Finite Group Databasebeta

← #28293051

Subgroups — #28293051

Order 13568.

6428 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289325C211yesmaximal, characteristic, complemented
2#20289324C212yesmaximal, complemented
3#20289321C211yesmaximal, characteristic, complemented
4#20289318C211yesmaximal, characteristic, complemented
5#20289315C212yesmaximal, complemented
6#20289209C212yesmaximal, complemented
7#20289200C212yesmaximal, complemented
8#20289196C214yesmaximal, complemented
9#20289192C212yesmaximal, complemented
10#20289125C212yesmaximal, complemented
11#20288962C212yesmaximal, complemented
12#20288957C212yesmaximal, complemented
13#20288807C214yesmaximal, complemented
14#20288804C214yesmaximal, complemented
15#20288598C212yesmaximal, complemented
16#20288597C212yesmaximal, complemented
17#20288593C212yesmaximal, complemented
18#20288593C212yesmaximal, complemented
19#20288575C212yesmaximal, complemented
20#20288574C212yesmaximal, complemented
21#20288530C212yesmaximal, complemented
22#20288529C212yesmaximal, complemented
23#20288523C212yesmaximal, complemented
24#20288522C212yesmaximal, complemented
25#20288463C212yesmaximal, complemented
26#20288458C214yesmaximal, complemented
27#20288456C212yesmaximal, complemented
28#20288009C211yesmaximal, characteristic
29C2×#16811179C211yesmaximal, characteristic, complemented
30#533×D53C211yesmaximal, characteristic, complemented
31C53×#3563C211yesmaximal, characteristic, complemented
32C53⋊#564C2212yescomplemented
33C53⋊#564C2212yescomplemented
34C53⋊#564C2212yescomplemented
35#16811377C2214yes—
36#16811377C2212yescomplemented
37#16811377C2212yescomplemented
38#16811375C2214yes—
39#16811374C2214yes—
40#16811373C2212yescomplemented
41#16811372C2214yes—
42#16811357C2214yescomplemented
43Q8×Dic106C2212yescomplemented
44#16811353C2214yescomplemented
45#16811353C2212yescomplemented
46#16811353C2214yescomplemented
47#16811351C2214yescomplemented
48#16811351C2212yescomplemented
49#16811350C2214yescomplemented
50#16811350C2212yescomplemented
51#16811350C2214yescomplemented
52#16811350C2212yescomplemented
53#16811350C2214yescomplemented
54#16811350C2214yescomplemented
55#16811350C2214yescomplemented
56#16811350C2214yescomplemented
57#16811350C2214yescomplemented
58#16811350C2214yescomplemented
59#16811350C2214yescomplemented
60#16811350C2214yescomplemented
61#16811349C2212yescomplemented
62#16811349C2212yescomplemented
63#16811348C2214yescomplemented
64#16811348C2214yescomplemented
65#16811347C2212yes—
66#16811346C2212yes—
67#16811345C2214yes—
68#16811344C2212yes—
69#16811344C2214yescomplemented
70#16811344C2212yescomplemented
71#16811341C2212yes—
72#16811341C2214yescomplemented
73#16811341C2212yescomplemented
74#16811340C2214yes—
75#16811340C2214yescomplemented
76#16811340C2214yescomplemented
77#16811340C2214yescomplemented
78#16811340C2214yescomplemented
79#16811340C2214yescomplemented
80#16811331C2212yes—
81#16811331C2212yescomplemented
82#16811330C2212yes—
83#16811329C2214yes—
84#16811328C2212yes—
85#16811328C2212yescomplemented
86#16811327C2214yes—
87#16811327C2214yescomplemented
88#16811315C2212yes—
89#16811315C2212yes—
90#16811314C2212yes—
91#16811314C2212yescomplemented
92#16811313C2212yes—
93#16811313C2212yescomplemented
94#16811311C2214yes—
95#16811311C2212yes—
96#16811311C2212yescomplemented
97#16811310C2214yes—
98#16811310C2214yes—
99#16811310C2214yescomplemented
100#16811309C2214yes—
101#16811309C2214yes—
102#16811309C2214yes—
103#16811308C2214yes—
104#16811308C2212yes—
105#16811308C2212yes—
106#16811307C2214yes—
107#16811306C2214yes—
108#16811306C2214yes—
109#16811306C2214yes—
110#16811305C2214yes—
111#16811305C2214yes—
112#16811305C2214yes—
113#16811305C2214yes—
114#16811305C2214yescomplemented
115#16811302C2214yes—
116#16811300C2214yes—
117#16811297C2214yes—
118#16811296C2214yes—
119D4×Dic106C2214yes—
120#16811288C2214yes—
121#16811286C2214yes—
122#16811286C2214yes—
123#16811286C2214yescomplemented
124#16811286C2214yescomplemented
125#16811254C2212yes—
126#16811253C2212yes—
127#16811253C2214yes—
128#16811253C2214yescomplemented
129#16811253C2212yescomplemented
130#16811252C2214yes—
131#16811252C2212yes—
132#16811252C2212yes—
133#16811252C2214yescomplemented
134#16811251C2212yescomplemented
135#16811250C2212yes—
136#16811250C2214yes—
137#16811250C2212yescomplemented
138#16811243C2214yes—
139#16811243C2214yes—
140#16811239C2214yes—
141#16811239C2214yes—
142#16811236C2214yescomplemented
143#16811236C2212yescomplemented
144#16811235C2212yescomplemented
145#16811234C2212yescomplemented
146#16811233C2214yescomplemented
147#16811232C2214yes—
148#16811232C2214yes—
149#16811232C2214yes—
150#16811232C2214yes—
151#16811232C2214yes—
152#16811232C2214yes—
153#16811232C2214yescomplemented
154#16811232C2214yescomplemented
155#16811232C2214yescomplemented
156#16811232C2214yescomplemented
157#16811231C2214yescomplemented
158#16811230C2214yescomplemented
159#16811230C2214yescomplemented
160#16811230C2214yescomplemented
161#16811230C2214yescomplemented
162#16811222C2212yes—
163#16811221C2214yes—
164#16811220C2212yes—
165#16811218C2212yes—
166#16811216C2214yes—
167#16811198C2214yes—
168#16811196C2212yes—
169#16811196C2212yes—
170#16811195C2214yes—
171#16811195C2214yes—
172#16811180C2211yescharacteristic
173#16811179C2212yes—
174#16811179C2212yes—
175#16811179C2212yes—
176#16811179C2212yes—
177#16811179C2212yes—
178#16811179C2212yes—
179#16811179C2212yes—
180#16811179C2212yes—
181#16811179C2212yes—
182#16811179C2211yescharacteristic
183#16811179C2214yes—
184#16811179C2212yescomplemented
185#16811178C2211yescharacteristic
186#16811178C2211yescharacteristic
187#16811177C2212yes—
188#16811177C2212yes—
189#16811177C2211yescharacteristic
190#16811177C2214yes—
191#16811177C2212yescomplemented
192#16811177C2212yescomplemented
193#16811176C2212yes—
194#16811176C2214yes—
195#16811176C2212yescomplemented
196#16811175C2212yes—
197#16811175C2212yes—
198#16811175C2211yescharacteristic
199#16811175C2214yes—
200#16811175C2212yescomplemented
201#16811175C2212yescomplemented
202#16811172C2211yescharacteristic
203#16811170C2211yescharacteristic
204#16811168C2211yescharacteristic
205C2×#13133216C2211yescharacteristic
206C2×#13133216C2211yescharacteristic
207C2×#13133216C2212yescomplemented
208C4⋊Q8×D53C2211yescharacteristic
209C4⋊Q8×D53C2211yescharacteristic
210C4⋊Q8×D53C2212yescomplemented
211#16811158C2211yescharacteristic
212#16811157C2211yescharacteristic
213#16811156C2212yes—
214#16811156C2212yes—
215#16811156C2214yes—
216#16811153C2214yes—
217#16811152C2211yescharacteristic
218#16811151C2212yes—
219#16811151C2214yes—
220#16811150C2212yes—
221#16811150C2214yes—
222C2×#13133209C2211yescharacteristic
223#125×D53C2212yes—
224#16811136C2211yescharacteristic
225#16811133C2211yescharacteristic
226#16811132C2212yes—
227#16811131C2212yes—
228C2×#13133195C2212yes—
229C2×#13133195C2212yes—
230C22⋊Q8×D53C2212yes—
231C22⋊Q8×D53C2212yes—
232#16811104C2212yes—
233#16811103C2212yes—
234#16811102C2214yes—
235#16811100C2214yes—
236#16811100C2214yescomplemented
237#16811099C2212yes—
238#16811099C2212yes—
239#16811099C2214yescomplemented
240C4×#11719949C2211yescharacteristic
241#16811091C2212yes—
242C4×#11719947C2212yes—
243C4×#11719947C2211yescharacteristic
244C2×#13133182C2212yes—
245C2×#13133182C2212yes—
246C4×Q8×D53C2212yes—
247C4×Q8×D53C2212yes—
248C2×#13133175C2211yescharacteristic
249C2×#13133175C2211yescharacteristic
250#117×D53C2212yes—
251C2×C42×D53C2211yescharacteristic
252C53×#564C2212yescomplemented
253C53×#563C2212yescomplemented
254C53×#557C2212yescomplemented
255C53×#554C2212yes—
256C53×#552C2214yes—
257C53×#552C2212yes—
258C53×#552C2212yescomplemented
259C53×#544C2212yes—
260C53×#544C2212yescomplemented
261C53×#541C2214yescomplemented
262C53×#541C2212yescomplemented
263C53×#539C2212yes—
264C53×#533C2211yescharacteristic
265C53×#529C2211yescharacteristic
266C2×#125×C53C2211yescharacteristic
267C2×#11719949C2311yescharacteristic
268C2×#11719945C2312yes—
269C2×#11719947C2312yes—
270C2×#11719947C2311yescharacteristic
271C22×Dic106C2312yes—
272C22×Dic106C2312yes—
273C22×Dic106C2314yes—
274C2×Q8×D53C2312yes—
275C2×Q8×D53C2312yes—
276C2×Q8×D53C2314yes—
277C22×C4×D53C2311yescharacteristic
278C22×C4×D53C2311yescharacteristic
279C22×C4×D53C2311yescharacteristic
280#13133217C2314yes—
281#13133217C2312yes—
282#13133217C2311yescharacteristic
283#13133217C2311yescharacteristic
284#13133216C2314yes—
285#13133216C2314yes—
286#13133216C2314yes—
287#13133216C2314yes—
288#13133216C2312yes—
289#13133216C2312yes—
290#13133216C2314yes—
291#13133216C2314yes—
292#13133216C2314yes—
293#13133216C2314yes—
294#13133216C2312yes—
295#13133216C2312yes—
296#13133216C2314yes—
297#13133216C2312yes—
298#13133216C2312yes—
299#13133216C2312yes—
300#13133216C2312yes—
301#13133216C2314yes—
302#13133216C2314yes—
303#13133216C2312yes—
304#13133216C2314yes—
305#13133216C2314yes—
306#13133216C2314yes—
307#13133216C2311yescharacteristic
308#13133216C2311yescharacteristic
309#13133216C2314yes—
310#13133216C2312yes—
311#13133216C2312yes—
312#13133216C2312yes—
313#13133216C2312yes—
314#13133216C2312yes—
315#13133215C2314yes—
316#13133215C2314yes—
317#13133215C2314yes—
318#13133215C2314yes—
319#13133215C2314yes—
320#13133215C2312yes—
321#13133215C2314yes—
322#13133215C2311yescharacteristic
323#13133215C2312yes—
324#13133213C2311yescharacteristic
325#13133212C2314yes—
326#13133212C2314yes—
327#13133212C2314yes—
328#13133212C2314yes—
329#13133212C2314yes—
330#13133212C2314yes—
331#13133212C2314yes—
332#13133212C2314yes—
333#13133212C2314yes—
334#13133212C2314yes—
335#13133212C2314yes—
336#13133212C2314yes—
337#13133212C2314yes—
338#13133212C2314yes—
339#13133212C2314yes—
340#13133212C2314yes—
341#13133212C2312yes—
342#13133211C2314yes—
343#13133211C2314yes—
344#13133211C2314yes—
345#13133211C2314yes—
346#13133211C2312yes—
347#13133210C2314yes—
348#13133210C2314yes—
349#13133210C2314yes—
350#13133210C2314yes—
351#13133210C2314yes—
352#13133210C2314yes—
353#13133210C2314yes—
354#13133210C2314yes—
355#13133210C2312yes—
356#13133209C2314yes—
357#13133209C2314yes—
358#13133209C2312yes—
359#13133209C2312yes—
360#13133209C2312yes—
361#13133209C2312yes—
362#13133209C2311yescharacteristic
363#13133209C2312yes—
364#13133209C2312yes—
365#13133208C2314yes—
366#13133208C2314yes—
367#13133208C2312yes—
368#13133208C2312yes—
369#13133208C2314yes—
370#13133208C2314yes—
371#13133208C2314yes—
372#13133208C2314yes—
373#13133208C2314yes—
374#13133208C2314yes—
375#13133208C2314yes—
376#13133208C2314yes—
377#13133208C2312yes—
378#13133208C2312yes—
379#13133207C2314yes—
380#13133207C2314yes—
381#13133207C2314yes—
382#13133207C2314yes—
383#13133207C2314yes—
384#13133207C2314yes—
385#13133207C2314yes—
386#13133207C2314yes—
387#13133207C2314yes—
388#13133207C2314yes—
389#13133207C2314yes—
390#13133207C2314yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133207C2314yes—
394#13133207C2314yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2314yes—
399#13133207C2314yes—
400#13133207C2314yes—
401#13133207C2314yes—
402#13133207C2314yes—
403#13133207C2314yes—
404#13133207C2314yes—
405#13133207C2314yes—
406#13133207C2314yes—
407#13133207C2314yes—
408#13133207C2312yes—
409#13133207C2312yes—
410#13133207C2314yes—
411#13133206C2314yes—
412#13133205C2314yes—
413#13133205C2311yescharacteristic
414#13133203C2314yes—
415#13133203C2314yes—
416#13133203C2314yes—
417#13133203C2312yes—
418#13133203C2314yes—
419#13133203C2312yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133202C2314yes—
423#13133202C2314yes—
424#13133202C2314yes—
425#13133202C2314yes—
426#13133202C2312yes—
427#13133202C2314yes—
428#13133202C2314yes—
429#13133202C2312yes—
430#13133201C2314yes—
431#13133201C2314yes—
432#13133200C2314yes—
433#13133200C2314yes—
434#13133200C2312yes—
435#13133199C2314yes—
436#13133199C2314yes—
437#13133199C2312yes—
438#13133199C2312yes—
439#13133198C2314yes—
440#13133198C2314yes—
441#13133197C2314yes—
442#13133197C2314yes—
443#13133197C2314yes—
444#13133197C2314yes—
445#13133197C2312yes—
446#13133197C2312yes—
447#13133197C2312yes—
448#13133197C2312yes—
449#13133197C2311yescharacteristic
450#13133196C2314yes—
451#13133196C2314yes—
452#13133196C2312yes—
453#13133196C2312yes—
454#13133196C2312yes—
455#13133196C2312yes—
456#13133196C2311yescharacteristic
457#13133195C2314yes—
458#13133195C2314yes—
459#13133195C2314yes—
460#13133195C2314yes—
461#13133195C2314yes—
462#13133195C2314yes—
463#13133195C2314yes—
464#13133195C2314yes—
465#13133195C2314yes—
466#13133195C2314yes—
467#13133195C2314yes—
468#13133195C2314yes—
469#13133195C2314yes—
470#13133195C2314yes—
471#13133195C2314yes—
472#13133195C2314yes—
473#13133195C2314yes—
474#13133195C2314yes—
475#13133195C2314yes—
476#13133195C2314yes—
477#13133195C2312yes—
478#13133195C2312yes—
479#13133195C2312yes—
480#13133194C2314yes—
481#13133194C2314yes—
482#13133194C2314yes—
483#13133194C2314yes—
484#13133194C2314yes—
485#13133194C2314yes—
486#13133194C2314yes—
487#13133194C2314yes—
488#13133194C2314yes—
489#13133194C2314yes—
490#13133194C2314yes—
491#13133194C2314yes—
492#13133194C2312yes—
493#13133193C2314yes—
494#13133193C2314yes—
495#13133193C2312yes—
496#13133193C2312yes—
497#13133193C2312yes—
498#13133193C2312yes—
499#13133193C2311yescharacteristic
500#13133192C2311yescharacteristic
501#13133191C2311yescharacteristic
502#13133190C2312yes—
503#13133190C2312yes—
504#13133190C2312yes—
505#13133189C2312yes—
506#13133188C2311yescharacteristic
507#13133187C2312yes—
508#13133185C2312yes—
509Q8×Dic53C2314yes—
510Q8×Dic53C2312yes—
511Q8×Dic53C2312yes—
512Q8×Dic53C2312yes—
513Q8×Dic53C2312yes—
514Q8×Dic53C2311yescharacteristic
515C4×Dic106C2314yes—
516C4×Dic106C2314yes—
517C4×Dic106C2314yes—
518C4×Dic106C2314yes—
519C4×Dic106C2314yes—
520C4×Dic106C2314yes—
521C4×Dic106C2312yes—
522C4×Dic106C2314yes—
523C4×Dic106C2312yes—
524C4×Dic106C2312yes—
525C4×Dic106C2314yes—
526C4×Dic106C2314yes—
527C4×Dic106C2314yes—
528C4×Dic106C2314yes—
529C4×Dic106C2314yes—
530C4×Dic106C2314yes—
531C4×Dic106C2314yes—
532C4×Dic106C2314yes—
533C4×Dic106C2312yes—
534C4×Dic106C2311yescharacteristic
535C4×Dic106C2312yes—
536#13133182C2314yes—
537#13133182C2314yes—
538#13133182C2314yes—
539#13133182C2314yes—
540#13133182C2314yes—
541#13133182C2314yes—
542#13133182C2314yes—
543#13133182C2314yes—
544#13133182C2312yes—
545#13133182C2314yes—
546#13133182C2312yes—
547#13133182C2314yes—
548#13133182C2314yes—
549#13133182C2312yes—
550#13133182C2312yes—
551#13133182C2314yes—
552#13133182C2314yes—
553#13133182C2314yes—
554#13133182C2314yes—
555#13133182C2314yes—
556#13133182C2314yes—
557#13133182C2314yes—
558#13133182C2314yes—
559#13133182C2314yes—
560#13133182C2314yes—
561#13133182C2314yes—
562#13133182C2314yes—
563#13133182C2312yes—
564#13133182C2311yescharacteristic
565#13133182C2312yes—
566#13133182C2312yes—
567C4×D212C2314yes—
568C4×D212C2312yes—
569C4×D212C2311yescharacteristic
570D4×Dic53C2312yes—
571D4×Dic53C2314yes—
572D4×Dic53C2311yescharacteristic
573#13133179C2312yes—
574#13133179C2314yes—
575#13133179C2312yes—
576#13133179C2312yes—
577#13133179C2311yescharacteristic
578C4×C22⋊D53C2314yes—
579C4×C22⋊D53C2314yes—
580C4×C22⋊D53C2314yes—
581C4×C22⋊D53C2314yes—
582C4×C22⋊D53C2312yes—
583C4×C22⋊D53C2312yes—
584C4×C22⋊D53C2312yes—
585#13133177C2312yes—
586#13133177C2312yes—
587#13133177C2314yes—
588#13133177C2314yes—
589#13133177C2312yes—
590#13133177C2312yes—
591#13133177C2314yes—
592#13133177C2314yes—
593#13133177C2312yes—
594#13133177C2312yes—
595#13133177C2312yes—
596#13133176C2314yes—
597#13133176C2314yes—
598#13133176C2312yes—
599#13133176C2312yes—
600#13133175C2314yes—
601#13133175C2314yes—
602#13133175C2312yes—
603#13133175C2314yes—
604#13133175C2314yes—
605#13133175C2312yes—
606#13133175C2312yes—
607#13133175C2312yes—
608#13133175C2312yes—
609#13133175C2312yes—
610#13133175C2312yes—
611#13133175C2312yes—
612#13133175C2312yes—
613#13133175C2312yes—
614#13133175C2312yes—
615#13133175C2312yes—
616#13133175C2311yescharacteristic
617#13133175C2312yes—
618#13133175C2312yes—
619#13133175C2311yescharacteristic
620#13133174C2314yes—
621#13133174C2314yes—
622#13133174C2314yes—
623#13133174C2314yes—
624#13133174C2314yes—
625#13133174C2314yes—
626#13133174C2314yes—
627#13133174C2312yes—
628#13133174C2312yes—
629#13133173C2314yes—
630#13133173C2314yes—
631#13133173C2314yes—
632#13133173C2314yes—
633#13133173C2314yes—
634#13133173C2314yes—
635#13133173C2314yes—
636#13133173C2312yes—
637#13133173C2312yes—
638#13133173C2312yes—
639C2×C4⋊Dic53C2311yescharacteristic
640C2×C4⋊Dic53C2312yes—
641C2×C4⋊Dic53C2311yescharacteristic
642C2×#11719919C2312yes—
643C2×#11719919C2312yes—
644C2×#11719919C2314yes—
645C2×#11719919C2312yes—
646C2×#11719919C2312yes—
647C4⋊C4×D53C2312yes—
648C4⋊C4×D53C2312yes—
649C4⋊C4×D53C2314yes—
650C4⋊C4×D53C2314yes—
651C4⋊C4×D53C2312yes—
652C4⋊C4×D53C2312yes—
653C4⋊C4×D53C2312yes—
654C4⋊C4×D53C2312yes—
655C4⋊C4×D53C2314yes—
656C2×#11719921C2312yes—
657C2×#11719921C2312yes—
658C22⋊C4×D53C2314yes—
659C2×C4×Dic53C2311yescharacteristic
660C2×C4×Dic53C2311yescharacteristic
661C2×C4×Dic53C2311yescharacteristic
662C2×C4×Dic53C2312yes—
663C2×C4×Dic53C2312yes—
664C2×C4×Dic53C2312yes—
665C42×D53C2311yescharacteristic
666C42×D53C2311yescharacteristic
667C42×D53C2311yescharacteristic
668C42×D53C2311yescharacteristic
669C42×D53C2311yescharacteristic
670C42×D53C2311yescharacteristic
671C42×D53C2311yescharacteristic
672C42×D53C2311yescharacteristic
673C42×D53C2314yes—
674C42×D53C2312yes—
675C4⋊Q8×C53C2314yes—
676C4⋊Q8×C53C2311yescharacteristic
677C4⋊Q8×C53C2311yescharacteristic
678C4⋊Q8×C53C2314yes—
679C4⋊Q8×C53C2312yes—
680#126×C53C2312yes—
681#126×C53C2314yes—
682#126×C53C2314yes—
683#126×C53C2314yes—
684#126×C53C2314yes—
685#125×C53C2314yes—
686#125×C53C2314yes—
687#125×C53C2314yes—
688#125×C53C2314yes—
689#125×C53C2314yes—
690#125×C53C2312yes—
691#125×C53C2312yes—
692#125×C53C2312yes—
693#125×C53C2312yes—
694#125×C53C2311yescharacteristic
695#125×C53C2314yes—
696#125×C53C2312yes—
697#125×C53C2312yes—
698#125×C53C2314yes—
699#125×C53C2314yes—
700#124×C53C2311yescharacteristic
701#123×C53C2314yes—
702#123×C53C2312yes—
703#123×C53C2314yes—
704C22⋊Q8×C53C2314yes—
705C22⋊Q8×C53C2314yes—
706C22⋊Q8×C53C2314yes—
707C22⋊Q8×C53C2314yes—
708C22⋊Q8×C53C2311yescharacteristic
709C22⋊Q8×C53C2312yes—
710C22⋊Q8×C53C2312yes—
711C22⋊Q8×C53C2312yes—
712C22⋊Q8×C53C2312yes—
713#121×C53C2311yescharacteristic
714C4×Q8×C53C2311yescharacteristic
715C4×Q8×C53C2312yes—
716C4×Q8×C53C2312yes—
717C4×Q8×C53C2312yes—
718C4×Q8×C53C2314yes—
719C4×Q8×C53C2312yes—
720C4×D4×C53C2314yes—
721C4×D4×C53C2312yes—
722C4×D4×C53C2311yescharacteristic
723#117×C53C2314yes—
724#117×C53C2312yes—
725#117×C53C2314yes—
726#117×C53C2312yes—
727#117×C53C2312yes—
728C2×C4⋊C4×C53C2311yescharacteristic
729C2×C4⋊C4×C53C2312yes—
730C2×C4⋊C4×C53C2312yes—
731C2×C4⋊C4×C53C2311yescharacteristic
732C2×C4⋊C4×C53C2312yes—
733C2×C42×C53C2311yescharacteristic
734C23×D53C2411yescharacteristic
735C2×Q8×C53C2412yes—
736C2×Q8×C53C2412yes—
737C2×Q8×C53C2414yes—
738C2×Q8×C53C2411yescharacteristic
739C2×D4×C53C2412yes—
740C2×D4×C53C2411yescharacteristic
741C22×C4×C53C2411yescharacteristic
742C22×C4×C53C2411yescharacteristic
743C22×C4×C53C2412yes—
744C22×C4×C53C2412yes—
745C22×C4×C53C2411yescharacteristic
746C22×C4×C53C2412yes—
747C22×C4×C53C2414yes—
748C2×C22⋊D53C2412yes—
749C2×C22⋊D53C2412yes—
750C2×C22⋊D53C2412yes—
751C2×C22⋊D53C2412yes—
752C2×C22⋊D53C2412yes—
753C22×Dic53C2411yescharacteristic
754C22×Dic53C2411yescharacteristic
755C22×Dic53C2412yes—
756C22×Dic53C2412yes—
757C22×Dic53C2412yes—
758C22×Dic53C2412yes—
759C22×Dic53C2414yes—
760C22×Dic53C2411yescharacteristic
761#11719949—42no—
762Q8×D53—28no—
763Q8×D53—48no—
764Q8×D53—44no—
765#11719947—28no—
766#11719947—42no—
767#11719945—28no—
768C2×D212C2412yes—
769C2×D212C2412yes—
770C2×D212C2411yescharacteristic
771C2×C4×D53—24no—
772C2×C4×D53—24no—
773C2×C4×D53—42no—
774C2×C4×D53C2411yescharacteristic
775C2×C4×D53C2411yescharacteristic
776C2×C4×D53C2411yescharacteristic
777C2×C4×D53C2411yescharacteristic
778C2×C4×D53C2411yescharacteristic
779C2×C4×D53C2411yescharacteristic
780C2×C4×D53C2411yescharacteristic
781C2×C4×D53C2411yescharacteristic
782C2×C4×D53C2411yescharacteristic
783C2×C4×D53C2414yes—
784C2×C4×D53C2412yes—
785C2×C4×D53C2412yes—
786C2×C4×D53C2412yes—
787C2×C4×D53C2411yescharacteristic
788C2×C4×D53C2411yescharacteristic
789C2×C4×D53C2414yes—
790C2×C4×D53C2414yes—
791C2×C4×D53C2414yes—
792C2×C4×D53C2411yescharacteristic
793C2×Dic106—28no—
794C2×Dic106—44no—
795C2×Dic106—48no—
796C2×Dic106C2414yes—
797C2×Dic106C2412yes—
798C2×Dic106C2414yes—
799C2×Dic106C2414yes—
800C2×Dic106C2412yes—
801C2×Dic106C2412yes—
802C2×Dic106C2414yes—
803C2×Dic106C2414yes—
804C2×Dic106C2414yes—
805C2×Dic106C2414yes—
806C2×Dic106C2414yes—
807C2×Dic106C2412yes—
808C2×Dic106C2411yescharacteristic
809C2×Dic106C2414yes—
810C4⋊C4×C53C2412yes—
811C4⋊C4×C53C2412yes—
812C4⋊C4×C53C2412yes—
813C4⋊C4×C53C2414yes—
814C4⋊C4×C53C2412yes—
815C4⋊C4×C53C2414yes—
816C4⋊C4×C53C2414yes—
817C4⋊C4×C53C2414yes—
818C4⋊C4×C53C2414yes—
819C4⋊C4×C53C2412yes—
820C4⋊C4×C53C2414yes—
821C4⋊C4×C53C2412yes—
822C4⋊C4×C53C2414yes—
823C4⋊C4×C53C2412yes—
824C4⋊C4×C53C2414yes—
825C4⋊C4×C53C2412yes—
826C4⋊C4×C53C2412yes—
827C4⋊C4×C53C2411yescharacteristic
828C4⋊C4×C53C2414yes—
829C4⋊C4×C53C2412yes—
830C4⋊C4×C53C2412yes—
831C4⋊C4×C53C2411yescharacteristic
832C4⋊C4×C53C2414yes—
833C4⋊C4×C53C2414yes—
834C4⋊C4×C53C2414yes—
835C4⋊C4×C53C2414yes—
836C4⋊C4×C53C2412yes—
837C4⋊C4×C53C2414yes—
838C22⋊C4×C53C2414yes—
839C22⋊C4×C53C2412yes—
840C22⋊C4×C53C2412yes—
841C22⋊C4×C53C2412yes—
842C22⋊C4×C53C2414yes—
843C22⋊C4×C53C2412yes—
844C22⋊C4×C53C2414yes—
845C22⋊C4×C53C2414yes—
846C22⋊C4×C53C2412yes—
847C42×C53C2411yescharacteristic
848C42×C53C2411yescharacteristic
849C42×C53C2411yescharacteristic
850C42×C53C2411yescharacteristic
851C42×C53C2414yes—
852C42×C53C2414yes—
853C42×C53C2412yes—
854C42×C53C2414yes—
855C42×C53C2414yes—
856C22⋊Dic53C2414yes—
857C22⋊Dic53C2412yes—
858C22⋊Dic53C2412yes—
859C22⋊Dic53C2414yes—
860C22⋊Dic53C2412yes—
861C22⋊Dic53C2414yes—
862C22⋊Dic53C2414yes—
863#11719921C2414yes—
864#11719921C2414yes—
865#11719921C2414yes—
866#11719921C2414yes—
867#11719921C2414yes—
868#11719921C2414yes—
869#11719921C2412yes—
870#11719921C2412yes—
871#11719921C2414yes—
872#11719921C2412yes—
873#11719921C2412yes—
874#11719921C2414yes—
875#11719921C2414yes—
876#11719921C2412yes—
877#11719921C2412yes—
878#11719921C2414yes—
879#11719921C2412yes—
880#11719921C2412yes—
881#11719921C2412yes—
882#11719921C2414yes—
883#11719921C2414yes—
884#11719921C2412yes—
885C4⋊Dic53C2412yes—
886C4⋊Dic53C2412yes—
887C4⋊Dic53C2414yes—
888C4⋊Dic53C2412yes—
889C4⋊Dic53C2412yes—
890C4⋊Dic53C2414yes—
891C4⋊Dic53C2412yes—
892C4⋊Dic53C2414yes—
893C4⋊Dic53C2412yes—
894C4⋊Dic53C2412yes—
895C4⋊Dic53C2412yes—
896C4⋊Dic53C2414yes—
897C4⋊Dic53C2411yescharacteristic
898C4⋊Dic53C2412yes—
899C4⋊Dic53C2412yes—
900C4⋊Dic53C2411yescharacteristic
901C4⋊Dic53C2414yes—
902C4⋊Dic53C2414yes—
903C4⋊Dic53C2414yes—
904C4⋊Dic53C2414yes—
905C4⋊Dic53C2414yes—
906C4⋊Dic53C2414yes—
907#11719919C2414yes—
908#11719919C2414yes—
909#11719919C2414yes—
910#11719919C2414yes—
911#11719919C2414yes—
912#11719919C2414yes—
913#11719919C2414yes—
914#11719919C2414yes—
915#11719919C2414yes—
916#11719919C2414yes—
917#11719919C2414yes—
918#11719919C2414yes—
919#11719919C2414yes—
920#11719919C2414yes—
921#11719919C2414yes—
922#11719919C2414yes—
923#11719919C2414yes—
924#11719919C2414yes—
925#11719919C2414yes—
926#11719919C2414yes—
927#11719919C2412yes—
928#11719919C2412yes—
929#11719919C2412yes—
930#11719919C2412yes—
931#11719919C2412yes—
932#11719919C2412yes—
933#11719919C2414yes—
934#11719919C2414yes—
935#11719919C2414yes—
936#11719919C2414yes—
937#11719919C2414yes—
938#11719919C2414yes—
939#11719919C2412yes—
940#11719919C2412yes—
941#11719919C2412yes—
942#11719919C2412yes—
943#11719919C2414yes—
944#11719919C2414yes—
945#11719919C2414yes—
946#11719919C2414yes—
947#11719919C2414yes—
948#11719919C2414yes—
949C4×Dic53C2411yescharacteristic
950C4×Dic53C2411yescharacteristic
951C4×Dic53C2411yescharacteristic
952C4×Dic53C2411yescharacteristic
953C4×Dic53C2411yescharacteristic
954C4×Dic53C2411yescharacteristic
955C4×Dic53C2411yescharacteristic
956C4×Dic53C2411yescharacteristic
957C4×Dic53C2411yescharacteristic
958C4×Dic53C2411yescharacteristic
959C4×Dic53C2411yescharacteristic
960C4×Dic53C2411yescharacteristic
961C4×Dic53C2412yes—
962C4×Dic53C2414yes—
963C4×Dic53C2414yes—
964C4×Dic53C2414yes—
965C4×Dic53C2412yes—
966C4×Dic53C2414yes—
967C4×Dic53C2412yes—
968C4×Dic53C2412yes—
969C4×Dic53C2412yes—
970C4×Dic53C2414yes—
971C4×Dic53C2414yes—
972C4×Dic53C2414yes—
973C4×Dic53C2414yes—
974C4×Dic53C2414yes—
975C4×Dic53C2414yes—
976C4×Dic53C2414yes—
977C4×Dic53C2414yes—
978C4×Dic53C2414yes—
979C4×Dic53C2414yes—
980C4×Dic53C2414yes—
981C4×Dic53C2414yes—
982C23×C53C2512yes—
983C23×C53C2511yescharacteristic
984C22×D53—22no—
985C22×D53—22no—
986C22×D53—41no—
987C22×D53C2512yes—
988C22×D53C2511yescharacteristic
989C22×D53C2511yescharacteristic
990Q8×C53—24no—
991Q8×C53—44no—
992Q8×C53—42no—
993Q8×C53—41no—
994D4×C53—24no—
995D4×C53—41no—
996C2×C4×C53—24no—
997C2×C4×C53—22no—
998C2×C4×C53—22no—
999C2×C4×C53—24no—
1000C2×C4×C53—42no—
1001C2×C4×C53—44no—
1002C2×C4×C53—41no—
1003C2×C4×C53C2514yes—
1004C2×C4×C53C2514yes—
1005C2×C4×C53C2511yescharacteristic
1006C2×C4×C53C2512yes—
1007C2×C4×C53C2514yes—
1008C2×C4×C53C2511yescharacteristic
1009C2×C4×C53C2512yes—
1010C2×C4×C53C2514yes—
1011C2×C4×C53C2512yes—
1012C2×C4×C53C2511yescharacteristic
1013C2×C4×C53C2511yescharacteristic
1014C2×C4×C53C2511yescharacteristic
1015C2×C4×C53C2511yescharacteristic
1016C22⋊D53—24no—
1017C22⋊D53—24no—
1018C22⋊D53—24no—
1019C22⋊D53—24no—
1020C22⋊D53—42no—
1021C2×Dic53—24no—
1022C2×Dic53—22no—
1023C2×Dic53—24no—
1024C2×Dic53—22no—
1025C2×Dic53—24no—
1026C2×Dic53—44no—
1027C2×Dic53—42no—
1028C2×Dic532−1+414yes—
1029C2×Dic53C2512yes—
1030C2×Dic53C2514yes—
1031C2×Dic53C2511yescharacteristic
1032C2×Dic53C2514yes—
1033C2×Dic53C2514yes—
1034C2×Dic53C2514yes—
1035C2×Dic53C2512yes—
1036C2×Dic53C2512yes—
1037C2×Dic53C2511yescharacteristic
1038C2×Dic53C2511yescharacteristic
1039C2×Dic53C2511yescharacteristic
1040C2×Dic53C2511yescharacteristic
1041C2×Dic53C2511yescharacteristic
1042D212—24no—
1043D212—42no—
1044D212—41no—
1045C4×D53—22no—
1046C4×D53—28no—
1047C4×D53—22no—
1048C4×D53—24no—
1049C4×D53—22no—
1050C4×D53—22no—
1051C4×D53—22no—
1052C4×D53—22no—
1053C4×D53—22no—
1054C4×D53—24no—
1055C4×D53—22no—
1056C4×D53—22no—
1057C4×D53—24no—
1058C4×D53—41no—
1059C4×D53—41no—
1060C4×D53—44no—
1061C4×D53—44no—
1062C4×D53—44no—
1063C4×D532−1+414yes—
1064Dic106—24no—
1065Dic106—28no—
1066Dic106—28no—
1067Dic106—24no—
1068Dic106—24no—
1069Dic106—28no—
1070Dic106—28no—
1071Dic106—28no—
1072Dic106—44no—
1073Dic106—44no—
1074Dic106—44no—
1075Dic106—41no—
1076Dic106—42no—
1077Dic106—44no—
1078#62837—531nomaximal, Sylow
1079C22×C53—21no—
1080C22×C53—21no—
1081C22×C53—22no—
1082C22×C53—22no—
1083C22×C53—22no—
1084C22×C53C2×2−1+412yes—
1085C22×C53C2611yescharacteristic
1086C2×D53—21no—
1087C2×D53—21no—
1088C2×D53—21no—
1089C2×D53—21no—
1090C2×D53—22no—
1091C2×D53—22no—
1092C2×D53—22no—
1093C2×D53—21no—
1094C2×D53—44no—
1095C2×D53C2×2−1+412yes—
1096C4×C53—24no—
1097C4×C53—22no—
1098C4×C53—24no—
1099C4×C53—22no—
1100C4×C53—21no—
1101C4×C53—21no—
1102C4×C53—21no—
1103C4×C53—24no—
1104C4×C53—24no—
1105C4×C53—21no—
1106C4×C53—22no—
1107C4×C53—21no—
1108C4×C53C2×2−1+412yes—
1109Dic53—24no—
1110Dic53—24no—
1111Dic53—22no—
1112Dic53—22no—
1113Dic53—21no—
1114Dic53—24no—
1115Dic53—24no—
1116Dic53—22no—
1117Dic53—21no—
1118Dic53C2×2−1+412yes—
1119Dic53C2×2−1+412yes—
1120Dic53C2×2−1+412yes—
1121Dic53#58512yes—
1122#3563—532no—
1123#3563—532no—
1124#3563—531no—
1125#3563—531no—
1126#3563—531no—
1127#3563D5311yescharacteristic, complemented
1128#3556—532no—
1129#3555—532no—
1130#3555—532no—
1131#3555—534no—
1132#3550—532no—
1133#3538—532no—
1134#3538—532no—
1135#3523—534no—
1136#3523—534no—
1137#3509—532no—
1138#3509—532no—
1139#3509—532no—
1140#3509—532no—
1141#3507—532no—
1142#3507—532no—
1143#3503—532no—
1144#3503—532no—
1145#3502—532no—
1146#3502—532no—
1147#3495—532no—
1148#3495—532no—
1149#3495—534no—
1150#3444—531no—
1151C2×#533—531no—
1152C2×#533—531no—
1153C2×C53—22no—
1154C2×C53—42no—
1155C2×C53C22×2−1+411yescharacteristic
1156C2×C53C22×2−1+411yescharacteristic
1157C2×C53C2×#58511yescharacteristic
1158D53—22no—
1159D53—42no—
1160D53—41no—
1161#564—532no—
1162#564—532no—
1163#564—532no—
1164#564C2×D5312yescomplemented
1165#563—534no—
1166#563—534no—
1167#563—534no—
1168#563—532no—
1169#563—532no—
1170#563—532no—
1171#563—534no—
1172#563C2×D5312yescomplemented
1173#559—534no—
1174Q82—534no—
1175Q82—534no—
1176Q82—532no—
1177Q82—532no—
1178#557—534no—
1179#557—534no—
1180#557—534no—
1181#557—534no—
1182#557—534no—
1183#557—532no—
1184#557—534no—
1185#557—532no—
1186#557—534no—
1187#557—534no—
1188#557—534no—
1189#557—534no—
1190#557—534no—
1191#557—534no—
1192#557—532no—
1193#557—532no—
1194#557—532no—
1195#557—534no—
1196#557C2×D5312yescomplemented
1197#556—532no—
1198#556—534no—
1199#556—534no—
1200#556—534no—
1201#556—534no—
1202#556—534no—
1203#556—534no—
1204#556—532no—
1205#556—532no—
1206#556—534no—
1207#556—534no—
1208#556—532no—
1209#556—532no—
1210#556—532no—
1211#556—534no—
1212#554—534no—
1213#554—534no—
1214#554—534no—
1215#554—532no—
1216#554—532no—
1217#554—532no—
1218#554—532no—
1219#554—532no—
1220#554C2×D5312yes—
1221#552—534no—
1222#552—534no—
1223#552—534no—
1224#552—534no—
1225#552—534no—
1226#552—534no—
1227#552—534no—
1228#552—534no—
1229#552—532no—
1230#552—534no—
1231#552—532no—
1232#552—534no—
1233#552—534no—
1234#552—534no—
1235#552—534no—
1236#552—532no—
1237#552—532no—
1238#552—532no—
1239#552—532no—
1240#552—532no—
1241#552—532no—
1242#552—534no—
1243#552—534no—
1244#552—534no—
1245#552—532no—
1246#552—532no—
1247#552—534no—
1248#552C2×D5312yes—
1249#552C2×D5314yes—
1250#552C2×D5312yescomplemented
1251#551—534no—
1252#551—534no—
1253#551—534no—
1254#551—534no—
1255D4×Q8—534no—
1256D4×Q8—534no—
1257D4×Q8—534no—
1258D4×Q8—534no—
1259D4×Q8—534no—
1260D4×Q8—534no—
1261#544—532no—
1262#544—534no—
1263#544—532no—
1264#544—532no—
1265#544—534no—
1266#544—534no—
1267#544—532no—
1268#544—534no—
1269#544—532no—
1270#544—532no—
1271#544—534no—
1272#544—532no—
1273#544—532no—
1274#544C2×D5312yes—
1275#544C2×D5312yescomplemented
1276#542—534no—
1277#542—534no—
1278#542—534no—
1279#542—534no—
1280#541—532no—
1281#541—534no—
1282#541—534no—
1283#541—534no—
1284#541—534no—
1285#541—534no—
1286#541—534no—
1287#541—534no—
1288#541—534no—
1289#541—534no—
1290#541—534no—
1291#541—534no—
1292#541—534no—
1293#541—532no—
1294#541—534no—
1295#541—534no—
1296#541—534no—
1297#541—534no—
1298#541—534no—
1299#541—532no—
1300#541C2×D5312yescomplemented
1301#541C2×D5314yescomplemented
1302#539—534no—
1303#539—534no—
1304#539—532no—
1305#539—532no—
1306#539—532no—
1307#539C2×D5312yes—
1308#536—534no—
1309#536—534no—
1310#536—534no—
1311#536—532no—
1312#536—532no—
1313#533—531no—
1314#533—531no—
1315#533—532no—
1316#533—532no—
1317#533—532no—
1318#533—532no—
1319#533—532no—
1320#533—532no—
1321#533—532no—
1322#533—532no—
1323#533—532no—
1324#533—531no—
1325#533—534no—
1326#533—532no—
1327#533—532no—
1328#533—532no—
1329#533—531no—
1330#533—534no—
1331#533—532no—
1332#533—532no—
1333#533—532no—
1334#533—532no—
1335#533—531no—
1336#533—534no—
1337#533—532no—
1338#533—532no—
1339#533—532no—
1340#533—534no—
1341#533—532no—
1342#533—531no—
1343#533C2×D5311yescharacteristic
1344#532—531no—
1345#532—531no—
1346#532—531no—
1347C2×C4⋊Q8—531no—
1348C2×C4⋊Q8—531no—
1349C2×C4⋊Q8—532no—
1350C2×C4⋊Q8—531no—
1351C2×C4⋊Q8—531no—
1352C2×C4⋊Q8—532no—
1353#529—532no—
1354#529—532no—
1355#529—534no—
1356#529—531no—
1357#529—531no—
1358#529—532no—
1359#529—534no—
1360#529—534no—
1361#529—532no—
1362#529—534no—
1363#529—531no—
1364#529C2×D5311yescharacteristic
1365C2×#125—532no—
1366C2×#125—531no—
1367C2×#125C2×D5311yescharacteristic
1368#525—532no—
1369#525—531no—
1370#525—531no—
1371#525—532no—
1372C2×C22⋊Q8—532no—
1373C2×C22⋊Q8—532no—
1374C2×C22⋊Q8—532no—
1375C2×C22⋊Q8—532no—
1376#520—534no—
1377#520—532no—
1378#520—532no—
1379#519—532no—
1380#519—532no—
1381#519—534no—
1382#519—534no—
1383#519—534no—
1384C4×#41—531no—
1385C4×#41—532no—
1386C4×#41—531no—
1387C4×#41—532no—
1388C2×C4×Q8—532no—
1389C2×C4×Q8—532no—
1390C2×C4×Q8—532no—
1391C2×C4×Q8—532no—
1392C2×#117—532no—
1393C2×#117—531no—
1394C2×#117—531no—
1395C22×C42—531no—
1396C53#6283711yescharacteristic, complemented, Sylow
1397C2×#41—531no—
1398C2×#41—532no—
1399C2×#41—531no—
1400C2×#41—532no—
1401C22×Q8—532no—
1402C22×Q8—532no—
1403C22×Q8—534no—
1404C22×Q8—532no—
1405C22×Q8—532no—
1406C22×Q8—534no—
1407C23×C4—531no—
1408C23×C4—531no—
1409C23×C4—531no—
1410C4⋊Q8—532no—
1411C4⋊Q8—532no—
1412C4⋊Q8—534no—
1413C4⋊Q8—531no—
1414C4⋊Q8—534no—
1415C4⋊Q8—534no—
1416C4⋊Q8—534no—
1417C4⋊Q8—534no—
1418C4⋊Q8—534no—
1419C4⋊Q8—532no—
1420C4⋊Q8—532no—
1421C4⋊Q8—532no—
1422C4⋊Q8—532no—
1423C4⋊Q8—532no—
1424C4⋊Q8—532no—
1425C4⋊Q8—532no—
1426C4⋊Q8—532no—
1427C4⋊Q8—532no—
1428C4⋊Q8—532no—
1429C4⋊Q8—532no—
1430C4⋊Q8—532no—
1431C4⋊Q8—534no—
1432C4⋊Q8—534no—
1433C4⋊Q8—534no—
1434C4⋊Q8—532no—
1435C4⋊Q8—532no—
1436C4⋊Q8—531no—
1437C4⋊Q8—531no—
1438C4⋊Q8—534no—
1439C4⋊Q8—534no—
1440C4⋊Q8—534no—
1441C4⋊Q8—534no—
1442C4⋊Q8—534no—
1443C4⋊Q8—534no—
1444C4⋊Q8—534no—
1445C4⋊Q8—534no—
1446C4⋊Q8—534no—
1447C4⋊Q8—534no—
1448C4⋊Q8—534no—
1449C4⋊Q8—534no—
1450C4⋊Q8—531no—
1451C4⋊Q8—531no—
1452C4⋊Q8—532no—
1453C4⋊Q8—534no—
1454C4⋊Q8C22×D5311yescharacteristic
1455C4⋊Q8C22×D5311yescharacteristic
1456C4⋊Q8C22×D5312yes—
1457C4⋊Q8C22×D5314yes—
1458C4⋊Q8C22×D5314yes—
1459#127—531no—
1460#126—532no—
1461#126—534no—
1462#126—534no—
1463#126—534no—
1464#126—534no—
1465#126—534no—
1466#126—534no—
1467#126—534no—
1468#126—534no—
1469#126—534no—
1470#126—534no—
1471#126—534no—
1472#126—534no—
1473#126—534no—
1474#126—534no—
1475#126—534no—
1476#126—534no—
1477#126—532no—
1478#126—534no—
1479#126—534no—
1480#126—534no—
1481#126—534no—
1482#126—534no—
1483#126—534no—
1484#126—534no—
1485#126—534no—
1486#126—532no—
1487#126—534no—
1488#126—534no—
1489#126—534no—
1490#126—534no—
1491#126C22×D5312yes—
1492#126C22×D5314yes—
1493#126C22×D5314yes—
1494#126C22×D5314yes—
1495#126C22×D5314yes—
1496#125—532no—
1497#125—532no—
1498#125—534no—
1499#125—534no—
1500#125—532no—
1501#125—532no—
1502#125—534no—
1503#125—534no—
1504#125—534no—
1505#125—534no—
1506#125—534no—
1507#125—534no—
1508#125—534no—
1509#125—534no—
1510#125—534no—
1511#125—534no—
1512#125—534no—
1513#125—534no—
1514#125—534no—
1515#125—534no—
1516#125—532no—
1517#125—532no—
1518#125—534no—
1519#125—534no—
1520#125—534no—
1521#125—534no—
1522#125—534no—
1523#125—534no—
1524#125—534no—
1525#125—534no—
1526#125—534no—
1527#125—534no—
1528#125—534no—
1529#125—534no—
1530#125—534no—
1531#125—534no—
1532#125—534no—
1533#125—534no—
1534#125—534no—
1535#125—534no—
1536#125—534no—
1537#125—534no—
1538#125—534no—
1539#125—534no—
1540#125—534no—
1541#125—534no—
1542#125—532no—
1543#125—532no—
1544#125—532no—
1545#125—532no—
1546#125—532no—
1547#125—531no—
1548#125—534no—
1549#125—532no—
1550#125—534no—
1551#125C22×D5312yes—
1552#125C22×D5312yes—
1553#125C22×D5312yes—
1554#125C22×D5312yes—
1555#125C22×D5312yes—
1556#125C22×D5311yescharacteristic
1557#125C22×D5314yes—
1558#125C22×D5312yes—
1559#125C22×D5314yes—
1560#125C22×D5314yes—
1561#125C22×D5314yes—
1562#125C22×D5314yes—
1563#125C22×D5314yes—
1564#125C22×D5314yes—
1565#125C22×D5314yes—
1566#124—534no—
1567#124—532no—
1568#124—532no—
1569#124—534no—
1570#124—534no—
1571#124—534no—
1572#124—534no—
1573#124—534no—
1574#124—534no—
1575#124—531no—
1576#124—534no—
1577#124C22×D5311yescharacteristic
1578#123—534no—
1579#123—534no—
1580#123—532no—
1581#123—534no—
1582#123—534no—
1583#123—532no—
1584#123—532no—
1585#123—534no—
1586#123—534no—
1587#123—534no—
1588#123—534no—
1589#123—534no—
1590#123—534no—
1591#123—532no—
1592#123—532no—
1593#123—534no—
1594#123—534no—
1595#123—534no—
1596#123—534no—
1597#123C22×D5312yes—
1598#123C22×D5314yes—
1599#123C22×D5314yes—
1600C22⋊Q8—532no—
1601C22⋊Q8—532no—
1602C22⋊Q8—531no—
1603C22⋊Q8—532no—
1604C22⋊Q8—532no—
1605C22⋊Q8—534no—
1606C22⋊Q8—534no—
1607C22⋊Q8—532no—
1608C22⋊Q8—532no—
1609C22⋊Q8—531no—
1610C22⋊Q8—532no—
1611C22⋊Q8—532no—
1612C22⋊Q8—534no—
1613C22⋊Q8—534no—
1614C22⋊Q8—534no—
1615C22⋊Q8—534no—
1616C22⋊Q8—534no—
1617C22⋊Q8—534no—
1618C22⋊Q8—534no—
1619C22⋊Q8—534no—
1620C22⋊Q8—534no—
1621C22⋊Q8—534no—
1622C22⋊Q8—534no—
1623C22⋊Q8—532no—
1624C22⋊Q8—534no—
1625C22⋊Q8—532no—
1626C22⋊Q8—532no—
1627C22⋊Q8—532no—
1628C22⋊Q8—532no—
1629C22⋊Q8—531no—
1630C22⋊Q8—534no—
1631C22⋊Q8—534no—
1632C22⋊Q8—534no—
1633C22⋊Q8—532no—
1634C22⋊Q8—534no—
1635C22⋊Q8—532no—
1636C22⋊Q8—534no—
1637C22⋊Q8—534no—
1638C22⋊Q8—534no—
1639C22⋊Q8—534no—
1640C22⋊Q8—534no—
1641C22⋊Q8—534no—
1642C22⋊Q8—534no—
1643C22⋊Q8—534no—
1644C22⋊Q8—534no—
1645C22⋊Q8—534no—
1646C22⋊Q8—534no—
1647C22⋊Q8—534no—
1648C22⋊Q8—532no—
1649C22⋊Q8—534no—
1650C22⋊Q8—534no—
1651C22⋊Q8—534no—
1652C22⋊Q8—534no—
1653C22⋊Q8—534no—
1654C22⋊Q8—534no—
1655C22⋊Q8—534no—
1656C22⋊Q8—534no—
1657C22⋊Q8—534no—
1658C22⋊Q8—534no—
1659C22⋊Q8C22×D5312yes—
1660C22⋊Q8C22×D5312yes—
1661C22⋊Q8C22×D5311yescharacteristic
1662C22⋊Q8C22×D5312yes—
1663C22⋊Q8C22×D5312yes—
1664C22⋊Q8C22×D5314yes—
1665C22⋊Q8C22×D5314yes—
1666C22⋊Q8C22×D5314yes—
1667C22⋊Q8C22×D5314yes—
1668#121—532no—
1669#121—531no—
1670#121—531no—
1671#121—531no—
1672#121—532no—
1673#121—532no—
1674#121—532no—
1675#121C22×D5311yescharacteristic
1676#120—532no—
1677#120—532no—
1678C4×Q8—532no—
1679C4×Q8—532no—
1680C4×Q8—531no—
1681C4×Q8—532no—
1682C4×Q8—534no—
1683C4×Q8—532no—
1684C4×Q8—534no—
1685C4×Q8—534no—
1686C4×Q8—534no—
1687C4×Q8—534no—
1688C4×Q8—534no—
1689C4×Q8—534no—
1690C4×Q8—532no—
1691C4×Q8—534no—
1692C4×Q8—532no—
1693C4×Q8—534no—
1694C4×Q8—534no—
1695C4×Q8—534no—
1696C4×Q8—531no—
1697C4×Q8—532no—
1698C4×Q8—532no—
1699C4×Q8—532no—
1700C4×Q8—534no—
1701C4×Q8—534no—
1702C4×Q8—534no—
1703C4×Q8—534no—
1704C4×Q8—534no—
1705C4×Q8—532no—
1706C4×Q8—534no—
1707C4×Q8—534no—
1708C4×Q8—534no—
1709C4×Q8—534no—
1710C4×Q8—532no—
1711C4×Q8—534no—
1712C4×Q8—534no—
1713C4×Q8—534no—
1714C4×Q8—534no—
1715C4×Q8—534no—
1716C4×Q8—532no—
1717C4×Q8—532no—
1718C4×Q8—534no—
1719C4×Q8—531no—
1720C4×Q8—532no—
1721C4×Q8—534no—
1722C4×Q8—534no—
1723C4×Q8—534no—
1724C4×Q8—534no—
1725C4×Q8—534no—
1726C4×Q8—532no—
1727C4×Q8—534no—
1728C4×Q8—534no—
1729C4×Q8—534no—
1730C4×Q8—534no—
1731C4×Q8—532no—
1732C4×Q8—534no—
1733C4×Q8—534no—
1734C4×Q8—534no—
1735C4×Q8—534no—
1736C4×Q8C22×D5312yes—
1737C4×Q8C22×D5312yes—
1738C4×Q8C22×D5311yescharacteristic
1739C4×Q8C22×D5312yes—
1740C4×Q8C22×D5314yes—
1741C4×Q8C22×D5312yes—
1742C4×D4—532no—
1743C4×D4—531no—
1744C4×D4—534no—
1745C4×D4—532no—
1746C4×D4—532no—
1747C4×D4—532no—
1748C4×D4—534no—
1749C4×D4—534no—
1750C4×D4—534no—
1751C4×D4—534no—
1752C4×D4—532no—
1753C4×D4—532no—
1754C4×D4—532no—
1755C4×D4—531no—
1756C4×D4—534no—
1757C4×D4—532no—
1758C4×D4—532no—
1759C4×D4—532no—
1760C4×D4—532no—
1761C4×D4—532no—
1762C4×D4—532no—
1763C4×D4—532no—
1764C4×D4—534no—
1765C4×D4—534no—
1766C4×D4—534no—
1767C4×D4—534no—
1768C4×D4—532no—
1769C4×D4—531no—
1770C4×D4—534no—
1771C4×D4C22×D5312yes—
1772C4×D4C22×D5311yescharacteristic
1773C4×D4C22×D5314yes—
1774#117—532no—
1775#117—534no—
1776#117—534no—
1777#117—532no—
1778#117—532no—
1779#117—532no—
1780#117—532no—
1781#117—532no—
1782#117—532no—
1783#117—532no—
1784#117—532no—
1785#117—532no—
1786#117—532no—
1787#117—532no—
1788#117—532no—
1789#117—531no—
1790#117—531no—
1791#117—532no—
1792#117—534no—
1793#117—534no—
1794#117—534no—
1795#117—534no—
1796#117—532no—
1797#117—532no—
1798#117—534no—
1799#117—532no—
1800#117—532no—
1801#117—532no—
1802#117—534no—
1803#117—534no—
1804#117—534no—
1805#117—534no—
1806#117—534no—
1807#117—534no—
1808#117—534no—
1809#117—532no—
1810#117—532no—
1811#117—534no—
1812#117—534no—
1813#117—534no—
1814#117—534no—
1815#117—534no—
1816#117—534no—
1817#117C22×D5312yes—
1818#117C22×D5312yes—
1819#117C22×D5314yes—
1820#117C22×D5314yes—
1821#117C22×D5312yes—
1822C2×C4⋊C4—531no—
1823C2×C4⋊C4—531no—
1824C2×C4⋊C4—532no—
1825C2×C4⋊C4—532no—
1826C2×C4⋊C4—532no—
1827C2×C4⋊C4—532no—
1828C2×C4⋊C4—534no—
1829C2×C4⋊C4—532no—
1830C2×C4⋊C4—532no—
1831C2×C4⋊C4—532no—
1832C2×C4⋊C4—532no—
1833C2×C4⋊C4—534no—
1834C2×C4⋊C4—534no—
1835C2×C4⋊C4—532no—
1836C2×C4⋊C4—534no—
1837C2×C4⋊C4—532no—
1838C2×C4⋊C4—532no—
1839C2×C4⋊C4C22×D5311yescharacteristic
1840C2×C4⋊C4C22×D5311yescharacteristic
1841C2×C4⋊C4C22×D5312yes—
1842C2×C4⋊C4C22×D5312yes—
1843C2×C4⋊C4C22×D5312yes—
1844C2×C22⋊C4—532no—
1845C2×C22⋊C4—532no—
1846C2×C22⋊C4—534no—
1847C2×C42—532no—
1848C2×C42—532no—
1849C2×C42—531no—
1850C2×C42—531no—
1851C2×C42—532no—
1852C2×C42—531no—
1853C2×C42—534no—
1854C2×C42—531no—
1855C2×C42—531no—
1856C2×C42—532no—
1857C2×C42—531no—
1858C2×C42—531no—
1859C2×C42—531no—
1860C2×C42—531no—
1861C2×C42—531no—
1862C2×C42—531no—
1863C2×C42C22×D5311yescharacteristic
1864C24—531no—
1865#41—1068no—
1866#41—1068no—
1867#41—2122no—
1868#41—2122no—
1869C2×Q8—534no—
1870C2×Q8—532no—
1871C2×Q8—534no—
1872C2×Q8—534no—
1873C2×Q8—532no—
1874C2×Q8—532no—
1875C2×Q8—534no—
1876C2×Q8—534no—
1877C2×Q8—534no—
1878C2×Q8—532no—
1879C2×Q8—534no—
1880C2×Q8—534no—
1881C2×Q8—534no—
1882C2×Q8—531no—
1883C2×Q8—1068no—
1884C2×Q8—1068no—
1885C2×Q8—2124no—
1886C2×Q8—2128no—
1887C2×Q8—2124no—
1888C2×Q8—2128no—
1889C2×Q8C23×D5312yes—
1890C2×Q8C23×D5312yes—
1891C2×Q8C23×D5314yes—
1892C2×Q8C23×D5311yescharacteristic
1893C2×D4—532no—
1894C2×D4—532no—
1895C2×D4—532no—
1896C2×D4—532no—
1897C2×D4—532no—
1898C2×D4—532no—
1899C2×D4—532no—
1900C2×D4—531no—
1901C2×D4C23×D5312yes—
1902C2×D4C23×D5311yescharacteristic
1903C22×C4—531no—
1904C22×C4—531no—
1905C22×C4—531no—
1906C22×C4—531no—
1907C22×C4—532no—
1908C22×C4—532no—
1909C22×C4—532no—
1910C22×C4—532no—
1911C22×C4—534no—
1912C22×C4—531no—
1913C22×C4—531no—
1914C22×C4—531no—
1915C22×C4—531no—
1916C22×C4—531no—
1917C22×C4—531no—
1918C22×C4—531no—
1919C22×C4—531no—
1920C22×C4—531no—
1921C22×C4—534no—
1922C22×C4—532no—
1923C22×C4—532no—
1924C22×C4—532no—
1925C22×C4—531no—
1926C22×C4—531no—
1927C22×C4—534no—
1928C22×C4—534no—
1929C22×C4—534no—
1930C22×C4—1064no—
1931C22×C4—1064no—
1932C22×C4—2122no—
1933C22×C4C23×D5311yescharacteristic
1934C22×C4C23×D5311yescharacteristic
1935C22×C4C23×D5312yes—
1936C22×C4C23×D5312yes—
1937C22×C4C23×D5311yescharacteristic
1938C22×C4C23×D5312yes—
1939C22×C4C23×D5314yes—
1940C4⋊C4—534no—
1941C4⋊C4—534no—
1942C4⋊C4—532no—
1943C4⋊C4—532no—
1944C4⋊C4—534no—
1945C4⋊C4—532no—
1946C4⋊C4—534no—
1947C4⋊C4—534no—
1948C4⋊C4—534no—
1949C4⋊C4—534no—
1950C4⋊C4—534no—
1951C4⋊C4—532no—
1952C4⋊C4—532no—
1953C4⋊C4—532no—
1954C4⋊C4—532no—
1955C4⋊C4—534no—
1956C4⋊C4—534no—
1957C4⋊C4—534no—
1958C4⋊C4—534no—
1959C4⋊C4—534no—
1960C4⋊C4—534no—
1961C4⋊C4—534no—
1962C4⋊C4—534no—
1963C4⋊C4—534no—
1964C4⋊C4—534no—
1965C4⋊C4—534no—
1966C4⋊C4—534no—
1967C4⋊C4—534no—
1968C4⋊C4—534no—
1969C4⋊C4—534no—
1970C4⋊C4—534no—
1971C4⋊C4—532no—
1972C4⋊C4—532no—
1973C4⋊C4—532no—
1974C4⋊C4—532no—
1975C4⋊C4—532no—
1976C4⋊C4—532no—
1977C4⋊C4—532no—
1978C4⋊C4—532no—
1979C4⋊C4—531no—
1980C4⋊C4—531no—
1981C4⋊C4—532no—
1982C4⋊C4—532no—
1983C4⋊C4—532no—
1984C4⋊C4—532no—
1985C4⋊C4—532no—
1986C4⋊C4—534no—
1987C4⋊C4—534no—
1988C4⋊C4—534no—
1989C4⋊C4—534no—
1990C4⋊C4—534no—
1991C4⋊C4—534no—
1992C4⋊C4—534no—
1993C4⋊C4—534no—
1994C4⋊C4—534no—
1995C4⋊C4—534no—
1996C4⋊C4—534no—
1997C4⋊C4—534no—
1998C4⋊C4—534no—
1999C4⋊C4—534no—
2000C4⋊C4—534no—
2001C4⋊C4—534no—
2002C4⋊C4—534no—
2003C4⋊C4—534no—
2004C4⋊C4C23×D5312yes—
2005C4⋊C4C23×D5312yes—
2006C4⋊C4C23×D5312yes—
2007C4⋊C4C23×D5312yes—
2008C4⋊C4C23×D5314yes—
2009C4⋊C4C23×D5314yes—
2010C4⋊C4C23×D5314yes—
2011C4⋊C4C23×D5312yes—
2012C4⋊C4C23×D5312yes—
2013C4⋊C4C23×D5312yes—
2014C4⋊C4C23×D5312yes—
2015C4⋊C4C23×D5314yes—
2016C4⋊C4C23×D5314yes—
2017C4⋊C4C23×D5314yes—
2018C4⋊C4C23×D5314yes—
2019C4⋊C4C23×D5314yes—
2020C4⋊C4C23×D5312yes—
2021C4⋊C4C23×D5311yescharacteristic
2022C4⋊C4C23×D5311yescharacteristic
2023C4⋊C4C23×D5312yes—
2024C4⋊C4C23×D5314yes—
2025C4⋊C4C23×D5314yes—
2026C4⋊C4C23×D5314yes—
2027C4⋊C4C23×D5312yes—
2028C4⋊C4C23×D5312yes—
2029C4⋊C4C23×D5314yes—
2030C4⋊C4C23×D5314yes—
2031C4⋊C4C23×D5314yes—
2032C22⋊C4—534no—
2033C22⋊C4—532no—
2034C22⋊C4—532no—
2035C22⋊C4—534no—
2036C22⋊C4—532no—
2037C22⋊C4—534no—
2038C22⋊C4—534no—
2039C22⋊C4—534no—
2040C22⋊C4—534no—
2041C22⋊C4—534no—
2042C22⋊C4—534no—
2043C22⋊C4—534no—
2044C22⋊C4—534no—
2045C22⋊C4—532no—
2046C22⋊C4—532no—
2047C22⋊C4—532no—
2048C22⋊C4—532no—
2049C22⋊C4—534no—
2050C22⋊C4—534no—
2051C22⋊C4—532no—
2052C22⋊C4—532no—
2053C22⋊C4—532no—
2054C22⋊C4—532no—
2055C22⋊C4—532no—
2056C22⋊C4—532no—
2057C22⋊C4—534no—
2058C22⋊C4—534no—
2059C22⋊C4—534no—
2060C22⋊C4—534no—
2061C22⋊C4C23×D5314yes—
2062C22⋊C4C23×D5312yes—
2063C22⋊C4C23×D5312yes—
2064C22⋊C4C23×D5314yes—
2065C22⋊C4C23×D5312yes—
2066C22⋊C4C23×D5314yes—
2067C22⋊C4C23×D5312yes—
2068C22⋊C4C23×D5312yes—
2069C22⋊C4C23×D5314yes—
2070C42—531no—
2071C42—531no—
2072C42—531no—
2073C42—531no—
2074C42—531no—
2075C42—531no—
2076C42—531no—
2077C42—531no—
2078C42—531no—
2079C42—531no—
2080C42—531no—
2081C42—531no—
2082C42—534no—
2083C42—534no—
2084C42—534no—
2085C42—532no—
2086C42—532no—
2087C42—532no—
2088C42—532no—
2089C42—532no—
2090C42—534no—
2091C42—534no—
2092C42—534no—
2093C42—534no—
2094C42—534no—
2095C42—534no—
2096C42—534no—
2097C42—534no—
2098C42—534no—
2099C42—534no—
2100C42—534no—
2101C42—534no—
2102C42—534no—
2103C42C23×D5311yescharacteristic
2104C42C23×D5311yescharacteristic
2105C42C23×D5311yescharacteristic
2106C42C23×D5311yescharacteristic
2107C42C23×D5314yes—
2108C42C23×D5312yes—
2109C42C23×D5314yes—
2110C42C23×D5314yes—
2111C42C23×D5314yes—
2112C23—531no—
2113C23—531no—
2114C23—532no—
2115C23—1062no—
2116C23—1062no—
2117C23—2121no—
2118C23C24×D5312yes—
2119C23C24×D5311yescharacteristic
2120Q8—24no—
2121Q8—44no—
2122Q8—42no—
2123Q8—41no—
2124Q8—1068no—
2125Q8—1068no—
2126Q8—1068no—
2127Q8—1068no—
2128Q8—1068no—
2129Q8—1064no—
2130Q8—1064no—
2131Q8—1064no—
2132Q8—2124no—
2133Q8—2124no—
2134Q8—2122no—
2135Q8—2124no—
2136Q8—2124no—
2137Q8—2121no—
2138D4—24no—
2139D4—41no—
2140D4—1064no—
2141D4—1064no—
2142D4—1064no—
2143D4—1064no—
2144D4—1064no—
2145D4—2121no—
2146D4—2122no—
2147D4—2122no—
2148C2×C4—22no—
2149C2×C4—24no—
2150C2×C4—22no—
2151C2×C4—24no—
2152C2×C4—41no—
2153C2×C4—42no—
2154C2×C4—44no—
2155C2×C4—534no—
2156C2×C4—531no—
2157C2×C4—531no—
2158C2×C4—531no—
2159C2×C4—531no—
2160C2×C4—534no—
2161C2×C4—531no—
2162C2×C4—534no—
2163C2×C4—534no—
2164C2×C4—532no—
2165C2×C4—532no—
2166C2×C4—532no—
2167C2×C4—531no—
2168C2×C4—534no—
2169C2×C4—534no—
2170C2×C4—1062no—
2171C2×C4—1062no—
2172C2×C4—1062no—
2173C2×C4—1062no—
2174C2×C4—1062no—
2175C2×C4—1062no—
2176C2×C4—1062no—
2177C2×C4—1064no—
2178C2×C4—1064no—
2179C2×C4—1062no—
2180C2×C4—1068no—
2181C2×C4—1062no—
2182C2×C4—1062no—
2183C2×C4—1064no—
2184C2×C4—1064no—
2185C2×C4—1064no—
2186C2×C4—1062no—
2187C2×C4—1064no—
2188C2×C4—2121no—
2189C2×C4—2121no—
2190C2×C4—2124no—
2191C2×C4—2124no—
2192C2×C4—2124no—
2193C2×C4—2122no—
2194C2×C4—2124no—
2195C2×C4C24×D5311yescharacteristic
2196C2×C4C24×D5314yes—
2197C2×C4C24×D5312yes—
2198C2×C4C24×D5314yes—
2199C2×C4C24×D5312yes—
2200C2×C4C24×D5312yes—
2201C2×C4C24×D5314yes—
2202C2×C4C24×D5311yescharacteristic
2203C2×C4C24×D5311yescharacteristic
2204C2×C4C24×D5311yescharacteristic
2205C2×C4C24×D5314yes—
2206C2×C4C24×D5311yescharacteristic
2207C2×C4C24×D5311yescharacteristic
2208C22—21no—
2209C22—21no—
2210C22—22no—
2211C22—22no—
2212C22—22no—
2213C22—532no—
2214C22—1061no—
2215C22—1061no—
2216C22—1061no—
2217C22—1061no—
2218C22—1062no—
2219C22—1062no—
2220C22—1062no—
2221C22—1061no—
2222C22—2124no—
2223C222−1+4×D5312yes—
2224C22C25×D5311yescharacteristic
2225C4—21no—
2226C4—21no—
2227C4—21no—
2228C4—22no—
2229C4—24no—
2230C4—22no—
2231C4—24no—
2232C4—24no—
2233C4—21no—
2234C4—21no—
2235C4—24no—
2236C4—22no—
2237C4—532no—
2238C4—532no—
2239C4—532no—
2240C4—532no—
2241C4—1061no—
2242C4—1062no—
2243C4—1062no—
2244C4—1064no—
2245C4—1064no—
2246C4—1061no—
2247C4—1062no—
2248C4—1064no—
2249C4—1064no—
2250C42−1+4×D5312yes—
2251C2—22no—
2252C2—42no—
2253C2—1062no—
2254C2—2121no—
2255C2—2122no—
2256C2C2×2−1+4×D5311yescharacteristic
2257C2C2×2−1+4×D5311yescharacteristic
2258C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3563C2
prime radical#20288009C2
hypercenter#3563D53
hypocenterC53#62837
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3563

Complements

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

NH ≅ G/Ntype
1. #20289325C2semidirect
2. #20289324C2semidirect
3. #20289321C2semidirect
4. #20289318C2semidirect
5. #20289315C2semidirect
6. #20289209C2semidirect
7. #20289200C2semidirect
8. #20289196C2semidirect
9. #20289192C2semidirect
10. #20289125C2semidirect
11. #20288962C2semidirect
12. #20288957C2semidirect
13. #20288807C2semidirect
14. #20288804C2semidirect
15. #20288598C2semidirect
16. #20288597C2semidirect
17. #20288593C2semidirect
18. #20288593C2semidirect
19. #20288575C2semidirect
20. #20288574C2semidirect
21. #20288530C2semidirect
22. #20288529C2semidirect
23. #20288523C2semidirect
24. #20288522C2semidirect
25. #20288463C2semidirect
26. #20288458C2semidirect
27. #20288456C2semidirect
29. C2×#16811179C2semidirect
30. #533×D53C2semidirect
31. C53×#3563C2semidirect
32. C53⋊#564C22semidirect
33. C53⋊#564C22semidirect
34. C53⋊#564C22semidirect
36. #16811377C22semidirect
37. #16811377C22semidirect
40. #16811373C22semidirect
42. #16811357C22semidirect
43. Q8×Dic106C22semidirect
44. #16811353C22semidirect
45. #16811353C22semidirect
46. #16811353C22semidirect
47. #16811351C22semidirect
48. #16811351C22semidirect
49. #16811350C22semidirect
50. #16811350C22semidirect
51. #16811350C22semidirect
52. #16811350C22semidirect
53. #16811350C22semidirect
54. #16811350C22semidirect
55. #16811350C22semidirect
56. #16811350C22semidirect
57. #16811350C22semidirect
58. #16811350C22semidirect
59. #16811350C22semidirect
60. #16811350C22semidirect
61. #16811349C22semidirect
62. #16811349C22semidirect
63. #16811348C22semidirect
64. #16811348C22semidirect
69. #16811344C22semidirect
70. #16811344C22semidirect
72. #16811341C22semidirect
73. #16811341C22semidirect
75. #16811340C22semidirect
76. #16811340C22semidirect
77. #16811340C22semidirect
78. #16811340C22semidirect
79. #16811340C22semidirect
81. #16811331C22semidirect
85. #16811328C22semidirect
87. #16811327C22semidirect
91. #16811314C22semidirect
93. #16811313C22semidirect
96. #16811311C22semidirect
99. #16811310C22semidirect
114. #16811305C22semidirect
123. #16811286C22semidirect
124. #16811286C22semidirect
128. #16811253C22semidirect
129. #16811253C22semidirect
133. #16811252C22semidirect
134. #16811251C22semidirect
137. #16811250C22semidirect
142. #16811236C22semidirect
143. #16811236C22semidirect
144. #16811235C22semidirect
145. #16811234C22semidirect
146. #16811233C22semidirect
153. #16811232C22semidirect
154. #16811232C22semidirect
155. #16811232C22semidirect
156. #16811232C22semidirect
157. #16811231C22semidirect
158. #16811230C22semidirect
159. #16811230C22semidirect
160. #16811230C22semidirect
161. #16811230C22semidirect
184. #16811179C22semidirect
191. #16811177C22semidirect
192. #16811177C22semidirect
195. #16811176C22semidirect
200. #16811175C22semidirect
201. #16811175C22semidirect
207. C2×#13133216C22semidirect
210. C4⋊Q8×D53C22semidirect
236. #16811100C22semidirect
239. #16811099C22semidirect
252. C53×#564C22semidirect
253. C53×#563C22semidirect
254. C53×#557C22semidirect
258. C53×#552C22semidirect
260. C53×#544C22semidirect
261. C53×#541C22semidirect
262. C53×#541C22semidirect
1127. #3563D53semidirect
1164. #564C2×D53semidirect
1172. #563C2×D53semidirect
1196. #557C2×D53semidirect
1250. #552C2×D53semidirect
1275. #544C2×D53semidirect
1300. #541C2×D53semidirect
1301. #541C2×D53semidirect
1396. C53#62837semidirect

Maximal subgroups

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

subgroupindex
#202893252
#202893242
#202893212
#202893182
#202893152
#202892092
#202892002
#202891962
#202891922
#202891252
#202889622
#202889572
#202888072
#202888042
#202885982
#202885972
#202885932
#202885752
#202885742
#202885302
#202885292
#202885232
#202885222
#202884632
#202884582
#202884562
#202880092
C2×#168111792
#533×D532
C53×#35632
#6283753