Finite Group Databasebeta

← #28255648

Subgroups — #28255648

Order 13568.

2098 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D53C211yesmaximal, characteristic, complemented
2#20288046C211yesmaximal, characteristic, complemented
3#20285829C211yesmaximal, characteristic, complemented
4#20285828C211yesmaximal, characteristic, complemented
5#20285826C211yesmaximal, characteristic, complemented
6#20285825C211yesmaximal, characteristic, complemented
7#20285821C211yesmaximal, characteristic, complemented
8#20285820C211yesmaximal, characteristic, complemented
9#20285818C211yesmaximal, characteristic, complemented
10#20285817C211yesmaximal, characteristic, complemented
11#20285814C211yesmaximal, characteristic, complemented
12#20285813C211yesmaximal, characteristic, complemented
13#20285812C211yesmaximal, characteristic, complemented
14#20285809C211yesmaximal, characteristic, complemented
15#20285806C211yesmaximal, characteristic, complemented
16#20285805C211yesmaximal, characteristic, complemented
17#20285804C211yesmaximal, characteristic, complemented
18#20285180C211yesmaximal, characteristic, complemented
19#20285176C211yesmaximal, characteristic, complemented
20#20285107C211yesmaximal, characteristic, complemented
21#20285105C211yesmaximal, characteristic, complemented
22#20284185C211yesmaximal, characteristic, complemented
23#20284182C211yesmaximal, characteristic, complemented
24#20284177C211yesmaximal, characteristic, complemented
25#20284174C211yesmaximal, characteristic, complemented
26#20283972C211yesmaximal, characteristic, complemented
27#20283970C211yesmaximal, characteristic, complemented
28#20283964C211yesmaximal, characteristic, complemented
29#20283962C211yesmaximal, characteristic, complemented
30#20283349C211yesmaximal, characteristic, complemented
31C53×#3224C211yesmaximal, characteristic, complemented
32C22×#11719947C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic
34C2×#13133249C2211yescharacteristic, complemented
35C2×#13133246C2211yescharacteristic, complemented
36C2×#13133246C2211yescharacteristic, complemented
37C2×#13133246C2211yescharacteristic, complemented
38C2×#13133244C2211yescharacteristic, complemented
39C2×#13133241C2211yescharacteristic, complemented
40C2×#13133241C2211yescharacteristic, complemented
41C2×#13133241C2211yescharacteristic, complemented
42#16811247C2211yescharacteristic, complemented
43#16811246C2211yescharacteristic, complemented
44#16811245C2211yescharacteristic, complemented
45#16811244C2211yescharacteristic, complemented
46#16811243—21no—
47#16811242C2211yescharacteristic, complemented
48#16811241—21no—
49#16811240C2211yescharacteristic, complemented
50#16811239—21no—
51#16811238C2211yescharacteristic, complemented
52#16811237—21no—
53#16811202—21no—
54#16811202—21no—
55#16811199C2211yescharacteristic, complemented
56#16811194C2211yescharacteristic, complemented
57#16811193C2211yescharacteristic, complemented
58#16811193C2211yescharacteristic, complemented
59#16811190C2211yescharacteristic, complemented
60#16811186C2211yescharacteristic, complemented
61#16811186C2211yescharacteristic, complemented
62#16811183—21no—
63#16811183—21no—
64#16811172C2211yescharacteristic
65#16811172C2211yescharacteristic
66#16811171C2211yescharacteristic
67#16811171C2211yescharacteristic
68C4⋊Q8×D53C2211yescharacteristic, complemented
69#126×D53—21no—
70#124×D53—21no—
71#124×D53C2211yescharacteristic, complemented
72#16811133—21no—
73#16811133—21no—
74#16811129—21no—
75#16811129—21no—
76#123×D53—21no—
77C22⋊Q8×D53—21no—
78C22⋊Q8×D53C2211yescharacteristic
79#121×D53C2211yescharacteristic
80C4×Q8×D53C2211yescharacteristic, complemented
81C4×D4×D53C2211yescharacteristic, complemented
82#117×D53C2211yescharacteristic
83#16811018C2211yescharacteristic, complemented
84#16811017C2211yescharacteristic, complemented
85#16811016C2211yescharacteristic, complemented
86#16811014C2211yescharacteristic, complemented
87#16811011C2211yescharacteristic, complemented
88#16811010C2211yescharacteristic, complemented
89#16811009C2211yescharacteristic, complemented
90#16811007C2211yescharacteristic, complemented
91#16811006C2211yescharacteristic, complemented
92#16811006C2211yescharacteristic, complemented
93#16811005C2211yescharacteristic, complemented
94#16811005C2211yescharacteristic, complemented
95#16811004C2211yescharacteristic, complemented
96#16811004C2211yescharacteristic, complemented
97#16810985C2211yescharacteristic, complemented
98#16810983C2211yescharacteristic, complemented
99#16810982C2211yescharacteristic, complemented
100#16810981C2211yescharacteristic, complemented
101#16810981C2211yescharacteristic, complemented
102#16810981C2211yescharacteristic, complemented
103#16810981C2211yescharacteristic, complemented
104#16810975C2211yescharacteristic, complemented
105#16810974C2211yescharacteristic, complemented
106#16810972C2211yescharacteristic, complemented
107#16810972C2211yescharacteristic, complemented
108#16810969C2211yescharacteristic, complemented
109#16810968C2211yescharacteristic, complemented
110#16810968C2211yescharacteristic, complemented
111#16810846C2211yescharacteristic, complemented
112#16810845C2211yescharacteristic, complemented
113#16810844C2211yescharacteristic, complemented
114#16810844C2211yescharacteristic, complemented
115#16810843C2211yescharacteristic, complemented
116#16810843C2211yescharacteristic, complemented
117#16810842C2211yescharacteristic, complemented
118#16810839C2211yescharacteristic, complemented
119#16810838C2211yescharacteristic, complemented
120#16810837C2211yescharacteristic, complemented
121#16810837C2211yescharacteristic, complemented
122#16810836C2211yescharacteristic, complemented
123#16810836C2211yescharacteristic, complemented
124#16810835C2211yescharacteristic, complemented
125#16810834C2211yescharacteristic, complemented
126#16810833C2211yescharacteristic, complemented
127#16810832C2211yescharacteristic, complemented
128#16810831C2211yescharacteristic, complemented
129#16810829C2211yescharacteristic, complemented
130#16810828C2211yescharacteristic, complemented
131#16810827C2211yescharacteristic, complemented
132#16810826C2211yescharacteristic, complemented
133#16810822C2211yescharacteristic, complemented
134#16810821C2211yescharacteristic, complemented
135#16810820C2211yescharacteristic, complemented
136#16810817C2211yescharacteristic, complemented
137#16810816C2211yescharacteristic, complemented
138#16810815C2211yescharacteristic, complemented
139#16810787C2211yescharacteristic, complemented
140#16810786C2211yescharacteristic, complemented
141#16810786C2211yescharacteristic, complemented
142#16810785C2211yescharacteristic, complemented
143#16810783C2211yescharacteristic, complemented
144#16810782C2211yescharacteristic, complemented
145#16810782C2211yescharacteristic, complemented
146#16810781C2211yescharacteristic, complemented
147#16810780C2211yescharacteristic, complemented
148#16810778C2211yescharacteristic, complemented
149#16810777C2211yescharacteristic, complemented
150#16810775C2211yescharacteristic, complemented
151#16810774C2211yescharacteristic, complemented
152#16810772C2211yescharacteristic, complemented
153#16810770C2211yescharacteristic
154#16810769C2211yescharacteristic
155#16810769C2211yescharacteristic
156#16810768C2211yescharacteristic
157#16810766C2211yescharacteristic
158#16810765C2211yescharacteristic
159#16810765C2211yescharacteristic
160#16810764C2211yescharacteristic, complemented
161#16810763C2211yescharacteristic, complemented
162#16810761C2211yescharacteristic, complemented
163#16810760C2211yescharacteristic, complemented
164#16810758C2211yescharacteristic, complemented
165#16810757C2211yescharacteristic, complemented
166#16810755C2211yescharacteristic, complemented
167#16810685C2211yescharacteristic, complemented
168#16810684C2211yescharacteristic, complemented
169#16810683C2211yescharacteristic, complemented
170#16810683C2211yescharacteristic, complemented
171#16810682C2211yescharacteristic, complemented
172#16810681C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810645C2211yescharacteristic, complemented
175#16810645C2211yescharacteristic, complemented
176#16810623C2211yescharacteristic, complemented
177#16810623C2211yescharacteristic, complemented
178#16810621C2211yescharacteristic, complemented
179#16810621C2211yescharacteristic, complemented
180#16810621C2211yescharacteristic, complemented
181#16810621C2211yescharacteristic, complemented
182#16810621C2211yescharacteristic, complemented
183#16810621C2211yescharacteristic, complemented
184#16810585C2211yescharacteristic
185#16810585C2211yescharacteristic
186#16810575C2211yescharacteristic, complemented
187C4×#11719912C2211yescharacteristic, complemented
188C53×#542C2211yescharacteristic, complemented
189C53×#535C2211yescharacteristic, complemented
190C53×#496C2211yescharacteristic, complemented
191C53×#495C2211yescharacteristic, complemented
192C53×#489C2211yescharacteristic, complemented
193C53×#486C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#460C2211yescharacteristic, complemented
197C53×#459C2211yescharacteristic, complemented
198C53×#452C2211yescharacteristic, complemented
199C53×#450C2211yescharacteristic, complemented
200C53×#449C2211yescharacteristic
201C53×#447C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719947—21no—
207C2×#11719947—21no—
208C2×#11719947—21no—
209C2×#11719947—42no—
210C2×#11719947—42no—
211C2×#11719947C2311yescharacteristic
212C2×#11719947C2311yescharacteristic
213C2×#11719947C2311yescharacteristic
214C2×#11719947C2311yescharacteristic
215C2×#11719947C2311yescharacteristic
216#41×D53—42no—
217#41×D53—42no—
218C22×Dic106C2311yescharacteristic
219C2×Q8×D53—21no—
220C2×Q8×D53C2311yescharacteristic
221C2×Q8×D53C2311yescharacteristic
222C22×C22⋊D53—21no—
223C2×D4×D53—21no—
224C2×D4×D53—21no—
225C2×D4×D53C2311yescharacteristic
226C2×D4×D53C2311yescharacteristic
227C23×Dic53—21no—
228C22×C4×D53—21no—
229C22×C4×D53—21no—
230C22×C4×D53C2311yescharacteristic
231#13133249—42no—
232#13133246—42no—
233#13133246—42no—
234#13133246—42no—
235#13133244—42no—
236#13133241—42no—
237#13133241—42no—
238#13133241—42no—
239C2×Dic212C2311yescharacteristic
240C2×Dic212C2311yescharacteristic
241C2×Dic212C2311yescharacteristic
242C2×#11719925C2311yescharacteristic
243C2×#11719925C2311yescharacteristic
244C2×#11719925C2311yescharacteristic
245C2×#11719925C2311yescharacteristic
246C2×#11719913C2311yescharacteristic
247C2×#11719913C2311yescharacteristic
248C2×#11719913C2311yescharacteristic
249C2×#11719913C2311yescharacteristic
250C2×#11719923C2311yescharacteristic
251C2×#11719923C2311yescharacteristic
252C2×#11719923C2311yescharacteristic
253C2×#11719923C2311yescharacteristic
254C2×#11719923C2311yescharacteristic
255C2×#11719923C2311yescharacteristic
256C2×#11719924C2311yescharacteristic
257C2×#11719924C2311yescharacteristic
258C2×D424C2311yescharacteristic
259C2×#11719922C2311yescharacteristic
260C2×#11719922C2311yescharacteristic
261C2×#11719922C2311yescharacteristic
262C2×#11719922C2311yescharacteristic
263C2×#11719912C2311yescharacteristic
264C2×#11719912C2311yescharacteristic
265C2×#11719912C2311yescharacteristic
266C2×#11719912C2311yescharacteristic
267#13133217C2311yescharacteristic
268#13133217C2311yescharacteristic
269#13133217C2311yescharacteristic
270#13133216—21no—
271#13133216C2311yescharacteristic
272#13133216C2311yescharacteristic
273#13133215—21no—
274#13133215C2311yescharacteristic
275#13133215C2311yescharacteristic
276#13133213C2311yescharacteristic
277#13133213C2311yescharacteristic
278#13133212—21no—
279#13133212—21no—
280#13133212—21no—
281#13133211—21no—
282#13133210—21no—
283#13133210—21no—
284#13133210—21no—
285#13133206—21no—
286#13133206C2311yescharacteristic
287#13133205—21no—
288#13133205C2311yescharacteristic
289#13133205C2311yescharacteristic
290#13133205C2311yescharacteristic
291#13133204—21no—
292#13133204C2311yescharacteristic
293#13133204C2311yescharacteristic
294#13133204C2311yescharacteristic
295#13133204C2311yescharacteristic
296#13133204C2311yescharacteristic
297#13133203—21no—
298#13133203—21no—
299#13133203—21no—
300#13133203—21no—
301#13133203—21no—
302#13133203—21no—
303#13133202—21no—
304#13133202—21no—
305#13133201—21no—
306#13133201—21no—
307#13133201—21no—
308#13133200—21no—
309#13133199—21no—
310#13133199—21no—
311#13133199—21no—
312#13133199—21no—
313#13133199—21no—
314#13133199—21no—
315#13133198—21no—
316#13133198—21no—
317#13133198—21no—
318#13133197—21no—
319#13133197—21no—
320#13133197—21no—
321#13133197C2311yescharacteristic
322#13133196—21no—
323#13133196—21no—
324#13133196—21no—
325#13133196C2311yescharacteristic
326#13133195—21no—
327#13133195—21no—
328#13133195—21no—
329#13133194—21no—
330#13133194—21no—
331#13133194—21no—
332#13133194—21no—
333#13133194—21no—
334#13133194—21no—
335#13133194—21no—
336#13133193—21no—
337#13133193C2311yescharacteristic
338#13133192C2311yescharacteristic
339#13133191C2311yescharacteristic
340#13133190—21no—
341#13133190—21no—
342#13133190—21no—
343#13133190—21no—
344#13133190—21no—
345#13133189—21no—
346#13133189—21no—
347#13133189—21no—
348#13133189—21no—
349#13133189—21no—
350#13133188—21no—
351#13133188—21no—
352#13133188—21no—
353#13133188—21no—
354#13133188—21no—
355#13133188—21no—
356#13133188C2311yescharacteristic
357#13133186—21no—
358#13133186—21no—
359#13133185—21no—
360#13133185—21no—
361#13133185—21no—
362#13133185—21no—
363Q8×Dic53C2311yescharacteristic
364C4×Dic106—21no—
365C4×Dic106C2311yescharacteristic
366#13133182—21no—
367#13133182C2311yescharacteristic
368C4×D212C2311yescharacteristic
369D4×Dic53—21no—
370D4×Dic53—21no—
371D4×Dic53—21no—
372D4×Dic53—21no—
373D4×Dic53C2311yescharacteristic
374#13133179C2311yescharacteristic
375C4×C22⋊D53—21no—
376#13133177—21no—
377#13133177—21no—
378#13133177—21no—
379#13133177—21no—
380#13133177—21no—
381#13133176C2311yescharacteristic
382#13133175D411yescharacteristic
383#13133175D411yescharacteristic
384#13133174C2311yescharacteristic
385#13133174C2311yescharacteristic
386#13133173D411yescharacteristic
387#13133173D411yescharacteristic
388C4⋊C4×D53—21no—
389C4⋊C4×D53—21no—
390C4⋊C4×D53—21no—
391C4⋊C4×D53D411yescharacteristic
392C4⋊C4×D53D411yescharacteristic
393C4⋊C4×D53C2311yescharacteristic
394C4⋊C4×D53C2311yescharacteristic
395C22⋊C4×D53—21no—
396C22⋊C4×D53—21no—
397C22⋊C4×D53—21no—
398C22⋊C4×D53—21no—
399C22⋊C4×D53—21no—
400C22⋊C4×D53D411yescharacteristic
401C22⋊C4×D53D411yescharacteristic
402C42×D53—21no—
403C42×D53C2311yescharacteristic
404C42×D53C2311yescharacteristic
405C4⋊#88322C2311yescharacteristic
406C4⋊#88322C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133142C2311yescharacteristic
415#13133142C2311yescharacteristic
416#13133142C2311yescharacteristic
417#13133141C2311yescharacteristic
418#13133141C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133140C2311yescharacteristic
422#13133140C2311yescharacteristic
423#13133140C2311yescharacteristic
424#13133140C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133139C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133138C2311yescharacteristic
430#13133138C2311yescharacteristic
431#13133138C2311yescharacteristic
432#13133138C2311yescharacteristic
433#13133137C2311yescharacteristic
434#13133137C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133128C2311yescharacteristic
442#13133127C2311yescharacteristic
443#13133127C2311yescharacteristic
444C4×#88322C2311yescharacteristic
445C8×Dic53C2311yescharacteristic
446C8×Dic53C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C22×D4×C53C2311yescharacteristic
449C2×Q16×C53C2311yescharacteristic
450C2×SD16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×SD16×C53C2311yescharacteristic
454C2×D8×C53C2311yescharacteristic
455C2×D8×C53C2311yescharacteristic
456C2×D8×C53C2311yescharacteristic
457C4⋊Q8×C53C2311yescharacteristic
458#127×C53C2311yescharacteristic
459#127×C53C2311yescharacteristic
460#126×C53—21no—
461#124×C53—21no—
462#124×C53C2311yescharacteristic
463#124×C53C2311yescharacteristic
464#124×C53C2311yescharacteristic
465#123×C53—21no—
466C22⋊Q8×C53—21no—
467C22⋊Q8×C53C2311yescharacteristic
468#121×C53—21no—
469#121×C53—21no—
470#121×C53C2311yescharacteristic
471#120×C53—21no—
472#120×C53—21no—
473C4×Q8×C53C2311yescharacteristic
474C4×D4×C53C2311yescharacteristic
475#117×C53C2311yescharacteristic
476C4⋊C8×C53C2311yescharacteristic
477C4⋊C8×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488#97×C53C2311yescharacteristic
489C4×C8×C53C2311yescharacteristic
490C24×C53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53C2×D411yescharacteristic
494#41×C53—41no—
495#41×C53—41no—
496C2×Q8×C53—21no—
497C2×Q8×C53C2411yescharacteristic
498C2×Q8×C53C2411yescharacteristic
499C2×D4×C53—21no—
500C2×D4×C53—21no—
501C2×D4×C53—21no—
502C2×D4×C53—21no—
503C2×D4×C53—21no—
504C2×D4×C53—21no—
505C2×D4×C53—21no—
506C2×D4×C53—41no—
507C2×D4×C53—41no—
508C2×D4×C53C2411yescharacteristic
509C2×D4×C53C2411yescharacteristic
510C2×D4×C53C2411yescharacteristic
511C2×D4×C53C2411yescharacteristic
512C22×C4×C53—21no—
513C22×C4×C53—21no—
514C22×C4×C53C2411yescharacteristic
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—21no—
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—21no—
529C2×C22⋊D53—44no—
530C22×Dic53—21no—
531C22×Dic53—21no—
532C22×Dic53—21no—
533C22×Dic53—21no—
534C22×Dic53—21no—
535C22×Dic53—21no—
536C22×Dic53—21no—
537C22×Dic53—44no—
538C22×Dic53C2×D411yescharacteristic
539#11719949—22no—
540#11719949—22no—
541Q8×D53—22no—
542Q8×D53—22no—
543Q8×D53—41no—
544Q8×D53—41no—
545Q8×D53—82no—
546#11719947—22no—
547#11719947—22no—
548#11719947—22no—
549#11719947—22no—
550#11719947—22no—
551#11719947—22no—
552#11719947—41no—
553#11719947—41no—
554#11719947—41no—
555#11719947—41no—
556#11719947—44no—
557#11719947—44no—
558#11719947—44no—
559D4×D53—22no—
560D4×D53—22no—
561D4×D53—41no—
562D4×D53—41no—
563D4×D53—44no—
564D4×D53—82no—
565#11719945—41no—
566#11719945—41no—
567#11719945—44no—
568C2×D212—21no—
569C2×D212—21no—
570C2×D212C2411yescharacteristic
571C2×D212C2411yescharacteristic
572C2×C4×D53—22no—
573C2×C4×D53—22no—
574C2×C4×D53—21no—
575C2×C4×D53—21no—
576C2×C4×D53—21no—
577C2×C4×D53—21no—
578C2×C4×D53—21no—
579C2×C4×D53—21no—
580C2×C4×D53—21no—
581C2×C4×D53—21no—
582C2×C4×D53—44no—
583C2×C4×D53—82no—
584C2×C4×D53C2×D411yescharacteristic
585C2×C4×D53C2×D411yescharacteristic
586C2×C4×D53C2×D411yescharacteristic
587C2×C4×D53C2×D411yescharacteristic
588C2×C4×D53C2×D411yescharacteristic
589C2×C4×D53C2×D411yescharacteristic
590C2×C4×D53C2411yescharacteristic
591C2×C4×D53C2411yescharacteristic
592C2×Dic106—21no—
593C2×Dic106—21no—
594C2×Dic106—21no—
595C2×Dic106—21no—
596C2×Dic106—21no—
597C2×Dic106—21no—
598C2×Dic106—41no—
599C2×Dic106—41no—
600C2×Dic106C2411yescharacteristic
601C2×Dic106C2411yescharacteristic
602C2×Dic106C2411yescharacteristic
603C2×Dic106C2411yescharacteristic
604Q16×C53—41no—
605SD16×C53—41no—
606SD16×C53—41no—
607SD16×C53—41no—
608SD16×C53—41no—
609D8×C53—41no—
610D8×C53—41no—
611D8×C53—41no—
612C2×C8×C53C2411yescharacteristic
613C2×C8×C53C2411yescharacteristic
614C2×C8×C53C2411yescharacteristic
615C2×C8×C53C2411yescharacteristic
616C4⋊C4×C53—21no—
617C4⋊C4×C53—21no—
618C4⋊C4×C53—21no—
619C4⋊C4×C53C2×D411yescharacteristic
620C4⋊C4×C53C2×D411yescharacteristic
621C4⋊C4×C53C2411yescharacteristic
622C4⋊C4×C53C2411yescharacteristic
623C22⋊C4×C53—21no—
624C22⋊C4×C53—21no—
625C22⋊C4×C53—21no—
626C22⋊C4×C53—21no—
627C22⋊C4×C53—21no—
628C22⋊C4×C53—21no—
629C22⋊C4×C53—21no—
630C22⋊C4×C53—21no—
631C22⋊C4×C53—21no—
632C22⋊C4×C53C2×D411yescharacteristic
633C22⋊C4×C53C2×D411yescharacteristic
634C42×C53—21no—
635C42×C53C2411yescharacteristic
636C42×C53C2411yescharacteristic
637C22⋊Dic53—21no—
638C22⋊Dic53—21no—
639C22⋊Dic53—21no—
640C22⋊Dic53—21no—
641C22⋊Dic53—21no—
642C22⋊Dic53—21no—
643C22⋊Dic53—21no—
644C22⋊Dic53—21no—
645C22⋊Dic53—21no—
646C22⋊Dic53—21no—
647C22⋊Dic53—21no—
648C22⋊Dic53—21no—
649C22⋊Dic53—21no—
650C22⋊Dic53C2×D411yescharacteristic
651C22⋊Dic53C2×D411yescharacteristic
652#11719925—41no—
653#11719925—41no—
654#11719925—41no—
655#11719925—41no—
656#11719924—41no—
657#11719924—41no—
658#11719923—41no—
659#11719923—41no—
660#11719923—41no—
661#11719923—41no—
662#11719923—41no—
663#11719923—41no—
664#11719922—41no—
665#11719922—41no—
666#11719922—41no—
667#11719922—41no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
672#11719921—21no—
673#11719921—21no—
674#11719921—21no—
675#11719921—21no—
676#11719921—21no—
677#11719921—21no—
678#11719921—21no—
679#11719921—21no—
680#11719921—21no—
681#11719921—21no—
682#11719921C2×D411yescharacteristic
683#11719921C2×D411yescharacteristic
684#11719921C2×D411yescharacteristic
685#11719921C2×D411yescharacteristic
686C4⋊Dic53—21no—
687C4⋊Dic53—21no—
688C4⋊Dic53—21no—
689C4⋊Dic53—21no—
690C4⋊Dic53—21no—
691C4⋊Dic53—21no—
692C4⋊Dic53—21no—
693C4⋊Dic53C2×D411yescharacteristic
694C4⋊Dic53C2×D411yescharacteristic
695C4⋊Dic53C2411yescharacteristic
696C4⋊Dic53C2411yescharacteristic
697#11719919—21no—
698#11719919—21no—
699#11719919—21no—
700#11719919—21no—
701#11719919—21no—
702#11719919—21no—
703#11719919—21no—
704#11719919—21no—
705#11719919—21no—
706#11719919—21no—
707#11719919—21no—
708#11719919—21no—
709#11719919C2×D411yescharacteristic
710#11719919C2×D411yescharacteristic
711#11719919C2×D411yescharacteristic
712#11719919C2×D411yescharacteristic
713C4×Dic53—21no—
714C4×Dic53—21no—
715C4×Dic53—21no—
716C4×Dic53C2×D411yescharacteristic
717C4×Dic53C2×D411yescharacteristic
718C4×Dic53C2×D411yescharacteristic
719C4×Dic53C2×D411yescharacteristic
720C4×Dic53C2411yescharacteristic
721C4×Dic53C2411yescharacteristic
722C2×#88322C2411yescharacteristic
723C2×#88322C2411yescharacteristic
724C2×#88322C2411yescharacteristic
725C2×#88322C2411yescharacteristic
726Dic212—41no—
727Dic212—41no—
728Dic212—41no—
729D424—41no—
730#11719913—41no—
731#11719913—41no—
732#11719913—41no—
733#11719913—41no—
734#11719912—22no—
735#11719912—22no—
736#11719912—22no—
737#11719912—22no—
738C23×C53—21no—
739C23×C53—21no—
740C23×C53—21no—
741C23×C53—21no—
742C23×C53—42no—
743C23×C53—81no—
744C23×C53—81no—
745C23×C53C22×D411yescharacteristic
746C22×D53—22no—
747C22×D53—21no—
748C22×D53—21no—
749C22×D53—41no—
750C22×D53—41no—
751C22×D53—42no—
752C22×D53—42no—
753C22×D53—42no—
754C22×D53—42no—
755C22×D53—81no—
756C22×D53—81no—
757C22×D53C22×D411yescharacteristic
758C22×D53C22×D411yescharacteristic
759Q8×C53—21no—
760Q8×C53—21no—
761Q8×C53—21no—
762Q8×C53—21no—
763Q8×C53—81no—
764D4×C53—21no—
765D4×C53—21no—
766D4×C53—21no—
767D4×C53—21no—
768D4×C53—21no—
769D4×C53—21no—
770D4×C53—21no—
771D4×C53—21no—
772D4×C53—42no—
773D4×C53—42no—
774D4×C53—81no—
775D4×C53—81no—
776D4×C53—81no—
777D4×C53—81no—
778D4×C53—81no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—21no—
782C2×C4×C53—21no—
783C2×C4×C53—21no—
784C2×C4×C53—21no—
785C2×C4×C53—42no—
786C2×C4×C53—81no—
787C2×C4×C53C22×D411yescharacteristic
788C2×C4×C53C22×D411yescharacteristic
789C2×C4×C53C22×D411yescharacteristic
790C2×C4×C53C22×D411yescharacteristic
791C2×C4×C53C22×D411yescharacteristic
792C2×C4×C53C2511yescharacteristic
793C22⋊D53—42no—
794C22⋊D53—42no—
795C22⋊D53—42no—
796C22⋊D53—42no—
797C22⋊D53—42no—
798C22⋊D53—42no—
799C22⋊D53—42no—
800C22⋊D53—42no—
801C22⋊D53—81no—
802C22⋊D53—81no—
803C22⋊D53—81no—
804C22⋊D53—81no—
805C22⋊D53—81no—
806C22⋊D53—81no—
807C2×Dic53—22no—
808C2×Dic53—21no—
809C2×Dic53—21no—
810C2×Dic53—21no—
811C2×Dic53—21no—
812C2×Dic53—21no—
813C2×Dic53—21no—
814C2×Dic53—42no—
815C2×Dic53—42no—
816C2×Dic53—42no—
817C2×Dic53—42no—
818C2×Dic53—42no—
819C2×Dic53—42no—
820C2×Dic53—81no—
821C2×Dic53C22×D411yescharacteristic
822C2×Dic53C22×D411yescharacteristic
823C2×Dic53C22×D411yescharacteristic
824C2×Dic53C22×D411yescharacteristic
825C2×Dic53C22×D411yescharacteristic
826C2×Dic53C22×D411yescharacteristic
827D212—21no—
828D212—21no—
829D212—21no—
830D212—21no—
831D212—42no—
832D212—81no—
833C4×D53—22no—
834C4×D53—21no—
835C4×D53—21no—
836C4×D53—22no—
837C4×D53—41no—
838C4×D53—41no—
839C4×D53—41no—
840C4×D53—41no—
841C4×D53—42no—
842C4×D53—42no—
843C4×D53—42no—
844C4×D53—42no—
845C4×D53—42no—
846C4×D53—42no—
847C4×D53—81no—
848C4×D53—81no—
849C4×D53H(5,𝔽2)12yes—
850C4×D53H(5,𝔽2)12yes—
851Dic106—21no—
852Dic106—21no—
853Dic106—21no—
854Dic106—21no—
855Dic106—21no—
856Dic106—21no—
857Dic106—21no—
858Dic106—21no—
859Dic106—42no—
860Dic106—42no—
861Dic106—42no—
862Dic106—81no—
863Dic106—81no—
864Dic106—81no—
865C8×C53—21no—
866C8×C53—21no—
867C8×C53—21no—
868C8×C53—21no—
869#88322—21no—
870#88322—21no—
871#88322—21no—
872#88322—21no—
873#60810—531nomaximal, Sylow
874C22×C53—21no—
875C22×C53—21no—
876C22×C53—21no—
877C22×C53—41no—
878C22×C53—41no—
879C22×C53—41no—
880C22×C53—41no—
881C22×C53—41no—
882C22×C53—41no—
883C22×C53—41no—
884C22×C53—41no—
885C22×C53—41no—
886C22×C53—41no—
887C22×C53—41no—
888C22×C53—41no—
889C22×C53—84no—
890C22×C53C23×D411yescharacteristic
891C2×D53—21no—
892C2×D53—21no—
893C2×D53—21no—
894C2×D53—21no—
895C2×D53—21no—
896C2×D53—41no—
897C2×D53—41no—
898C2×D53—41no—
899C2×D53—41no—
900C2×D53—41no—
901C2×D53—41no—
902C2×D53—82no—
903C2×D53—84no—
904C2×D53—84no—
905C2×D53#53512yes—
906C4×C53—21no—
907C4×C53—21no—
908C4×C53—21no—
909C4×C53—21no—
910C4×C53—21no—
911C4×C53—41no—
912C4×C53—41no—
913C4×C53—41no—
914C4×C53—41no—
915C4×C53C2×H(5,𝔽2)11yescharacteristic
916C4×C53C2×H(5,𝔽2)11yescharacteristic
917Dic53—21no—
918Dic53—21no—
919Dic53—21no—
920Dic53—21no—
921Dic53—21no—
922Dic53—41no—
923Dic53—41no—
924Dic53—41no—
925Dic53—41no—
926Dic53—41no—
927Dic53—41no—
928Dic53#53512yes—
929C2×#542—531no—
930#3449—531no—
931#3225—531no—
932#3225—531no—
933#3225—531no—
934#3225—531no—
935#3225—531no—
936#3225—531no—
937#3225—531no—
938#3225—531no—
939#3224—531no—
940#3224—531no—
941#3224—531no—
942#3224—531no—
943#3224—531no—
944#3224—531no—
945#3224—531no—
946#3224D5311yescharacteristic, complemented
947#3153—531no—
948#3153—531no—
949#3141—531no—
950#3141—531no—
951#3037—531no—
952#3037—531no—
953#3036—531no—
954#3036—531no—
955#3007—531no—
956#3007—531no—
957#3006—531no—
958#3006—531no—
959#2921—531no—
960C2×C53—41no—
961C2×C53—81no—
962C2×C53—81no—
963C2×C53—81no—
964C2×C53—81no—
965C2×C53C2×#53511yescharacteristic
966C2×C53#358511yescharacteristic
967C2×C53#358611yescharacteristic
968D53—22no—
969D53—41no—
970D53—81no—
971D53—81no—
972C22×#41—531no—
973C22×#41—531no—
974C2×#137—531no—
975C2×#137—531no—
976C2×#137—531no—
977C2×#137—531no—
978C2×AGL(1,ℤ/8)—531no—
979C2×AGL(1,ℤ/8)—531no—
980C2×AGL(1,ℤ/8)—531no—
981C2×AGL(1,ℤ/8)—531no—
982#542—531no—
983#542—531no—
984#542—531no—
985#542—531no—
986#542—531no—
987#542—531no—
988#542—531no—
989#542—1061no—
990#542—1061no—
991#542—1061no—
992#542—1061no—
993#542C2×D5311yescharacteristic, complemented
994#537—1061no—
995#537—1061no—
996#536—531no—
997#536—531no—
998#536—531no—
999#536—531no—
1000#535—531no—
1001#535—531no—
1002#535—531no—
1003#535C2×D5311yescharacteristic, complemented
1004#534—1061no—
1005#534—1061no—
1006#532—531no—
1007#532—531no—
1008#532—531no—
1009#532—531no—
1010C2×C4⋊Q8—531no—
1011C2×#126—1061no—
1012C2×#124—531no—
1013C2×#124—1061no—
1014#525—1061no—
1015#525—1061no—
1016#525—1061no—
1017#525—1061no—
1018C2×#123—1061no—
1019C2×C22⋊Q8—531no—
1020C2×C22⋊Q8—1061no—
1021C2×#121—531no—
1022C2×C4×Q8—531no—
1023C2×C4×D4—531no—
1024C2×#117—531no—
1025#497—531no—
1026#497—531no—
1027#497—531no—
1028#497—531no—
1029#496—531no—
1030#496—531no—
1031#496—531no—
1032#496C2×D5311yescharacteristic, complemented
1033#495—531no—
1034#495—531no—
1035#495—531no—
1036#495—531no—
1037#495—531no—
1038#495—531no—
1039#495—531no—
1040#495C2×D5311yescharacteristic, complemented
1041#489—531no—
1042#489—531no—
1043#489—531no—
1044#489—531no—
1045#489—531no—
1046#489—531no—
1047#489—531no—
1048#489C2×D5311yescharacteristic, complemented
1049#487—531no—
1050#487—531no—
1051#487—531no—
1052#487—531no—
1053#486—531no—
1054#486—531no—
1055#486—531no—
1056#486C2×D5311yescharacteristic, complemented
1057#464—531no—
1058#464—531no—
1059#464—531no—
1060#464—531no—
1061#464—531no—
1062#464—531no—
1063#464—531no—
1064#464C2×D5311yescharacteristic, complemented
1065#463—531no—
1066#463—531no—
1067#463—531no—
1068#463—531no—
1069#463—531no—
1070#463—531no—
1071#463—531no—
1072#463C2×D5311yescharacteristic, complemented
1073#462—531no—
1074#462—531no—
1075#462—531no—
1076#462—531no—
1077#461—531no—
1078#461—531no—
1079#461—531no—
1080#461—531no—
1081#460—531no—
1082#460—531no—
1083#460—531no—
1084#460C2×D5311yescharacteristic, complemented
1085#459—531no—
1086#459—531no—
1087#459—531no—
1088#459C2×D5311yescharacteristic, complemented
1089#452—531no—
1090#452—531no—
1091#452—531no—
1092#452—531no—
1093#452—531no—
1094#452—531no—
1095#452—531no—
1096#452C2×D5311yescharacteristic, complemented
1097#451—531no—
1098#451—531no—
1099#451—531no—
1100#451—531no—
1101#450—531no—
1102#450—531no—
1103#450—531no—
1104#450C2×D5311yescharacteristic, complemented
1105#449—531no—
1106#449—531no—
1107#449—531no—
1108#449—531no—
1109#449—531no—
1110#449—531no—
1111#449—531no—
1112#449C2×D5311yescharacteristic
1113#448—531no—
1114#448—531no—
1115#448—531no—
1116#448—531no—
1117#447—531no—
1118#447—531no—
1119#447—531no—
1120#447C2×D5311yescharacteristic, complemented
1121#433—531no—
1122#433—531no—
1123#433—531no—
1124#433—531no—
1125#433—531no—
1126#433—531no—
1127#433—531no—
1128#433C2×D5311yescharacteristic, complemented
1129#423—531no—
1130#423—531no—
1131#417—531no—
1132#417—531no—
1133#417—531no—
1134#417—531no—
1135#417—531no—
1136#417—531no—
1137#417—531no—
1138#417—531no—
1139#407—531no—
1140#407—531no—
1141C4×M16—531no—
1142C4×M16—531no—
1143C53#6081011yescharacteristic, complemented, Sylow
1144C2×#41—531no—
1145C2×#41—531no—
1146C2×#41—531no—
1147C2×#41—531no—
1148C2×#41—531no—
1149C2×#41—531no—
1150C2×#41—531no—
1151C2×#41—1061no—
1152C2×#41—1061no—
1153C2×#41—1061no—
1154C2×#41—1061no—
1155C2×#41—2122no—
1156C2×#41—2122no—
1157C2×#41—2122no—
1158C2×#41—2122no—
1159C2×#41C22×D5311yescharacteristic
1160C22×Q8—531no—
1161C22×Q8—531no—
1162C22×Q8—531no—
1163C22×Q8—1061no—
1164C22×D4—531no—
1165C22×D4—531no—
1166C22×D4—1061no—
1167C22×D4—1061no—
1168C22×D4—1061no—
1169C22×D4C22×D5311yescharacteristic
1170C23×C4—531no—
1171C23×C4—1061no—
1172C23×C4—1061no—
1173C23×C4—1061no—
1174#137—2122no—
1175#137—2122no—
1176#137—2122no—
1177#137—2122no—
1178AGL(1,ℤ/8)—2122no—
1179AGL(1,ℤ/8)—2122no—
1180AGL(1,ℤ/8)—2122no—
1181AGL(1,ℤ/8)—2122no—
1182C2×Q16—531no—
1183C2×Q16—531no—
1184C2×Q16—531no—
1185C2×Q16—531no—
1186C2×Q16—531no—
1187C2×Q16—531no—
1188C2×Q16—531no—
1189C2×Q16C22×D5311yescharacteristic
1190C2×SD16—531no—
1191C2×SD16—531no—
1192C2×SD16—531no—
1193C2×SD16—531no—
1194C2×SD16—531no—
1195C2×SD16—531no—
1196C2×SD16—531no—
1197C2×SD16—531no—
1198C2×SD16—531no—
1199C2×SD16—531no—
1200C2×SD16—531no—
1201C2×SD16—531no—
1202C2×SD16C22×D5311yescharacteristic
1203C2×SD16C22×D5311yescharacteristic
1204C2×SD16C22×D5311yescharacteristic
1205C2×SD16C22×D5311yescharacteristic
1206C2×D8—531no—
1207C2×D8—531no—
1208C2×D8—531no—
1209C2×D8—531no—
1210C2×D8—531no—
1211C2×D8C22×D5311yescharacteristic
1212C2×D8C22×D5311yescharacteristic
1213C2×D8C22×D5311yescharacteristic
1214C2×M16—531no—
1215C2×M16—531no—
1216C2×M16—531no—
1217C2×M16—531no—
1218C4⋊Q8—531no—
1219C4⋊Q8—531no—
1220C4⋊Q8—531no—
1221C4⋊Q8—531no—
1222C4⋊Q8—531no—
1223C4⋊Q8—531no—
1224C4⋊Q8—531no—
1225C4⋊Q8—1061no—
1226C4⋊Q8—1061no—
1227C4⋊Q8C22×D5311yescharacteristic
1228#127—531no—
1229#127—531no—
1230#127C22×D5311yescharacteristic
1231#127C22×D5311yescharacteristic
1232#126—21no—
1233#126—1061no—
1234#126—1061no—
1235#126—1061no—
1236#126—1061no—
1237#126—1061no—
1238#126—1061no—
1239#126—1061no—
1240#124—21no—
1241#124—531no—
1242#124—531no—
1243#124—531no—
1244#124—531no—
1245#124—531no—
1246#124—531no—
1247#124—531no—
1248#124—531no—
1249#124—531no—
1250#124—1061no—
1251#124—1061no—
1252#124—1061no—
1253#124—1061no—
1254#124—1061no—
1255#124—1061no—
1256#124—1061no—
1257#124—1061no—
1258#124—1061no—
1259#124C22×D5311yescharacteristic
1260#124C22×D5311yescharacteristic
1261#124C22×D5311yescharacteristic
1262#123—21no—
1263#123—1061no—
1264#123—1061no—
1265#123—1061no—
1266#123—1061no—
1267#123—1061no—
1268#123—1061no—
1269#123—1061no—
1270#123—1061no—
1271#123—1061no—
1272#123—1061no—
1273#123—1061no—
1274#123—1061no—
1275#123—1061no—
1276#123—1061no—
1277#123—1061no—
1278C22⋊Q8—21no—
1279C22⋊Q8—531no—
1280C22⋊Q8—531no—
1281C22⋊Q8—531no—
1282C22⋊Q8—1061no—
1283C22⋊Q8—1061no—
1284C22⋊Q8—1061no—
1285C22⋊Q8—1061no—
1286C22⋊Q8—1061no—
1287C22⋊Q8—1061no—
1288C22⋊Q8—1061no—
1289C22⋊Q8—1061no—
1290C22⋊Q8—1061no—
1291C22⋊Q8—1061no—
1292C22⋊Q8—1061no—
1293C22⋊Q8—1061no—
1294C22⋊Q8—1061no—
1295C22⋊Q8—1061no—
1296C22⋊Q8—1061no—
1297C22⋊Q8—1061no—
1298C22⋊Q8—1061no—
1299C22⋊Q8C22×D5311yescharacteristic
1300#121—21no—
1301#121—21no—
1302#121—531no—
1303#121—531no—
1304#121—531no—
1305#121—1061no—
1306#121—1061no—
1307#121—1061no—
1308#121—1061no—
1309#121—1061no—
1310#121—1061no—
1311#121—1061no—
1312#121—1061no—
1313#121—1061no—
1314#121—1061no—
1315#121—1061no—
1316#121—1061no—
1317#121—1061no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121C22×D5311yescharacteristic
1322#120—21no—
1323#120—21no—
1324#120—1061no—
1325#120—1061no—
1326#120—1061no—
1327#120—1061no—
1328#120—1061no—
1329#120—1061no—
1330C4×Q8—531no—
1331C4×Q8—531no—
1332C4×Q8—531no—
1333C4×Q8—1061no—
1334C4×Q8—1061no—
1335C4×Q8C22×D5311yescharacteristic
1336C4×D4—531no—
1337C4×D4—531no—
1338C4×D4—531no—
1339C4×D4—1061no—
1340C4×D4—1061no—
1341C4×D4—1061no—
1342C4×D4—1061no—
1343C4×D4—1061no—
1344C4×D4—1061no—
1345C4×D4—1061no—
1346C4×D4—1061no—
1347C4×D4—1061no—
1348C4×D4—1061no—
1349C4×D4C22×D5311yescharacteristic
1350#117—531no—
1351#117—531no—
1352#117—531no—
1353#117—531no—
1354#117—531no—
1355#117—531no—
1356#117—531no—
1357#117C22×D5311yescharacteristic
1358C2×C4⋊C4—531no—
1359C2×C4⋊C4—531no—
1360C2×C4⋊C4—531no—
1361C2×C4⋊C4—531no—
1362C2×C4⋊C4—1061no—
1363C2×C4⋊C4—1061no—
1364C2×C4⋊C4—1061no—
1365C2×C22⋊C4—531no—
1366C2×C22⋊C4—531no—
1367C2×C22⋊C4—1061no—
1368C2×C22⋊C4—1061no—
1369C2×C22⋊C4—1061no—
1370C2×C22⋊C4—1061no—
1371C2×C22⋊C4—1061no—
1372C2×C42—531no—
1373C2×C42—531no—
1374C2×C42—1061no—
1375C4⋊C8—531no—
1376C4⋊C8—531no—
1377C4⋊C8—531no—
1378C4⋊C8—531no—
1379C4⋊C8—531no—
1380C4⋊C8—531no—
1381C4⋊C8C22×D5311yescharacteristic
1382C4⋊C8C22×D5311yescharacteristic
1383#103—531no—
1384#103—531no—
1385#103—531no—
1386#103—531no—
1387#103—531no—
1388#103—531no—
1389#103—531no—
1390#103—531no—
1391#103—531no—
1392#103—531no—
1393#103—531no—
1394#103—531no—
1395#103—531no—
1396#103—531no—
1397#103C22×D5311yescharacteristic
1398#103C22×D5311yescharacteristic
1399#102—531no—
1400#102—531no—
1401#102—531no—
1402#102—531no—
1403#102—531no—
1404#102—531no—
1405#102—531no—
1406#102—531no—
1407#102—531no—
1408#102—531no—
1409#102C22×D5311yescharacteristic
1410#102C22×D5311yescharacteristic
1411#102C22×D5311yescharacteristic
1412#102C22×D5311yescharacteristic
1413#102C22×D5311yescharacteristic
1414#102C22×D5311yescharacteristic
1415C22⋊C8—531no—
1416C22⋊C8—531no—
1417C22⋊C8—531no—
1418C22⋊C8—531no—
1419C22⋊C8—531no—
1420C22⋊C8—531no—
1421C22⋊C8C22×D5311yescharacteristic
1422C22⋊C8C22×D5311yescharacteristic
1423#97—531no—
1424#97—531no—
1425#97—531no—
1426#97C22×D5311yescharacteristic
1427C4×C8—531no—
1428C4×C8—531no—
1429C4×C8—531no—
1430C4×C8C22×D5311yescharacteristic
1431C24—21no—
1432C24—531no—
1433C24—1061no—
1434C24—1061no—
1435#41—41no—
1436#41—41no—
1437#41—1062no—
1438#41—1062no—
1439#41—1062no—
1440#41—1062no—
1441#41—1062no—
1442#41—1062no—
1443#41—1062no—
1444#41—1062no—
1445#41—2121no—
1446#41—2121no—
1447#41—2124no—
1448#41—2121no—
1449#41—2121no—
1450#41—2121no—
1451#41—2121no—
1452#41—2124no—
1453#41—2124no—
1454#41—2124no—
1455C2×Q8—21no—
1456C2×Q8—531no—
1457C2×Q8—531no—
1458C2×Q8—531no—
1459C2×Q8—531no—
1460C2×Q8—1061no—
1461C2×Q8—1061no—
1462C2×Q8—1061no—
1463C2×Q8—1061no—
1464C2×Q8—1062no—
1465C2×Q8—1062no—
1466C2×Q8—1061no—
1467C2×Q8—1061no—
1468C2×Q8—4242no—
1469C2×Q8—2121no—
1470C2×Q8—2121no—
1471C2×Q8—2121no—
1472C2×Q8—2121no—
1473C2×Q8C23×D5311yescharacteristic
1474C2×Q8C23×D5311yescharacteristic
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—41no—
1483C2×D4—41no—
1484C2×D4—531no—
1485C2×D4—531no—
1486C2×D4—1061no—
1487C2×D4—1061no—
1488C2×D4—1062no—
1489C2×D4—1062no—
1490C2×D4—1061no—
1491C2×D4—1061no—
1492C2×D4—1061no—
1493C2×D4—1061no—
1494C2×D4—1061no—
1495C2×D4—1061no—
1496C2×D4—1061no—
1497C2×D4—1061no—
1498C2×D4—1061no—
1499C2×D4—1061no—
1500C2×D4—1061no—
1501C2×D4—1061no—
1502C2×D4—1061no—
1503C2×D4—1061no—
1504C2×D4—4242no—
1505C2×D4—2121no—
1506C2×D4—2121no—
1507C2×D4—2124no—
1508C2×D4—2124no—
1509C2×D4C23×D5311yescharacteristic
1510C2×D4C23×D5311yescharacteristic
1511C2×D4C23×D5311yescharacteristic
1512C2×D4C23×D5311yescharacteristic
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—531no—
1516C22×C4—531no—
1517C22×C4—531no—
1518C22×C4—531no—
1519C22×C4—531no—
1520C22×C4—531no—
1521C22×C4—531no—
1522C22×C4—531no—
1523C22×C4—531no—
1524C22×C4—1062no—
1525C22×C4—1062no—
1526C22×C4—1061no—
1527C22×C4—1061no—
1528C22×C4—1061no—
1529C22×C4—1061no—
1530C22×C4—1061no—
1531C22×C4—1061no—
1532C22×C4—1061no—
1533C22×C4—1061no—
1534C22×C4—1061no—
1535C22×C4—1061no—
1536C22×C4—1061no—
1537C22×C4—1061no—
1538C22×C4—1061no—
1539C22×C4—1061no—
1540C22×C4—1061no—
1541C22×C4—4242no—
1542C22×C4—2124no—
1543C22×C4—2124no—
1544C22×C4C23×D5311yescharacteristic
1545Q16—41no—
1546Q16—2121no—
1547Q16—2121no—
1548Q16—2121no—
1549Q16—2121no—
1550Q16—2121no—
1551Q16—2121no—
1552Q16—2121no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—2121no—
1558SD16—2121no—
1559SD16—2121no—
1560SD16—2121no—
1561SD16—2121no—
1562SD16—2121no—
1563SD16—2121no—
1564SD16—2121no—
1565SD16—2121no—
1566SD16—2121no—
1567SD16—2121no—
1568SD16—2121no—
1569D8—41no—
1570D8—41no—
1571D8—41no—
1572D8—2121no—
1573D8—2121no—
1574D8—2121no—
1575D8—2121no—
1576D8—2121no—
1577M16—1062no—
1578M16—1062no—
1579M16—1062no—
1580M16—1062no—
1581C2×C8—531no—
1582C2×C8—531no—
1583C2×C8—531no—
1584C2×C8—531no—
1585C2×C8C23×D5311yescharacteristic
1586C2×C8C23×D5311yescharacteristic
1587C2×C8C23×D5311yescharacteristic
1588C2×C8C23×D5311yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—531no—
1593C4⋊C4—531no—
1594C4⋊C4—531no—
1595C4⋊C4—531no—
1596C4⋊C4—531no—
1597C4⋊C4—531no—
1598C4⋊C4—531no—
1599C4⋊C4—531no—
1600C4⋊C4—1061no—
1601C4⋊C4—1061no—
1602C4⋊C4—1061no—
1603C4⋊C4—1061no—
1604C4⋊C4—1061no—
1605C4⋊C4—1061no—
1606C4⋊C4—1061no—
1607C4⋊C4—1061no—
1608C4⋊C4—1061no—
1609C4⋊C4—1061no—
1610C4⋊C4—1061no—
1611C4⋊C4—1061no—
1612C4⋊C4—1061no—
1613C4⋊C4—1061no—
1614C4⋊C4—1061no—
1615C4⋊C4—1061no—
1616C4⋊C4—1061no—
1617C4⋊C4—1061no—
1618C4⋊C4—1061no—
1619C4⋊C4D4×D5311yescharacteristic
1620C4⋊C4D4×D5311yescharacteristic
1621C4⋊C4C23×D5311yescharacteristic
1622C4⋊C4C23×D5311yescharacteristic
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—531no—
1633C22⋊C4—531no—
1634C22⋊C4—531no—
1635C22⋊C4—531no—
1636C22⋊C4—531no—
1637C22⋊C4—531no—
1638C22⋊C4—1061no—
1639C22⋊C4—1061no—
1640C22⋊C4—1061no—
1641C22⋊C4—1061no—
1642C22⋊C4—1061no—
1643C22⋊C4—1061no—
1644C22⋊C4—1061no—
1645C22⋊C4—1061no—
1646C22⋊C4—1061no—
1647C22⋊C4—1061no—
1648C22⋊C4—1061no—
1649C22⋊C4—1061no—
1650C22⋊C4—1061no—
1651C22⋊C4—1061no—
1652C22⋊C4—1061no—
1653C22⋊C4—1061no—
1654C22⋊C4—1061no—
1655C22⋊C4—1061no—
1656C22⋊C4—1061no—
1657C22⋊C4—1061no—
1658C22⋊C4—1061no—
1659C22⋊C4—1061no—
1660C22⋊C4—1061no—
1661C22⋊C4—1061no—
1662C22⋊C4—1061no—
1663C22⋊C4—1061no—
1664C22⋊C4—1061no—
1665C22⋊C4D4×D5311yescharacteristic
1666C22⋊C4D4×D5311yescharacteristic
1667C42—21no—
1668C42—531no—
1669C42—531no—
1670C42—531no—
1671C42—531no—
1672C42—531no—
1673C42—531no—
1674C42—1061no—
1675C42—1061no—
1676C42—1061no—
1677C42C23×D5311yescharacteristic
1678C42C23×D5311yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—42no—
1684C23—81no—
1685C23—81no—
1686C23—531no—
1687C23—531no—
1688C23—1062no—
1689C23—1061no—
1690C23—1061no—
1691C23—4241no—
1692C23—4241no—
1693C23—2121no—
1694C23—2121no—
1695C23—2122no—
1696C23—2122no—
1697C23—2122no—
1698C23—2122no—
1699C23C2×D4×D5311yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—81no—
1705Q8—1061no—
1706Q8—1061no—
1707Q8—1061no—
1708Q8—1061no—
1709Q8—1061no—
1710Q8—1061no—
1711Q8—1061no—
1712Q8—1061no—
1713Q8—4241no—
1714Q8—4241no—
1715Q8—4241no—
1716Q8—2122no—
1717Q8—2122no—
1718Q8—2122no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—42no—
1728D4—42no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—1061no—
1735D4—1061no—
1736D4—1061no—
1737D4—1061no—
1738D4—4241no—
1739D4—4241no—
1740D4—4241no—
1741D4—4241no—
1742D4—4241no—
1743D4—4241no—
1744D4—4241no—
1745D4—2122no—
1746D4—2122no—
1747D4—2122no—
1748D4—2122no—
1749D4—2122no—
1750D4—2122no—
1751D4—2122no—
1752D4—2122no—
1753D4—2122no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—81no—
1762C2×C4—531no—
1763C2×C4—532no—
1764C2×C4—532no—
1765C2×C4—531no—
1766C2×C4—531no—
1767C2×C4—531no—
1768C2×C4—531no—
1769C2×C4—531no—
1770C2×C4—1062no—
1771C2×C4—1062no—
1772C2×C4—1062no—
1773C2×C4—1061no—
1774C2×C4—1061no—
1775C2×C4—1061no—
1776C2×C4—1061no—
1777C2×C4—1061no—
1778C2×C4—1061no—
1779C2×C4—1061no—
1780C2×C4—1061no—
1781C2×C4—4241no—
1782C2×C4—4241no—
1783C2×C4—4241no—
1784C2×C4—2121no—
1785C2×C4—2121no—
1786C2×C4—2121no—
1787C2×C4—2121no—
1788C2×C4—2122no—
1789C2×C4—2122no—
1790C2×C4—2122no—
1791C2×C4—2122no—
1792C2×C4—2122no—
1793C2×C4—2122no—
1794C2×C4—2122no—
1795C2×C4—2122no—
1796C2×C4—2122no—
1797C2×C4—2122no—
1798C2×C4—2122no—
1799C2×C4—2122no—
1800C2×C4C2×D4×D5311yescharacteristic
1801C2×C4C2×D4×D5311yescharacteristic
1802C2×C4C2×D4×D5311yescharacteristic
1803C2×C4C2×D4×D5311yescharacteristic
1804C2×C4C2×D4×D5311yescharacteristic
1805C2×C4C24×D5311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1061no—
1811C8—1061no—
1812C8—1061no—
1813C8—1061no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—84no—
1830C22—532no—
1831C22—1061no—
1832C22—1061no—
1833C22—1061no—
1834C22—1061no—
1835C22—1061no—
1836C22—4242no—
1837C22—4244no—
1838C22—4244no—
1839C22—2121no—
1840C22—2121no—
1841C22—2121no—
1842C22—2121no—
1843C22—2121no—
1844C22—2121no—
1845C22C22×D4×D5311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—532no—
1856C4—1061no—
1857C4—1061no—
1858C4—1061no—
1859C4—1061no—
1860C4—1061no—
1861C4—2121no—
1862C4—2121no—
1863C4—2121no—
1864C4—2121no—
1865C4—2121no—
1866C4—2121no—
1867C4H(5,𝔽2)×D5311yescharacteristic
1868C4H(5,𝔽2)×D5311yescharacteristic
1869C2—41no—
1870C2—81no—
1871C2—81no—
1872C2—81no—
1873C2—81no—
1874C2—1062no—
1875C2—4241no—
1876C2—4241no—
1877C2—2121no—
1878C2#535×D5311yescharacteristic
1879C2#2028949011yescharacteristic
1880C2#2028949711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3224C2
socleC22×C53C23×D4
hypercenter#3224D53
hypocenterC53#60810
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #542×D53C2semidirect
2. #20288046C2semidirect
3. #20285829C2semidirect
4. #20285828C2semidirect
5. #20285826C2semidirect
6. #20285825C2semidirect
7. #20285821C2semidirect
8. #20285820C2semidirect
9. #20285818C2semidirect
10. #20285817C2semidirect
11. #20285814C2semidirect
12. #20285813C2semidirect
13. #20285812C2semidirect
14. #20285809C2semidirect
15. #20285806C2semidirect
16. #20285805C2semidirect
17. #20285804C2semidirect
18. #20285180C2semidirect
19. #20285176C2semidirect
20. #20285107C2semidirect
21. #20285105C2semidirect
22. #20284185C2semidirect
23. #20284182C2semidirect
24. #20284177C2semidirect
25. #20284174C2semidirect
26. #20283972C2semidirect
27. #20283970C2semidirect
28. #20283964C2semidirect
29. #20283962C2semidirect
30. #20283349C2semidirect
31. C53×#3224C2semidirect
34. C2×#13133249C22semidirect
35. C2×#13133246C22semidirect
36. C2×#13133246C22semidirect
37. C2×#13133246C22semidirect
38. C2×#13133244C22semidirect
39. C2×#13133241C22semidirect
40. C2×#13133241C22semidirect
41. C2×#13133241C22semidirect
42. #16811247C22semidirect
43. #16811246C22semidirect
44. #16811245C22semidirect
45. #16811244C22semidirect
47. #16811242C22semidirect
49. #16811240C22semidirect
51. #16811238C22semidirect
55. #16811199C22semidirect
56. #16811194C22semidirect
57. #16811193C22semidirect
58. #16811193C22semidirect
59. #16811190C22semidirect
60. #16811186C22semidirect
61. #16811186C22semidirect
68. C4⋊Q8×D53C22semidirect
71. #124×D53C22semidirect
80. C4×Q8×D53C22semidirect
81. C4×D4×D53C22semidirect
83. #16811018C22semidirect
84. #16811017C22semidirect
85. #16811016C22semidirect
86. #16811014C22semidirect
87. #16811011C22semidirect
88. #16811010C22semidirect
89. #16811009C22semidirect
90. #16811007C22semidirect
91. #16811006C22semidirect
92. #16811006C22semidirect
93. #16811005C22semidirect
94. #16811005C22semidirect
95. #16811004C22semidirect
96. #16811004C22semidirect
97. #16810985C22semidirect
98. #16810983C22semidirect
99. #16810982C22semidirect
100. #16810981C22semidirect
101. #16810981C22semidirect
102. #16810981C22semidirect
103. #16810981C22semidirect
104. #16810975C22semidirect
105. #16810974C22semidirect
106. #16810972C22semidirect
107. #16810972C22semidirect
108. #16810969C22semidirect
109. #16810968C22semidirect
110. #16810968C22semidirect
111. #16810846C22semidirect
112. #16810845C22semidirect
113. #16810844C22semidirect
114. #16810844C22semidirect
115. #16810843C22semidirect
116. #16810843C22semidirect
117. #16810842C22semidirect
118. #16810839C22semidirect
119. #16810838C22semidirect
120. #16810837C22semidirect
121. #16810837C22semidirect
122. #16810836C22semidirect
123. #16810836C22semidirect
124. #16810835C22semidirect
125. #16810834C22semidirect
126. #16810833C22semidirect
127. #16810832C22semidirect
128. #16810831C22semidirect
129. #16810829C22semidirect
130. #16810828C22semidirect
131. #16810827C22semidirect
132. #16810826C22semidirect
133. #16810822C22semidirect
134. #16810821C22semidirect
135. #16810820C22semidirect
136. #16810817C22semidirect
137. #16810816C22semidirect
138. #16810815C22semidirect
139. #16810787C22semidirect
140. #16810786C22semidirect
141. #16810786C22semidirect
142. #16810785C22semidirect
143. #16810783C22semidirect
144. #16810782C22semidirect
145. #16810782C22semidirect
146. #16810781C22semidirect
147. #16810780C22semidirect
148. #16810778C22semidirect
149. #16810777C22semidirect
150. #16810775C22semidirect
151. #16810774C22semidirect
152. #16810772C22semidirect
160. #16810764C22semidirect
161. #16810763C22semidirect
162. #16810761C22semidirect
163. #16810760C22semidirect
164. #16810758C22semidirect
165. #16810757C22semidirect
166. #16810755C22semidirect
167. #16810685C22semidirect
168. #16810684C22semidirect
169. #16810683C22semidirect
170. #16810683C22semidirect
171. #16810682C22semidirect
172. #16810681C22semidirect
173. #16810681C22semidirect
174. #16810645C22semidirect
175. #16810645C22semidirect
176. #16810623C22semidirect
177. #16810623C22semidirect
178. #16810621C22semidirect
179. #16810621C22semidirect
180. #16810621C22semidirect
181. #16810621C22semidirect
182. #16810621C22semidirect
183. #16810621C22semidirect
186. #16810575C22semidirect
187. C4×#11719912C22semidirect
188. C53×#542C22semidirect
189. C53×#535C22semidirect
190. C53×#496C22semidirect
191. C53×#495C22semidirect
192. C53×#489C22semidirect
193. C53×#486C22semidirect
194. C53×#464C22semidirect
195. C53×#463C22semidirect
196. C53×#460C22semidirect
197. C53×#459C22semidirect
198. C53×#452C22semidirect
199. C53×#450C22semidirect
201. C53×#447C22semidirect
202. C53×#433C22semidirect
946. #3224D53semidirect
993. #542C2×D53semidirect
1003. #535C2×D53semidirect
1032. #496C2×D53semidirect
1040. #495C2×D53semidirect
1048. #489C2×D53semidirect
1056. #486C2×D53semidirect
1064. #464C2×D53semidirect
1072. #463C2×D53semidirect
1084. #460C2×D53semidirect
1088. #459C2×D53semidirect
1096. #452C2×D53semidirect
1104. #450C2×D53semidirect
1120. #447C2×D53semidirect
1128. #433C2×D53semidirect
1143. C53#60810semidirect

Maximal subgroups

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

subgroupindex
#542×D532
#202880462
#202858292
#202858282
#202858262
#202858252
#202858212
#202858202
#202858182
#202858172
#202858142
#202858132
#202858122
#202858092
#202858062
#202858052
#202858042
#202851802
#202851762
#202851072
#202851052
#202841852
#202841822
#202841772
#202841742
#202839722
#202839702
#202839642
#202839622
#202833492
C53×#32242
#6081053