Finite Group Databasebeta

← #28270333

Subgroups — #28270333

Order 13568.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289019C211yesmaximal, characteristic, complemented
2#20288377C211yesmaximal, characteristic, complemented
3#20286864C211yesmaximal, characteristic, complemented
4#20286729C211yesmaximal, characteristic, complemented
5#20286722C211yesmaximal, characteristic, complemented
6#20286707C211yesmaximal, characteristic, complemented
7#20286658C211yesmaximal, characteristic, complemented
8#20286595C211yesmaximal, characteristic, complemented
9#20286561C211yesmaximal, characteristic, complemented
10#20286524C211yesmaximal, characteristic, complemented
11#20286469C211yesmaximal, characteristic, complemented
12#20286416C211yesmaximal, characteristic, complemented
13#20286393C211yesmaximal, characteristic, complemented
14#20286385C211yesmaximal, characteristic, complemented
15#20286258C211yesmaximal, characteristic, complemented
16#20286249C211yesmaximal, characteristic, complemented
17#20286213C211yesmaximal, characteristic, complemented
18#20286189C211yesmaximal, characteristic, complemented
19#20285813C211yesmaximal, characteristic, complemented
20#20285761C211yesmaximal, characteristic, complemented
21#20285612C211yesmaximal, characteristic, complemented
22#20285569C211yesmaximal, characteristic, complemented
23#20285483C211yesmaximal, characteristic, complemented
24#20285464C211yesmaximal, characteristic, complemented
25#20284978C211yesmaximal, characteristic, complemented
26#20284915C211yesmaximal, characteristic, complemented
27#20283983C211yesmaximal, characteristic, complemented
28#20283936C211yesmaximal, characteristic, complemented
29#449×D53C211yesmaximal, characteristic, complemented
30#20283767C211yesmaximal, characteristic, complemented
31C53×#3012C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic, complemented
33C2×#13133242C2211yescharacteristic, complemented
34C2×#13133240C2211yescharacteristic, complemented
35C2×#13133238C2211yescharacteristic, complemented
36C2×SD16×D53C2211yescharacteristic, complemented
37C22×#11719922C2211yescharacteristic, complemented
38C2×D8×D53C2211yescharacteristic, complemented
39#16811369—21no—
40#16811361—21no—
41#16811337C2211yescharacteristic, complemented
42#16811321C2211yescharacteristic, complemented
43#16811307C2211yescharacteristic, complemented
44#16811300—21no—
45#16811292C2211yescharacteristic, complemented
46#16811292C2211yescharacteristic, complemented
47#16811292C2211yescharacteristic, complemented
48#16811280C2211yescharacteristic
49#16811280C2211yescharacteristic, complemented
50#16811274C2211yescharacteristic, complemented
51#16811270—21no—
52#16811267—21no—
53#16811267—21no—
54#16811267C2211yescharacteristic, complemented
55#16811267C2211yescharacteristic, complemented
56#16811264C2211yescharacteristic, complemented
57#16811261C2211yescharacteristic, complemented
58#16811257C2211yescharacteristic, complemented
59D4×C22⋊D53—21no—
60D4×C22⋊D53—21no—
61D4×C22⋊D53C2211yescharacteristic
62D4×C22⋊D53C2211yescharacteristic, complemented
63#16811246C2211yescharacteristic, complemented
64#16811226C2211yescharacteristic, complemented
65#16811223—21no—
66#16811205—21no—
67#16811201—21no—
68#16811201C2211yescharacteristic, complemented
69#16811190—21no—
70#16811190C2211yescharacteristic, complemented
71#16811189—21no—
72#16811187C2211yescharacteristic, complemented
73#16811181—21no—
74#16811136C2211yescharacteristic, complemented
75#16811130—21no—
76#16811130C2211yescharacteristic
77C2×#13133188—21no—
78C2×#13133188C2211yescharacteristic, complemented
79#121×D53C2211yescharacteristic, complemented
80#16811106C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16811009C2211yescharacteristic, complemented
83#16811004C2211yescharacteristic, complemented
84#16810998C2211yescharacteristic, complemented
85#16810986C2211yescharacteristic, complemented
86#16810981C2211yescharacteristic, complemented
87#16810976C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810965C2211yescharacteristic, complemented
90#16810958C2211yescharacteristic, complemented
91#16810956C2211yescharacteristic, complemented
92#16810948C2211yescharacteristic, complemented
93#16810946C2211yescharacteristic, complemented
94#16810946C2211yescharacteristic, complemented
95#16810942C2211yescharacteristic, complemented
96#16810937C2211yescharacteristic, complemented
97#16810936C2211yescharacteristic, complemented
98#16810935C2211yescharacteristic, complemented
99#16810935C2211yescharacteristic, complemented
100#16810934C2211yescharacteristic, complemented
101#16810928C2211yescharacteristic, complemented
102#16810925C2211yescharacteristic, complemented
103#16810916C2211yescharacteristic, complemented
104#16810901C2211yescharacteristic, complemented
105#16810876C2211yescharacteristic, complemented
106#16810871C2211yescharacteristic, complemented
107#16810869C2211yescharacteristic, complemented
108#16810867C2211yescharacteristic, complemented
109#16810862C2211yescharacteristic, complemented
110#16810859C2211yescharacteristic, complemented
111#16810858C2211yescharacteristic, complemented
112#16810858C2211yescharacteristic, complemented
113#16810858C2211yescharacteristic, complemented
114#16810858C2211yescharacteristic, complemented
115#16810857C2211yescharacteristic, complemented
116#16810856C2211yescharacteristic, complemented
117#16810856C2211yescharacteristic, complemented
118#16810852C2211yescharacteristic, complemented
119#16810849C2211yescharacteristic, complemented
120#16810849C2211yescharacteristic, complemented
121#16810847C2211yescharacteristic, complemented
122#16810843C2211yescharacteristic, complemented
123#16810840C2211yescharacteristic, complemented
124#16810837C2211yescharacteristic, complemented
125#16810837C2211yescharacteristic, complemented
126#16810836C2211yescharacteristic, complemented
127#16810821C2211yescharacteristic, complemented
128#16810821C2211yescharacteristic, complemented
129#16810817C2211yescharacteristic, complemented
130#16810817C2211yescharacteristic, complemented
131#16810816C2211yescharacteristic, complemented
132#16810816C2211yescharacteristic, complemented
133#16810785C2211yescharacteristic, complemented
134#16810783C2211yescharacteristic, complemented
135#16810777C2211yescharacteristic, complemented
136#16810776C2211yescharacteristic, complemented
137#16810772C2211yescharacteristic, complemented
138#16810771C2211yescharacteristic, complemented
139#16810770C2211yescharacteristic, complemented
140#16810770C2211yescharacteristic, complemented
141#16810769C2211yescharacteristic, complemented
142#16810768C2211yescharacteristic
143#16810768C2211yescharacteristic, complemented
144#16810768C2211yescharacteristic, complemented
145#16810768C2211yescharacteristic, complemented
146#16810768C2211yescharacteristic, complemented
147#16810767C2211yescharacteristic, complemented
148#16810767C2211yescharacteristic, complemented
149#16810767C2211yescharacteristic, complemented
150#16810766C2211yescharacteristic, complemented
151#16810765C2211yescharacteristic, complemented
152#16810763C2211yescharacteristic, complemented
153#16810759C2211yescharacteristic, complemented
154#16810758C2211yescharacteristic, complemented
155#16810757C2211yescharacteristic, complemented
156#16810757C2211yescharacteristic, complemented
157#16810757C2211yescharacteristic, complemented
158#16810757C2211yescharacteristic, complemented
159#16810755C2211yescharacteristic, complemented
160#16810755C2211yescharacteristic, complemented
161#16810735C2211yescharacteristic, complemented
162#16810726C2211yescharacteristic, complemented
163#16810726C2211yescharacteristic, complemented
164#16810724C2211yescharacteristic, complemented
165Q16×Dic53C2211yescharacteristic, complemented
166SD16×Dic53C2211yescharacteristic, complemented
167#16810703C2211yescharacteristic, complemented
168#16810703C2211yescharacteristic, complemented
169#16810697C2211yescharacteristic, complemented
170#16810697C2211yescharacteristic, complemented
171#16810692C2211yescharacteristic, complemented
172#16810692C2211yescharacteristic, complemented
173C8×C22⋊D53C2211yescharacteristic, complemented
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810686C2211yescharacteristic, complemented
176#16810686C2211yescharacteristic, complemented
177#16810681C2211yescharacteristic, complemented
178#16810681C2211yescharacteristic, complemented
179#16810628C2211yescharacteristic, complemented
180#16810619C2211yescharacteristic, complemented
181#16810618C2211yescharacteristic, complemented
182#16810616C2211yescharacteristic, complemented
183#103×D53C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810590C2211yescharacteristic, complemented
186C22⋊C8×D53C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C53C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C53C2211yescharacteristic, complemented
190C2×#135×C53C2211yescharacteristic, complemented
191C53×#537C2211yescharacteristic, complemented
192C53×#452C2211yescharacteristic, complemented
193C53×#452C2211yescharacteristic, complemented
194C53×#450C2211yescharacteristic, complemented
195C53×#450C2211yescharacteristic, complemented
196C53×#449C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic, complemented
198C53×#447C2211yescharacteristic, complemented
199C53×#447C2211yescharacteristic, complemented
200C53×#417C2211yescharacteristic, complemented
201C2×#102×C53C2211yescharacteristic, complemented
202C53×#408C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719949C2311yescharacteristic
205C2×#11719945—21no—
206C2×#11719945—21no—
207C2×#11719945C2311yescharacteristic
208C2×#11719947—21no—
209C2×#11719947C2311yescharacteristic
210#41×D53—42no—
211#41×D53—42no—
212C2×Q8×D53C2311yescharacteristic
213C22×D212C2311yescharacteristic
214C22×C22⋊D53—21no—
215C22×C22⋊D53—21no—
216C22×C22⋊D53—21no—
217C2×D4×D53—21no—
218C2×D4×D53—21no—
219C2×D4×D53—21no—
220C2×D4×D53C2311yescharacteristic
221C2×D4×D53C2311yescharacteristic
222C22×C4×D53—21no—
223C22×C4×D53C2311yescharacteristic
224#13133242—42no—
225#13133240—42no—
226#13133238—42no—
227C2×#11719925C2311yescharacteristic
228C2×#11719913C2311yescharacteristic
229C2×#11719913C2311yescharacteristic
230C2×#11719923C2311yescharacteristic
231C2×#11719924C2311yescharacteristic
232C2×#11719924C2311yescharacteristic
233C2×#11719924C2311yescharacteristic
234SD16×D53—42no—
235C2×D424C2311yescharacteristic
236C2×D424C2311yescharacteristic
237C2×#11719922—42no—
238C2×#11719922C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719922C2311yescharacteristic
241C2×#11719922C2311yescharacteristic
242C2×#11719922C2311yescharacteristic
243C2×#11719922C2311yescharacteristic
244C2×#11719922C2311yescharacteristic
245D8×D53—42no—
246C2×#11719917C2311yescharacteristic
247C22×#88322C2311yescharacteristic
248C2×C8×D53C2311yescharacteristic
249C2×C8×D53C2311yescharacteristic
250C2×C8×D53C2311yescharacteristic
251C2×C8×D53C2311yescharacteristic
252#13133216C2311yescharacteristic
253#13133213—21no—
254#13133213—21no—
255#13133213—21no—
256#13133213—21no—
257#13133213C2311yescharacteristic
258#13133213C2311yescharacteristic
259#13133213C2311yescharacteristic
260#13133212—21no—
261#13133212—21no—
262#13133210—21no—
263#13133208C2311yescharacteristic
264#13133207—21no—
265#13133206—21no—
266#13133206C2311yescharacteristic
267#13133204—21no—
268#13133204—21no—
269#13133204—21no—
270#13133204C2311yescharacteristic
271#13133204C2311yescharacteristic
272#13133203—21no—
273#13133203—21no—
274#13133202—21no—
275#13133202—21no—
276#13133202—21no—
277#13133202—21no—
278#13133201—21no—
279#13133200—21no—
280#13133200—21no—
281#13133199—21no—
282#13133199—21no—
283#13133199—21no—
284#13133198—21no—
285#13133198—21no—
286#13133198D411yescharacteristic
287#13133198D411yescharacteristic
288#13133197—21no—
289#13133196—21no—
290#13133196—21no—
291#13133196C2311yescharacteristic
292#13133196C2311yescharacteristic
293#13133195—21no—
294#13133193—21no—
295#13133193D411yescharacteristic
296#13133193D411yescharacteristic
297#13133193C2311yescharacteristic
298#13133192—21no—
299#13133192C2311yescharacteristic
300#13133192C2311yescharacteristic
301#13133191—21no—
302#13133191—21no—
303#13133191—21no—
304#13133191—21no—
305#13133191C2311yescharacteristic
306#13133191C2311yescharacteristic
307#13133191C2311yescharacteristic
308#13133191C2311yescharacteristic
309#13133191C2311yescharacteristic
310#13133191C2311yescharacteristic
311#13133190—21no—
312#13133190—21no—
313#13133189—21no—
314#13133189—21no—
315#13133189—21no—
316#13133189—21no—
317#13133189—21no—
318#13133189—21no—
319#13133189—21no—
320#13133189—21no—
321#13133189—21no—
322#13133189—21no—
323#13133188—21no—
324#13133188—21no—
325#13133188—21no—
326#13133188—21no—
327#13133188—21no—
328#13133188—21no—
329#13133188—21no—
330#13133188—21no—
331#13133188—21no—
332#13133188—21no—
333#13133188—21no—
334#13133188D411yescharacteristic
335#13133188D411yescharacteristic
336#13133188C2311yescharacteristic
337#13133188C2311yescharacteristic
338#13133188C2311yescharacteristic
339#13133188C2311yescharacteristic
340#13133188C2311yescharacteristic
341#13133187—21no—
342#13133187—21no—
343#13133187—21no—
344#13133186—21no—
345#13133186—21no—
346#13133186—21no—
347#13133186—21no—
348#13133186—21no—
349#13133186—21no—
350#13133185—21no—
351#13133185—21no—
352#13133185—21no—
353#13133185—21no—
354#13133185—21no—
355#13133185—21no—
356#13133185D411yescharacteristic
357#13133185D411yescharacteristic
358Q8×Dic53C2311yescharacteristic
359Q8×Dic53C2311yescharacteristic
360Q8×Dic53C2311yescharacteristic
361D4×Dic53—21no—
362D4×Dic53—21no—
363D4×Dic53C2311yescharacteristic
364D4×Dic53C2311yescharacteristic
365D4×Dic53C2311yescharacteristic
366#13133179—21no—
367#13133179C2311yescharacteristic
368#13133179C2311yescharacteristic
369C4×C22⋊D53—21no—
370C4×C22⋊D53—21no—
371C4×C22⋊D53—21no—
372C4×C22⋊D53—21no—
373C4×C22⋊D53—21no—
374C4×C22⋊D53—21no—
375C4×C22⋊D53C2311yescharacteristic
376C4×C22⋊D53C2311yescharacteristic
377C4×C22⋊D53C2311yescharacteristic
378C4×C22⋊D53C2311yescharacteristic
379#13133177—21no—
380#13133176—21no—
381#13133176C2311yescharacteristic
382#13133176C2311yescharacteristic
383#13133175—21no—
384#13133175C2311yescharacteristic
385#13133173—21no—
386C2×C4⋊Dic53—21no—
387C2×C4⋊Dic53C2311yescharacteristic
388C4⋊C4×D53C2311yescharacteristic
389C2×C22⋊Dic53—21no—
390C2×C22⋊Dic53—21no—
391C2×C22⋊Dic53—21no—
392C2×#11719921—21no—
393C22⋊C4×D53—21no—
394C22⋊C4×D53—21no—
395#13133151C2311yescharacteristic
396#13133151C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133150C2311yescharacteristic
401#13133149C2311yescharacteristic
402#13133149C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431C22⋊#88322C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434C22⋊#88322C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133127C2311yescharacteristic
440#13133127C2311yescharacteristic
441C8×Dic53C2311yescharacteristic
442C8×Dic53C2311yescharacteristic
443H(5,𝔽2)×C53—42no—
444H(5,𝔽2)×C53—42no—
445C2×#41×C53—21no—
446C2×#41×C53C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C2×#41×C53C2311yescharacteristic
449C2×#41×C53C2311yescharacteristic
450C2×#41×C53C2311yescharacteristic
451C22×D4×C53—21no—
452C22×D4×C53—21no—
453C22×D4×C53—21no—
454C22×D4×C53C2311yescharacteristic
455C22×D4×C53C2311yescharacteristic
456C22×D4×C53C2311yescharacteristic
457AGL(1,ℤ/8)×C53—42no—
458#135×C53—42no—
459C2×Q16×C53C2311yescharacteristic
460C2×SD16×C53C2311yescharacteristic
461C2×SD16×C53C2311yescharacteristic
462C2×SD16×C53C2311yescharacteristic
463C2×SD16×C53C2311yescharacteristic
464C2×D8×C53C2311yescharacteristic
465C2×D8×C53C2311yescharacteristic
466C2×D8×C53C2311yescharacteristic
467C2×M16×C53C2311yescharacteristic
468C22×C8×C53C2311yescharacteristic
469C22⋊Q8×C53—21no—
470C22⋊Q8×C53C2311yescharacteristic
471C22⋊Q8×C53C2311yescharacteristic
472#121×C53—21no—
473#121×C53—21no—
474#121×C53—21no—
475#121×C53C2311yescharacteristic
476#121×C53C2311yescharacteristic
477C2×C4⋊C4×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
488C22⋊C8×C53C2311yescharacteristic
489C22⋊C8×C53C2311yescharacteristic
490C24×C53—21no—
491C24×C53—21no—
492C24×C53—21no—
493C23×D53—21no—
494C23×D53—21no—
495C23×D53—21no—
496C23×D53C2×D411yescharacteristic
497#41×C53—22no—
498#41×C53—22no—
499#41×C53—22no—
500#41×C53—22no—
501#41×C53—41no—
502#41×C53—41no—
503#41×C53—41no—
504#41×C53—41no—
505#41×C53—44no—
506#41×C53—41no—
507#41×C53—41no—
508C2×Q8×C53C2×D411yescharacteristic
509C2×Q8×C53C2411yescharacteristic
510C2×Q8×C53C2411yescharacteristic
511C2×D4×C53—21no—
512C2×D4×C53—22no—
513C2×D4×C53—22no—
514C2×D4×C53—21no—
515C2×D4×C53—21no—
516C2×D4×C53—21no—
517C2×D4×C53—21no—
518C2×D4×C53—21no—
519C2×D4×C53—21no—
520C2×D4×C53—21no—
521C2×D4×C53—21no—
522C2×D4×C53—41no—
523C2×D4×C53—41no—
524C2×D4×C53—41no—
525C2×D4×C53—41no—
526C2×D4×C53—44no—
527C2×D4×C53—44no—
528C2×D4×C53—44no—
529C2×D4×C53C2×D411yescharacteristic
530C2×D4×C53C2×D411yescharacteristic
531C2×D4×C53C2×D411yescharacteristic
532C2×D4×C53C2411yescharacteristic
533C2×D4×C53C2411yescharacteristic
534C2×D4×C53C2411yescharacteristic
535C2×D4×C53C2411yescharacteristic
536C22×C4×C53—21no—
537C22×C4×C53—21no—
538C22×C4×C53—21no—
539C22×C4×C53—21no—
540C22×C4×C53—21no—
541C22×C4×C53C2411yescharacteristic
542C22×C4×C53C2411yescharacteristic
543C22×C4×C53C2411yescharacteristic
544C2×C22⋊D53—21no—
545C2×C22⋊D53—21no—
546C2×C22⋊D53—21no—
547C2×C22⋊D53—21no—
548C2×C22⋊D53—21no—
549C2×C22⋊D53—21no—
550C2×C22⋊D53—21no—
551C2×C22⋊D53—21no—
552C2×C22⋊D53—21no—
553C2×C22⋊D53—21no—
554C2×C22⋊D53—21no—
555C2×C22⋊D53—21no—
556C2×C22⋊D53—21no—
557C2×C22⋊D53—21no—
558C2×C22⋊D53—21no—
559C2×C22⋊D53—21no—
560C2×C22⋊D53—21no—
561C2×C22⋊D53—21no—
562C2×C22⋊D53—21no—
563C2×C22⋊D53—21no—
564C2×C22⋊D53—21no—
565C2×C22⋊D53—82no—
566C2×C22⋊D53—82no—
567C2×C22⋊D53—82no—
568C2×C22⋊D53C2×D411yescharacteristic
569C2×C22⋊D53C2×D411yescharacteristic
570C2×C22⋊D53C2×D411yescharacteristic
571C2×C22⋊D53C2×D411yescharacteristic
572C22×Dic53—21no—
573C22×Dic53—21no—
574C22×Dic53—21no—
575C22×Dic53—21no—
576C22×Dic53—21no—
577C22×Dic53C2×D411yescharacteristic
578#11719949—22no—
579#11719949—41no—
580#11719949—41no—
581#11719949—41no—
582Q8×D53—22no—
583Q8×D53—41no—
584#11719947—22no—
585#11719947—41no—
586#11719947—44no—
587D4×D53—22no—
588D4×D53—41no—
589D4×D53—41no—
590D4×D53—41no—
591D4×D53—44no—
592D4×D53—82no—
593D4×D53—82no—
594#11719945—41no—
595#11719945—41no—
596#11719945—44no—
597#11719945—82no—
598C2×D212—21no—
599C2×D212—21no—
600C2×D212—21no—
601C2×D212—21no—
602C2×D212—21no—
603C2×D212—41no—
604C2×D212—41no—
605C2×D212C2411yescharacteristic
606C2×D212C2411yescharacteristic
607C2×D212C2411yescharacteristic
608C2×C4×D53—21no—
609C2×C4×D53—21no—
610C2×C4×D53—21no—
611C2×C4×D53—21no—
612C2×C4×D53—21no—
613C2×C4×D53—21no—
614C2×C4×D53—21no—
615C2×C4×D53—41no—
616C2×C4×D53—41no—
617C2×C4×D53—44no—
618C2×C4×D53C2×D411yescharacteristic
619C2×C4×D53C2×D411yescharacteristic
620C2×C4×D53C2411yescharacteristic
621C2×C4×D53C2411yescharacteristic
622C2×Dic106—21no—
623C2×Dic106—21no—
624C2×Dic106C2411yescharacteristic
625Q16×C53—22no—
626SD16×C53—22no—
627SD16×C53—22no—
628SD16×C53—41no—
629SD16×C53—41no—
630D8×C53—22no—
631D8×C53—41no—
632D8×C53—41no—
633M16×C53—41no—
634C2×C8×C53—41no—
635C2×C8×C53C2411yescharacteristic
636C2×C8×C53C2411yescharacteristic
637C2×C8×C53C2411yescharacteristic
638C2×C8×C53C2411yescharacteristic
639C4⋊C4×C53—21no—
640C4⋊C4×C53—21no—
641C4⋊C4×C53—21no—
642C4⋊C4×C53C2411yescharacteristic
643C4⋊C4×C53C2411yescharacteristic
644C22⋊C4×C53—21no—
645C22⋊C4×C53—21no—
646C22⋊C4×C53—21no—
647C22⋊C4×C53—21no—
648C22⋊Dic53—21no—
649C22⋊Dic53—21no—
650C22⋊Dic53—21no—
651C22⋊Dic53—21no—
652C22⋊Dic53—21no—
653C22⋊Dic53—21no—
654C22⋊Dic53—21no—
655C22⋊Dic53—21no—
656C22⋊Dic53—21no—
657C22⋊Dic53—21no—
658C22⋊Dic53—21no—
659C22⋊Dic53—21no—
660C22⋊Dic53—21no—
661C22⋊Dic53—21no—
662C22⋊Dic53—21no—
663C22⋊Dic53C2×D411yescharacteristic
664C22⋊Dic53C2×D411yescharacteristic
665C22⋊Dic53C2×D411yescharacteristic
666C22⋊Dic53C2×D411yescharacteristic
667C22⋊Dic53C2×D411yescharacteristic
668C22⋊Dic53C2×D411yescharacteristic
669#11719925—41no—
670#11719924—22no—
671#11719924—22no—
672#11719924—41no—
673#11719923—41no—
674#11719922—22no—
675#11719922—22no—
676#11719922—41no—
677#11719922—41no—
678#11719922—41no—
679#11719922—41no—
680#11719922—41no—
681#11719921—21no—
682#11719921—21no—
683#11719921—21no—
684#11719921—21no—
685#11719921—21no—
686#11719921—21no—
687#11719921—21no—
688#11719921—21no—
689#11719921—21no—
690#11719921—21no—
691#11719921—21no—
692#11719921—21no—
693#11719921—21no—
694#11719921—21no—
695#11719921C2×D411yescharacteristic
696#11719921C2×D411yescharacteristic
697#11719921C2×D411yescharacteristic
698#11719921C2×D411yescharacteristic
699C4⋊Dic53—21no—
700C4⋊Dic53—21no—
701C4⋊Dic53—21no—
702C4⋊Dic53—21no—
703C4⋊Dic53—21no—
704C4⋊Dic53C2×D411yescharacteristic
705C4⋊Dic53C2×D411yescharacteristic
706C4⋊Dic53C2411yescharacteristic
707C4⋊Dic53C2411yescharacteristic
708C4⋊Dic53C2411yescharacteristic
709C4⋊Dic53C2411yescharacteristic
710#11719919—21no—
711#11719919—21no—
712#11719919—21no—
713#11719919—21no—
714#11719919—21no—
715#11719919—21no—
716#11719919C2×D411yescharacteristic
717#11719919C2×D411yescharacteristic
718#11719919C2×D411yescharacteristic
719#11719919C2×D411yescharacteristic
720C4×Dic53—21no—
721C4×Dic53—21no—
722C4×Dic53—21no—
723C4×Dic53—21no—
724C4×Dic53—21no—
725C4×Dic53C2411yescharacteristic
726C4×Dic53C2411yescharacteristic
727#11719917—41no—
728C2×#88322—41no—
729C2×#88322C2411yescharacteristic
730C2×#88322C2411yescharacteristic
731C2×#88322C2411yescharacteristic
732C2×#88322C2411yescharacteristic
733D424—41no—
734D424—41no—
735#11719913—41no—
736#11719913—41no—
737C8×D53—41no—
738C8×D53—41no—
739C8×D53—41no—
740C8×D53—41no—
741C23×C53—21no—
742C23×C53—21no—
743C23×C53—21no—
744C23×C53—21no—
745C23×C53—42no—
746C23×C53—42no—
747C23×C53—42no—
748C23×C53—81no—
749C23×C53—81no—
750C23×C53—81no—
751C23×C53—81no—
752C23×C53—81no—
753C23×C53—81no—
754C23×C53C22×D411yescharacteristic
755C23×C53C22×D411yescharacteristic
756C23×C53C22×D411yescharacteristic
757C22×D53—22no—
758C22×D53—21no—
759C22×D53—21no—
760C22×D53—21no—
761C22×D53—41no—
762C22×D53—41no—
763C22×D53—42no—
764C22×D53—42no—
765C22×D53—42no—
766C22×D53—81no—
767C22×D53—81no—
768C22×D53—81no—
769C22×D53—81no—
770C22×D53—81no—
771C22×D53—81no—
772C22×D53C22×D411yescharacteristic
773C22×D53C22×D411yescharacteristic
774Q8×C53—21no—
775Q8×C53—21no—
776Q8×C53—21no—
777Q8×C53—41no—
778Q8×C53H(5,𝔽2)12yes—
779D4×C53—24no—
780D4×C53—21no—
781D4×C53—21no—
782D4×C53—21no—
783D4×C53—21no—
784D4×C53—21no—
785D4×C53—21no—
786D4×C53—21no—
787D4×C53—41no—
788D4×C53—41no—
789D4×C53—41no—
790D4×C53—42no—
791D4×C53—42no—
792D4×C53—42no—
793D4×C53—42no—
794D4×C53—42no—
795D4×C53—81no—
796D4×C53—81no—
797D4×C53—81no—
798D4×C53H(5,𝔽2)12yes—
799C2×C4×C53—24no—
800C2×C4×C53—21no—
801C2×C4×C53—21no—
802C2×C4×C53—21no—
803C2×C4×C53—21no—
804C2×C4×C53—21no—
805C2×C4×C53—21no—
806C2×C4×C53—21no—
807C2×C4×C53—21no—
808C2×C4×C53—21no—
809C2×C4×C53—21no—
810C2×C4×C53—42no—
811C2×C4×C53—42no—
812C2×C4×C53—81no—
813C2×C4×C53—81no—
814C2×C4×C53C22×D411yescharacteristic
815C2×C4×C53C22×D411yescharacteristic
816C2×C4×C53C22×D411yescharacteristic
817C2×C4×C53C2511yescharacteristic
818C22⋊D53—22no—
819C22⋊D53—22no—
820C22⋊D53—41no—
821C22⋊D53—41no—
822C22⋊D53—42no—
823C22⋊D53—42no—
824C22⋊D53—42no—
825C22⋊D53—42no—
826C22⋊D53—42no—
827C22⋊D53—81no—
828C22⋊D53—81no—
829C22⋊D53—81no—
830C22⋊D53—81no—
831C22⋊D53—81no—
832C22⋊D53—81no—
833C22⋊D53—81no—
834C22⋊D53—81no—
835C22⋊D53—81no—
836C22⋊D53—81no—
837C22⋊D53—81no—
838C22⋊D53—81no—
839C22⋊D53—81no—
840C22⋊D53—81no—
841C22⋊D53—81no—
842C22⋊D53—81no—
843C2×Dic53—21no—
844C2×Dic53—21no—
845C2×Dic53—21no—
846C2×Dic53—21no—
847C2×Dic53—21no—
848C2×Dic53—41no—
849C2×Dic53—42no—
850C2×Dic53—81no—
851C2×Dic53—81no—
852C2×Dic53—81no—
853C2×Dic53—81no—
854C2×Dic53C22×D411yescharacteristic
855C2×Dic53C22×D411yescharacteristic
856C2×Dic53C22×D411yescharacteristic
857C2×Dic53C22×D411yescharacteristic
858C2×Dic53C22×D411yescharacteristic
859C2×Dic53C22×D411yescharacteristic
860D212—21no—
861D212—21no—
862D212—21no—
863D212—21no—
864D212—21no—
865D212—21no—
866D212—42no—
867D212—42no—
868D212—81no—
869D212—81no—
870D212—81no—
871C4×D53—21no—
872C4×D53—21no—
873C4×D53—21no—
874C4×D53—21no—
875C4×D53—41no—
876C4×D53—41no—
877C4×D53—42no—
878C4×D53—42no—
879C4×D53—42no—
880C4×D53—42no—
881C4×D53—81no—
882C4×D53—81no—
883C4×D53—81no—
884Dic106—21no—
885Dic106—21no—
886Dic106—42no—
887Dic106—81no—
888C8×C53—21no—
889C8×C53—21no—
890C8×C53—21no—
891C8×C53—21no—
892#88322—21no—
893#88322—21no—
894#88322—21no—
895#88322—21no—
896#61639—531nomaximal, Sylow
897C22×C53—21no—
898C22×C53—21no—
899C22×C53—21no—
900C22×C53—21no—
901C22×C53—22no—
902C22×C53—21no—
903C22×C53—21no—
904C22×C53—21no—
905C22×C53—21no—
906C22×C53—21no—
907C22×C53—41no—
908C22×C53—41no—
909C22×C53—41no—
910C22×C53—41no—
911C22×C53—41no—
912C22×C53—41no—
913C22×C53—41no—
914C22×C53—41no—
915C22×C53—41no—
916C22×C53—41no—
917C22×C53—41no—
918C22×C53—162no—
919C22×C53—162no—
920C22×C53—162no—
921C22×C53C23×D411yescharacteristic
922C2×D53—21no—
923C2×D53—21no—
924C2×D53—21no—
925C2×D53—21no—
926C2×D53—21no—
927C2×D53—41no—
928C2×D53—41no—
929C2×D53—41no—
930C2×D53—41no—
931C2×D53—41no—
932C2×D53—41no—
933C2×D53—41no—
934C2×D53—41no—
935C2×D53—41no—
936C2×D53—82no—
937C2×D53—84no—
938C2×D53—162no—
939C2×D53—162no—
940C2×D53#57612yes—
941C4×C53—22no—
942C4×C53—21no—
943C4×C53—21no—
944C4×C53—21no—
945C4×C53—41no—
946C4×C53—41no—
947C4×C53—41no—
948C4×C53C2×H(5,𝔽2)11yescharacteristic
949C4×C53C2×H(5,𝔽2)11yescharacteristic
950Dic53—21no—
951Dic53—21no—
952Dic53—21no—
953Dic53—21no—
954Dic53—21no—
955Dic53—21no—
956Dic53—41no—
957Dic53—41no—
958Dic53—41no—
959Dic53—41no—
960Dic53—41no—
961#3542—531no—
962#3488—531no—
963#3319—531no—
964#3310—531no—
965#3309—531no—
966#3308—531no—
967#3305—531no—
968#3300—531no—
969#3297—531no—
970#3294—531no—
971#3287—531no—
972#3282—531no—
973#3280—531no—
974D4×D8—531no—
975#3268—531no—
976#3268—531no—
977#3265—531no—
978#3264—531no—
979#3224—531no—
980#3220—531no—
981#3203—531no—
982#3198—531no—
983#3188—531no—
984#3186—531no—
985#3124—531no—
986#3119—531no—
987#3012D5311yescharacteristic, complemented
988#3008—531no—
989#3002—531no—
990C2×#449—531no—
991#2977—531no—
992C2×C53—41no—
993C2×C53—42no—
994C2×C53—41no—
995C2×C53—41no—
996C2×C53—81no—
997C2×C53—81no—
998C2×C53—81no—
999C2×C53#348411yescharacteristic
1000C2×C53C2×#57611yescharacteristic
1001C2×C53#358411yescharacteristic
1002D53—22no—
1003D53—41no—
1004D53—81no—
1005D53—81no—
1006D53—81no—
1007C2×H(5,𝔽2)C2×D5311yescharacteristic, complemented
1008C22×#41—531no—
1009C2×AGL(1,ℤ/8)—531no—
1010C2×AGL(1,ℤ/8)C2×D5311yescharacteristic, complemented
1011C2×#135—531no—
1012C2×#135—531no—
1013C2×#135C2×D5311yescharacteristic, complemented
1014C22×SD16—531no—
1015C22×D8—531no—
1016C22×D8—531no—
1017#562—1061no—
1018#560—1061no—
1019#555—531no—
1020#553—531no—
1021#552—531no—
1022#551—1061no—
1023#550—531no—
1024#550—531no—
1025#550—531no—
1026#548—531no—
1027#548—531no—
1028#547—531no—
1029#546—531no—
1030#546—531no—
1031#546—531no—
1032#546—531no—
1033#546—1061no—
1034#546—1061no—
1035#546—1061no—
1036D42—531no—
1037D42—531no—
1038D42—531no—
1039D42—1061no—
1040D42—1061no—
1041#542—531no—
1042#540—531no—
1043#540—1061no—
1044#538—1061no—
1045#537—531no—
1046#537—1061no—
1047#537C2×D5311yescharacteristic, complemented
1048#535—531no—
1049#535—531no—
1050#535—1061no—
1051#535—1061no—
1052#534—1061no—
1053#525—531no—
1054#525—531no—
1055#525—1061no—
1056C2×#121—531no—
1057C2×#121—531no—
1058C2×#121—1061no—
1059#520—531no—
1060#496—531no—
1061#496—531no—
1062#495—531no—
1063#493—531no—
1064#490—531no—
1065#489—531no—
1066#488—531no—
1067#486—531no—
1068#485—531no—
1069#484—531no—
1070#484—531no—
1071#482—531no—
1072#482—531no—
1073#482—531no—
1074#481—531no—
1075#480—531no—
1076#480—531no—
1077#480—531no—
1078#480—531no—
1079#480—531no—
1080#479—531no—
1081#478—531no—
1082#477—531no—
1083#474—531no—
1084#469—531no—
1085#468—531no—
1086#468—531no—
1087#468—531no—
1088#467—531no—
1089#466—531no—
1090#466—531no—
1091#466—531no—
1092#466—531no—
1093#466—531no—
1094#466—531no—
1095#466—531no—
1096#466—531no—
1097#465—531no—
1098#465—531no—
1099#465—531no—
1100#464—531no—
1101#464—531no—
1102#463—531no—
1103#463—531no—
1104#463—531no—
1105#463—531no—
1106#460—531no—
1107#460—531no—
1108#459—531no—
1109#459—531no—
1110#459—531no—
1111#459—531no—
1112#452—531no—
1113#452—531no—
1114#452C2×D5311yescharacteristic, complemented
1115#452C2×D5311yescharacteristic, complemented
1116#451—531no—
1117#450—531no—
1118#450—531no—
1119#450C2×D5311yescharacteristic, complemented
1120#450C2×D5311yescharacteristic, complemented
1121#449—531no—
1122#449—531no—
1123#449—531no—
1124#449—531no—
1125#449—531no—
1126#449—531no—
1127#449—531no—
1128#449—531no—
1129#449—531no—
1130#449—531no—
1131#449—531no—
1132#449—531no—
1133#449—531no—
1134#449—531no—
1135#449C2×D5311yescharacteristic, complemented
1136#449C2×D5311yescharacteristic, complemented
1137#448—531no—
1138#447—531no—
1139#447—531no—
1140#447—531no—
1141#447—531no—
1142#447—531no—
1143#447—531no—
1144#447—531no—
1145#447—531no—
1146#447C2×D5311yescharacteristic, complemented
1147#447C2×D5311yescharacteristic, complemented
1148#442—531no—
1149#440—531no—
1150#440—531no—
1151#440—531no—
1152C4×Q16—531no—
1153C4×SD16—531no—
1154C4×D8—531no—
1155C4×D8—531no—
1156#435—531no—
1157#435—531no—
1158#435—531no—
1159#435—531no—
1160C8×D4—531no—
1161C8×D4—531no—
1162C8×D4—531no—
1163C8×D4—531no—
1164#433—531no—
1165#433—531no—
1166#418—531no—
1167#417C2×D5311yescharacteristic, complemented
1168#416—531no—
1169#416—531no—
1170#416—531no—
1171C2×#103—531no—
1172C2×#102—531no—
1173C2×#102C2×D5311yescharacteristic, complemented
1174#408—531no—
1175#408C2×D5311yescharacteristic, complemented
1176C2×C22⋊C8—531no—
1177C2×C22⋊C8—531no—
1178C53#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—42no—
1180H(5,𝔽2)—42no—
1181C2×#41—21no—
1182C2×#41—531no—
1183C2×#41—531no—
1184C2×#41—531no—
1185C2×#41—531no—
1186C2×#41—1061no—
1187C2×#41—1061no—
1188C2×#41—1061no—
1189C2×#41—2122no—
1190C2×#41—2122no—
1191C2×#41C22×D5311yescharacteristic
1192C2×#41C22×D5311yescharacteristic
1193C2×#41C22×D5311yescharacteristic
1194C2×#41C22×D5311yescharacteristic
1195C2×#41C22×D5311yescharacteristic
1196C22×Q8—531no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—531no—
1201C22×D4—531no—
1202C22×D4—531no—
1203C22×D4—1061no—
1204C22×D4—1061no—
1205C22×D4—1061no—
1206C22×D4—1061no—
1207C22×D4—1061no—
1208C22×D4—1061no—
1209C22×D4C22×D5311yescharacteristic
1210C22×D4C22×D5311yescharacteristic
1211C22×D4C22×D5311yescharacteristic
1212C23×C4—531no—
1213C23×C4—1061no—
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—2122no—
1216#135—42no—
1217#135—2122no—
1218#135—2122no—
1219C2×Q16—531no—
1220C2×Q16C22×D5311yescharacteristic
1221C2×SD16—531no—
1222C2×SD16—531no—
1223C2×SD16—531no—
1224C2×SD16—531no—
1225C2×SD16—531no—
1226C2×SD16—531no—
1227C2×SD16—2122no—
1228C2×SD16C22×D5311yescharacteristic
1229C2×SD16C22×D5311yescharacteristic
1230C2×SD16C22×D5311yescharacteristic
1231C2×SD16C22×D5311yescharacteristic
1232C2×D8—531no—
1233C2×D8—531no—
1234C2×D8—531no—
1235C2×D8—531no—
1236C2×D8—531no—
1237C2×D8—531no—
1238C2×D8—531no—
1239C2×D8—531no—
1240C2×D8—531no—
1241C2×D8—2122no—
1242C2×D8—2122no—
1243C2×D8C22×D5311yescharacteristic
1244C2×D8C22×D5311yescharacteristic
1245C2×D8C22×D5311yescharacteristic
1246C2×M16—531no—
1247C2×M16C22×D5311yescharacteristic
1248C22×C8—531no—
1249C22×C8—531no—
1250C22×C8—531no—
1251C22×C8—531no—
1252C22×C8—531no—
1253C22×C8C22×D5311yescharacteristic
1254C4⋊Q8—531no—
1255#127—531no—
1256#127—531no—
1257#127—531no—
1258#127—1061no—
1259#127—1061no—
1260#127—1061no—
1261#127—1061no—
1262#126—1061no—
1263#126—1061no—
1264#126—1061no—
1265#125—531no—
1266#125—1061no—
1267#124—531no—
1268#124—531no—
1269#124—531no—
1270#124—1061no—
1271#124—1061no—
1272#124—1061no—
1273#124—1061no—
1274#124—1061no—
1275#124—1061no—
1276#123—531no—
1277#123—531no—
1278#123—1061no—
1279#123—1061no—
1280#123—1061no—
1281#123—1061no—
1282#123—1061no—
1283#123—1061no—
1284#123—1061no—
1285#123—1061no—
1286#123—1061no—
1287#123—1061no—
1288#123—1061no—
1289#123—1061no—
1290C22⋊Q8—21no—
1291C22⋊Q8—531no—
1292C22⋊Q8—531no—
1293C22⋊Q8—531no—
1294C22⋊Q8—531no—
1295C22⋊Q8—531no—
1296C22⋊Q8—1061no—
1297C22⋊Q8—1061no—
1298C22⋊Q8—1061no—
1299C22⋊Q8—1061no—
1300C22⋊Q8—1061no—
1301C22⋊Q8C22×D5311yescharacteristic
1302C22⋊Q8C22×D5311yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—531no—
1307#121—531no—
1308#121—531no—
1309#121—531no—
1310#121—531no—
1311#121—531no—
1312#121—531no—
1313#121—531no—
1314#121—531no—
1315#121—531no—
1316#121—531no—
1317#121—531no—
1318#121—531no—
1319#121—531no—
1320#121—531no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121—1061no—
1326#121—1061no—
1327#121—1061no—
1328#121—1061no—
1329#121—1061no—
1330#121—1061no—
1331#121—1061no—
1332#121—1061no—
1333#121—1061no—
1334#121—1061no—
1335#121—1061no—
1336#121—1061no—
1337#121—1061no—
1338#121—1061no—
1339#121—1061no—
1340#121—1061no—
1341#121—1061no—
1342#121—1061no—
1343#121—1061no—
1344#121—1061no—
1345#121—1061no—
1346#121—1061no—
1347#121—1061no—
1348#121—1061no—
1349#121C22×D5311yescharacteristic
1350#121C22×D5311yescharacteristic
1351#120—531no—
1352#120—531no—
1353#120—1061no—
1354#120—1061no—
1355#120—1061no—
1356#120—1061no—
1357#120—1061no—
1358#120—1061no—
1359#120—1061no—
1360#120—1061no—
1361#120—1061no—
1362#120—1061no—
1363#120—1061no—
1364#120—1061no—
1365#120—1061no—
1366#120—1061no—
1367#120—1061no—
1368C4×Q8—531no—
1369C4×Q8—531no—
1370C4×Q8—531no—
1371C4×D4—531no—
1372C4×D4—531no—
1373C4×D4—531no—
1374C4×D4—531no—
1375C4×D4—531no—
1376C4×D4—531no—
1377C4×D4—531no—
1378C4×D4—531no—
1379C4×D4—531no—
1380C4×D4—1061no—
1381C4×D4—1061no—
1382C4×D4—1061no—
1383C4×D4—1061no—
1384C4×D4—1061no—
1385C4×D4—1061no—
1386C4×D4—1061no—
1387C4×D4—1061no—
1388C4×D4—1061no—
1389C4×D4—1061no—
1390#117—531no—
1391#117—531no—
1392#117—531no—
1393#117—1061no—
1394#117—1061no—
1395#117—1061no—
1396C2×C4⋊C4—531no—
1397C2×C4⋊C4—531no—
1398C2×C4⋊C4—1061no—
1399C2×C4⋊C4C22×D5311yescharacteristic
1400C2×C22⋊C4—1061no—
1401C2×C22⋊C4—1061no—
1402C2×C22⋊C4—1061no—
1403C2×C22⋊C4—1061no—
1404C2×C22⋊C4—1061no—
1405C2×C22⋊C4—1061no—
1406#107—531no—
1407#107—531no—
1408#107—531no—
1409#107—531no—
1410#107—531no—
1411#107—531no—
1412#106—531no—
1413#106—531no—
1414C4⋊C8—531no—
1415C4⋊C8—531no—
1416C4⋊C8—531no—
1417C4⋊C8—531no—
1418#103—531no—
1419#103—531no—
1420#103—531no—
1421#103—531no—
1422#103—531no—
1423#103—531no—
1424#103—531no—
1425#103—531no—
1426#103C22×D5311yescharacteristic
1427#103C22×D5311yescharacteristic
1428#102—531no—
1429#102—531no—
1430#102—531no—
1431#102—531no—
1432#102—531no—
1433#102—531no—
1434#102—531no—
1435#102—531no—
1436#102—531no—
1437#102—531no—
1438#102—531no—
1439#102—531no—
1440#102—531no—
1441#102—531no—
1442#102—531no—
1443#102—531no—
1444#102C22×D5311yescharacteristic
1445#102C22×D5311yescharacteristic
1446#102C22×D5311yescharacteristic
1447#102C22×D5311yescharacteristic
1448#102C22×D5311yescharacteristic
1449#102C22×D5311yescharacteristic
1450C22⋊C8—531no—
1451C22⋊C8—531no—
1452C22⋊C8—531no—
1453C22⋊C8—531no—
1454C22⋊C8—531no—
1455C22⋊C8—531no—
1456C22⋊C8—531no—
1457C22⋊C8—531no—
1458C22⋊C8C22×D5311yescharacteristic
1459C22⋊C8C22×D5311yescharacteristic
1460C22⋊C8C22×D5311yescharacteristic
1461C22⋊C8C22×D5311yescharacteristic
1462#97—531no—
1463#97—531no—
1464C4×C8—531no—
1465C4×C8—531no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—531no—
1470C24—1061no—
1471C24—1061no—
1472C24—1061no—
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—41no—
1483#41—41no—
1484#41—1062no—
1485#41—1062no—
1486#41—4242no—
1487#41—2121no—
1488#41—2121no—
1489#41—2124no—
1490#41—2121no—
1491#41—2121no—
1492#41—2121no—
1493#41—2121no—
1494#41—2124no—
1495C2×Q8—531no—
1496C2×Q8—1061no—
1497C2×Q8—1061no—
1498C2×Q8—1062no—
1499C2×Q8—2121no—
1500C2×Q8D4×D5311yescharacteristic
1501C2×Q8C23×D5311yescharacteristic
1502C2×Q8C23×D5311yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—41no—
1517C2×D4—41no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—44no—
1521C2×D4—531no—
1522C2×D4—531no—
1523C2×D4—531no—
1524C2×D4—531no—
1525C2×D4—531no—
1526C2×D4—531no—
1527C2×D4—531no—
1528C2×D4—1061no—
1529C2×D4—1061no—
1530C2×D4—1061no—
1531C2×D4—1061no—
1532C2×D4—1061no—
1533C2×D4—1061no—
1534C2×D4—1061no—
1535C2×D4—1061no—
1536C2×D4—1061no—
1537C2×D4—1061no—
1538C2×D4—1061no—
1539C2×D4—1061no—
1540C2×D4—1062no—
1541C2×D4—1061no—
1542C2×D4—1061no—
1543C2×D4—1061no—
1544C2×D4—1061no—
1545C2×D4—1061no—
1546C2×D4—1061no—
1547C2×D4—1061no—
1548C2×D4—1061no—
1549C2×D4—1061no—
1550C2×D4—1061no—
1551C2×D4—1061no—
1552C2×D4—1061no—
1553C2×D4—1061no—
1554C2×D4—1061no—
1555C2×D4—4242no—
1556C2×D4—4242no—
1557C2×D4—4242no—
1558C2×D4—4242no—
1559C2×D4—4242no—
1560C2×D4—2121no—
1561C2×D4—2121no—
1562C2×D4—2121no—
1563C2×D4—2121no—
1564C2×D4—2121no—
1565C2×D4—2124no—
1566C2×D4D4×D5311yescharacteristic
1567C2×D4D4×D5311yescharacteristic
1568C2×D4D4×D5311yescharacteristic
1569C2×D4C23×D5311yescharacteristic
1570C2×D4C23×D5311yescharacteristic
1571C2×D4C23×D5311yescharacteristic
1572C2×D4C23×D5311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—531no—
1579C22×C4—531no—
1580C22×C4—531no—
1581C22×C4—531no—
1582C22×C4—531no—
1583C22×C4—1061no—
1584C22×C4—1061no—
1585C22×C4—1061no—
1586C22×C4—1061no—
1587C22×C4—1061no—
1588C22×C4—1061no—
1589C22×C4—1061no—
1590C22×C4—1061no—
1591C22×C4—1061no—
1592C22×C4—1061no—
1593C22×C4—1061no—
1594C22×C4—1061no—
1595C22×C4—2121no—
1596C22×C4—2121no—
1597C22×C4—2124no—
1598C22×C4C23×D5311yescharacteristic
1599C22×C4C23×D5311yescharacteristic
1600C22×C4C23×D5311yescharacteristic
1601Q16—22no—
1602Q16—2121no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—1062no—
1608SD16—1062no—
1609SD16—2121no—
1610SD16—2121no—
1611SD16—2121no—
1612SD16—2121no—
1613D8—22no—
1614D8—41no—
1615D8—41no—
1616D8—1062no—
1617D8—1062no—
1618D8—2121no—
1619D8—2121no—
1620D8—2121no—
1621D8—2121no—
1622D8—2121no—
1623D8—2121no—
1624D8—2121no—
1625M16—41no—
1626M16—2121no—
1627C2×C8—41no—
1628C2×C8—531no—
1629C2×C8—531no—
1630C2×C8—531no—
1631C2×C8—531no—
1632C2×C8—2121no—
1633C2×C8—2121no—
1634C2×C8—2121no—
1635C2×C8—2121no—
1636C2×C8—2121no—
1637C2×C8C23×D5311yescharacteristic
1638C2×C8C23×D5311yescharacteristic
1639C2×C8C23×D5311yescharacteristic
1640C2×C8C23×D5311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—531no—
1645C4⋊C4—531no—
1646C4⋊C4—531no—
1647C4⋊C4—531no—
1648C4⋊C4—531no—
1649C4⋊C4—531no—
1650C4⋊C4—531no—
1651C4⋊C4—531no—
1652C4⋊C4—531no—
1653C4⋊C4—531no—
1654C4⋊C4—1061no—
1655C4⋊C4—1061no—
1656C4⋊C4—1061no—
1657C4⋊C4—1061no—
1658C4⋊C4—1061no—
1659C4⋊C4—1061no—
1660C4⋊C4—1061no—
1661C4⋊C4—1061no—
1662C4⋊C4—1061no—
1663C4⋊C4—1061no—
1664C4⋊C4—1061no—
1665C4⋊C4C23×D5311yescharacteristic
1666C4⋊C4C23×D5311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—531no—
1672C22⋊C4—531no—
1673C22⋊C4—531no—
1674C22⋊C4—531no—
1675C22⋊C4—531no—
1676C22⋊C4—531no—
1677C22⋊C4—531no—
1678C22⋊C4—531no—
1679C22⋊C4—531no—
1680C22⋊C4—531no—
1681C22⋊C4—1061no—
1682C22⋊C4—1061no—
1683C22⋊C4—1061no—
1684C22⋊C4—1061no—
1685C22⋊C4—1061no—
1686C22⋊C4—1061no—
1687C22⋊C4—1061no—
1688C22⋊C4—1061no—
1689C22⋊C4—1061no—
1690C22⋊C4—1061no—
1691C22⋊C4—1061no—
1692C22⋊C4—1061no—
1693C22⋊C4—1061no—
1694C22⋊C4—1061no—
1695C22⋊C4—1061no—
1696C22⋊C4—1061no—
1697C22⋊C4—1061no—
1698C22⋊C4—1061no—
1699C22⋊C4—1061no—
1700C22⋊C4—1061no—
1701C22⋊C4—1061no—
1702C22⋊C4—1061no—
1703C22⋊C4—1061no—
1704C22⋊C4—1061no—
1705C22⋊C4—1061no—
1706C22⋊C4—1061no—
1707C22⋊C4—1061no—
1708C22⋊C4—1061no—
1709C22⋊C4—1061no—
1710C42—531no—
1711C42—531no—
1712C42—1061no—
1713C42—1061no—
1714C42—1061no—
1715C42—1061no—
1716C42—1061no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—531no—
1731C23—531no—
1732C23—1062no—
1733C23—1061no—
1734C23—1061no—
1735C23—1061no—
1736C23—4241no—
1737C23—4241no—
1738C23—4241no—
1739C23—4241no—
1740C23—4241no—
1741C23—4241no—
1742C23—2121no—
1743C23—2121no—
1744C23—2122no—
1745C23—2122no—
1746C23—2122no—
1747C23C2×D4×D5311yescharacteristic
1748C23C2×D4×D5311yescharacteristic
1749C23C2×D4×D5311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—41no—
1754Q8—1061no—
1755Q8—1061no—
1756Q8—4241no—
1757Q8—2122no—
1758Q8#1313326212yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—42no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—1062no—
1779D4—1062no—
1780D4—1061no—
1781D4—1061no—
1782D4—1061no—
1783D4—1061no—
1784D4—1061no—
1785D4—1061no—
1786D4—4241no—
1787D4—4241no—
1788D4—4241no—
1789D4—4241no—
1790D4—4241no—
1791D4—4241no—
1792D4—4241no—
1793D4—4241no—
1794D4—4241no—
1795D4—4241no—
1796D4—4241no—
1797D4—4241no—
1798D4—4241no—
1799D4—4241no—
1800D4—4241no—
1801D4—4241no—
1802D4—4241no—
1803D4—4241no—
1804D4—4241no—
1805D4—2122no—
1806D4—2122no—
1807D4—2121no—
1808D4—2121no—
1809D4—2122no—
1810D4—2122no—
1811D4—2122no—
1812D4—2122no—
1813D4—2122no—
1814D4#1313326212yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—42no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—531no—
1831C2×C4—531no—
1832C2×C4—531no—
1833C2×C4—531no—
1834C2×C4—531no—
1835C2×C4—531no—
1836C2×C4—1061no—
1837C2×C4—1061no—
1838C2×C4—1061no—
1839C2×C4—1061no—
1840C2×C4—1061no—
1841C2×C4—1061no—
1842C2×C4—1061no—
1843C2×C4—1061no—
1844C2×C4—1061no—
1845C2×C4—4241no—
1846C2×C4—4241no—
1847C2×C4—4241no—
1848C2×C4—4241no—
1849C2×C4—4241no—
1850C2×C4—4241no—
1851C2×C4—4241no—
1852C2×C4—2121no—
1853C2×C4—2121no—
1854C2×C4—2122no—
1855C2×C4—2122no—
1856C2×C4—2122no—
1857C2×C4—2122no—
1858C2×C4—2121no—
1859C2×C4—2122no—
1860C2×C4C2×D4×D5311yescharacteristic
1861C2×C4C2×D4×D5311yescharacteristic
1862C2×C4C2×D4×D5311yescharacteristic
1863C2×C4C24×D5311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1061no—
1869C8—1061no—
1870C8—1061no—
1871C8—1061no—
1872C22—21no—
1873C22—22no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—162no—
1894C22—162no—
1895C22—162no—
1896C22—532no—
1897C22—8482no—
1898C22—8482no—
1899C22—1061no—
1900C22—1061no—
1901C22—1061no—
1902C22—1061no—
1903C22—1061no—
1904C22—4244no—
1905C22—4242no—
1906C22—2121no—
1907C22—2121no—
1908C22—2121no—
1909C22—2121no—
1910C22—2121no—
1911C22—2121no—
1912C22—2121no—
1913C22—2121no—
1914C22—2121no—
1915C22C22×D4×D5311yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—1061no—
1924C4—1061no—
1925C4—1061no—
1926C4—1061no—
1927C4—1061no—
1928C4—1061no—
1929C4—2121no—
1930C4—2121no—
1931C4—2121no—
1932C4—2121no—
1933C4—2121no—
1934C4C2×#1313326211yescharacteristic
1935C4C2×#1313326211yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—41no—
1939C2—42no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—1062no—
1944C2—4241no—
1945C2—4241no—
1946C2—4241no—
1947C2—2121no—
1948C2#2028834411yescharacteristic
1949C2#576×D5311yescharacteristic
1950C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3012C2
socleC22×C53C23×D4
hypercenter#3012D53
hypocenterC53#61639
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #20289019C2semidirect
2. #20288377C2semidirect
3. #20286864C2semidirect
4. #20286729C2semidirect
5. #20286722C2semidirect
6. #20286707C2semidirect
7. #20286658C2semidirect
8. #20286595C2semidirect
9. #20286561C2semidirect
10. #20286524C2semidirect
11. #20286469C2semidirect
12. #20286416C2semidirect
13. #20286393C2semidirect
14. #20286385C2semidirect
15. #20286258C2semidirect
16. #20286249C2semidirect
17. #20286213C2semidirect
18. #20286189C2semidirect
19. #20285813C2semidirect
20. #20285761C2semidirect
21. #20285612C2semidirect
22. #20285569C2semidirect
23. #20285483C2semidirect
24. #20285464C2semidirect
25. #20284978C2semidirect
26. #20284915C2semidirect
27. #20283983C2semidirect
28. #20283936C2semidirect
29. #449×D53C2semidirect
30. #20283767C2semidirect
31. C53×#3012C2semidirect
32. C2×#41×D53C22semidirect
33. C2×#13133242C22semidirect
34. C2×#13133240C22semidirect
35. C2×#13133238C22semidirect
36. C2×SD16×D53C22semidirect
37. C22×#11719922C22semidirect
38. C2×D8×D53C22semidirect
41. #16811337C22semidirect
42. #16811321C22semidirect
43. #16811307C22semidirect
45. #16811292C22semidirect
46. #16811292C22semidirect
47. #16811292C22semidirect
49. #16811280C22semidirect
50. #16811274C22semidirect
54. #16811267C22semidirect
55. #16811267C22semidirect
56. #16811264C22semidirect
57. #16811261C22semidirect
58. #16811257C22semidirect
62. D4×C22⋊D53C22semidirect
63. #16811246C22semidirect
64. #16811226C22semidirect
68. #16811201C22semidirect
70. #16811190C22semidirect
72. #16811187C22semidirect
74. #16811136C22semidirect
78. C2×#13133188C22semidirect
79. #121×D53C22semidirect
80. #16811106C22semidirect
81. #16811011C22semidirect
82. #16811009C22semidirect
83. #16811004C22semidirect
84. #16810998C22semidirect
85. #16810986C22semidirect
86. #16810981C22semidirect
87. #16810976C22semidirect
88. #16810968C22semidirect
89. #16810965C22semidirect
90. #16810958C22semidirect
91. #16810956C22semidirect
92. #16810948C22semidirect
93. #16810946C22semidirect
94. #16810946C22semidirect
95. #16810942C22semidirect
96. #16810937C22semidirect
97. #16810936C22semidirect
98. #16810935C22semidirect
99. #16810935C22semidirect
100. #16810934C22semidirect
101. #16810928C22semidirect
102. #16810925C22semidirect
103. #16810916C22semidirect
104. #16810901C22semidirect
105. #16810876C22semidirect
106. #16810871C22semidirect
107. #16810869C22semidirect
108. #16810867C22semidirect
109. #16810862C22semidirect
110. #16810859C22semidirect
111. #16810858C22semidirect
112. #16810858C22semidirect
113. #16810858C22semidirect
114. #16810858C22semidirect
115. #16810857C22semidirect
116. #16810856C22semidirect
117. #16810856C22semidirect
118. #16810852C22semidirect
119. #16810849C22semidirect
120. #16810849C22semidirect
121. #16810847C22semidirect
122. #16810843C22semidirect
123. #16810840C22semidirect
124. #16810837C22semidirect
125. #16810837C22semidirect
126. #16810836C22semidirect
127. #16810821C22semidirect
128. #16810821C22semidirect
129. #16810817C22semidirect
130. #16810817C22semidirect
131. #16810816C22semidirect
132. #16810816C22semidirect
133. #16810785C22semidirect
134. #16810783C22semidirect
135. #16810777C22semidirect
136. #16810776C22semidirect
137. #16810772C22semidirect
138. #16810771C22semidirect
139. #16810770C22semidirect
140. #16810770C22semidirect
141. #16810769C22semidirect
143. #16810768C22semidirect
144. #16810768C22semidirect
145. #16810768C22semidirect
146. #16810768C22semidirect
147. #16810767C22semidirect
148. #16810767C22semidirect
149. #16810767C22semidirect
150. #16810766C22semidirect
151. #16810765C22semidirect
152. #16810763C22semidirect
153. #16810759C22semidirect
154. #16810758C22semidirect
155. #16810757C22semidirect
156. #16810757C22semidirect
157. #16810757C22semidirect
158. #16810757C22semidirect
159. #16810755C22semidirect
160. #16810755C22semidirect
161. #16810735C22semidirect
162. #16810726C22semidirect
163. #16810726C22semidirect
164. #16810724C22semidirect
165. Q16×Dic53C22semidirect
166. SD16×Dic53C22semidirect
167. #16810703C22semidirect
168. #16810703C22semidirect
169. #16810697C22semidirect
170. #16810697C22semidirect
171. #16810692C22semidirect
172. #16810692C22semidirect
173. C8×C22⋊D53C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810686C22semidirect
176. #16810686C22semidirect
177. #16810681C22semidirect
178. #16810681C22semidirect
179. #16810628C22semidirect
180. #16810619C22semidirect
181. #16810618C22semidirect
182. #16810616C22semidirect
183. #103×D53C22semidirect
184. #102×D53C22semidirect
185. #16810590C22semidirect
186. C22⋊C8×D53C22semidirect
187. C22⋊C8×D53C22semidirect
188. C2×H(5,𝔽2)×C53C22semidirect
189. C2×AGL(1,ℤ/8)×C53C22semidirect
190. C2×#135×C53C22semidirect
191. C53×#537C22semidirect
192. C53×#452C22semidirect
193. C53×#452C22semidirect
194. C53×#450C22semidirect
195. C53×#450C22semidirect
196. C53×#449C22semidirect
197. C53×#449C22semidirect
198. C53×#447C22semidirect
199. C53×#447C22semidirect
200. C53×#417C22semidirect
201. C2×#102×C53C22semidirect
202. C53×#408C22semidirect
987. #3012D53semidirect
1007. C2×H(5,𝔽2)C2×D53semidirect
1010. C2×AGL(1,ℤ/8)C2×D53semidirect
1013. C2×#135C2×D53semidirect
1047. #537C2×D53semidirect
1114. #452C2×D53semidirect
1115. #452C2×D53semidirect
1119. #450C2×D53semidirect
1120. #450C2×D53semidirect
1135. #449C2×D53semidirect
1136. #449C2×D53semidirect
1146. #447C2×D53semidirect
1147. #447C2×D53semidirect
1167. #417C2×D53semidirect
1173. C2×#102C2×D53semidirect
1175. #408C2×D53semidirect
1178. C53#61639semidirect

Maximal subgroups

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

subgroupindex
#202890192
#202883772
#202868642
#202867292
#202867222
#202867072
#202866582
#202865952
#202865612
#202865242
#202864692
#202864162
#202863932
#202863852
#202862582
#202862492
#202862132
#202861892
#202858132
#202857612
#202856122
#202855692
#202854832
#202854642
#202849782
#202849152
#202839832
#202839362
#449×D532
#202837672
C53×#30122
#6163953