Finite Group Databasebeta

← #28281303

Subgroups — #28281303

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#20289364C211yesmaximal, characteristic, complemented
2#20288649C211yesmaximal, characteristic, complemented
3#20287676C211yesmaximal, characteristic, complemented
4#20287587C211yesmaximal, characteristic, complemented
5#20287489C211yesmaximal, characteristic, complemented
6#20287372C211yesmaximal, characteristic, complemented
7#20287308C211yesmaximal, characteristic, complemented
8#20287274C211yesmaximal, characteristic, complemented
9#20287273C211yesmaximal, characteristic, complemented
10#20287248C211yesmaximal, characteristic, complemented
11#20287148C211yesmaximal, characteristic, complemented
12#20287116C211yesmaximal, characteristic, complemented
13#20286944C211yesmaximal, characteristic, complemented
14#20286929C211yesmaximal, characteristic, complemented
15#20286915C211yesmaximal, characteristic, complemented
16#20286874C211yesmaximal, characteristic, complemented
17#20286859C211yesmaximal, characteristic, complemented
18#20286549C211yesmaximal, characteristic, complemented
19#20286178C211yesmaximal, characteristic, complemented
20#20286133C211yesmaximal, characteristic, complemented
21#20286111C211yesmaximal, characteristic, complemented
22#20286018C211yesmaximal, characteristic, complemented
23#20285967C211yesmaximal, characteristic, complemented
24#20284999C211yesmaximal, characteristic, complemented
25#20284904C211yesmaximal, characteristic, complemented
26#20284764C211yesmaximal, characteristic, complemented
27#20284563C211yesmaximal, characteristic, complemented
28#20284539C211yesmaximal, characteristic, complemented
29#20284508C211yesmaximal, characteristic, complemented
30#20283866C211yesmaximal, characteristic, complemented
31C53×#3233C211yesmaximal, characteristic, complemented
32#16811374—21no—
33#16811369—21no—
34#16811355C2211yescharacteristic
35#16811350C2211yescharacteristic, complemented
36#16811345—21no—
37#16811341C2211yescharacteristic
38#16811336C2211yescharacteristic, complemented
39#16811329C2211yescharacteristic
40#16811329C2211yescharacteristic, complemented
41#16811326C2211yescharacteristic
42#16811326C2211yescharacteristic, complemented
43#16811317—21no—
44#16811317C2211yescharacteristic
45#16811315C2211yescharacteristic
46#16811314—21no—
47#16811312C2211yescharacteristic, complemented
48#16811311C2211yescharacteristic, complemented
49#16811302—21no—
50#16811297—21no—
51#16811273C2211yescharacteristic
52#16811268—21no—
53#16811266C2211yescharacteristic
54#16811264C2211yescharacteristic
55#16811257C2211yescharacteristic
56#16811250C2211yescharacteristic, complemented
57#16811250C2211yescharacteristic, complemented
58#16811247C2211yescharacteristic, complemented
59#16811247C2211yescharacteristic, complemented
60#16811245—21no—
61#16811245C2211yescharacteristic
62#16811243—21no—
63#16811231—21no—
64#16811224C2211yescharacteristic
65#16811219—21no—
66#16811214—21no—
67#16811212—21no—
68#16811157C2211yescharacteristic
69#16811157C2211yescharacteristic, complemented
70#16811131—21no—
71#123×D53—21no—
72#16811105C2211yescharacteristic
73#16811095C2211yescharacteristic
74C2×C4×D212C2211yescharacteristic
75#16811030C2211yescharacteristic, complemented
76#16811030C2211yescharacteristic, complemented
77#16811023C2211yescharacteristic, complemented
78#16811020C2211yescharacteristic, complemented
79#16810986C2211yescharacteristic
80#16810984C2211yescharacteristic, complemented
81#16810979C2211yescharacteristic, complemented
82#16810968C2211yescharacteristic
83#16810967C2211yescharacteristic, complemented
84#16810963C2211yescharacteristic, complemented
85#16810959C2211yescharacteristic, complemented
86#16810955C2211yescharacteristic, complemented
87#16810952C2211yescharacteristic, complemented
88#16810949C2211yescharacteristic
89#16810949C2211yescharacteristic, complemented
90#16810949C2211yescharacteristic, complemented
91#16810946C2211yescharacteristic, complemented
92#16810943C2211yescharacteristic
93#16810943C2211yescharacteristic, complemented
94#16810943C2211yescharacteristic, complemented
95#16810942C2211yescharacteristic, complemented
96#16810935C2211yescharacteristic, complemented
97#16810930C2211yescharacteristic, complemented
98#16810929C2211yescharacteristic, complemented
99#16810928C2211yescharacteristic, complemented
100#16810927C2211yescharacteristic, complemented
101#16810926C2211yescharacteristic
102#16810926C2211yescharacteristic
103#16810926C2211yescharacteristic, complemented
104#16810924C2211yescharacteristic
105#16810924C2211yescharacteristic, complemented
106#16810923C2211yescharacteristic, complemented
107#16810921C2211yescharacteristic, complemented
108#16810920C2211yescharacteristic
109#16810920C2211yescharacteristic
110#16810920C2211yescharacteristic, complemented
111#16810920C2211yescharacteristic, complemented
112#16810920C2211yescharacteristic, complemented
113#16810917C2211yescharacteristic, complemented
114#16810916C2211yescharacteristic, complemented
115#16810911C2211yescharacteristic, complemented
116#16810910C2211yescharacteristic
117#16810910C2211yescharacteristic, complemented
118#16810902C2211yescharacteristic
119#16810902C2211yescharacteristic
120#16810902C2211yescharacteristic, complemented
121#16810900C2211yescharacteristic
122#16810900C2211yescharacteristic, complemented
123#16810879C2211yescharacteristic, complemented
124#16810875C2211yescharacteristic, complemented
125#16810874C2211yescharacteristic
126#16810872C2211yescharacteristic, complemented
127#16810871C2211yescharacteristic, complemented
128#16810870C2211yescharacteristic
129#16810870C2211yescharacteristic, complemented
130#16810867C2211yescharacteristic
131#16810863C2211yescharacteristic, complemented
132#16810860C2211yescharacteristic
133#16810860C2211yescharacteristic, complemented
134#16810851C2211yescharacteristic, complemented
135#16810848C2211yescharacteristic, complemented
136#16810845C2211yescharacteristic, complemented
137#16810842C2211yescharacteristic, complemented
138#16810841C2211yescharacteristic, complemented
139#16810839C2211yescharacteristic
140#16810839C2211yescharacteristic, complemented
141#16810838C2211yescharacteristic, complemented
142#16810835C2211yescharacteristic, complemented
143#16810822C2211yescharacteristic
144#16810817C2211yescharacteristic
145#16810788C2211yescharacteristic
146#16810776C2211yescharacteristic
147#16810775C2211yescharacteristic
148#16810771C2211yescharacteristic
149#16810759C2211yescharacteristic
150#16810758C2211yescharacteristic
151#16810753C2211yescharacteristic, complemented
152C8×Dic106C2211yescharacteristic, complemented
153#16810734C2211yescharacteristic
154#16810734C2211yescharacteristic
155#16810727C2211yescharacteristic, complemented
156#16810720C2211yescharacteristic, complemented
157C4×#11719913C2211yescharacteristic
158C4×#11719913C2211yescharacteristic, complemented
159#16810710C2211yescharacteristic
160#16810710C2211yescharacteristic
161#16810708C2211yescharacteristic, complemented
162C4×D424C2211yescharacteristic
163C4×D424C2211yescharacteristic, complemented
164#16810703C2211yescharacteristic, complemented
165#16810702C2211yescharacteristic, complemented
166#16810698C2211yescharacteristic
167#16810698C2211yescharacteristic, complemented
168#16810697C2211yescharacteristic
169#16810697C2211yescharacteristic, complemented
170C8×D212C2211yescharacteristic, complemented
171#16810683C2211yescharacteristic, complemented
172#16810683C2211yescharacteristic, complemented
173#16810666C2211yescharacteristic, complemented
174#16810666C2211yescharacteristic, complemented
175#16810664C2211yescharacteristic, complemented
176#16810664C2211yescharacteristic, complemented
177#16810660C2211yescharacteristic, complemented
178#107×D53C2211yescharacteristic, complemented
179#16810648C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810647C2211yescharacteristic, complemented
182#16810627C2211yescharacteristic
183#16810627C2211yescharacteristic
184#16810626C2211yescharacteristic
185#16810623C2211yescharacteristic
186#16810618C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#533C2211yescharacteristic, complemented
189C53×#529C2211yescharacteristic
190C53×#499C2211yescharacteristic, complemented
191C53×#499C2211yescharacteristic, complemented
192C53×#488C2211yescharacteristic, complemented
193C53×#488C2211yescharacteristic, complemented
194C53×#485C2211yescharacteristic, complemented
195C53×#485C2211yescharacteristic, complemented
196C53×#482C2211yescharacteristic
197C53×#482C2211yescharacteristic
198C53×#477C2211yescharacteristic, complemented
199C53×#476C2211yescharacteristic, complemented
200C53×#475C2211yescharacteristic, complemented
201C53×#474C2211yescharacteristic, complemented
202C53×#431C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719947—21no—
205C22×D212C2311yescharacteristic
206C2×D4×D53—21no—
207C2×D4×D53C2311yescharacteristic
208C22×C4×D53—21no—
209C2×#11719925C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719913C2311yescharacteristic
212C2×#11719923C2311yescharacteristic
213C2×#11719924C2311yescharacteristic
214C2×D424C2311yescharacteristic
215C2×D424C2311yescharacteristic
216C2×#11719922C2311yescharacteristic
217C2×#11719917C2311yescharacteristic
218C2×#11719917C2311yescharacteristic
219C2×#11719912C2311yescharacteristic
220C2×#11719912C2311yescharacteristic
221C2×C8×D53C2311yescharacteristic
222C2×C8×D53C2311yescharacteristic
223#13133216—21no—
224#13133216C2311yescharacteristic
225#13133216C2311yescharacteristic
226#13133216C2311yescharacteristic
227#13133215—21no—
228#13133215—21no—
229#13133213C2311yescharacteristic
230#13133212—21no—
231#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133212—21no—
235#13133212—21no—
236#13133211—21no—
237#13133211—21no—
238#13133211—21no—
239#13133211—21no—
240#13133211D411yescharacteristic
241#13133211D411yescharacteristic
242#13133210—21no—
243#13133210—21no—
244#13133209—21no—
245#13133209D411yescharacteristic
246#13133209C2311yescharacteristic
247#13133208—21no—
248#13133208—21no—
249#13133208C2311yescharacteristic
250#13133208C2311yescharacteristic
251#13133208C2311yescharacteristic
252#13133207—21no—
253#13133207—21no—
254#13133207—21no—
255#13133207—21no—
256#13133206—21no—
257#13133206—21no—
258#13133206C2311yescharacteristic
259#13133205—21no—
260#13133205—21no—
261#13133205D411yescharacteristic
262#13133205C2311yescharacteristic
263#13133203—21no—
264#13133203—21no—
265#13133203—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133202—21no—
270#13133202—21no—
271#13133202—21no—
272#13133202—21no—
273#13133201—21no—
274#13133201—21no—
275#13133200—21no—
276#13133200—21no—
277#13133200D411yescharacteristic
278#13133200D411yescharacteristic
279#13133199—21no—
280#13133199—21no—
281#13133199—21no—
282#13133199—21no—
283#13133199—21no—
284#13133199—21no—
285#13133198—21no—
286#13133197—21no—
287#13133197—21no—
288#13133197C2311yescharacteristic
289#13133197C2311yescharacteristic
290#13133196D411yescharacteristic
291#13133196C2311yescharacteristic
292#13133195—21no—
293#13133195—21no—
294#13133195—21no—
295#13133195—21no—
296#13133195—21no—
297#13133195—21no—
298#13133195—21no—
299#13133194—21no—
300#13133193—21no—
301#13133193—21no—
302#13133193—21no—
303#13133193—21no—
304#13133193C2311yescharacteristic
305#13133192—21no—
306#13133192—21no—
307#13133192—21no—
308#13133192C2311yescharacteristic
309#13133192C2311yescharacteristic
310#13133192C2311yescharacteristic
311#13133192C2311yescharacteristic
312#13133191—21no—
313#13133191D411yescharacteristic
314#13133191C2311yescharacteristic
315#13133190—21no—
316#13133190—21no—
317#13133190—21no—
318#13133190—21no—
319#13133190—21no—
320#13133188C2311yescharacteristic
321#13133187—21no—
322#13133187—21no—
323#13133187—21no—
324#13133185—21no—
325Q8×Dic53C2311yescharacteristic
326C4×Dic106—21no—
327C4×Dic106C2311yescharacteristic
328C4×Dic106C2311yescharacteristic
329#13133182—21no—
330#13133182C2311yescharacteristic
331#13133182C2311yescharacteristic
332C4×D212—21no—
333C4×D212—21no—
334C4×D212—21no—
335C4×D212—21no—
336C4×D212C2311yescharacteristic
337C4×D212C2311yescharacteristic
338C4×D212C2311yescharacteristic
339C4×D212C2311yescharacteristic
340C4×D212C2311yescharacteristic
341C4×D212C2311yescharacteristic
342D4×Dic53C2311yescharacteristic
343#13133179—21no—
344#13133179—21no—
345#13133179—21no—
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348#13133179C2311yescharacteristic
349#13133179C2311yescharacteristic
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53C2311yescharacteristic
353C4×C22⋊D53C2311yescharacteristic
354#13133177—21no—
355#13133177—21no—
356#13133175—21no—
357#13133175C2311yescharacteristic
358#13133175C2311yescharacteristic
359#13133175C2311yescharacteristic
360#13133174—21no—
361#13133174—21no—
362#13133174—21no—
363#13133174—21no—
364#13133174C2311yescharacteristic
365#13133174C2311yescharacteristic
366#13133173—21no—
367C2×C4⋊Dic53C2311yescharacteristic
368C4⋊C4×D53—21no—
369C4⋊C4×D53—21no—
370C4⋊C4×D53—21no—
371C4⋊C4×D53C2311yescharacteristic
372C4⋊C4×D53C2311yescharacteristic
373C4⋊C4×D53C2311yescharacteristic
374C2×#11719921—21no—
375C2×#11719921—21no—
376C22⋊C4×D53—21no—
377C22⋊C4×D53—21no—
378C22⋊C4×D53—21no—
379#13133151C2311yescharacteristic
380#13133151C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396C4⋊#88322C2311yescharacteristic
397C4⋊#88322C2311yescharacteristic
398C4⋊#88322C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133129C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C4⋊Q8×C53C2311yescharacteristic
436C4⋊Q8×C53C2311yescharacteristic
437#126×C53—21no—
438#125×C53C2311yescharacteristic
439#125×C53C2311yescharacteristic
440#125×C53C2311yescharacteristic
441#124×C53C2311yescharacteristic
442#123×C53—21no—
443C22⋊Q8×C53—21no—
444C22⋊Q8×C53—21no—
445C22⋊Q8×C53C2311yescharacteristic
446#121×C53C2311yescharacteristic
447C4×Q8×C53—21no—
448C4×Q8×C53—21no—
449C4×Q8×C53C2311yescharacteristic
450C4×D4×C53—21no—
451C4×D4×C53C2311yescharacteristic
452#117×C53—21no—
453#117×C53C2311yescharacteristic
454#117×C53C2311yescharacteristic
455C2×C42×C53C2311yescharacteristic
456#107×C53C2311yescharacteristic
457#107×C53C2311yescharacteristic
458#107×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#106×C53C2311yescharacteristic
461#106×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C4×C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C23×D53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53—21no—
482C2×Q8×C53C2411yescharacteristic
483C2×D4×C53—21no—
484C2×D4×C53C2411yescharacteristic
485C22×C4×C53—21no—
486C22×C4×C53C2×D411yescharacteristic
487C22×C4×C53C2×D411yescharacteristic
488C22×C4×C53C2411yescharacteristic
489C2×C22⋊D53—21no—
490C2×C22⋊D53—21no—
491C2×C22⋊D53—21no—
492C2×C22⋊D53—21no—
493C2×C22⋊D53—21no—
494C2×C22⋊D53C2×D411yescharacteristic
495C2×C22⋊D53C2×D411yescharacteristic
496C22×Dic53—21no—
497C22×Dic53—21no—
498#11719949—22no—
499#11719949—41no—
500#11719947—82no—
501D4×D53—22no—
502D4×D53—41no—
503D4×D53—82no—
504C2×D212—22no—
505C2×D212—21no—
506C2×D212—21no—
507C2×D212—21no—
508C2×D212—21no—
509C2×D212—21no—
510C2×D212—21no—
511C2×D212—41no—
512C2×D212C2×D411yescharacteristic
513C2×D212C2411yescharacteristic
514C2×D212C2411yescharacteristic
515C2×D212C2411yescharacteristic
516C2×C4×D53—21no—
517C2×C4×D53—21no—
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—21no—
528C2×C4×D53—21no—
529C2×C4×D53—82no—
530C2×C4×D53C2411yescharacteristic
531C2×C4×D53C2411yescharacteristic
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106C2×D411yescharacteristic
536C2×Dic106C2411yescharacteristic
537C2×C8×C53C2411yescharacteristic
538C2×C8×C53C2411yescharacteristic
539C2×C8×C53C2411yescharacteristic
540C2×C8×C53C2411yescharacteristic
541C4⋊C4×C53—21no—
542C4⋊C4×C53—21no—
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×C53C2411yescharacteristic
552C4⋊C4×C53C2411yescharacteristic
553C4⋊C4×C53C2411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C22⋊C4×C53—21no—
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C42×C53—21no—
565C42×C53—21no—
566C42×C53—21no—
567C42×C53C2×D411yescharacteristic
568C42×C53C2×D411yescharacteristic
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—41no—
579#11719922—41no—
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#11719921C2×D411yescharacteristic
605#11719921C2×D411yescharacteristic
606#11719921C2×D411yescharacteristic
607#11719921C2×D411yescharacteristic
608#11719921C2×D411yescharacteristic
609#11719921C2×D411yescharacteristic
610#11719921C2×D411yescharacteristic
611#11719921C2×D411yescharacteristic
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
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#11719919C2×D411yescharacteristic
642#11719919C2×D411yescharacteristic
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×Dic53C2411yescharacteristic
657C4×Dic53C2411yescharacteristic
658#11719917—41no—
659#11719917—41no—
660C2×#88322C2411yescharacteristic
661C2×#88322C2411yescharacteristic
662C2×#88322C2411yescharacteristic
663C2×#88322C2411yescharacteristic
664D424—22no—
665D424—41no—
666#11719913—22no—
667#11719913—41no—
668#11719912—41no—
669#11719912—41no—
670C8×D53—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—21no—
691D4×C53—42no—
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—41no—
702C2×C4×C53—41no—
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×C53C2511yescharacteristic
710C22⋊D53—41no—
711C22⋊D53—41no—
712C22⋊D53—42no—
713C22⋊D53—81no—
714C22⋊D53—81no—
715C22⋊D53—81no—
716C22⋊D53—81no—
717C2×Dic53—21no—
718C2×Dic53—21no—
719C2×Dic53—21no—
720C2×Dic53—21no—
721C2×Dic53—21no—
722C2×Dic53—42no—
723C2×Dic53—81no—
724C2×Dic53C22×D411yescharacteristic
725C2×Dic53C22×D411yescharacteristic
726C2×Dic53C22×D411yescharacteristic
727C2×Dic53C22×D411yescharacteristic
728C2×Dic53C22×D411yescharacteristic
729C2×Dic53C22×D411yescharacteristic
730D212—21no—
731D212—21no—
732D212—21no—
733D212—21no—
734D212—21no—
735D212—41no—
736D212—42no—
737D212—42no—
738D212—81no—
739D212—81no—
740D212—81no—
741D212—81no—
742D2122−1+412yes—
743C4×D53—21no—
744C4×D53—21no—
745C4×D53—21no—
746C4×D53—21no—
747C4×D53—42no—
748C4×D53—81no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
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—21no—
778C22×C53—41no—
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—22no—
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#3233D5311yescharacteristic, complemented
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—41no—
856C2×C53—81no—
857C2×C53#348911yescharacteristic
858C2×C53#358411yescharacteristic
859C2×C53#358511yescharacteristic
860D53—41no—
861D53—41no—
862D53—42no—
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#544—531no—
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#533C2×D5311yescharacteristic, complemented
902#529—531no—
903#529—531no—
904#529C2×D5311yescharacteristic
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501—531no—
912#499—531no—
913#499C2×D5311yescharacteristic, complemented
914#499C2×D5311yescharacteristic, complemented
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488C2×D5311yescharacteristic, complemented
920#488C2×D5311yescharacteristic, complemented
921#486—531no—
922#485—531no—
923#485—531no—
924#485C2×D5311yescharacteristic, complemented
925#485C2×D5311yescharacteristic, complemented
926#484—531no—
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482C2×D5311yescharacteristic
934#482C2×D5311yescharacteristic
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
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#478—531no—
955#478—531no—
956#477—531no—
957#477—531no—
958#477C2×D5311yescharacteristic, complemented
959#476—531no—
960#476—531no—
961#476—531no—
962#476C2×D5311yescharacteristic, complemented
963#475C2×D5311yescharacteristic, complemented
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474C2×D5311yescharacteristic, complemented
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#431C2×D5311yescharacteristic, complemented
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428—531no—
1025#427—531no—
1026C2×#107—531no—
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418—531no—
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
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×M16—531no—
1055C22×C8—531no—
1056C22×C8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—1061no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8C22×D5311yescharacteristic
1064C4⋊Q8C22×D5311yescharacteristic
1065#127—531no—
1066#126—21no—
1067#126—531no—
1068#126—531no—
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—531no—
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#125C22×D5311yescharacteristic
1094#125C22×D5311yescharacteristic
1095#125C22×D5311yescharacteristic
1096#124—531no—
1097#124—531no—
1098#124—531no—
1099#124—1061no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124C22×D5311yescharacteristic
1107#123—21no—
1108#123—531no—
1109#123—531no—
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—1061no—
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⋊Q8C22×D5311yescharacteristic
1150#121—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—1061no—
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#121C22×D5311yescharacteristic
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—21no—
1182C4×D4—531no—
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×D4—1061no—
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—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—531no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42C22×D5311yescharacteristic
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
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#106C22×D5311yescharacteristic
1255#106C22×D5311yescharacteristic
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⋊C8—531no—
1265C4⋊C8—531no—
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⋊C8C22×D5311yescharacteristic
1305C22⋊C8C22×D5311yescharacteristic
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8C22×D5311yescharacteristic
1311C4×C8C22×D5311yescharacteristic
1312C24—1061no—
1313C24—1061no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
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—1062no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1061no—
1339C2×D4—1061no—
1340C2×D4—1061no—
1341C2×D4—1062no—
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—531no—
1351C22×C4—531no—
1352C22×C4—1061no—
1353C22×C4—1061no—
1354C22×C4—1061no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
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—4242no—
1368C22×C4D4×D5311yescharacteristic
1369C22×C4D4×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—1062no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—2121no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—531no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—2121no—
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—531no—
1416C4⋊C4—531no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊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—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—531no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—531no—
1461C22⋊C4—531no—
1462C22⋊C4—531no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4—1061no—
1489C22⋊C4—1061no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—531no—
1494C42—531no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42D4×D5311yescharacteristic
1503C42D4×D5311yescharacteristic
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—21no—
1531D4—42no—
1532D4—532no—
1533D4—1061no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—1061no—
1538D4—4241no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—4241no—
1546D4—2121no—
1547D4—2122no—
1548D4—2122no—
1549D4—2121no—
1550D4—2121no—
1551D4—2122no—
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—41no—
1562C2×C4—41no—
1563C2×C4—81no—
1564C2×C4—531no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—1061no—
1571C2×C4—1061no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—4241no—
1580C2×C4—4241no—
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—4241no—
1592C2×C4—2122no—
1593C2×C4—2122no—
1594C2×C4C2×D4×D5311yescharacteristic
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—8482no—
1615C22—1061no—
1616C22—1061no—
1617C22—1062no—
1618C22—1061no—
1619C22—1061no—
1620C22—1061no—
1621C22—1061no—
1622C22—4244no—
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—
1655C42−1+4×D5311yescharacteristic
1656C4#1681146011yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—4241no—
1660C2—4241no—
1661C2—2121no—
1662C2—2122no—
1663C2—2121no—
1664C2#2028839311yescharacteristic
1665C2#2028948411yescharacteristic
1666C2#2028949211yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3233C2
socleC22×C53C23×D4
hypercenter#3233D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3233

Complements

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

NH ≅ G/Ntype
1. #20289364C2semidirect
2. #20288649C2semidirect
3. #20287676C2semidirect
4. #20287587C2semidirect
5. #20287489C2semidirect
6. #20287372C2semidirect
7. #20287308C2semidirect
8. #20287274C2semidirect
9. #20287273C2semidirect
10. #20287248C2semidirect
11. #20287148C2semidirect
12. #20287116C2semidirect
13. #20286944C2semidirect
14. #20286929C2semidirect
15. #20286915C2semidirect
16. #20286874C2semidirect
17. #20286859C2semidirect
18. #20286549C2semidirect
19. #20286178C2semidirect
20. #20286133C2semidirect
21. #20286111C2semidirect
22. #20286018C2semidirect
23. #20285967C2semidirect
24. #20284999C2semidirect
25. #20284904C2semidirect
26. #20284764C2semidirect
27. #20284563C2semidirect
28. #20284539C2semidirect
29. #20284508C2semidirect
30. #20283866C2semidirect
31. C53×#3233C2semidirect
35. #16811350C22semidirect
38. #16811336C22semidirect
40. #16811329C22semidirect
42. #16811326C22semidirect
47. #16811312C22semidirect
48. #16811311C22semidirect
56. #16811250C22semidirect
57. #16811250C22semidirect
58. #16811247C22semidirect
59. #16811247C22semidirect
69. #16811157C22semidirect
75. #16811030C22semidirect
76. #16811030C22semidirect
77. #16811023C22semidirect
78. #16811020C22semidirect
80. #16810984C22semidirect
81. #16810979C22semidirect
83. #16810967C22semidirect
84. #16810963C22semidirect
85. #16810959C22semidirect
86. #16810955C22semidirect
87. #16810952C22semidirect
89. #16810949C22semidirect
90. #16810949C22semidirect
91. #16810946C22semidirect
93. #16810943C22semidirect
94. #16810943C22semidirect
95. #16810942C22semidirect
96. #16810935C22semidirect
97. #16810930C22semidirect
98. #16810929C22semidirect
99. #16810928C22semidirect
100. #16810927C22semidirect
103. #16810926C22semidirect
105. #16810924C22semidirect
106. #16810923C22semidirect
107. #16810921C22semidirect
110. #16810920C22semidirect
111. #16810920C22semidirect
112. #16810920C22semidirect
113. #16810917C22semidirect
114. #16810916C22semidirect
115. #16810911C22semidirect
117. #16810910C22semidirect
120. #16810902C22semidirect
122. #16810900C22semidirect
123. #16810879C22semidirect
124. #16810875C22semidirect
126. #16810872C22semidirect
127. #16810871C22semidirect
129. #16810870C22semidirect
131. #16810863C22semidirect
133. #16810860C22semidirect
134. #16810851C22semidirect
135. #16810848C22semidirect
136. #16810845C22semidirect
137. #16810842C22semidirect
138. #16810841C22semidirect
140. #16810839C22semidirect
141. #16810838C22semidirect
142. #16810835C22semidirect
151. #16810753C22semidirect
152. C8×Dic106C22semidirect
155. #16810727C22semidirect
156. #16810720C22semidirect
158. C4×#11719913C22semidirect
161. #16810708C22semidirect
163. C4×D424C22semidirect
164. #16810703C22semidirect
165. #16810702C22semidirect
167. #16810698C22semidirect
169. #16810697C22semidirect
170. C8×D212C22semidirect
171. #16810683C22semidirect
172. #16810683C22semidirect
173. #16810666C22semidirect
174. #16810666C22semidirect
175. #16810664C22semidirect
176. #16810664C22semidirect
177. #16810660C22semidirect
178. #107×D53C22semidirect
179. #16810648C22semidirect
180. #16810648C22semidirect
181. #16810647C22semidirect
188. C53×#533C22semidirect
190. C53×#499C22semidirect
191. C53×#499C22semidirect
192. C53×#488C22semidirect
193. C53×#488C22semidirect
194. C53×#485C22semidirect
195. C53×#485C22semidirect
198. C53×#477C22semidirect
199. C53×#476C22semidirect
200. C53×#475C22semidirect
201. C53×#474C22semidirect
202. C53×#431C22semidirect
847. #3233D53semidirect
901. #533C2×D53semidirect
913. #499C2×D53semidirect
914. #499C2×D53semidirect
919. #488C2×D53semidirect
920. #488C2×D53semidirect
924. #485C2×D53semidirect
925. #485C2×D53semidirect
958. #477C2×D53semidirect
962. #476C2×D53semidirect
963. #475C2×D53semidirect
969. #474C2×D53semidirect
1020. #431C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893642
#202886492
#202876762
#202875872
#202874892
#202873722
#202873082
#202872742
#202872732
#202872482
#202871482
#202871162
#202869442
#202869292
#202869152
#202868742
#202868592
#202865492
#202861782
#202861332
#202861112
#202860182
#202859672
#202849992
#202849042
#202847642
#202845632
#202845392
#202845082
#202838662
C53×#32332
#6217553