Finite Group Databasebeta

← #28279572

Subgroups — #28279572

Order 13568.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289230C211yesmaximal, characteristic, complemented
2#20288726C211yesmaximal, characteristic, complemented
3#20287782C211yesmaximal, characteristic, complemented
4#20287777C211yesmaximal, characteristic, complemented
5#20287530C211yesmaximal, characteristic, complemented
6#20287527C211yesmaximal, characteristic, complemented
7#20286948C211yesmaximal, characteristic, complemented
8#20286944C211yesmaximal, characteristic, complemented
9#20286874C211yesmaximal, characteristic, complemented
10#20286869C211yesmaximal, characteristic, complemented
11#20286786C211yesmaximal, characteristic, complemented
12#20286779C211yesmaximal, characteristic, complemented
13#20286372C211yesmaximal, characteristic, complemented
14#20286371C211yesmaximal, characteristic, complemented
15#20286228C211yesmaximal, characteristic, complemented
16#20286218C211yesmaximal, characteristic, complemented
17#20286212C211yesmaximal, characteristic, complemented
18#20286203C211yesmaximal, characteristic, complemented
19#20286178C211yesmaximal, characteristic, complemented
20#20286171C211yesmaximal, characteristic, complemented
21#20286101C211yesmaximal, characteristic, complemented
22#20285816C211yesmaximal, characteristic, complemented
23#20285811C211yesmaximal, characteristic, complemented
24#20285716C211yesmaximal, characteristic, complemented
25#20284951C211yesmaximal, characteristic, complemented
26#20284869C211yesmaximal, characteristic, complemented
27#20284236C211yesmaximal, characteristic, complemented
28#20284234C211yesmaximal, characteristic, complemented
29#20284206C211yesmaximal, characteristic, complemented
30#20283880C211yesmaximal, characteristic, complemented
31C53×#3121C211yesmaximal, characteristic, complemented
32C2×#13133249C2211yescharacteristic, complemented
33C2×#13133249C2211yescharacteristic, complemented
34C2×#13133248C2211yescharacteristic, complemented
35C2×#13133244C2211yescharacteristic
36C22×#11719924C2211yescharacteristic, complemented
37C2×SD16×D53C2211yescharacteristic, complemented
38#16811369—21no—
39#16811365—21no—
40#16811358C2211yescharacteristic
41#16811356C2211yescharacteristic
42Q8×Dic106C2211yescharacteristic, complemented
43#16811346—21no—
44#16811346C2211yescharacteristic, complemented
45#16811345—21no—
46#16811345C2211yescharacteristic, complemented
47#16811341—21no—
48#16811341C2211yescharacteristic, complemented
49#16811336—21no—
50#16811336C2211yescharacteristic, complemented
51Q8×C22⋊D53C2211yescharacteristic, complemented
52#16811285C2211yescharacteristic
53#16811285C2211yescharacteristic, complemented
54#16811284C2211yescharacteristic, complemented
55#16811283C2211yescharacteristic
56#16811270C2211yescharacteristic
57#16811266—21no—
58#16811264—21no—
59#16811264C2211yescharacteristic
60D4×D212C2211yescharacteristic
61#16811257C2211yescharacteristic
62#16811247C2211yescharacteristic
63#16811245—21no—
64#16811245C2211yescharacteristic, complemented
65#16811244—21no—
66#16811244C2211yescharacteristic, complemented
67#16811212—21no—
68#16811212—21no—
69#16811209—21no—
70#16811192C2211yescharacteristic
71#16811191C2211yescharacteristic
72#16811184—21no—
73#16811177—21no—
74#16811177C2211yescharacteristic, complemented
75#16811174C2211yescharacteristic
76#16811151—21no—
77#16811151C2211yescharacteristic
78#124×D53C2211yescharacteristic
79#16811099C2211yescharacteristic, complemented
80C4×#11719949C2211yescharacteristic, complemented
81#16811016C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811012C2211yescharacteristic
84#16811009C2211yescharacteristic
85#16811008C2211yescharacteristic, complemented
86#16811007C2211yescharacteristic, complemented
87#16810984C2211yescharacteristic, complemented
88#16810984C2211yescharacteristic, complemented
89#16810983C2211yescharacteristic, complemented
90#16810981C2211yescharacteristic, complemented
91#16810970C2211yescharacteristic
92#16810968C2211yescharacteristic
93#16810967C2211yescharacteristic, complemented
94#16810949C2211yescharacteristic
95#16810949C2211yescharacteristic, complemented
96#16810949C2211yescharacteristic, complemented
97#16810918C2211yescharacteristic, complemented
98#16810917C2211yescharacteristic, complemented
99#16810915C2211yescharacteristic, complemented
100#16810903C2211yescharacteristic, complemented
101#16810902C2211yescharacteristic, complemented
102#16810902C2211yescharacteristic, complemented
103#16810902C2211yescharacteristic, complemented
104#16810900C2211yescharacteristic, complemented
105#16810872C2211yescharacteristic
106#16810872C2211yescharacteristic, complemented
107#16810872C2211yescharacteristic, complemented
108#16810871C2211yescharacteristic, complemented
109#16810870C2211yescharacteristic, complemented
110#16810870C2211yescharacteristic, complemented
111#16810870C2211yescharacteristic, complemented
112#16810867C2211yescharacteristic
113#16810863C2211yescharacteristic, complemented
114#16810862C2211yescharacteristic, complemented
115#16810860C2211yescharacteristic
116#16810857C2211yescharacteristic
117#16810848C2211yescharacteristic, complemented
118#16810848C2211yescharacteristic, complemented
119#16810847C2211yescharacteristic, complemented
120#16810847C2211yescharacteristic, complemented
121#16810846C2211yescharacteristic, complemented
122#16810845C2211yescharacteristic, complemented
123#16810845C2211yescharacteristic, complemented
124#16810845C2211yescharacteristic, complemented
125#16810845C2211yescharacteristic, complemented
126#16810845C2211yescharacteristic, complemented
127#16810843C2211yescharacteristic, complemented
128#16810842C2211yescharacteristic, complemented
129#16810841C2211yescharacteristic, complemented
130#16810841C2211yescharacteristic, complemented
131#16810839C2211yescharacteristic, complemented
132#16810838C2211yescharacteristic, complemented
133#16810837C2211yescharacteristic, complemented
134#16810835C2211yescharacteristic, complemented
135#16810827C2211yescharacteristic, complemented
136#16810827C2211yescharacteristic, complemented
137#16810824C2211yescharacteristic, complemented
138#16810823C2211yescharacteristic
139#16810823C2211yescharacteristic
140#16810823C2211yescharacteristic, complemented
141#16810823C2211yescharacteristic, complemented
142#16810822C2211yescharacteristic
143#16810821C2211yescharacteristic
144#16810819C2211yescharacteristic, complemented
145#16810787C2211yescharacteristic, complemented
146#16810784C2211yescharacteristic, complemented
147#16810780C2211yescharacteristic, complemented
148#16810780C2211yescharacteristic, complemented
149#16810777C2211yescharacteristic, complemented
150#16810776C2211yescharacteristic, complemented
151#16810775C2211yescharacteristic
152#16810772C2211yescharacteristic
153#16810772C2211yescharacteristic, complemented
154#16810771C2211yescharacteristic, complemented
155#16810771C2211yescharacteristic, complemented
156#16810771C2211yescharacteristic, complemented
157#16810770C2211yescharacteristic, complemented
158#16810763C2211yescharacteristic
159#16810759C2211yescharacteristic, complemented
160#16810758C2211yescharacteristic, complemented
161#16810753C2211yescharacteristic, complemented
162#16810751C2211yescharacteristic, complemented
163#16810734C2211yescharacteristic, complemented
164#16810734C2211yescharacteristic, complemented
165#16810729C2211yescharacteristic, complemented
166#16810726C2211yescharacteristic, complemented
167#16810726C2211yescharacteristic, complemented
168#16810726C2211yescharacteristic, complemented
169#16810715C2211yescharacteristic, complemented
170#16810710C2211yescharacteristic, complemented
171#16810702C2211yescharacteristic, complemented
172#16810698C2211yescharacteristic, complemented
173#16810697C2211yescharacteristic, complemented
174#16810696C2211yescharacteristic, complemented
175#16810691C2211yescharacteristic, complemented
176#16810691C2211yescharacteristic, complemented
177#16810683C2211yescharacteristic, complemented
178#16810679C2211yescharacteristic, complemented
179#16810650C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810645C2211yescharacteristic, complemented
182#16810630C2211yescharacteristic, complemented
183#16810627C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic
185#16810626C2211yescharacteristic, complemented
186#16810618C2211yescharacteristic, complemented
187#16810617C2211yescharacteristic, complemented
188C53×#542C2211yescharacteristic
189C53×#519C2211yescharacteristic, complemented
190C53×#485C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic
192C53×#477C2211yescharacteristic, complemented
193C53×#475C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic, complemented
195C53×#464C2211yescharacteristic, complemented
196C53×#451C2211yescharacteristic, complemented
197C53×#448C2211yescharacteristic
198C53×#441C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C4×Q16×C53C2211yescharacteristic, complemented
201C4×SD16×C53C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic, complemented
203C2×#11719949—21no—
204C2×#11719949C2311yescharacteristic
205C2×#11719949C2311yescharacteristic
206C2×#11719945C2311yescharacteristic
207C2×Q8×D53C2311yescharacteristic
208C2×Q8×D53C2311yescharacteristic
209C22×D212—21no—
210C22×D212C2311yescharacteristic
211C2×D4×D53—21no—
212C2×D4×D53C2311yescharacteristic
213C2×D4×D53C2311yescharacteristic
214#13133249—42no—
215#13133249—42no—
216#13133248—42no—
217#13133244—42no—
218C2×Dic212C2311yescharacteristic
219C2×#11719925C2311yescharacteristic
220C2×#11719925C2311yescharacteristic
221C2×#11719925C2311yescharacteristic
222C2×#11719913C2311yescharacteristic
223C2×#11719913C2311yescharacteristic
224C2×#11719913C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719923C2311yescharacteristic
227C2×#11719924—42no—
228C2×#11719924C2311yescharacteristic
229C2×#11719924C2311yescharacteristic
230C2×#11719924C2311yescharacteristic
231C2×#11719924C2311yescharacteristic
232C2×#11719924C2311yescharacteristic
233C2×#11719924C2311yescharacteristic
234C2×#11719924C2311yescharacteristic
235SD16×D53—42no—
236C2×D424C2311yescharacteristic
237C2×D424C2311yescharacteristic
238C2×D424C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719917C2311yescharacteristic
241C2×#11719912C2311yescharacteristic
242C2×#11719912C2311yescharacteristic
243C2×#11719912C2311yescharacteristic
244C22×#88322C2311yescharacteristic
245C2×C8×D53C2311yescharacteristic
246#13133217—21no—
247#13133217C2311yescharacteristic
248#13133216—21no—
249#13133216—21no—
250#13133216C2311yescharacteristic
251#13133216C2311yescharacteristic
252#13133215—21no—
253#13133215C2311yescharacteristic
254#13133214C2311yescharacteristic
255#13133214C2311yescharacteristic
256#13133213C2311yescharacteristic
257#13133212—21no—
258#13133212—21no—
259#13133212—21no—
260#13133212—21no—
261#13133212—21no—
262#13133212D411yescharacteristic
263#13133211—21no—
264#13133211—21no—
265#13133211—21no—
266#13133210—21no—
267#13133210D411yescharacteristic
268#13133207—21no—
269#13133207D411yescharacteristic
270#13133206—21no—
271#13133206—21no—
272#13133206—21no—
273#13133206C2311yescharacteristic
274#13133206C2311yescharacteristic
275#13133206C2311yescharacteristic
276#13133205—21no—
277#13133205—21no—
278#13133205—21no—
279#13133205—21no—
280#13133205—21no—
281#13133205—21no—
282#13133205C2311yescharacteristic
283#13133205C2311yescharacteristic
284#13133205C2311yescharacteristic
285#13133204C2311yescharacteristic
286#13133203—21no—
287#13133203—21no—
288#13133203—21no—
289#13133203—21no—
290#13133203—21no—
291#13133203—21no—
292#13133203—21no—
293#13133203D411yescharacteristic
294#13133202—21no—
295#13133202—21no—
296#13133202—21no—
297#13133202—21no—
298#13133202—21no—
299#13133202D411yescharacteristic
300#13133200—21no—
301#13133199—21no—
302#13133199—21no—
303#13133199—21no—
304#13133199D411yescharacteristic
305#13133197—21no—
306#13133197—21no—
307#13133197C2311yescharacteristic
308#13133197C2311yescharacteristic
309#13133196—21no—
310#13133196C2311yescharacteristic
311#13133195—21no—
312#13133195—21no—
313#13133195—21no—
314#13133195—21no—
315#13133195—21no—
316#13133195D411yescharacteristic
317#13133193—21no—
318#13133193—21no—
319#13133193—21no—
320#13133193C2311yescharacteristic
321#13133193C2311yescharacteristic
322#13133192—21no—
323#13133192—21no—
324#13133192—21no—
325#13133192—21no—
326#13133192—21no—
327#13133192—21no—
328#13133192C2311yescharacteristic
329#13133192C2311yescharacteristic
330#13133192C2311yescharacteristic
331#13133192C2311yescharacteristic
332#13133191—21no—
333#13133191—21no—
334#13133191C2311yescharacteristic
335#13133190—21no—
336#13133190—21no—
337#13133190—21no—
338#13133190—21no—
339#13133190—21no—
340#13133190D411yescharacteristic
341#13133188—21no—
342#13133187—21no—
343#13133187—21no—
344#13133187—21no—
345#13133187—21no—
346#13133187—21no—
347#13133187—21no—
348#13133187—21no—
349#13133187—21no—
350#13133185—21no—
351#13133185—21no—
352Q8×Dic53C2311yescharacteristic
353Q8×Dic53C2311yescharacteristic
354C4×Dic106—21no—
355C4×Dic106—21no—
356C4×Dic106—21no—
357C4×Dic106—21no—
358C4×Dic106—21no—
359C4×Dic106C2311yescharacteristic
360C4×Dic106C2311yescharacteristic
361#13133182—21no—
362#13133182C2311yescharacteristic
363#13133182C2311yescharacteristic
364C4×D212—21no—
365C4×D212—21no—
366C4×D212—21no—
367C4×D212—21no—
368C4×D212C2311yescharacteristic
369C4×D212C2311yescharacteristic
370#13133179—21no—
371#13133179—21no—
372#13133179—21no—
373#13133179C2311yescharacteristic
374#13133179C2311yescharacteristic
375#13133179C2311yescharacteristic
376#13133179C2311yescharacteristic
377C4×C22⋊D53—21no—
378C4×C22⋊D53—21no—
379C4×C22⋊D53—21no—
380C4×C22⋊D53C2311yescharacteristic
381C4×C22⋊D53C2311yescharacteristic
382#13133175—21no—
383#13133175—21no—
384#13133175C2311yescharacteristic
385#13133175C2311yescharacteristic
386#13133174—21no—
387#13133174—21no—
388#13133174—21no—
389#13133174—21no—
390#13133174C2311yescharacteristic
391C22⋊C4×D53—21no—
392C22⋊C4×D53—21no—
393C22⋊C4×D53—21no—
394C22⋊C4×D53—21no—
395C42×D53—21no—
396C42×D53C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133150C2311yescharacteristic
401C4⋊#88322C2311yescharacteristic
402C4⋊#88322C2311yescharacteristic
403C4⋊#88322C2311yescharacteristic
404C4⋊#88322C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133127C2311yescharacteristic
438#13133127C2311yescharacteristic
439#13133127C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C22×Q8×C53C2311yescharacteristic
442C2×Q16×C53C2311yescharacteristic
443C2×Q16×C53C2311yescharacteristic
444C2×SD16×C53C2311yescharacteristic
445C2×SD16×C53C2311yescharacteristic
446C4⋊Q8×C53C2311yescharacteristic
447#126×C53—21no—
448#124×C53—21no—
449#124×C53C2311yescharacteristic
450#123×C53—21no—
451C22⋊Q8×C53—21no—
452C22⋊Q8×C53C2311yescharacteristic
453#121×C53C2311yescharacteristic
454C4×Q8×C53—21no—
455C4×Q8×C53—21no—
456C4×Q8×C53C2311yescharacteristic
457C4×Q8×C53C2311yescharacteristic
458C4×Q8×C53C2311yescharacteristic
459C4×Q8×C53C2311yescharacteristic
460C4×Q8×C53C2311yescharacteristic
461C4×D4×C53C2311yescharacteristic
462#117×C53—21no—
463#117×C53—21no—
464#117×C53C2311yescharacteristic
465#117×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480C22⋊C8×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482#97×C53C2311yescharacteristic
483C4×C8×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53—21no—
486C23×D53—21no—
487C2×Q8×C53—21no—
488C2×Q8×C53—21no—
489C2×Q8×C53—22no—
490C2×Q8×C53—41no—
491C2×Q8×C53C2411yescharacteristic
492C2×Q8×C53C2411yescharacteristic
493C2×Q8×C53C2411yescharacteristic
494C2×D4×C53—21no—
495C2×D4×C53C2411yescharacteristic
496C22×C4×C53—21no—
497C22×C4×C53—21no—
498C22×C4×C53C2411yescharacteristic
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53C2×D411yescharacteristic
506C2×C22⋊D53C2×D411yescharacteristic
507#11719949—22no—
508#11719949—41no—
509#11719949—41no—
510#11719949—41no—
511#11719949—82no—
512Q8×D53—22no—
513Q8×D53—41no—
514Q8×D53—41no—
515Q8×D53—41no—
516D4×D53—41no—
517D4×D53—41no—
518D4×D53—41no—
519D4×D53—41no—
520D4×D53—82no—
521#11719945—41no—
522#11719945—41no—
523C2×D212—21no—
524C2×D212—21no—
525C2×D212—21no—
526C2×D212—21no—
527C2×D212—21no—
528C2×D212—21no—
529C2×D212—21no—
530C2×D212—21no—
531C2×D212—21no—
532C2×D212—21no—
533C2×D212—21no—
534C2×D212—41no—
535C2×D212—41no—
536C2×D212—82no—
537C2×D212C2×D411yescharacteristic
538C2×D212C2411yescharacteristic
539C2×D212C2411yescharacteristic
540C2×D212C2411yescharacteristic
541C2×D212C2411yescharacteristic
542C2×C4×D53—21no—
543C2×C4×D53—21no—
544C2×C4×D53—21no—
545C2×C4×D53—21no—
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53C2×D411yescharacteristic
553C2×C4×D53C2×D411yescharacteristic
554C2×C4×D53C2411yescharacteristic
555C2×C4×D53C2411yescharacteristic
556C2×Dic106—21no—
557C2×Dic106—21no—
558C2×Dic106—21no—
559C2×Dic106—21no—
560C2×Dic106—21no—
561C2×Dic106C2×D411yescharacteristic
562C2×Dic106C2411yescharacteristic
563C2×Dic106C2411yescharacteristic
564Q16×C53—22no—
565Q16×C53—41no—
566SD16×C53—22no—
567SD16×C53—41no—
568C2×C8×C53C2411yescharacteristic
569C2×C8×C53C2411yescharacteristic
570C2×C8×C53C2411yescharacteristic
571C2×C8×C53C2411yescharacteristic
572C4⋊C4×C53—21no—
573C4⋊C4×C53—21no—
574C4⋊C4×C53—21no—
575C4⋊C4×C53—21no—
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53—21no—
579C4⋊C4×C53C2×D411yescharacteristic
580C4⋊C4×C53C2×D411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C4⋊C4×C53C2411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C4⋊C4×C53C2411yescharacteristic
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C22⋊C4×C53C2×D411yescharacteristic
592C22⋊C4×C53C2×D411yescharacteristic
593C42×C53—21no—
594C42×C53—21no—
595C42×C53—21no—
596C42×C53—21no—
597C42×C53—21no—
598C42×C53—21no—
599C42×C53C2411yescharacteristic
600C42×C53C2411yescharacteristic
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53C2×D411yescharacteristic
605C22⋊Dic53C2×D411yescharacteristic
606#11719925—22no—
607#11719925—41no—
608#11719925—41no—
609#11719924—22no—
610#11719924—22no—
611#11719924—22no—
612#11719924—41no—
613#11719924—41no—
614#11719924—41no—
615#11719924—41no—
616#11719923—41no—
617#11719922—41no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921—21no—
638#11719921—21no—
639#11719921—21no—
640#11719921—21no—
641#11719921—21no—
642#11719921—21no—
643#11719921—21no—
644#11719921—21no—
645#11719921—21no—
646#11719921C2×D411yescharacteristic
647#11719921C2×D411yescharacteristic
648#11719921C2×D411yescharacteristic
649#11719921C2×D411yescharacteristic
650#11719921C2×D411yescharacteristic
651#11719921C2×D411yescharacteristic
652C4⋊Dic53—21no—
653C4⋊Dic53—21no—
654C4⋊Dic53—21no—
655C4⋊Dic53—21no—
656C4⋊Dic53—21no—
657C4⋊Dic53C2×D411yescharacteristic
658C4⋊Dic53C2×D411yescharacteristic
659C4⋊Dic53C2411yescharacteristic
660C4⋊Dic53C2411yescharacteristic
661#11719919—21no—
662#11719919—21no—
663#11719919—21no—
664#11719919—21no—
665#11719919—21no—
666#11719919—21no—
667#11719919—21no—
668#11719919—21no—
669#11719919—21no—
670#11719919—21no—
671#11719919C2×D411yescharacteristic
672#11719919C2×D411yescharacteristic
673#11719919C2×D411yescharacteristic
674#11719919C2×D411yescharacteristic
675#11719919C2×D411yescharacteristic
676#11719919C2×D411yescharacteristic
677C4×Dic53—21no—
678C4×Dic53—21no—
679C4×Dic53—21no—
680C4×Dic53—21no—
681C4×Dic53—21no—
682C4×Dic53—21no—
683C4×Dic53—21no—
684C4×Dic53C2×D411yescharacteristic
685C4×Dic53C2×D411yescharacteristic
686C4×Dic53C2411yescharacteristic
687C4×Dic53C2411yescharacteristic
688#11719917—41no—
689C2×#88322—41no—
690C2×#88322C2411yescharacteristic
691C2×#88322C2411yescharacteristic
692C2×#88322C2411yescharacteristic
693C2×#88322C2411yescharacteristic
694Dic212—41no—
695D424—41no—
696D424—41no—
697D424—41no—
698#11719913—41no—
699#11719913—41no—
700#11719913—41no—
701#11719913—41no—
702#11719912—41no—
703#11719912—41no—
704#11719912—41no—
705C8×D53—41no—
706C23×C53—21no—
707C23×C53C22×D411yescharacteristic
708C22×D53—21no—
709C22×D53—21no—
710C22×D53—21no—
711C22×D53—21no—
712C22×D53—42no—
713C22×D53—81no—
714C22×D53—81no—
715C22×D53—81no—
716C22×D53—81no—
717C22×D53—81no—
718C22×D53—81no—
719C22×D53—81no—
720C22×D53—81no—
721C22×D53C22×D411yescharacteristic
722C22×D53C22×D411yescharacteristic
723Q8×C53—21no—
724Q8×C53—21no—
725Q8×C53—21no—
726Q8×C53—21no—
727Q8×C53—21no—
728Q8×C53—42no—
729Q8×C53—81no—
730Q8×C53H(5,𝔽2)12yes—
731D4×C53—21no—
732D4×C53—21no—
733D4×C53—81no—
734C2×C4×C53—21no—
735C2×C4×C53—21no—
736C2×C4×C53—21no—
737C2×C4×C53—21no—
738C2×C4×C53—21no—
739C2×C4×C53—21no—
740C2×C4×C53—21no—
741C2×C4×C53—21no—
742C2×C4×C53—21no—
743C2×C4×C53—42no—
744C2×C4×C53—81no—
745C2×C4×C53C22×D411yescharacteristic
746C2×C4×C53C22×D411yescharacteristic
747C2×C4×C53C22×D411yescharacteristic
748C2×C4×C53C22×D411yescharacteristic
749C2×C4×C53C22×D411yescharacteristic
750C2×C4×C53C2511yescharacteristic
751C22⋊D53—41no—
752C22⋊D53—41no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C22⋊D53—81no—
756C22⋊D53—81no—
757C22⋊D53—81no—
758C22⋊D53—81no—
759C2×Dic53—21no—
760C2×Dic53—21no—
761C2×Dic53—21no—
762C2×Dic53—21no—
763C2×Dic53C22×D411yescharacteristic
764C2×Dic53C22×D411yescharacteristic
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769D212—21no—
770D212—21no—
771D212—21no—
772D212—21no—
773D212—21no—
774D212—21no—
775D212—21no—
776D212—21no—
777D212—41no—
778D212—42no—
779D212—42no—
780D212—42no—
781D212—81no—
782D212—81no—
783D212—81no—
784D212—81no—
785D212—81no—
786D212—81no—
787D212—81no—
788D212—81no—
789C4×D53—21no—
790C4×D53—21no—
791C4×D53—21no—
792C4×D53—21no—
793C4×D53—41no—
794C4×D53—41no—
795C4×D53—42no—
796C4×D53—42no—
797C4×D53—42no—
798C4×D53—81no—
799C4×D53—81no—
800C4×D53—81no—
801C4×D53—81no—
802C4×D53—81no—
803C4×D53—81no—
804C4×D53—81no—
805Dic106—21no—
806Dic106—21no—
807Dic106—21no—
808Dic106—21no—
809Dic106—41no—
810Dic106—42no—
811Dic106—81no—
812Dic106—81no—
813Dic106—81no—
814Dic106—81no—
815C8×C53—21no—
816C8×C53—21no—
817C8×C53—21no—
818C8×C53—21no—
819#88322—21no—
820#88322—21no—
821#88322—21no—
822#88322—21no—
823#62092—531nomaximal, Sylow
824C22×C53—21no—
825C22×C53—21no—
826C22×C53—21no—
827C22×C53—41no—
828C22×C53—41no—
829C22×C53—41no—
830C22×C53C23×D411yescharacteristic
831C2×D53—21no—
832C2×D53—21no—
833C2×D53—21no—
834C2×D53—21no—
835C2×D53—21no—
836C2×D53—21no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—41no—
844C2×D53—41no—
845C2×D53—41no—
846C2×D53—41no—
847C2×D53—41no—
848C2×D53—41no—
849C2×D53—162no—
850C2×D53—162no—
851C2×D53—162no—
852C4×C53—21no—
853C4×C53—21no—
854C4×C53—21no—
855C4×C53—21no—
856C4×C53—22no—
857C4×C53—21no—
858C4×C53—41no—
859C4×C53—41no—
860C4×C53—41no—
861C4×C53—41no—
862C4×C53—41no—
863C4×C53—41no—
864C4×C53C2×H(5,𝔽2)11yescharacteristic
865C4×C53#58511yescharacteristic
866Dic53—21no—
867Dic53—21no—
868Dic53—21no—
869Dic53—21no—
870Dic53—21no—
871Dic53—21no—
872Dic53—41no—
873Dic53—41no—
874Dic53—41no—
875Dic53—41no—
876#3558—531no—
877#3518—531no—
878#3401—531no—
879#3401—531no—
880#3375—531no—
881#3375—531no—
882#3324—531no—
883#3324—531no—
884#3319—531no—
885#3319—531no—
886#3313—531no—
887#3313—531no—
888#3277—531no—
889#3277—531no—
890#3266—531no—
891#3266—531no—
892#3265—531no—
893#3265—531no—
894#3262—531no—
895#3262—531no—
896#3254—531no—
897#3224—531no—
898#3224—531no—
899#3215—531no—
900#3121—531no—
901#3121D5311yescharacteristic, complemented
902#3115—531no—
903#3043—531no—
904#3043—531no—
905#3040—531no—
906#2995—531no—
907C2×C53—41no—
908C2×C53—81no—
909C2×C53#348811yescharacteristic
910C2×C53#358511yescharacteristic
911C2×C53#358611yescharacteristic
912D53—41no—
913D53—41no—
914D53—81no—
915D53—81no—
916D53—81no—
917D53—81no—
918C2×#137—531no—
919C2×#137—531no—
920C2×#137—531no—
921C2×AGL(1,ℤ/8)—531no—
922C22×SD16—531no—
923C22×SD16—531no—
924#562—1061no—
925H(3,𝔽4)—1061no—
926#559—531no—
927#559—531no—
928Q82—531no—
929#556—531no—
930#556—531no—
931#556—531no—
932#556—1061no—
933#556—1061no—
934#556—1061no—
935#555—531no—
936#555—1061no—
937D4×Q8—531no—
938#548—531no—
939#548—531no—
940#548—531no—
941#548—531no—
942#546—531no—
943#546—531no—
944#546—1061no—
945#546—1061no—
946D42—531no—
947D42—531no—
948#542—531no—
949#542—531no—
950#542—531no—
951#542—1061no—
952#542—1061no—
953#542C2×D5311yescharacteristic
954#538—1061no—
955#538—1061no—
956#538—1061no—
957#535—531no—
958#535—531no—
959#534—1061no—
960#533—531no—
961#533—1061no—
962#532—531no—
963#529—531no—
964#529—1061no—
965C2×#124—531no—
966#519—531no—
967#519C2×D5311yescharacteristic, complemented
968C4×#41—531no—
969#497—531no—
970#497—531no—
971#496—531no—
972#496—531no—
973#495—531no—
974#495—531no—
975#489—531no—
976#489—531no—
977#489—531no—
978#489—531no—
979#486—531no—
980#486—531no—
981#485—531no—
982#485C2×D5311yescharacteristic, complemented
983#482—531no—
984#482—531no—
985#482—531no—
986#482C2×D5311yescharacteristic
987#477—531no—
988#477—531no—
989#477—531no—
990#477C2×D5311yescharacteristic, complemented
991#475C2×D5311yescharacteristic, complemented
992#474—531no—
993#474—531no—
994#474—531no—
995#474—531no—
996#474—531no—
997#468—531no—
998#468—531no—
999#468—531no—
1000#468—531no—
1001#468—531no—
1002#468—531no—
1003#468—531no—
1004#468—531no—
1005#467—531no—
1006#467—531no—
1007#466—531no—
1008#466—531no—
1009#464—531no—
1010#464—531no—
1011#464—531no—
1012#464—531no—
1013#464—531no—
1014#464—531no—
1015#464—531no—
1016#464—531no—
1017#464—531no—
1018#464—531no—
1019#464—531no—
1020#464—531no—
1021#464C2×D5311yescharacteristic, complemented
1022#464C2×D5311yescharacteristic, complemented
1023#463—531no—
1024#463—531no—
1025#463—531no—
1026#463—531no—
1027#463—531no—
1028#463—531no—
1029#461—531no—
1030#461—531no—
1031#460—531no—
1032#460—531no—
1033#460—531no—
1034#460—531no—
1035#460—531no—
1036#460—531no—
1037#460—531no—
1038#459—531no—
1039#452—531no—
1040#452—531no—
1041#451—531no—
1042#451—531no—
1043#451—531no—
1044#451C2×D5311yescharacteristic, complemented
1045#450—531no—
1046#450—531no—
1047#450—531no—
1048#450—531no—
1049#449—531no—
1050#449—531no—
1051#449—531no—
1052#449—531no—
1053#448—531no—
1054#448C2×D5311yescharacteristic
1055#447—531no—
1056#447—531no—
1057#446—531no—
1058#446—531no—
1059#442—531no—
1060#442—531no—
1061#441—531no—
1062#441C2×D5311yescharacteristic, complemented
1063#440—531no—
1064#440—531no—
1065#440—531no—
1066#440C2×D5311yescharacteristic, complemented
1067C4×Q16—531no—
1068C4×Q16C2×D5311yescharacteristic, complemented
1069C4×SD16—531no—
1070C4×SD16C2×D5311yescharacteristic, complemented
1071#436—531no—
1072#436—531no—
1073#435—531no—
1074#435—531no—
1075#435—531no—
1076#435—531no—
1077#433—531no—
1078#433C2×D5311yescharacteristic, complemented
1079#432—531no—
1080#424—531no—
1081#424—531no—
1082#423—531no—
1083#419—531no—
1084#418—531no—
1085#418—531no—
1086#418—531no—
1087#416—531no—
1088#416—531no—
1089C53#6209211yescharacteristic, complemented, Sylow
1090C2×#41—531no—
1091C2×#41—531no—
1092C2×#41—531no—
1093C2×#41—1061no—
1094C22×Q8—531no—
1095C22×Q8—531no—
1096C22×Q8C22×D5311yescharacteristic
1097C22×D4—531no—
1098C22×D4—531no—
1099C22×D4—531no—
1100C22×D4—1061no—
1101C22×D4—1061no—
1102#137—2122no—
1103#137—2122no—
1104#137—2122no—
1105AGL(1,ℤ/8)—2122no—
1106C2×Q16—531no—
1107C2×Q16—531no—
1108C2×Q16—531no—
1109C2×Q16—531no—
1110C2×Q16C22×D5311yescharacteristic
1111C2×Q16C22×D5311yescharacteristic
1112C2×SD16—531no—
1113C2×SD16—531no—
1114C2×SD16—531no—
1115C2×SD16—531no—
1116C2×SD16—531no—
1117C2×SD16—531no—
1118C2×SD16—531no—
1119C2×SD16—531no—
1120C2×SD16—531no—
1121C2×SD16—531no—
1122C2×SD16—531no—
1123C2×SD16—531no—
1124C2×SD16—2122no—
1125C2×SD16—2122no—
1126C2×SD16C22×D5311yescharacteristic
1127C2×SD16C22×D5311yescharacteristic
1128C2×D8—531no—
1129C2×D8—531no—
1130C2×D8—531no—
1131C2×D8—531no—
1132C2×M16—531no—
1133C2×M16—531no—
1134C2×M16—531no—
1135C2×M16—531no—
1136C22×C8—531no—
1137C22×C8—531no—
1138C4⋊Q8—531no—
1139C4⋊Q8—531no—
1140C4⋊Q8—531no—
1141C4⋊Q8—531no—
1142C4⋊Q8—1061no—
1143C4⋊Q8—1061no—
1144C4⋊Q8—1061no—
1145C4⋊Q8—1061no—
1146C4⋊Q8C22×D5311yescharacteristic
1147#127—531no—
1148#127—531no—
1149#127—531no—
1150#126—21no—
1151#126—531no—
1152#126—531no—
1153#126—1061no—
1154#126—1061no—
1155#126—1061no—
1156#126—1061no—
1157#126—1061no—
1158#126—1061no—
1159#126—1061no—
1160#126—1061no—
1161#126—1061no—
1162#125—531no—
1163#125—1061no—
1164#124—21no—
1165#124—531no—
1166#124—531no—
1167#124—531no—
1168#124—531no—
1169#124—531no—
1170#124—531no—
1171#124—531no—
1172#124—531no—
1173#124—1061no—
1174#124—1061no—
1175#124—1061no—
1176#124—1061no—
1177#124—1061no—
1178#124—1061no—
1179#124—1061no—
1180#124—1061no—
1181#124—1061no—
1182#124—1061no—
1183#124—1061no—
1184#124—1061no—
1185#124—1061no—
1186#124—1061no—
1187#124—1061no—
1188#124—1061no—
1189#124C22×D5311yescharacteristic
1190#123—21no—
1191#123—531no—
1192#123—531no—
1193#123—1061no—
1194#123—1061no—
1195#123—1061no—
1196#123—1061no—
1197#123—1061no—
1198#123—1061no—
1199#123—1061no—
1200#123—1061no—
1201#123—1061no—
1202C22⋊Q8—21no—
1203C22⋊Q8—531no—
1204C22⋊Q8—531no—
1205C22⋊Q8—531no—
1206C22⋊Q8—531no—
1207C22⋊Q8—531no—
1208C22⋊Q8—531no—
1209C22⋊Q8—1061no—
1210C22⋊Q8—1061no—
1211C22⋊Q8—1061no—
1212C22⋊Q8—1061no—
1213C22⋊Q8—1061no—
1214C22⋊Q8—1061no—
1215C22⋊Q8—1061no—
1216C22⋊Q8—1061no—
1217C22⋊Q8—1061no—
1218C22⋊Q8—1061no—
1219C22⋊Q8—1061no—
1220C22⋊Q8C22×D5311yescharacteristic
1221#121—531no—
1222#121—531no—
1223#121—531no—
1224#121—531no—
1225#121—531no—
1226#121—531no—
1227#121—1061no—
1228#121—1061no—
1229#121—1061no—
1230#121—1061no—
1231#121—1061no—
1232#121—1061no—
1233#121—1061no—
1234#121—1061no—
1235#121—1061no—
1236#121—1061no—
1237#121—1061no—
1238#121—1061no—
1239#121—1061no—
1240#121—1061no—
1241#121C22×D5311yescharacteristic
1242#120—1061no—
1243#120—1061no—
1244#120—1061no—
1245#120—1061no—
1246#120—1061no—
1247#120—1061no—
1248#120—1061no—
1249#120—1061no—
1250#120—1061no—
1251#120—1061no—
1252C4×Q8—21no—
1253C4×Q8—21no—
1254C4×Q8—531no—
1255C4×Q8—531no—
1256C4×Q8—531no—
1257C4×Q8—531no—
1258C4×Q8—531no—
1259C4×Q8—531no—
1260C4×Q8—1061no—
1261C4×Q8—1061no—
1262C4×Q8—1061no—
1263C4×Q8—1061no—
1264C4×Q8—1061no—
1265C4×Q8—1061no—
1266C4×Q8C22×D5311yescharacteristic
1267C4×Q8C22×D5311yescharacteristic
1268C4×Q8C22×D5311yescharacteristic
1269C4×Q8C22×D5311yescharacteristic
1270C4×Q8C22×D5311yescharacteristic
1271C4×D4—531no—
1272C4×D4—531no—
1273C4×D4—531no—
1274C4×D4—531no—
1275C4×D4—531no—
1276C4×D4—531no—
1277C4×D4—531no—
1278C4×D4—531no—
1279C4×D4—1061no—
1280C4×D4—1061no—
1281C4×D4—1061no—
1282C4×D4—1061no—
1283C4×D4—1061no—
1284C4×D4—1061no—
1285C4×D4—1061no—
1286C4×D4—1061no—
1287C4×D4—1061no—
1288C4×D4—1061no—
1289C4×D4C22×D5311yescharacteristic
1290#117—21no—
1291#117—21no—
1292#117—531no—
1293#117—531no—
1294#117—531no—
1295#117—1061no—
1296#117—1061no—
1297#117—1061no—
1298#117—1061no—
1299#117—1061no—
1300#117—1061no—
1301#117C22×D5311yescharacteristic
1302#117C22×D5311yescharacteristic
1303C2×C22⋊C4—1061no—
1304C2×C22⋊C4—1061no—
1305C2×C22⋊C4—1061no—
1306C2×C22⋊C4—1061no—
1307C2×C42—531no—
1308C2×C42—1061no—
1309#107—531no—
1310#107—531no—
1311#107—531no—
1312#107—531no—
1313#107C22×D5311yescharacteristic
1314#107C22×D5311yescharacteristic
1315#106C22×D5311yescharacteristic
1316#106C22×D5311yescharacteristic
1317C4⋊C8—531no—
1318C4⋊C8—531no—
1319C4⋊C8—531no—
1320C4⋊C8—531no—
1321C4⋊C8—531no—
1322C4⋊C8—531no—
1323C4⋊C8—531no—
1324C4⋊C8—531no—
1325C4⋊C8C22×D5311yescharacteristic
1326C4⋊C8C22×D5311yescharacteristic
1327#103—531no—
1328#103—531no—
1329#103—531no—
1330#103—531no—
1331#103—531no—
1332#103—531no—
1333#103—531no—
1334#103—531no—
1335#103C22×D5311yescharacteristic
1336#103C22×D5311yescharacteristic
1337#103C22×D5311yescharacteristic
1338#103C22×D5311yescharacteristic
1339#103C22×D5311yescharacteristic
1340#103C22×D5311yescharacteristic
1341#102—531no—
1342#102—531no—
1343#102—531no—
1344#102—531no—
1345#102—531no—
1346#102—531no—
1347#102—531no—
1348#102—531no—
1349#102—531no—
1350#102—531no—
1351#102—531no—
1352#102—531no—
1353#102—531no—
1354#102—531no—
1355#102—531no—
1356#102—531no—
1357#102C22×D5311yescharacteristic
1358#102C22×D5311yescharacteristic
1359C22⋊C8—531no—
1360C22⋊C8—531no—
1361C22⋊C8—531no—
1362C22⋊C8—531no—
1363C22⋊C8C22×D5311yescharacteristic
1364C22⋊C8C22×D5311yescharacteristic
1365#97—531no—
1366#97—531no—
1367#97—531no—
1368#97C22×D5311yescharacteristic
1369C4×C8—531no—
1370C4×C8C22×D5311yescharacteristic
1371C24—1061no—
1372C24—1061no—
1373C24—1061no—
1374#41—1062no—
1375#41—4242no—
1376#41—2121no—
1377#41—2121no—
1378#41—2121no—
1379#41—2121no—
1380#41—2121no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—41no—
1385C2×Q8—531no—
1386C2×Q8—531no—
1387C2×Q8—531no—
1388C2×Q8—1061no—
1389C2×Q8—1061no—
1390C2×Q8—1061no—
1391C2×Q8—1061no—
1392C2×Q8—1061no—
1393C2×Q8—1062no—
1394C2×Q8—2121no—
1395C2×Q8—2121no—
1396C2×Q8—2121no—
1397C2×Q8C23×D5311yescharacteristic
1398C2×Q8C23×D5311yescharacteristic
1399C2×Q8C23×D5311yescharacteristic
1400C2×D4—21no—
1401C2×D4—531no—
1402C2×D4—531no—
1403C2×D4—531no—
1404C2×D4—531no—
1405C2×D4—531no—
1406C2×D4—531no—
1407C2×D4—531no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—1061no—
1415C2×D4—1061no—
1416C2×D4—1061no—
1417C2×D4—1061no—
1418C2×D4—1061no—
1419C2×D4—1061no—
1420C2×D4—1061no—
1421C2×D4—1061no—
1422C2×D4—1061no—
1423C2×D4—1061no—
1424C2×D4—1061no—
1425C2×D4—4242no—
1426C2×D4—4242no—
1427C2×D4—2121no—
1428C2×D4—2121no—
1429C2×D4—2121no—
1430C2×D4—2121no—
1431C2×D4—2121no—
1432C2×D4—2121no—
1433C2×D4C23×D5311yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—531no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—531no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4—1061no—
1444C22×C4—1061no—
1445C22×C4—1061no—
1446C22×C4—1061no—
1447C22×C4—1061no—
1448C22×C4—1061no—
1449C22×C4—1061no—
1450C22×C4C23×D5311yescharacteristic
1451Q16—22no—
1452Q16—41no—
1453Q16—1062no—
1454Q16—2121no—
1455Q16—2121no—
1456Q16—2121no—
1457SD16—22no—
1458SD16—41no—
1459SD16—1062no—
1460SD16—1062no—
1461SD16—1062no—
1462SD16—2121no—
1463SD16—2121no—
1464SD16—2121no—
1465SD16—2121no—
1466SD16—2121no—
1467SD16—2121no—
1468SD16—2121no—
1469SD16—2121no—
1470SD16—2121no—
1471D8—2121no—
1472D8—2121no—
1473D8—2121no—
1474D8—2121no—
1475M16—2121no—
1476M16—2121no—
1477M16—2121no—
1478M16—2121no—
1479C2×C8—531no—
1480C2×C8—531no—
1481C2×C8—531no—
1482C2×C8—531no—
1483C2×C8—2121no—
1484C2×C8—2121no—
1485C2×C8C23×D5311yescharacteristic
1486C2×C8C23×D5311yescharacteristic
1487C2×C8C23×D5311yescharacteristic
1488C2×C8C23×D5311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—531no—
1497C4⋊C4—531no—
1498C4⋊C4—531no—
1499C4⋊C4—531no—
1500C4⋊C4—531no—
1501C4⋊C4—531no—
1502C4⋊C4—531no—
1503C4⋊C4—531no—
1504C4⋊C4—531no—
1505C4⋊C4—531no—
1506C4⋊C4—1061no—
1507C4⋊C4—1061no—
1508C4⋊C4—1061no—
1509C4⋊C4—1061no—
1510C4⋊C4—1061no—
1511C4⋊C4—1061no—
1512C4⋊C4—1061no—
1513C4⋊C4—1061no—
1514C4⋊C4—1061no—
1515C4⋊C4—1061no—
1516C4⋊C4—1061no—
1517C4⋊C4—1061no—
1518C4⋊C4—1061no—
1519C4⋊C4—1061no—
1520C4⋊C4—1061no—
1521C4⋊C4D4×D5311yescharacteristic
1522C4⋊C4D4×D5311yescharacteristic
1523C4⋊C4C23×D5311yescharacteristic
1524C4⋊C4C23×D5311yescharacteristic
1525C4⋊C4C23×D5311yescharacteristic
1526C4⋊C4C23×D5311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—531no—
1534C22⋊C4—531no—
1535C22⋊C4—531no—
1536C22⋊C4—531no—
1537C22⋊C4—531no—
1538C22⋊C4—531no—
1539C22⋊C4—531no—
1540C22⋊C4—531no—
1541C22⋊C4—1061no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4—1061no—
1554C22⋊C4—1061no—
1555C22⋊C4—1061no—
1556C22⋊C4—1061no—
1557C22⋊C4—1061no—
1558C22⋊C4—1061no—
1559C22⋊C4—1061no—
1560C22⋊C4—1061no—
1561C22⋊C4—1061no—
1562C22⋊C4—1061no—
1563C22⋊C4—1061no—
1564C22⋊C4—1061no—
1565C22⋊C4—1061no—
1566C22⋊C4—1061no—
1567C22⋊C4—1061no—
1568C22⋊C4—1061no—
1569C22⋊C4—1061no—
1570C22⋊C4—1061no—
1571C22⋊C4—1061no—
1572C22⋊C4D4×D5311yescharacteristic
1573C22⋊C4D4×D5311yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—531no—
1581C42—531no—
1582C42—531no—
1583C42—531no—
1584C42—1061no—
1585C42—1061no—
1586C42—1061no—
1587C42—1061no—
1588C42—1061no—
1589C42—1061no—
1590C42—1061no—
1591C42C23×D5311yescharacteristic
1592C42C23×D5311yescharacteristic
1593C23—21no—
1594C23—531no—
1595C23—531no—
1596C23—1061no—
1597C23—1061no—
1598C23—1061no—
1599C23—1061no—
1600C23—4241no—
1601C23—4241no—
1602C23—4241no—
1603C23—4241no—
1604C23—4241no—
1605C23—4241no—
1606C23—4241no—
1607C23—4241no—
1608C23—2122no—
1609C23C2×D4×D5311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—42no—
1616Q8—81no—
1617Q8—1061no—
1618Q8—1061no—
1619Q8—1061no—
1620Q8—1061no—
1621Q8—4241no—
1622Q8—4241no—
1623Q8—4241no—
1624Q8—4241no—
1625Q8—2121no—
1626Q8—2122no—
1627Q8#1313326312yes—
1628D4—21no—
1629D4—21no—
1630D4—81no—
1631D4—1061no—
1632D4—1061no—
1633D4—1061no—
1634D4—1061no—
1635D4—1061no—
1636D4—1061no—
1637D4—1061no—
1638D4—1061no—
1639D4—4241no—
1640D4—4241no—
1641D4—4241no—
1642D4—4241no—
1643D4—4241no—
1644D4—4241no—
1645D4—4241no—
1646D4—4241no—
1647D4—4241no—
1648D4—4241no—
1649D4—4241no—
1650D4—4241no—
1651D4—4241no—
1652D4—4241no—
1653D4—2121no—
1654D4—2122no—
1655D4—2122no—
1656D4—2122no—
1657D4—2121no—
1658D4—2121no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—531no—
1671C2×C4—531no—
1672C2×C4—531no—
1673C2×C4—531no—
1674C2×C4—531no—
1675C2×C4—531no—
1676C2×C4—1061no—
1677C2×C4—1061no—
1678C2×C4—1061no—
1679C2×C4—1061no—
1680C2×C4—1061no—
1681C2×C4—1061no—
1682C2×C4—1061no—
1683C2×C4—1061no—
1684C2×C4—4241no—
1685C2×C4—4241no—
1686C2×C4—4241no—
1687C2×C4—4241no—
1688C2×C4—4241no—
1689C2×C4—4241no—
1690C2×C4—4241no—
1691C2×C4—2121no—
1692C2×C4—2121no—
1693C2×C4—2122no—
1694C2×C4—2122no—
1695C2×C4—2122no—
1696C2×C4C2×D4×D5311yescharacteristic
1697C2×C4C2×D4×D5311yescharacteristic
1698C2×C4C2×D4×D5311yescharacteristic
1699C2×C4C2×D4×D5311yescharacteristic
1700C2×C4C2×D4×D5311yescharacteristic
1701C2×C4C24×D5311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1061no—
1707C8—1061no—
1708C8—1061no—
1709C8—1061no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—8482no—
1717C22—8482no—
1718C22—8482no—
1719C22—1061no—
1720C22—1061no—
1721C22—1061no—
1722C22—1061no—
1723C22—1061no—
1724C22—1061no—
1725C22—2121no—
1726C22—2121no—
1727C22—2121no—
1728C22—2121no—
1729C22—2121no—
1730C22—2121no—
1731C22—2121no—
1732C22—2121no—
1733C22—2121no—
1734C22—2121no—
1735C22—2121no—
1736C22—2121no—
1737C22C22×D4×D5311yescharacteristic
1738C4—21no—
1739C4—22no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—1061no—
1751C4—1061no—
1752C4—1061no—
1753C4—1061no—
1754C4—1061no—
1755C4—1061no—
1756C4—2121no—
1757C4—2121no—
1758C4—2121no—
1759C4—2121no—
1760C4C2×#1313326311yescharacteristic
1761C4#1681145911yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—4241no—
1765C2—4241no—
1766C2—4241no—
1767C2—4241no—
1768C2—2121no—
1769C2—2121no—
1770C2#2028837611yescharacteristic
1771C2#2028949311yescharacteristic
1772C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3121C2
socleC22×C53C23×D4
hypercenter#3121D53
hypocenterC53#62092
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #20289230C2semidirect
2. #20288726C2semidirect
3. #20287782C2semidirect
4. #20287777C2semidirect
5. #20287530C2semidirect
6. #20287527C2semidirect
7. #20286948C2semidirect
8. #20286944C2semidirect
9. #20286874C2semidirect
10. #20286869C2semidirect
11. #20286786C2semidirect
12. #20286779C2semidirect
13. #20286372C2semidirect
14. #20286371C2semidirect
15. #20286228C2semidirect
16. #20286218C2semidirect
17. #20286212C2semidirect
18. #20286203C2semidirect
19. #20286178C2semidirect
20. #20286171C2semidirect
21. #20286101C2semidirect
22. #20285816C2semidirect
23. #20285811C2semidirect
24. #20285716C2semidirect
25. #20284951C2semidirect
26. #20284869C2semidirect
27. #20284236C2semidirect
28. #20284234C2semidirect
29. #20284206C2semidirect
30. #20283880C2semidirect
31. C53×#3121C2semidirect
32. C2×#13133249C22semidirect
33. C2×#13133249C22semidirect
34. C2×#13133248C22semidirect
36. C22×#11719924C22semidirect
37. C2×SD16×D53C22semidirect
42. Q8×Dic106C22semidirect
44. #16811346C22semidirect
46. #16811345C22semidirect
48. #16811341C22semidirect
50. #16811336C22semidirect
51. Q8×C22⋊D53C22semidirect
53. #16811285C22semidirect
54. #16811284C22semidirect
64. #16811245C22semidirect
66. #16811244C22semidirect
74. #16811177C22semidirect
79. #16811099C22semidirect
80. C4×#11719949C22semidirect
81. #16811016C22semidirect
82. #16811014C22semidirect
85. #16811008C22semidirect
86. #16811007C22semidirect
87. #16810984C22semidirect
88. #16810984C22semidirect
89. #16810983C22semidirect
90. #16810981C22semidirect
93. #16810967C22semidirect
95. #16810949C22semidirect
96. #16810949C22semidirect
97. #16810918C22semidirect
98. #16810917C22semidirect
99. #16810915C22semidirect
100. #16810903C22semidirect
101. #16810902C22semidirect
102. #16810902C22semidirect
103. #16810902C22semidirect
104. #16810900C22semidirect
106. #16810872C22semidirect
107. #16810872C22semidirect
108. #16810871C22semidirect
109. #16810870C22semidirect
110. #16810870C22semidirect
111. #16810870C22semidirect
113. #16810863C22semidirect
114. #16810862C22semidirect
117. #16810848C22semidirect
118. #16810848C22semidirect
119. #16810847C22semidirect
120. #16810847C22semidirect
121. #16810846C22semidirect
122. #16810845C22semidirect
123. #16810845C22semidirect
124. #16810845C22semidirect
125. #16810845C22semidirect
126. #16810845C22semidirect
127. #16810843C22semidirect
128. #16810842C22semidirect
129. #16810841C22semidirect
130. #16810841C22semidirect
131. #16810839C22semidirect
132. #16810838C22semidirect
133. #16810837C22semidirect
134. #16810835C22semidirect
135. #16810827C22semidirect
136. #16810827C22semidirect
137. #16810824C22semidirect
140. #16810823C22semidirect
141. #16810823C22semidirect
144. #16810819C22semidirect
145. #16810787C22semidirect
146. #16810784C22semidirect
147. #16810780C22semidirect
148. #16810780C22semidirect
149. #16810777C22semidirect
150. #16810776C22semidirect
153. #16810772C22semidirect
154. #16810771C22semidirect
155. #16810771C22semidirect
156. #16810771C22semidirect
157. #16810770C22semidirect
159. #16810759C22semidirect
160. #16810758C22semidirect
161. #16810753C22semidirect
162. #16810751C22semidirect
163. #16810734C22semidirect
164. #16810734C22semidirect
165. #16810729C22semidirect
166. #16810726C22semidirect
167. #16810726C22semidirect
168. #16810726C22semidirect
169. #16810715C22semidirect
170. #16810710C22semidirect
171. #16810702C22semidirect
172. #16810698C22semidirect
173. #16810697C22semidirect
174. #16810696C22semidirect
175. #16810691C22semidirect
176. #16810691C22semidirect
177. #16810683C22semidirect
178. #16810679C22semidirect
179. #16810650C22semidirect
180. #16810648C22semidirect
181. #16810645C22semidirect
182. #16810630C22semidirect
183. #16810627C22semidirect
185. #16810626C22semidirect
186. #16810618C22semidirect
187. #16810617C22semidirect
189. C53×#519C22semidirect
190. C53×#485C22semidirect
192. C53×#477C22semidirect
193. C53×#475C22semidirect
194. C53×#464C22semidirect
195. C53×#464C22semidirect
196. C53×#451C22semidirect
198. C53×#441C22semidirect
199. C53×#440C22semidirect
200. C4×Q16×C53C22semidirect
201. C4×SD16×C53C22semidirect
202. C53×#433C22semidirect
901. #3121D53semidirect
967. #519C2×D53semidirect
982. #485C2×D53semidirect
990. #477C2×D53semidirect
991. #475C2×D53semidirect
1021. #464C2×D53semidirect
1022. #464C2×D53semidirect
1044. #451C2×D53semidirect
1062. #441C2×D53semidirect
1066. #440C2×D53semidirect
1068. C4×Q16C2×D53semidirect
1070. C4×SD16C2×D53semidirect
1078. #433C2×D53semidirect
1089. C53#62092semidirect

Maximal subgroups

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

subgroupindex
#202892302
#202887262
#202877822
#202877772
#202875302
#202875272
#202869482
#202869442
#202868742
#202868692
#202867862
#202867792
#202863722
#202863712
#202862282
#202862182
#202862122
#202862032
#202861782
#202861712
#202861012
#202858162
#202858112
#202857162
#202849512
#202848692
#202842362
#202842342
#202842062
#202838802
C53×#31212
#6209253