Finite Group Databasebeta

← #28252772

Subgroups — #28252772

Order 13568.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288136C211yesmaximal, characteristic, complemented
2C4×#13133265C211yesmaximal, characteristic, complemented
3#20285008C211yesmaximal, characteristic, complemented
4#20285000C211yesmaximal, characteristic, complemented
5#20284980C211yesmaximal, characteristic, complemented
6#20284976C211yesmaximal, characteristic, complemented
7#20284945C211yesmaximal, characteristic, complemented
8#20284941C211yesmaximal, characteristic, complemented
9#20284921C211yesmaximal, characteristic, complemented
10#20284909C211yesmaximal, characteristic, complemented
11#20284890C211yesmaximal, characteristic, complemented
12#20284867C211yesmaximal, characteristic, complemented
13#20284864C211yesmaximal, characteristic, complemented
14#20284837C211yesmaximal, characteristic, complemented
15#20284835C211yesmaximal, characteristic, complemented
16#20284830C211yesmaximal, characteristic, complemented
17#20284818C211yesmaximal, characteristic, complemented
18#20284694C211yesmaximal, characteristic, complemented
19#20284672C211yesmaximal, characteristic, complemented
20#20284569C211yesmaximal, characteristic, complemented
21#20284554C211yesmaximal, characteristic, complemented
22#20284257C211yesmaximal, characteristic, complemented
23#20284234C211yesmaximal, characteristic, complemented
24#20284031C211yesmaximal, characteristic, complemented
25#20283996C211yesmaximal, characteristic, complemented
26#20283531C211yesmaximal, characteristic, complemented
27#20283520C211yesmaximal, characteristic, complemented
28#20283514C211yesmaximal, characteristic, complemented
29#440×D53C211yesmaximal, characteristic, complemented
30#20283361C211yesmaximal, characteristic, complemented
31C53×#3117C211yesmaximal, characteristic, complemented
32C2×#13133265C2211yescharacteristic
33C2×#13133249C2211yescharacteristic
34C2×#13133244C2211yescharacteristic
35C2×#13133240C2211yescharacteristic
36C2×SD16×D53C2211yescharacteristic
37#16811253C2211yescharacteristic
38#16811246C2211yescharacteristic
39#16811242C2211yescharacteristic
40#16811239—21no—
41#16811229C2211yescharacteristic
42#16811226C2211yescharacteristic
43#16811225—21no—
44#16811212—21no—
45#16811209—21no—
46#16811203C2211yescharacteristic
47#16811191C2211yescharacteristic
48#16811189C2211yescharacteristic
49#16811173C2211yescharacteristic
50#16811170—21no—
51#16811170C2211yescharacteristic
52#16811160C2211yescharacteristic
53#16811151—21no—
54#16811135—21no—
55#16811132—21no—
56#16811105—21no—
57#16811105C2211yescharacteristic
58#16811105C2211yescharacteristic, complemented
59#16811104—21no—
60#16811104—21no—
61#16811104C2211yescharacteristic
62#16811104C2211yescharacteristic, complemented
63#16811101C2211yescharacteristic, complemented
64#16811099—21no—
65#16811099C2211yescharacteristic
66#16811099C2211yescharacteristic, complemented
67C4×#11719949—21no—
68C4×#11719949C2211yescharacteristic
69C4×#11719949C2211yescharacteristic
70C4×#11719949C2211yescharacteristic, complemented
71C4×#11719945—21no—
72C4×#11719945—21no—
73C4×#11719945C2211yescharacteristic
74C4×#11719945C2211yescharacteristic, complemented
75C4×Q8×D53—21no—
76C4×Q8×D53C2211yescharacteristic
77C4×Q8×D53C2211yescharacteristic, complemented
78C4×D4×D53C2211yescharacteristic
79#16810962C2211yescharacteristic, complemented
80#16810961C2211yescharacteristic, complemented
81#16810957C2211yescharacteristic, complemented
82#16810950C2211yescharacteristic, complemented
83#16810949C2211yescharacteristic
84#16810948C2211yescharacteristic
85#16810948C2211yescharacteristic, complemented
86#16810946C2211yescharacteristic
87#16810944C2211yescharacteristic
88#16810943C2211yescharacteristic
89#16810938C2211yescharacteristic, complemented
90#16810936C2211yescharacteristic
91#16810936C2211yescharacteristic, complemented
92#16810935C2211yescharacteristic
93#16810933C2211yescharacteristic, complemented
94#16810932C2211yescharacteristic, complemented
95#16810928C2211yescharacteristic, complemented
96#16810927C2211yescharacteristic, complemented
97#16810922C2211yescharacteristic, complemented
98#16810920C2211yescharacteristic, complemented
99#16810918C2211yescharacteristic, complemented
100#16810918C2211yescharacteristic, complemented
101#16810917C2211yescharacteristic, complemented
102#16810916C2211yescharacteristic, complemented
103#16810909C2211yescharacteristic, complemented
104#16810906C2211yescharacteristic, complemented
105#16810904C2211yescharacteristic, complemented
106#16810902C2211yescharacteristic, complemented
107#16810848C2211yescharacteristic
108#16810847C2211yescharacteristic
109#16810847C2211yescharacteristic
110#16810842C2211yescharacteristic
111#16810841C2211yescharacteristic
112#16810835C2211yescharacteristic
113#16810824C2211yescharacteristic
114#16810823C2211yescharacteristic
115#16810823C2211yescharacteristic
116#16810822C2211yescharacteristic
117#16810821C2211yescharacteristic
118#16810821C2211yescharacteristic
119#16810819C2211yescharacteristic
120#16810817C2211yescharacteristic
121#16810784C2211yescharacteristic, complemented
122#16810783C2211yescharacteristic, complemented
123#16810777C2211yescharacteristic, complemented
124#16810771C2211yescharacteristic
125#16810771C2211yescharacteristic, complemented
126#16810770C2211yescharacteristic
127#16810770C2211yescharacteristic, complemented
128#16810767C2211yescharacteristic
129#16810766C2211yescharacteristic
130#16810763C2211yescharacteristic
131#16810763C2211yescharacteristic, complemented
132#16810762C2211yescharacteristic
133#16810762C2211yescharacteristic, complemented
134#16810760C2211yescharacteristic
135#16810736C2211yescharacteristic
136#16810736C2211yescharacteristic, complemented
137#16810734C2211yescharacteristic, complemented
138#16810733C2211yescharacteristic
139#16810730C2211yescharacteristic, complemented
140#16810728C2211yescharacteristic, complemented
141#16810726C2211yescharacteristic
142#16810726C2211yescharacteristic, complemented
143#16810726C2211yescharacteristic, complemented
144#16810725C2211yescharacteristic
145#16810725C2211yescharacteristic, complemented
146#16810724C2211yescharacteristic
147#16810723C2211yescharacteristic
148#16810722C2211yescharacteristic
149#16810721C2211yescharacteristic
150#16810721C2211yescharacteristic
151#16810721C2211yescharacteristic, complemented
152#16810721C2211yescharacteristic, complemented
153#16810721C2211yescharacteristic, complemented
154#16810720C2211yescharacteristic
155Q16×Dic53C2211yescharacteristic, complemented
156#16810715C2211yescharacteristic, complemented
157SD16×Dic53C2211yescharacteristic
158#16810710C2211yescharacteristic, complemented
159#16810708C2211yescharacteristic
160#16810708C2211yescharacteristic, complemented
161#16810705C2211yescharacteristic
162#16810703C2211yescharacteristic
163#16810683C2211yescharacteristic, complemented
164#16810683C2211yescharacteristic, complemented
165#16810681C2211yescharacteristic, complemented
166#16810681C2211yescharacteristic, complemented
167#16810680C2211yescharacteristic, complemented
168#16810678C2211yescharacteristic, complemented
169#16810678C2211yescharacteristic, complemented
170#16810664C2211yescharacteristic
171#16810662C2211yescharacteristic
172#16810658C2211yescharacteristic
173#107×D53C2211yescharacteristic
174#16810648C2211yescharacteristic
175#16810648C2211yescharacteristic
176#16810630C2211yescharacteristic
177#16810626C2211yescharacteristic
178#16810623C2211yescharacteristic
179#16810623C2211yescharacteristic
180#16810618C2211yescharacteristic
181#16810618C2211yescharacteristic
182#103×D53C2211yescharacteristic
183#102×D53C2211yescharacteristic
184#16810588C2211yescharacteristic
185#16810588C2211yescharacteristic
186#16810575C2211yescharacteristic
187#97×D53C2211yescharacteristic
188C53×#529C2211yescharacteristic
189C2×C4×Q8×C53C2211yescharacteristic, complemented
190C53×#484C2211yescharacteristic, complemented
191C53×#481C2211yescharacteristic
192C53×#479C2211yescharacteristic, complemented
193C53×#479C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic
195C53×#464C2211yescharacteristic
196C53×#451C2211yescharacteristic, complemented
197C53×#448C2211yescharacteristic
198C53×#441C2211yescharacteristic, complemented
199C53×#441C2211yescharacteristic, complemented
200C53×#440C2211yescharacteristic
201C53×#440C2211yescharacteristic
202C53×#432C2211yescharacteristic, complemented
203#13133265—24no—
204#13133265—24no—
205C2×#11719949—21no—
206C2×#11719949C2311yescharacteristic
207C2×#11719949C2311yescharacteristic
208C2×#11719949C2311yescharacteristic
209C2×#11719945—21no—
210C2×#11719945—21no—
211C2×#11719945—21no—
212C2×#11719945—21no—
213C2×#11719945C2311yescharacteristic
214C2×#11719945C2311yescharacteristic
215C2×Q8×D53—21no—
216C2×Q8×D53C2311yescharacteristic
217C2×Q8×D53C2311yescharacteristic
218C2×D4×D53C2311yescharacteristic
219C22×C4×D53—21no—
220#13133249—24no—
221#13133244—24no—
222#13133240—24no—
223C2×#11719925C2311yescharacteristic
224C2×#11719913C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719923C2311yescharacteristic
227C2×#11719924C2311yescharacteristic
228C2×#11719924C2311yescharacteristic
229C2×#11719924C2311yescharacteristic
230C2×#11719924C2311yescharacteristic
231C2×#11719924C2311yescharacteristic
232SD16×D53—24no—
233C2×D424C2311yescharacteristic
234C2×D424C2311yescharacteristic
235C2×#11719922C2311yescharacteristic
236C2×#11719912C2311yescharacteristic
237C2×#11719912C2311yescharacteristic
238C2×C8×D53C2311yescharacteristic
239C2×C8×D53C2311yescharacteristic
240#13133217C2311yescharacteristic
241#13133216—21no—
242#13133216C2311yescharacteristic
243#13133214C2311yescharacteristic
244#13133213—21no—
245#13133213C2311yescharacteristic
246#13133212—21no—
247#13133212—21no—
248#13133210—21no—
249#13133208C2311yescharacteristic
250#13133207—21no—
251#13133206C2311yescharacteristic
252#13133205—21no—
253#13133203—21no—
254#13133203—21no—
255#13133203—21no—
256#13133203—21no—
257#13133202—21no—
258#13133202—21no—
259#13133202—21no—
260#13133201—21no—
261#13133201—21no—
262#13133199—21no—
263#13133199—21no—
264#13133197—21no—
265#13133197—21no—
266#13133195—21no—
267#13133195—21no—
268#13133194—21no—
269#13133193C2311yescharacteristic
270#13133192—21no—
271#13133192—21no—
272#13133192—21no—
273#13133192C2311yescharacteristic
274#13133192C2311yescharacteristic
275#13133191—21no—
276#13133191C2311yescharacteristic
277#13133191C2311yescharacteristic
278#13133190—21no—
279#13133190—21no—
280#13133190—21no—
281#13133190—21no—
282#13133190—21no—
283#13133189—21no—
284#13133188—21no—
285#13133188C2311yescharacteristic
286#13133187—21no—
287#13133187—21no—
288#13133187—21no—
289#13133185—21no—
290Q8×Dic53—21no—
291Q8×Dic53—21no—
292Q8×Dic53C2311yescharacteristic
293Q8×Dic53C2311yescharacteristic
294Q8×Dic53C2311yescharacteristic
295Q8×Dic53C2311yescharacteristic
296Q8×Dic53C2311yescharacteristic
297C4×Dic106—21no—
298C4×Dic106—21no—
299C4×Dic106—21no—
300C4×Dic106—21no—
301C4×Dic106D411yescharacteristic
302C4×Dic106D411yescharacteristic
303C4×Dic106C2311yescharacteristic
304C4×Dic106C2311yescharacteristic
305#13133182—21no—
306#13133182—21no—
307#13133182—21no—
308#13133182—21no—
309#13133182—21no—
310#13133182C2311yescharacteristic
311#13133182C2311yescharacteristic
312C4×D212—21no—
313C4×D212—21no—
314C4×D212—21no—
315C4×D212—21no—
316C4×D212—21no—
317C4×D212—21no—
318C4×D212—21no—
319C4×D212D411yescharacteristic
320C4×D212D411yescharacteristic
321C4×D212C2311yescharacteristic
322C4×D212C2311yescharacteristic
323C4×D212C2311yescharacteristic
324C4×D212C2311yescharacteristic
325D4×Dic53C2311yescharacteristic
326#13133179—21no—
327#13133179—21no—
328#13133179—21no—
329#13133179—21no—
330#13133179—21no—
331#13133179—21no—
332#13133179C2311yescharacteristic
333#13133179C2311yescharacteristic
334#13133179C2311yescharacteristic
335#13133179C2311yescharacteristic
336C4×C22⋊D53—21no—
337C4×C22⋊D53—21no—
338C4×C22⋊D53—21no—
339C4×C22⋊D53—21no—
340C4×C22⋊D53—21no—
341C4×C22⋊D53—21no—
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53D411yescharacteristic
345C4×C22⋊D53D411yescharacteristic
346C4×C22⋊D53D411yescharacteristic
347C4×C22⋊D53D411yescharacteristic
348#13133177—21no—
349#13133176—21no—
350#13133176—21no—
351#13133176C2311yescharacteristic
352#13133176C2311yescharacteristic
353#13133175—21no—
354#13133175—21no—
355#13133175—21no—
356#13133175—21no—
357#13133175—21no—
358#13133175—21no—
359#13133175C2311yescharacteristic
360#13133175C2311yescharacteristic
361#13133175C2311yescharacteristic
362#13133174—21no—
363#13133174—21no—
364#13133174—21no—
365#13133174—21no—
366#13133174—21no—
367#13133174—21no—
368#13133174C2311yescharacteristic
369#13133174C2311yescharacteristic
370C4⋊C4×D53—21no—
371C4⋊C4×D53—21no—
372C4⋊C4×D53—21no—
373C4⋊C4×D53—21no—
374C4⋊C4×D53—21no—
375C4⋊C4×D53C2311yescharacteristic
376C4⋊C4×D53C2311yescharacteristic
377C4⋊C4×D53C2311yescharacteristic
378C22⋊C4×D53—21no—
379C42×D53—21no—
380C42×D53—21no—
381C42×D53—21no—
382C42×D53—21no—
383C42×D53—21no—
384C42×D53—21no—
385C42×D53C2311yescharacteristic
386C42×D53C2311yescharacteristic
387#13133151C2311yescharacteristic
388#13133151C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133150C2311yescharacteristic
394#13133150C2311yescharacteristic
395#13133149C2311yescharacteristic
396#13133149C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133148C2311yescharacteristic
399C4⋊#88322C2311yescharacteristic
400C4⋊#88322C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429C22⋊#88322C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133128C2311yescharacteristic
436#13133128C2311yescharacteristic
437#13133127C2311yescharacteristic
438#13133127C2311yescharacteristic
439C8×Dic53C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C22×Q8×C53C2311yescharacteristic
442C2×Q16×C53C2311yescharacteristic
443C2×Q16×C53C2311yescharacteristic
444C2×SD16×C53C2311yescharacteristic
445C2×SD16×C53C2311yescharacteristic
446#126×C53—21no—
447#125×C53C2311yescharacteristic
448#124×C53C2311yescharacteristic
449#123×C53—21no—
450C22⋊Q8×C53C2311yescharacteristic
451#121×C53C2311yescharacteristic
452C4×Q8×C53—21no—
453C4×Q8×C53—21no—
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456C4×Q8×C53C2311yescharacteristic
457C4×Q8×C53C2311yescharacteristic
458C4×Q8×C53C2311yescharacteristic
459C4×D4×C53—21no—
460C4×D4×C53C2311yescharacteristic
461#117×C53—21no—
462C2×C4⋊C4×C53—21no—
463C2×C4⋊C4×C53C2311yescharacteristic
464C2×C42×C53—21no—
465C2×C42×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480C22⋊C8×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482#97×C53C2311yescharacteristic
483#97×C53C2311yescharacteristic
484C23×D53—21no—
485C2×Q8×C53—22no—
486C2×Q8×C53—22no—
487C2×Q8×C53—21no—
488C2×Q8×C53C2411yescharacteristic
489C2×Q8×C53C2411yescharacteristic
490C2×Q8×C53C2411yescharacteristic
491C2×D4×C53—21no—
492C2×D4×C53C2411yescharacteristic
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53C2×D411yescharacteristic
497C22×C4×C53C2×D411yescharacteristic
498C22×C4×C53C2411yescharacteristic
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53C2×D411yescharacteristic
507C2×C22⋊D53C2×D411yescharacteristic
508C22×Dic53—21no—
509#11719949—28no—
510#11719949—22no—
511#11719949—22no—
512#11719949—22no—
513#11719949—22no—
514#11719949—22no—
515#11719949#4114yescomplemented
516Q8×D53—28no—
517Q8×D53—22no—
518Q8×D53—22no—
519Q8×D53—22no—
520Q8×D53#4114yescomplemented
521D4×D53—22no—
522D4×D53—22no—
523#11719945—28no—
524#11719945—28no—
525#11719945—22no—
526#11719945—22no—
527#11719945—22no—
528#11719945—22no—
529#11719945—82no—
530#11719945—82no—
531C2×D212—21no—
532C2×D212—21no—
533C2×D212—21no—
534C2×D212—21no—
535C2×D212—21no—
536C2×D212—21no—
537C2×D212—21no—
538C2×D212C2×D411yescharacteristic
539C2×D212C2411yescharacteristic
540C2×D212C2411yescharacteristic
541C2×D212C2411yescharacteristic
542C2×C4×D53—21no—
543C2×C4×D53—21no—
544C2×C4×D53—21no—
545C2×C4×D53—21no—
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53—21no—
555C2×C4×D53—21no—
556C2×C4×D53—21no—
557C2×C4×D53—21no—
558C2×C4×D53—21no—
559C2×C4×D53—82no—
560C2×C4×D53C2×D411yescharacteristic
561C2×C4×D53C2×D411yescharacteristic
562C2×C4×D53C2×D411yescharacteristic
563C2×C4×D53C2×D411yescharacteristic
564C2×C4×D53C2411yescharacteristic
565C2×C4×D53C2411yescharacteristic
566C2×Dic106—21no—
567C2×Dic106—21no—
568C2×Dic106—21no—
569C2×Dic106—21no—
570C2×Dic106C2×D411yescharacteristic
571C2×Dic106C2411yescharacteristic
572Q16×C53—22no—
573Q16×C53—22no—
574SD16×C53—22no—
575SD16×C53—22no—
576C2×C8×C53C2411yescharacteristic
577C2×C8×C53C2411yescharacteristic
578C2×C8×C53C2411yescharacteristic
579C2×C8×C53C2411yescharacteristic
580C4⋊C4×C53—21no—
581C4⋊C4×C53—21no—
582C4⋊C4×C53—21no—
583C4⋊C4×C53—21no—
584C4⋊C4×C53—21no—
585C4⋊C4×C53—21no—
586C4⋊C4×C53—21no—
587C4⋊C4×C53—21no—
588C4⋊C4×C53—21no—
589C4⋊C4×C53C2411yescharacteristic
590C4⋊C4×C53C2411yescharacteristic
591C4⋊C4×C53C2411yescharacteristic
592C4⋊C4×C53C2411yescharacteristic
593C22⋊C4×C53—21no—
594C22⋊C4×C53—21no—
595C22⋊C4×C53—21no—
596C22⋊C4×C53—21no—
597C22⋊C4×C53—21no—
598C42×C53—21no—
599C42×C53—21no—
600C42×C53—21no—
601C42×C53—21no—
602C42×C53—21no—
603C42×C53C2×D411yescharacteristic
604C42×C53C2×D411yescharacteristic
605C42×C53C2411yescharacteristic
606C42×C53C2411yescharacteristic
607C22⋊Dic53—21no—
608C22⋊Dic53—21no—
609C22⋊Dic53—21no—
610C22⋊Dic53C2×D411yescharacteristic
611C22⋊Dic53C2×D411yescharacteristic
612#11719925—22no—
613#11719924—22no—
614#11719924—22no—
615#11719924—22no—
616#11719924—22no—
617#11719924—22no—
618#11719923—22no—
619#11719922—22no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921—21no—
638#11719921C2×D411yescharacteristic
639#11719921C2×D411yescharacteristic
640#11719921C2×D411yescharacteristic
641#11719921C2×D411yescharacteristic
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53—21no—
646C4⋊Dic53—21no—
647C4⋊Dic53—21no—
648C4⋊Dic53—21no—
649C4⋊Dic53C2×D411yescharacteristic
650C4⋊Dic53C2×D411yescharacteristic
651C4⋊Dic53C2411yescharacteristic
652C4⋊Dic53C2411yescharacteristic
653C4⋊Dic53C2411yescharacteristic
654C4⋊Dic53C2411yescharacteristic
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919—21no—
664#11719919—21no—
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667#11719919C2×D411yescharacteristic
668#11719919C2×D411yescharacteristic
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53—21no—
679C4×Dic53—21no—
680C4×Dic53—21no—
681C4×Dic53—21no—
682C4×Dic53C2×D411yescharacteristic
683C4×Dic53C2×D411yescharacteristic
684C4×Dic53C2×D411yescharacteristic
685C4×Dic53C2×D411yescharacteristic
686C4×Dic53C2411yescharacteristic
687C4×Dic53C2411yescharacteristic
688C2×#88322C2411yescharacteristic
689C2×#88322C2411yescharacteristic
690C2×#88322C2411yescharacteristic
691C2×#88322C2411yescharacteristic
692D424—22no—
693D424—22no—
694#11719913—22no—
695#11719913—22no—
696#11719912—22no—
697#11719912—22no—
698C8×D53—22no—
699C8×D53—22no—
700C23×C53—21no—
701C23×C53C22×D411yescharacteristic
702C22×D53—21no—
703C22×D53—21no—
704C22×D53—21no—
705C22×D53—42no—
706C22×D53—81no—
707C22×D53—81no—
708C22×D53C22×D411yescharacteristic
709C22×D53C22×D411yescharacteristic
710Q8×C53—24no—
711Q8×C53—21no—
712Q8×C53—21no—
713Q8×C53—21no—
714Q8×C53—21no—
715Q8×C53C2×#4112yes—
716Q8×C53C2×#4112yes—
717D4×C53—21no—
718D4×C53—21no—
719D4×C53—81no—
720C2×C4×C53—24no—
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—41no—
731C2×C4×C53—41no—
732C2×C4×C53—42no—
733C2×C4×C53—81no—
734C2×C4×C53C22×D411yescharacteristic
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C22×D411yescharacteristic
737C2×C4×C53C22×D411yescharacteristic
738C2×C4×C53C22×D411yescharacteristic
739C2×C4×C53C2511yescharacteristic
740C22⋊D53—24no—
741C22⋊D53—22no—
742C22⋊D53—22no—
743C22⋊D53—42no—
744C22⋊D53—81no—
745C22⋊D53—81no—
746C22⋊D53—81no—
747C22⋊D53—81no—
748C22⋊D53—81no—
749C2×Dic53—21no—
750C2×Dic53—21no—
751C2×Dic53—21no—
752C2×Dic53—21no—
753C2×Dic53—21no—
754C2×Dic53—81no—
755C2×Dic53C22×D411yescharacteristic
756C2×Dic53C22×D411yescharacteristic
757C2×Dic53C22×D411yescharacteristic
758C2×Dic53C22×D411yescharacteristic
759C2×Dic53C22×D411yescharacteristic
760C2×Dic53C22×D411yescharacteristic
761D212—24no—
762D212—24no—
763D212—22no—
764D212—21no—
765D212—21no—
766D212—21no—
767D212—21no—
768D212—21no—
769D212—42no—
770D212—81no—
771D212—81no—
772D212—81no—
773D212—81no—
774D212C2×#4112yes—
775C4×D53—24no—
776C4×D53—24no—
777C4×D53—24no—
778C4×D53—24no—
779C4×D53—21no—
780C4×D53—21no—
781C4×D53—24no—
782C4×D53—41no—
783C4×D53—41no—
784C4×D53—41no—
785C4×D53—41no—
786C4×D53—42no—
787C4×D53—42no—
788C4×D53—42no—
789C4×D53—42no—
790C4×D53—81no—
791C4×D53—81no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796C4×D53—81no—
797C4×D53—81no—
798C4×D53C2×#4112yes—
799C4×D53C2×#4112yes—
800Dic106—24no—
801Dic106—21no—
802Dic106—24no—
803Dic106—22no—
804Dic106—81no—
805Dic106—81no—
806Dic106C2×#4112yes—
807C8×C53—21no—
808C8×C53—21no—
809C8×C53—21no—
810C8×C53—21no—
811#88322—21no—
812#88322—21no—
813#88322—21no—
814#88322—21no—
815#60576—531nomaximal, Sylow
816C22×C53—21no—
817C22×C53—21no—
818C22×C53—21no—
819C22×C53—41no—
820C22×C53—41no—
821C22×C53—41no—
822C22×C53C23×D411yescharacteristic
823C2×D53—21no—
824C2×D53—21no—
825C2×D53—21no—
826C2×D53—21no—
827C2×D53—21no—
828C2×D53—22no—
829C2×D53—41no—
830C2×D53—41no—
831C2×D53—41no—
832C2×D53—41no—
833C2×D53—41no—
834C2×D53—41no—
835C2×D53—41no—
836C2×D53—41no—
837C2×D53—84no—
838C2×D53#52512yes—
839C4×C53—21no—
840C4×C53—21no—
841C4×C53—21no—
842C4×C53—21no—
843C4×C53—22no—
844C4×C53—22no—
845C4×C53—21no—
846C4×C53—41no—
847C4×C53—41no—
848C4×C53—41no—
849C4×C53—41no—
850C4×C53—41no—
851C4×C53C22×#4111yescharacteristic
852C4×C53C22×#4111yescharacteristic
853Dic53—21no—
854Dic53—21no—
855Dic53—21no—
856Dic53—21no—
857Dic53—21no—
858Dic53—22no—
859Dic53—41no—
860Dic53—41no—
861Dic53—41no—
862Dic53—41no—
863Dic53#52512yes—
864#3460—531no—
865C4×2−1+4—531no—
866#3126—531no—
867#3126—531no—
868#3124—531no—
869#3124—531no—
870#3121—531no—
871#3121—531no—
872#3119—531no—
873#3119—531no—
874#3117—531no—
875#3117D5311yescharacteristic, complemented
876#3115—531no—
877#3115—531no—
878#3112—531no—
879#3112—531no—
880#3111—531no—
881#3111—531no—
882#3098—531no—
883#3096—531no—
884#3083—531no—
885#3082—531no—
886#3045—531no—
887#3043—531no—
888#3013—531no—
889#3010—531no—
890C4×#137—531no—
891C4×AGL(1,ℤ/8)—531no—
892#2943—531no—
893C2×#440—531no—
894#2923—531no—
895C2×C53—41no—
896C2×C53—81no—
897C2×C53C2×#52511yescharacteristic
898C2×C53#358511yescharacteristic
899C2×C53#358611yescharacteristic
900D53—22no—
901D53—41no—
902D53—42no—
903D53—81no—
904D53—81no—
905C2×2−1+4—531no—
906C2×#137—531no—
907C2×AGL(1,ℤ/8)—531no—
908C2×#135—531no—
909C22×SD16—531no—
910#544—531no—
911#542—531no—
912#542—531no—
913#542—1061no—
914#540—531no—
915#540—531no—
916#540—1061no—
917#538—1061no—
918#538—1061no—
919#537—531no—
920#535—531no—
921#535—531no—
922#532—531no—
923#532—531no—
924#532—1061no—
925#529—531no—
926#529—1061no—
927#529C2×D5311yescharacteristic
928#525—1061no—
929#525—1061no—
930#520—531no—
931#520—531no—
932#520—531no—
933#520—531no—
934#520—1061no—
935#520—1061no—
936#520—1061no—
937#519—531no—
938#519—531no—
939#519—531no—
940#519—1061no—
941C4×#41—531no—
942C4×#41—531no—
943C4×#41—531no—
944C4×#41—531no—
945C4×#41—531no—
946C4×#41—1061no—
947C4×#41—1061no—
948C4×#41—1061no—
949C2×C4×Q8—531no—
950C2×C4×Q8—531no—
951C2×C4×Q8—1061no—
952C2×C4×Q8C2×D5311yescharacteristic, complemented
953C2×C4×D4—531no—
954#485—531no—
955#485—531no—
956#484—531no—
957#484C2×D5311yescharacteristic, complemented
958#482—531no—
959#482—531no—
960#482—531no—
961#482—531no—
962#482—531no—
963#482—531no—
964#481—531no—
965#481C2×D5311yescharacteristic
966#480—531no—
967#480—531no—
968#480—531no—
969#480—531no—
970#479—531no—
971#479—531no—
972#479—531no—
973#479—531no—
974#479C2×D5311yescharacteristic, complemented
975#479C2×D5311yescharacteristic, complemented
976#478—531no—
977#478—531no—
978#477—531no—
979#477—531no—
980#477—531no—
981#477—531no—
982#475—531no—
983#475—531no—
984#474—531no—
985#474—531no—
986#464—531no—
987#464—531no—
988#464—531no—
989#464—531no—
990#464C2×D5311yescharacteristic
991#464C2×D5311yescharacteristic
992#463—531no—
993#463—531no—
994#460—531no—
995#460—531no—
996#460—531no—
997#460—531no—
998#460—531no—
999#460—531no—
1000#459—531no—
1001#459—531no—
1002#452—531no—
1003#452—531no—
1004#451—531no—
1005#451C2×D5311yescharacteristic, complemented
1006#449—531no—
1007#449—531no—
1008#449—531no—
1009#449—531no—
1010#449—531no—
1011#449—531no—
1012#448—531no—
1013#448—531no—
1014#448—531no—
1015#448—531no—
1016#448—531no—
1017#448C2×D5311yescharacteristic
1018#442—531no—
1019#442—531no—
1020#442—531no—
1021#442—531no—
1022#441—531no—
1023#441—531no—
1024#441C2×D5311yescharacteristic, complemented
1025#441C2×D5311yescharacteristic, complemented
1026#440—531no—
1027#440—531no—
1028#440—531no—
1029#440—531no—
1030#440—531no—
1031#440—531no—
1032#440—531no—
1033#440—531no—
1034#440—531no—
1035#440—531no—
1036#440—531no—
1037#440—531no—
1038#440—531no—
1039#440—531no—
1040#440C2×D5311yescharacteristic
1041#440C2×D5311yescharacteristic
1042C4×Q16—531no—
1043C4×Q16—531no—
1044C4×SD16—531no—
1045C4×SD16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×D8—531no—
1049C4×D8—531no—
1050#433—531no—
1051#433—531no—
1052#433—531no—
1053#433—531no—
1054#432—531no—
1055#432—531no—
1056#432—531no—
1057#432C2×D5311yescharacteristic, complemented
1058#428—531no—
1059#428—531no—
1060#427—531no—
1061C2×#107—531no—
1062#424—531no—
1063#424—531no—
1064#419—531no—
1065#418—531no—
1066#417—531no—
1067#417—531no—
1068#416—531no—
1069#416—531no—
1070C2×#103—531no—
1071C2×#102—531no—
1072#408—531no—
1073#408—531no—
1074C4×M16—531no—
1075C2×#97—531no—
1076C53#6057611yescharacteristic, complemented, Sylow
10772−1+4—1064no—
10782−1+4—1064no—
1079C2×#41—531no—
1080C2×#41—531no—
1081C2×#41—531no—
1082C2×#41—531no—
1083C2×#41—531no—
1084C2×#41—1061no—
1085C2×#41—1061no—
1086C2×#41—1061no—
1087C2×#41—1061no—
1088C2×#41—1061no—
1089C22×Q8—531no—
1090C22×Q8—531no—
1091C22×Q8—1061no—
1092C22×Q8C22×D5311yescharacteristic
1093C22×D4—531no—
1094C23×C4—1061no—
1095#137—1064no—
1096AGL(1,ℤ/8)—1064no—
1097#135—1064no—
1098C2×Q16—531no—
1099C2×Q16C22×D5311yescharacteristic
1100C2×Q16C22×D5311yescharacteristic
1101C2×SD16—531no—
1102C2×SD16—531no—
1103C2×SD16—531no—
1104C2×SD16—531no—
1105C2×SD16—531no—
1106C2×SD16—531no—
1107C2×SD16—531no—
1108C2×SD16—531no—
1109C2×SD16—1064no—
1110C2×SD16C22×D5311yescharacteristic
1111C2×SD16C22×D5311yescharacteristic
1112C2×D8—531no—
1113C2×D8—531no—
1114C2×D8—531no—
1115C2×M16—531no—
1116C2×M16—531no—
1117C22×C8—531no—
1118C22×C8—531no—
1119C4⋊Q8—531no—
1120C4⋊Q8—531no—
1121C4⋊Q8—1061no—
1122#127—531no—
1123#127—531no—
1124#127—1061no—
1125#126—21no—
1126#126—1061no—
1127#126—1061no—
1128#126—1061no—
1129#125—531no—
1130#125—1061no—
1131#125C22×D5311yescharacteristic
1132#124—531no—
1133#124—1061no—
1134#124—1061no—
1135#124—1061no—
1136#124—1061no—
1137#124—1061no—
1138#124C22×D5311yescharacteristic
1139#123—21no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147C22⋊Q8—531no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8C22×D5311yescharacteristic
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—531no—
1158#121—531no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121—1061no—
1167#121—1061no—
1168#121—1061no—
1169#121—1061no—
1170#121C22×D5311yescharacteristic
1171#120—1061no—
1172#120—1061no—
1173#120—1061no—
1174#120—1061no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8—1061no—
1191C4×Q8—1061no—
1192C4×Q8—1061no—
1193C4×Q8—1061no—
1194C4×Q8—1061no—
1195C4×Q8—1061no—
1196C4×Q8—1061no—
1197C4×Q8—1061no—
1198C4×Q8—1061no—
1199C4×Q8C22×D5311yescharacteristic
1200C4×Q8C22×D5311yescharacteristic
1201C4×Q8C22×D5311yescharacteristic
1202C4×Q8C22×D5311yescharacteristic
1203C4×Q8C22×D5311yescharacteristic
1204C4×D4—21no—
1205C4×D4—531no—
1206C4×D4—531no—
1207C4×D4—531no—
1208C4×D4—531no—
1209C4×D4—531no—
1210C4×D4—531no—
1211C4×D4—531no—
1212C4×D4—531no—
1213C4×D4—531no—
1214C4×D4—531no—
1215C4×D4—531no—
1216C4×D4—531no—
1217C4×D4—531no—
1218C4×D4—531no—
1219C4×D4—531no—
1220C4×D4—1061no—
1221C4×D4—1061no—
1222C4×D4—1061no—
1223C4×D4—1061no—
1224C4×D4—1061no—
1225C4×D4—1061no—
1226C4×D4—1061no—
1227C4×D4—1061no—
1228C4×D4—1061no—
1229C4×D4—1061no—
1230C4×D4—1061no—
1231C4×D4—1061no—
1232C4×D4—1061no—
1233C4×D4—1061no—
1234C4×D4—1061no—
1235C4×D4—1061no—
1236C4×D4—1061no—
1237C4×D4—1061no—
1238C4×D4—1061no—
1239C4×D4—1061no—
1240C4×D4—1061no—
1241C4×D4—1061no—
1242C4×D4C22×D5311yescharacteristic
1243#117—21no—
1244#117—531no—
1245#117—531no—
1246#117—531no—
1247#117—531no—
1248#117—531no—
1249#117—531no—
1250#117—531no—
1251#117—1061no—
1252#117—1061no—
1253#117—1061no—
1254#117—1061no—
1255#117—1061no—
1256#117—1061no—
1257#117—1061no—
1258#117—1061no—
1259#117—1061no—
1260#117—1061no—
1261#117—1061no—
1262#117—1061no—
1263#117—1061no—
1264#117—1061no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—531no—
1267C2×C4⋊C4—531no—
1268C2×C4⋊C4—531no—
1269C2×C4⋊C4—1061no—
1270C2×C4⋊C4—1061no—
1271C2×C4⋊C4—1061no—
1272C2×C4⋊C4—1061no—
1273C2×C4⋊C4—1061no—
1274C2×C4⋊C4C22×D5311yescharacteristic
1275C2×C22⋊C4—1061no—
1276C2×C42—21no—
1277C2×C42—531no—
1278C2×C42—531no—
1279C2×C42—1061no—
1280C2×C42—1061no—
1281C2×C42—1061no—
1282C2×C42—1061no—
1283C2×C42—1061no—
1284C2×C42—1061no—
1285C2×C42C22×D5311yescharacteristic
1286#107—531no—
1287#107—531no—
1288#107—531no—
1289#107—531no—
1290#107—531no—
1291#107—531no—
1292#107—531no—
1293#107—531no—
1294#107C22×D5311yescharacteristic
1295#107C22×D5311yescharacteristic
1296#106—531no—
1297#106—531no—
1298#106—531no—
1299#106—531no—
1300#106C22×D5311yescharacteristic
1301#106C22×D5311yescharacteristic
1302C4⋊C8—531no—
1303C4⋊C8—531no—
1304C4⋊C8—531no—
1305C4⋊C8—531no—
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8C22×D5311yescharacteristic
1309C4⋊C8C22×D5311yescharacteristic
1310#103—531no—
1311#103—531no—
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103—531no—
1319#103—531no—
1320#103C22×D5311yescharacteristic
1321#103C22×D5311yescharacteristic
1322#103C22×D5311yescharacteristic
1323#103C22×D5311yescharacteristic
1324#103C22×D5311yescharacteristic
1325#103C22×D5311yescharacteristic
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#102—531no—
1338#102—531no—
1339#102—531no—
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342C22⋊C8—531no—
1343C22⋊C8—531no—
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—
1354#97C22×D5311yescharacteristic
1355#97C22×D5311yescharacteristic
1356C4×C8—531no—
1357C4×C8—531no—
1358C24—1061no—
1359#41—534no—
1360#41—1062no—
1361#41—1062no—
1362#41—1062no—
1363#41—1062no—
1364#41—1068no—
1365#41—1068no—
1366#41—1062no—
1367#41—1062no—
1368#41—1062no—
1369#41—1062no—
1370#41—1068no—
1371#41—1062no—
1372#41—4242no—
1373#41—4242no—
1374C2×Q8—22no—
1375C2×Q8—22no—
1376C2×Q8—21no—
1377C2×Q8—531no—
1378C2×Q8—534no—
1379C2×Q8—531no—
1380C2×Q8—1061no—
1381C2×Q8—1061no—
1382C2×Q8—1061no—
1383C2×Q8—1062no—
1384C2×Q8—1062no—
1385C2×Q8—1068no—
1386C2×Q8—1062no—
1387C2×Q8—1061no—
1388C2×Q8C23×D5311yescharacteristic
1389C2×Q8C23×D5311yescharacteristic
1390C2×Q8C23×D5311yescharacteristic
1391C2×D4—21no—
1392C2×D4—531no—
1393C2×D4—531no—
1394C2×D4—531no—
1395C2×D4—531no—
1396C2×D4—531no—
1397C2×D4—531no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1062no—
1404C2×D4—1062no—
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×D4C23×D5311yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—531no—
1419C22×C4—531no—
1420C22×C4—531no—
1421C22×C4—531no—
1422C22×C4—531no—
1423C22×C4—531no—
1424C22×C4—1061no—
1425C22×C4—1061no—
1426C22×C4—1061no—
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—4242no—
1443C22×C4D4×D5311yescharacteristic
1444C22×C4D4×D5311yescharacteristic
1445C22×C4C23×D5311yescharacteristic
1446Q16—22no—
1447Q16—22no—
1448Q16—1062no—
1449SD16—22no—
1450SD16—22no—
1451SD16—1062no—
1452SD16—1062no—
1453SD16—1062no—
1454SD16—1062no—
1455SD16—1062no—
1456SD16—1062no—
1457SD16—1062no—
1458SD16—1062no—
1459D8—1062no—
1460D8—1062no—
1461D8—1062no—
1462M16—1062no—
1463M16—1062no—
1464C2×C8—531no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8—1062no—
1469C2×C8—1062no—
1470C2×C8C23×D5311yescharacteristic
1471C2×C8C23×D5311yescharacteristic
1472C2×C8C23×D5311yescharacteristic
1473C2×C8C23×D5311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
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—531no—
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⋊C4—1061no—
1507C4⋊C4—1061no—
1508C4⋊C4—1061no—
1509C4⋊C4—1061no—
1510C4⋊C4C23×D5311yescharacteristic
1511C4⋊C4C23×D5311yescharacteristic
1512C4⋊C4C23×D5311yescharacteristic
1513C4⋊C4C23×D5311yescharacteristic
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—531no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
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⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—1061no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—531no—
1552C42—531no—
1553C42—531no—
1554C42—531no—
1555C42—531no—
1556C42—531no—
1557C42—1061no—
1558C42—1061no—
1559C42—1061no—
1560C42—1061no—
1561C42—1061no—
1562C42—1061no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42—1061no—
1570C42D4×D5311yescharacteristic
1571C42D4×D5311yescharacteristic
1572C42C23×D5311yescharacteristic
1573C42C23×D5311yescharacteristic
1574C23—21no—
1575C23—531no—
1576C23—531no—
1577C23—1061no—
1578C23—1061no—
1579C23—1061no—
1580C23—4241no—
1581C23—4241no—
1582C23—2122no—
1583C23C2×D4×D5311yescharacteristic
1584Q8—24no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—532no—
1590Q8—1064no—
1591Q8—1062no—
1592Q8—1064no—
1593Q8—1061no—
1594Q8—4241no—
1595Q8—4241no—
1596Q8#41×D5312yes—
1597Q8#41×D5312yes—
1598D4—21no—
1599D4—21no—
1600D4—81no—
1601D4—532no—
1602D4—1062no—
1603D4—1064no—
1604D4—1064no—
1605D4—1062no—
1606D4—1062no—
1607D4—1064no—
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—2122no—
1623D4—2122no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—42no—
1637C2×C4—81no—
1638C2×C4—531no—
1639C2×C4—532no—
1640C2×C4—532no—
1641C2×C4—531no—
1642C2×C4—531no—
1643C2×C4—531no—
1644C2×C4—531no—
1645C2×C4—531no—
1646C2×C4—1064no—
1647C2×C4—1064no—
1648C2×C4—1064no—
1649C2×C4—1064no—
1650C2×C4—1064no—
1651C2×C4—1061no—
1652C2×C4—1061no—
1653C2×C4—1061no—
1654C2×C4—1061no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—4241no—
1659C2×C4—4241no—
1660C2×C4—4241no—
1661C2×C4—4241no—
1662C2×C4—4241no—
1663C2×C4—4241no—
1664C2×C4—4241no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—2121no—
1668C2×C4—2121no—
1669C2×C4—2121no—
1670C2×C4—2121no—
1671C2×C4—2122no—
1672C2×C4—2122no—
1673C2×C4—2122no—
1674C2×C4—2122no—
1675C2×C4C2×D4×D5311yescharacteristic
1676C2×C4C2×D4×D5311yescharacteristic
1677C2×C4C2×D4×D5311yescharacteristic
1678C2×C4C2×D4×D5311yescharacteristic
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C24×D5311yescharacteristic
1681C8—21no—
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—1061no—
1686C8—1061no—
1687C8—1061no—
1688C8—1061no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—532no—
1696C22—1061no—
1697C22—1061no—
1698C22—1062no—
1699C22—1061no—
1700C22—1061no—
1701C22—1061no—
1702C22—4244no—
1703C22—2121no—
1704C22—2121no—
1705C22—2121no—
1706C22—2121no—
1707C22—2121no—
1708C22—2121no—
1709C22—2121no—
1710C22—2121no—
1711C22C22×D4×D5311yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—532no—
1725C4—1061no—
1726C4—1062no—
1727C4—1061no—
1728C4—1061no—
1729C4—1061no—
1730C4—1061no—
1731C4—2121no—
1732C4—2121no—
1733C4—2121no—
1734C4—2121no—
1735C4C2×#41×D5311yescharacteristic
1736C4C2×#41×D5311yescharacteristic
1737C2—41no—
1738C2—81no—
1739C2—1062no—
1740C2—4241no—
1741C2—4241no—
1742C2—2121no—
1743C2—2122no—
1744C2#525×D5311yescharacteristic
1745C2#2028949211yescharacteristic
1746C2#2028949811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3117C2
socleC22×C53C23×D4
hypercenter#3117D53
hypocenterC53#60576
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3117

Complements

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

NH ≅ G/Ntype
1. #20288136C2semidirect
2. C4×#13133265C2semidirect
3. #20285008C2semidirect
4. #20285000C2semidirect
5. #20284980C2semidirect
6. #20284976C2semidirect
7. #20284945C2semidirect
8. #20284941C2semidirect
9. #20284921C2semidirect
10. #20284909C2semidirect
11. #20284890C2semidirect
12. #20284867C2semidirect
13. #20284864C2semidirect
14. #20284837C2semidirect
15. #20284835C2semidirect
16. #20284830C2semidirect
17. #20284818C2semidirect
18. #20284694C2semidirect
19. #20284672C2semidirect
20. #20284569C2semidirect
21. #20284554C2semidirect
22. #20284257C2semidirect
23. #20284234C2semidirect
24. #20284031C2semidirect
25. #20283996C2semidirect
26. #20283531C2semidirect
27. #20283520C2semidirect
28. #20283514C2semidirect
29. #440×D53C2semidirect
30. #20283361C2semidirect
31. C53×#3117C2semidirect
58. #16811105C22semidirect
62. #16811104C22semidirect
63. #16811101C22semidirect
66. #16811099C22semidirect
70. C4×#11719949C22semidirect
74. C4×#11719945C22semidirect
77. C4×Q8×D53C22semidirect
79. #16810962C22semidirect
80. #16810961C22semidirect
81. #16810957C22semidirect
82. #16810950C22semidirect
85. #16810948C22semidirect
89. #16810938C22semidirect
91. #16810936C22semidirect
93. #16810933C22semidirect
94. #16810932C22semidirect
95. #16810928C22semidirect
96. #16810927C22semidirect
97. #16810922C22semidirect
98. #16810920C22semidirect
99. #16810918C22semidirect
100. #16810918C22semidirect
101. #16810917C22semidirect
102. #16810916C22semidirect
103. #16810909C22semidirect
104. #16810906C22semidirect
105. #16810904C22semidirect
106. #16810902C22semidirect
121. #16810784C22semidirect
122. #16810783C22semidirect
123. #16810777C22semidirect
125. #16810771C22semidirect
127. #16810770C22semidirect
131. #16810763C22semidirect
133. #16810762C22semidirect
136. #16810736C22semidirect
137. #16810734C22semidirect
139. #16810730C22semidirect
140. #16810728C22semidirect
142. #16810726C22semidirect
143. #16810726C22semidirect
145. #16810725C22semidirect
151. #16810721C22semidirect
152. #16810721C22semidirect
153. #16810721C22semidirect
155. Q16×Dic53C22semidirect
156. #16810715C22semidirect
158. #16810710C22semidirect
160. #16810708C22semidirect
163. #16810683C22semidirect
164. #16810683C22semidirect
165. #16810681C22semidirect
166. #16810681C22semidirect
167. #16810680C22semidirect
168. #16810678C22semidirect
169. #16810678C22semidirect
189. C2×C4×Q8×C53C22semidirect
190. C53×#484C22semidirect
192. C53×#479C22semidirect
193. C53×#479C22semidirect
196. C53×#451C22semidirect
198. C53×#441C22semidirect
199. C53×#441C22semidirect
202. C53×#432C22semidirect
515. #11719949#41semidirect
520. Q8×D53#41semidirect
875. #3117D53semidirect
952. C2×C4×Q8C2×D53semidirect
957. #484C2×D53semidirect
974. #479C2×D53semidirect
975. #479C2×D53semidirect
1005. #451C2×D53semidirect
1024. #441C2×D53semidirect
1025. #441C2×D53semidirect
1057. #432C2×D53semidirect
1076. C53#60576semidirect

Maximal subgroups

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

subgroupindex
#202881362
C4×#131332652
#202850082
#202850002
#202849802
#202849762
#202849452
#202849412
#202849212
#202849092
#202848902
#202848672
#202848642
#202848372
#202848352
#202848302
#202848182
#202846942
#202846722
#202845692
#202845542
#202842572
#202842342
#202840312
#202839962
#202835312
#202835202
#202835142
#440×D532
#202833612
C53×#31172
#6057653