21no—
376C42×D53C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133151C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133149C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393C4⋊#88322C2311yescharacteristic
394C4⋊#88322C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133141C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133140C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133139C2311yescharacteristic
406#13133139C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133138C2311yescharacteristic
412#13133138C2311yescharacteristic
413#13133137C2311yescharacteristic
414#13133137C2311yescharacteristic
415#13133137C2311yescharacteristic
416#13133137C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133128C2311yescharacteristic
430#13133127C2311yescharacteristic
431C4×#88322C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C2×M16×C53C2311yescharacteristic
437C22×C8×C53C2311yescharacteristic
438C4⋊Q8×C53—21no—
439C4⋊Q8×C53C2311yescharacteristic
440C4⋊Q8×C53C2311yescharacteristic
441#125×C53—21no—
442#125×C53C2311yescharacteristic
443#125×C53C2311yescharacteristic
444C22⋊Q8×C53—21no—
445C22⋊Q8×C53—21no—
446C4×Q8×C53C2311yescharacteristic
447C4×Q8×C53C2311yescharacteristic
448C4×D4×C53—21no—
449C4×D4×C53—21no—
450C4×D4×C53C2311yescharacteristic
451C4×D4×C53C2311yescharacteristic
452#117×C53—21no—
453#117×C53C2311yescharacteristic
454#117×C53C2311yescharacteristic
455C2×C4⋊C4×C53—21no—
456C2×C4⋊C4×C53C2311yescharacteristic
457C2×C4⋊C4×C53C2311yescharacteristic
458#107×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#106×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466C4⋊C8×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469C4⋊C8×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C23×D53—21no—
479C23×D53—21no—
480#41×C53—22no—
481#41×C53—41no—
482C2×Q8×C53—21no—
483C2×Q8×C53—21no—
484C2×Q8×C53C2411yescharacteristic
485C2×D4×C53—21no—
486C2×D4×C53C2411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53C2411yescharacteristic
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53C2×D411yescharacteristic
499C2×C22⋊D53C2×D411yescharacteristic
500C22×Dic53—21no—
501C22×Dic53—21no—
502D4×D53—22no—
503D4×D53—22no—
504D4×D53—41no—
505D4×D53—41no—
506#11719945—82no—
507C2×D212—21no—
508C2×D212—21no—
509C2×D212—21no—
510C2×D212—21no—
511C2×D212—21no—
512C2×D212—21no—
513C2×D212—82no—
514C2×D212C2×D411yescharacteristic
515C2×D212C2411yescharacteristic
516C2×D212C2411yescharacteristic
517C2×D212C2411yescharacteristic
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—82no—
528C2×C4×D53C2×D411yescharacteristic
529C2×C4×D53C2×D411yescharacteristic
530C2×C4×D53C2411yescharacteristic
531C2×C4×D53C2411yescharacteristic
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106C2×D411yescharacteristic
536C2×Dic106C2411yescharacteristic
537M16×C53—41no—
538C2×C8×C53—41no—
539C2×C8×C53C2411yescharacteristic
540C2×C8×C53C2411yescharacteristic
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C4⋊C4×C53—21no—
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53C2×D411yescharacteristic
554C4⋊C4×C53C2×D411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C4⋊C4×C53C2411yescharacteristic
560C4⋊C4×C53C2411yescharacteristic
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53C2×D411yescharacteristic
565C22⋊C4×C53C2×D411yescharacteristic
566C42×C53—21no—
567C42×C53—21no—
568C42×C53—21no—
569C42×C53C2411yescharacteristic
570C42×C53C2411yescharacteristic
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53C2×D411yescharacteristic
575C22⋊Dic53C2×D411yescharacteristic
576#11719925—41no—
577#11719924—41no—
578#11719923—22no—
579#11719922—22no—
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#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#11719921C2×D411yescharacteristic
609#11719921C2×D411yescharacteristic
610#11719921C2×D411yescharacteristic
611#11719921C2×D411yescharacteristic
612#11719921C2×D411yescharacteristic
613#11719921C2×D411yescharacteristic
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
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
649C4×Dic53—21no—
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53C2×D411yescharacteristic
657C4×Dic53C2×D411yescharacteristic
658C4×Dic53C2411yescharacteristic
659C4×Dic53C2411yescharacteristic
660C2×#88322C2411yescharacteristic
661C2×#88322C2411yescharacteristic
662C2×#88322C2411yescharacteristic
663C2×#88322C2411yescharacteristic
664D424—41no—
665D424—41no—
666#11719913—41no—
667#11719913—41no—
668#11719912—41no—
669#11719912—41no—
670#11719912—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53C22×D411yescharacteristic
674C22×D53—21no—
675C22×D53—21no—
676C22×D53—21no—
677C22×D53—42no—
678C22×D53—42no—
679C22×D53—42no—
680C22×D53—81no—
681C22×D53—81no—
682C22×D53—81no—
683C22×D53C22×D411yescharacteristic
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687Q8×C53—81no—
688Q8×C53—81no—
689D4×C53—21no—
690D4×C53—42no—
691D4×C532−1+412yes—
692C2×C4×C53—21no—
693C2×C4×C53—21no—
694C2×C4×C53—21no—
695C2×C4×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—42no—
702C2×C4×C53—81no—
703C2×C4×C53—81no—
704C2×C4×C53—81no—
705C2×C4×C53—81no—
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C2511yescharacteristic
712C22⋊D53—41no—
713C22⋊D53—41no—
714C22⋊D53—42no—
715C22⋊D53—42no—
716C22⋊D53—81no—
717C22⋊D53—81no—
718C22⋊D53—81no—
719C2×Dic53—21no—
720C2×Dic53—21no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—81no—
725C2×Dic53—81no—
726C2×Dic53C22×D411yescharacteristic
727C2×Dic53C22×D411yescharacteristic
728C2×Dic53C22×D411yescharacteristic
729C2×Dic53C22×D411yescharacteristic
730C2×Dic53C22×D411yescharacteristic
731C2×Dic53C22×D411yescharacteristic
732D212—21no—
733D212—21no—
734D212—21no—
735D212—21no—
736D212—21no—
737D212—21no—
738D212—41no—
739D212—42no—
740D212—81no—
741D212—81no—
742D212—81no—
743D212—81no—
744D212—81no—
745C4×D53—21no—
746C4×D53—21no—
747C4×D53—21no—
748C4×D53—21no—
749C4×D53—41no—
750C4×D53—41no—
751C4×D53—42no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759C4×D53—81no—
760Dic106—21no—
761Dic106—21no—
762Dic106—41no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—22no—
778C22×C53—21no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53C23×D411yescharacteristic
782C2×D53—21no—
783C2×D53—21no—
784C2×D53—21no—
785C2×D53—21no—
786C2×D53—21no—
787C2×D53—21no—
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—41no—
797C2×D53—84no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—21no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53—41no—
811C4×C53C2×2−1+411yescharacteristic
812C4×C53#58511yescharacteristic
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—21no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343—531no—
835#3339—531no—
836#3324—531no—
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083D5311yescharacteristic, complemented
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—42no—
856C2×C53—41no—
857C2×C53#348911yescharacteristic
858C2×C53#358411yescharacteristic
859C2×C53#358511yescharacteristic
860D53—41no—
861D53—41no—
862D53—81no—
863D53—81no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—531no—
870#556—1061no—
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—531no—
881#552—1061no—
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—531no—
887#546—1061no—
888D42—531no—
889#544—531no—
890#544C2×D5311yescharacteristic, complemented
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520C2×D5311yescharacteristic
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#486—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484—531no—
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482—531no—
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
939#480—531no—
940#479—531no—
941#479—531no—
942#479C2×D5311yescharacteristic, complemented
943#479C2×D5311yescharacteristic, complemented
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478C2×D5311yescharacteristic
955#478C2×D5311yescharacteristic
956#477—531no—
957#477C2×D5311yescharacteristic, complemented
958#477C2×D5311yescharacteristic, complemented
959#476—531no—
960#476—531no—
961#476—531no—
962#476—531no—
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474C2×D5311yescharacteristic
969#474C2×D5311yescharacteristic
970#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468—531no—
978#467—531no—
979#466—531no—
980#466—531no—
981#465—531no—
982#464—531no—
983#464—531no—
984#464—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460—531no—
991#459—531no—
992#452—531no—
993#450—531no—
994#450—531no—
995#449—531no—
996#447—531no—
997#447—531no—
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441—531no—
1003#440—531no—
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16—531no—
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428C2×D5311yescharacteristic, complemented
1025#427—531no—
1026C2×#107C2×D5311yescharacteristic, complemented
1027#424—531no—
1028#424C2×D5311yescharacteristic, complemented
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418—531no—
1033#417C2×D5311yescharacteristic
1034#416C2×D5311yescharacteristic
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—1061no—
1038C2×#41C22×D5311yescharacteristic
1039C22×D4—531no—
1040C22×D4—531no—
1041C22×D4—1061no—
1042C23×C4—1061no—
1043C2×Q16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16C22×D5311yescharacteristic
1055C22×C8—531no—
1056C22×C8C22×D5311yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8C22×D5311yescharacteristic
1064C4⋊Q8C22×D5311yescharacteristic
1065#127—531no—
1066#126—531no—
1067#126—531no—
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#126—1061no—
1081#125—21no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—1061no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125C22×D5311yescharacteristic
1095#125C22×D5311yescharacteristic
1096#124—531no—
1097#124—531no—
1098#124—531no—
1099#124—531no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124—1061no—
1107#123—531no—
1108#123—531no—
1109#123—1061no—
1110#123—1061no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—531no—
1134C22⋊Q8—531no—
1135C22⋊Q8—531no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150#121—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—531no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121—1061no—
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—1061no—
1176C4×Q8—1061no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8C22×D5311yescharacteristic
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—531no—
1194C4×D4—531no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—21no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
1212#117—531no—
1213#117—1061no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117C22×D5311yescharacteristic
1220#117C22×D5311yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4C22×D5311yescharacteristic
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107C22×D5311yescharacteristic
1241#107C22×D5311yescharacteristic
1242#107C22×D5311yescharacteristic
1243#107C22×D5311yescharacteristic
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106—531no—
1255#106—531no—
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8C22×D5311yescharacteristic
1265C4⋊C8C22×D5311yescharacteristic
1266C4⋊C8C22×D5311yescharacteristic
1267C4⋊C8C22×D5311yescharacteristic
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#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102—531no—
1295#102—531no—
1296#102C22×D5311yescharacteristic
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8—531no—
1305C22⋊C8—531no—
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8—531no—
1312C24—1061no—
1313C24—1061no—
1314#41—22no—
1315#41—41no—
1316#41—4242no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—531no—
1320C2×Q8—531no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8—1061no—
1324C2×Q8C23×D5311yescharacteristic
1325C2×D4—21no—
1326C2×D4—531no—
1327C2×D4—531no—
1328C2×D4—531no—
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—1062no—
1339C2×D4—1062no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—1061no—
1345C2×D4—4242no—
1346C2×D4—2121no—
1347C2×D4—2121no—
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—531no—
1355C22×C4—531no—
1356C22×C4—531no—
1357C22×C4—531no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—1061no—
1369C22×C4—4242no—
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—1062no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—41no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—41no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—2121no—
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—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
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—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⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4D4×D5311yescharacteristic
1439C4⋊C4D4×D5311yescharacteristic
1440C4⋊C4C23×D5311yescharacteristic
1441C4⋊C4C23×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—531no—
1450C22⋊C4—531no—
1451C22⋊C4—531no—
1452C22⋊C4—531no—
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⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—531no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42C23×D5311yescharacteristic
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—531no—
1508C23—531no—
1509C23—1061no—
1510C23—1061no—
1511C23—1061no—
1512C23—4241no—
1513C23—4241no—
1514C23—4241no—
1515C23—2122no—
1516C23—2122no—
1517C23—2122no—
1518C23C2×D4×D5311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—81no—
1523Q8—1061no—
1524Q8—1061no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—42no—
1531D4—1061no—
1532D4—1061no—
1533D4—1061no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—4241no—
1538D4—4241no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2121no—
1546D4—2122no—
1547D4—2121no—
1548D4—2121no—
1549D4—2122no—
1550D4—2122no—
1551D4#1313326512yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—531no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—2121no—
1592C2×C4—2121no—
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—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—8482no—
1615C22—1061no—
1616C22—1061no—
1617C22—1061no—
1618C22—1061no—
1619C22—1061no—
1620C22—1061no—
1621C22—4244no—
1622C22—2121no—
1623C22—2121no—
1624C22—2121no—
1625C22—2121no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—1061no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C4C2×#1313326511yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—4241no—
1660C2—4241no—
1661C2—4241no—
1662C2—2121no—
1663C2—2121no—
1664C2#2028839111yescharacteristic
1665C2#2028948511yescharacteristic
1666C2#2028949011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3083C2
socleC22×C53C23×D4
hypercenter#3083D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3083

Complements

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

NH ≅ G/Ntype
1. #20289356C2semidirect
2. #20288657C2semidirect
3. #20287668C2semidirect
4. #20287585C2semidirect
5. #20287486C2semidirect
6. #20287374C2semidirect
7. #20287306C2semidirect
8. #20287276C2semidirect
9. #20287272C2semidirect
10. #20287242C2semidirect
11. #20287151C2semidirect
12. #20287113C2semidirect
13. #20286943C2semidirect
14. #20286932C2semidirect
15. #20286917C2semidirect
16. #20286867C2semidirect
17. #20286853C2semidirect
18. #20286551C2semidirect
19. #20286178C2semidirect
20. #20286128C2semidirect
21. #20286118C2semidirect
22. #20286020C2semidirect
23. #20285968C2semidirect
24. #20285899C2semidirect
25. #20284992C2semidirect
26. #20284906C2semidirect
27. #20284767C2semidirect
28. #20284543C2semidirect
29. #20284507C2semidirect
30. #20283862C2semidirect
31. C53×#3083C2semidirect
35. #16811350C22semidirect
38. #16811336C22semidirect
39. #16811334C22semidirect
44. #16811321C22semidirect
46. #16811312C22semidirect
47. #16811308C22semidirect
56. #16811253C22semidirect
58. #16811247C22semidirect
61. #16811244C22semidirect
67. #16811178C22semidirect
69. #16811158C22semidirect
75. #16811031C22semidirect
76. #16811029C22semidirect
77. #16811024C22semidirect
78. #16811024C22semidirect
79. #16811022C22semidirect
80. #16811020C22semidirect
82. #16810984C22semidirect
83. #16810979C22semidirect
84. #16810979C22semidirect
85. #16810979C22semidirect
87. #16810966C22semidirect
88. #16810963C22semidirect
89. #16810963C22semidirect
90. #16810962C22semidirect
91. #16810960C22semidirect
92. #16810953C22semidirect
93. #16810952C22semidirect
97. #16810950C22semidirect
98. #16810947C22semidirect
99. #16810947C22semidirect
101. #16810943C22semidirect
102. #16810941C22semidirect
103. #16810941C22semidirect
104. #16810936C22semidirect
105. #16810933C22semidirect
106. #16810931C22semidirect
107. #16810926C22semidirect
108. #16810926C22semidirect
109. #16810926C22semidirect
110. #16810926C22semidirect
113. #16810924C22semidirect
115. #16810920C22semidirect
116. #16810920C22semidirect
117. #16810917C22semidirect
118. #16810914C22semidirect
120. #16810912C22semidirect
121. #16810910C22semidirect
122. #16810908C22semidirect
123. #16810904C22semidirect
124. #16810902C22semidirect
126. #16810900C22semidirect
127. #16810880C22semidirect
129. #16810876C22semidirect
130. #16810872C22semidirect
131. #16810872C22semidirect
134. #16810869C22semidirect
135. #16810863C22semidirect
137. #16810859C22semidirect
138. #16810852C22semidirect
139. #16810848C22semidirect
140. #16810848C22semidirect
141. #16810845C22semidirect
142. #16810841C22semidirect
143. #16810841C22semidirect
144. #16810839C22semidirect
145. #16810839C22semidirect
155. #16810752C22semidirect
156. #16810747C22semidirect
159. #16810728C22semidirect
160. #16810722C22semidirect
163. C4×#11719924C22semidirect
164. #16810710C22semidirect
166. #16810705C22semidirect
167. #16810705C22semidirect
170. #16810699C22semidirect
171. #16810699C22semidirect
172. #16810694C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810684C22semidirect
176. #16810683C22semidirect
177. #16810675C22semidirect
178. #16810664C22semidirect
179. #16810664C22semidirect
180. #16810662C22semidirect
181. #16810660C22semidirect
182. #16810648C22semidirect
183. #16810645C22semidirect
188. C53×#544C22semidirect
190. C53×#479C22semidirect
191. C53×#479C22semidirect
194. C53×#477C22semidirect
195. C53×#477C22semidirect
198. C53×#428C22semidirect
199. C2×#107×C53C22semidirect
200. C53×#424C22semidirect
851. #3083D53semidirect
890. #544C2×D53semidirect
942. #479C2×D53semidirect
943. #479C2×D53semidirect
957. #477C2×D53semidirect
958. #477C2×D53semidirect
1024. #428C2×D53semidirect
1026. C2×#107C2×D53semidirect
1028. #424C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893562
#202886572
#202876682
#202875852
#202874862
#202873742
#202873062
#202872762
#202872722
#202872422
#202871512
#202871132
#202869432
#202869322
#202869172
#202868672
#202868532
#202865512
#202861782
#202861282
#202861182
#202860202
#202859682
#202858992
#202849922
#202849062
#202847672
#202845432
#202845072
#202838622
C53×#30832
#6217553