Finite Group Databasebeta

← #28266969

Subgroups — #28266969

Order 13568.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288714C211yesmaximal, characteristic, complemented
2#20288663C211yesmaximal, characteristic, complemented
3#20287752C211yesmaximal, characteristic, complemented
4#20287631C211yesmaximal, characteristic, complemented
5#20287408C211yesmaximal, characteristic, complemented
6#20287348C211yesmaximal, characteristic, complemented
7#20287292C211yesmaximal, characteristic, complemented
8#20287213C211yesmaximal, characteristic, complemented
9#20287209C211yesmaximal, characteristic, complemented
10#20286666C211yesmaximal, characteristic, complemented
11#20286660C211yesmaximal, characteristic, complemented
12#20286649C211yesmaximal, characteristic, complemented
13#20286566C211yesmaximal, characteristic, complemented
14#20286524C211yesmaximal, characteristic, complemented
15#20286333C211yesmaximal, characteristic, complemented
16#20286259C211yesmaximal, characteristic, complemented
17#20286251C211yesmaximal, characteristic, complemented
18#20285397C211yesmaximal, characteristic, complemented
19#20285393C211yesmaximal, characteristic, complemented
20#20285289C211yesmaximal, characteristic, complemented
21#20284980C211yesmaximal, characteristic, complemented
22#20284974C211yesmaximal, characteristic, complemented
23#20284960C211yesmaximal, characteristic, complemented
24#20284952C211yesmaximal, characteristic, complemented
25#20284861C211yesmaximal, characteristic, complemented
26#20284859C211yesmaximal, characteristic, complemented
27#20283683C211yesmaximal, characteristic, complemented
28#20283541C211yesmaximal, characteristic, complemented
29#20283540C211yesmaximal, characteristic, complemented
30#20283483C211yesmaximal, characteristic, complemented
31C53×#3297C211yesmaximal, characteristic, complemented
32C2×#13133243C2211yescharacteristic
33C2×#13133241C2211yescharacteristic
34C2×#13133237C2211yescharacteristic
35#16811355C2211yescharacteristic
36#16811350C2211yescharacteristic, complemented
37#16811344C2211yescharacteristic
38#16811338C2211yescharacteristic
39#16811337C2211yescharacteristic
40#16811324—21no—
41#16811322—21no—
42#16811317C2211yescharacteristic, complemented
43#16811299—21no—
44#16811296—21no—
45#16811294C2211yescharacteristic, complemented
46#16811294C2211yescharacteristic, complemented
47#16811291—21no—
48#16811291C2211yescharacteristic
49#16811291C2211yescharacteristic, complemented
50D4×Dic106C2211yescharacteristic
51#16811279—21no—
52#16811274C2211yescharacteristic
53#16811271—21no—
54#16811261C2211yescharacteristic
55#16811260—21no—
56D4×C22⋊D53C2211yescharacteristic
57#16811246C2211yescharacteristic
58#16811242C2211yescharacteristic
59#16811229C2211yescharacteristic, complemented
60#16811226C2211yescharacteristic, complemented
61#16811225—21no—
62#16811223—21no—
63#16811210—21no—
64#16811208—21no—
65#16811170—21no—
66#16811168C2211yescharacteristic
67#16811168C2211yescharacteristic, complemented
68#16811156—21no—
69#16811153C2211yescharacteristic
70#16811150—21no—
71C2×#13133203—21no—
72#16811104C2211yescharacteristic, complemented
73#16811102C2211yescharacteristic, complemented
74#16811098C2211yescharacteristic
75#16811095C2211yescharacteristic
76#41×Dic53C2211yescharacteristic
77#16811091C2211yescharacteristic, complemented
78#16811033C2211yescharacteristic, complemented
79#16811030C2211yescharacteristic, complemented
80#16811027C2211yescharacteristic, complemented
81#16811013C2211yescharacteristic, complemented
82#16811009C2211yescharacteristic, complemented
83#16810998C2211yescharacteristic
84#16810979C2211yescharacteristic, complemented
85#16810970C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic
87#16810968C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810957C2211yescharacteristic, complemented
90#16810950C2211yescharacteristic, complemented
91#16810949C2211yescharacteristic, complemented
92#16810948C2211yescharacteristic, complemented
93#16810948C2211yescharacteristic, complemented
94#16810947C2211yescharacteristic, complemented
95#16810944C2211yescharacteristic, complemented
96#16810944C2211yescharacteristic, complemented
97#16810936C2211yescharacteristic
98#16810935C2211yescharacteristic
99#16810925C2211yescharacteristic, complemented
100#16810921C2211yescharacteristic
101#16810920C2211yescharacteristic, complemented
102#16810919C2211yescharacteristic, complemented
103#16810917C2211yescharacteristic, complemented
104#16810907C2211yescharacteristic, complemented
105#16810906C2211yescharacteristic, complemented
106#16810903C2211yescharacteristic, complemented
107#16810902C2211yescharacteristic, complemented
108#16810902C2211yescharacteristic, complemented
109#16810901C2211yescharacteristic
110#16810875C2211yescharacteristic
111#16810874C2211yescharacteristic
112#16810872C2211yescharacteristic, complemented
113#16810871C2211yescharacteristic, complemented
114#16810859C2211yescharacteristic
115#16810859C2211yescharacteristic, complemented
116#16810858C2211yescharacteristic
117#16810857C2211yescharacteristic, complemented
118#16810857C2211yescharacteristic, complemented
119#16810855C2211yescharacteristic, complemented
120#16810848C2211yescharacteristic, complemented
121#16810842C2211yescharacteristic, complemented
122#16810841C2211yescharacteristic, complemented
123#16810822C2211yescharacteristic
124#16810821C2211yescharacteristic, complemented
125#16810819C2211yescharacteristic, complemented
126#16810818C2211yescharacteristic
127#16810817C2211yescharacteristic
128#16810816C2211yescharacteristic
129#16810816C2211yescharacteristic
130#16810816C2211yescharacteristic, complemented
131#16810783C2211yescharacteristic, complemented
132#16810782C2211yescharacteristic, complemented
133#16810770C2211yescharacteristic
134#16810770C2211yescharacteristic, complemented
135#16810768C2211yescharacteristic
136#16810766C2211yescharacteristic, complemented
137#16810765C2211yescharacteristic
138#16810758C2211yescharacteristic
139#16810758C2211yescharacteristic
140#16810757C2211yescharacteristic
141#16810752C2211yescharacteristic, complemented
142C8×Dic106C2211yescharacteristic, complemented
143#16810735C2211yescharacteristic
144#16810734C2211yescharacteristic, complemented
145#16810733C2211yescharacteristic, complemented
146#16810732C2211yescharacteristic
147#16810732C2211yescharacteristic, complemented
148#16810732C2211yescharacteristic, complemented
149#16810726C2211yescharacteristic, complemented
150#16810724C2211yescharacteristic, complemented
151#16810723C2211yescharacteristic
152#16810722C2211yescharacteristic, complemented
153#16810720C2211yescharacteristic
154#16810720C2211yescharacteristic, complemented
155#16810715C2211yescharacteristic, complemented
156#16810715C2211yescharacteristic, complemented
157#16810714C2211yescharacteristic
158#16810714C2211yescharacteristic
159#16810714C2211yescharacteristic, complemented
160C4×#11719913C2211yescharacteristic, complemented
161#16810708C2211yescharacteristic, complemented
162#16810708C2211yescharacteristic, complemented
163D8×Dic53C2211yescharacteristic, complemented
164#16810705C2211yescharacteristic, complemented
165#16810703C2211yescharacteristic
166#16810703C2211yescharacteristic
167#16810703C2211yescharacteristic
168#16810703C2211yescharacteristic, complemented
169#16810703C2211yescharacteristic, complemented
170#16810698C2211yescharacteristic
171#16810695C2211yescharacteristic, complemented
172#16810691C2211yescharacteristic, complemented
173C8×C22⋊D53C2211yescharacteristic
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810683C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810677C2211yescharacteristic, complemented
178#16810664C2211yescharacteristic, complemented
179#16810663C2211yescharacteristic, complemented
180#16810659C2211yescharacteristic, complemented
181#16810620C2211yescharacteristic, complemented
182#16810620C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic
185#16810578C2211yescharacteristic, complemented
186#16810577C2211yescharacteristic, complemented
187C2×C8×Dic53C2211yescharacteristic, complemented
188C53×#553C2211yescharacteristic, complemented
189C53×#546C2211yescharacteristic
190C53×#488C2211yescharacteristic, complemented
191C53×#484C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic
194C53×#466C2211yescharacteristic, complemented
195C53×#465C2211yescharacteristic, complemented
196C53×#463C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic
198C53×#447C2211yescharacteristic
199C4×D8×C53C2211yescharacteristic
200C8×D4×C53C2211yescharacteristic, complemented
201C53×#416C2211yescharacteristic
202C2×#102×C53C2211yescharacteristic
203C2×#11719945—21no—
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719945C2311yescharacteristic
207C2×#11719947—21no—
208C2×#11719947—21no—
209C2×#11719947C2311yescharacteristic
210C22×Dic106—21no—
211C22×C22⋊D53—21no—
212C2×D4×D53C2311yescharacteristic
213#13133243—24no—
214#13133241—24no—
215#13133237—24no—
216C2×#11719925C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719924C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×D424C2311yescharacteristic
223C2×D424C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719922C2311yescharacteristic
228C2×#11719922C2311yescharacteristic
229C2×#11719917C2311yescharacteristic
230C2×#11719912C2311yescharacteristic
231C22×#88322C2311yescharacteristic
232C2×C8×D53C2311yescharacteristic
233#13133217C2311yescharacteristic
234#13133216—21no—
235#13133216C2311yescharacteristic
236#13133216C2311yescharacteristic
237#13133216C2311yescharacteristic
238#13133214C2311yescharacteristic
239#13133213—21no—
240#13133213—21no—
241#13133213—21no—
242#13133213C2311yescharacteristic
243#13133213C2311yescharacteristic
244#13133213C2311yescharacteristic
245#13133212—21no—
246#13133212—21no—
247#13133212D411yescharacteristic
248#13133211—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210D411yescharacteristic
252#13133208C2311yescharacteristic
253#13133207—21no—
254#13133207—21no—
255#13133207D411yescharacteristic
256#13133206C2311yescharacteristic
257#13133204—21no—
258#13133203—21no—
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203—21no—
265#13133203—21no—
266#13133203—21no—
267#13133203D411yescharacteristic
268#13133202—21no—
269#13133202—21no—
270#13133202—21no—
271#13133201—21no—
272#13133201—21no—
273#13133201—21no—
274#13133201D411yescharacteristic
275#13133200—21no—
276#13133200—21no—
277#13133199—21no—
278#13133199—21no—
279#13133199—21no—
280#13133199—21no—
281#13133198D411yescharacteristic
282#13133197—21no—
283#13133196—21no—
284#13133195—21no—
285#13133194—21no—
286#13133194—21no—
287#13133194—21no—
288#13133194D411yescharacteristic
289#13133193C2311yescharacteristic
290#13133192—21no—
291#13133192—21no—
292#13133192C2311yescharacteristic
293#13133192C2311yescharacteristic
294#13133191—21no—
295#13133191C2311yescharacteristic
296#13133191C2311yescharacteristic
297#13133191C2311yescharacteristic
298#13133191C2311yescharacteristic
299#13133190—21no—
300#13133190—21no—
301#13133190—21no—
302#13133190—21no—
303#13133190—21no—
304#13133190—21no—
305#13133190—21no—
306#13133189—21no—
307#13133189—21no—
308#13133189—21no—
309#13133189—21no—
310#13133189—21no—
311#13133189—21no—
312#13133189—21no—
313#13133189—21no—
314#13133189D411yescharacteristic
315#13133188—21no—
316#13133188—21no—
317#13133188C2311yescharacteristic
318#13133186—21no—
319#13133185—21no—
320#13133185—21no—
321Q8×Dic53C2311yescharacteristic
322Q8×Dic53C2311yescharacteristic
323C4×Dic106C2311yescharacteristic
324C4×Dic106C2311yescharacteristic
325#13133182—21no—
326#13133182—21no—
327#13133182C2311yescharacteristic
328#13133182C2311yescharacteristic
329#13133182C2311yescharacteristic
330C4×D212—21no—
331C4×D212C2311yescharacteristic
332D4×Dic53—21no—
333D4×Dic53—21no—
334D4×Dic53—21no—
335D4×Dic53—21no—
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340D4×Dic53C2311yescharacteristic
341D4×Dic53C2311yescharacteristic
342#13133179—21no—
343#13133179C2311yescharacteristic
344#13133179C2311yescharacteristic
345#13133179C2311yescharacteristic
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53C2311yescharacteristic
353C4×C22⋊D53C2311yescharacteristic
354#13133177—21no—
355#13133177—21no—
356#13133177—21no—
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133176—21no—
364#13133176C2311yescharacteristic
365#13133176C2311yescharacteristic
366#13133176C2311yescharacteristic
367#13133175—21no—
368#13133175—21no—
369#13133175C2311yescharacteristic
370#13133174—21no—
371#13133174C2311yescharacteristic
372#13133173—21no—
373#13133173—21no—
374C2×#11719919—21no—
375C4⋊C4×D53—21no—
376C4⋊C4×D53C2311yescharacteristic
377C2×C22⋊Dic53—21no—
378C2×C22⋊Dic53—21no—
379C2×#11719921—21no—
380C2×#11719921—21no—
381C22⋊C4×D53—21no—
382C2×C4×Dic53—21no—
383C2×C4×Dic53C2311yescharacteristic
384C42×D53—21no—
385#13133151C2311yescharacteristic
386#13133151C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398C4⋊#88322C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425C22⋊#88322C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133128C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×#41×C53C2311yescharacteristic
439C22×D4×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×D8×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443C22×C8×C53C2311yescharacteristic
444C22×C8×C53C2311yescharacteristic
445#126×C53—21no—
446#125×C53C2311yescharacteristic
447#124×C53C2311yescharacteristic
448#123×C53—21no—
449#123×C53—21no—
450C22⋊Q8×C53C2311yescharacteristic
451#121×C53—21no—
452#121×C53—21no—
453#121×C53C2311yescharacteristic
454#121×C53C2311yescharacteristic
455#121×C53C2311yescharacteristic
456#120×C53—21no—
457C4×D4×C53—21no—
458C4×D4×C53C2311yescharacteristic
459C4×D4×C53C2311yescharacteristic
460C4×D4×C53C2311yescharacteristic
461#117×C53C2311yescharacteristic
462C2×C4⋊C4×C53C2311yescharacteristic
463C2×C22⋊C4×C53—21no—
464#107×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C24×C53—21no—
482C23×D53—21no—
483#41×C53—22no—
484#41×C53—41no—
485C2×Q8×C53C2411yescharacteristic
486C2×D4×C53—22no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53—41no—
493C2×D4×C53C2×D411yescharacteristic
494C2×D4×C53C2411yescharacteristic
495C2×D4×C53C2411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53—21no—
500C22×C4×C53—21no—
501C22×C4×C53C2411yescharacteristic
502C22×C4×C53C2411yescharacteristic
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—82no—
519C2×C22⋊D53C2×D411yescharacteristic
520C2×C22⋊D53C2×D411yescharacteristic
521C22×Dic53—21no—
522C22×Dic53—21no—
523C22×Dic53—21no—
524C22×Dic53—21no—
525C22×Dic53—21no—
526C22×Dic53—21no—
527C22×Dic53—21no—
528C22×Dic53C2×D411yescharacteristic
529C22×Dic53C2×D411yescharacteristic
530#11719947—22no—
531#11719947—41no—
532#11719947—82no—
533#11719947—82no—
534D4×D53—22no—
535D4×D53—41no—
536#11719945—22no—
537#11719945—22no—
538#11719945—41no—
539#11719945—41no—
540#11719945—82no—
541#11719945—82no—
542C2×D212—21no—
543C2×D212—21no—
544C2×D212—21no—
545C2×D212—21no—
546C2×D212C2411yescharacteristic
547C2×D212C2411yescharacteristic
548C2×D212C2411yescharacteristic
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53—21no—
555C2×C4×D53—21no—
556C2×C4×D53—21no—
557C2×C4×D53—21no—
558C2×C4×D53C2411yescharacteristic
559C2×Dic106—21no—
560C2×Dic106—21no—
561C2×Dic106—21no—
562C2×Dic106—21no—
563C2×Dic106—82no—
564C2×Dic106C2×D411yescharacteristic
565C2×Dic106C2411yescharacteristic
566SD16×C53—41no—
567D8×C53—22no—
568D8×C53—41no—
569C2×C8×C53—41no—
570C2×C8×C53—41no—
571C2×C8×C53C2411yescharacteristic
572C2×C8×C53C2411yescharacteristic
573C2×C8×C53C2411yescharacteristic
574C2×C8×C53C2411yescharacteristic
575C4⋊C4×C53—21no—
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53—21no—
579C4⋊C4×C53C2×D411yescharacteristic
580C4⋊C4×C53C2411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C4⋊C4×C53C2411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C22⋊C4×C53—21no—
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×C53—21no—
592C22⋊C4×C53—21no—
593C22⋊C4×C53C2×D411yescharacteristic
594C22⋊C4×C53C2×D411yescharacteristic
595C42×C53—21no—
596C42×C53C2411yescharacteristic
597C22⋊Dic53—21no—
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53C2×D411yescharacteristic
607C22⋊Dic53C2×D411yescharacteristic
608C22⋊Dic53C2×D411yescharacteristic
609C22⋊Dic53C2×D411yescharacteristic
610#11719925—22no—
611#11719924—22no—
612#11719924—41no—
613#11719923—22no—
614#11719923#4114yescomplemented
615#11719922—22no—
616#11719922—22no—
617#11719922—22no—
618#11719922—22no—
619#11719922—41no—
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#11719921C2×D411yescharacteristic
637#11719921C2×D411yescharacteristic
638#11719921C2×D411yescharacteristic
639#11719921C2×D411yescharacteristic
640C4⋊Dic53—21no—
641C4⋊Dic53—21no—
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53C2×D411yescharacteristic
645C4⋊Dic53C2×D411yescharacteristic
646C4⋊Dic53C2×D411yescharacteristic
647C4⋊Dic53C2411yescharacteristic
648C4⋊Dic53C2411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919C2×D411yescharacteristic
662#11719919C2×D411yescharacteristic
663#11719919C2×D411yescharacteristic
664#11719919C2×D411yescharacteristic
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53C2×D411yescharacteristic
677C4×Dic53C2×D411yescharacteristic
678C4×Dic53C2411yescharacteristic
679C4×Dic53C2411yescharacteristic
680C4×Dic53C2411yescharacteristic
681#11719917—22no—
682C2×#88322—22no—
683C2×#88322C2411yescharacteristic
684C2×#88322C2411yescharacteristic
685C2×#88322C2411yescharacteristic
686C2×#88322C2411yescharacteristic
687D424—41no—
688D424—41no—
689#11719913—22no—
690#11719912—22no—
691C8×D53—41no—
692C23×C53—21no—
693C23×C53—21no—
694C23×C53—21no—
695C23×C53—42no—
696C23×C53—81no—
697C23×C53—81no—
698C23×C53C22×D411yescharacteristic
699C23×C53C22×D411yescharacteristic
700C22×D53—21no—
701C22×D53—21no—
702C22×D53—21no—
703C22×D53—42no—
704C22×D53—81no—
705C22×D53—81no—
706C22×D53C22×D411yescharacteristic
707Q8×C53—21no—
708Q8×C53—21no—
709D4×C53—21no—
710D4×C53—21no—
711D4×C53—21no—
712D4×C53—21no—
713D4×C53—21no—
714D4×C53—41no—
715D4×C53—42no—
716D4×C53—42no—
717D4×C53—81no—
718D4×C53—81no—
719D4×C53—81no—
720D4×C53C2×#4112yes—
721C2×C4×C53—21no—
722C2×C4×C53—21no—
723C2×C4×C53—21no—
724C2×C4×C53—21no—
725C2×C4×C53—21no—
726C2×C4×C53—21no—
727C2×C4×C53—21no—
728C2×C4×C53—21no—
729C2×C4×C53—21no—
730C2×C4×C53—42no—
731C2×C4×C53—81no—
732C2×C4×C53—81no—
733C2×C4×C53—81no—
734C2×C4×C53C22×D411yescharacteristic
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C22×D411yescharacteristic
737C2×C4×C53C22×D411yescharacteristic
738C2×C4×C53C2511yescharacteristic
739C22⋊D53—22no—
740C22⋊D53—41no—
741C22⋊D53—42no—
742C22⋊D53—42no—
743C22⋊D53—42no—
744C22⋊D53—42no—
745C22⋊D53—42no—
746C22⋊D53—42no—
747C22⋊D53—81no—
748C22⋊D53—81no—
749C22⋊D53—81no—
750C22⋊D53—81no—
751C22⋊D53—81no—
752C22⋊D53—81no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C22⋊D53—81no—
756C2×Dic53—21no—
757C2×Dic53—22no—
758C2×Dic53—21no—
759C2×Dic53—21no—
760C2×Dic53—21no—
761C2×Dic53—21no—
762C2×Dic53—41no—
763C2×Dic53—42no—
764C2×Dic53—42no—
765C2×Dic53—81no—
766C2×Dic53—81no—
767C2×Dic53—81no—
768C2×Dic53—81no—
769C2×Dic53—81no—
770C2×Dic53C22×D411yescharacteristic
771C2×Dic53C22×D411yescharacteristic
772C2×Dic53C22×D411yescharacteristic
773C2×Dic53C22×D411yescharacteristic
774C2×Dic53C22×D411yescharacteristic
775C2×Dic53C22×D411yescharacteristic
776C2×Dic53C22×D411yescharacteristic
777D212—21no—
778D212—21no—
779D212—21no—
780D212—21no—
781D212—21no—
782D212—21no—
783D212—81no—
784D212—81no—
785D212—81no—
786D212—81no—
787C4×D53—21no—
788C4×D53—21no—
789C4×D53—42no—
790C4×D53—42no—
791C4×D53—42no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796C4×D53—81no—
797C4×D53—81no—
798Dic106—21no—
799Dic106—22no—
800Dic106—42no—
801Dic106—42no—
802Dic106—81no—
803Dic106—81no—
804Dic106C2×#4112yes—
805C8×C53—21no—
806C8×C53—21no—
807C8×C53—21no—
808C8×C53—21no—
809#88322—21no—
810#88322—21no—
811#88322—21no—
812#88322C2×#4112yes—
813#61494—531nomaximal, Sylow
814C22×C53—21no—
815C22×C53—21no—
816C22×C53—21no—
817C22×C53—21no—
818C22×C53—22no—
819C22×C53—21no—
820C22×C53—21no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53—41no—
826C22×C53—41no—
827C22×C53—41no—
828C22×C53—41no—
829C22×C53—162no—
830C22×C53C23×D411yescharacteristic
831C2×D53—21no—
832C2×D53—21no—
833C2×D53—21no—
834C2×D53—41no—
835C2×D53—41no—
836C2×D53—41no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—162no—
844C4×C53—21no—
845C4×C53—21no—
846C4×C53—21no—
847C4×C53—21no—
848C4×C53—41no—
849C4×C53—41no—
850C4×C53—41no—
851C4×C53—41no—
852C4×C53—41no—
853C4×C53C22×#4111yescharacteristic
854C4×C53#58511yescharacteristic
855Dic53—21no—
856Dic53—21no—
857Dic53—21no—
858Dic53—22no—
859Dic53—21no—
860Dic53—21no—
861Dic53—21no—
862Dic53—41no—
863Dic53—41no—
864Dic53—41no—
865Dic53—41no—
866Dic53#57612yes—
867#3517—531no—
868#3514—531no—
869#3399—531no—
870#3386—531no—
871#3365—531no—
872#3358—531no—
873#3353—531no—
874#3347—531no—
875#3347—531no—
876#3305—531no—
877#3305—531no—
878#3304—531no—
879#3297—531no—
880#3297D5311yescharacteristic, complemented
881#3294—531no—
882#3274—531no—
883#3268—531no—
884#3268—531no—
885#3179—531no—
886#3179—531no—
887#3169—531no—
888#3124—531no—
889#3124—531no—
890#3122—531no—
891#3122—531no—
892#3115—531no—
893#3115—531no—
894#2966—531no—
895#2946—531no—
896#2946—531no—
897C4×#135—531no—
898C2×C53—42no—
899C2×C53—41no—
900C2×C53—41no—
901C2×C53—81no—
902C2×C53—81no—
903C2×C53D4×#4111yescharacteristic
904C2×C53C2×#57611yescharacteristic
905C2×C53#358411yescharacteristic
906D53—41no—
907D53—81no—
908D53—81no—
909D53—81no—
910C2×AGL(1,ℤ/8)—531no—
911C2×AGL(1,ℤ/8)—531no—
912C2×#135—531no—
913#559—531no—
914#557—531no—
915#556—531no—
916#555—531no—
917#555—531no—
918#553—531no—
919#553—1061no—
920#553—1061no—
921#553C2×D5311yescharacteristic, complemented
922#551—1061no—
923#551—1061no—
924#550—531no—
925#550—531no—
926#550—531no—
927#550—531no—
928#550—1061no—
929D4×Q8—531no—
930#548—1061no—
931#547—531no—
932#547—1061no—
933#546—531no—
934#546—1061no—
935#546C2×D5311yescharacteristic
936D42—531no—
937#542—531no—
938#542—531no—
939#540—531no—
940#540—531no—
941#540—1061no—
942#540—1061no—
943#538—1061no—
944#538—1061no—
945#532—531no—
946#532—531no—
947#532—1061no—
948#529—531no—
949#529—1061no—
950#529—1061no—
951C2×#124—1061no—
952#520—531no—
953#520—531no—
954#518—531no—
955#518—531no—
956C4×#41—531no—
957C4×#41—531no—
958#501—531no—
959#501—531no—
960#500—531no—
961#496—531no—
962#496—531no—
963#493—531no—
964#488—531no—
965#488C2×D5311yescharacteristic, complemented
966#486—531no—
967#486—531no—
968#486—531no—
969#486—531no—
970#484—531no—
971#484C2×D5311yescharacteristic, complemented
972#482—531no—
973#482—531no—
974#482—531no—
975#482—531no—
976#482—531no—
977#482—531no—
978#482—531no—
979#482C2×D5311yescharacteristic, complemented
980#480—531no—
981#480—531no—
982#478—531no—
983#478—531no—
984#478—531no—
985#478C2×D5311yescharacteristic
986#477—531no—
987#477—531no—
988#475—531no—
989#475—531no—
990#474—531no—
991#474—531no—
992#474—531no—
993#474—531no—
994#469—531no—
995#469—531no—
996#468—531no—
997#468—531no—
998#466—531no—
999#466—531no—
1000#466—531no—
1001#466—531no—
1002#466—531no—
1003#466C2×D5311yescharacteristic, complemented
1004#465—531no—
1005#465C2×D5311yescharacteristic, complemented
1006#464—531no—
1007#464—531no—
1008#463—531no—
1009#463C2×D5311yescharacteristic, complemented
1010#460—531no—
1011#460—531no—
1012#459—531no—
1013#459—531no—
1014#459—531no—
1015#459—531no—
1016#459—531no—
1017#459—531no—
1018#452—531no—
1019#452—531no—
1020#449—531no—
1021#449—531no—
1022#449—531no—
1023#449—531no—
1024#449—531no—
1025#449C2×D5311yescharacteristic
1026#447—531no—
1027#447—531no—
1028#447—531no—
1029#447C2×D5311yescharacteristic
1030#446—531no—
1031C8×Q8—531no—
1032#442—531no—
1033#442—531no—
1034#442—531no—
1035#442—531no—
1036#442—531no—
1037#442—531no—
1038#440—531no—
1039#440—531no—
1040#440—531no—
1041#440—531no—
1042#440—531no—
1043#440—531no—
1044C4×Q16—531no—
1045C4×Q16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×SD16—531no—
1049C4×SD16—531no—
1050C4×SD16—531no—
1051C4×SD16—531no—
1052C4×D8—531no—
1053C4×D8—531no—
1054C4×D8—531no—
1055C4×D8—531no—
1056C4×D8—531no—
1057C4×D8—531no—
1058C4×D8—531no—
1059C4×D8C2×D5311yescharacteristic
1060#436—531no—
1061#435—531no—
1062#435—531no—
1063C8×D4—531no—
1064C8×D4—531no—
1065C8×D4C2×D5311yescharacteristic, complemented
1066#433—531no—
1067#433—531no—
1068#432—531no—
1069#428—531no—
1070#428—531no—
1071#427—531no—
1072#416—531no—
1073#416—531no—
1074#416—531no—
1075#416C2×D5311yescharacteristic
1076C2×#102—531no—
1077C2×#102C2×D5311yescharacteristic
1078#405—531no—
1079#405—531no—
1080C2×C4×C8—531no—
1081C53#6149411yescharacteristic, complemented, Sylow
1082C2×#41—531no—
1083C2×#41—531no—
1084C2×#41—531no—
1085C2×#41—1061no—
1086C2×#41—1061no—
1087C2×#41—1061no—
1088C2×#41—1061no—
1089C2×#41C22×D5311yescharacteristic
1090C22×Q8—1061no—
1091C22×D4—531no—
1092C22×D4—1061no—
1093C22×D4C22×D5311yescharacteristic
1094AGL(1,ℤ/8)—1064no—
1095AGL(1,ℤ/8)—1064no—
1096#135—1064no—
1097C2×Q16—531no—
1098C2×SD16—531no—
1099C2×SD16—531no—
1100C2×SD16—531no—
1101C2×SD16—531no—
1102C2×SD16—531no—
1103C2×SD16C22×D5311yescharacteristic
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8—531no—
1108C2×D8—531no—
1109C2×D8—531no—
1110C2×D8—531no—
1111C2×D8C22×D5311yescharacteristic
1112C2×D8C22×D5311yescharacteristic
1113C2×M16—531no—
1114C2×M16—531no—
1115C22×C8—531no—
1116C22×C8—531no—
1117C22×C8C22×D5311yescharacteristic
1118C22×C8C22×D5311yescharacteristic
1119C4⋊Q8—531no—
1120C4⋊Q8—531no—
1121C4⋊Q8—531no—
1122C4⋊Q8—531no—
1123C4⋊Q8—1061no—
1124#127—531no—
1125#127—531no—
1126#127—531no—
1127#127—531no—
1128#127—1061no—
1129#127—1061no—
1130#127—1061no—
1131#126—21no—
1132#126—531no—
1133#126—531no—
1134#126—1061no—
1135#126—1061no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#125—531no—
1140#125—531no—
1141#125—1061no—
1142#125—1061no—
1143#125C22×D5311yescharacteristic
1144#124—531no—
1145#124—531no—
1146#124—1061no—
1147#124—1061no—
1148#124—1061no—
1149#124—1061no—
1150#124—1061no—
1151#124—1061no—
1152#124—1061no—
1153#124—1061no—
1154#124—1061no—
1155#124—1061no—
1156#124C22×D5311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—531no—
1160#123—531no—
1161#123—1061no—
1162#123—1061no—
1163#123—1061no—
1164#123—1061no—
1165#123—1061no—
1166#123—1061no—
1167#123—1061no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173C22⋊Q8—531no—
1174C22⋊Q8—531no—
1175C22⋊Q8—1061no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8—1061no—
1179C22⋊Q8—1061no—
1180C22⋊Q8—1061no—
1181C22⋊Q8C22×D5311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—531no—
1185#121—531no—
1186#121—531no—
1187#121—531no—
1188#121—531no—
1189#121—531no—
1190#121—531no—
1191#121—531no—
1192#121—1061no—
1193#121—1061no—
1194#121—1061no—
1195#121—1061no—
1196#121—1061no—
1197#121—1061no—
1198#121—1061no—
1199#121—1061no—
1200#121—1061no—
1201#121—1061no—
1202#121—1061no—
1203#121—1061no—
1204#121—1061no—
1205#121—1061no—
1206#121—1061no—
1207#121—1061no—
1208#121—1061no—
1209#121—1061no—
1210#121—1061no—
1211#121—1061no—
1212#121C22×D5311yescharacteristic
1213#121C22×D5311yescharacteristic
1214#121C22×D5311yescharacteristic
1215#120—21no—
1216#120—1061no—
1217#120—1061no—
1218#120—1061no—
1219C4×Q8—531no—
1220C4×Q8—531no—
1221C4×Q8—531no—
1222C4×Q8—531no—
1223C4×Q8—531no—
1224C4×Q8—531no—
1225C4×Q8—531no—
1226C4×Q8—1061no—
1227C4×Q8—1061no—
1228C4×D4—21no—
1229C4×D4—531no—
1230C4×D4—531no—
1231C4×D4—531no—
1232C4×D4—531no—
1233C4×D4—531no—
1234C4×D4—531no—
1235C4×D4—531no—
1236C4×D4—531no—
1237C4×D4—531no—
1238C4×D4—531no—
1239C4×D4—531no—
1240C4×D4—531no—
1241C4×D4—531no—
1242C4×D4—531no—
1243C4×D4—1061no—
1244C4×D4—1061no—
1245C4×D4—1061no—
1246C4×D4—1061no—
1247C4×D4—1061no—
1248C4×D4—1061no—
1249C4×D4—1061no—
1250C4×D4—1061no—
1251C4×D4—1061no—
1252C4×D4—1061no—
1253C4×D4—1061no—
1254C4×D4—1061no—
1255C4×D4—1061no—
1256C4×D4—1061no—
1257C4×D4—1061no—
1258C4×D4—1061no—
1259C4×D4—1061no—
1260C4×D4—1061no—
1261C4×D4—1061no—
1262C4×D4C22×D5311yescharacteristic
1263C4×D4C22×D5311yescharacteristic
1264C4×D4C22×D5311yescharacteristic
1265#117—531no—
1266#117—531no—
1267#117—531no—
1268#117—531no—
1269#117—531no—
1270#117—1061no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117—1061no—
1275#117—1061no—
1276#117C22×D5311yescharacteristic
1277C2×C4⋊C4—531no—
1278C2×C4⋊C4—1061no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4C22×D5311yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—1061no—
1283C2×C22⋊C4—1061no—
1284C2×C22⋊C4—1061no—
1285C2×C22⋊C4—1061no—
1286C2×C22⋊C4—1061no—
1287C2×C42—531no—
1288C2×C42—1061no—
1289C2×C42—1061no—
1290#107—531no—
1291#107—531no—
1292#107—531no—
1293#107—531no—
1294#107—531no—
1295#107—531no—
1296#107—531no—
1297#107—531no—
1298#107C22×D5311yescharacteristic
1299#107C22×D5311yescharacteristic
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304#106—531no—
1305#106C22×D5311yescharacteristic
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8—531no—
1311C4⋊C8C22×D5311yescharacteristic
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103C22×D5311yescharacteristic
1318#103C22×D5311yescharacteristic
1319#103C22×D5311yescharacteristic
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102—531no—
1334#102—531no—
1335#102—531no—
1336#102—531no—
1337#102C22×D5311yescharacteristic
1338#102C22×D5311yescharacteristic
1339#102C22×D5311yescharacteristic
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344C22⋊C8—531no—
1345C22⋊C8—531no—
1346C22⋊C8—531no—
1347C22⋊C8—531no—
1348C22⋊C8C22×D5311yescharacteristic
1349C22⋊C8C22×D5311yescharacteristic
1350#97—531no—
1351#97—531no—
1352#97—531no—
1353#97—531no—
1354C4×C8—531no—
1355C4×C8—531no—
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8—531no—
1359C4×C8C22×D5311yescharacteristic
1360C24—21no—
1361C24—1061no—
1362#41—22no—
1363#41—41no—
1364#41—1062no—
1365#41—1062no—
1366#41—1062no—
1367#41—4242no—
1368#41—4242no—
1369#41—4242no—
1370#41—4242no—
1371#41—2121no—
1372#41—2121no—
1373#41—2121no—
1374C2×Q8—531no—
1375C2×Q8—531no—
1376C2×Q8—1061no—
1377C2×Q8—1061no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—4242no—
1381C2×Q8C23×D5311yescharacteristic
1382C2×D4—22no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—531no—
1390C2×D4—531no—
1391C2×D4—531no—
1392C2×D4—531no—
1393C2×D4—531no—
1394C2×D4—1061no—
1395C2×D4—1061no—
1396C2×D4—1061no—
1397C2×D4—1061no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1062no—
1404C2×D4—1061no—
1405C2×D4—1061no—
1406C2×D4—1061no—
1407C2×D4—1061no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—4242no—
1415C2×D4—2121no—
1416C2×D4D4×D5311yescharacteristic
1417C2×D4C23×D5311yescharacteristic
1418C2×D4C23×D5311yescharacteristic
1419C2×D4C23×D5311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—531no—
1425C22×C4—531no—
1426C22×C4—531no—
1427C22×C4—1061no—
1428C22×C4—1061no—
1429C22×C4—1061no—
1430C22×C4—1061no—
1431C22×C4—1061no—
1432C22×C4—1061no—
1433C22×C4—1061no—
1434C22×C4—1061no—
1435C22×C4—1061no—
1436C22×C4—1061no—
1437C22×C4—1061no—
1438C22×C4—1061no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4C23×D5311yescharacteristic
1444C22×C4C23×D5311yescharacteristic
1445Q16—1062no—
1446SD16—41no—
1447SD16—534no—
1448SD16—1062no—
1449SD16—1062no—
1450SD16—1062no—
1451SD16—2121no—
1452D8—22no—
1453D8—41no—
1454D8—1062no—
1455D8—1062no—
1456D8—1062no—
1457D8—1062no—
1458D8—2121no—
1459D8—2121no—
1460D8—2121no—
1461M16—1062no—
1462M16—1062no—
1463C2×C8—41no—
1464C2×C8—41no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8—531no—
1469C2×C8—1062no—
1470C2×C8—2121no—
1471C2×C8C23×D5311yescharacteristic
1472C2×C8C23×D5311yescharacteristic
1473C2×C8C23×D5311yescharacteristic
1474C2×C8C23×D5311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—531no—
1480C4⋊C4—531no—
1481C4⋊C4—531no—
1482C4⋊C4—531no—
1483C4⋊C4—531no—
1484C4⋊C4—531no—
1485C4⋊C4—531no—
1486C4⋊C4—531no—
1487C4⋊C4—531no—
1488C4⋊C4—531no—
1489C4⋊C4—531no—
1490C4⋊C4—531no—
1491C4⋊C4—531no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4—1061no—
1497C4⋊C4—1061no—
1498C4⋊C4—1061no—
1499C4⋊C4—1061no—
1500C4⋊C4—1061no—
1501C4⋊C4—1061no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4—1061no—
1506C4⋊C4D4×D5311yescharacteristic
1507C4⋊C4C23×D5311yescharacteristic
1508C4⋊C4C23×D5311yescharacteristic
1509C4⋊C4C23×D5311yescharacteristic
1510C4⋊C4C23×D5311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
1525C22⋊C4—531no—
1526C22⋊C4—531no—
1527C22⋊C4—531no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—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⋊C4D4×D5311yescharacteristic
1554C22⋊C4D4×D5311yescharacteristic
1555C42—21no—
1556C42—531no—
1557C42—531no—
1558C42—531no—
1559C42—531no—
1560C42—531no—
1561C42—1061no—
1562C42—1061no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42—1061no—
1570C42C23×D5311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—531no—
1578C23—1061no—
1579C23—1061no—
1580C23—1061no—
1581C23—4241no—
1582C23—4241no—
1583C23—2122no—
1584C23C2×D4×D5311yescharacteristic
1585C23C2×D4×D5311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—532no—
1589Q8—1062no—
1590Q8—1061no—
1591Q8—4241no—
1592Q8—4241no—
1593Q8—2122no—
1594Q8—2122no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—1062no—
1607D4—1061no—
1608D4—1061no—
1609D4—1061no—
1610D4—1061no—
1611D4—1061no—
1612D4—1061no—
1613D4—4241no—
1614D4—4241no—
1615D4—4241no—
1616D4—4241no—
1617D4—4241no—
1618D4—4241no—
1619D4—4241no—
1620D4—4241no—
1621D4—4241no—
1622D4—4241no—
1623D4—4241no—
1624D4—4241no—
1625D4—4241no—
1626D4—2122no—
1627D4—2122no—
1628D4—2121no—
1629D4—2122no—
1630D4—2122no—
1631D4—2122no—
1632D4—2122no—
1633D4#41×D5312yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—531no—
1648C2×C4—531no—
1649C2×C4—531no—
1650C2×C4—531no—
1651C2×C4—531no—
1652C2×C4—531no—
1653C2×C4—531no—
1654C2×C4—1062no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—1061no—
1661C2×C4—1061no—
1662C2×C4—4241no—
1663C2×C4—4241no—
1664C2×C4—4241no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—4241no—
1671C2×C4—4241no—
1672C2×C4—4241no—
1673C2×C4—2122no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2121no—
1678C2×C4—2122no—
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C2×D4×D5311yescharacteristic
1681C2×C4C2×D4×D5311yescharacteristic
1682C2×C4C2×D4×D5311yescharacteristic
1683C2×C4C24×D5311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—532no—
1689C8—1061no—
1690C8—1061no—
1691C8—1061no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—162no—
1708C22—8482no—
1709C22—1061no—
1710C22—1061no—
1711C22—1061no—
1712C22—2121no—
1713C22—2121no—
1714C22—2121no—
1715C22—2121no—
1716C22—2121no—
1717C22—2121no—
1718C22—2121no—
1719C22—2121no—
1720C22—2121no—
1721C22C22×D4×D5311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—532no—
1732C4—1061no—
1733C4—1061no—
1734C4—1061no—
1735C4—1062no—
1736C4—1061no—
1737C4—1061no—
1738C4—1061no—
1739C4—2121no—
1740C4—2121no—
1741C4—2121no—
1742C4—2121no—
1743C4C2×#41×D5311yescharacteristic
1744C4#1681145811yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—4241no—
1751C2—4241no—
1752C2—4241no—
1753C2—2121no—
1754C2#2028819911yescharacteristic
1755C2#576×D5311yescharacteristic
1756C2#2028948411yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3297C2
socleC22×C53C23×D4
hypercenter#3297D53
hypocenterC53#61494
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #20288714C2semidirect
2. #20288663C2semidirect
3. #20287752C2semidirect
4. #20287631C2semidirect
5. #20287408C2semidirect
6. #20287348C2semidirect
7. #20287292C2semidirect
8. #20287213C2semidirect
9. #20287209C2semidirect
10. #20286666C2semidirect
11. #20286660C2semidirect
12. #20286649C2semidirect
13. #20286566C2semidirect
14. #20286524C2semidirect
15. #20286333C2semidirect
16. #20286259C2semidirect
17. #20286251C2semidirect
18. #20285397C2semidirect
19. #20285393C2semidirect
20. #20285289C2semidirect
21. #20284980C2semidirect
22. #20284974C2semidirect
23. #20284960C2semidirect
24. #20284952C2semidirect
25. #20284861C2semidirect
26. #20284859C2semidirect
27. #20283683C2semidirect
28. #20283541C2semidirect
29. #20283540C2semidirect
30. #20283483C2semidirect
31. C53×#3297C2semidirect
36. #16811350C22semidirect
42. #16811317C22semidirect
45. #16811294C22semidirect
46. #16811294C22semidirect
49. #16811291C22semidirect
59. #16811229C22semidirect
60. #16811226C22semidirect
67. #16811168C22semidirect
72. #16811104C22semidirect
73. #16811102C22semidirect
77. #16811091C22semidirect
78. #16811033C22semidirect
79. #16811030C22semidirect
80. #16811027C22semidirect
81. #16811013C22semidirect
82. #16811009C22semidirect
84. #16810979C22semidirect
85. #16810970C22semidirect
87. #16810968C22semidirect
88. #16810968C22semidirect
89. #16810957C22semidirect
90. #16810950C22semidirect
91. #16810949C22semidirect
92. #16810948C22semidirect
93. #16810948C22semidirect
94. #16810947C22semidirect
95. #16810944C22semidirect
96. #16810944C22semidirect
99. #16810925C22semidirect
101. #16810920C22semidirect
102. #16810919C22semidirect
103. #16810917C22semidirect
104. #16810907C22semidirect
105. #16810906C22semidirect
106. #16810903C22semidirect
107. #16810902C22semidirect
108. #16810902C22semidirect
112. #16810872C22semidirect
113. #16810871C22semidirect
115. #16810859C22semidirect
117. #16810857C22semidirect
118. #16810857C22semidirect
119. #16810855C22semidirect
120. #16810848C22semidirect
121. #16810842C22semidirect
122. #16810841C22semidirect
124. #16810821C22semidirect
125. #16810819C22semidirect
130. #16810816C22semidirect
131. #16810783C22semidirect
132. #16810782C22semidirect
134. #16810770C22semidirect
136. #16810766C22semidirect
141. #16810752C22semidirect
142. C8×Dic106C22semidirect
144. #16810734C22semidirect
145. #16810733C22semidirect
147. #16810732C22semidirect
148. #16810732C22semidirect
149. #16810726C22semidirect
150. #16810724C22semidirect
152. #16810722C22semidirect
154. #16810720C22semidirect
155. #16810715C22semidirect
156. #16810715C22semidirect
159. #16810714C22semidirect
160. C4×#11719913C22semidirect
161. #16810708C22semidirect
162. #16810708C22semidirect
163. D8×Dic53C22semidirect
164. #16810705C22semidirect
168. #16810703C22semidirect
169. #16810703C22semidirect
171. #16810695C22semidirect
172. #16810691C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810683C22semidirect
176. #16810681C22semidirect
177. #16810677C22semidirect
178. #16810664C22semidirect
179. #16810663C22semidirect
180. #16810659C22semidirect
181. #16810620C22semidirect
182. #16810620C22semidirect
183. #16810616C22semidirect
185. #16810578C22semidirect
186. #16810577C22semidirect
187. C2×C8×Dic53C22semidirect
188. C53×#553C22semidirect
190. C53×#488C22semidirect
191. C53×#484C22semidirect
192. C53×#482C22semidirect
194. C53×#466C22semidirect
195. C53×#465C22semidirect
196. C53×#463C22semidirect
200. C8×D4×C53C22semidirect
614. #11719923#41semidirect
880. #3297D53semidirect
921. #553C2×D53semidirect
965. #488C2×D53semidirect
971. #484C2×D53semidirect
979. #482C2×D53semidirect
1003. #466C2×D53semidirect
1005. #465C2×D53semidirect
1009. #463C2×D53semidirect
1065. C8×D4C2×D53semidirect
1081. C53#61494semidirect

Maximal subgroups

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

subgroupindex
#202887142
#202886632
#202877522
#202876312
#202874082
#202873482
#202872922
#202872132
#202872092
#202866662
#202866602
#202866492
#202865662
#202865242
#202863332
#202862592
#202862512
#202853972
#202853932
#202852892
#202849802
#202849742
#202849602
#202849522
#202848612
#202848592
#202836832
#202835412
#202835402
#202834832
C53×#32972
#6149453