Finite Group Databasebeta

← #28270096

Subgroups — #28270096

Order 13568.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288979C211yesmaximal, characteristic, complemented
2#20288394C211yesmaximal, characteristic, complemented
3#20287011C211yesmaximal, characteristic, complemented
4#20286991C211yesmaximal, characteristic, complemented
5#20286905C211yesmaximal, characteristic, complemented
6#20286878C211yesmaximal, characteristic, complemented
7#20286781C211yesmaximal, characteristic, complemented
8#20286757C211yesmaximal, characteristic, complemented
9#20286638C211yesmaximal, characteristic, complemented
10#20286633C211yesmaximal, characteristic, complemented
11#20286450C211yesmaximal, characteristic, complemented
12#20286345C211yesmaximal, characteristic, complemented
13#20286326C211yesmaximal, characteristic, complemented
14#20286280C211yesmaximal, characteristic, complemented
15#20286263C211yesmaximal, characteristic, complemented
16#20286236C211yesmaximal, characteristic, complemented
17#20286225C211yesmaximal, characteristic, complemented
18#20285821C211yesmaximal, characteristic, complemented
19#20285817C211yesmaximal, characteristic, complemented
20#20285590C211yesmaximal, characteristic, complemented
21#20285563C211yesmaximal, characteristic, complemented
22#20285543C211yesmaximal, characteristic, complemented
23#20285491C211yesmaximal, characteristic, complemented
24#20284998C211yesmaximal, characteristic, complemented
25#20284976C211yesmaximal, characteristic, complemented
26#20284005C211yesmaximal, characteristic, complemented
27#20283997C211yesmaximal, characteristic, complemented
28#20283953C211yesmaximal, characteristic, complemented
29#20283929C211yesmaximal, characteristic, complemented
30#20283757C211yesmaximal, characteristic, complemented
31C53×#3282C211yesmaximal, characteristic, complemented
32C2×#13133265C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic, complemented
34C2×#13133249C2211yescharacteristic, complemented
35C2×#13133246C2211yescharacteristic
36C2×#13133243C2211yescharacteristic, complemented
37C2×#13133241C2211yescharacteristic
38C2×#13133237C2211yescharacteristic
39C2×Q16×D53C2211yescharacteristic, complemented
40#16811366—21no—
41#16811361—21no—
42#16811357—21no—
43#16811344C2211yescharacteristic
44#16811343C2211yescharacteristic, complemented
45#16811338C2211yescharacteristic
46#16811337C2211yescharacteristic, complemented
47#16811299—21no—
48Q8×D212C2211yescharacteristic, complemented
49Q8×C22⋊D53C2211yescharacteristic
50#16811281C2211yescharacteristic
51#16811280C2211yescharacteristic, complemented
52#16811280C2211yescharacteristic, complemented
53#16811278—21no—
54#16811278C2211yescharacteristic
55#16811275—21no—
56#16811275C2211yescharacteristic, complemented
57#16811270—21no—
58#16811270C2211yescharacteristic
59#16811267C2211yescharacteristic
60#16811266—21no—
61#16811266C2211yescharacteristic, complemented
62#16811242C2211yescharacteristic, complemented
63#16811241—21no—
64#16811240—21no—
65#16811238C2211yescharacteristic, complemented
66#16811211—21no—
67#16811208—21no—
68#16811202—21no—
69#16811202C2211yescharacteristic
70#16811196C2211yescharacteristic, complemented
71#16811193—21no—
72#16811193C2211yescharacteristic, complemented
73#16811190C2211yescharacteristic, complemented
74#16811133C2211yescharacteristic
75#16811132—21no—
76#16811132C2211yescharacteristic
77#16811130C2211yescharacteristic
78C22⋊Q8×D53—21no—
79C22⋊Q8×D53C2211yescharacteristic, complemented
80#16811105C2211yescharacteristic, complemented
81#16811018C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811006C2211yescharacteristic, complemented
84#16810982C2211yescharacteristic, complemented
85#16810981C2211yescharacteristic, complemented
86#16810974C2211yescharacteristic, complemented
87#16810972C2211yescharacteristic, complemented
88#16810967C2211yescharacteristic, complemented
89#16810967C2211yescharacteristic, complemented
90#16810965C2211yescharacteristic, complemented
91#16810965C2211yescharacteristic, complemented
92#16810963C2211yescharacteristic, complemented
93#16810961C2211yescharacteristic, complemented
94#16810957C2211yescharacteristic, complemented
95#16810955C2211yescharacteristic, complemented
96#16810945C2211yescharacteristic, complemented
97#16810944C2211yescharacteristic, complemented
98#16810940C2211yescharacteristic, complemented
99#16810935C2211yescharacteristic, complemented
100#16810918C2211yescharacteristic, complemented
101#16810912C2211yescharacteristic, complemented
102#16810906C2211yescharacteristic, complemented
103#16810904C2211yescharacteristic, complemented
104#16810880C2211yescharacteristic, complemented
105#16810879C2211yescharacteristic, complemented
106#16810878C2211yescharacteristic, complemented
107#16810873C2211yescharacteristic, complemented
108#16810868C2211yescharacteristic
109#16810868C2211yescharacteristic, complemented
110#16810867C2211yescharacteristic, complemented
111#16810866C2211yescharacteristic
112#16810864C2211yescharacteristic, complemented
113#16810864C2211yescharacteristic, complemented
114#16810862C2211yescharacteristic, complemented
115#16810856C2211yescharacteristic, complemented
116#16810851C2211yescharacteristic, complemented
117#16810850C2211yescharacteristic, complemented
118#16810843C2211yescharacteristic, complemented
119#16810843C2211yescharacteristic, complemented
120#16810842C2211yescharacteristic, complemented
121#16810837C2211yescharacteristic, complemented
122#16810836C2211yescharacteristic, complemented
123#16810835C2211yescharacteristic, complemented
124#16810834C2211yescharacteristic, complemented
125#16810831C2211yescharacteristic, complemented
126#16810828C2211yescharacteristic, complemented
127#16810826C2211yescharacteristic, complemented
128#16810788C2211yescharacteristic, complemented
129#16810787C2211yescharacteristic, complemented
130#16810787C2211yescharacteristic, complemented
131#16810786C2211yescharacteristic
132#16810786C2211yescharacteristic, complemented
133#16810785C2211yescharacteristic, complemented
134#16810785C2211yescharacteristic, complemented
135#16810784C2211yescharacteristic, complemented
136#16810783C2211yescharacteristic, complemented
137#16810782C2211yescharacteristic
138#16810782C2211yescharacteristic, complemented
139#16810780C2211yescharacteristic, complemented
140#16810780C2211yescharacteristic, complemented
141#16810779C2211yescharacteristic, complemented
142#16810777C2211yescharacteristic, complemented
143#16810777C2211yescharacteristic, complemented
144#16810774C2211yescharacteristic, complemented
145#16810772C2211yescharacteristic, complemented
146#16810767C2211yescharacteristic
147#16810767C2211yescharacteristic
148#16810767C2211yescharacteristic, complemented
149#16810767C2211yescharacteristic, complemented
150#16810766C2211yescharacteristic
151#16810765C2211yescharacteristic
152#16810765C2211yescharacteristic
153#16810760C2211yescharacteristic
154#16810760C2211yescharacteristic, complemented
155#16810760C2211yescharacteristic, complemented
156#16810760C2211yescharacteristic, complemented
157#16810760C2211yescharacteristic, complemented
158#16810760C2211yescharacteristic, complemented
159#16810755C2211yescharacteristic
160#16810733C2211yescharacteristic, complemented
161#16810728C2211yescharacteristic, complemented
162#16810726C2211yescharacteristic, complemented
163#16810724C2211yescharacteristic, complemented
164Q16×Dic53C2211yescharacteristic, complemented
165C4×#11719913C2211yescharacteristic, complemented
166#16810703C2211yescharacteristic, complemented
167#16810702C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic
169#16810695C2211yescharacteristic, complemented
170#16810694C2211yescharacteristic
171#16810693C2211yescharacteristic, complemented
172#16810691C2211yescharacteristic, complemented
173C8×C22⋊D53C2211yescharacteristic, complemented
174#16810683C2211yescharacteristic, complemented
175#16810682C2211yescharacteristic, complemented
176#16810632C2211yescharacteristic, complemented
177#16810630C2211yescharacteristic, complemented
178#16810630C2211yescharacteristic, complemented
179#16810626C2211yescharacteristic, complemented
180#16810620C2211yescharacteristic, complemented
181#16810620C2211yescharacteristic, complemented
182#16810619C2211yescharacteristic, complemented
183#16810618C2211yescharacteristic, complemented
184#16810589C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186#16810585C2211yescharacteristic, complemented
187C2×#13133129C2211yescharacteristic, complemented
188C2×#135×C53C2211yescharacteristic
189C22×SD16×C53C2211yescharacteristic, complemented
190C53×#548C2211yescharacteristic
191C53×#546C2211yescharacteristic, complemented
192C53×#495C2211yescharacteristic, complemented
193C53×#465C2211yescharacteristic, complemented
194C53×#465C2211yescharacteristic, complemented
195C53×#464C2211yescharacteristic, complemented
196C53×#463C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic, complemented
198C53×#451C2211yescharacteristic, complemented
199C53×#449C2211yescharacteristic
200C53×#447C2211yescharacteristic, complemented
201C4×SD16×C53C2211yescharacteristic, complemented
202C8×D4×C53C2211yescharacteristic, complemented
203#13133265—42no—
204#13133265—42no—
205C2×#11719949—21no—
206C2×#11719949C2311yescharacteristic
207C2×#11719949C2311yescharacteristic
208C2×#11719945—21no—
209C2×#11719945—21no—
210C2×#11719945—21no—
211C2×#11719945C2311yescharacteristic
212C2×#11719945C2311yescharacteristic
213C2×#11719945C2311yescharacteristic
214C2×#11719947—21no—
215C2×#11719947C2311yescharacteristic
216C2×#11719947C2311yescharacteristic
217#41×D53—42no—
218#41×D53—42no—
219C2×Q8×D53—21no—
220C2×Q8×D53C2311yescharacteristic
221C2×Q8×D53C2311yescharacteristic
222C2×Q8×D53C2311yescharacteristic
223C2×Q8×D53C2311yescharacteristic
224C2×D4×D53—21no—
225C2×D4×D53C2311yescharacteristic
226C22×C4×D53—21no—
227C22×C4×D53C2311yescharacteristic
228#13133249—42no—
229#13133246—42no—
230#13133243—42no—
231#13133241—42no—
232#13133237—42no—
233C2×Dic212C2311yescharacteristic
234C2×Dic212C2311yescharacteristic
235C2×#11719925C2311yescharacteristic
236C2×#11719925C2311yescharacteristic
237C2×#11719925C2311yescharacteristic
238C2×#11719925C2311yescharacteristic
239Q16×D53—42no—
240C2×#11719913C2311yescharacteristic
241C2×#11719923C2311yescharacteristic
242C2×#11719923C2311yescharacteristic
243C2×#11719923C2311yescharacteristic
244C2×#11719923C2311yescharacteristic
245C2×#11719923C2311yescharacteristic
246C2×#11719924C2311yescharacteristic
247C2×#11719922C2311yescharacteristic
248C2×#11719922C2311yescharacteristic
249C2×#11719917C2311yescharacteristic
250C2×#11719912C2311yescharacteristic
251C2×#11719912C2311yescharacteristic
252C2×#11719912C2311yescharacteristic
253C22×#88322C2311yescharacteristic
254C2×C8×D53C2311yescharacteristic
255#13133217—21no—
256#13133217C2311yescharacteristic
257#13133217C2311yescharacteristic
258#13133216—21no—
259#13133216C2311yescharacteristic
260#13133215—21no—
261#13133215C2311yescharacteristic
262#13133213—21no—
263#13133212—21no—
264#13133210—21no—
265#13133210—21no—
266#13133210—21no—
267#13133210—21no—
268#13133210—21no—
269#13133204—21no—
270#13133204—21no—
271#13133204—21no—
272#13133204—21no—
273#13133204—21no—
274#13133204C2311yescharacteristic
275#13133204C2311yescharacteristic
276#13133203—21no—
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133202—21no—
285#13133202—21no—
286#13133202D411yescharacteristic
287#13133201—21no—
288#13133200—21no—
289#13133199—21no—
290#13133199—21no—
291#13133199—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133199—21no—
296#13133199—21no—
297#13133199—21no—
298#13133199D411yescharacteristic
299#13133198—21no—
300#13133198—21no—
301#13133197—21no—
302#13133197—21no—
303#13133197C2311yescharacteristic
304#13133197C2311yescharacteristic
305#13133197C2311yescharacteristic
306#13133196—21no—
307#13133196—21no—
308#13133196—21no—
309#13133196—21no—
310#13133196C2311yescharacteristic
311#13133196C2311yescharacteristic
312#13133196C2311yescharacteristic
313#13133196C2311yescharacteristic
314#13133195—21no—
315#13133195D411yescharacteristic
316#13133194—21no—
317#13133194—21no—
318#13133194—21no—
319#13133194—21no—
320#13133194—21no—
321#13133194—21no—
322#13133194D411yescharacteristic
323#13133193—21no—
324#13133193C2311yescharacteristic
325#13133193C2311yescharacteristic
326#13133193C2311yescharacteristic
327#13133191—21no—
328#13133190—21no—
329#13133190—21no—
330#13133190—21no—
331#13133190—21no—
332#13133190D411yescharacteristic
333#13133189—21no—
334#13133189—21no—
335#13133189—21no—
336#13133189D411yescharacteristic
337#13133188—21no—
338#13133188—21no—
339#13133188—21no—
340#13133188—21no—
341#13133188—21no—
342#13133188C2311yescharacteristic
343#13133188C2311yescharacteristic
344#13133188C2311yescharacteristic
345#13133188C2311yescharacteristic
346#13133188C2311yescharacteristic
347#13133188C2311yescharacteristic
348#13133187—21no—
349#13133187D411yescharacteristic
350#13133186—21no—
351#13133186—21no—
352#13133186—21no—
353#13133185—21no—
354#13133185—21no—
355#13133185—21no—
356#13133185D411yescharacteristic
357Q8×Dic53C2311yescharacteristic
358Q8×Dic53C2311yescharacteristic
359C4×Dic106C2311yescharacteristic
360#13133182—21no—
361#13133182—21no—
362C4×D212—21no—
363C4×D212—21no—
364C4×D212C2311yescharacteristic
365C4×D212C2311yescharacteristic
366D4×Dic53—21no—
367D4×Dic53C2311yescharacteristic
368#13133179—21no—
369#13133179C2311yescharacteristic
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
377#13133177—21no—
378#13133177—21no—
379#13133176—21no—
380#13133176C2311yescharacteristic
381#13133176C2311yescharacteristic
382#13133175C2311yescharacteristic
383#13133175C2311yescharacteristic
384#13133174—21no—
385#13133174C2311yescharacteristic
386#13133173—21no—
387C4⋊C4×D53—21no—
388C4⋊C4×D53—21no—
389C4⋊C4×D53—21no—
390C4⋊C4×D53—21no—
391C4⋊C4×D53C2311yescharacteristic
392C2×C22⋊Dic53—21no—
393C22⋊C4×D53—21no—
394C22⋊C4×D53—21no—
395C22⋊C4×D53—21no—
396#13133151C2311yescharacteristic
397#13133151C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133149C2311yescharacteristic
401#13133148C2311yescharacteristic
402#13133148C2311yescharacteristic
403C4⋊#88322C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133141C2311yescharacteristic
416#13133141C2311yescharacteristic
417#13133141C2311yescharacteristic
418#13133141C2311yescharacteristic
419#13133141C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133140C2311yescharacteristic
422#13133140C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133138C2311yescharacteristic
430#13133138C2311yescharacteristic
431#13133137C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133128C2311yescharacteristic
443#13133127C2311yescharacteristic
444C8×Dic53C2311yescharacteristic
445C2×#41×C53C2311yescharacteristic
446C2×#41×C53C2311yescharacteristic
447C22×Q8×C53C2311yescharacteristic
448C22×D4×C53C2311yescharacteristic
449#135×C53—42no—
450C2×Q16×C53C2311yescharacteristic
451C2×Q16×C53C2311yescharacteristic
452C2×SD16×C53—42no—
453C2×SD16×C53C2311yescharacteristic
454C2×SD16×C53C2311yescharacteristic
455C2×SD16×C53C2311yescharacteristic
456C2×SD16×C53C2311yescharacteristic
457C2×SD16×C53C2311yescharacteristic
458C2×D8×C53C2311yescharacteristic
459C2×D8×C53C2311yescharacteristic
460C22×C8×C53C2311yescharacteristic
461C22×C8×C53C2311yescharacteristic
462#124×C53—21no—
463#124×C53C2311yescharacteristic
464#124×C53C2311yescharacteristic
465#123×C53—21no—
466C22⋊Q8×C53—21no—
467C22⋊Q8×C53C2311yescharacteristic
468C22⋊Q8×C53C2311yescharacteristic
469#121×C53—21no—
470#121×C53—21no—
471#121×C53C2311yescharacteristic
472#121×C53C2311yescharacteristic
473#120×C53—21no—
474C4×Q8×C53C2311yescharacteristic
475C4×D4×C53—21no—
476C4×D4×C53C2311yescharacteristic
477C4×D4×C53C2311yescharacteristic
478C2×C22⋊C4×C53—21no—
479#106×C53C2311yescharacteristic
480C4⋊C8×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#103×C53C2311yescharacteristic
483#103×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486#102×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489C4×C8×C53C2311yescharacteristic
490C24×C53—21no—
491C23×D53—21no—
492C23×D53C2×D411yescharacteristic
493#41×C53—22no—
494#41×C53—41no—
495#41×C53—41no—
496#41×C53—41no—
497C2×Q8×C53—21no—
498C2×Q8×C53—22no—
499C2×Q8×C53—41no—
500C2×Q8×C53C2411yescharacteristic
501C2×Q8×C53C2411yescharacteristic
502C2×Q8×C53C2411yescharacteristic
503C2×D4×C53—21no—
504C2×D4×C53—21no—
505C2×D4×C53—21no—
506C2×D4×C53—21no—
507C2×D4×C53—21no—
508C2×D4×C53—41no—
509C2×D4×C53—41no—
510C2×D4×C53C2×D411yescharacteristic
511C2×D4×C53C2411yescharacteristic
512C2×D4×C53C2411yescharacteristic
513C2×D4×C53C2411yescharacteristic
514C22×C4×C53—21no—
515C22×C4×C53—21no—
516C22×C4×C53—21no—
517C22×C4×C53—21no—
518C22×C4×C53C2411yescharacteristic
519C22×C4×C53C2411yescharacteristic
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—21no—
530C2×C22⋊D53—21no—
531C2×C22⋊D53C2×D411yescharacteristic
532C2×C22⋊D53C2×D411yescharacteristic
533C2×C22⋊D53C2×D411yescharacteristic
534C2×C22⋊D53C2×D411yescharacteristic
535C22×Dic53—21no—
536C22×Dic53—21no—
537C22×Dic53—21no—
538C22×Dic53C2×D411yescharacteristic
539#11719949—22no—
540#11719949—22no—
541#11719949—22no—
542#11719949—41no—
543#11719949—44no—
544Q8×D53—22no—
545Q8×D53—22no—
546Q8×D53—41no—
547Q8×D53—41no—
548Q8×D53—41no—
549Q8×D53—41no—
550Q8×D53—41no—
551Q8×D53—41no—
552Q8×D53—44no—
553#11719947—41no—
554#11719947—41no—
555#11719947—41no—
556#11719947—41no—
557#11719947—44no—
558D4×D53—22no—
559D4×D53—41no—
560D4×D53—44no—
561#11719945—22no—
562#11719945—22no—
563#11719945—41no—
564#11719945—41no—
565#11719945—41no—
566#11719945—41no—
567#11719945—44no—
568#11719945—44no—
569#11719945—44no—
570C2×D212—21no—
571C2×D212—21no—
572C2×D212C2×D411yescharacteristic
573C2×D212C2×D411yescharacteristic
574C2×D212C2411yescharacteristic
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—21no—
583C2×C4×D53—21no—
584C2×C4×D53—21no—
585C2×C4×D53—21no—
586C2×C4×D53—41no—
587C2×C4×D53—41no—
588C2×C4×D53—44no—
589C2×C4×D53C2×D411yescharacteristic
590C2×C4×D53C2×D411yescharacteristic
591C2×C4×D53C2411yescharacteristic
592C2×C4×D53C2411yescharacteristic
593C2×C4×D53C2411yescharacteristic
594C2×Dic106—21no—
595C2×Dic106—21no—
596C2×Dic106—21no—
597C2×Dic106—21no—
598C2×Dic106—21no—
599C2×Dic106—21no—
600C2×Dic106C2×D411yescharacteristic
601C2×Dic106C2411yescharacteristic
602C2×Dic106C2411yescharacteristic
603C2×Dic106C2411yescharacteristic
604Q16×C53—22no—
605Q16×C53—41no—
606SD16×C53—22no—
607SD16×C53—22no—
608SD16×C53—41no—
609SD16×C53—41no—
610SD16×C53—41no—
611D8×C53—41no—
612D8×C53—41no—
613C2×C8×C53—41no—
614C2×C8×C53—41no—
615C2×C8×C53C2411yescharacteristic
616C2×C8×C53C2411yescharacteristic
617C2×C8×C53C2411yescharacteristic
618C2×C8×C53C2411yescharacteristic
619C4⋊C4×C53—21no—
620C4⋊C4×C53—21no—
621C4⋊C4×C53—21no—
622C4⋊C4×C53C2×D411yescharacteristic
623C4⋊C4×C53C2411yescharacteristic
624C4⋊C4×C53C2411yescharacteristic
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×C53—21no—
633C22⋊C4×C53—21no—
634C22⋊C4×C53C2×D411yescharacteristic
635C22⋊C4×C53C2×D411yescharacteristic
636C42×C53—21no—
637C42×C53C2411yescharacteristic
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⋊Dic53—21no—
651C22⋊Dic53—21no—
652C22⋊Dic53—21no—
653C22⋊Dic53—21no—
654C22⋊Dic53—21no—
655C22⋊Dic53C2×D411yescharacteristic
656C22⋊Dic53C2×D411yescharacteristic
657#11719925—22no—
658#11719925—41no—
659#11719925—41no—
660#11719925—41no—
661#11719924—22no—
662#11719923—41no—
663#11719923—41no—
664#11719923—41no—
665#11719923—41no—
666#11719923—41no—
667#11719922—22no—
668#11719922—22no—
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#11719921C2×D411yescharacteristic
680#11719921C2×D411yescharacteristic
681#11719921C2×D411yescharacteristic
682#11719921C2×D411yescharacteristic
683#11719921C2×D411yescharacteristic
684#11719921C2×D411yescharacteristic
685C4⋊Dic53—21no—
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⋊Dic53C2411yescharacteristic
695C4⋊Dic53C2411yescharacteristic
696C4⋊Dic53C2411yescharacteristic
697C4⋊Dic53C2411yescharacteristic
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#11719919—21no—
710#11719919C2×D411yescharacteristic
711#11719919C2×D411yescharacteristic
712#11719919C2×D411yescharacteristic
713#11719919C2×D411yescharacteristic
714C4×Dic53—21no—
715C4×Dic53—21no—
716C4×Dic53—21no—
717C4×Dic53—21no—
718C4×Dic53—21no—
719C4×Dic53—21no—
720C4×Dic53—21no—
721C4×Dic53C2411yescharacteristic
722#11719917—41no—
723C2×#88322—41no—
724C2×#88322C2411yescharacteristic
725C2×#88322C2411yescharacteristic
726C2×#88322C2411yescharacteristic
727C2×#88322C2411yescharacteristic
728Dic212—41no—
729Dic212—41no—
730#11719913—22no—
731#11719912—41no—
732#11719912—41no—
733#11719912—41no—
734C8×D53—41no—
735C23×C53—21no—
736C23×C53—21no—
737C23×C53—21no—
738C23×C53—81no—
739C23×C53—81no—
740C23×C53—81no—
741C23×C53C22×D411yescharacteristic
742C23×C53C22×D411yescharacteristic
743C22×D53—21no—
744C22×D53—41no—
745C22×D53—41no—
746C22×D53—41no—
747C22×D53—42no—
748C22×D53—42no—
749C22×D53—81no—
750C22×D53C22×D411yescharacteristic
751C22×D53C22×D411yescharacteristic
752C22×D53C22×D411yescharacteristic
753Q8×C53—21no—
754Q8×C53—21no—
755Q8×C53—21no—
756Q8×C53—21no—
757Q8×C53—21no—
758Q8×C53—42no—
759Q8×C53H(5,𝔽2)12yes—
760D4×C53—21no—
761D4×C53—21no—
762D4×C53—21no—
763D4×C53—21no—
764D4×C53—21no—
765D4×C53—21no—
766D4×C53—41no—
767D4×C53—42no—
768D4×C53—81no—
769D4×C53—81no—
770D4×C53—81no—
771D4×C53—81no—
772C2×C4×C53—21no—
773C2×C4×C53—21no—
774C2×C4×C53—21no—
775C2×C4×C53—21no—
776C2×C4×C53—21no—
777C2×C4×C53—21no—
778C2×C4×C53—21no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—42no—
782C2×C4×C53—42no—
783C2×C4×C53—81no—
784C2×C4×C53—81no—
785C2×C4×C53C22×D411yescharacteristic
786C2×C4×C53C22×D411yescharacteristic
787C2×C4×C53C22×D411yescharacteristic
788C2×C4×C53C22×D411yescharacteristic
789C2×C4×C53C2511yescharacteristic
790C22⋊D53—41no—
791C22⋊D53—41no—
792C22⋊D53—41no—
793C22⋊D53—41no—
794C22⋊D53—42no—
795C22⋊D53—42no—
796C22⋊D53—42no—
797C22⋊D53—42no—
798C22⋊D53—81no—
799C22⋊D53—81no—
800C22⋊D53—81no—
801C22⋊D53—81no—
802C22⋊D53—81no—
803C22⋊D53—81no—
804C22⋊D53—81no—
805C2×Dic53—21no—
806C2×Dic53—21no—
807C2×Dic53—21no—
808C2×Dic53—21no—
809C2×Dic53—21no—
810C2×Dic53—21no—
811C2×Dic53—21no—
812C2×Dic53—41no—
813C2×Dic53—42no—
814C2×Dic53—81no—
815C2×Dic53—81no—
816C2×Dic53C22×D411yescharacteristic
817C2×Dic53C22×D411yescharacteristic
818C2×Dic53C22×D411yescharacteristic
819C2×Dic53C22×D411yescharacteristic
820C2×Dic53C22×D411yescharacteristic
821D212—24no—
822D212—21no—
823D212—41no—
824D212—41no—
825D212—42no—
826D212H(5,𝔽2)12yes—
827C4×D53—24no—
828C4×D53—21no—
829C4×D53—21no—
830C4×D53—21no—
831C4×D53—21no—
832C4×D53—21no—
833C4×D53—21no—
834C4×D53—41no—
835C4×D53—41no—
836C4×D53—42no—
837C4×D53—42no—
838C4×D53—42no—
839C4×D53—42no—
840C4×D53—42no—
841C4×D53—42no—
842C4×D53—81no—
843C4×D53—81no—
844C4×D53—81no—
845C4×D53—81no—
846Dic106—21no—
847Dic106—21no—
848Dic106—21no—
849Dic106—21no—
850Dic106—21no—
851Dic106—21no—
852Dic106—41no—
853Dic106—42no—
854Dic106—42no—
855Dic106—42no—
856Dic106—81no—
857Dic106—81no—
858Dic106—81no—
859C8×C53—21no—
860C8×C53—21no—
861C8×C53—21no—
862C8×C53—21no—
863#88322—21no—
864#88322—21no—
865#88322—21no—
866#88322—21no—
867#61627—531nomaximal, Sylow
868C22×C53—21no—
869C22×C53—21no—
870C22×C53—21no—
871C22×C53—21no—
872C22×C53—21no—
873C22×C53—21no—
874C22×C53—41no—
875C22×C53—41no—
876C22×C53—41no—
877C22×C53—41no—
878C22×C53—41no—
879C22×C53—41no—
880C22×C53—41no—
881C22×C53—41no—
882C22×C53—41no—
883C22×C53—162no—
884C22×C53C23×D411yescharacteristic
885C2×D53—21no—
886C2×D53—21no—
887C2×D53—21no—
888C2×D53—21no—
889C2×D53—21no—
890C2×D53—21no—
891C2×D53—21no—
892C2×D53—22no—
893C2×D53—21no—
894C2×D53—21no—
895C2×D53—41no—
896C2×D53—41no—
897C2×D53—82no—
898C2×D53—84no—
899C4×C53—21no—
900C4×C53—21no—
901C4×C53—22no—
902C4×C53—21no—
903C4×C53—21no—
904C4×C53—41no—
905C4×C53—41no—
906C4×C53—41no—
907C4×C53—41no—
908C4×C53C2×H(5,𝔽2)11yescharacteristic
909C4×C53C2×H(5,𝔽2)11yescharacteristic
910Dic53—21no—
911Dic53—21no—
912Dic53—21no—
913Dic53—21no—
914Dic53—21no—
915Dic53—41no—
916Dic53—41no—
917Dic53—41no—
918Dic53—41no—
919Dic53—41no—
920Dic53—41no—
921Dic53—41no—
922#3540—531no—
923#3489—531no—
924#3329—531no—
925#3328—531no—
926#3321—531no—
927#3319—531no—
928#3313—531no—
929#3311—531no—
930#3303—531no—
931#3302—531no—
932#3285—531no—
933#3282D5311yescharacteristic, complemented
934#3275—531no—
935#3273—531no—
936#3270—531no—
937#3269—531no—
938#3267—531no—
939#3266—531no—
940#3225—531no—
941#3225—531no—
942#3201—531no—
943#3198—531no—
944#3196—531no—
945#3190—531no—
946#3125—531no—
947#3124—531no—
948#3011—531no—
949#3010—531no—
950#3005—531no—
951#3002—531no—
952#2976—531no—
953C2×C53—41no—
954C2×C53—41no—
955C2×C53—81no—
956C2×C53—81no—
957C2×C53—81no—
958C2×C53#348411yescharacteristic
959C2×C53#358411yescharacteristic
960C2×C53#358611yescharacteristic
961D53—41no—
962D53—41no—
963D53—41no—
964D53—42no—
965C2×2−1+4—531no—
966C22×#41—531no—
967C2×#137—531no—
968C2×#137—531no—
969C2×AGL(1,ℤ/8)—531no—
970C2×AGL(1,ℤ/8)—531no—
971C2×#135—531no—
972C2×#135C2×D5311yescharacteristic
973C22×Q16—531no—
974C22×SD16C2×D5311yescharacteristic, complemented
975H(3,𝔽4)—1061no—
976#560—1061no—
977#559—1061no—
978#556—531no—
979#556—531no—
980#555—531no—
981#555—531no—
982#551—1061no—
983D4×Q8—531no—
984D4×Q8—531no—
985#548—531no—
986#548—531no—
987#548—531no—
988#548C2×D5311yescharacteristic
989#547—531no—
990#547—531no—
991#547—1061no—
992#547—1061no—
993#546—531no—
994#546—531no—
995#546—531no—
996#546—1061no—
997#546—1061no—
998#546C2×D5311yescharacteristic, complemented
999#542—531no—
1000#542—531no—
1001#542—1061no—
1002#542—1061no—
1003#538—1061no—
1004#538—1061no—
1005#537—531no—
1006#537—1061no—
1007#536—531no—
1008#536—531no—
1009#536—1061no—
1010#535—531no—
1011#525—531no—
1012#525—531no—
1013#525—531no—
1014#525—1061no—
1015C2×C22⋊Q8—531no—
1016C2×C22⋊Q8—1061no—
1017#520—531no—
1018#497—531no—
1019#497—531no—
1020#495—531no—
1021#495C2×D5311yescharacteristic, complemented
1022#489—531no—
1023#489—531no—
1024#487—531no—
1025#487—531no—
1026#485—531no—
1027#485—531no—
1028#485—531no—
1029#485—531no—
1030#485—531no—
1031#485—531no—
1032#484—531no—
1033#483—531no—
1034#482—531no—
1035#482—531no—
1036#481—531no—
1037#480—531no—
1038#477—531no—
1039#476—531no—
1040#475—531no—
1041#474—531no—
1042#470—531no—
1043#470—531no—
1044#470—531no—
1045#469—531no—
1046#468—531no—
1047#468—531no—
1048#468—531no—
1049#468—531no—
1050#467—531no—
1051#467—531no—
1052#467—531no—
1053#466—531no—
1054#465—531no—
1055#465—531no—
1056#465C2×D5311yescharacteristic, complemented
1057#465C2×D5311yescharacteristic, complemented
1058#464—531no—
1059#464—531no—
1060#464—531no—
1061#464C2×D5311yescharacteristic, complemented
1062#463—531no—
1063#463—531no—
1064#463—531no—
1065#463C2×D5311yescharacteristic, complemented
1066#462—531no—
1067#462—531no—
1068#461—531no—
1069#461—531no—
1070#452—531no—
1071#452—531no—
1072#452—531no—
1073#452—531no—
1074#452—531no—
1075#452—531no—
1076#452—531no—
1077#452—531no—
1078#452—531no—
1079#452—531no—
1080#452—531no—
1081#452C2×D5311yescharacteristic, complemented
1082#451—531no—
1083#451—531no—
1084#451—531no—
1085#451—531no—
1086#451—531no—
1087#451C2×D5311yescharacteristic, complemented
1088#450—531no—
1089#450—531no—
1090#449—531no—
1091#449—531no—
1092#449—531no—
1093#449—531no—
1094#449—531no—
1095#449—531no—
1096#449—531no—
1097#449C2×D5311yescharacteristic
1098#448—531no—
1099#448—531no—
1100#448—531no—
1101#448—531no—
1102#448—531no—
1103#448—531no—
1104#447—531no—
1105#447C2×D5311yescharacteristic, complemented
1106#442—531no—
1107#441—531no—
1108#440—531no—
1109#440—531no—
1110C4×Q16—531no—
1111C4×SD16—531no—
1112C4×SD16C2×D5311yescharacteristic, complemented
1113C4×D8—531no—
1114#436—531no—
1115#436—531no—
1116#435—531no—
1117#435—531no—
1118#435—531no—
1119#435—531no—
1120C8×D4—531no—
1121C8×D4C2×D5311yescharacteristic, complemented
1122#433—531no—
1123#433—531no—
1124#419—531no—
1125#419—531no—
1126#419—531no—
1127#418—531no—
1128#416—531no—
1129#416—531no—
1130#416—531no—
1131#416—531no—
1132#408—531no—
1133#408—531no—
1134#407—531no—
1135C2×C22⋊C8—531no—
1136C53#6162711yescharacteristic, complemented, Sylow
11372−1+4—2122no—
11382−1+4—2122no—
1139C2×#41—531no—
1140C2×#41—531no—
1141C2×#41—531no—
1142C2×#41—531no—
1143C2×#41—531no—
1144C2×#41—531no—
1145C2×#41—531no—
1146C2×#41—1061no—
1147C2×#41—1061no—
1148C2×#41—1061no—
1149C2×#41—1061no—
1150C2×#41—1061no—
1151C2×#41—2122no—
1152C2×#41—2122no—
1153C2×#41C22×D5311yescharacteristic
1154C2×#41C22×D5311yescharacteristic
1155C22×Q8—531no—
1156C22×Q8—531no—
1157C22×Q8—531no—
1158C22×Q8—531no—
1159C22×Q8—1061no—
1160C22×Q8C22×D5311yescharacteristic
1161C22×D4—531no—
1162C22×D4—1061no—
1163C22×D4C22×D5311yescharacteristic
1164C23×C4—531no—
1165C23×C4—1061no—
1166#137—2122no—
1167#137—2122no—
1168AGL(1,ℤ/8)—2122no—
1169AGL(1,ℤ/8)—2122no—
1170#135—42no—
1171#135—2122no—
1172C2×Q16—531no—
1173C2×Q16—531no—
1174C2×Q16—531no—
1175C2×Q16—531no—
1176C2×Q16—531no—
1177C2×Q16—531no—
1178C2×Q16—2122no—
1179C2×Q16C22×D5311yescharacteristic
1180C2×Q16C22×D5311yescharacteristic
1181C2×SD16—42no—
1182C2×SD16—531no—
1183C2×SD16—531no—
1184C2×SD16—531no—
1185C2×SD16—531no—
1186C2×SD16—531no—
1187C2×SD16—531no—
1188C2×SD16—531no—
1189C2×SD16C22×D5311yescharacteristic
1190C2×SD16C22×D5311yescharacteristic
1191C2×SD16C22×D5311yescharacteristic
1192C2×SD16C22×D5311yescharacteristic
1193C2×SD16C22×D5311yescharacteristic
1194C2×D8—531no—
1195C2×D8—531no—
1196C2×D8C22×D5311yescharacteristic
1197C2×D8C22×D5311yescharacteristic
1198C2×M16—531no—
1199C2×M16—531no—
1200C2×M16—531no—
1201C2×M16—531no—
1202C22×C8—531no—
1203C22×C8—531no—
1204C22×C8C22×D5311yescharacteristic
1205C22×C8C22×D5311yescharacteristic
1206C4⋊Q8—531no—
1207C4⋊Q8—531no—
1208C4⋊Q8—531no—
1209C4⋊Q8—531no—
1210C4⋊Q8—1061no—
1211C4⋊Q8—1061no—
1212C4⋊Q8—1061no—
1213#127—1061no—
1214#126—1061no—
1215#126—1061no—
1216#126—1061no—
1217#126—1061no—
1218#126—1061no—
1219#126—1061no—
1220#124—21no—
1221#124—531no—
1222#124—531no—
1223#124—1061no—
1224#124—1061no—
1225#124—1061no—
1226#124—1061no—
1227#124—1061no—
1228#124—1061no—
1229#124—1061no—
1230#124—1061no—
1231#124—1061no—
1232#124—1061no—
1233#124—1061no—
1234#124—1061no—
1235#124—1061no—
1236#124C22×D5311yescharacteristic
1237#124C22×D5311yescharacteristic
1238#123—21no—
1239#123—531no—
1240#123—531no—
1241#123—1061no—
1242#123—1061no—
1243#123—1061no—
1244#123—1061no—
1245#123—1061no—
1246#123—1061no—
1247#123—1061no—
1248#123—1061no—
1249#123—1061no—
1250#123—1061no—
1251#123—1061no—
1252#123—1061no—
1253#123—1061no—
1254#123—1061no—
1255#123—1061no—
1256C22⋊Q8—21no—
1257C22⋊Q8—531no—
1258C22⋊Q8—531no—
1259C22⋊Q8—531no—
1260C22⋊Q8—531no—
1261C22⋊Q8—531no—
1262C22⋊Q8—531no—
1263C22⋊Q8—531no—
1264C22⋊Q8—531no—
1265C22⋊Q8—531no—
1266C22⋊Q8—531no—
1267C22⋊Q8—531no—
1268C22⋊Q8—531no—
1269C22⋊Q8—1061no—
1270C22⋊Q8—1061no—
1271C22⋊Q8—1061no—
1272C22⋊Q8—1061no—
1273C22⋊Q8—1061no—
1274C22⋊Q8—1061no—
1275C22⋊Q8—1061no—
1276C22⋊Q8—1061no—
1277C22⋊Q8—1061no—
1278C22⋊Q8—1061no—
1279C22⋊Q8—1061no—
1280C22⋊Q8—1061no—
1281C22⋊Q8—1061no—
1282C22⋊Q8—1061no—
1283C22⋊Q8C22×D5311yescharacteristic
1284C22⋊Q8C22×D5311yescharacteristic
1285#121—21no—
1286#121—21no—
1287#121—531no—
1288#121—531no—
1289#121—531no—
1290#121—531no—
1291#121—531no—
1292#121—531no—
1293#121—531no—
1294#121—531no—
1295#121—1061no—
1296#121—1061no—
1297#121—1061no—
1298#121—1061no—
1299#121—1061no—
1300#121—1061no—
1301#121—1061no—
1302#121—1061no—
1303#121—1061no—
1304#121—1061no—
1305#121—1061no—
1306#121—1061no—
1307#121—1061no—
1308#121C22×D5311yescharacteristic
1309#121C22×D5311yescharacteristic
1310#120—21no—
1311#120—531no—
1312#120—531no—
1313#120—1061no—
1314#120—1061no—
1315#120—1061no—
1316#120—1061no—
1317#120—1061no—
1318#120—1061no—
1319#120—1061no—
1320C4×Q8—531no—
1321C4×Q8—531no—
1322C4×Q8—531no—
1323C4×Q8—1061no—
1324C4×Q8—1061no—
1325C4×Q8C22×D5311yescharacteristic
1326C4×D4—21no—
1327C4×D4—531no—
1328C4×D4—531no—
1329C4×D4—531no—
1330C4×D4—531no—
1331C4×D4—531no—
1332C4×D4—531no—
1333C4×D4—1061no—
1334C4×D4—1061no—
1335C4×D4—1061no—
1336C4×D4—1061no—
1337C4×D4—1061no—
1338C4×D4—1061no—
1339C4×D4—1061no—
1340C4×D4—1061no—
1341C4×D4—1061no—
1342C4×D4—1061no—
1343C4×D4—1061no—
1344C4×D4C22×D5311yescharacteristic
1345C4×D4C22×D5311yescharacteristic
1346#117—531no—
1347#117—531no—
1348#117—531no—
1349#117—531no—
1350#117—531no—
1351#117—1061no—
1352#117—1061no—
1353#117—1061no—
1354C2×C4⋊C4—531no—
1355C2×C4⋊C4—1061no—
1356C2×C4⋊C4—1061no—
1357C2×C4⋊C4—1061no—
1358C2×C4⋊C4—1061no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—1061no—
1361C2×C22⋊C4—1061no—
1362C2×C22⋊C4—1061no—
1363C2×C22⋊C4—1061no—
1364#107—531no—
1365#107—531no—
1366#107—531no—
1367#107—531no—
1368#106—531no—
1369#106—531no—
1370#106—531no—
1371#106C22×D5311yescharacteristic
1372C4⋊C8—531no—
1373C4⋊C8—531no—
1374C4⋊C8—531no—
1375C4⋊C8C22×D5311yescharacteristic
1376#103—531no—
1377#103—531no—
1378#103—531no—
1379#103—531no—
1380#103—531no—
1381#103—531no—
1382#103—531no—
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#103C22×D5311yescharacteristic
1394#103C22×D5311yescharacteristic
1395#103C22×D5311yescharacteristic
1396#102—531no—
1397#102—531no—
1398#102—531no—
1399#102—531no—
1400#102—531no—
1401#102—531no—
1402#102—531no—
1403#102—531no—
1404#102—531no—
1405#102C22×D5311yescharacteristic
1406#102C22×D5311yescharacteristic
1407#102C22×D5311yescharacteristic
1408C22⋊C8—531no—
1409C22⋊C8—531no—
1410C22⋊C8—531no—
1411C22⋊C8—531no—
1412C22⋊C8—531no—
1413C22⋊C8—531no—
1414C22⋊C8—531no—
1415C22⋊C8—531no—
1416C22⋊C8—531no—
1417C22⋊C8—531no—
1418C22⋊C8C22×D5311yescharacteristic
1419C22⋊C8C22×D5311yescharacteristic
1420#97—531no—
1421#97—531no—
1422C4×C8—531no—
1423C4×C8C22×D5311yescharacteristic
1424C24—21no—
1425C24—531no—
1426C24—1061no—
1427#41—22no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—1062no—
1432#41—1062no—
1433#41—1062no—
1434#41—1062no—
1435#41—1062no—
1436#41—2121no—
1437#41—2121no—
1438#41—2121no—
1439#41—2121no—
1440#41—2124no—
1441#41—2124no—
1442#41—2124no—
1443#41—2121no—
1444#41—2121no—
1445#41—2121no—
1446#41—2121no—
1447#41—2124no—
1448#41—2121no—
1449#41—2124no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—531no—
1454C2×Q8—531no—
1455C2×Q8—531no—
1456C2×Q8—531no—
1457C2×Q8—1061no—
1458C2×Q8—1061no—
1459C2×Q8—1061no—
1460C2×Q8—1061no—
1461C2×Q8—1061no—
1462C2×Q8—1061no—
1463C2×Q8—1062no—
1464C2×Q8—1062no—
1465C2×Q8—2121no—
1466C2×Q8—2121no—
1467C2×Q8—2121no—
1468C2×Q8—2121no—
1469C2×Q8—2121no—
1470C2×Q8—2121no—
1471C2×Q8—2124no—
1472C2×Q8C23×D5311yescharacteristic
1473C2×Q8C23×D5311yescharacteristic
1474C2×Q8C23×D5311yescharacteristic
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—41no—
1481C2×D4—41no—
1482C2×D4—531no—
1483C2×D4—531no—
1484C2×D4—531no—
1485C2×D4—531no—
1486C2×D4—531no—
1487C2×D4—531no—
1488C2×D4—531no—
1489C2×D4—1061no—
1490C2×D4—1061no—
1491C2×D4—1061no—
1492C2×D4—1062no—
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—2121no—
1504C2×D4—2124no—
1505C2×D4D4×D5311yescharacteristic
1506C2×D4C23×D5311yescharacteristic
1507C2×D4C23×D5311yescharacteristic
1508C2×D4C23×D5311yescharacteristic
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—531no—
1514C22×C4—531no—
1515C22×C4—531no—
1516C22×C4—531no—
1517C22×C4—531no—
1518C22×C4—531no—
1519C22×C4—1061no—
1520C22×C4—1061no—
1521C22×C4—1061no—
1522C22×C4—1061no—
1523C22×C4—1061no—
1524C22×C4—1061no—
1525C22×C4—1061no—
1526C22×C4—1061no—
1527C22×C4—1061no—
1528C22×C4—1061no—
1529C22×C4—1061no—
1530C22×C4—1061no—
1531C22×C4—1061no—
1532C22×C4—1061no—
1533C22×C4—2121no—
1534C22×C4—2121no—
1535C22×C4—2124no—
1536C22×C4C23×D5311yescharacteristic
1537C22×C4C23×D5311yescharacteristic
1538Q16—22no—
1539Q16—41no—
1540Q16—1062no—
1541Q16—2121no—
1542Q16—2121no—
1543Q16—2121no—
1544Q16—2121no—
1545Q16—2121no—
1546SD16—22no—
1547SD16—22no—
1548SD16—41no—
1549SD16—41no—
1550SD16—41no—
1551SD16—1062no—
1552SD16—1062no—
1553SD16—2121no—
1554SD16—2121no—
1555SD16—2121no—
1556SD16—2121no—
1557SD16—2121no—
1558D8—41no—
1559D8—41no—
1560D8—1062no—
1561D8—1062no—
1562M16—2121no—
1563M16—2121no—
1564M16—2121no—
1565M16—2121no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—531no—
1569C2×C8—531no—
1570C2×C8—531no—
1571C2×C8—531no—
1572C2×C8—2121no—
1573C2×C8—2121no—
1574C2×C8C23×D5311yescharacteristic
1575C2×C8C23×D5311yescharacteristic
1576C2×C8C23×D5311yescharacteristic
1577C2×C8C23×D5311yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—531no—
1582C4⋊C4—531no—
1583C4⋊C4—531no—
1584C4⋊C4—531no—
1585C4⋊C4—531no—
1586C4⋊C4—531no—
1587C4⋊C4—531no—
1588C4⋊C4—531no—
1589C4⋊C4—531no—
1590C4⋊C4—1061no—
1591C4⋊C4—1061no—
1592C4⋊C4—1061no—
1593C4⋊C4—1061no—
1594C4⋊C4—1061no—
1595C4⋊C4—1061no—
1596C4⋊C4—1061no—
1597C4⋊C4—1061no—
1598C4⋊C4—1061no—
1599C4⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1611C4⋊C4C23×D5311yescharacteristic
1612C4⋊C4C23×D5311yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—531no—
1623C22⋊C4—531no—
1624C22⋊C4—531no—
1625C22⋊C4—531no—
1626C22⋊C4—531no—
1627C22⋊C4—531no—
1628C22⋊C4—531no—
1629C22⋊C4—531no—
1630C22⋊C4—1061no—
1631C22⋊C4—1061no—
1632C22⋊C4—1061no—
1633C22⋊C4—1061no—
1634C22⋊C4—1061no—
1635C22⋊C4—1061no—
1636C22⋊C4—1061no—
1637C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1658C22⋊C4D4×D5311yescharacteristic
1659C42—21no—
1660C42—531no—
1661C42—1061no—
1662C42—1061no—
1663C42—1061no—
1664C42—1061no—
1665C42—1061no—
1666C42—1061no—
1667C42—1061no—
1668C42C23×D5311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—81no—
1673C23—81no—
1674C23—81no—
1675C23—531no—
1676C23—531no—
1677C23—531no—
1678C23—1061no—
1679C23—4241no—
1680C23—2121no—
1681C23—2121no—
1682C23—2121no—
1683C23—2122no—
1684C23—2122no—
1685C23C2×D4×D5311yescharacteristic
1686C23C2×D4×D5311yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—42no—
1693Q8—1061no—
1694Q8—1061no—
1695Q8—1061no—
1696Q8—1061no—
1697Q8—1061no—
1698Q8—1061no—
1699Q8—4241no—
1700Q8—4241no—
1701Q8—4241no—
1702Q8—2121no—
1703Q8—2122no—
1704Q8—2122no—
1705Q8—2122no—
1706Q8#1313326212yes—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—41no—
1714D4—42no—
1715D4—81no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—532no—
1720D4—1064no—
1721D4—1061no—
1722D4—4241no—
1723D4—4241no—
1724D4—4241no—
1725D4—4241no—
1726D4—4241no—
1727D4—4241no—
1728D4—4241no—
1729D4—2121no—
1730D4—2121no—
1731D4—2122no—
1732D4—2121no—
1733D4—2121no—
1734D4—2121no—
1735D4—2121no—
1736D4—2122no—
1737D4—2122no—
1738D4—2122no—
1739D4—2122no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—42no—
1750C2×C4—42no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—531no—
1754C2×C4—531no—
1755C2×C4—531no—
1756C2×C4—531no—
1757C2×C4—531no—
1758C2×C4—1064no—
1759C2×C4—1061no—
1760C2×C4—1061no—
1761C2×C4—1061no—
1762C2×C4—1061no—
1763C2×C4—1061no—
1764C2×C4—1061no—
1765C2×C4—1061no—
1766C2×C4—1061no—
1767C2×C4—1061no—
1768C2×C4—1061no—
1769C2×C4—1061no—
1770C2×C4—1061no—
1771C2×C4—1061no—
1772C2×C4—4241no—
1773C2×C4—4241no—
1774C2×C4—4241no—
1775C2×C4—4241no—
1776C2×C4—4241no—
1777C2×C4—4241no—
1778C2×C4—2121no—
1779C2×C4—2121no—
1780C2×C4—2122no—
1781C2×C4—2122no—
1782C2×C4—2122no—
1783C2×C4—2122no—
1784C2×C4—2122no—
1785C2×C4—2122no—
1786C2×C4—2121no—
1787C2×C4—2122no—
1788C2×C4C2×D4×D5311yescharacteristic
1789C2×C4C2×D4×D5311yescharacteristic
1790C2×C4C2×D4×D5311yescharacteristic
1791C2×C4C2×D4×D5311yescharacteristic
1792C2×C4C24×D5311yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—1061no—
1798C8—1061no—
1799C8—1061no—
1800C8—1061no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—162no—
1817C22—1061no—
1818C22—1062no—
1819C22—1061no—
1820C22—1061no—
1821C22—1061no—
1822C22—1061no—
1823C22—1061no—
1824C22—1061no—
1825C22—1061no—
1826C22—1061no—
1827C22—4242no—
1828C22—4244no—
1829C22—2121no—
1830C22—2121no—
1831C22C22×D4×D5311yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—22no—
1835C4—21no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—1061no—
1842C4—1061no—
1843C4—1061no—
1844C4—1061no—
1845C4—1061no—
1846C4—2121no—
1847C4—2121no—
1848C4—2121no—
1849C4—2121no—
1850C4—2121no—
1851C4—2121no—
1852C4—2121no—
1853C4H(5,𝔽2)×D5311yescharacteristic
1854C4C2×#1313326211yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—81no—
1858C2—81no—
1859C2—81no—
1860C2—2121no—
1861C2—2121no—
1862C2—2121no—
1863C2—2122no—
1864C2#2028834311yescharacteristic
1865C2#2028948411yescharacteristic
1866C2#2028949711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3282C2
socleC22×C53C23×D4
hypercenter#3282D53
hypocenterC53#61627
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #20288979C2semidirect
2. #20288394C2semidirect
3. #20287011C2semidirect
4. #20286991C2semidirect
5. #20286905C2semidirect
6. #20286878C2semidirect
7. #20286781C2semidirect
8. #20286757C2semidirect
9. #20286638C2semidirect
10. #20286633C2semidirect
11. #20286450C2semidirect
12. #20286345C2semidirect
13. #20286326C2semidirect
14. #20286280C2semidirect
15. #20286263C2semidirect
16. #20286236C2semidirect
17. #20286225C2semidirect
18. #20285821C2semidirect
19. #20285817C2semidirect
20. #20285590C2semidirect
21. #20285563C2semidirect
22. #20285543C2semidirect
23. #20285491C2semidirect
24. #20284998C2semidirect
25. #20284976C2semidirect
26. #20284005C2semidirect
27. #20283997C2semidirect
28. #20283953C2semidirect
29. #20283929C2semidirect
30. #20283757C2semidirect
31. C53×#3282C2semidirect
33. C2×#41×D53C22semidirect
34. C2×#13133249C22semidirect
36. C2×#13133243C22semidirect
39. C2×Q16×D53C22semidirect
44. #16811343C22semidirect
46. #16811337C22semidirect
48. Q8×D212C22semidirect
51. #16811280C22semidirect
52. #16811280C22semidirect
56. #16811275C22semidirect
61. #16811266C22semidirect
62. #16811242C22semidirect
65. #16811238C22semidirect
70. #16811196C22semidirect
72. #16811193C22semidirect
73. #16811190C22semidirect
79. C22⋊Q8×D53C22semidirect
80. #16811105C22semidirect
81. #16811018C22semidirect
82. #16811014C22semidirect
83. #16811006C22semidirect
84. #16810982C22semidirect
85. #16810981C22semidirect
86. #16810974C22semidirect
87. #16810972C22semidirect
88. #16810967C22semidirect
89. #16810967C22semidirect
90. #16810965C22semidirect
91. #16810965C22semidirect
92. #16810963C22semidirect
93. #16810961C22semidirect
94. #16810957C22semidirect
95. #16810955C22semidirect
96. #16810945C22semidirect
97. #16810944C22semidirect
98. #16810940C22semidirect
99. #16810935C22semidirect
100. #16810918C22semidirect
101. #16810912C22semidirect
102. #16810906C22semidirect
103. #16810904C22semidirect
104. #16810880C22semidirect
105. #16810879C22semidirect
106. #16810878C22semidirect
107. #16810873C22semidirect
109. #16810868C22semidirect
110. #16810867C22semidirect
112. #16810864C22semidirect
113. #16810864C22semidirect
114. #16810862C22semidirect
115. #16810856C22semidirect
116. #16810851C22semidirect
117. #16810850C22semidirect
118. #16810843C22semidirect
119. #16810843C22semidirect
120. #16810842C22semidirect
121. #16810837C22semidirect
122. #16810836C22semidirect
123. #16810835C22semidirect
124. #16810834C22semidirect
125. #16810831C22semidirect
126. #16810828C22semidirect
127. #16810826C22semidirect
128. #16810788C22semidirect
129. #16810787C22semidirect
130. #16810787C22semidirect
132. #16810786C22semidirect
133. #16810785C22semidirect
134. #16810785C22semidirect
135. #16810784C22semidirect
136. #16810783C22semidirect
138. #16810782C22semidirect
139. #16810780C22semidirect
140. #16810780C22semidirect
141. #16810779C22semidirect
142. #16810777C22semidirect
143. #16810777C22semidirect
144. #16810774C22semidirect
145. #16810772C22semidirect
148. #16810767C22semidirect
149. #16810767C22semidirect
154. #16810760C22semidirect
155. #16810760C22semidirect
156. #16810760C22semidirect
157. #16810760C22semidirect
158. #16810760C22semidirect
160. #16810733C22semidirect
161. #16810728C22semidirect
162. #16810726C22semidirect
163. #16810724C22semidirect
164. Q16×Dic53C22semidirect
165. C4×#11719913C22semidirect
166. #16810703C22semidirect
167. #16810702C22semidirect
169. #16810695C22semidirect
171. #16810693C22semidirect
172. #16810691C22semidirect
173. C8×C22⋊D53C22semidirect
174. #16810683C22semidirect
175. #16810682C22semidirect
176. #16810632C22semidirect
177. #16810630C22semidirect
178. #16810630C22semidirect
179. #16810626C22semidirect
180. #16810620C22semidirect
181. #16810620C22semidirect
182. #16810619C22semidirect
183. #16810618C22semidirect
184. #16810589C22semidirect
185. #16810588C22semidirect
186. #16810585C22semidirect
187. C2×#13133129C22semidirect
189. C22×SD16×C53C22semidirect
191. C53×#546C22semidirect
192. C53×#495C22semidirect
193. C53×#465C22semidirect
194. C53×#465C22semidirect
195. C53×#464C22semidirect
196. C53×#463C22semidirect
197. C53×#452C22semidirect
198. C53×#451C22semidirect
200. C53×#447C22semidirect
201. C4×SD16×C53C22semidirect
202. C8×D4×C53C22semidirect
933. #3282D53semidirect
974. C22×SD16C2×D53semidirect
998. #546C2×D53semidirect
1021. #495C2×D53semidirect
1056. #465C2×D53semidirect
1057. #465C2×D53semidirect
1061. #464C2×D53semidirect
1065. #463C2×D53semidirect
1081. #452C2×D53semidirect
1087. #451C2×D53semidirect
1105. #447C2×D53semidirect
1112. C4×SD16C2×D53semidirect
1121. C8×D4C2×D53semidirect
1136. C53#61627semidirect

Maximal subgroups

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

subgroupindex
#202889792
#202883942
#202870112
#202869912
#202869052
#202868782
#202867812
#202867572
#202866382
#202866332
#202864502
#202863452
#202863262
#202862802
#202862632
#202862362
#202862252
#202858212
#202858172
#202855902
#202855632
#202855432
#202854912
#202849982
#202849762
#202840052
#202839972
#202839532
#202839292
#202837572
C53×#32822
#6162753