Finite Group Databasebeta

← #28262977

Subgroups — #28262977

Order 13568.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288423C211yesmaximal, characteristic, complemented
2#20288419C211yesmaximal, characteristic, complemented
3#20287206C211yesmaximal, characteristic, complemented
4#20287202C211yesmaximal, characteristic, complemented
5#20287196C211yesmaximal, characteristic, complemented
6#20287160C211yesmaximal, characteristic, complemented
7#20287156C211yesmaximal, characteristic, complemented
8#20287154C211yesmaximal, characteristic, complemented
9#20287150C211yesmaximal, characteristic, complemented
10#20287115C211yesmaximal, characteristic, complemented
11#20287111C211yesmaximal, characteristic, complemented
12#20287103C211yesmaximal, characteristic, complemented
13#20287102C211yesmaximal, characteristic, complemented
14#20287080C211yesmaximal, characteristic, complemented
15#20287076C211yesmaximal, characteristic, complemented
16#20287061C211yesmaximal, characteristic, complemented
17#20287057C211yesmaximal, characteristic, complemented
18#20285250C211yesmaximal, characteristic, complemented
19#20284696C211yesmaximal, characteristic, complemented
20#20284688C211yesmaximal, characteristic, complemented
21#20284642C211yesmaximal, characteristic, complemented
22#20284637C211yesmaximal, characteristic, complemented
23#20284569C211yesmaximal, characteristic, complemented
24#20284561C211yesmaximal, characteristic, complemented
25#20284383C211yesmaximal, characteristic, complemented
26#20284291C211yesmaximal, characteristic, complemented
27#20283587C211yesmaximal, characteristic, complemented
28#20283406C211yesmaximal, characteristic, complemented
29#20283314C211yesmaximal, characteristic, complemented
30C2×#107×D53C211yesmaximal, characteristic, complemented
31C53×#3346C211yesmaximal, characteristic, complemented
32C2×#13133238C2211yescharacteristic
33C2×#13133225C2211yescharacteristic
34C22×C8×D53C2211yescharacteristic
35#16811332—21no—
36#16811331C2211yescharacteristic
37#16811330C2211yescharacteristic
38#16811328C2211yescharacteristic
39#16811327—21no—
40#16811325C2211yescharacteristic
41#16811322—21no—
42#16811321C2211yescharacteristic
43#16811319C2211yescharacteristic
44#16811316—21no—
45#16811314C2211yescharacteristic
46#16811312C2211yescharacteristic
47#16811311C2211yescharacteristic
48#16811309—21no—
49#16811307C2211yescharacteristic
50#16811305—21no—
51#16811278C2211yescharacteristic
52#16811276C2211yescharacteristic
53#16811275—21no—
54#16811274C2211yescharacteristic
55#16811273C2211yescharacteristic
56#16811271—21no—
57#16811253C2211yescharacteristic
58#16811250C2211yescharacteristic
59#16811221—21no—
60#16811219—21no—
61#16811216—21no—
62#16811214—21no—
63#16811203C2211yescharacteristic
64#16811202C2211yescharacteristic
65#16811136—21no—
66#16811136C2211yescharacteristic
67#16811133—21no—
68#16811133C2211yescharacteristic
69#16811132—21no—
70#16811132—21no—
71#16811132C2211yescharacteristic
72#16811105C2211yescharacteristic
73#16811104C2211yescharacteristic
74#16811103C2211yescharacteristic
75#16811102C2211yescharacteristic
76C2×C4⋊C4×D53C2211yescharacteristic
77C2×C4⋊C4×D53C2211yescharacteristic
78#16811032C2211yescharacteristic, complemented
79#16811031C2211yescharacteristic, complemented
80#16811030C2211yescharacteristic, complemented
81#16811027C2211yescharacteristic, complemented
82#16811026C2211yescharacteristic, complemented
83#16811023C2211yescharacteristic, complemented
84#16811022C2211yescharacteristic, complemented
85#16810966C2211yescharacteristic, complemented
86#16810965C2211yescharacteristic, complemented
87#16810963C2211yescharacteristic, complemented
88#16810960C2211yescharacteristic, complemented
89#16810959C2211yescharacteristic
90#16810958C2211yescharacteristic
91#16810958C2211yescharacteristic, complemented
92#16810957C2211yescharacteristic, complemented
93#16810956C2211yescharacteristic
94#16810956C2211yescharacteristic, complemented
95#16810955C2211yescharacteristic
96#16810955C2211yescharacteristic
97#16810952C2211yescharacteristic
98#16810952C2211yescharacteristic
99#16810949C2211yescharacteristic, complemented
100#16810947C2211yescharacteristic, complemented
101#16810946C2211yescharacteristic, complemented
102#16810944C2211yescharacteristic, complemented
103#16810942C2211yescharacteristic
104#16810941C2211yescharacteristic
105#16810939C2211yescharacteristic
106#16810938C2211yescharacteristic
107#16810938C2211yescharacteristic
108#16810938C2211yescharacteristic, complemented
109#16810937C2211yescharacteristic, complemented
110#16810935C2211yescharacteristic
111#16810935C2211yescharacteristic
112#16810935C2211yescharacteristic, complemented
113#16810932C2211yescharacteristic, complemented
114#16810931C2211yescharacteristic, complemented
115#16810929C2211yescharacteristic, complemented
116#16810925C2211yescharacteristic, complemented
117#16810923C2211yescharacteristic, complemented
118#16810922C2211yescharacteristic, complemented
119#16810920C2211yescharacteristic, complemented
120#16810918C2211yescharacteristic, complemented
121#16810917C2211yescharacteristic, complemented
122#16810916C2211yescharacteristic, complemented
123#16810915C2211yescharacteristic, complemented
124#16810904C2211yescharacteristic, complemented
125#16810902C2211yescharacteristic, complemented
126#16810901C2211yescharacteristic, complemented
127#16810870C2211yescharacteristic, complemented
128#16810869C2211yescharacteristic, complemented
129#16810866C2211yescharacteristic, complemented
130#16810863C2211yescharacteristic
131#16810863C2211yescharacteristic, complemented
132#16810862C2211yescharacteristic
133#16810862C2211yescharacteristic, complemented
134#16810858C2211yescharacteristic
135#16810858C2211yescharacteristic, complemented
136#16810857C2211yescharacteristic
137#16810857C2211yescharacteristic, complemented
138#16810853C2211yescharacteristic
139#16810852C2211yescharacteristic
140#16810849C2211yescharacteristic
141#16810725C2211yescharacteristic, complemented
142#16810724C2211yescharacteristic, complemented
143#16810722C2211yescharacteristic, complemented
144C4×#11719925C2211yescharacteristic, complemented
145#16810715C2211yescharacteristic, complemented
146C4×#11719922C2211yescharacteristic, complemented
147#16810703C2211yescharacteristic, complemented
148#16810696C2211yescharacteristic
149#16810694C2211yescharacteristic
150#16810692C2211yescharacteristic
151D4×#88322C2211yescharacteristic
152#16810688C2211yescharacteristic
153#16810686C2211yescharacteristic
154#16810686C2211yescharacteristic
155#16810665C2211yescharacteristic, complemented
156#16810664C2211yescharacteristic
157#16810664C2211yescharacteristic
158#16810664C2211yescharacteristic, complemented
159#16810662C2211yescharacteristic
160#16810662C2211yescharacteristic
161#16810662C2211yescharacteristic, complemented
162#16810659C2211yescharacteristic, complemented
163#16810658C2211yescharacteristic
164#16810658C2211yescharacteristic, complemented
165C2×#13133151C2211yescharacteristic
166C2×#13133150C2211yescharacteristic
167C2×#13133150C2211yescharacteristic
168C2×#13133150C2211yescharacteristic, complemented
169#107×D53C2211yescharacteristic
170#107×D53C2211yescharacteristic
171#107×D53C2211yescharacteristic
172#107×D53C2211yescharacteristic
173#107×D53C2211yescharacteristic
174#107×D53C2211yescharacteristic
175#107×D53C2211yescharacteristic
176#107×D53C2211yescharacteristic
177#107×D53C2211yescharacteristic, complemented
178#16810648C2211yescharacteristic
179#16810623C2211yescharacteristic
180#16810623C2211yescharacteristic
181#16810621C2211yescharacteristic
182#16810621C2211yescharacteristic
183#16810618C2211yescharacteristic
184#16810616C2211yescharacteristic
185#16810588C2211yescharacteristic
186#16810585C2211yescharacteristic
187#16810580C2211yescharacteristic
188C53×#554C2211yescharacteristic
189C53×#553C2211yescharacteristic
190C53×#501C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#484C2211yescharacteristic
193C53×#481C2211yescharacteristic
194C53×#480C2211yescharacteristic, complemented
195C53×#479C2211yescharacteristic, complemented
196C53×#474C2211yescharacteristic, complemented
197C53×#468C2211yescharacteristic, complemented
198C53×#465C2211yescharacteristic
199C53×#440C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic
201C53×#428C2211yescharacteristic, complemented
202C2×#107×C53C2211yescharacteristic
203C2×#11719949—21no—
204C2×#11719949C2311yescharacteristic
205C2×#11719945—21no—
206C2×#11719945—21no—
207C2×#11719945C2311yescharacteristic
208C2×#11719947—21no—
209C2×#11719947C2311yescharacteristic
210C22×C4×D53—21no—
211C22×C4×D53—21no—
212C22×C4×D53C2311yescharacteristic
213#13133238—24no—
214C2×#11719925C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719922C2311yescharacteristic
217#13133225—24no—
218C2×#11719912C2311yescharacteristic
219C2×#11719912C2311yescharacteristic
220C2×#11719912C2311yescharacteristic
221C22×#88322C2311yescharacteristic
222C22×#88322C2311yescharacteristic
223C2×C8×D53—24no—
224C2×C8×D53C2311yescharacteristic
225C2×C8×D53C2311yescharacteristic
226C2×C8×D53C2311yescharacteristic
227C2×C8×D53C2311yescharacteristic
228C2×C8×D53C2311yescharacteristic
229#13133217C2311yescharacteristic
230#13133216—21no—
231#13133216C2311yescharacteristic
232#13133216C2311yescharacteristic
233#13133215—21no—
234#13133212—21no—
235#13133212—21no—
236#13133212—21no—
237#13133211—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210—21no—
241#13133209—21no—
242#13133209C2311yescharacteristic
243#13133208—21no—
244#13133208—21no—
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133207—21no—
248#13133207—21no—
249#13133207—21no—
250#13133207—21no—
251#13133207—21no—
252#13133207—21no—
253#13133202—21no—
254#13133202—21no—
255#13133202—21no—
256#13133202—21no—
257#13133202—21no—
258#13133202—21no—
259#13133202—21no—
260#13133202D411yescharacteristic
261#13133201—21no—
262#13133200—21no—
263#13133199—21no—
264#13133199—21no—
265#13133199—21no—
266#13133199—21no—
267#13133199—21no—
268#13133199—21no—
269#13133199—21no—
270#13133199D411yescharacteristic
271#13133198—21no—
272#13133197—21no—
273#13133197—21no—
274#13133197C2311yescharacteristic
275#13133197C2311yescharacteristic
276#13133196—21no—
277#13133196—21no—
278#13133196C2311yescharacteristic
279#13133196C2311yescharacteristic
280#13133195—21no—
281#13133195—21no—
282#13133195—21no—
283#13133195—21no—
284#13133195—21no—
285#13133195D411yescharacteristic
286#13133194—21no—
287#13133194—21no—
288#13133194—21no—
289#13133194—21no—
290#13133194—21no—
291#13133194D411yescharacteristic
292#13133193—21no—
293#13133193—21no—
294#13133193C2311yescharacteristic
295#13133193C2311yescharacteristic
296#13133192—21no—
297#13133192C2311yescharacteristic
298#13133192C2311yescharacteristic
299#13133191—21no—
300#13133191C2311yescharacteristic
301#13133191C2311yescharacteristic
302#13133190—21no—
303#13133190—21no—
304#13133190—21no—
305#13133190D411yescharacteristic
306#13133189—21no—
307#13133189—21no—
308#13133189—21no—
309#13133189D411yescharacteristic
310#13133188—21no—
311#13133188C2311yescharacteristic
312#13133188C2311yescharacteristic
313#13133187—21no—
314#13133187D411yescharacteristic
315#13133185—21no—
316#13133185D411yescharacteristic
317Q8×Dic53C2311yescharacteristic
318C4×Dic106—21no—
319C4×Dic106C2311yescharacteristic
320#13133182—21no—
321#13133182C2311yescharacteristic
322C4×D212—21no—
323C4×D212—21no—
324C4×D212C2311yescharacteristic
325C4×D212C2311yescharacteristic
326D4×Dic53—21no—
327D4×Dic53—21no—
328D4×Dic53—21no—
329D4×Dic53C2311yescharacteristic
330#13133179—21no—
331#13133179—21no—
332#13133179—21no—
333#13133179C2311yescharacteristic
334C4×C22⋊D53—21no—
335C4×C22⋊D53—21no—
336C4×C22⋊D53—21no—
337C4×C22⋊D53—21no—
338C4×C22⋊D53—21no—
339C4×C22⋊D53C2311yescharacteristic
340C4×C22⋊D53C2311yescharacteristic
341#13133177—21no—
342#13133177—21no—
343#13133177—21no—
344#13133177—21no—
345#13133177—21no—
346#13133177—21no—
347#13133177—21no—
348#13133176C2311yescharacteristic
349#13133175—21no—
350#13133175—21no—
351#13133175C2311yescharacteristic
352#13133175C2311yescharacteristic
353#13133175C2311yescharacteristic
354#13133175C2311yescharacteristic
355#13133174—21no—
356#13133174—21no—
357#13133174—21no—
358#13133174C2311yescharacteristic
359#13133173—21no—
360C2×C4⋊Dic53C2311yescharacteristic
361C2×C4⋊Dic53C2311yescharacteristic
362C2×C4⋊Dic53C2311yescharacteristic
363C2×#11719919—21no—
364C2×#11719919—21no—
365C2×#11719919—21no—
366C4⋊C4×D53—21no—
367C4⋊C4×D53—21no—
368C4⋊C4×D53—21no—
369C4⋊C4×D53—21no—
370C4⋊C4×D53—21no—
371C4⋊C4×D53C2311yescharacteristic
372C4⋊C4×D53C2311yescharacteristic
373C4⋊C4×D53C2311yescharacteristic
374C4⋊C4×D53C2311yescharacteristic
375C4⋊C4×D53C2311yescharacteristic
376C4⋊C4×D53C2311yescharacteristic
377C4⋊C4×D53C2311yescharacteristic
378C4⋊C4×D53C2311yescharacteristic
379C4⋊C4×D53C2311yescharacteristic
380C4⋊C4×D53C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133151C2311yescharacteristic
383#13133151C2311yescharacteristic
384#13133151C2311yescharacteristic
385#13133151C2311yescharacteristic
386#13133151C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133150C2311yescharacteristic
394#13133150C2311yescharacteristic
395#13133150C2311yescharacteristic
396#13133150C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133150C2311yescharacteristic
401#13133149C2311yescharacteristic
402#13133149C2311yescharacteristic
403#13133149C2311yescharacteristic
404#13133148C2311yescharacteristic
405#13133148C2311yescharacteristic
406#13133148C2311yescharacteristic
407#13133148C2311yescharacteristic
408C4⋊#88322C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133141C2311yescharacteristic
416#13133141C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429C22⋊#88322C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133127C2311yescharacteristic
436C4×#88322C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×M16×C53C2311yescharacteristic
440C22×C8×C53C2311yescharacteristic
441C4⋊Q8×C53C2311yescharacteristic
442#126×C53—21no—
443#125×C53—21no—
444#125×C53C2311yescharacteristic
445#123×C53—21no—
446C22⋊Q8×C53—21no—
447C22⋊Q8×C53—21no—
448C22⋊Q8×C53C2311yescharacteristic
449C22⋊Q8×C53C2311yescharacteristic
450#121×C53—21no—
451#121×C53C2311yescharacteristic
452#121×C53C2311yescharacteristic
453C4×Q8×C53C2311yescharacteristic
454C4×D4×C53—21no—
455C4×D4×C53—21no—
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458#117×C53C2311yescharacteristic
459C2×C4⋊C4×C53C2311yescharacteristic
460C2×C4⋊C4×C53C2311yescharacteristic
461C2×C4⋊C4×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470#106×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480#97×C53C2311yescharacteristic
481C23×D53C2×D411yescharacteristic
482C2×Q8×C53—21no—
483C2×Q8×C53C2411yescharacteristic
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53C2×D411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53C2411yescharacteristic
493C22×C4×C53C2411yescharacteristic
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53C2×D411yescharacteristic
500C2×C22⋊D53C2×D411yescharacteristic
501C2×C22⋊D53C2×D411yescharacteristic
502C2×C22⋊D53C2×D411yescharacteristic
503C22×Dic53—21no—
504C22×Dic53—21no—
505C22×Dic53—21no—
506C22×Dic53—21no—
507C22×Dic53—21no—
508C22×Dic53C2×D411yescharacteristic
509#11719949—22no—
510#11719949—22no—
511#11719949—82no—
512#11719947—22no—
513#11719947—22no—
514#11719947—82no—
515#11719945—22no—
516#11719945—22no—
517#11719945—82no—
518#11719945—82no—
519C2×D212—21no—
520C2×D212—21no—
521C2×D212—21no—
522C2×D212C2×D411yescharacteristic
523C2×D212C2×D411yescharacteristic
524C2×D212C2411yescharacteristic
525C2×C4×D53—22no—
526C2×C4×D53—22no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53—21no—
535C2×C4×D53—21no—
536C2×C4×D53—21no—
537C2×C4×D53—21no—
538C2×C4×D53—21no—
539C2×C4×D53—21no—
540C2×C4×D53—82no—
541C2×C4×D53—82no—
542C2×C4×D53C2×D411yescharacteristic
543C2×C4×D53C2×D411yescharacteristic
544C2×C4×D53C2411yescharacteristic
545C2×C4×D53C2411yescharacteristic
546C2×C4×D53C2411yescharacteristic
547C2×Dic106—21no—
548C2×Dic106—21no—
549C2×Dic106—21no—
550C2×Dic106C2×D411yescharacteristic
551C2×Dic106C2411yescharacteristic
552SD16×C53—22no—
553M16×C53—22no—
554C2×C8×C53—22no—
555C2×C8×C53C2411yescharacteristic
556C2×C8×C53C2411yescharacteristic
557C2×C8×C53C2411yescharacteristic
558C2×C8×C53C2411yescharacteristic
559C4⋊C4×C53—21no—
560C4⋊C4×C53—21no—
561C4⋊C4×C53—21no—
562C4⋊C4×C53—21no—
563C4⋊C4×C53—21no—
564C4⋊C4×C53—21no—
565C4⋊C4×C53—21no—
566C4⋊C4×C53—21no—
567C4⋊C4×C53—21no—
568C4⋊C4×C53C2×D411yescharacteristic
569C4⋊C4×C53C2411yescharacteristic
570C4⋊C4×C53C2411yescharacteristic
571C4⋊C4×C53C2411yescharacteristic
572C4⋊C4×C53C2411yescharacteristic
573C4⋊C4×C53C2411yescharacteristic
574C4⋊C4×C53C2411yescharacteristic
575C22⋊C4×C53—21no—
576C22⋊C4×C53—21no—
577C22⋊C4×C53—21no—
578C22⋊C4×C53—21no—
579C22⋊C4×C53—21no—
580C22⋊C4×C53—21no—
581C22⋊C4×C53C2×D411yescharacteristic
582C22⋊C4×C53C2×D411yescharacteristic
583C42×C53—21no—
584C42×C53—21no—
585C42×C53C2411yescharacteristic
586C22⋊Dic53—21no—
587C22⋊Dic53—21no—
588C22⋊Dic53—21no—
589C22⋊Dic53—21no—
590C22⋊Dic53—21no—
591C22⋊Dic53—21no—
592C22⋊Dic53C2×D411yescharacteristic
593C22⋊Dic53C2×D411yescharacteristic
594#11719925—22no—
595#11719922—22no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921C2×D411yescharacteristic
611#11719921C2×D411yescharacteristic
612#11719921C2×D411yescharacteristic
613#11719921C2×D411yescharacteristic
614#11719921C2×D411yescharacteristic
615#11719921C2×D411yescharacteristic
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53—21no—
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53—21no—
625C4⋊Dic53C2×D411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628C4⋊Dic53C2411yescharacteristic
629C4⋊Dic53C2411yescharacteristic
630C4⋊Dic53C2411yescharacteristic
631C4⋊Dic53C2411yescharacteristic
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919C2×D411yescharacteristic
655#11719919C2×D411yescharacteristic
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53C2411yescharacteristic
667C2×#88322—22no—
668C2×#88322—22no—
669C2×#88322C2411yescharacteristic
670C2×#88322C2411yescharacteristic
671C2×#88322C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673#11719913—22no—
674#11719912—22no—
675#11719912—22no—
676#11719912—22no—
677C8×D53—22no—
678C8×D53—22no—
679C8×D53—22no—
680C8×D53—22no—
681C8×D53#4114yescomplemented
682C23×C53—21no—
683C23×C53C22×D411yescharacteristic
684C23×C53C22×D411yescharacteristic
685C22×D53—22no—
686C22×D53—22no—
687C22×D53—22no—
688C22×D53—21no—
689C22×D53C22×D411yescharacteristic
690C22×D53C22×D411yescharacteristic
691C22×D53C22×D411yescharacteristic
692Q8×C53—21no—
693Q8×C53—21no—
694Q8×C53—81no—
695D4×C53—22no—
696D4×C53—21no—
697D4×C53—21no—
698D4×C53—42no—
699D4×C53—81no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—21no—
707C2×C4×C53—21no—
708C2×C4×C53—21no—
709C2×C4×C53—21no—
710C2×C4×C53—21no—
711C2×C4×C53—81no—
712C2×C4×C53—81no—
713C2×C4×C53—81no—
714C2×C4×C53—81no—
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C22×D411yescharacteristic
718C2×C4×C53C22×D411yescharacteristic
719C2×C4×C53C2511yescharacteristic
720C22⋊D53—22no—
721C22⋊D53—22no—
722C22⋊D53—22no—
723C22⋊D53—22no—
724C22⋊D53—42no—
725C22⋊D53—42no—
726C22⋊D53—42no—
727C22⋊D53—81no—
728C22⋊D53—81no—
729C2×Dic53—22no—
730C2×Dic53—21no—
731C2×Dic53—21no—
732C2×Dic53—21no—
733C2×Dic53—21no—
734C2×Dic53—21no—
735C2×Dic53—21no—
736C2×Dic53—21no—
737C2×Dic53—42no—
738C2×Dic53—81no—
739C2×Dic53—81no—
740C2×Dic53—81no—
741C2×Dic53—81no—
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745C2×Dic53C22×D411yescharacteristic
746C2×Dic53C22×D411yescharacteristic
747D212—22no—
748D212—22no—
749D212—21no—
750D212—21no—
751D212—42no—
752D212—42no—
753D212—81no—
754C4×D53—22no—
755C4×D53—21no—
756C4×D53—21no—
757C4×D53—21no—
758C4×D53—21no—
759C4×D53—22no—
760C4×D53—42no—
761C4×D53—42no—
762C4×D53—42no—
763C4×D53—42no—
764C4×D53—42no—
765C4×D53—81no—
766C4×D53—81no—
767C4×D53—81no—
768C4×D53—81no—
769C4×D53—81no—
770C4×D53—81no—
771C4×D53—81no—
772C4×D53—81no—
773C4×D53C2×#4112yes—
774C4×D532−1+412yes—
775Dic106—22no—
776Dic106—21no—
777Dic106—21no—
778Dic106—81no—
779Dic106—81no—
780Dic106—81no—
781C8×C53—21no—
782C8×C53—21no—
783C8×C53—21no—
784C8×C53C2×#4112yes—
785#88322—21no—
786#88322—21no—
787#88322—21no—
788#88322C2×#4112yes—
789#61258—531nomaximal, Sylow
790C22×C53—21no—
791C22×C53—21no—
792C22×C53—21no—
793C22×C53—21no—
794C22×C53—21no—
795C22×C53—41no—
796C22×C53—41no—
797C22×C53—41no—
798C22×C53#57812yes—
799C22×C53C23×D411yescharacteristic
800C2×D53—28no—
801C2×D53—21no—
802C2×D53—21no—
803C2×D53—21no—
804C2×D53—21no—
805C2×D53—21no—
806C2×D53—21no—
807C2×D53—21no—
808C2×D53—41no—
809C2×D53—41no—
810C2×D53—41no—
811C2×D53#54712yes—
812C2×D53#57612yes—
813C4×C53—21no—
814C4×C53—21no—
815C4×C53—21no—
816C4×C53—21no—
817C4×C53—41no—
818C4×C53—41no—
819C4×C53—41no—
820C4×C53—41no—
821C4×C53—41no—
822C4×C53—41no—
823C4×C53—41no—
824C4×C53C22×#4111yescharacteristic
825C4×C53C2×2−1+411yescharacteristic
826Dic53—21no—
827Dic53—21no—
828Dic53—21no—
829Dic53—21no—
830Dic53—41no—
831Dic53—41no—
832Dic53—41no—
833Dic53—41no—
834Dic53—41no—
835Dic53—41no—
836Dic53—41no—
837Dic53#54712yes—
838#3492—531no—
839#3492—531no—
840#3346—531no—
841#3346—531no—
842#3346—531no—
843#3346D5311yescharacteristic, complemented
844#3343—531no—
845#3343—531no—
846#3343—531no—
847#3343—531no—
848#3339—531no—
849#3339—531no—
850#3338—531no—
851#3338—531no—
852#3336—531no—
853#3336—531no—
854#3334—531no—
855#3334—531no—
856#3164—531no—
857#3098—531no—
858#3098—531no—
859#3092—531no—
860#3092—531no—
861#3083—531no—
862#3083—531no—
863#3061—531no—
864#3050—531no—
865#2951—531no—
866#2929—531no—
867#2913—531no—
868C22×#107—531no—
869C2×C53—22no—
870C2×C53—41no—
871C2×C53—81no—
872C2×C53C2×#54711yescharacteristic
873C2×C53C2×#57611yescharacteristic
874C2×C53C2×#57811yescharacteristic
875D53—22no—
876D53—22no—
877D53—41no—
878D53—81no—
879C2×#135—531no—
880C2×#131—531no—
881C23×C8—531no—
882#554—531no—
883#554—531no—
884#554—531no—
885#554—1061no—
886#554—1061no—
887#554C2×D5311yescharacteristic
888#553—531no—
889#553—531no—
890#553—531no—
891#553—1061no—
892#553—1061no—
893#553C2×D5311yescharacteristic
894#552—531no—
895#552—531no—
896#552—531no—
897#552—531no—
898#552—1061no—
899#552—1061no—
900#547—531no—
901#547—531no—
902#547—531no—
903#547—531no—
904#547—1061no—
905#547—1061no—
906#544—531no—
907#544—531no—
908#539—1061no—
909#539—1061no—
910#539—1061no—
911#539—1061no—
912#537—531no—
913#537—531no—
914#525—531no—
915#525—531no—
916#525—531no—
917#525—1061no—
918#525—1061no—
919#525—1061no—
920#525—1061no—
921#520—531no—
922#520—531no—
923#520—531no—
924#520—531no—
925C22×C4⋊C4—531no—
926C22×C4⋊C4—531no—
927#501—531no—
928#501—531no—
929#501—531no—
930#501C2×D5311yescharacteristic, complemented
931#500—531no—
932#500—531no—
933#499—531no—
934#499—531no—
935#485—531no—
936#485—531no—
937#485—531no—
938#485C2×D5311yescharacteristic, complemented
939#484—531no—
940#484—531no—
941#484—531no—
942#484—531no—
943#484—531no—
944#484—531no—
945#484—531no—
946#484C2×D5311yescharacteristic
947#483—531no—
948#483—531no—
949#483—531no—
950#483—531no—
951#482—531no—
952#482—531no—
953#482—531no—
954#482—531no—
955#481—531no—
956#481—531no—
957#481—531no—
958#481C2×D5311yescharacteristic
959#480—531no—
960#480—531no—
961#480—531no—
962#480—531no—
963#480—531no—
964#480—531no—
965#480—531no—
966#480C2×D5311yescharacteristic, complemented
967#479—531no—
968#479—531no—
969#479—531no—
970#479C2×D5311yescharacteristic, complemented
971#478—531no—
972#478—531no—
973#478—531no—
974#478—531no—
975#477—531no—
976#477—531no—
977#477—531no—
978#477—531no—
979#474—531no—
980#474—531no—
981#474—531no—
982#474C2×D5311yescharacteristic, complemented
983#468—531no—
984#468—531no—
985#468—531no—
986#468C2×D5311yescharacteristic, complemented
987#467—531no—
988#467—531no—
989#467—531no—
990#467—531no—
991#466—531no—
992#466—531no—
993#466—531no—
994#466—531no—
995#465—531no—
996#465—531no—
997#465—531no—
998#465C2×D5311yescharacteristic
999#440—531no—
1000#440—531no—
1001#440—531no—
1002#440C2×D5311yescharacteristic, complemented
1003C4×Q16—531no—
1004C4×Q16—531no—
1005C4×D8—531no—
1006C4×D8—531no—
1007#435—531no—
1008#435—531no—
1009#435—531no—
1010#435C2×D5311yescharacteristic
1011C8×D4—531no—
1012C8×D4—531no—
1013C8×D4—531no—
1014C8×D4—531no—
1015#428—531no—
1016#428—531no—
1017#428—531no—
1018#428—531no—
1019#428—531no—
1020#428—531no—
1021#428—531no—
1022#428C2×D5311yescharacteristic, complemented
1023#427—531no—
1024#427—531no—
1025#427—531no—
1026C2×#107—531no—
1027C2×#107—531no—
1028C2×#107—531no—
1029C2×#107—531no—
1030C2×#107—531no—
1031C2×#107—531no—
1032C2×#107—531no—
1033C2×#107—531no—
1034C2×#107—531no—
1035C2×#107—531no—
1036C2×#107—531no—
1037C2×#107—531no—
1038C2×#107—531no—
1039C2×#107C2×D5311yescharacteristic
1040#424—531no—
1041#417—531no—
1042#417—531no—
1043#417—531no—
1044#417—531no—
1045#416—531no—
1046#416—531no—
1047#408—531no—
1048#407—531no—
1049#405—531no—
1050C53#6125811yescharacteristic, complemented, Sylow
1051C2×#41—531no—
1052C2×#41—531no—
1053C2×#41—531no—
1054C2×#41—1061no—
1055C2×#41—1061no—
1056C2×#41—1061no—
1057C2×#41—1061no—
1058C23×C4—531no—
1059C23×C4—1061no—
1060C23×C4—1061no—
1061#135—1064no—
1062C2×Q16—531no—
1063C2×SD16—531no—
1064C2×SD16C22×D5311yescharacteristic
1065C2×D8—531no—
1066#131—1064no—
1067C2×M16—531no—
1068C2×M16—531no—
1069C2×M16—531no—
1070C2×M16C22×D5311yescharacteristic
1071C22×C8—531no—
1072C22×C8—531no—
1073C22×C8—531no—
1074C22×C8—531no—
1075C22×C8—531no—
1076C22×C8—531no—
1077C22×C8—531no—
1078C22×C8—1064no—
1079C22×C8C22×D5311yescharacteristic
1080C4⋊Q8—531no—
1081C4⋊Q8—531no—
1082C4⋊Q8—531no—
1083C4⋊Q8—1061no—
1084C4⋊Q8—1061no—
1085C4⋊Q8C22×D5311yescharacteristic
1086#126—21no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#126—1061no—
1093#126—1061no—
1094#125—21no—
1095#125—531no—
1096#125—531no—
1097#125—531no—
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#125C22×D5311yescharacteristic
1108#123—21no—
1109#123—531no—
1110#123—531no—
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—531no—
1137C22⋊Q8—531no—
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—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8C22×D5311yescharacteristic
1155C22⋊Q8C22×D5311yescharacteristic
1156#121—21no—
1157#121—531no—
1158#121—531no—
1159#121—531no—
1160#121—531no—
1161#121—531no—
1162#121—531no—
1163#121—531no—
1164#121—531no—
1165#121—1061no—
1166#121—1061no—
1167#121—1061no—
1168#121—1061no—
1169#121—1061no—
1170#121—1061no—
1171#121—1061no—
1172#121—1061no—
1173#121—1061no—
1174#121C22×D5311yescharacteristic
1175#121C22×D5311yescharacteristic
1176#120—531no—
1177#120—531no—
1178#120—1061no—
1179#120—1061no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—1061no—
1184C4×Q8—1061no—
1185C4×Q8C22×D5311yescharacteristic
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—531no—
1194C4×D4—1061no—
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×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4C22×D5311yescharacteristic
1215C4×D4C22×D5311yescharacteristic
1216#117—531no—
1217#117—531no—
1218#117—531no—
1219#117—531no—
1220#117—531no—
1221#117—531no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117—1061no—
1227#117—1061no—
1228#117C22×D5311yescharacteristic
1229C2×C4⋊C4—531no—
1230C2×C4⋊C4—531no—
1231C2×C4⋊C4—531no—
1232C2×C4⋊C4—531no—
1233C2×C4⋊C4—531no—
1234C2×C4⋊C4—531no—
1235C2×C4⋊C4—531no—
1236C2×C4⋊C4—531no—
1237C2×C4⋊C4—531no—
1238C2×C4⋊C4—531no—
1239C2×C4⋊C4—531no—
1240C2×C4⋊C4—531no—
1241C2×C4⋊C4—531no—
1242C2×C4⋊C4—1061no—
1243C2×C4⋊C4—1061no—
1244C2×C4⋊C4—1061no—
1245C2×C4⋊C4—1061no—
1246C2×C4⋊C4—1061no—
1247C2×C4⋊C4—1061no—
1248C2×C4⋊C4—1061no—
1249C2×C4⋊C4—1061no—
1250C2×C4⋊C4C22×D5311yescharacteristic
1251C2×C4⋊C4C22×D5311yescharacteristic
1252C2×C4⋊C4C22×D5311yescharacteristic
1253#107—531no—
1254#107—531no—
1255#107—531no—
1256#107—531no—
1257#107—531no—
1258#107—531no—
1259#107—531no—
1260#107—531no—
1261#107—531no—
1262#107—531no—
1263#107—531no—
1264#107—531no—
1265#107—531no—
1266#107—531no—
1267#107—531no—
1268#107—531no—
1269#107—531no—
1270#107—531no—
1271#107—531no—
1272#107—531no—
1273#107C22×D5311yescharacteristic
1274#107C22×D5311yescharacteristic
1275#107C22×D5311yescharacteristic
1276#107C22×D5311yescharacteristic
1277#107C22×D5311yescharacteristic
1278#107C22×D5311yescharacteristic
1279#106—531no—
1280#106—531no—
1281#106—531no—
1282#106—531no—
1283#106—531no—
1284#106—531no—
1285#106—531no—
1286#106C22×D5311yescharacteristic
1287#106C22×D5311yescharacteristic
1288#106C22×D5311yescharacteristic
1289C4⋊C8—531no—
1290C4⋊C8—531no—
1291C4⋊C8—531no—
1292C4⋊C8C22×D5311yescharacteristic
1293#103—531no—
1294#103—531no—
1295#103—531no—
1296#103—531no—
1297#103—531no—
1298#103—531no—
1299#103—531no—
1300#103—531no—
1301#103—531no—
1302#103C22×D5311yescharacteristic
1303#103C22×D5311yescharacteristic
1304#103C22×D5311yescharacteristic
1305#102—531no—
1306#102—531no—
1307#102—531no—
1308#102—531no—
1309#102—531no—
1310#102—531no—
1311#102—531no—
1312#102—531no—
1313#102—531no—
1314#102C22×D5311yescharacteristic
1315#102C22×D5311yescharacteristic
1316#102C22×D5311yescharacteristic
1317C22⋊C8—531no—
1318C22⋊C8—531no—
1319C22⋊C8—531no—
1320C22⋊C8—531no—
1321C22⋊C8—531no—
1322C22⋊C8—531no—
1323C22⋊C8C22×D5311yescharacteristic
1324C22⋊C8C22×D5311yescharacteristic
1325#97—531no—
1326#97C22×D5311yescharacteristic
1327C4×C8—531no—
1328C4×C8—531no—
1329C24—531no—
1330#41—1062no—
1331#41—1062no—
1332#41—1062no—
1333#41—1062no—
1334#41—1062no—
1335#41—1062no—
1336#41—4242no—
1337#41—4242no—
1338#41—4242no—
1339#41—4242no—
1340C2×Q8—21no—
1341C2×Q8—531no—
1342C2×Q8—531no—
1343C2×Q8—1061no—
1344C2×Q8—1061no—
1345C2×Q8—1061no—
1346C2×Q8C23×D5311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—531no—
1350C2×D4—531no—
1351C2×D4—531no—
1352C2×D4—531no—
1353C2×D4—531no—
1354C2×D4—531no—
1355C2×D4—531no—
1356C2×D4—1061no—
1357C2×D4—1061no—
1358C2×D4—1061no—
1359C2×D4—1061no—
1360C2×D4—1061no—
1361C2×D4—1061no—
1362C2×D4—1061no—
1363C2×D4—1061no—
1364C2×D4D4×D5311yescharacteristic
1365C2×D4C23×D5311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—531no—
1371C22×C4—531no—
1372C22×C4—531no—
1373C22×C4—531no—
1374C22×C4—531no—
1375C22×C4—531no—
1376C22×C4—1062no—
1377C22×C4—1062no—
1378C22×C4—1061no—
1379C22×C4—1061no—
1380C22×C4—1061no—
1381C22×C4—1061no—
1382C22×C4—1061no—
1383C22×C4—1061no—
1384C22×C4—1061no—
1385C22×C4—1061no—
1386C22×C4—1061no—
1387C22×C4—1061no—
1388C22×C4—1061no—
1389C22×C4—1061no—
1390C22×C4—1061no—
1391C22×C4—1061no—
1392C22×C4—1061no—
1393C22×C4—1061no—
1394C22×C4—1061no—
1395C22×C4—1061no—
1396C22×C4—4242no—
1397C22×C4—4242no—
1398C22×C4C23×D5311yescharacteristic
1399C22×C4C23×D5311yescharacteristic
1400Q16—1062no—
1401SD16—22no—
1402SD16—1062no—
1403D8—1062no—
1404M16—22no—
1405M16—1062no—
1406M16—1062no—
1407M16—1062no—
1408C2×C8—22no—
1409C2×C8—531no—
1410C2×C8—534no—
1411C2×C8—531no—
1412C2×C8—531no—
1413C2×C8—531no—
1414C2×C8—1062no—
1415C2×C8—1062no—
1416C2×C8—1062no—
1417C2×C8—1062no—
1418C2×C8—1062no—
1419C2×C8—1062no—
1420C2×C8C23×D5311yescharacteristic
1421C2×C8C23×D5311yescharacteristic
1422C2×C8C23×D5311yescharacteristic
1423C2×C8C23×D5311yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—531no—
1434C4⋊C4—531no—
1435C4⋊C4—531no—
1436C4⋊C4—531no—
1437C4⋊C4—531no—
1438C4⋊C4—531no—
1439C4⋊C4—531no—
1440C4⋊C4—531no—
1441C4⋊C4—531no—
1442C4⋊C4—531no—
1443C4⋊C4—531no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4—1061no—
1452C4⋊C4—1061no—
1453C4⋊C4—1061no—
1454C4⋊C4—1061no—
1455C4⋊C4—1061no—
1456C4⋊C4—1061no—
1457C4⋊C4—1061no—
1458C4⋊C4—1061no—
1459C4⋊C4—1061no—
1460C4⋊C4—1061no—
1461C4⋊C4—1061no—
1462C4⋊C4—1061no—
1463C4⋊C4—1061no—
1464C4⋊C4—1061no—
1465C4⋊C4—1061no—
1466C4⋊C4—1061no—
1467C4⋊C4—1061no—
1468C4⋊C4—1061no—
1469C4⋊C4—1061no—
1470C4⋊C4—1061no—
1471C4⋊C4—1061no—
1472C4⋊C4—1061no—
1473C4⋊C4—1061no—
1474C4⋊C4—1061no—
1475C4⋊C4D4×D5311yescharacteristic
1476C4⋊C4C23×D5311yescharacteristic
1477C4⋊C4C23×D5311yescharacteristic
1478C4⋊C4C23×D5311yescharacteristic
1479C4⋊C4C23×D5311yescharacteristic
1480C4⋊C4C23×D5311yescharacteristic
1481C4⋊C4C23×D5311yescharacteristic
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—531no—
1489C22⋊C4—531no—
1490C22⋊C4—531no—
1491C22⋊C4—531no—
1492C22⋊C4—531no—
1493C22⋊C4—531no—
1494C22⋊C4—531no—
1495C22⋊C4—531no—
1496C22⋊C4—1061no—
1497C22⋊C4—1061no—
1498C22⋊C4—1061no—
1499C22⋊C4—1061no—
1500C22⋊C4—1061no—
1501C22⋊C4—1061no—
1502C22⋊C4—1061no—
1503C22⋊C4—1061no—
1504C22⋊C4—1061no—
1505C22⋊C4—1061no—
1506C22⋊C4—1061no—
1507C22⋊C4—1061no—
1508C22⋊C4—1061no—
1509C22⋊C4—1061no—
1510C22⋊C4—1061no—
1511C22⋊C4—1061no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4—1061no—
1516C22⋊C4D4×D5311yescharacteristic
1517C22⋊C4D4×D5311yescharacteristic
1518C42—21no—
1519C42—21no—
1520C42—531no—
1521C42—1061no—
1522C42—1061no—
1523C42—1061no—
1524C42—1061no—
1525C42—1061no—
1526C42—1061no—
1527C42—1061no—
1528C42—1061no—
1529C42C23×D5311yescharacteristic
1530C23—21no—
1531C23—531no—
1532C23—531no—
1533C23—531no—
1534C23—1062no—
1535C23—1062no—
1536C23—1062no—
1537C23—1061no—
1538C23C2×D4×D5311yescharacteristic
1539C23C2×D4×D5311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—81no—
1543Q8—1062no—
1544Q8—1061no—
1545Q8—1061no—
1546Q8—4241no—
1547Q8—4241no—
1548Q8—4241no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—42no—
1553D4—81no—
1554D4—1062no—
1555D4—1062no—
1556D4—1062no—
1557D4—1062no—
1558D4—1062no—
1559D4—1062no—
1560D4—1061no—
1561D4—1061no—
1562D4—4241no—
1563D4—4241no—
1564D4—4241no—
1565D4—2122no—
1566D4—2122no—
1567D4—2122no—
1568D4—2122no—
1569D4—2122no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—531no—
1586C2×C4—532no—
1587C2×C4—532no—
1588C2×C4—531no—
1589C2×C4—531no—
1590C2×C4—531no—
1591C2×C4—531no—
1592C2×C4—1062no—
1593C2×C4—1062no—
1594C2×C4—1062no—
1595C2×C4—1061no—
1596C2×C4—1061no—
1597C2×C4—1061no—
1598C2×C4—1061no—
1599C2×C4—1061no—
1600C2×C4—1061no—
1601C2×C4—1061no—
1602C2×C4—1061no—
1603C2×C4—1061no—
1604C2×C4—1061no—
1605C2×C4—1061no—
1606C2×C4—4241no—
1607C2×C4—4241no—
1608C2×C4—4241no—
1609C2×C4—4241no—
1610C2×C4—4241no—
1611C2×C4—4241no—
1612C2×C4—4241no—
1613C2×C4—4241no—
1614C2×C4—4241no—
1615C2×C4—4241no—
1616C2×C4—4241no—
1617C2×C4—4241no—
1618C2×C4—2122no—
1619C2×C4—2122no—
1620C2×C4—2122no—
1621C2×C4—2122no—
1622C2×C4—2122no—
1623C2×C4—2122no—
1624C2×C4C2×D4×D5311yescharacteristic
1625C2×C4C2×D4×D5311yescharacteristic
1626C2×C4C2×D4×D5311yescharacteristic
1627C2×C4C2×D4×D5311yescharacteristic
1628C2×C4C24×D5311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—532no—
1633C8—1061no—
1634C8—1061no—
1635C8—1061no—
1636C8#41×D5312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—532no—
1646C22—532no—
1647C22—1068no—
1648C22—1061no—
1649C22—1061no—
1650C22—1061no—
1651C22—1061no—
1652C22—1061no—
1653C22—1061no—
1654C22—1061no—
1655C22—2121no—
1656C22—2121no—
1657C22—2121no—
1658C22#1681143912yes—
1659C22C22×D4×D5311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—532no—
1672C4—1061no—
1673C4—1061no—
1674C4—1061no—
1675C4—1061no—
1676C4—2121no—
1677C4—2121no—
1678C4—2121no—
1679C4—2121no—
1680C4—2121no—
1681C4—2121no—
1682C4—2121no—
1683C4C2×#41×D5311yescharacteristic
1684C42−1+4×D5311yescharacteristic
1685C2—22no—
1686C2—41no—
1687C2—81no—
1688C2—1062no—
1689C2—1062no—
1690C2—4241no—
1691C2—2121no—
1692C2#547×D5311yescharacteristic
1693C2#576×D5311yescharacteristic
1694C2C2×#1681143911yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3346C2
socleC22×C53C23×D4
hypercenter#3346D53
hypocenterC53#61258
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #20288423C2semidirect
2. #20288419C2semidirect
3. #20287206C2semidirect
4. #20287202C2semidirect
5. #20287196C2semidirect
6. #20287160C2semidirect
7. #20287156C2semidirect
8. #20287154C2semidirect
9. #20287150C2semidirect
10. #20287115C2semidirect
11. #20287111C2semidirect
12. #20287103C2semidirect
13. #20287102C2semidirect
14. #20287080C2semidirect
15. #20287076C2semidirect
16. #20287061C2semidirect
17. #20287057C2semidirect
18. #20285250C2semidirect
19. #20284696C2semidirect
20. #20284688C2semidirect
21. #20284642C2semidirect
22. #20284637C2semidirect
23. #20284569C2semidirect
24. #20284561C2semidirect
25. #20284383C2semidirect
26. #20284291C2semidirect
27. #20283587C2semidirect
28. #20283406C2semidirect
29. #20283314C2semidirect
30. C2×#107×D53C2semidirect
31. C53×#3346C2semidirect
78. #16811032C22semidirect
79. #16811031C22semidirect
80. #16811030C22semidirect
81. #16811027C22semidirect
82. #16811026C22semidirect
83. #16811023C22semidirect
84. #16811022C22semidirect
85. #16810966C22semidirect
86. #16810965C22semidirect
87. #16810963C22semidirect
88. #16810960C22semidirect
91. #16810958C22semidirect
92. #16810957C22semidirect
94. #16810956C22semidirect
99. #16810949C22semidirect
100. #16810947C22semidirect
101. #16810946C22semidirect
102. #16810944C22semidirect
108. #16810938C22semidirect
109. #16810937C22semidirect
112. #16810935C22semidirect
113. #16810932C22semidirect
114. #16810931C22semidirect
115. #16810929C22semidirect
116. #16810925C22semidirect
117. #16810923C22semidirect
118. #16810922C22semidirect
119. #16810920C22semidirect
120. #16810918C22semidirect
121. #16810917C22semidirect
122. #16810916C22semidirect
123. #16810915C22semidirect
124. #16810904C22semidirect
125. #16810902C22semidirect
126. #16810901C22semidirect
127. #16810870C22semidirect
128. #16810869C22semidirect
129. #16810866C22semidirect
131. #16810863C22semidirect
133. #16810862C22semidirect
135. #16810858C22semidirect
137. #16810857C22semidirect
141. #16810725C22semidirect
142. #16810724C22semidirect
143. #16810722C22semidirect
144. C4×#11719925C22semidirect
145. #16810715C22semidirect
146. C4×#11719922C22semidirect
147. #16810703C22semidirect
155. #16810665C22semidirect
158. #16810664C22semidirect
161. #16810662C22semidirect
162. #16810659C22semidirect
164. #16810658C22semidirect
168. C2×#13133150C22semidirect
177. #107×D53C22semidirect
190. C53×#501C22semidirect
191. C53×#485C22semidirect
194. C53×#480C22semidirect
195. C53×#479C22semidirect
196. C53×#474C22semidirect
197. C53×#468C22semidirect
199. C53×#440C22semidirect
201. C53×#428C22semidirect
681. C8×D53#41semidirect
843. #3346D53semidirect
930. #501C2×D53semidirect
938. #485C2×D53semidirect
966. #480C2×D53semidirect
970. #479C2×D53semidirect
982. #474C2×D53semidirect
986. #468C2×D53semidirect
1002. #440C2×D53semidirect
1022. #428C2×D53semidirect
1050. C53#61258semidirect

Maximal subgroups

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

subgroupindex
#202884232
#202884192
#202872062
#202872022
#202871962
#202871602
#202871562
#202871542
#202871502
#202871152
#202871112
#202871032
#202871022
#202870802
#202870762
#202870612
#202870572
#202852502
#202846962
#202846882
#202846422
#202846372
#202845692
#202845612
#202843832
#202842912
#202835872
#202834062
#202833142
C2×#107×D532
C53×#33462
#6125853