Finite Group Databasebeta

← #28254242

Subgroups — #28254242

Order 13568.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288102C211yesmaximal, characteristic, complemented
2#542×D53C211yesmaximal, characteristic, complemented
3#20285402C211yesmaximal, characteristic, complemented
4#20285401C211yesmaximal, characteristic, complemented
5#20285396C211yesmaximal, characteristic, complemented
6#20285391C211yesmaximal, characteristic, complemented
7#20285387C211yesmaximal, characteristic, complemented
8#20285386C211yesmaximal, characteristic, complemented
9#20285381C211yesmaximal, characteristic, complemented
10#20285376C211yesmaximal, characteristic, complemented
11#20285357C211yesmaximal, characteristic, complemented
12#20285353C211yesmaximal, characteristic, complemented
13#20285348C211yesmaximal, characteristic, complemented
14#20285332C211yesmaximal, characteristic, complemented
15#20285331C211yesmaximal, characteristic, complemented
16#20285329C211yesmaximal, characteristic, complemented
17#20285326C211yesmaximal, characteristic, complemented
18#20285258C211yesmaximal, characteristic, complemented
19#20285176C211yesmaximal, characteristic, complemented
20#20285107C211yesmaximal, characteristic, complemented
21#20285100C211yesmaximal, characteristic, complemented
22#20284342C211yesmaximal, characteristic, complemented
23#20284340C211yesmaximal, characteristic, complemented
24#20284331C211yesmaximal, characteristic, complemented
25#20284329C211yesmaximal, characteristic, complemented
26#20283537C211yesmaximal, characteristic, complemented
27C4×#13133249C211yesmaximal, characteristic, complemented
28#20283520C211yesmaximal, characteristic, complemented
29C4×#13133241C211yesmaximal, characteristic, complemented
30#20283131C211yesmaximal, characteristic, complemented
31C53×#3175C211yesmaximal, characteristic, complemented
32C2×#13133249C2211yescharacteristic
33C2×#13133246C2211yescharacteristic
34C2×#13133244C2211yescharacteristic
35C2×#13133241C2211yescharacteristic
36C22×#11719912C2211yescharacteristic
37C2×M16×D53C2211yescharacteristic
38#16811247C2211yescharacteristic
39#16811247C2211yescharacteristic, complemented
40#16811246C2211yescharacteristic
41#16811245C2211yescharacteristic
42#16811244C2211yescharacteristic
43#16811244C2211yescharacteristic, complemented
44#16811243—21no—
45#16811242C2211yescharacteristic
46#16811242C2211yescharacteristic, complemented
47#16811241—21no—
48#16811240C2211yescharacteristic
49#16811239—21no—
50#16811238C2211yescharacteristic
51#16811237—21no—
52#16811233C2211yescharacteristic, complemented
53#16811231C2211yescharacteristic, complemented
54#16811226C2211yescharacteristic, complemented
55#16811224C2211yescharacteristic, complemented
56#16811219—21no—
57#16811214—21no—
58#16811209—21no—
59#16811207—21no—
60#16811178C2211yescharacteristic
61#16811172C2211yescharacteristic
62C4⋊Q8×D53C2211yescharacteristic
63#16811159—21no—
64#16811156—21no—
65#16811152—21no—
66#16811150—21no—
67#126×D53—21no—
68#124×D53—21no—
69#124×D53C2211yescharacteristic
70#16811136C2211yescharacteristic
71#16811133C2211yescharacteristic
72#123×D53—21no—
73C22⋊Q8×D53—21no—
74C22⋊Q8×D53C2211yescharacteristic
75#121×D53C2211yescharacteristic
76C4×#11719949C2211yescharacteristic
77C4×#11719947C2211yescharacteristic
78C4×Q8×D53C2211yescharacteristic
79C4×D4×D53C2211yescharacteristic
80#117×D53C2211yescharacteristic
81#16811031C2211yescharacteristic, complemented
82#16811031C2211yescharacteristic, complemented
83#16811031C2211yescharacteristic, complemented
84#16811031C2211yescharacteristic, complemented
85#16811026C2211yescharacteristic, complemented
86#16811021C2211yescharacteristic, complemented
87#16811019C2211yescharacteristic, complemented
88#16811016C2211yescharacteristic, complemented
89#16811014C2211yescharacteristic, complemented
90#16811011C2211yescharacteristic, complemented
91#16811009C2211yescharacteristic, complemented
92#16811007C2211yescharacteristic, complemented
93#16811005C2211yescharacteristic, complemented
94#16811005C2211yescharacteristic, complemented
95#16810985C2211yescharacteristic, complemented
96#16810985C2211yescharacteristic, complemented
97#16810983C2211yescharacteristic, complemented
98#16810983C2211yescharacteristic, complemented
99#16810982C2211yescharacteristic, complemented
100#16810982C2211yescharacteristic, complemented
101#16810979C2211yescharacteristic, complemented
102#16810979C2211yescharacteristic, complemented
103#16810976C2211yescharacteristic, complemented
104#16810976C2211yescharacteristic, complemented
105#16810972C2211yescharacteristic, complemented
106#16810972C2211yescharacteristic, complemented
107#16810968C2211yescharacteristic, complemented
108#16810968C2211yescharacteristic, complemented
109#16810881C2211yescharacteristic, complemented
110#16810880C2211yescharacteristic, complemented
111#16810879C2211yescharacteristic, complemented
112#16810878C2211yescharacteristic, complemented
113#16810876C2211yescharacteristic
114#16810875C2211yescharacteristic
115#16810874C2211yescharacteristic
116#16810873C2211yescharacteristic
117#16810872C2211yescharacteristic, complemented
118#16810871C2211yescharacteristic
119#16810870C2211yescharacteristic
120#16810870C2211yescharacteristic, complemented
121#16810868C2211yescharacteristic
122#16810867C2211yescharacteristic, complemented
123#16810865C2211yescharacteristic, complemented
124#16810863C2211yescharacteristic, complemented
125#16810862C2211yescharacteristic, complemented
126#16810860C2211yescharacteristic
127#16810858C2211yescharacteristic
128#16810857C2211yescharacteristic
129#16810855C2211yescharacteristic
130#16810854C2211yescharacteristic, complemented
131#16810852C2211yescharacteristic
132#16810852C2211yescharacteristic, complemented
133#16810851C2211yescharacteristic, complemented
134#16810850C2211yescharacteristic
135#16810849C2211yescharacteristic
136#16810849C2211yescharacteristic, complemented
137#16810736C2211yescharacteristic, complemented
138#16810735C2211yescharacteristic, complemented
139#16810733C2211yescharacteristic, complemented
140#16810732C2211yescharacteristic, complemented
141#16810731C2211yescharacteristic, complemented
142#16810730C2211yescharacteristic, complemented
143#16810728C2211yescharacteristic, complemented
144#16810727C2211yescharacteristic, complemented
145#16810726C2211yescharacteristic, complemented
146#16810723C2211yescharacteristic, complemented
147#16810722C2211yescharacteristic, complemented
148#16810722C2211yescharacteristic, complemented
149#16810721C2211yescharacteristic, complemented
150#16810720C2211yescharacteristic, complemented
151#16810717C2211yescharacteristic, complemented
152C4×#11719925C2211yescharacteristic, complemented
153#16810715C2211yescharacteristic, complemented
154#16810714C2211yescharacteristic, complemented
155C4×#11719913C2211yescharacteristic, complemented
156C4×#11719913C2211yescharacteristic, complemented
157SD16×Dic53C2211yescharacteristic, complemented
158SD16×Dic53C2211yescharacteristic, complemented
159C4×#11719924C2211yescharacteristic, complemented
160C4×#11719923C2211yescharacteristic, complemented
161#16810708C2211yescharacteristic, complemented
162#16810705C2211yescharacteristic, complemented
163C4×#11719922C2211yescharacteristic, complemented
164#16810703C2211yescharacteristic, complemented
165#16810664C2211yescharacteristic
166#16810664C2211yescharacteristic
167#16810664C2211yescharacteristic
168#16810664C2211yescharacteristic
169#16810630C2211yescharacteristic
170#16810630C2211yescharacteristic
171#16810626C2211yescharacteristic
172#16810626C2211yescharacteristic
173#16810623C2211yescharacteristic
174#16810623C2211yescharacteristic
175#16810621C2211yescharacteristic
176#16810621C2211yescharacteristic
177#16810581C2211yescharacteristic, complemented
178#16810580C2211yescharacteristic, complemented
179#16810580C2211yescharacteristic, complemented
180#16810579C2211yescharacteristic, complemented
181#16810578C2211yescharacteristic, complemented
182#16810577C2211yescharacteristic, complemented
183#16810577C2211yescharacteristic, complemented
184#16810575C2211yescharacteristic
185#16810575C2211yescharacteristic
186C4×#11719912C2211yescharacteristic
187C4×#11719912C2211yescharacteristic
188C53×#542C2211yescharacteristic
189C53×#542C2211yescharacteristic, complemented
190C53×#500C2211yescharacteristic, complemented
191C53×#495C2211yescharacteristic, complemented
192C53×#489C2211yescharacteristic, complemented
193C53×#489C2211yescharacteristic, complemented
194C53×#468C2211yescharacteristic
195C53×#468C2211yescharacteristic, complemented
196C53×#467C2211yescharacteristic, complemented
197C53×#466C2211yescharacteristic
198C53×#440C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C4×Q16×C53C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#405C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719947C2311yescharacteristic
205C2×Q8×D53—21no—
206C2×Q8×D53C2311yescharacteristic
207C2×D4×D53—21no—
208C2×D4×D53C2311yescharacteristic
209C22×C4×D53—21no—
210C22×C4×D53C2311yescharacteristic
211#13133249—24no—
212#13133246—24no—
213#13133244—24no—
214#13133241—24no—
215C2×Dic212C2311yescharacteristic
216C2×#11719925C2311yescharacteristic
217C2×#11719925C2311yescharacteristic
218C2×#11719913C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719923C2311yescharacteristic
222C2×#11719924C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×D424C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719917C2311yescharacteristic
228C2×#11719912—24no—
229C2×#11719912C2311yescharacteristic
230C2×#11719912C2311yescharacteristic
231C2×#11719912C2311yescharacteristic
232C2×#11719912C2311yescharacteristic
233C2×#11719912C2311yescharacteristic
234C2×#11719912C2311yescharacteristic
235M16×D53—24no—
236C22×#88322C2311yescharacteristic
237C2×C8×D53C2311yescharacteristic
238C2×C8×D53C2311yescharacteristic
239#13133217C2311yescharacteristic
240#13133217C2311yescharacteristic
241#13133216—21no—
242#13133216C2311yescharacteristic
243#13133216C2311yescharacteristic
244#13133215—21no—
245#13133215C2311yescharacteristic
246#13133213C2311yescharacteristic
247#13133212—21no—
248#13133212—21no—
249#13133212—21no—
250#13133212—21no—
251#13133212—21no—
252#13133212—21no—
253#13133211—21no—
254#13133211—21no—
255#13133210—21no—
256#13133210—21no—
257#13133210—21no—
258#13133210—21no—
259#13133210—21no—
260#13133210—21no—
261#13133209—21no—
262#13133208—21no—
263#13133208C2311yescharacteristic
264#13133208C2311yescharacteristic
265#13133207—21no—
266#13133207—21no—
267#13133206—21no—
268#13133206—21no—
269#13133206C2311yescharacteristic
270#13133205—21no—
271#13133205C2311yescharacteristic
272#13133205C2311yescharacteristic
273#13133204—21no—
274#13133204C2311yescharacteristic
275#13133203—21no—
276#13133203—21no—
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133202—21no—
284#13133202—21no—
285#13133202—21no—
286#13133202—21no—
287#13133201—21no—
288#13133201—21no—
289#13133201—21no—
290#13133200—21no—
291#13133200—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133199—21no—
296#13133199—21no—
297#13133199—21no—
298#13133198—21no—
299#13133197—21no—
300#13133197—21no—
301#13133197C2311yescharacteristic
302#13133197C2311yescharacteristic
303#13133196—21no—
304#13133196C2311yescharacteristic
305#13133196C2311yescharacteristic
306#13133195—21no—
307#13133195—21no—
308#13133195—21no—
309#13133195—21no—
310#13133194—21no—
311#13133194—21no—
312#13133194—21no—
313#13133194—21no—
314#13133193—21no—
315#13133193—21no—
316#13133193—21no—
317#13133193C2311yescharacteristic
318#13133193C2311yescharacteristic
319#13133192C2311yescharacteristic
320#13133192C2311yescharacteristic
321#13133191—21no—
322#13133191C2311yescharacteristic
323#13133191C2311yescharacteristic
324#13133190—21no—
325#13133190—21no—
326#13133190—21no—
327#13133190—21no—
328#13133189—21no—
329#13133189—21no—
330#13133188—21no—
331#13133188C2311yescharacteristic
332#13133188C2311yescharacteristic
333#13133187—21no—
334#13133185—21no—
335Q8×Dic53—21no—
336Q8×Dic53C2311yescharacteristic
337Q8×Dic53C2311yescharacteristic
338C4×Dic106—21no—
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341#13133182—21no—
342#13133182—21no—
343#13133182C2311yescharacteristic
344#13133182C2311yescharacteristic
345C4×D212—21no—
346C4×D212C2311yescharacteristic
347C4×D212C2311yescharacteristic
348D4×Dic53—21no—
349D4×Dic53C2311yescharacteristic
350D4×Dic53C2311yescharacteristic
351#13133179—21no—
352#13133179—21no—
353#13133179C2311yescharacteristic
354#13133179C2311yescharacteristic
355C4×C22⋊D53—21no—
356C4×C22⋊D53—21no—
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133176C2311yescharacteristic
364#13133175—21no—
365#13133175D411yescharacteristic
366#13133175D411yescharacteristic
367#13133175C2311yescharacteristic
368#13133175C2311yescharacteristic
369#13133174C2311yescharacteristic
370#13133174C2311yescharacteristic
371#13133173—21no—
372#13133173D411yescharacteristic
373#13133173D411yescharacteristic
374C4⋊C4×D53—21no—
375C4⋊C4×D53—21no—
376C4⋊C4×D53—21no—
377C4⋊C4×D53D411yescharacteristic
378C4⋊C4×D53D411yescharacteristic
379C4⋊C4×D53C2311yescharacteristic
380C4⋊C4×D53C2311yescharacteristic
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C22⋊C4×D53—21no—
384C22⋊C4×D53—21no—
385C22⋊C4×D53—21no—
386C22⋊C4×D53D411yescharacteristic
387C22⋊C4×D53D411yescharacteristic
388C2×C4×Dic53—21no—
389C42×D53—21no—
390C42×D53—21no—
391C42×D53C2311yescharacteristic
392C42×D53C2311yescharacteristic
393#13133150C2311yescharacteristic
394#13133150C2311yescharacteristic
395#13133150C2311yescharacteristic
396#13133150C2311yescharacteristic
397#13133149C2311yescharacteristic
398#13133149C2311yescharacteristic
399#13133149C2311yescharacteristic
400#13133149C2311yescharacteristic
401#13133148C2311yescharacteristic
402#13133148C2311yescharacteristic
403#13133148C2311yescharacteristic
404#13133148C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133128C2311yescharacteristic
430#13133128C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433#13133127C2311yescharacteristic
434#13133127C2311yescharacteristic
435C4×#88322C2311yescharacteristic
436C4×#88322C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C8×Dic53C2311yescharacteristic
439C8×Dic53C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C2×Q16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C2×M16×C53C2311yescharacteristic
446C22×C8×C53C2311yescharacteristic
447C4⋊Q8×C53C2311yescharacteristic
448C4⋊Q8×C53C2311yescharacteristic
449#126×C53—21no—
450#126×C53—21no—
451#124×C53—21no—
452#124×C53—21no—
453#124×C53C2311yescharacteristic
454#124×C53C2311yescharacteristic
455#123×C53—21no—
456#123×C53—21no—
457C22⋊Q8×C53—21no—
458C22⋊Q8×C53—21no—
459C22⋊Q8×C53C2311yescharacteristic
460C22⋊Q8×C53C2311yescharacteristic
461#121×C53C2311yescharacteristic
462#121×C53C2311yescharacteristic
463C4×Q8×C53C2311yescharacteristic
464C4×Q8×C53C2311yescharacteristic
465C4×D4×C53C2311yescharacteristic
466C4×D4×C53C2311yescharacteristic
467#117×C53C2311yescharacteristic
468#107×C53C2311yescharacteristic
469#107×C53C2311yescharacteristic
470#107×C53C2311yescharacteristic
471#107×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#97×C53C2311yescharacteristic
481#97×C53C2311yescharacteristic
482C4×C8×C53C2311yescharacteristic
483C4×C8×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53C2×D411yescharacteristic
486C2×Q8×C53—21no—
487C2×Q8×C53—21no—
488C2×Q8×C53C2411yescharacteristic
489C2×Q8×C53C2411yescharacteristic
490C2×D4×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53C2411yescharacteristic
493C2×D4×C53C2411yescharacteristic
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53C2411yescharacteristic
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C22×Dic53—21no—
506C22×Dic53—21no—
507C22×Dic53—21no—
508C22×Dic53C2×D411yescharacteristic
509#11719949—22no—
510#11719949—22no—
511Q8×D53—22no—
512Q8×D53—22no—
513Q8×D53—82no—
514#11719947—22no—
515#11719947—22no—
516D4×D53—22no—
517D4×D53—22no—
518D4×D53—82no—
519C2×D212—21no—
520C2×D212—21no—
521C2×D212—21no—
522C2×D212C2411yescharacteristic
523C2×D212C2411yescharacteristic
524C2×C4×D53—22no—
525C2×C4×D53—22no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53—82no—
535C2×C4×D53C2×D411yescharacteristic
536C2×C4×D53C2×D411yescharacteristic
537C2×C4×D53C2×D411yescharacteristic
538C2×C4×D53C2×D411yescharacteristic
539C2×C4×D53C2×D411yescharacteristic
540C2×C4×D53C2×D411yescharacteristic
541C2×C4×D53C2411yescharacteristic
542C2×C4×D53C2411yescharacteristic
543C2×Dic106—21no—
544C2×Dic106—21no—
545C2×Dic106—21no—
546C2×Dic106—21no—
547C2×Dic106—21no—
548C2×Dic106C2411yescharacteristic
549C2×Dic106C2411yescharacteristic
550Q16×C53—22no—
551SD16×C53—22no—
552SD16×C53—22no—
553D8×C53—22no—
554M16×C53—22no—
555C2×C8×C53—22no—
556C2×C8×C53C2411yescharacteristic
557C2×C8×C53C2411yescharacteristic
558C2×C8×C53C2411yescharacteristic
559C2×C8×C53C2411yescharacteristic
560C4⋊C4×C53—21no—
561C4⋊C4×C53—21no—
562C4⋊C4×C53—21no—
563C4⋊C4×C53—21no—
564C4⋊C4×C53—21no—
565C4⋊C4×C53—21no—
566C4⋊C4×C53C2×D411yescharacteristic
567C4⋊C4×C53C2×D411yescharacteristic
568C4⋊C4×C53C2411yescharacteristic
569C4⋊C4×C53C2411yescharacteristic
570C4⋊C4×C53C2411yescharacteristic
571C4⋊C4×C53C2411yescharacteristic
572C22⋊C4×C53—21no—
573C22⋊C4×C53—21no—
574C22⋊C4×C53—21no—
575C22⋊C4×C53—21no—
576C22⋊C4×C53—21no—
577C22⋊C4×C53—21no—
578C22⋊C4×C53—21no—
579C22⋊C4×C53—21no—
580C22⋊C4×C53—21no—
581C22⋊C4×C53—21no—
582C22⋊C4×C53C2×D411yescharacteristic
583C22⋊C4×C53C2×D411yescharacteristic
584C42×C53—21no—
585C42×C53—21no—
586C42×C53C2411yescharacteristic
587C42×C53C2411yescharacteristic
588C22⋊Dic53—21no—
589C22⋊Dic53—21no—
590C22⋊Dic53—21no—
591C22⋊Dic53—21no—
592C22⋊Dic53—21no—
593C22⋊Dic53—21no—
594C22⋊Dic53—21no—
595C22⋊Dic53—21no—
596C22⋊Dic53C2×D411yescharacteristic
597C22⋊Dic53C2×D411yescharacteristic
598#11719925—22no—
599#11719925—22no—
600#11719924—22no—
601#11719924—22no—
602#11719923—22no—
603#11719923—22no—
604#11719922—22no—
605#11719922—22no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612#11719921—21no—
613#11719921—21no—
614#11719921—21no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
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#11719921C2×D411yescharacteristic
627#11719921C2×D411yescharacteristic
628#11719921C2×D411yescharacteristic
629#11719921C2×D411yescharacteristic
630C4⋊Dic53—21no—
631C4⋊Dic53—21no—
632C4⋊Dic53—21no—
633C4⋊Dic53—21no—
634C4⋊Dic53—21no—
635C4⋊Dic53—21no—
636C4⋊Dic53—21no—
637C4⋊Dic53—21no—
638C4⋊Dic53C2×D411yescharacteristic
639C4⋊Dic53C2×D411yescharacteristic
640C4⋊Dic53C2411yescharacteristic
641C4⋊Dic53C2411yescharacteristic
642C4⋊Dic53C2411yescharacteristic
643C4⋊Dic53C2411yescharacteristic
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
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#11719919C2×D411yescharacteristic
661#11719919C2×D411yescharacteristic
662#11719919C2×D411yescharacteristic
663#11719919C2×D411yescharacteristic
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53C2×D411yescharacteristic
673C4×Dic53C2×D411yescharacteristic
674C4×Dic53C2×D411yescharacteristic
675C4×Dic53C2×D411yescharacteristic
676C4×Dic53C2411yescharacteristic
677C4×Dic53C2411yescharacteristic
678#11719917—22no—
679C2×#88322—22no—
680C2×#88322C2411yescharacteristic
681C2×#88322C2411yescharacteristic
682C2×#88322C2411yescharacteristic
683C2×#88322C2411yescharacteristic
684Dic212—22no—
685D424—22no—
686#11719913—22no—
687#11719913—22no—
688#11719912—22no—
689#11719912—22no—
690#11719912—22no—
691#11719912—22no—
692#11719912#4114yes—
693#11719912#4114yes—
694C8×D53—22no—
695C8×D53—22no—
696C23×C53—21no—
697C23×C53—21no—
698C23×C53C22×D411yescharacteristic
699C22×D53—22no—
700C22×D53—21no—
701C22×D53—21no—
702C22×D53—41no—
703C22×D53—41no—
704C22×D53—42no—
705C22×D53—42no—
706C22×D53—42no—
707C22×D53C22×D411yescharacteristic
708C22×D53C22×D411yescharacteristic
709Q8×C53—21no—
710Q8×C53—21no—
711Q8×C53—21no—
712Q8×C53—21no—
713Q8×C53—81no—
714Q8×C53—81no—
715D4×C53—21no—
716D4×C53—21no—
717D4×C53—21no—
718D4×C53—21no—
719D4×C53—81no—
720D4×C53—81no—
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—81no—
730C2×C4×C53—81no—
731C2×C4×C53C22×D411yescharacteristic
732C2×C4×C53C22×D411yescharacteristic
733C2×C4×C53C22×D411yescharacteristic
734C2×C4×C53C22×D411yescharacteristic
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C2511yescharacteristic
737C22⋊D53—42no—
738C22⋊D53—42no—
739C22⋊D53—81no—
740C22⋊D53—81no—
741C22⋊D53—81no—
742C22⋊D53—81no—
743C22⋊D53—81no—
744C22⋊D53—81no—
745C2×Dic53—22no—
746C2×Dic53—21no—
747C2×Dic53—21no—
748C2×Dic53—21no—
749C2×Dic53—21no—
750C2×Dic53—21no—
751C2×Dic53—21no—
752C2×Dic53—42no—
753C2×Dic53—81no—
754C2×Dic53—81no—
755C2×Dic53C22×D411yescharacteristic
756C2×Dic53C22×D411yescharacteristic
757C2×Dic53C22×D411yescharacteristic
758C2×Dic53C22×D411yescharacteristic
759C2×Dic53C22×D411yescharacteristic
760C2×Dic53C22×D411yescharacteristic
761D212—21no—
762D212—21no—
763D212—21no—
764D212—21no—
765D212—42no—
766D212—81no—
767D212—81no—
768C4×D53—22no—
769C4×D53—21no—
770C4×D53—21no—
771C4×D53—22no—
772C4×D53—41no—
773C4×D53—41no—
774C4×D53—41no—
775C4×D53—41no—
776C4×D53—42no—
777C4×D53—42no—
778C4×D53—42no—
779C4×D53—42no—
780C4×D53—81no—
781C4×D53—81no—
782C4×D53—81no—
783C4×D53—81no—
784C4×D53C2×#4112yes—
785C4×D53C2×#4112yes—
786Dic106—21no—
787Dic106—21no—
788Dic106—21no—
789Dic106—21no—
790Dic106—42no—
791Dic106—81no—
792Dic106—81no—
793Dic106—81no—
794Dic106—81no—
795C8×C53—21no—
796C8×C53—21no—
797C8×C53C2×#4112yes—
798C8×C53C2×#4112yes—
799#88322—21no—
800#88322—21no—
801#88322C2×#4112yes—
802#88322C2×#4112yes—
803#60703—531nomaximal, Sylow
804C22×C53—21no—
805C22×C53—21no—
806C22×C53—21no—
807C22×C53—41no—
808C22×C53—41no—
809C22×C53—41no—
810C22×C53—41no—
811C22×C53—41no—
812C22×C53—41no—
813C22×C53C23×D411yescharacteristic
814C2×D53—21no—
815C2×D53—21no—
816C2×D53—21no—
817C2×D53—21no—
818C2×D53—21no—
819C2×D53—41no—
820C2×D53—41no—
821C2×D53—41no—
822C2×D53—41no—
823C2×D53—41no—
824C2×D53—41no—
825C2×D53—82no—
826C2×D53—84no—
827C2×D53#53212yes—
828C4×C53—21no—
829C4×C53—21no—
830C4×C53—21no—
831C4×C53—21no—
832C4×C53—21no—
833C4×C53—41no—
834C4×C53—41no—
835C4×C53—41no—
836C4×C53—41no—
837C4×C53—41no—
838C4×C53—41no—
839C4×C53C22×#4111yescharacteristic
840C4×C53C22×#4111yescharacteristic
841Dic53—21no—
842Dic53—21no—
843Dic53—21no—
844Dic53—21no—
845Dic53—21no—
846Dic53—41no—
847Dic53—41no—
848Dic53—41no—
849Dic53—41no—
850Dic53—41no—
851Dic53—41no—
852Dic53#53212yes—
853#3455—531no—
854C2×#542—531no—
855#3179—531no—
856#3179—531no—
857#3179—531no—
858#3179—531no—
859#3178—531no—
860#3178—531no—
861#3178—531no—
862#3178—531no—
863#3175—531no—
864#3175—531no—
865#3175—531no—
866#3175D5311yescharacteristic, complemented
867#3173—531no—
868#3173—531no—
869#3173—531no—
870#3173—531no—
871#3165—531no—
872#3153—531no—
873#3141—531no—
874#3140—531no—
875#3056—531no—
876#3056—531no—
877#3055—531no—
878#3055—531no—
879C4×#137—531no—
880C4×#137—531no—
881C4×AGL(1,ℤ/8)—531no—
882C4×AGL(1,ℤ/8)—531no—
883#2873—531no—
884C2×C53—41no—
885C2×C53—81no—
886C2×C53—81no—
887C2×C53C2×#53211yescharacteristic
888C2×C53#358511yescharacteristic
889C2×C53#358611yescharacteristic
890D53—22no—
891D53—41no—
892D53—81no—
893D53—81no—
894C2×#137—531no—
895C2×#137—531no—
896C2×AGL(1,ℤ/8)—531no—
897C2×AGL(1,ℤ/8)—531no—
898C22×M16—531no—
899C22×M16—531no—
900#542—531no—
901#542—531no—
902#542—531no—
903#542—531no—
904#542—531no—
905#542—531no—
906#542—531no—
907#542—531no—
908#542—531no—
909#542—531no—
910#542—1061no—
911#542—1061no—
912#542—1061no—
913#542—1061no—
914#542C2×D5311yescharacteristic
915#542C2×D5311yescharacteristic, complemented
916#541—531no—
917#541—531no—
918#540—531no—
919#540—531no—
920#539—1061no—
921#539—1061no—
922#538—1061no—
923#538—1061no—
924#533—531no—
925#532—531no—
926C2×C4⋊Q8—531no—
927#529—1061no—
928#529—1061no—
929#529—1061no—
930#529—1061no—
931C2×#126—1061no—
932C2×#124—531no—
933C2×#124—1061no—
934#525—531no—
935#525—531no—
936C2×#123—1061no—
937C2×C22⋊Q8—531no—
938C2×C22⋊Q8—1061no—
939C2×#121—531no—
940C4×#41—531no—
941C4×#41—531no—
942C2×C4×Q8—531no—
943C2×C4×D4—531no—
944C2×#117—531no—
945#501—531no—
946#501—531no—
947#501—531no—
948#501—531no—
949#500—531no—
950#500C2×D5311yescharacteristic, complemented
951#498—531no—
952#498—531no—
953#497—531no—
954#497—531no—
955#496—531no—
956#496—531no—
957#495—531no—
958#495—531no—
959#495—531no—
960#495C2×D5311yescharacteristic, complemented
961#489—531no—
962#489—531no—
963#489—531no—
964#489—531no—
965#489—531no—
966#489—531no—
967#489C2×D5311yescharacteristic, complemented
968#489C2×D5311yescharacteristic, complemented
969#488—531no—
970#488—531no—
971#488—531no—
972#488—531no—
973#487—531no—
974#487—531no—
975#486—531no—
976#486—531no—
977#470—531no—
978#470—531no—
979#470—531no—
980#470—531no—
981#469—531no—
982#469—531no—
983#469—531no—
984#469—531no—
985#468—531no—
986#468—531no—
987#468—531no—
988#468—531no—
989#468—531no—
990#468—531no—
991#468C2×D5311yescharacteristic
992#468C2×D5311yescharacteristic, complemented
993#467—531no—
994#467—531no—
995#467—531no—
996#467C2×D5311yescharacteristic, complemented
997#466—531no—
998#466—531no—
999#466—531no—
1000#466C2×D5311yescharacteristic
1001#465—531no—
1002#465—531no—
1003#465—531no—
1004#465—531no—
1005#465—531no—
1006#465—531no—
1007#465—531no—
1008#465—531no—
1009#442—531no—
1010#442—531no—
1011#442—531no—
1012#442—531no—
1013#441—531no—
1014#441—531no—
1015#441—531no—
1016#441—531no—
1017#440—531no—
1018#440—531no—
1019#440—531no—
1020#440—531no—
1021#440—531no—
1022#440—531no—
1023#440C2×D5311yescharacteristic, complemented
1024#440C2×D5311yescharacteristic, complemented
1025C4×Q16—531no—
1026C4×Q16—531no—
1027C4×Q16—531no—
1028C4×Q16C2×D5311yescharacteristic, complemented
1029C4×SD16—531no—
1030C4×SD16—531no—
1031C4×SD16—531no—
1032C4×SD16—531no—
1033C4×SD16—531no—
1034C4×SD16—531no—
1035C4×SD16—531no—
1036C4×SD16—531no—
1037C4×D8—531no—
1038C4×D8—531no—
1039C4×D8—531no—
1040C4×D8C2×D5311yescharacteristic, complemented
1041#428—531no—
1042#428—531no—
1043#428—531no—
1044#428—531no—
1045#419—531no—
1046#419—531no—
1047#418—531no—
1048#418—531no—
1049#417—531no—
1050#417—531no—
1051#417—531no—
1052#417—531no—
1053#405—531no—
1054#405—531no—
1055#405—531no—
1056#405—531no—
1057#405—531no—
1058#405—531no—
1059#405—531no—
1060#405C2×D5311yescharacteristic, complemented
1061C4×M16—531no—
1062C4×M16—531no—
1063C4×M16—531no—
1064C4×M16—531no—
1065C53#6070311yescharacteristic, complemented, Sylow
1066C2×#41—531no—
1067C2×#41—531no—
1068C22×Q8—531no—
1069C22×Q8—1061no—
1070C22×D4—531no—
1071C22×D4—1061no—
1072C23×C4—531no—
1073C23×C4—1061no—
1074#137—1064no—
1075#137—1064no—
1076AGL(1,ℤ/8)—1064no—
1077AGL(1,ℤ/8)—1064no—
1078C2×Q16—531no—
1079C2×Q16—531no—
1080C2×Q16—531no—
1081C2×Q16C22×D5311yescharacteristic
1082C2×SD16—531no—
1083C2×SD16—531no—
1084C2×SD16—531no—
1085C2×SD16—531no—
1086C2×SD16—531no—
1087C2×SD16—531no—
1088C2×SD16C22×D5311yescharacteristic
1089C2×SD16C22×D5311yescharacteristic
1090C2×D8—531no—
1091C2×D8—531no—
1092C2×D8—531no—
1093C2×D8C22×D5311yescharacteristic
1094C2×M16—531no—
1095C2×M16—531no—
1096C2×M16—531no—
1097C2×M16—531no—
1098C2×M16—531no—
1099C2×M16—531no—
1100C2×M16—531no—
1101C2×M16—1064no—
1102C2×M16—1064no—
1103C2×M16C22×D5311yescharacteristic
1104C22×C8—531no—
1105C22×C8—531no—
1106C22×C8—531no—
1107C22×C8C22×D5311yescharacteristic
1108C4⋊Q8—531no—
1109C4⋊Q8—531no—
1110C4⋊Q8—531no—
1111C4⋊Q8—531no—
1112C4⋊Q8—531no—
1113C4⋊Q8—1061no—
1114C4⋊Q8—1061no—
1115C4⋊Q8C22×D5311yescharacteristic
1116C4⋊Q8C22×D5311yescharacteristic
1117#127—531no—
1118#126—21no—
1119#126—21no—
1120#126—1061no—
1121#126—1061no—
1122#126—1061no—
1123#126—1061no—
1124#126—1061no—
1125#126—1061no—
1126#126—1061no—
1127#126—1061no—
1128#126—1061no—
1129#126—1061no—
1130#126—1061no—
1131#126—1061no—
1132#126—1061no—
1133#126—1061no—
1134#125—531no—
1135#125—531no—
1136#125—1061no—
1137#125—1061no—
1138#125—1061no—
1139#125—1061no—
1140#124—21no—
1141#124—21no—
1142#124—531no—
1143#124—531no—
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#124—1061no—
1157#124—1061no—
1158#124C22×D5311yescharacteristic
1159#124C22×D5311yescharacteristic
1160#123—21no—
1161#123—21no—
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—
1173#123—1061no—
1174#123—1061no—
1175#123—1061no—
1176#123—1061no—
1177#123—1061no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—531no—
1181C22⋊Q8—531no—
1182C22⋊Q8—531no—
1183C22⋊Q8—531no—
1184C22⋊Q8—531no—
1185C22⋊Q8—531no—
1186C22⋊Q8—1061no—
1187C22⋊Q8—1061no—
1188C22⋊Q8—1061no—
1189C22⋊Q8—1061no—
1190C22⋊Q8—1061no—
1191C22⋊Q8—1061no—
1192C22⋊Q8—1061no—
1193C22⋊Q8—1061no—
1194C22⋊Q8—1061no—
1195C22⋊Q8—1061no—
1196C22⋊Q8—1061no—
1197C22⋊Q8—1061no—
1198C22⋊Q8—1061no—
1199C22⋊Q8—1061no—
1200C22⋊Q8C22×D5311yescharacteristic
1201C22⋊Q8C22×D5311yescharacteristic
1202#121—531no—
1203#121—531no—
1204#121—531no—
1205#121—531no—
1206#121—531no—
1207#121—531no—
1208#121—1061no—
1209#121—1061no—
1210#121—1061no—
1211#121—1061no—
1212#121—1061no—
1213#121—1061no—
1214#121—1061no—
1215#121—1061no—
1216#121C22×D5311yescharacteristic
1217#121C22×D5311yescharacteristic
1218#120—1061no—
1219#120—1061no—
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×Q8—1061no—
1229C4×Q8—1061no—
1230C4×Q8C22×D5311yescharacteristic
1231C4×Q8C22×D5311yescharacteristic
1232C4×D4—531no—
1233C4×D4—531no—
1234C4×D4—531no—
1235C4×D4—531no—
1236C4×D4—531no—
1237C4×D4—531no—
1238C4×D4—1061no—
1239C4×D4—1061no—
1240C4×D4—1061no—
1241C4×D4—1061no—
1242C4×D4—1061no—
1243C4×D4—1061no—
1244C4×D4—1061no—
1245C4×D4—1061no—
1246C4×D4—1061no—
1247C4×D4—1061no—
1248C4×D4—1061no—
1249C4×D4—1061no—
1250C4×D4C22×D5311yescharacteristic
1251C4×D4C22×D5311yescharacteristic
1252#117—531no—
1253#117—531no—
1254#117—531no—
1255#117—531no—
1256#117—531no—
1257#117—531no—
1258#117—531no—
1259#117—531no—
1260#117—531no—
1261#117—1061no—
1262#117—1061no—
1263#117C22×D5311yescharacteristic
1264C2×C4⋊C4—531no—
1265C2×C4⋊C4—531no—
1266C2×C4⋊C4—531no—
1267C2×C4⋊C4—531no—
1268C2×C4⋊C4—1061no—
1269C2×C4⋊C4—1061no—
1270C2×C4⋊C4—1061no—
1271C2×C22⋊C4—531no—
1272C2×C22⋊C4—531no—
1273C2×C22⋊C4—1061no—
1274C2×C22⋊C4—1061no—
1275C2×C22⋊C4—1061no—
1276C2×C22⋊C4—1061no—
1277C2×C22⋊C4—1061no—
1278C2×C42—531no—
1279C2×C42—531no—
1280C2×C42—1061no—
1281C2×C42—1061no—
1282C2×C42—1061no—
1283#107—531no—
1284#107—531no—
1285#107—531no—
1286#107—531no—
1287#107C22×D5311yescharacteristic
1288#107C22×D5311yescharacteristic
1289#107C22×D5311yescharacteristic
1290#107C22×D5311yescharacteristic
1291#106—531no—
1292#106—531no—
1293#106—531no—
1294#106—531no—
1295#106—531no—
1296#106—531no—
1297#106—531no—
1298#106—531no—
1299#103—531no—
1300#103—531no—
1301#103—531no—
1302#103—531no—
1303#103—531no—
1304#103—531no—
1305#103—531no—
1306#103—531no—
1307#103—531no—
1308#103—531no—
1309#103—531no—
1310#103—531no—
1311#103C22×D5311yescharacteristic
1312#103C22×D5311yescharacteristic
1313#103C22×D5311yescharacteristic
1314#103C22×D5311yescharacteristic
1315#102—531no—
1316#102—531no—
1317#102—531no—
1318#102—531no—
1319#102—531no—
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102C22×D5311yescharacteristic
1328#102C22×D5311yescharacteristic
1329#102C22×D5311yescharacteristic
1330#102C22×D5311yescharacteristic
1331#97—531no—
1332#97—531no—
1333#97—531no—
1334#97—531no—
1335#97—531no—
1336#97—531no—
1337#97C22×D5311yescharacteristic
1338#97C22×D5311yescharacteristic
1339C4×C8—531no—
1340C4×C8—531no—
1341C4×C8—531no—
1342C4×C8—531no—
1343C4×C8—531no—
1344C4×C8—531no—
1345C4×C8C22×D5311yescharacteristic
1346C4×C8C22×D5311yescharacteristic
1347C24—531no—
1348C24—1061no—
1349#41—1062no—
1350#41—1062no—
1351#41—1062no—
1352#41—1062no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—531no—
1356C2×Q8—531no—
1357C2×Q8—1061no—
1358C2×Q8—1061no—
1359C2×Q8—1061no—
1360C2×Q8—1062no—
1361C2×Q8—1062no—
1362C2×Q8—1061no—
1363C2×Q8—1061no—
1364C2×Q8—4242no—
1365C2×Q8C23×D5311yescharacteristic
1366C2×Q8C23×D5311yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—531no—
1370C2×D4—531no—
1371C2×D4—1061no—
1372C2×D4—1061no—
1373C2×D4—1061no—
1374C2×D4—1062no—
1375C2×D4—1062no—
1376C2×D4—1061no—
1377C2×D4—1061no—
1378C2×D4—1061no—
1379C2×D4—1061no—
1380C2×D4—1061no—
1381C2×D4—1061no—
1382C2×D4—1061no—
1383C2×D4—1061no—
1384C2×D4—4242no—
1385C2×D4C23×D5311yescharacteristic
1386C2×D4C23×D5311yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—531no—
1390C22×C4—531no—
1391C22×C4—531no—
1392C22×C4—531no—
1393C22×C4—531no—
1394C22×C4—531no—
1395C22×C4—531no—
1396C22×C4—531no—
1397C22×C4—531no—
1398C22×C4—1062no—
1399C22×C4—1062no—
1400C22×C4—1061no—
1401C22×C4—1061no—
1402C22×C4—1061no—
1403C22×C4—1061no—
1404C22×C4—1061no—
1405C22×C4—1061no—
1406C22×C4—1061no—
1407C22×C4—1061no—
1408C22×C4—1061no—
1409C22×C4—1061no—
1410C22×C4—1061no—
1411C22×C4—4242no—
1412C22×C4C23×D5311yescharacteristic
1413Q16—22no—
1414Q16—1062no—
1415Q16—1062no—
1416Q16—1062no—
1417SD16—22no—
1418SD16—22no—
1419SD16—1062no—
1420SD16—1062no—
1421SD16—1062no—
1422SD16—1062no—
1423SD16—1062no—
1424SD16—1062no—
1425D8—22no—
1426D8—1062no—
1427D8—1062no—
1428D8—1062no—
1429M16—22no—
1430M16—534no—
1431M16—534no—
1432M16—1062no—
1433M16—1062no—
1434M16—1062no—
1435M16—1062no—
1436M16—1062no—
1437C2×C8—22no—
1438C2×C8—531no—
1439C2×C8—531no—
1440C2×C8—531no—
1441C2×C8—531no—
1442C2×C8—1062no—
1443C2×C8—1062no—
1444C2×C8—1062no—
1445C2×C8C23×D5311yescharacteristic
1446C2×C8C23×D5311yescharacteristic
1447C2×C8C23×D5311yescharacteristic
1448C2×C8C23×D5311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—531no—
1456C4⋊C4—531no—
1457C4⋊C4—531no—
1458C4⋊C4—531no—
1459C4⋊C4—531no—
1460C4⋊C4—531no—
1461C4⋊C4—531no—
1462C4⋊C4—531no—
1463C4⋊C4—531no—
1464C4⋊C4—531no—
1465C4⋊C4—1061no—
1466C4⋊C4—1061no—
1467C4⋊C4—1061no—
1468C4⋊C4—1061no—
1469C4⋊C4—1061no—
1470C4⋊C4—1061no—
1471C4⋊C4—1061no—
1472C4⋊C4—1061no—
1473C4⋊C4—1061no—
1474C4⋊C4—1061no—
1475C4⋊C4—1061no—
1476C4⋊C4—1061no—
1477C4⋊C4—1061no—
1478C4⋊C4—1061no—
1479C4⋊C4—1061no—
1480C4⋊C4—1061no—
1481C4⋊C4—1061no—
1482C4⋊C4—1061no—
1483C4⋊C4—1061no—
1484C4⋊C4—1061no—
1485C4⋊C4—1061no—
1486C4⋊C4—1061no—
1487C4⋊C4—1061no—
1488C4⋊C4—1061no—
1489C4⋊C4D4×D5311yescharacteristic
1490C4⋊C4D4×D5311yescharacteristic
1491C4⋊C4C23×D5311yescharacteristic
1492C4⋊C4C23×D5311yescharacteristic
1493C4⋊C4C23×D5311yescharacteristic
1494C4⋊C4C23×D5311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—531no—
1506C22⋊C4—531no—
1507C22⋊C4—531no—
1508C22⋊C4—531no—
1509C22⋊C4—531no—
1510C22⋊C4—531no—
1511C22⋊C4—1061no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4—1061no—
1516C22⋊C4—1061no—
1517C22⋊C4—1061no—
1518C22⋊C4—1061no—
1519C22⋊C4—1061no—
1520C22⋊C4—1061no—
1521C22⋊C4—1061no—
1522C22⋊C4—1061no—
1523C22⋊C4—1061no—
1524C22⋊C4—1061no—
1525C22⋊C4—1061no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4D4×D5311yescharacteristic
1540C22⋊C4D4×D5311yescharacteristic
1541C42—21no—
1542C42—21no—
1543C42—531no—
1544C42—531no—
1545C42—531no—
1546C42—531no—
1547C42—531no—
1548C42—531no—
1549C42—1061no—
1550C42—1061no—
1551C42—1061no—
1552C42—1061no—
1553C42—1061no—
1554C42—1061no—
1555C42—1061no—
1556C42—1061no—
1557C42C23×D5311yescharacteristic
1558C42C23×D5311yescharacteristic
1559C23—21no—
1560C23—21no—
1561C23—531no—
1562C23—531no—
1563C23—1062no—
1564C23—1061no—
1565C23—1061no—
1566C23—2121no—
1567C23—2121no—
1568C23—2122no—
1569C23—2122no—
1570C23—2122no—
1571C23C2×D4×D5311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—81no—
1577Q8—81no—
1578Q8—1061no—
1579Q8—1061no—
1580Q8—1061no—
1581Q8—1061no—
1582Q8—4241no—
1583Q8—4241no—
1584Q8—4241no—
1585Q8—4241no—
1586Q8—2122no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—81no—
1592D4—81no—
1593D4—1061no—
1594D4—1061no—
1595D4—1061no—
1596D4—1061no—
1597D4—4241no—
1598D4—4241no—
1599D4—4241no—
1600D4—4241no—
1601D4—4241no—
1602D4—4241no—
1603D4—4241no—
1604D4—4241no—
1605D4—2122no—
1606D4—2122no—
1607D4—2122no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—531no—
1619C2×C4—532no—
1620C2×C4—532no—
1621C2×C4—531no—
1622C2×C4—531no—
1623C2×C4—531no—
1624C2×C4—531no—
1625C2×C4—531no—
1626C2×C4—1062no—
1627C2×C4—1062no—
1628C2×C4—1062no—
1629C2×C4—1061no—
1630C2×C4—1061no—
1631C2×C4—1061no—
1632C2×C4—1061no—
1633C2×C4—1061no—
1634C2×C4—1061no—
1635C2×C4—1061no—
1636C2×C4—1061no—
1637C2×C4—4241no—
1638C2×C4—4241no—
1639C2×C4—4241no—
1640C2×C4—4241no—
1641C2×C4—4241no—
1642C2×C4—4241no—
1643C2×C4—2121no—
1644C2×C4—2121no—
1645C2×C4—2121no—
1646C2×C4—2121no—
1647C2×C4—2122no—
1648C2×C4—2122no—
1649C2×C4—2122no—
1650C2×C4—2122no—
1651C2×C4—2122no—
1652C2×C4C2×D4×D5311yescharacteristic
1653C2×C4C2×D4×D5311yescharacteristic
1654C2×C4C2×D4×D5311yescharacteristic
1655C2×C4C2×D4×D5311yescharacteristic
1656C2×C4C2×D4×D5311yescharacteristic
1657C2×C4C24×D5311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—532no—
1661C8—532no—
1662C8—1061no—
1663C8—1061no—
1664C8#41×D5312yes—
1665C8#41×D5312yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—532no—
1676C22—1061no—
1677C22—1061no—
1678C22—1061no—
1679C22—1061no—
1680C22—1061no—
1681C22—4242no—
1682C22—4244no—
1683C22—2121no—
1684C22—2121no—
1685C22—2121no—
1686C22—2121no—
1687C22—2121no—
1688C22—2121no—
1689C22C22×D4×D5311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—532no—
1702C4—1061no—
1703C4—1061no—
1704C4—1061no—
1705C4—1061no—
1706C4—1061no—
1707C4—2121no—
1708C4—2121no—
1709C4—2121no—
1710C4—2121no—
1711C4—2121no—
1712C4—2121no—
1713C4C2×#41×D5311yescharacteristic
1714C4C2×#41×D5311yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—1062no—
1719C2—4241no—
1720C2—4241no—
1721C2—2121no—
1722C2#532×D5311yescharacteristic
1723C2#2028949011yescharacteristic
1724C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3175C2
socleC22×C53C23×D4
hypercenter#3175D53
hypocenterC53#60703
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3175

Complements

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

NH ≅ G/Ntype
1. #20288102C2semidirect
2. #542×D53C2semidirect
3. #20285402C2semidirect
4. #20285401C2semidirect
5. #20285396C2semidirect
6. #20285391C2semidirect
7. #20285387C2semidirect
8. #20285386C2semidirect
9. #20285381C2semidirect
10. #20285376C2semidirect
11. #20285357C2semidirect
12. #20285353C2semidirect
13. #20285348C2semidirect
14. #20285332C2semidirect
15. #20285331C2semidirect
16. #20285329C2semidirect
17. #20285326C2semidirect
18. #20285258C2semidirect
19. #20285176C2semidirect
20. #20285107C2semidirect
21. #20285100C2semidirect
22. #20284342C2semidirect
23. #20284340C2semidirect
24. #20284331C2semidirect
25. #20284329C2semidirect
26. #20283537C2semidirect
27. C4×#13133249C2semidirect
28. #20283520C2semidirect
29. C4×#13133241C2semidirect
30. #20283131C2semidirect
31. C53×#3175C2semidirect
39. #16811247C22semidirect
43. #16811244C22semidirect
46. #16811242C22semidirect
52. #16811233C22semidirect
53. #16811231C22semidirect
54. #16811226C22semidirect
55. #16811224C22semidirect
81. #16811031C22semidirect
82. #16811031C22semidirect
83. #16811031C22semidirect
84. #16811031C22semidirect
85. #16811026C22semidirect
86. #16811021C22semidirect
87. #16811019C22semidirect
88. #16811016C22semidirect
89. #16811014C22semidirect
90. #16811011C22semidirect
91. #16811009C22semidirect
92. #16811007C22semidirect
93. #16811005C22semidirect
94. #16811005C22semidirect
95. #16810985C22semidirect
96. #16810985C22semidirect
97. #16810983C22semidirect
98. #16810983C22semidirect
99. #16810982C22semidirect
100. #16810982C22semidirect
101. #16810979C22semidirect
102. #16810979C22semidirect
103. #16810976C22semidirect
104. #16810976C22semidirect
105. #16810972C22semidirect
106. #16810972C22semidirect
107. #16810968C22semidirect
108. #16810968C22semidirect
109. #16810881C22semidirect
110. #16810880C22semidirect
111. #16810879C22semidirect
112. #16810878C22semidirect
117. #16810872C22semidirect
120. #16810870C22semidirect
122. #16810867C22semidirect
123. #16810865C22semidirect
124. #16810863C22semidirect
125. #16810862C22semidirect
130. #16810854C22semidirect
132. #16810852C22semidirect
133. #16810851C22semidirect
136. #16810849C22semidirect
137. #16810736C22semidirect
138. #16810735C22semidirect
139. #16810733C22semidirect
140. #16810732C22semidirect
141. #16810731C22semidirect
142. #16810730C22semidirect
143. #16810728C22semidirect
144. #16810727C22semidirect
145. #16810726C22semidirect
146. #16810723C22semidirect
147. #16810722C22semidirect
148. #16810722C22semidirect
149. #16810721C22semidirect
150. #16810720C22semidirect
151. #16810717C22semidirect
152. C4×#11719925C22semidirect
153. #16810715C22semidirect
154. #16810714C22semidirect
155. C4×#11719913C22semidirect
156. C4×#11719913C22semidirect
157. SD16×Dic53C22semidirect
158. SD16×Dic53C22semidirect
159. C4×#11719924C22semidirect
160. C4×#11719923C22semidirect
161. #16810708C22semidirect
162. #16810705C22semidirect
163. C4×#11719922C22semidirect
164. #16810703C22semidirect
177. #16810581C22semidirect
178. #16810580C22semidirect
179. #16810580C22semidirect
180. #16810579C22semidirect
181. #16810578C22semidirect
182. #16810577C22semidirect
183. #16810577C22semidirect
189. C53×#542C22semidirect
190. C53×#500C22semidirect
191. C53×#495C22semidirect
192. C53×#489C22semidirect
193. C53×#489C22semidirect
195. C53×#468C22semidirect
196. C53×#467C22semidirect
198. C53×#440C22semidirect
199. C53×#440C22semidirect
200. C4×Q16×C53C22semidirect
201. C4×D8×C53C22semidirect
202. C53×#405C22semidirect
866. #3175D53semidirect
915. #542C2×D53semidirect
950. #500C2×D53semidirect
960. #495C2×D53semidirect
967. #489C2×D53semidirect
968. #489C2×D53semidirect
992. #468C2×D53semidirect
996. #467C2×D53semidirect
1023. #440C2×D53semidirect
1024. #440C2×D53semidirect
1028. C4×Q16C2×D53semidirect
1040. C4×D8C2×D53semidirect
1060. #405C2×D53semidirect
1065. C53#60703semidirect

Maximal subgroups

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

subgroupindex
#202881022
#542×D532
#202854022
#202854012
#202853962
#202853912
#202853872
#202853862
#202853812
#202853762
#202853572
#202853532
#202853482
#202853322
#202853312
#202853292
#202853262
#202852582
#202851762
#202851072
#202851002
#202843422
#202843402
#202843312
#202843292
#202835372
C4×#131332492
#202835202
C4×#131332412
#202831312
C53×#31752
#6070353