Finite Group Databasebeta

← #28281308

Subgroups — #28281308

Order 13568.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289346C211yesmaximal, characteristic, complemented
2#20288640C211yesmaximal, characteristic, complemented
3#20287668C211yesmaximal, characteristic, complemented
4#20287591C211yesmaximal, characteristic, complemented
5#20287476C211yesmaximal, characteristic, complemented
6#20287380C211yesmaximal, characteristic, complemented
7#20287308C211yesmaximal, characteristic, complemented
8#20287281C211yesmaximal, characteristic, complemented
9#20287277C211yesmaximal, characteristic, complemented
10#20287239C211yesmaximal, characteristic, complemented
11#20287150C211yesmaximal, characteristic, complemented
12#20287110C211yesmaximal, characteristic, complemented
13#20286935C211yesmaximal, characteristic, complemented
14#20286912C211yesmaximal, characteristic, complemented
15#20286872C211yesmaximal, characteristic, complemented
16#20286856C211yesmaximal, characteristic, complemented
17#20286554C211yesmaximal, characteristic, complemented
18#20286172C211yesmaximal, characteristic, complemented
19#20286124C211yesmaximal, characteristic, complemented
20#20286112C211yesmaximal, characteristic, complemented
21#20286011C211yesmaximal, characteristic, complemented
22#20285961C211yesmaximal, characteristic, complemented
23#20285891C211yesmaximal, characteristic, complemented
24#20284988C211yesmaximal, characteristic, complemented
25#20284900C211yesmaximal, characteristic, complemented
26#20284763C211yesmaximal, characteristic, complemented
27#20284561C211yesmaximal, characteristic, complemented
28#20284548C211yesmaximal, characteristic, complemented
29#20284509C211yesmaximal, characteristic, complemented
30#20283861C211yesmaximal, characteristic, complemented
31C53×#3324C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811367—21no—
34#16811359C2211yescharacteristic
35#16811349C2211yescharacteristic, complemented
36#16811346—21no—
37#16811336C2211yescharacteristic, complemented
38#16811334C2211yescharacteristic, complemented
39#16811332C2211yescharacteristic
40#16811320C2211yescharacteristic
41#16811319C2211yescharacteristic
42#16811317C2211yescharacteristic, complemented
43#16811316—21no—
44#16811315C2211yescharacteristic, complemented
45#16811313C2211yescharacteristic
46#16811309—21no—
47#16811307C2211yescharacteristic, complemented
48#16811304—21no—
49#16811304—21no—
50#16811273C2211yescharacteristic
51#16811267—21no—
52#16811267C2211yescharacteristic
53#16811267C2211yescharacteristic
54#16811251C2211yescharacteristic, complemented
55#16811250C2211yescharacteristic, complemented
56#16811246C2211yescharacteristic, complemented
57#16811245C2211yescharacteristic, complemented
58#16811240C2211yescharacteristic
59#16811239—21no—
60#16811237—21no—
61#16811231—21no—
62#16811227C2211yescharacteristic
63#16811218—21no—
64#16811214—21no—
65#16811208—21no—
66#16811176C2211yescharacteristic, complemented
67#16811159C2211yescharacteristic, complemented
68#16811154C2211yescharacteristic
69#16811153C2211yescharacteristic
70#16811129—21no—
71C2×#13133198—21no—
72#16811102C2211yescharacteristic
73#16811098C2211yescharacteristic
74C2×D4×Dic53C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811029C2211yescharacteristic, complemented
77#16811025C2211yescharacteristic, complemented
78#16811024C2211yescharacteristic, complemented
79#16811023C2211yescharacteristic, complemented
80#16811020C2211yescharacteristic, complemented
81#16810987C2211yescharacteristic
82#16810981C2211yescharacteristic, complemented
83#16810976C2211yescharacteristic, complemented
84#16810976C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810965C2211yescharacteristic, complemented
87#16810964C2211yescharacteristic, complemented
88#16810964C2211yescharacteristic, complemented
89#16810961C2211yescharacteristic, complemented
90#16810956C2211yescharacteristic, complemented
91#16810954C2211yescharacteristic, complemented
92#16810952C2211yescharacteristic, complemented
93#16810948C2211yescharacteristic, complemented
94#16810946C2211yescharacteristic, complemented
95#16810945C2211yescharacteristic, complemented
96#16810944C2211yescharacteristic
97#16810943C2211yescharacteristic, complemented
98#16810942C2211yescharacteristic, complemented
99#16810940C2211yescharacteristic, complemented
100#16810939C2211yescharacteristic
101#16810935C2211yescharacteristic, complemented
102#16810932C2211yescharacteristic, complemented
103#16810931C2211yescharacteristic, complemented
104#16810930C2211yescharacteristic, complemented
105#16810929C2211yescharacteristic, complemented
106#16810926C2211yescharacteristic, complemented
107#16810925C2211yescharacteristic
108#16810925C2211yescharacteristic
109#16810925C2211yescharacteristic, complemented
110#16810925C2211yescharacteristic, complemented
111#16810925C2211yescharacteristic, complemented
112#16810924C2211yescharacteristic, complemented
113#16810923C2211yescharacteristic
114#16810921C2211yescharacteristic
115#16810921C2211yescharacteristic
116#16810921C2211yescharacteristic, complemented
117#16810921C2211yescharacteristic, complemented
118#16810917C2211yescharacteristic, complemented
119#16810916C2211yescharacteristic, complemented
120#16810915C2211yescharacteristic, complemented
121#16810911C2211yescharacteristic
122#16810911C2211yescharacteristic, complemented
123#16810911C2211yescharacteristic, complemented
124#16810911C2211yescharacteristic, complemented
125#16810907C2211yescharacteristic, complemented
126#16810902C2211yescharacteristic, complemented
127#16810901C2211yescharacteristic
128#16810901C2211yescharacteristic
129#16810901C2211yescharacteristic, complemented
130#16810901C2211yescharacteristic, complemented
131#16810879C2211yescharacteristic, complemented
132#16810875C2211yescharacteristic, complemented
133#16810874C2211yescharacteristic
134#16810869C2211yescharacteristic, complemented
135#16810869C2211yescharacteristic, complemented
136#16810866C2211yescharacteristic, complemented
137#16810862C2211yescharacteristic, complemented
138#16810858C2211yescharacteristic, complemented
139#16810857C2211yescharacteristic
140#16810849C2211yescharacteristic, complemented
141#16810848C2211yescharacteristic, complemented
142#16810843C2211yescharacteristic, complemented
143#16810843C2211yescharacteristic, complemented
144#16810840C2211yescharacteristic
145#16810840C2211yescharacteristic, complemented
146#16810840C2211yescharacteristic, complemented
147#16810837C2211yescharacteristic, complemented
148#16810837C2211yescharacteristic, complemented
149#16810815C2211yescharacteristic
150#16810782C2211yescharacteristic
151#16810769C2211yescharacteristic
152#16810757C2211yescharacteristic
153#16810757C2211yescharacteristic
154#16810752C2211yescharacteristic, complemented
155C8×Dic106C2211yescharacteristic, complemented
156#16810733C2211yescharacteristic
157#16810732C2211yescharacteristic
158#16810728C2211yescharacteristic, complemented
159#16810724C2211yescharacteristic, complemented
160C4×#11719913C2211yescharacteristic, complemented
161SD16×Dic53C2211yescharacteristic
162SD16×Dic53C2211yescharacteristic
163SD16×Dic53C2211yescharacteristic, complemented
164#16810703C2211yescharacteristic
165#16810703C2211yescharacteristic, complemented
166#16810703C2211yescharacteristic, complemented
167#16810699C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic, complemented
169#16810695C2211yescharacteristic
170#16810692C2211yescharacteristic, complemented
171#16810686C2211yescharacteristic, complemented
172#16810682C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810673C2211yescharacteristic, complemented
175#16810666C2211yescharacteristic, complemented
176#16810665C2211yescharacteristic, complemented
177#16810665C2211yescharacteristic, complemented
178#16810664C2211yescharacteristic, complemented
179#16810659C2211yescharacteristic, complemented
180#107×D53C2211yescharacteristic, complemented
181#16810651C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183#16810646C2211yescharacteristic, complemented
184#16810628C2211yescharacteristic
185#16810621C2211yescharacteristic
186#16810616C2211yescharacteristic
187C2×#13133138C2211yescharacteristic
188C53×#556C2211yescharacteristic
189D42×C53C2211yescharacteristic
190C53×#486C2211yescharacteristic
191C53×#482C2211yescharacteristic
192C53×#482C2211yescharacteristic
193C53×#474C2211yescharacteristic
194C53×#468C2211yescharacteristic
195C53×#468C2211yescharacteristic
196C53×#460C2211yescharacteristic
197C53×#450C2211yescharacteristic
198C53×#450C2211yescharacteristic
199C4×SD16×C53C2211yescharacteristic
200C53×#436C2211yescharacteristic
201C53×#418C2211yescharacteristic
202C53×#418C2211yescharacteristic
203C2×#11719947—21no—
204C2×#11719947C2311yescharacteristic
205C23×Dic53—21no—
206C2×#11719925C2311yescharacteristic
207C2×#11719913C2311yescharacteristic
208C2×#11719922C2311yescharacteristic
209C2×#11719922C2311yescharacteristic
210C2×#11719922C2311yescharacteristic
211C2×#11719917C2311yescharacteristic
212C2×#11719912C2311yescharacteristic
213C22×#88322C2311yescharacteristic
214C2×C8×D53C2311yescharacteristic
215#13133217—21no—
216#13133216—21no—
217#13133216C2311yescharacteristic
218#13133216C2311yescharacteristic
219#13133216C2311yescharacteristic
220#13133216C2311yescharacteristic
221#13133215—21no—
222#13133212—21no—
223#13133212—21no—
224#13133212—21no—
225#13133212—21no—
226#13133212D411yescharacteristic
227#13133211—21no—
228#13133211—21no—
229#13133210—21no—
230#13133210—21no—
231#13133210—21no—
232#13133210—21no—
233#13133210—21no—
234#13133210D411yescharacteristic
235#13133209—21no—
236#13133209—21no—
237#13133209C2311yescharacteristic
238#13133209C2311yescharacteristic
239#13133208—21no—
240#13133208—21no—
241#13133208C2311yescharacteristic
242#13133208C2311yescharacteristic
243#13133208C2311yescharacteristic
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133207—21no—
247#13133207—21no—
248#13133207—21no—
249#13133207D411yescharacteristic
250#13133206C2311yescharacteristic
251#13133205—21no—
252#13133205—21no—
253#13133204—21no—
254#13133204—21no—
255#13133204C2311yescharacteristic
256#13133204C2311yescharacteristic
257#13133203—21no—
258#13133203—21no—
259#13133203D411yescharacteristic
260#13133202—21no—
261#13133201—21no—
262#13133201—21no—
263#13133201D411yescharacteristic
264#13133199—21no—
265#13133199—21no—
266#13133199—21no—
267#13133199—21no—
268#13133199—21no—
269#13133198—21no—
270#13133198—21no—
271#13133198—21no—
272#13133198—21no—
273#13133198—21no—
274#13133198—21no—
275#13133198—21no—
276#13133198—21no—
277#13133198—21no—
278#13133198—21no—
279#13133198—21no—
280#13133198D411yescharacteristic
281#13133197—21no—
282#13133197—21no—
283#13133196—21no—
284#13133196C2311yescharacteristic
285#13133196C2311yescharacteristic
286#13133195—21no—
287#13133195—21no—
288#13133194—21no—
289#13133194—21no—
290#13133194—21no—
291#13133194—21no—
292#13133194—21no—
293#13133194—21no—
294#13133194—21no—
295#13133194—21no—
296#13133194D411yescharacteristic
297#13133193—21no—
298#13133193—21no—
299#13133193—21no—
300#13133193C2311yescharacteristic
301#13133192C2311yescharacteristic
302#13133191C2311yescharacteristic
303#13133191C2311yescharacteristic
304#13133190—21no—
305#13133190—21no—
306#13133189—21no—
307#13133189—21no—
308#13133189—21no—
309#13133189—21no—
310#13133189—21no—
311#13133189D411yescharacteristic
312#13133188—21no—
313#13133188C2311yescharacteristic
314#13133188C2311yescharacteristic
315#13133186—21no—
316#13133186—21no—
317Q8×Dic53C2311yescharacteristic
318Q8×Dic53C2311yescharacteristic
319C4×Dic106—21no—
320C4×Dic106—21no—
321C4×Dic106—21no—
322C4×Dic106C2311yescharacteristic
323C4×Dic106C2311yescharacteristic
324#13133182C2311yescharacteristic
325C4×D212—21no—
326C4×D212C2311yescharacteristic
327D4×Dic53—21no—
328D4×Dic53—21no—
329D4×Dic53—21no—
330D4×Dic53—21no—
331D4×Dic53—21no—
332D4×Dic53—21no—
333D4×Dic53C2311yescharacteristic
334D4×Dic53C2311yescharacteristic
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342C4×C22⋊D53—21no—
343C4×C22⋊D53C2311yescharacteristic
344C4×C22⋊D53C2311yescharacteristic
345#13133177—21no—
346#13133177—21no—
347#13133177—21no—
348#13133177—21no—
349#13133176C2311yescharacteristic
350#13133176C2311yescharacteristic
351#13133176C2311yescharacteristic
352#13133175—21no—
353#13133175—21no—
354#13133175C2311yescharacteristic
355#13133174—21no—
356#13133174C2311yescharacteristic
357#13133173—21no—
358#13133173—21no—
359#13133173—21no—
360#13133173—21no—
361C2×C4⋊Dic53C2311yescharacteristic
362C2×C4⋊Dic53C2311yescharacteristic
363C2×#11719919—21no—
364C2×#11719919—21no—
365C4⋊C4×D53—21no—
366C4⋊C4×D53C2311yescharacteristic
367C4⋊C4×D53C2311yescharacteristic
368C2×C22⋊Dic53—21no—
369C2×C22⋊Dic53—21no—
370C2×C22⋊Dic53—21no—
371C2×C22⋊Dic53—21no—
372C2×C22⋊Dic53—21no—
373C2×C4×Dic53C2311yescharacteristic
374#13133151C2311yescharacteristic
375#13133151C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133137C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133128C2311yescharacteristic
431#13133127C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×D4×C53—21no—
436C22×D4×C53C2311yescharacteristic
437C22×D4×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×M16×C53C2311yescharacteristic
442C2×M16×C53C2311yescharacteristic
443C4⋊Q8×C53C2311yescharacteristic
444#127×C53C2311yescharacteristic
445#126×C53—21no—
446#126×C53—21no—
447#124×C53—21no—
448C22⋊Q8×C53C2311yescharacteristic
449C22⋊Q8×C53C2311yescharacteristic
450#121×C53—21no—
451#121×C53C2311yescharacteristic
452#121×C53C2311yescharacteristic
453#120×C53—21no—
454#120×C53—21no—
455C4×Q8×C53—21no—
456C4×Q8×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459#117×C53C2311yescharacteristic
460#117×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465#103×C53C2311yescharacteristic
466#102×C53C2311yescharacteristic
467#102×C53C2311yescharacteristic
468#102×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C24×C53—21no—
479C24×C53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53C2411yescharacteristic
482C2×D4×C53—22no—
483C2×D4×C53—22no—
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—41no—
491C2×D4×C53—41no—
492C2×D4×C53—82no—
493C2×D4×C53C2×D411yescharacteristic
494C2×D4×C53C2411yescharacteristic
495C2×D4×C53C2411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C22×C4×C53—21no—
498C22×C4×C53C2411yescharacteristic
499C22×C4×C53C2411yescharacteristic
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53C2×D411yescharacteristic
506C2×C22⋊D53C2×D411yescharacteristic
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513C22×Dic53—21no—
514C22×Dic53—21no—
515C22×Dic53—21no—
516C22×Dic53—21no—
517C22×Dic53—82no—
518C22×Dic53C2×D411yescharacteristic
519C22×Dic53C2×D411yescharacteristic
520#11719947—22no—
521#11719947—41no—
522#11719947—82no—
523C2×D212—21no—
524C2×D212C2411yescharacteristic
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53C2411yescharacteristic
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106C2×D411yescharacteristic
536C2×Dic106C2411yescharacteristic
537SD16×C53—22no—
538SD16×C53—41no—
539SD16×C53—41no—
540M16×C53—41no—
541M16×C53—41no—
542C2×C8×C53C2411yescharacteristic
543C2×C8×C53C2411yescharacteristic
544C2×C8×C53C2411yescharacteristic
545C2×C8×C53C2411yescharacteristic
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53C2×D411yescharacteristic
551C4⋊C4×C53C2411yescharacteristic
552C4⋊C4×C53C2411yescharacteristic
553C4⋊C4×C53C2411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C22⋊C4×C53—21no—
556C22⋊C4×C53—21no—
557C22⋊C4×C53—21no—
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53C2×D411yescharacteristic
563C22⋊C4×C53C2×D411yescharacteristic
564C42×C53—21no—
565C42×C53—21no—
566C42×C53—21no—
567C42×C53C2411yescharacteristic
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53—21no—
583C22⋊Dic53—21no—
584C22⋊Dic53—21no—
585C22⋊Dic53C2×D411yescharacteristic
586C22⋊Dic53C2×D411yescharacteristic
587C22⋊Dic53C2×D411yescharacteristic
588C22⋊Dic53C2×D411yescharacteristic
589#11719925—41no—
590#11719922—22no—
591#11719922—41no—
592#11719922—41no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921C2×D411yescharacteristic
604#11719921C2×D411yescharacteristic
605#11719921C2×D411yescharacteristic
606#11719921C2×D411yescharacteristic
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2411yescharacteristic
620C4⋊Dic53C2411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625#11719919—21no—
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53C2×D411yescharacteristic
659C4×Dic53C2×D411yescharacteristic
660C4×Dic53C2411yescharacteristic
661C4×Dic53C2411yescharacteristic
662C4×Dic53C2411yescharacteristic
663#11719917—41no—
664C2×#88322—41no—
665C2×#88322C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669#11719913—41no—
670#11719912—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53—21no—
674C23×C53—21no—
675C23×C53—42no—
676C23×C53—42no—
677C23×C53—42no—
678C23×C53—81no—
679C23×C53—81no—
680C23×C53—81no—
681C23×C53C22×D411yescharacteristic
682C23×C53C22×D411yescharacteristic
683C22×D53—21no—
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687Q8×C53—81no—
688D4×C53—21no—
689D4×C53—21no—
690D4×C53—21no—
691D4×C53—21no—
692D4×C53—21no—
693D4×C53—41no—
694D4×C53—42no—
695D4×C53—42no—
696D4×C53—42no—
697D4×C53—81no—
698D4×C53—81no—
699D4×C53—81no—
700D4×C532−1+412yes—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—21no—
707C2×C4×C53—21no—
708C2×C4×C53—21no—
709C2×C4×C53—21no—
710C2×C4×C53—81no—
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C2511yescharacteristic
716C22⋊D53—41no—
717C22⋊D53—41no—
718C22⋊D53—42no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C22⋊D53—81no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—41no—
731C2×Dic53—41no—
732C2×Dic53—42no—
733C2×Dic53—42no—
734C2×Dic53—81no—
735C2×Dic53—81no—
736C2×Dic53—81no—
737C2×Dic53—81no—
738C2×Dic53—81no—
739C2×Dic53—81no—
740C2×Dic53—81no—
741C2×Dic53—81no—
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745C2×Dic53C22×D411yescharacteristic
746C2×Dic53C22×D411yescharacteristic
747C2×Dic53C22×D411yescharacteristic
748C2×Dic53C22×D411yescharacteristic
749D212—21no—
750D212—21no—
751D212—81no—
752C4×D53—21no—
753C4×D53—21no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759Dic106—21no—
760Dic106—21no—
761Dic106—41no—
762Dic106—81no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—22no—
780C22×C53—21no—
781C22×C53—21no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—41no—
785C22×C53—41no—
786C22×C53—41no—
787C22×C53—41no—
788C22×C53—41no—
789C22×C53—41no—
790C22×C53—84no—
791C22×C53—162no—
792C22×C53C23×D411yescharacteristic
793C2×D53—21no—
794C2×D53—21no—
795C2×D53—21no—
796C2×D53—41no—
797C2×D53—41no—
798C2×D53—41no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53C2×2−1+411yescharacteristic
809C4×C53#58511yescharacteristic
810Dic53—21no—
811Dic53—21no—
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—41no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343—531no—
835#3339—531no—
836#3324D5311yescharacteristic, complemented
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—41no—
856C2×C53—41no—
857C2×C53—42no—
858C2×C53—81no—
859C2×C53—81no—
860C2×C53#348911yescharacteristic
861C2×C53#358411yescharacteristic
862C2×C53#358511yescharacteristic
863D53—41no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—1061no—
870#556C2×D5311yescharacteristic
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—531no—
881#552—1061no—
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—531no—
887#546—1061no—
888D42C2×D5311yescharacteristic
889#544—531no—
890#544—531no—
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#486C2×D5311yescharacteristic
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484—531no—
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482C2×D5311yescharacteristic
934#482C2×D5311yescharacteristic
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478—531no—
955#478—531no—
956#477—531no—
957#477—531no—
958#477—531no—
959#476—531no—
960#476—531no—
961#476—531no—
962#476—531no—
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474C2×D5311yescharacteristic
970#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468C2×D5311yescharacteristic
977#468C2×D5311yescharacteristic
978#467—531no—
979#466—531no—
980#466—531no—
981#465—531no—
982#464—531no—
983#464—531no—
984#464—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460C2×D5311yescharacteristic
991#459—531no—
992#452—531no—
993#450C2×D5311yescharacteristic
994#450C2×D5311yescharacteristic
995#449—531no—
996#447—531no—
997#447—531no—
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441—531no—
1003#440—531no—
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16C2×D5311yescharacteristic
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436C2×D5311yescharacteristic
1015#435—531no—
1016#435—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428—531no—
1025#427—531no—
1026C2×#107—531no—
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418C2×D5311yescharacteristic
1032#418C2×D5311yescharacteristic
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
1039C22×D4—21no—
1040C22×D4C22×D5311yescharacteristic
1041C22×D4C22×D5311yescharacteristic
1042C23×C4—1061no—
1043C2×Q16—531no—
1044C2×SD16—531no—
1045C2×SD16C22×D5311yescharacteristic
1046C2×SD16C22×D5311yescharacteristic
1047C2×SD16C22×D5311yescharacteristic
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16C22×D5311yescharacteristic
1054C2×M16C22×D5311yescharacteristic
1055C22×C8—531no—
1056C22×C8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8C22×D5311yescharacteristic
1065#127C22×D5311yescharacteristic
1066#126—21no—
1067#126—21no—
1068#126—531no—
1069#126—531no—
1070#126—1061no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#125—531no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—531no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125—1061no—
1096#124—21no—
1097#124—531no—
1098#124—531no—
1099#124—531no—
1100#124—531no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124—1061no—
1107#123—531no—
1108#123—531no—
1109#123—1061no—
1110#123—1061no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—531no—
1129C22⋊Q8—531no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—1061no—
1133C22⋊Q8—1061no—
1134C22⋊Q8—1061no—
1135C22⋊Q8—1061no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8C22×D5311yescharacteristic
1149C22⋊Q8C22×D5311yescharacteristic
1150#121—21no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—1061no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121C22×D5311yescharacteristic
1166#121C22×D5311yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—21no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—531no—
1182C4×D4—531no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—1061no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—531no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
1212#117—1061no—
1213#117—1061no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117C22×D5311yescharacteristic
1220#117C22×D5311yescharacteristic
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—531no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
1242#107—531no—
1243#107—531no—
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106—531no—
1255#106—531no—
1256#106—531no—
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8—531no—
1265C4⋊C8—531no—
1266C4⋊C8—531no—
1267C4⋊C8C22×D5311yescharacteristic
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103—531no—
1275#103—531no—
1276#103—531no—
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102C22×D5311yescharacteristic
1292#102C22×D5311yescharacteristic
1293#102C22×D5311yescharacteristic
1294#102C22×D5311yescharacteristic
1295#102C22×D5311yescharacteristic
1296#102C22×D5311yescharacteristic
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8C22×D5311yescharacteristic
1305C22⋊C8C22×D5311yescharacteristic
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8C22×D5311yescharacteristic
1312C24—21no—
1313C24—21no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
1317C2×Q8—21no—
1318C2×Q8—531no—
1319C2×Q8—531no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8—1061no—
1324C2×Q8C23×D5311yescharacteristic
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—82no—
1336C2×D4—531no—
1337C2×D4—531no—
1338C2×D4—531no—
1339C2×D4—1061no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—1061no—
1345C2×D4D4×D5311yescharacteristic
1346C2×D4C23×D5311yescharacteristic
1347C2×D4C23×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—531no—
1351C22×C4—531no—
1352C22×C4—531no—
1353C22×C4—1061no—
1354C22×C4—1061no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—4242no—
1369C22×C4C23×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—22no—
1373SD16—41no—
1374SD16—41no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—41no—
1380M16—41no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—531no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—2121no—
1388C2×C8—2121no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4D4×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—531no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—531no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—531no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—531no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—42no—
1511C23—42no—
1512C23—81no—
1513C23—81no—
1514C23—81no—
1515C23—531no—
1516C23—1061no—
1517C23C2×D4×D5311yescharacteristic
1518C23C2×D4×D5311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—42no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—1061no—
1542D4—1061no—
1543D4—4241no—
1544D4—4241no—
1545D4—4241no—
1546D4—4241no—
1547D4—4241no—
1548D4—2121no—
1549D4—2121no—
1550D4—2122no—
1551D4#1313326412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—81no—
1562C2×C4—531no—
1563C2×C4—531no—
1564C2×C4—531no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—1061no—
1570C2×C4—1061no—
1571C2×C4—1061no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—4241no—
1579C2×C4—4241no—
1580C2×C4—4241no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—2121no—
1592C2×C4—2121no—
1593C2×C4—2122no—
1594C2×C4—2122no—
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—84no—
1624C22—162no—
1625C22—1061no—
1626C22—1061no—
1627C22—1061no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—1061no—
1642C4—1061no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—2121no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C4C2×#1313326411yescharacteristic
1656C4#1681145811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—4241no—
1663C2—2121no—
1664C2#2028838611yescharacteristic
1665C2#2028948711yescharacteristic
1666C2#2028949111yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3324C2
socleC22×C53C23×D4
hypercenter#3324D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3324

Complements

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

NH ≅ G/Ntype
1. #20289346C2semidirect
2. #20288640C2semidirect
3. #20287668C2semidirect
4. #20287591C2semidirect
5. #20287476C2semidirect
6. #20287380C2semidirect
7. #20287308C2semidirect
8. #20287281C2semidirect
9. #20287277C2semidirect
10. #20287239C2semidirect
11. #20287150C2semidirect
12. #20287110C2semidirect
13. #20286935C2semidirect
14. #20286912C2semidirect
15. #20286872C2semidirect
16. #20286856C2semidirect
17. #20286554C2semidirect
18. #20286172C2semidirect
19. #20286124C2semidirect
20. #20286112C2semidirect
21. #20286011C2semidirect
22. #20285961C2semidirect
23. #20285891C2semidirect
24. #20284988C2semidirect
25. #20284900C2semidirect
26. #20284763C2semidirect
27. #20284561C2semidirect
28. #20284548C2semidirect
29. #20284509C2semidirect
30. #20283861C2semidirect
31. C53×#3324C2semidirect
35. #16811349C22semidirect
37. #16811336C22semidirect
38. #16811334C22semidirect
42. #16811317C22semidirect
44. #16811315C22semidirect
47. #16811307C22semidirect
54. #16811251C22semidirect
55. #16811250C22semidirect
56. #16811246C22semidirect
57. #16811245C22semidirect
66. #16811176C22semidirect
67. #16811159C22semidirect
75. #16811031C22semidirect
76. #16811029C22semidirect
77. #16811025C22semidirect
78. #16811024C22semidirect
79. #16811023C22semidirect
80. #16811020C22semidirect
82. #16810981C22semidirect
83. #16810976C22semidirect
84. #16810976C22semidirect
85. #16810976C22semidirect
86. #16810965C22semidirect
87. #16810964C22semidirect
88. #16810964C22semidirect
89. #16810961C22semidirect
90. #16810956C22semidirect
91. #16810954C22semidirect
92. #16810952C22semidirect
93. #16810948C22semidirect
94. #16810946C22semidirect
95. #16810945C22semidirect
97. #16810943C22semidirect
98. #16810942C22semidirect
99. #16810940C22semidirect
101. #16810935C22semidirect
102. #16810932C22semidirect
103. #16810931C22semidirect
104. #16810930C22semidirect
105. #16810929C22semidirect
106. #16810926C22semidirect
109. #16810925C22semidirect
110. #16810925C22semidirect
111. #16810925C22semidirect
112. #16810924C22semidirect
116. #16810921C22semidirect
117. #16810921C22semidirect
118. #16810917C22semidirect
119. #16810916C22semidirect
120. #16810915C22semidirect
122. #16810911C22semidirect
123. #16810911C22semidirect
124. #16810911C22semidirect
125. #16810907C22semidirect
126. #16810902C22semidirect
129. #16810901C22semidirect
130. #16810901C22semidirect
131. #16810879C22semidirect
132. #16810875C22semidirect
134. #16810869C22semidirect
135. #16810869C22semidirect
136. #16810866C22semidirect
137. #16810862C22semidirect
138. #16810858C22semidirect
140. #16810849C22semidirect
141. #16810848C22semidirect
142. #16810843C22semidirect
143. #16810843C22semidirect
145. #16810840C22semidirect
146. #16810840C22semidirect
147. #16810837C22semidirect
148. #16810837C22semidirect
154. #16810752C22semidirect
155. C8×Dic106C22semidirect
158. #16810728C22semidirect
159. #16810724C22semidirect
160. C4×#11719913C22semidirect
163. SD16×Dic53C22semidirect
165. #16810703C22semidirect
166. #16810703C22semidirect
167. #16810699C22semidirect
168. #16810698C22semidirect
170. #16810692C22semidirect
171. #16810686C22semidirect
172. #16810682C22semidirect
173. #16810681C22semidirect
174. #16810673C22semidirect
175. #16810666C22semidirect
176. #16810665C22semidirect
177. #16810665C22semidirect
178. #16810664C22semidirect
179. #16810659C22semidirect
180. #107×D53C22semidirect
181. #16810651C22semidirect
182. #16810648C22semidirect
183. #16810646C22semidirect
836. #3324D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893462
#202886402
#202876682
#202875912
#202874762
#202873802
#202873082
#202872812
#202872772
#202872392
#202871502
#202871102
#202869352
#202869122
#202868722
#202868562
#202865542
#202861722
#202861242
#202861122
#202860112
#202859612
#202858912
#202849882
#202849002
#202847632
#202845612
#202845482
#202845092
#202838612
C53×#33242
#6217553