Finite Group Databasebeta

← #28293086

Subgroups — #28293086

Order 13568.

6608 conjugacy classes of subgroups.

The subgroup lattice has 2124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289401C214yesmaximal, complemented
2#20289400C214yesmaximal, complemented
3#20289208C211yesmaximal, characteristic, complemented
4#20289110C212yesmaximal, complemented
5#20289109C211yesmaximal, characteristic, complemented
6#20288975C211yesmaximal, characteristic, complemented
7#20288971C212yesmaximal, complemented
8#20288969C214yesmaximal, complemented
9#20288969C214yesmaximal, complemented
10#20288720C212yesmaximal, complemented
11#20288718C212yesmaximal, complemented
12#20288717C214yesmaximal, complemented
13#20288714C212yesmaximal, complemented
14#20288712C212yesmaximal, complemented
15#20288690C212yesmaximal, complemented
16#20288689C212yesmaximal, complemented
17#20288686C212yesmaximal, complemented
18#20288685C214yesmaximal, complemented
19#20288680C212yesmaximal, complemented
20#20288638C211yesmaximal, characteristic, complemented
21#20288636C212yesmaximal, complemented
22#20288634C211yesmaximal, characteristic, complemented
23#20288633C214yesmaximal, complemented
24#20288631C214yesmaximal, complemented
25#20288007C212yesmaximal, complemented
26#20288007C211yesmaximal, characteristic, complemented
27C53×#3539C211yesmaximal, characteristic, complemented
28C53⋊#564C2214yescomplemented
29#16811370C2214yescomplemented
30#16811369C2214yescomplemented
31#16811368C2214yescomplemented
32#16811362C2214yes—
33#16811362C2214yes—
34#16811362C2214yes—
35#16811351C2212yescomplemented
36#16811350C2214yescomplemented
37#16811350C2212yescomplemented
38#16811349C2212yescomplemented
39#16811348C2212yescomplemented
40#16811332C2212yescomplemented
41#16811331C2212yescomplemented
42#16811329C2212yescomplemented
43#16811328C2212yescomplemented
44#16811327C2214yescomplemented
45#16811326C2214yescomplemented
46#16811325C2214yes—
47#16811325C2214yes—
48#16811325C2214yescomplemented
49#16811324C2214yes—
50#16811324C2214yes—
51#16811324C2214yescomplemented
52#16811323C2214yes—
53#16811323C2214yescomplemented
54#16811322C2214yes—
55#16811322C2214yescomplemented
56#16811321C2214yescomplemented
57#16811320C2214yes—
58#16811320C2214yes—
59#16811320C2212yes—
60#16811320C2214yescomplemented
61#16811319C2212yes—
62#16811319C2214yescomplemented
63#16811318C2214yes—
64#16811318C2214yes—
65#16811318C2214yes—
66#16811318C2214yescomplemented
67#16811318C2214yescomplemented
68#16811317C2212yes—
69#16811316C2214yes—
70#16811316C2214yes—
71#16811316C2214yes—
72#16811316C2214yes—
73#16811316C2214yescomplemented
74#16811316C2214yescomplemented
75#16811315C2214yescomplemented
76#16811313C2212yes—
77#16811313C2214yescomplemented
78#16811312C2212yes—
79#16811312C2214yescomplemented
80#16811311C2214yescomplemented
81#16811310C2214yes—
82#16811310C2214yes—
83#16811310C2214yescomplemented
84#16811310C2214yescomplemented
85#16811309C2214yes—
86#16811309C2214yes—
87#16811309C2214yescomplemented
88#16811308C2214yescomplemented
89#16811307C2212yes—
90#16811307C2214yescomplemented
91#16811306C2214yescomplemented
92#16811305C2214yescomplemented
93#16811305C2214yescomplemented
94#16811294C2212yes—
95#16811294C2212yescomplemented
96#16811293C2214yes—
97#16811293C2214yes—
98#16811293C2212yescomplemented
99#16811292C2212yes—
100#16811292C2212yescomplemented
101#16811291C2214yes—
102#16811291C2214yes—
103#16811291C2212yes—
104#16811291C2212yescomplemented
105#16811291C2214yescomplemented
106#16811278C2212yes—
107#16811275C2212yes—
108#16811275C2212yescomplemented
109#16811274C2212yescomplemented
110#16811273C2214yes—
111#16811273C2214yes—
112#16811273C2212yescomplemented
113#16811272C2212yes—
114#16811272C2212yescomplemented
115#16811271C2214yes—
116#16811271C2214yes—
117#16811271C2214yescomplemented
118#16811236C2211yescharacteristic, complemented
119#16811235C2211yescharacteristic
120#16811234C2211yescharacteristic, complemented
121#16811233C2212yes—
122#16811233C2212yescomplemented
123#16811232C2214yescomplemented
124#16811230C2214yes—
125#16811230C2214yes—
126#16811230C2214yescomplemented
127#16811229C2211yescharacteristic, complemented
128#16811228C2211yescharacteristic
129#16811227C2214yes—
130#16811227C2214yes—
131#16811227C2211yescharacteristic, complemented
132#16811226C2212yes—
133#16811226C2214yes—
134#16811226C2214yes—
135#16811226C2212yescomplemented
136#16811225C2214yes—
137#16811225C2214yes—
138#16811225C2214yes—
139#16811225C2214yescomplemented
140#16811224C2214yes—
141#16811223C2214yes—
142#16811223C2214yes—
143#16811223C2214yes—
144#16811223C2214yes—
145#16811223C2214yes—
146#16811223C2214yescomplemented
147#16811219C2214yes—
148#16811218C2214yes—
149#16811218C2214yes—
150#16811217C2214yes—
151#16811217C2214yes—
152#16811216C2214yes—
153#16811216C2214yes—
154#16811216C2214yes—
155#16811215C2214yes—
156#16811214C2214yes—
157#16811214C2214yes—
158#16811203C2212yes—
159#16811202C2214yes—
160#16811202C2214yes—
161#16811202C2212yes—
162#16811201C2212yes—
163#16811200C2214yes—
164#16811200C2214yes—
165#16811176C2211yescharacteristic
166#16811176C2212yes—
167#16811175C2212yes—
168#16811175C2212yes—
169#16811175C2212yes—
170#16811174C2211yescharacteristic, complemented
171#16811171C2211yescharacteristic, complemented
172#16811170C2214yescomplemented
173#16811169C2211yescharacteristic
174#16811169C2212yes—
175#16811169C2212yescomplemented
176#16811168C2212yes—
177#16811168C2212yes—
178#16811168C2212yes—
179#16811168C2214yescomplemented
180#16811160C2212yescomplemented
181#16811159C2212yes—
182#16811159C2212yes—
183#16811159C2212yes—
184#16811159C2212yescomplemented
185#16811156C2214yescomplemented
186#16811155C2212yescomplemented
187#16811154C2212yes—
188#16811154C2212yes—
189#16811154C2212yes—
190#16811154C2212yescomplemented
191#16811153C2214yes—
192#16811153C2214yes—
193#16811153C2212yes—
194#16811153C2212yes—
195#16811153C2214yescomplemented
196#16811151C2214yescomplemented
197#16811150C2212yes—
198#16811150C2214yes—
199#16811150C2212yes—
200#16811150C2214yes—
201#16811150C2214yescomplemented
202C2×#13133208C2212yescomplemented
203C2×#13133207C2214yescomplemented
204#125×D53C2214yescomplemented
205#125×D53C2211yescharacteristic, complemented
206#125×D53C2211yescharacteristic, complemented
207#16811134C2211yescharacteristic
208#16811134C2212yes—
209#16811129C2212yes—
210#16811129C2214yes—
211#16811129C2212yes—
212#16811129C2214yes—
213#16811106C2212yescomplemented
214#16811105C2212yescomplemented
215#16811104C2214yescomplemented
216#16811104C2212yescomplemented
217#16811103C2214yescomplemented
218#16811102C2214yescomplemented
219#16811102C2214yescomplemented
220#16811102C2212yescomplemented
221#41×Dic53C2211yescharacteristic
222#41×Dic53C2212yes—
223#16811091C2211yescharacteristic
224#16811091C2212yes—
225C4×#11719947C2214yes—
226C4×#11719947C2214yes—
227C4×#11719947C2212yes—
228C4×#11719947C2212yes—
229C22×C4×Dic53C2211yescharacteristic
230C53×#560C2214yes—
231C53×#553C2214yes—
232C53×#553C2212yes—
233C53×#552C2212yes—
234C53×#550C2212yes—
235C53×#547C2212yes—
236C53×#541C2211yescharacteristic
237C53×#540C2211yescharacteristic
238C53×#540C2214yes—
239C53×#539C2214yes—
240C53×#537C2212yes—
241C53×#525C2212yes—
242C53×#525C2211yescharacteristic
243C2×#11719949C2312yes—
244C2×#11719945C2314yes—
245C2×#11719945C2314yes—
246C2×#11719945C2312yes—
247C2×#11719945C2312yes—
248C2×#11719945C2311yescharacteristic
249C2×#11719947C2312yes—
250C2×#11719947C2314yes—
251C2×#11719947C2314yes—
252C2×#11719947C2312yes—
253C2×#11719947C2312yes—
254C2×#11719947C2314yes—
255C2×#11719947C2314yes—
256C23×Dic53C2312yes—
257#13133217C2311yescharacteristic
258#13133216C2314yes—
259#13133216C2314yes—
260#13133216C2312yes—
261#13133216C2312yes—
262#13133216C2312yes—
263#13133215C2312yes—
264#13133215C2312yes—
265#13133215C2311yescharacteristic
266#13133214C2311yescharacteristic
267#13133213C2314yes—
268#13133213C2314yes—
269#13133213C2314yes—
270#13133213C2314yes—
271#13133213C2314yes—
272#13133213C2312yes—
273#13133213C2311yescharacteristic
274#13133213C2312yes—
275#13133212C2312yes—
276#13133212C2314yes—
277#13133212C2314yes—
278#13133212C2314yes—
279#13133212C2314yes—
280#13133212C2312yes—
281#13133212C2314yes—
282#13133212C2314yes—
283#13133212C2314yes—
284#13133211C2314yes—
285#13133210C2314yes—
286#13133210C2314yes—
287#13133210C2314yes—
288#13133210C2314yes—
289#13133210C2314yes—
290#13133210C2314yes—
291#13133210C2312yes—
292#13133210C2314yes—
293#13133210C2314yes—
294#13133210C2312yes—
295#13133210C2314yes—
296#13133210C2314yes—
297#13133210C2314yes—
298#13133210C2314yes—
299#13133210C2314yes—
300#13133209C2314yes—
301#13133209C2314yes—
302#13133209C2314yes—
303#13133209C2311yescharacteristic
304#13133209C2311yescharacteristic
305#13133208C2312yes—
306#13133208C2314yes—
307#13133208C2314yes—
308#13133208C2314yes—
309#13133208C2314yes—
310#13133208C2314yes—
311#13133208C2314yes—
312#13133208C2314yes—
313#13133208C2312yes—
314#13133208C2312yes—
315#13133208C2312yes—
316#13133208C2312yes—
317#13133207C2314yes—
318#13133207C2314yes—
319#13133207C2314yes—
320#13133207C2314yes—
321#13133207C2314yes—
322#13133207C2314yes—
323#13133207C2314yes—
324#13133207C2314yes—
325#13133207C2314yes—
326#13133207C2314yes—
327#13133207C2314yes—
328#13133207C2314yes—
329#13133207C2314yes—
330#13133207C2314yes—
331#13133207C2314yes—
332#13133207C2314yes—
333#13133207C2314yes—
334#13133207C2312yes—
335#13133207C2314yes—
336#13133207C2312yes—
337#13133206C2311yescharacteristic
338#13133206C2312yes—
339#13133204C2311yescharacteristic
340#13133204C2312yes—
341#13133203C2314yes—
342#13133203C2312yes—
343#13133203C2312yes—
344#13133203C2314yes—
345#13133202C2314yes—
346#13133202C2314yes—
347#13133202C2314yes—
348#13133202C2314yes—
349#13133202C2314yes—
350#13133202C2314yes—
351#13133201C2314yes—
352#13133201C2314yes—
353#13133201C2314yes—
354#13133201C2314yes—
355#13133201C2312yes—
356#13133201C2314yes—
357#13133201C2312yes—
358#13133200C2314yes—
359#13133200C2314yes—
360#13133200C2314yes—
361#13133200C2311yescharacteristic
362#13133200C2311yescharacteristic
363#13133200C2314yes—
364#13133199C2314yes—
365#13133199C2314yes—
366#13133199C2314yes—
367#13133199C2314yes—
368#13133199C2314yes—
369#13133199C2314yes—
370#13133199C2314yes—
371#13133199C2314yes—
372#13133199C2314yes—
373#13133199C2314yes—
374#13133199C2314yes—
375#13133199C2314yes—
376#13133198C2314yes—
377#13133198C2314yes—
378#13133198C2314yes—
379#13133198C2314yes—
380#13133198C2314yes—
381#13133198C2314yes—
382#13133198C2314yes—
383#13133198C2314yes—
384#13133198C2312yes—
385#13133198C2314yes—
386#13133198C2312yes—
387#13133197C2312yes—
388#13133197C2314yes—
389#13133197C2314yes—
390#13133196C2312yes—
391#13133196C2312yes—
392#13133196C2314yes—
393#13133196C2314yes—
394#13133196C2312yes—
395#13133196C2312yes—
396#13133195C2314yes—
397#13133195C2314yes—
398#13133195C2314yes—
399#13133195C2314yes—
400#13133195C2314yes—
401#13133194C2312yes—
402#13133194C2314yes—
403#13133194C2314yes—
404#13133194C2312yes—
405#13133194C2314yes—
406#13133194C2314yes—
407#13133194C2314yes—
408#13133194C2314yes—
409#13133194C2312yes—
410#13133194C2312yes—
411#13133194C2314yes—
412#13133194C2314yes—
413#13133194C2314yes—
414#13133193C2312yes—
415#13133193C2314yes—
416#13133192C2312yes—
417#13133192C2314yes—
418#13133192C2314yes—
419#13133192C2314yes—
420#13133191C2312yes—
421#13133191C2312yes—
422#13133191C2314yes—
423#13133191C2314yes—
424#13133191C2314yes—
425#13133191C2312yes—
426#13133191C2312yes—
427#13133190C2314yes—
428#13133190C2314yes—
429#13133190C2314yes—
430#13133190C2314yes—
431#13133190C2314yes—
432#13133190C2314yes—
433#13133190C2314yes—
434#13133190C2314yes—
435#13133190C2314yes—
436#13133190C2314yes—
437#13133190C2314yes—
438#13133190C2314yes—
439#13133190C2314yes—
440#13133189C2314yes—
441#13133189C2314yes—
442#13133189C2314yes—
443#13133189C2314yes—
444#13133189C2314yes—
445#13133189C2312yes—
446#13133189C2314yes—
447#13133189C2314yes—
448#13133189C2314yes—
449#13133189C2314yes—
450#13133189C2314yes—
451#13133189C2312yes—
452#13133189C2314yes—
453#13133189C2314yes—
454#13133189C2314yes—
455#13133189C2314yes—
456#13133189C2314yes—
457#13133189C2314yes—
458#13133189C2312yes—
459#13133189C2312yes—
460#13133189C2314yes—
461#13133189C2314yes—
462#13133189C2314yes—
463#13133188C2314yes—
464#13133188C2314yes—
465#13133188C2312yes—
466#13133188C2314yes—
467#13133188C2314yes—
468#13133188C2314yes—
469#13133188C2314yes—
470#13133188C2314yes—
471#13133188C2314yes—
472#13133188C2314yes—
473#13133188C2314yes—
474#13133186C2311yescharacteristic
475#13133186C2314yes—
476#13133186C2311yescharacteristic
477Q8×Dic53C2312yes—
478Q8×Dic53C2312yes—
479Q8×Dic53C2312yes—
480Q8×Dic53C2312yes—
481C4×Dic106C2314yes—
482C4×Dic106C2314yes—
483C4×Dic106C2312yes—
484C4×Dic106C2312yes—
485C4×Dic106C2312yes—
486C4×Dic106C2314yes—
487C4×Dic106C2314yes—
488#13133182C2314yes—
489#13133182C2314yes—
490#13133182C2312yes—
491#13133182C2314yes—
492#13133182C2312yes—
493#13133182C2312yes—
494#13133182C2314yes—
495#13133182C2312yes—
496#13133182C2312yes—
497#13133182C2312yes—
498C4×D212C2312yes—
499C4×D212C2314yes—
500C4×D212C2314yes—
501C4×D212C2314yes—
502D4×Dic53C2312yes—
503D4×Dic53C2312yes—
504D4×Dic53C2314yes—
505D4×Dic53C2314yes—
506D4×Dic53C2314yes—
507D4×Dic53C2314yes—
508D4×Dic53C2314yes—
509D4×Dic53C2314yes—
510D4×Dic53C2312yes—
511D4×Dic53C2314yes—
512D4×Dic53C2312yes—
513D4×Dic53C2312yes—
514D4×Dic53C2312yes—
515D4×Dic53C2312yes—
516D4×Dic53C2312yes—
517D4×Dic53C2314yes—
518#13133179C2312yes—
519#13133179C2312yes—
520#13133179C2314yes—
521#13133179C2314yes—
522#13133179C2314yes—
523#13133179C2312yes—
524#13133179C2312yes—
525C4×C22⋊D53C2312yes—
526C4×C22⋊D53C2312yes—
527C4×C22⋊D53C2314yes—
528C4×C22⋊D53C2314yes—
529C4×C22⋊D53C2312yes—
530C4×C22⋊D53C2312yes—
531C4×C22⋊D53C2314yes—
532C4×C22⋊D53C2314yes—
533C4×C22⋊D53C2314yes—
534C4×C22⋊D53C2314yes—
535C4×C22⋊D53C2314yes—
536C4×C22⋊D53C2314yes—
537C4×C22⋊D53C2314yes—
538C4×C22⋊D53C2314yes—
539C4×C22⋊D53C2314yes—
540C4×C22⋊D53C2314yes—
541C4×C22⋊D53C2314yes—
542#13133177C2314yes—
543#13133177C2314yes—
544#13133177C2314yes—
545#13133177C2314yes—
546#13133177C2314yes—
547#13133177C2314yes—
548#13133177C2314yes—
549#13133177C2314yes—
550#13133177C2314yes—
551#13133177C2314yes—
552#13133177C2312yes—
553#13133177C2314yes—
554#13133177C2314yes—
555#13133177C2312yes—
556#13133177C2312yes—
557#13133177C2312yes—
558#13133177C2312yes—
559#13133177C2312yes—
560#13133177C2314yes—
561#13133176C2312yes—
562#13133176C2314yes—
563#13133176C2314yes—
564#13133176C2314yes—
565#13133176C2312yes—
566#13133176C2311yescharacteristic
567#13133175C2314yes—
568#13133175C2314yes—
569#13133175C2314yes—
570#13133175C2314yes—
571#13133175C2312yes—
572#13133175C2312yes—
573#13133175C2314yes—
574#13133174C2314yes—
575#13133174C2314yes—
576#13133174C2314yes—
577#13133174C2314yes—
578#13133174C2311yescharacteristic
579#13133174C2311yescharacteristic
580#13133173C2312yes—
581#13133173C2312yes—
582#13133173C2314yes—
583#13133173C2314yes—
584#13133173C2312yes—
585#13133173C2314yes—
586#13133173C2314yes—
587#13133173C2314yes—
588#13133173C2312yes—
589#13133173C2314yes—
590#13133173C2314yes—
591C2×C4⋊Dic53C2314yes—
592C2×C4⋊Dic53C2314yes—
593C2×C4⋊Dic53C2312yes—
594C2×#11719919C2314yes—
595C2×#11719919C2314yes—
596C2×#11719919C2314yes—
597C2×#11719919C2314yes—
598C2×#11719919C2314yes—
599C4⋊C4×D53C2314yes—
600C4⋊C4×D53C2314yes—
601C4⋊C4×D53C2314yes—
602C4⋊C4×D53C2314yes—
603C4⋊C4×D53C2314yes—
604C4⋊C4×D53C2312yes—
605C4⋊C4×D53C2312yes—
606C4⋊C4×D53C2314yes—
607C4⋊C4×D53C2314yes—
608C4⋊C4×D53C2314yes—
609C2×C4×Dic53C2312yes—
610C2×C4×Dic53C2312yes—
611C2×C4×Dic53C2312yes—
612C2×C4×Dic53C2312yes—
613C2×C4×Dic53C2311yescharacteristic
614C2×C4×Dic53C2312yes—
615C2×C4×Dic53C2311yescharacteristic
616C2×C4×Dic53C2314yes—
617C2×C4×Dic53C2312yes—
618C42×D53C2314yes—
619C42×D53C2311yescharacteristic
620C42×D53C2311yescharacteristic
621C2×#41×C53C2312yes—
622C2×#41×C53C2312yes—
623C2×#41×C53C2311yescharacteristic
624C23×C4×C53C2311yescharacteristic
625C4⋊Q8×C53C2311yescharacteristic
626#127×C53C2314yes—
627#127×C53C2311yescharacteristic
628#126×C53C2314yes—
629#126×C53C2314yes—
630#126×C53C2314yes—
631#125×C53C2314yes—
632#125×C53C2314yes—
633#125×C53C2311yescharacteristic
634#125×C53C2311yescharacteristic
635#123×C53C2314yes—
636#123×C53C2314yes—
637#123×C53C2314yes—
638#123×C53C2314yes—
639#123×C53C2312yes—
640#123×C53C2314yes—
641#123×C53C2314yes—
642C22⋊Q8×C53C2312yes—
643C22⋊Q8×C53C2312yes—
644C22⋊Q8×C53C2312yes—
645C22⋊Q8×C53C2312yes—
646C22⋊Q8×C53C2314yes—
647#121×C53C2314yes—
648#121×C53C2314yes—
649#121×C53C2312yes—
650#121×C53C2312yes—
651#121×C53C2314yes—
652#121×C53C2314yes—
653#121×C53C2312yes—
654#121×C53C2312yes—
655#121×C53C2314yes—
656#121×C53C2314yes—
657#121×C53C2314yes—
658#121×C53C2314yes—
659#120×C53C2314yes—
660#120×C53C2312yes—
661C4×Q8×C53C2312yes—
662C4×D4×C53C2312yes—
663C4×D4×C53C2312yes—
664C4×D4×C53C2312yes—
665C4×D4×C53C2314yes—
666C4×D4×C53C2314yes—
667C4×D4×C53C2314yes—
668C4×D4×C53C2314yes—
669#117×C53C2312yes—
670#117×C53C2311yescharacteristic
671#117×C53C2314yes—
672C2×C4⋊C4×C53C2312yes—
673C2×C4⋊C4×C53C2314yes—
674C24×C53C2411yescharacteristic
675#41×C53—42no—
676#41×C53—44no—
677#41×C53—44no—
678C2×Q8×C53C2412yes—
679C2×Q8×C53C2411yescharacteristic
680C2×D4×C53C2412yes—
681C2×D4×C53C2414yes—
682C2×D4×C53C2412yes—
683C2×D4×C53C2414yes—
684C2×D4×C53C2412yes—
685C2×D4×C53C2414yes—
686C2×D4×C53C2414yes—
687C2×D4×C53C2412yes—
688C2×D4×C53C2414yes—
689C2×D4×C53C2411yescharacteristic
690C2×D4×C53C2414yes—
691C22×C4×C53—42no—
692C22×C4×C53C2412yes—
693C22×C4×C53C2412yes—
694C22×C4×C53C2411yescharacteristic
695C22×C4×C53C2414yes—
696C22×C4×C53C2414yes—
697C22×C4×C53C2414yes—
698C22×C4×C53C2414yes—
699C22×C4×C53C2411yescharacteristic
700C22×C4×C53C2412yes—
701C2×C22⋊D53C2412yes—
702C2×C22⋊D53C2414yes—
703C2×C22⋊D53C2412yes—
704C2×C22⋊D53C2411yescharacteristic
705C2×C22⋊D53C2414yes—
706C2×C22⋊D53C2411yescharacteristic
707C2×C22⋊D53C2414yes—
708C2×C22⋊D53C2414yes—
709C2×C22⋊D53C2412yes—
710C2×C22⋊D53C2414yes—
711C2×C22⋊D53C2412yes—
712C2×C22⋊D53C2414yes—
713C2×C22⋊D53C2414yes—
714C2×C22⋊D53C2414yes—
715C2×C22⋊D53C2414yes—
716C2×C22⋊D53C2414yes—
717C2×C22⋊D53C2414yes—
718C22×Dic53—44no—
719C22×Dic53C2412yes—
720C22×Dic53C2412yes—
721C22×Dic53C2412yes—
722C22×Dic53C2414yes—
723C22×Dic53C2412yes—
724C22×Dic53C2412yes—
725C22×Dic53C2412yes—
726C22×Dic53C2412yes—
727C22×Dic53C2414yes—
728C22×Dic53C2412yes—
729C22×Dic53C2414yes—
730C22×Dic53C2414yes—
731C22×Dic53C2414yes—
732#11719949—44no—
733#11719947—44no—
734#11719947—44no—
735#11719947—48no—
736#11719947—48no—
737#11719947—48no—
738#11719947—44no—
739#11719947—48no—
740#11719945—48no—
741#11719945—48no—
742#11719945—44no—
743#11719945—44no—
744#11719945—42no—
745C2×D212C2412yes—
746C2×D212C2414yes—
747C2×D212C2411yescharacteristic
748C2×D212C2414yes—
749C2×D212C2414yes—
750C2×C4×D53C2411yescharacteristic
751C2×C4×D53C2411yescharacteristic
752C2×C4×D53C2414yes—
753C2×C4×D53C2414yes—
754C2×C4×D53C2412yes—
755C2×C4×D53C2414yes—
756C2×C4×D53C2412yes—
757C2×C4×D53C2414yes—
758C2×C4×D53C2414yes—
759C2×C4×D53C2414yes—
760C2×C4×D53C2414yes—
761C2×C4×D53C2414yes—
762C2×C4×D53C2414yes—
763C2×Dic106C2412yes—
764C2×Dic106C2412yes—
765C2×Dic106C2414yes—
766C2×Dic106C2412yes—
767C2×Dic106C2411yescharacteristic
768C2×Dic106C2414yes—
769C4⋊C4×C53C2412yes—
770C4⋊C4×C53C2412yes—
771C4⋊C4×C53C2414yes—
772C4⋊C4×C53C2412yes—
773C4⋊C4×C53C2414yes—
774C4⋊C4×C53C2414yes—
775C4⋊C4×C53C2414yes—
776C4⋊C4×C53C2412yes—
777C4⋊C4×C53C2414yes—
778C4⋊C4×C53C2412yes—
779C4⋊C4×C53C2414yes—
780C4⋊C4×C53C2414yes—
781C4⋊C4×C53C2414yes—
782C22⋊C4×C53C2412yes—
783C22⋊C4×C53C2412yes—
784C22⋊C4×C53C2414yes—
785C22⋊C4×C53C2414yes—
786C22⋊C4×C53C2414yes—
787C22⋊C4×C53C2412yes—
788C22⋊C4×C53C2414yes—
789C22⋊C4×C53C2412yes—
790C22⋊C4×C53C2414yes—
791C22⋊C4×C53C2412yes—
792C22⋊C4×C53C2414yes—
793C22⋊C4×C53C2414yes—
794C22⋊C4×C53C2414yes—
795C42×C53C2414yes—
796C42×C53C2411yescharacteristic
797C42×C53C2411yescharacteristic
798C42×C53C2414yes—
799C22⋊Dic53C2414yes—
800C22⋊Dic53C2414yes—
801C22⋊Dic53C2414yes—
802C22⋊Dic53C2414yes—
803C22⋊Dic53C2412yes—
804C22⋊Dic53C2414yes—
805C22⋊Dic53C2412yes—
806C22⋊Dic53C2414yes—
807C22⋊Dic53C2412yes—
808C22⋊Dic53C2412yes—
809C22⋊Dic53C2412yes—
810C22⋊Dic53C2412yes—
811C22⋊Dic53C2414yes—
812C22⋊Dic53C2411yescharacteristic
813C22⋊Dic53C2414yes—
814C22⋊Dic53C2411yescharacteristic
815C22⋊Dic53C2414yes—
816C22⋊Dic53C2414yes—
817#11719921C2412yes—
818#11719921C2414yes—
819#11719921C2414yes—
820#11719921C2412yes—
821#11719921C2414yes—
822#11719921C2412yes—
823#11719921C2414yes—
824#11719921C2414yes—
825#11719921C2414yes—
826#11719921C2412yes—
827#11719921C2414yes—
828#11719921C2414yes—
829#11719921C2412yes—
830#11719921C2412yes—
831#11719921C2414yes—
832#11719921C2414yes—
833#11719921C2414yes—
834#11719921C2414yes—
835C4⋊Dic53C2412yes—
836C4⋊Dic53C2414yes—
837C4⋊Dic53C2414yes—
838C4⋊Dic53C2414yes—
839C4⋊Dic53C2414yes—
840C4⋊Dic53C2412yes—
841C4⋊Dic53C2414yes—
842C4⋊Dic53C2412yes—
843C4⋊Dic53C2414yes—
844C4⋊Dic53C2412yes—
845C4⋊Dic53C2414yes—
846C4⋊Dic53C2414yes—
847C4⋊Dic53C2414yes—
848C4⋊Dic53C2412yes—
849C4⋊Dic53C2412yes—
850C4⋊Dic53C2414yes—
851C4⋊Dic53C2412yes—
852#11719919C2412yes—
853#11719919C2412yes—
854#11719919C2412yes—
855#11719919C2412yes—
856#11719919C2414yes—
857#11719919C2414yes—
858#11719919C2414yes—
859#11719919C2414yes—
860#11719919C2414yes—
861#11719919C2414yes—
862#11719919C2414yes—
863#11719919C2414yes—
864#11719919C2414yes—
865#11719919C2414yes—
866#11719919C2414yes—
867#11719919C2414yes—
868#11719919C2414yes—
869#11719919C2412yes—
870#11719919C2412yes—
871#11719919C2412yes—
872#11719919C2412yes—
873#11719919C2414yes—
874#11719919C2414yes—
875#11719919C2414yes—
876#11719919C2414yes—
877#11719919C2414yes—
878#11719919C2412yes—
879#11719919C2414yes—
880#11719919C2412yes—
881#11719919C2414yes—
882#11719919C2414yes—
883#11719919C2414yes—
884C4×Dic53C2412yes—
885C4×Dic53C2411yescharacteristic
886C4×Dic53C2414yes—
887C4×Dic53C2412yes—
888C4×Dic53C2412yes—
889C4×Dic53C2414yes—
890C4×Dic53C2412yes—
891C4×Dic53C2412yes—
892C4×Dic53C2412yes—
893C4×Dic53C2412yes—
894C4×Dic53C2411yescharacteristic
895C4×Dic53C2411yescharacteristic
896C4×Dic53C2412yes—
897C4×Dic53C2411yescharacteristic
898C4×Dic53C2412yes—
899C4×Dic53C2414yes—
900C4×Dic53C2412yes—
901C4×Dic53C2414yes—
902C4×Dic53C2414yes—
903C4×Dic53C2412yes—
904C4×Dic53C2414yes—
905C4×Dic53C2414yes—
906C4×Dic53C2414yes—
907C23×C53—42no—
908C23×C53—41no—
909C23×C53C2514yes—
910C23×C53C2512yes—
911C23×C53C2512yes—
912C23×C53C2511yescharacteristic
913C22×D53C2511yescharacteristic
914C22×D53C2514yes—
915C22×D53C2511yescharacteristic
916Q8×C53—24no—
917Q8×C53—41no—
918D4×C53—24no—
919D4×C53—42no—
920D4×C53—44no—
921D4×C53—44no—
922D4×C53—44no—
923D4×C53—42no—
924D4×C53—44no—
925D4×C53—41no—
926D4×C53—42no—
927D4×C53—44no—
928D4×C53—44no—
929C2×C4×C53—22no—
930C2×C4×C53—24no—
931C2×C4×C53—24no—
932C2×C4×C53—44no—
933C2×C4×C53—44no—
934C2×C4×C53—42no—
935C2×C4×C53—41no—
936C2×C4×C53—44no—
937C2×C4×C53—44no—
938C2×C4×C53C2514yes—
939C2×C4×C53C2512yes—
940C2×C4×C53C2514yes—
941C2×C4×C53C2512yes—
942C2×C4×C53C2511yescharacteristic
943C2×C4×C53C2512yes—
944C2×C4×C53C2512yes—
945C2×C4×C53C2514yes—
946C2×C4×C53C2511yescharacteristic
947C22⋊D53—24no—
948C22⋊D53—28no—
949C22⋊D53—24no—
950C22⋊D53—44no—
951C22⋊D53—44no—
952C22⋊D53—44no—
953C22⋊D53—44no—
954C22⋊D53—41no—
955C22⋊D53—41no—
956C22⋊D53—44no—
957C22⋊D53—42no—
958C22⋊D53—44no—
959C22⋊D53—44no—
960C22⋊D53—42no—
961C22⋊D53—44no—
962C22⋊D53—44no—
963C22⋊D53—44no—
964C2×Dic53—28no—
965C2×Dic53—24no—
966C2×Dic53—24no—
967C2×Dic53—24no—
968C2×Dic53—44no—
969C2×Dic53—42no—
970C2×Dic53—44no—
971C2×Dic53—44no—
972C2×Dic53—44no—
973C2×Dic53—42no—
974C2×Dic53—42no—
975C2×Dic53—42no—
976C2×Dic53—42no—
977C2×Dic53C2512yes—
978C2×Dic53C2511yescharacteristic
979C2×Dic53C2514yes—
980C2×Dic53C2514yes—
981C2×Dic53C2512yes—
982C2×Dic53C2511yescharacteristic
983C2×Dic53C2514yes—
984C2×Dic53C2512yes—
985C2×Dic53C2512yes—
986C2×Dic53C2512yes—
987C2×Dic53C2512yes—
988D212—24no—
989D212—44no—
990D212—44no—
991D212—41no—
992D212—44no—
993C4×D53—22no—
994C4×D53—22no—
995C4×D53—28no—
996C4×D53—44no—
997C4×D53—44no—
998C4×D53—44no—
999C4×D53—44no—
1000C4×D53—44no—
1001C4×D53—44no—
1002C4×D53—42no—
1003C4×D53—44no—
1004C4×D53—42no—
1005C4×D53—44no—
1006Dic106—24no—
1007Dic106—24no—
1008Dic106—28no—
1009Dic106—24no—
1010Dic106—41no—
1011Dic106—44no—
1012#62840—531nomaximal, Sylow
1013C22×C53—22no—
1014C22×C53—22no—
1015C22×C53—22no—
1016C22×C53—24no—
1017C22×C53—22no—
1018C22×C53—24no—
1019C22×C53—22no—
1020C22×C53—24no—
1021C22×C53—22no—
1022C22×C53—21no—
1023C22×C53—22no—
1024C22×C53—44no—
1025C22×C53C2611yescharacteristic
1026C2×D53—21no—
1027C2×D53—24no—
1028C2×D53—21no—
1029C2×D53—24no—
1030C2×D53—22no—
1031C2×D53—24no—
1032C2×D53—22no—
1033C4×C53—22no—
1034C4×C53—24no—
1035C4×C53—22no—
1036C4×C53—24no—
1037C4×C53—21no—
1038C4×C53—22no—
1039C4×C53—22no—
1040C4×C53—24no—
1041C4×C53#58512yes—
1042Dic53—22no—
1043Dic53—24no—
1044Dic53—24no—
1045Dic53—22no—
1046Dic53—22no—
1047Dic53—21no—
1048Dic53—21no—
1049Dic53—24no—
1050Dic53—22no—
1051Dic53—22no—
1052Dic53#58514yes—
1053#3567—534no—
1054#3567—534no—
1055#3556—531no—
1056#3548—531no—
1057#3548—532no—
1058#3539—534no—
1059#3539—534no—
1060#3539—532no—
1061#3539—531no—
1062#3539D5311yescharacteristic, complemented
1063#3517—532no—
1064#3517—532no—
1065#3517—532no—
1066#3517—532no—
1067#3517—534no—
1068#3515—532no—
1069#3515—532no—
1070#3515—532no—
1071#3515—532no—
1072#3515—534no—
1073#3512—534no—
1074#3512—534no—
1075#3512—531no—
1076#3512—531no—
1077#3512—532no—
1078#3444—531no—
1079#3444—532no—
1080C2×C53—44no—
1081C2×C53—42no—
1082C2×C53—41no—
1083C2×C53—42no—
1084C2×C53C2×#58512yes—
1085C2×C53C2×#58511yescharacteristic
1086D53—41no—
1087D53—44no—
1088D53—41no—
1089#564—534no—
1090#562—534no—
1091#562—534no—
1092#562—534no—
1093#560—534no—
1094#560—534no—
1095#560—534no—
1096#560C2×D5314yes—
1097#557—532no—
1098#557—534no—
1099#557—532no—
1100#557—532no—
1101#557—532no—
1102#554—532no—
1103#554—534no—
1104#554—532no—
1105#554—532no—
1106#554—532no—
1107#553—534no—
1108#553—534no—
1109#553—534no—
1110#553—534no—
1111#553—534no—
1112#553—534no—
1113#553—534no—
1114#553—534no—
1115#553—534no—
1116#553—534no—
1117#553—534no—
1118#553—534no—
1119#553—534no—
1120#553—534no—
1121#553—534no—
1122#553—534no—
1123#553—534no—
1124#553—532no—
1125#553—534no—
1126#553—534no—
1127#553—534no—
1128#553—534no—
1129#553—532no—
1130#553—534no—
1131#553—534no—
1132#553—534no—
1133#553—534no—
1134#553—534no—
1135#553—532no—
1136#553—534no—
1137#553C2×D5314yes—
1138#553C2×D5312yes—
1139#552—534no—
1140#552—534no—
1141#552—534no—
1142#552—534no—
1143#552—534no—
1144#552—534no—
1145#552—534no—
1146#552—534no—
1147#552—534no—
1148#552—534no—
1149#552—532no—
1150#552—534no—
1151#552—534no—
1152#552—532no—
1153#552—534no—
1154#552—534no—
1155#552—532no—
1156#552—534no—
1157#552—534no—
1158#552C2×D5312yes—
1159#550—532no—
1160#550—532no—
1161#550—534no—
1162#550—534no—
1163#550—532no—
1164#550—532no—
1165#550—534no—
1166#550—534no—
1167#550—532no—
1168#550—534no—
1169#550—532no—
1170#550—532no—
1171#550C2×D5312yes—
1172#547—532no—
1173#547—532no—
1174#547—534no—
1175#547—534no—
1176#547—534no—
1177#547—532no—
1178#547—532no—
1179#547—534no—
1180#547—534no—
1181#547—532no—
1182#547—532no—
1183#547—532no—
1184#547C2×D5312yes—
1185#541—531no—
1186#541—534no—
1187#541—534no—
1188#541—534no—
1189#541—534no—
1190#541—531no—
1191#541—532no—
1192#541—532no—
1193#541—531no—
1194#541C2×D5311yescharacteristic
1195#540—531no—
1196#540—534no—
1197#540—534no—
1198#540—531no—
1199#540—534no—
1200#540—534no—
1201#540—534no—
1202#540—534no—
1203#540—534no—
1204#540—532no—
1205#540—534no—
1206#540—534no—
1207#540—532no—
1208#540—534no—
1209#540—534no—
1210#540—534no—
1211#540—534no—
1212#540—534no—
1213#540—534no—
1214#540—531no—
1215#540C2×D5311yescharacteristic
1216#540C2×D5314yes—
1217#539—534no—
1218#539—534no—
1219#539—534no—
1220#539—534no—
1221#539—534no—
1222#539—534no—
1223#539—534no—
1224#539—534no—
1225#539—534no—
1226#539—534no—
1227#539—534no—
1228#539C2×D5314yes—
1229#537—532no—
1230#537—532no—
1231#537—534no—
1232#537—534no—
1233#537—534no—
1234#537—534no—
1235#537—532no—
1236#537C2×D5312yes—
1237#533—532no—
1238#533—532no—
1239#533—532no—
1240#533—532no—
1241#533—531no—
1242#532—532no—
1243#532—531no—
1244#532—532no—
1245#532—531no—
1246#532—531no—
1247#532—532no—
1248#532—532no—
1249#532—532no—
1250#532—534no—
1251#532—534no—
1252#529—534no—
1253#529—532no—
1254#529—532no—
1255#529—534no—
1256#529—534no—
1257#529—534no—
1258#529—532no—
1259#529—532no—
1260#529—532no—
1261#529—532no—
1262#529—532no—
1263#529—532no—
1264#529—532no—
1265#529—532no—
1266#529—532no—
1267#529—534no—
1268#529—532no—
1269#529—532no—
1270#529—534no—
1271#529—534no—
1272#529—532no—
1273#529—534no—
1274C2×#125—534no—
1275C2×#125—531no—
1276C2×#125—531no—
1277C2×#125—534no—
1278C2×#125—532no—
1279#525—531no—
1280#525—532no—
1281#525—534no—
1282#525—532no—
1283#525—534no—
1284#525—532no—
1285#525C2×D5311yescharacteristic
1286#525C2×D5312yes—
1287#520—532no—
1288#520—532no—
1289#520—534no—
1290#520—534no—
1291#520—532no—
1292#520—534no—
1293#520—534no—
1294#520—532no—
1295C4×#41—531no—
1296C4×#41—532no—
1297C4×#41—534no—
1298C4×#41—532no—
1299C4×#41—532no—
1300C4×#41—534no—
1301C4×#41—531no—
1302C4×#41—532no—
1303C22×C42—531no—
1304C53#6284011yescharacteristic, complemented, Sylow
1305C2×#41—532no—
1306C2×#41—534no—
1307C2×#41—532no—
1308C2×#41—534no—
1309C2×#41—532no—
1310C2×#41—534no—
1311C2×#41—534no—
1312C2×#41—532no—
1313C2×#41—531no—
1314C2×#41—532no—
1315C2×#41—534no—
1316C2×#41—534no—
1317C2×#41—532no—
1318C2×#41C22×D5311yescharacteristic
1319C2×#41C22×D5312yes—
1320C2×#41C22×D5312yes—
1321C23×C4—532no—
1322C23×C4C22×D5311yescharacteristic
1323C4⋊Q8—532no—
1324C4⋊Q8—531no—
1325C4⋊Q8—532no—
1326C4⋊Q8—532no—
1327C4⋊Q8—532no—
1328C4⋊Q8—532no—
1329C4⋊Q8—534no—
1330C4⋊Q8—534no—
1331C4⋊Q8—531no—
1332C4⋊Q8C22×D5311yescharacteristic
1333#127—531no—
1334#127—532no—
1335#127—534no—
1336#127—534no—
1337#127—532no—
1338#127—534no—
1339#127—534no—
1340#127—534no—
1341#127—531no—
1342#127C22×D5311yescharacteristic
1343#127C22×D5314yes—
1344#126—534no—
1345#126—532no—
1346#126—532no—
1347#126—534no—
1348#126—534no—
1349#126—534no—
1350#126—534no—
1351#126—534no—
1352#126—534no—
1353#126—534no—
1354#126—534no—
1355#126—532no—
1356#126—532no—
1357#126—534no—
1358#126—534no—
1359#126—534no—
1360#126—534no—
1361#126—534no—
1362#126—534no—
1363#126—534no—
1364#126—534no—
1365#126—534no—
1366#126—534no—
1367#126—534no—
1368#126—534no—
1369#126C22×D5314yes—
1370#126C22×D5314yes—
1371#126C22×D5314yes—
1372#125—532no—
1373#125—532no—
1374#125—534no—
1375#125—532no—
1376#125—532no—
1377#125—534no—
1378#125—534no—
1379#125—534no—
1380#125—534no—
1381#125—534no—
1382#125—534no—
1383#125—534no—
1384#125—534no—
1385#125—534no—
1386#125—534no—
1387#125—534no—
1388#125—534no—
1389#125—532no—
1390#125—534no—
1391#125—534no—
1392#125—532no—
1393#125—534no—
1394#125—532no—
1395#125—534no—
1396#125—534no—
1397#125—534no—
1398#125—534no—
1399#125—534no—
1400#125—534no—
1401#125—534no—
1402#125—534no—
1403#125—534no—
1404#125—534no—
1405#125—531no—
1406#125—531no—
1407#125—534no—
1408#125—534no—
1409#125C22×D5314yes—
1410#125C22×D5311yescharacteristic
1411#125C22×D5311yescharacteristic
1412#125C22×D5314yes—
1413#124—532no—
1414#124—531no—
1415#124—532no—
1416#124—531no—
1417#124—534no—
1418#124—532no—
1419#124—532no—
1420#124—534no—
1421#123—532no—
1422#123—534no—
1423#123—532no—
1424#123—534no—
1425#123—534no—
1426#123—534no—
1427#123—534no—
1428#123—534no—
1429#123—534no—
1430#123—534no—
1431#123—534no—
1432#123—534no—
1433#123—531no—
1434#123—531no—
1435#123—534no—
1436#123—534no—
1437#123—534no—
1438#123—534no—
1439#123—534no—
1440#123—534no—
1441#123—534no—
1442#123—534no—
1443#123—534no—
1444#123—532no—
1445#123—534no—
1446#123—532no—
1447#123—534no—
1448#123—534no—
1449#123—534no—
1450#123—534no—
1451#123—534no—
1452#123—534no—
1453#123—534no—
1454#123—534no—
1455#123—534no—
1456#123—534no—
1457#123—534no—
1458#123—534no—
1459#123—534no—
1460#123—534no—
1461#123—534no—
1462#123—534no—
1463#123C22×D5314yes—
1464#123C22×D5312yes—
1465#123C22×D5314yes—
1466#123C22×D5314yes—
1467#123C22×D5314yes—
1468#123C22×D5314yes—
1469#123C22×D5314yes—
1470C22⋊Q8—532no—
1471C22⋊Q8—534no—
1472C22⋊Q8—532no—
1473C22⋊Q8—532no—
1474C22⋊Q8—532no—
1475C22⋊Q8—532no—
1476C22⋊Q8—534no—
1477C22⋊Q8—534no—
1478C22⋊Q8—534no—
1479C22⋊Q8—534no—
1480C22⋊Q8—532no—
1481C22⋊Q8—534no—
1482C22⋊Q8—534no—
1483C22⋊Q8—534no—
1484C22⋊Q8—534no—
1485C22⋊Q8—534no—
1486C22⋊Q8—534no—
1487C22⋊Q8—532no—
1488C22⋊Q8—532no—
1489C22⋊Q8—534no—
1490C22⋊Q8—534no—
1491C22⋊Q8—532no—
1492C22⋊Q8—532no—
1493C22⋊Q8—534no—
1494C22⋊Q8—534no—
1495C22⋊Q8—534no—
1496C22⋊Q8—534no—
1497C22⋊Q8—534no—
1498C22⋊Q8—534no—
1499C22⋊Q8C22×D5312yes—
1500C22⋊Q8C22×D5312yes—
1501C22⋊Q8C22×D5312yes—
1502C22⋊Q8C22×D5312yes—
1503C22⋊Q8C22×D5314yes—
1504#121—532no—
1505#121—532no—
1506#121—534no—
1507#121—534no—
1508#121—534no—
1509#121—534no—
1510#121—532no—
1511#121—532no—
1512#121—532no—
1513#121—534no—
1514#121—534no—
1515#121—534no—
1516#121—534no—
1517#121—534no—
1518#121—534no—
1519#121—534no—
1520#121—534no—
1521#121—534no—
1522#121—534no—
1523#121—534no—
1524#121—534no—
1525#121—534no—
1526#121—534no—
1527#121—534no—
1528#121—534no—
1529#121—534no—
1530#121—534no—
1531#121—534no—
1532#121—534no—
1533#121—534no—
1534#121—534no—
1535#121—534no—
1536#121—534no—
1537#121—534no—
1538#121—532no—
1539#121—532no—
1540#121—532no—
1541#121—532no—
1542#121—534no—
1543#121—534no—
1544#121—534no—
1545#121—532no—
1546#121—534no—
1547#121—534no—
1548#121—534no—
1549#121—534no—
1550#121—534no—
1551#121—534no—
1552#121—534no—
1553#121—534no—
1554#121—534no—
1555#121—534no—
1556#121—534no—
1557#121—534no—
1558#121—534no—
1559#121—534no—
1560#121—534no—
1561#121—534no—
1562#121C22×D5312yes—
1563#121C22×D5312yes—
1564#121C22×D5312yes—
1565#121C22×D5312yes—
1566#121C22×D5314yes—
1567#121C22×D5314yes—
1568#121C22×D5314yes—
1569#121C22×D5314yes—
1570#121C22×D5314yes—
1571#121C22×D5314yes—
1572#121C22×D5314yes—
1573#121C22×D5314yes—
1574#120—531no—
1575#120—531no—
1576#120—534no—
1577#120C22×D5314yes—
1578#120C22×D5312yes—
1579C4×Q8—532no—
1580C4×Q8—532no—
1581C4×Q8—532no—
1582C4×Q8—532no—
1583C4×Q8—532no—
1584C4×Q8—532no—
1585C4×Q8—532no—
1586C4×Q8—534no—
1587C4×Q8—532no—
1588C4×Q8—532no—
1589C4×Q8—534no—
1590C4×Q8—534no—
1591C4×Q8—534no—
1592C4×Q8—532no—
1593C4×Q8—534no—
1594C4×Q8—532no—
1595C4×Q8—532no—
1596C4×Q8—534no—
1597C4×Q8—534no—
1598C4×Q8—534no—
1599C4×Q8—532no—
1600C4×Q8C22×D5312yes—
1601C4×D4—532no—
1602C4×D4—534no—
1603C4×D4—532no—
1604C4×D4—532no—
1605C4×D4—534no—
1606C4×D4—534no—
1607C4×D4—532no—
1608C4×D4—532no—
1609C4×D4—534no—
1610C4×D4—532no—
1611C4×D4—532no—
1612C4×D4—534no—
1613C4×D4—534no—
1614C4×D4—532no—
1615C4×D4—534no—
1616C4×D4—534no—
1617C4×D4—534no—
1618C4×D4—534no—
1619C4×D4—532no—
1620C4×D4—532no—
1621C4×D4—534no—
1622C4×D4—532no—
1623C4×D4—532no—
1624C4×D4—534no—
1625C4×D4—534no—
1626C4×D4—534no—
1627C4×D4—534no—
1628C4×D4—534no—
1629C4×D4—534no—
1630C4×D4—534no—
1631C4×D4—534no—
1632C4×D4—534no—
1633C4×D4—534no—
1634C4×D4—532no—
1635C4×D4—532no—
1636C4×D4—532no—
1637C4×D4—534no—
1638C4×D4—532no—
1639C4×D4—534no—
1640C4×D4—534no—
1641C4×D4—532no—
1642C4×D4—532no—
1643C4×D4—532no—
1644C4×D4—532no—
1645C4×D4—534no—
1646C4×D4—534no—
1647C4×D4—534no—
1648C4×D4—534no—
1649C4×D4—532no—
1650C4×D4—532no—
1651C4×D4—534no—
1652C4×D4—534no—
1653C4×D4—534no—
1654C4×D4—534no—
1655C4×D4—534no—
1656C4×D4—534no—
1657C4×D4—534no—
1658C4×D4—534no—
1659C4×D4—534no—
1660C4×D4—534no—
1661C4×D4—534no—
1662C4×D4—532no—
1663C4×D4—534no—
1664C4×D4C22×D5314yes—
1665C4×D4C22×D5312yes—
1666C4×D4C22×D5312yes—
1667C4×D4C22×D5314yes—
1668C4×D4C22×D5314yes—
1669C4×D4C22×D5312yes—
1670C4×D4C22×D5314yes—
1671#117—532no—
1672#117—531no—
1673#117—532no—
1674#117—534no—
1675#117—534no—
1676#117—534no—
1677#117—534no—
1678#117—534no—
1679#117—532no—
1680#117—532no—
1681#117—534no—
1682#117—534no—
1683#117—534no—
1684#117—534no—
1685#117—534no—
1686#117—532no—
1687#117—534no—
1688#117—532no—
1689#117—534no—
1690#117—532no—
1691#117—532no—
1692#117—534no—
1693#117—534no—
1694#117—534no—
1695#117—531no—
1696#117—531no—
1697#117—534no—
1698#117—534no—
1699#117—534no—
1700#117—534no—
1701#117C22×D5311yescharacteristic
1702#117C22×D5312yes—
1703#117C22×D5314yes—
1704C2×C4⋊C4—534no—
1705C2×C4⋊C4—534no—
1706C2×C4⋊C4—532no—
1707C2×C4⋊C4—534no—
1708C2×C4⋊C4—534no—
1709C2×C4⋊C4—534no—
1710C2×C4⋊C4—534no—
1711C2×C4⋊C4—534no—
1712C2×C4⋊C4—534no—
1713C2×C4⋊C4—534no—
1714C2×C4⋊C4—532no—
1715C2×C4⋊C4—532no—
1716C2×C4⋊C4—534no—
1717C2×C4⋊C4—534no—
1718C2×C4⋊C4—534no—
1719C2×C4⋊C4—534no—
1720C2×C4⋊C4—534no—
1721C2×C4⋊C4—534no—
1722C2×C4⋊C4C22×D5312yes—
1723C2×C4⋊C4C22×D5314yes—
1724C2×C42—534no—
1725C2×C42—532no—
1726C2×C42—532no—
1727C2×C42—531no—
1728C2×C42—532no—
1729C2×C42—532no—
1730C2×C42—532no—
1731C2×C42—532no—
1732C2×C42—531no—
1733C2×C42—531no—
1734C2×C42—531no—
1735C2×C42—534no—
1736C24C23×D5311yescharacteristic
1737#41—42no—
1738#41—44no—
1739#41—44no—
1740#41—2122no—
1741#41—2124no—
1742#41—2124no—
1743#41—2128no—
1744#41—2128no—
1745#41—2128no—
1746#41—2124no—
1747#41—2124no—
1748#41—2128no—
1749#41—2124no—
1750#41—2128no—
1751#41—2128no—
1752#41—2124no—
1753C2×Q8—532no—
1754C2×Q8—534no—
1755C2×Q8—532no—
1756C2×Q8—532no—
1757C2×Q8—534no—
1758C2×Q8—531no—
1759C2×Q8C23×D5312yes—
1760C2×Q8C23×D5311yescharacteristic
1761C2×D4—532no—
1762C2×D4—534no—
1763C2×D4—532no—
1764C2×D4—531no—
1765C2×D4—531no—
1766C2×D4—534no—
1767C2×D4—534no—
1768C2×D4—532no—
1769C2×D4—534no—
1770C2×D4—532no—
1771C2×D4—534no—
1772C2×D4—534no—
1773C2×D4—534no—
1774C2×D4—534no—
1775C2×D4—534no—
1776C2×D4—534no—
1777C2×D4—534no—
1778C2×D4—532no—
1779C2×D4—531no—
1780C2×D4—534no—
1781C2×D4—534no—
1782C2×D4—534no—
1783C2×D4C23×D5312yes—
1784C2×D4C23×D5312yes—
1785C2×D4C23×D5314yes—
1786C2×D4C23×D5311yescharacteristic
1787C2×D4C23×D5314yes—
1788C2×D4C23×D5314yes—
1789C2×D4C23×D5312yes—
1790C2×D4C23×D5314yes—
1791C2×D4C23×D5312yes—
1792C2×D4C23×D5314yes—
1793C2×D4C23×D5314yes—
1794C22×C4—42no—
1795C22×C4—532no—
1796C22×C4—532no—
1797C22×C4—532no—
1798C22×C4—534no—
1799C22×C4—532no—
1800C22×C4—532no—
1801C22×C4—532no—
1802C22×C4—532no—
1803C22×C4—534no—
1804C22×C4—532no—
1805C22×C4—534no—
1806C22×C4—534no—
1807C22×C4—534no—
1808C22×C4—534no—
1809C22×C4—531no—
1810C22×C4—531no—
1811C22×C4—532no—
1812C22×C4—534no—
1813C22×C4—532no—
1814C22×C4—534no—
1815C22×C4—534no—
1816C22×C4—534no—
1817C22×C4—534no—
1818C22×C4—534no—
1819C22×C4—534no—
1820C22×C4—534no—
1821C22×C4—2124no—
1822C22×C4C23×D5312yes—
1823C22×C4C23×D5311yescharacteristic
1824C22×C4C23×D5312yes—
1825C22×C4C23×D5311yescharacteristic
1826C22×C4C23×D5312yes—
1827C22×C4C23×D5314yes—
1828C22×C4C23×D5314yes—
1829C22×C4C23×D5314yes—
1830C22×C4C23×D5314yes—
1831C4⋊C4—532no—
1832C4⋊C4—534no—
1833C4⋊C4—532no—
1834C4⋊C4—534no—
1835C4⋊C4—532no—
1836C4⋊C4—532no—
1837C4⋊C4—534no—
1838C4⋊C4—532no—
1839C4⋊C4—532no—
1840C4⋊C4—534no—
1841C4⋊C4—532no—
1842C4⋊C4—534no—
1843C4⋊C4—534no—
1844C4⋊C4—532no—
1845C4⋊C4—532no—
1846C4⋊C4—534no—
1847C4⋊C4—534no—
1848C4⋊C4—534no—
1849C4⋊C4—532no—
1850C4⋊C4—532no—
1851C4⋊C4—532no—
1852C4⋊C4—534no—
1853C4⋊C4—534no—
1854C4⋊C4—534no—
1855C4⋊C4—534no—
1856C4⋊C4—534no—
1857C4⋊C4—534no—
1858C4⋊C4—534no—
1859C4⋊C4—534no—
1860C4⋊C4—534no—
1861C4⋊C4—534no—
1862C4⋊C4—534no—
1863C4⋊C4—534no—
1864C4⋊C4—534no—
1865C4⋊C4—534no—
1866C4⋊C4—534no—
1867C4⋊C4—534no—
1868C4⋊C4—534no—
1869C4⋊C4—534no—
1870C4⋊C4—532no—
1871C4⋊C4—534no—
1872C4⋊C4—532no—
1873C4⋊C4—534no—
1874C4⋊C4—534no—
1875C4⋊C4—532no—
1876C4⋊C4—532no—
1877C4⋊C4—534no—
1878C4⋊C4—534no—
1879C4⋊C4—532no—
1880C4⋊C4C23×D5312yes—
1881C4⋊C4C23×D5314yes—
1882C4⋊C4C23×D5314yes—
1883C4⋊C4C23×D5314yes—
1884C4⋊C4C23×D5314yes—
1885C4⋊C4C23×D5312yes—
1886C4⋊C4C23×D5312yes—
1887C4⋊C4C23×D5314yes—
1888C4⋊C4C23×D5314yes—
1889C4⋊C4C23×D5312yes—
1890C4⋊C4C23×D5314yes—
1891C4⋊C4C23×D5314yes—
1892C4⋊C4C23×D5312yes—
1893C22⋊C4—534no—
1894C22⋊C4—534no—
1895C22⋊C4—532no—
1896C22⋊C4—532no—
1897C22⋊C4—534no—
1898C22⋊C4—531no—
1899C22⋊C4—531no—
1900C22⋊C4—534no—
1901C22⋊C4—534no—
1902C22⋊C4—532no—
1903C22⋊C4—532no—
1904C22⋊C4—534no—
1905C22⋊C4—534no—
1906C22⋊C4—534no—
1907C22⋊C4—534no—
1908C22⋊C4—534no—
1909C22⋊C4—532no—
1910C22⋊C4—532no—
1911C22⋊C4—534no—
1912C22⋊C4—534no—
1913C22⋊C4—532no—
1914C22⋊C4—532no—
1915C22⋊C4—534no—
1916C22⋊C4—532no—
1917C22⋊C4—532no—
1918C22⋊C4—534no—
1919C22⋊C4—534no—
1920C22⋊C4—534no—
1921C22⋊C4—534no—
1922C22⋊C4—534no—
1923C22⋊C4—534no—
1924C22⋊C4—534no—
1925C22⋊C4—532no—
1926C22⋊C4—532no—
1927C22⋊C4—534no—
1928C22⋊C4—534no—
1929C22⋊C4C23×D5312yes—
1930C22⋊C4C23×D5312yes—
1931C22⋊C4C23×D5314yes—
1932C22⋊C4C23×D5314yes—
1933C22⋊C4C23×D5312yes—
1934C22⋊C4C23×D5314yes—
1935C22⋊C4C23×D5312yes—
1936C22⋊C4C23×D5314yes—
1937C22⋊C4C23×D5314yes—
1938C22⋊C4C23×D5314yes—
1939C22⋊C4C23×D5312yes—
1940C22⋊C4C23×D5314yes—
1941C22⋊C4C23×D5314yes—
1942C42—532no—
1943C42—531no—
1944C42—532no—
1945C42—531no—
1946C42—532no—
1947C42—532no—
1948C42—532no—
1949C42—531no—
1950C42—532no—
1951C42—531no—
1952C42—532no—
1953C42—532no—
1954C42—534no—
1955C42—534no—
1956C42—532no—
1957C42—532no—
1958C42—534no—
1959C42—534no—
1960C42—534no—
1961C42—532no—
1962C42—534no—
1963C42—534no—
1964C42—534no—
1965C42C23×D5314yes—
1966C42C23×D5311yescharacteristic
1967C42C23×D5311yescharacteristic
1968C42C23×D5314yes—
1969C23—41no—
1970C23—42no—
1971C23—534no—
1972C23—531no—
1973C23—531no—
1974C23C24×D5311yescharacteristic
1975C23C24×D5312yes—
1976C23C24×D5312yes—
1977C23C24×D5314yes—
1978Q8—24no—
1979Q8—41no—
1980Q8—1064no—
1981Q8—1068no—
1982Q8—1064no—
1983Q8—1064no—
1984Q8—2124no—
1985Q8—2121no—
1986D4—24no—
1987D4—42no—
1988D4—41no—
1989D4—44no—
1990D4—44no—
1991D4—44no—
1992D4—42no—
1993D4—44no—
1994D4—44no—
1995D4—42no—
1996D4—44no—
1997D4—1064no—
1998D4—1068no—
1999D4—1064no—
2000D4—1064no—
2001D4—2124no—
2002D4—2124no—
2003D4—2121no—
2004D4—2124no—
2005D4—2124no—
2006D4—2124no—
2007D4—2124no—
2008D4—2124no—
2009D4—2122no—
2010D4—2124no—
2011D4—2122no—
2012D4—2124no—
2013D4—2124no—
2014D4—2121no—
2015D4—2121no—
2016D4—2124no—
2017D4—2124no—
2018D4—2124no—
2019C2×C4—24no—
2020C2×C4—22no—
2021C2×C4—24no—
2022C2×C4—41no—
2023C2×C4—42no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—44no—
2028C2×C4—532no—
2029C2×C4—532no—
2030C2×C4—532no—
2031C2×C4—532no—
2032C2×C4—532no—
2033C2×C4—534no—
2034C2×C4—532no—
2035C2×C4—534no—
2036C2×C4—534no—
2037C2×C4—531no—
2038C2×C4—531no—
2039C2×C4—1068no—
2040C2×C4—1064no—
2041C2×C4—1064no—
2042C2×C4—1064no—
2043C2×C4—1068no—
2044C2×C4—1062no—
2045C2×C4—1062no—
2046C2×C4—2124no—
2047C2×C4—2124no—
2048C2×C4—2122no—
2049C2×C4—2124no—
2050C2×C4—2124no—
2051C2×C4—2122no—
2052C2×C4—2124no—
2053C2×C4—2124no—
2054C2×C4—2124no—
2055C2×C4—2124no—
2056C2×C4—2122no—
2057C2×C4—2122no—
2058C2×C4—2122no—
2059C2×C4—2122no—
2060C2×C4—2124no—
2061C2×C4—2122no—
2062C2×C4—2124no—
2063C2×C4—2124no—
2064C2×C4—2124no—
2065C2×C4C24×D5312yes—
2066C2×C4C24×D5311yescharacteristic
2067C2×C4C24×D5314yes—
2068C2×C4C24×D5312yes—
2069C2×C4C24×D5314yes—
2070C2×C4C24×D5312yes—
2071C2×C4C24×D5312yes—
2072C2×C4C24×D5314yes—
2073C2×C4C24×D5311yescharacteristic
2074C22—22no—
2075C22—24no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—24no—
2080C22—22no—
2081C22—22no—
2082C22—21no—
2083C22—22no—
2084C22—24no—
2085C22—44no—
2086C22—1064no—
2087C22—1062no—
2088C22—1064no—
2089C22—1062no—
2090C22—1061no—
2091C22—1061no—
2092C22—1064no—
2093C22C25×D5311yescharacteristic
2094C4—24no—
2095C4—22no—
2096C4—24no—
2097C4—22no—
2098C4—22no—
2099C4—22no—
2100C4—21no—
2101C4—24no—
2102C4—534no—
2103C4—1062no—
2104C4—1062no—
2105C4—1064no—
2106C4—1062no—
2107C4—1062no—
2108C4—1064no—
2109C4—1062no—
2110C4—1061no—
2111C4—1061no—
2112C4—1064no—
2113C4#1681145812yes—
2114C2—42no—
2115C2—41no—
2116C2—42no—
2117C2—44no—
2118C2—2124no—
2119C2—2121no—
2120C2—2121no—
2121C2#585×D5312yes—
2122C2C2×#1681145811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3539C2
hypercenter#3539D53
hypocenterC53#62840
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3539

Complements

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

NH ≅ G/Ntype
1. #20289401C2semidirect
2. #20289400C2semidirect
3. #20289208C2semidirect
4. #20289110C2semidirect
5. #20289109C2semidirect
6. #20288975C2semidirect
7. #20288971C2semidirect
8. #20288969C2semidirect
9. #20288969C2semidirect
10. #20288720C2semidirect
11. #20288718C2semidirect
12. #20288717C2semidirect
13. #20288714C2semidirect
14. #20288712C2semidirect
15. #20288690C2semidirect
16. #20288689C2semidirect
17. #20288686C2semidirect
18. #20288685C2semidirect
19. #20288680C2semidirect
20. #20288638C2semidirect
21. #20288636C2semidirect
22. #20288634C2semidirect
23. #20288633C2semidirect
24. #20288631C2semidirect
25. #20288007C2semidirect
26. #20288007C2semidirect
27. C53×#3539C2semidirect
28. C53⋊#564C22semidirect
29. #16811370C22semidirect
30. #16811369C22semidirect
31. #16811368C22semidirect
35. #16811351C22semidirect
36. #16811350C22semidirect
37. #16811350C22semidirect
38. #16811349C22semidirect
39. #16811348C22semidirect
40. #16811332C22semidirect
41. #16811331C22semidirect
42. #16811329C22semidirect
43. #16811328C22semidirect
44. #16811327C22semidirect
45. #16811326C22semidirect
48. #16811325C22semidirect
51. #16811324C22semidirect
53. #16811323C22semidirect
55. #16811322C22semidirect
56. #16811321C22semidirect
60. #16811320C22semidirect
62. #16811319C22semidirect
66. #16811318C22semidirect
67. #16811318C22semidirect
73. #16811316C22semidirect
74. #16811316C22semidirect
75. #16811315C22semidirect
77. #16811313C22semidirect
79. #16811312C22semidirect
80. #16811311C22semidirect
83. #16811310C22semidirect
84. #16811310C22semidirect
87. #16811309C22semidirect
88. #16811308C22semidirect
90. #16811307C22semidirect
91. #16811306C22semidirect
92. #16811305C22semidirect
93. #16811305C22semidirect
95. #16811294C22semidirect
98. #16811293C22semidirect
100. #16811292C22semidirect
104. #16811291C22semidirect
105. #16811291C22semidirect
108. #16811275C22semidirect
109. #16811274C22semidirect
112. #16811273C22semidirect
114. #16811272C22semidirect
117. #16811271C22semidirect
118. #16811236C22semidirect
120. #16811234C22semidirect
122. #16811233C22semidirect
123. #16811232C22semidirect
126. #16811230C22semidirect
127. #16811229C22semidirect
131. #16811227C22semidirect
135. #16811226C22semidirect
139. #16811225C22semidirect
146. #16811223C22semidirect
170. #16811174C22semidirect
171. #16811171C22semidirect
172. #16811170C22semidirect
175. #16811169C22semidirect
179. #16811168C22semidirect
180. #16811160C22semidirect
184. #16811159C22semidirect
185. #16811156C22semidirect
186. #16811155C22semidirect
190. #16811154C22semidirect
195. #16811153C22semidirect
196. #16811151C22semidirect
201. #16811150C22semidirect
202. C2×#13133208C22semidirect
203. C2×#13133207C22semidirect
204. #125×D53C22semidirect
205. #125×D53C22semidirect
206. #125×D53C22semidirect
213. #16811106C22semidirect
214. #16811105C22semidirect
215. #16811104C22semidirect
216. #16811104C22semidirect
217. #16811103C22semidirect
218. #16811102C22semidirect
219. #16811102C22semidirect
220. #16811102C22semidirect
1062. #3539D53semidirect
1304. C53#62840semidirect

Maximal subgroups

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

subgroupindex
#202894012
#202894002
#202892082
#202891102
#202891092
#202889752
#202889712
#202889692
#202887202
#202887182
#202887172
#202887142
#202887122
#202886902
#202886892
#202886862
#202886852
#202886802
#202886382
#202886362
#202886342
#202886332
#202886312
#202880072
C53×#35392
#6284053