Finite Group Databasebeta

← #28292820

Subgroups — #28292820

Order 13568.

6530 conjugacy classes of subgroups.

The subgroup lattice has 2296 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289325C211yesmaximal, characteristic, complemented
2#20289324C212yesmaximal, complemented
3#20289320C212yesmaximal, complemented
4#20289314C212yesmaximal, complemented
5#20289252C212yesmaximal, complemented
6#20289251C212yesmaximal, complemented
7#20289249C211yesmaximal, characteristic, complemented
8#20289248C212yesmaximal, complemented
9#20289246C211yesmaximal, characteristic, complemented
10#20289172C212yesmaximal, complemented
11#20289169C214yesmaximal, complemented
12#20289166C212yesmaximal, complemented
13#20288694C212yesmaximal, complemented
14#20288692C212yesmaximal, complemented
15#20288691C214yesmaximal, complemented
16#20288690C212yesmaximal, complemented
17#20288690C212yesmaximal, complemented
18#20288682C214yesmaximal, complemented
19#20288638C212yesmaximal, complemented
20#20288629C212yesmaximal, complemented
21#20288540C212yesmaximal, complemented
22#20288538C212yesmaximal, complemented
23#20288425C212yesmaximal, complemented
24#20288423C212yesmaximal, complemented
25#20288420C212yesmaximal, complemented
26#20288415C214yesmaximal, complemented
27#20288415C212yesmaximal, complemented
28#20288012C211yesmaximal, characteristic, complemented
29#20288009C211yesmaximal, characteristic, complemented
30C2×#125×D53C211yesmaximal, characteristic, complemented
31C53×#3563C211yesmaximal, characteristic, complemented
32C53⋊#564C2214yescomplemented
33C53⋊#564C2212yescomplemented
34#16811377C2212yescomplemented
35#16811377C2212yescomplemented
36#16811377C2212yescomplemented
37#16811375C2214yescomplemented
38#16811372C2214yescomplemented
39#16811371C2212yescomplemented
40#16811369C2214yescomplemented
41#16811367C2212yescomplemented
42#16811352C2212yescomplemented
43#16811350C2214yescomplemented
44#16811349C2212yescomplemented
45#16811349C2212yescomplemented
46#16811348C2214yescomplemented
47#16811334C2214yes—
48#16811334C2214yes—
49#16811334C2212yescomplemented
50#16811333C2214yes—
51#16811333C2212yes—
52#16811333C2212yescomplemented
53#16811331C2214yes—
54#16811331C2212yes—
55#16811331C2212yes—
56#16811331C2214yescomplemented
57#16811329C2214yes—
58#16811329C2214yes—
59#16811329C2214yes—
60#16811329C2214yes—
61#16811329C2212yescomplemented
62#16811329C2212yescomplemented
63#16811327C2214yes—
64#16811327C2214yes—
65#16811327C2214yescomplemented
66#16811326C2214yes—
67#16811326C2214yes—
68#16811326C2214yes—
69#16811326C2212yes—
70#16811326C2212yescomplemented
71#16811324C2214yes—
72#16811324C2214yes—
73#16811324C2214yes—
74#16811324C2214yes—
75#16811324C2214yescomplemented
76#16811324C2214yescomplemented
77#16811322C2214yes—
78#16811321C2212yes—
79#16811321C2212yescomplemented
80#16811319C2212yes—
81#16811319C2212yescomplemented
82#16811318C2214yes—
83#16811317C2214yes—
84#16811317C2212yes—
85#16811317C2212yescomplemented
86#16811315C2214yes—
87#16811315C2212yes—
88#16811315C2212yescomplemented
89#16811315C2214yescomplemented
90#16811314C2212yes—
91#16811314C2212yescomplemented
92#16811314C2214yescomplemented
93#16811311C2214yes—
94#16811311C2214yes—
95#16811311C2214yescomplemented
96#16811311C2214yescomplemented
97#16811309C2214yes—
98#16811309C2214yescomplemented
99#16811309C2214yescomplemented
100#16811307C2212yes—
101#16811307C2212yescomplemented
102#16811306C2214yes—
103#16811306C2214yes—
104#16811306C2214yes—
105#16811306C2214yescomplemented
106#16811305C2214yes—
107#16811305C2214yes—
108#16811305C2214yescomplemented
109#16811305C2214yescomplemented
110#16811305C2214yescomplemented
111#16811277C2212yes—
112#16811277C2214yes—
113#16811276C2212yes—
114#16811276C2214yes—
115#16811276C2214yes—
116#16811275C2214yes—
117#16811275C2214yes—
118#16811274C2214yes—
119#16811274C2212yes—
120#16811274C2212yes—
121#16811271C2214yes—
122#16811271C2214yes—
123#16811271C2214yes—
124#16811271C2214yes—
125#16811253C2212yes—
126#16811253C2214yes—
127#16811253C2212yescomplemented
128#16811253C2214yescomplemented
129#16811252C2212yes—
130#16811251C2212yescomplemented
131#16811250C2212yes—
132#16811250C2212yescomplemented
133#16811250C2214yescomplemented
134#16811236C2214yescomplemented
135#16811234C2214yescomplemented
136#16811234C2212yescomplemented
137#16811232C2214yescomplemented
138#16811232C2214yescomplemented
139#16811232C2214yescomplemented
140#16811232C2214yescomplemented
141#16811231C2214yescomplemented
142#16811230C2214yescomplemented
143#16811229C2212yescomplemented
144#16811228C2212yescomplemented
145#16811225C2214yescomplemented
146#16811222C2212yes—
147#16811222C2212yes—
148#16811222C2214yes—
149#16811222C2214yescomplemented
150#16811221C2214yes—
151#16811221C2214yes—
152#16811221C2214yes—
153#16811221C2214yes—
154#16811221C2214yescomplemented
155#16811221C2214yescomplemented
156#16811221C2214yescomplemented
157#16811220C2212yes—
158#16811219C2214yes—
159#16811219C2214yescomplemented
160#16811217C2214yes—
161#16811217C2214yescomplemented
162#16811214C2214yes—
163#16811214C2214yes—
164#16811214C2214yes—
165#16811214C2214yescomplemented
166#16811214C2214yescomplemented
167#16811204C2212yes—
168#16811203C2212yes—
169#16811203C2212yes—
170#16811203C2214yes—
171#16811200C2212yes—
172#16811179C2211yescharacteristic
173#16811178C2211yescharacteristic
174#16811178C2211yescharacteristic
175#16811178C2212yescomplemented
176#16811177C2211yescharacteristic
177#16811177C2214yescomplemented
178#16811176C2212yescomplemented
179#16811175C2211yescharacteristic
180#16811174C2211yescharacteristic
181#16811174C2211yescharacteristic
182#16811173C2211yescharacteristic
183#16811172C2211yescharacteristic
184#16811170C2211yescharacteristic
185#16811168C2211yescharacteristic
186#16811160C2212yes—
187#16811160C2212yes—
188#16811160C2212yescomplemented
189#16811160C2212yescomplemented
190#16811159C2212yes—
191#16811159C2212yes—
192#16811159C2212yescomplemented
193#16811159C2212yescomplemented
194#16811158C2211yescharacteristic
195#16811158C2212yes—
196#16811158C2212yes—
197#16811157C2211yescharacteristic
198#16811156C2212yes—
199#16811156C2212yes—
200#16811156C2214yescomplemented
201#16811152C2211yescharacteristic
202#16811151C2212yes—
203#16811151C2214yescomplemented
204#16811150C2212yes—
205C2×#13133209C2211yescharacteristic
206C2×#13133208C2211yescharacteristic
207C2×#13133208C2211yescharacteristic
208C2×#13133208C2212yescomplemented
209C2×#13133207C2212yes—
210C2×#13133207C2212yes—
211#125×D53C2212yes—
212#125×D53C2212yes—
213#125×D53C2212yes—
214#125×D53C2212yes—
215#125×D53C2212yes—
216#125×D53C2212yes—
217#125×D53C2212yes—
218#125×D53C2212yes—
219#125×D53C2212yescomplemented
220#125×D53C2214yescomplemented
221#16811136C2211yescharacteristic
222#16811136C2212yes—
223#16811136C2212yes—
224#16811136C2214yes—
225#16811135C2212yes—
226#16811135C2214yes—
227#16811133C2211yescharacteristic
228#16811132C2212yes—
229#16811132C2214yes—
230#16811131C2212yes—
231#16811131C2214yes—
232#16811105C2212yes—
233#16811105C2212yes—
234#16811105C2214yes—
235#16811104C2212yes—
236#16811103C2212yes—
237#16811103C2214yes—
238#16811103C2214yes—
239#16811102C2214yes—
240C4×#11719949C2211yescharacteristic
241C4×#11719949C2212yes—
242C4×#11719949C2212yes—
243#16811091C2212yes—
244#16811091C2212yes—
245C4×#11719947C2211yescharacteristic
246C4×#11719947C2212yes—
247C2×C4⋊C4×D53C2212yes—
248C2×C4⋊C4×D53C2211yescharacteristic
249C2×C4⋊C4×D53C2212yes—
250C2×C4⋊C4×D53C2211yescharacteristic
251C2×C42×D53C2211yescharacteristic
252C53×#564C2212yescomplemented
253C53×#563C2212yescomplemented
254C53×#557C2212yescomplemented
255C53×#554C2212yes—
256C53×#552C2214yes—
257C53×#552C2212yes—
258C53×#552C2212yescomplemented
259C53×#544C2212yes—
260C53×#544C2212yescomplemented
261C53×#541C2212yescomplemented
262C53×#541C2214yescomplemented
263C53×#539C2212yes—
264C53×#533C2211yescharacteristic
265C53×#529C2211yescharacteristic
266C2×#125×C53C2211yescharacteristic
267C2×#11719949C2312yes—
268C2×#11719949C2312yes—
269C2×#11719949C2314yes—
270C2×#11719949C2311yescharacteristic
271C2×#11719945C2312yes—
272C2×#11719945C2312yes—
273C2×#11719945C2314yes—
274C2×#11719945C2314yes—
275C2×#11719947C2311yescharacteristic
276C2×#11719947C2312yes—
277C2×#11719947C2314yes—
278C22×C4×D53C2311yescharacteristic
279C22×C4×D53C2311yescharacteristic
280C22×C4×D53C2311yescharacteristic
281C22×C4×D53C2312yes—
282C22×C4×D53C2312yes—
283#13133217C2312yes—
284#13133217C2314yes—
285#13133217C2311yescharacteristic
286#13133216C2314yes—
287#13133216C2314yes—
288#13133216C2314yes—
289#13133216C2314yes—
290#13133216C2312yes—
291#13133216C2312yes—
292#13133216C2314yes—
293#13133216C2311yescharacteristic
294#13133216C2311yescharacteristic
295#13133215C2314yes—
296#13133215C2314yes—
297#13133215C2311yescharacteristic
298#13133214C2311yescharacteristic
299#13133213C2311yescharacteristic
300#13133212C2314yes—
301#13133212C2314yes—
302#13133212C2314yes—
303#13133212C2314yes—
304#13133212C2314yes—
305#13133212C2314yes—
306#13133212C2314yes—
307#13133212C2314yes—
308#13133212C2314yes—
309#13133212C2314yes—
310#13133212C2314yes—
311#13133212C2314yes—
312#13133212C2314yes—
313#13133212C2314yes—
314#13133212C2312yes—
315#13133212C2314yes—
316#13133212C2314yes—
317#13133211C2314yes—
318#13133211C2314yes—
319#13133211C2314yes—
320#13133211C2314yes—
321#13133211C2312yes—
322#13133210C2314yes—
323#13133210C2314yes—
324#13133210C2312yes—
325#13133209C2314yes—
326#13133209C2314yes—
327#13133209C2314yes—
328#13133209C2312yes—
329#13133209C2312yes—
330#13133209C2312yes—
331#13133209C2311yescharacteristic
332#13133209C2312yes—
333#13133209C2312yes—
334#13133208C2312yes—
335#13133208C2312yes—
336#13133208C2314yes—
337#13133208C2312yes—
338#13133208C2314yes—
339#13133208C2314yes—
340#13133208C2314yes—
341#13133208C2314yes—
342#13133208C2312yes—
343#13133208C2314yes—
344#13133208C2314yes—
345#13133208C2314yes—
346#13133208C2312yes—
347#13133208C2314yes—
348#13133208C2312yes—
349#13133208C2312yes—
350#13133208C2312yes—
351#13133208C2312yes—
352#13133208C2312yes—
353#13133208C2312yes—
354#13133208C2312yes—
355#13133207C2314yes—
356#13133207C2314yes—
357#13133207C2314yes—
358#13133207C2314yes—
359#13133207C2314yes—
360#13133207C2314yes—
361#13133207C2314yes—
362#13133207C2314yes—
363#13133207C2314yes—
364#13133207C2314yes—
365#13133207C2314yes—
366#13133207C2314yes—
367#13133207C2314yes—
368#13133207C2314yes—
369#13133207C2314yes—
370#13133207C2314yes—
371#13133207C2314yes—
372#13133207C2314yes—
373#13133207C2312yes—
374#13133207C2314yes—
375#13133207C2314yes—
376#13133207C2314yes—
377#13133207C2314yes—
378#13133207C2312yes—
379#13133206C2312yes—
380#13133206C2312yes—
381#13133205C2312yes—
382#13133205C2311yescharacteristic
383#13133203C2312yes—
384#13133203C2312yes—
385#13133202C2314yes—
386#13133202C2314yes—
387#13133202C2314yes—
388#13133202C2314yes—
389#13133202C2314yes—
390#13133202C2314yes—
391#13133202C2314yes—
392#13133202C2314yes—
393#13133202C2314yes—
394#13133202C2314yes—
395#13133202C2314yes—
396#13133202C2314yes—
397#13133202C2312yes—
398#13133202C2314yes—
399#13133202C2314yes—
400#13133202C2314yes—
401#13133202C2314yes—
402#13133202C2314yes—
403#13133202C2312yes—
404#13133202C2314yes—
405#13133201C2314yes—
406#13133201C2314yes—
407#13133201C2314yes—
408#13133201C2314yes—
409#13133201C2314yes—
410#13133201C2314yes—
411#13133201C2314yes—
412#13133200C2312yes—
413#13133200C2314yes—
414#13133200C2314yes—
415#13133199C2314yes—
416#13133199C2314yes—
417#13133199C2314yes—
418#13133199C2314yes—
419#13133199C2312yes—
420#13133199C2314yes—
421#13133199C2314yes—
422#13133199C2312yes—
423#13133197C2314yes—
424#13133197C2314yes—
425#13133197C2314yes—
426#13133197C2314yes—
427#13133197C2314yes—
428#13133197C2314yes—
429#13133197C2314yes—
430#13133197C2314yes—
431#13133197C2311yescharacteristic
432#13133197C2312yes—
433#13133197C2314yes—
434#13133197C2312yes—
435#13133196C2311yescharacteristic
436#13133195C2314yes—
437#13133195C2314yes—
438#13133195C2314yes—
439#13133195C2314yes—
440#13133195C2314yes—
441#13133195C2314yes—
442#13133195C2314yes—
443#13133195C2314yes—
444#13133195C2312yes—
445#13133195C2314yes—
446#13133195C2314yes—
447#13133195C2314yes—
448#13133195C2314yes—
449#13133195C2314yes—
450#13133195C2314yes—
451#13133195C2314yes—
452#13133195C2314yes—
453#13133195C2312yes—
454#13133195C2312yes—
455#13133194C2314yes—
456#13133194C2314yes—
457#13133194C2314yes—
458#13133194C2314yes—
459#13133194C2312yes—
460#13133194C2314yes—
461#13133194C2314yes—
462#13133193C2314yes—
463#13133193C2314yes—
464#13133193C2314yes—
465#13133193C2314yes—
466#13133193C2314yes—
467#13133193C2312yes—
468#13133193C2312yes—
469#13133193C2312yes—
470#13133193C2314yes—
471#13133193C2312yes—
472#13133193C2314yes—
473#13133193C2311yescharacteristic
474#13133192C2312yes—
475#13133192C2312yes—
476#13133192C2314yes—
477#13133192C2314yes—
478#13133192C2312yes—
479#13133192C2314yes—
480#13133192C2314yes—
481#13133192C2314yes—
482#13133192C2312yes—
483#13133192C2312yes—
484#13133192C2314yes—
485#13133192C2311yescharacteristic
486#13133192C2312yes—
487#13133191C2312yes—
488#13133191C2314yes—
489#13133191C2312yes—
490#13133191C2312yes—
491#13133191C2314yes—
492#13133191C2311yescharacteristic
493#13133191C2312yes—
494#13133190C2314yes—
495#13133190C2314yes—
496#13133190C2314yes—
497#13133190C2314yes—
498#13133190C2312yes—
499#13133190C2314yes—
500#13133190C2314yes—
501#13133190C2312yes—
502#13133190C2314yes—
503#13133190C2314yes—
504#13133190C2312yes—
505#13133189C2314yes—
506#13133189C2312yes—
507#13133189C2314yes—
508#13133188C2311yescharacteristic
509#13133187C2312yes—
510#13133187C2314yes—
511#13133185C2312yes—
512Q8×Dic53C2312yes—
513Q8×Dic53C2312yes—
514Q8×Dic53C2314yes—
515Q8×Dic53C2312yes—
516Q8×Dic53C2312yes—
517Q8×Dic53C2311yescharacteristic
518C4×Dic106C2314yes—
519C4×Dic106C2314yes—
520C4×Dic106C2314yes—
521C4×Dic106C2314yes—
522C4×Dic106C2314yes—
523C4×Dic106C2314yes—
524C4×Dic106C2311yescharacteristic
525C4×Dic106C2312yes—
526#13133182C2314yes—
527#13133182C2314yes—
528#13133182C2312yes—
529#13133182C2312yes—
530#13133182C2312yes—
531#13133182C2312yes—
532#13133182C2311yescharacteristic
533#13133182C2312yes—
534C4×D212C2314yes—
535C4×D212C2314yes—
536C4×D212C2314yes—
537C4×D212C2312yes—
538C4×D212C2314yes—
539C4×D212C2312yes—
540C4×D212C2314yes—
541C4×D212C2312yes—
542C4×D212C2311yescharacteristic
543C4×D212C2314yes—
544C4×D212C2314yes—
545C4×D212C2312yes—
546C4×D212C2314yes—
547C4×D212C2314yes—
548C4×D212C2314yes—
549C4×D212C2312yes—
550D4×Dic53C2312yes—
551D4×Dic53C2311yescharacteristic
552#13133179C2314yes—
553#13133179C2312yes—
554#13133179C2312yes—
555#13133179C2314yes—
556#13133179C2314yes—
557#13133179C2312yes—
558#13133179C2312yes—
559#13133179C2312yes—
560#13133179C2314yes—
561#13133179C2314yes—
562#13133179C2314yes—
563#13133179C2314yes—
564#13133179C2312yes—
565#13133179C2312yes—
566#13133179C2312yes—
567#13133179C2312yes—
568#13133179C2311yescharacteristic
569C4×C22⋊D53C2312yes—
570C4×C22⋊D53C2314yes—
571C4×C22⋊D53C2312yes—
572C4×C22⋊D53C2314yes—
573C4×C22⋊D53C2314yes—
574C4×C22⋊D53C2312yes—
575C4×C22⋊D53C2314yes—
576#13133177C2314yes—
577#13133177C2314yes—
578#13133177C2314yes—
579#13133177C2314yes—
580#13133177C2314yes—
581#13133177C2314yes—
582#13133177C2314yes—
583#13133177C2314yes—
584#13133177C2314yes—
585#13133177C2312yes—
586#13133177C2312yes—
587#13133177C2312yes—
588#13133177C2312yes—
589#13133177C2312yes—
590#13133177C2312yes—
591#13133177C2312yes—
592#13133177C2314yes—
593#13133176C2312yes—
594#13133175C2311yescharacteristic
595#13133175C2314yes—
596#13133175C2312yes—
597#13133175C2314yes—
598#13133175C2314yes—
599#13133175C2314yes—
600#13133175C2312yes—
601#13133175C2314yes—
602#13133175C2311yescharacteristic
603#13133175C2312yes—
604#13133175C2312yes—
605#13133175C2312yes—
606#13133175C2312yes—
607#13133175C2314yes—
608#13133174C2314yes—
609#13133174C2314yes—
610#13133174C2314yes—
611#13133174C2314yes—
612#13133174C2314yes—
613#13133174C2314yes—
614#13133174C2314yes—
615#13133174C2312yes—
616#13133174C2312yes—
617#13133173C2312yes—
618#13133173C2314yes—
619#13133173C2312yes—
620#13133173C2314yes—
621#13133173C2312yes—
622C2×C4⋊Dic53C2312yes—
623C2×C4⋊Dic53C2311yescharacteristic
624C2×C4⋊Dic53C2312yes—
625C2×C4⋊Dic53C2314yes—
626C2×C4⋊Dic53C2311yescharacteristic
627C2×C4⋊Dic53C2312yes—
628C2×#11719919C2312yes—
629C2×#11719919C2312yes—
630C2×#11719919C2312yes—
631C2×#11719919C2314yes—
632C2×#11719919C2312yes—
633C2×#11719919C2312yes—
634C2×#11719919C2312yes—
635C4⋊C4×D53C2314yes—
636C4⋊C4×D53C2314yes—
637C4⋊C4×D53C2314yes—
638C4⋊C4×D53C2314yes—
639C4⋊C4×D53C2312yes—
640C4⋊C4×D53C2312yes—
641C4⋊C4×D53C2314yes—
642C4⋊C4×D53C2312yes—
643C4⋊C4×D53C2314yes—
644C4⋊C4×D53C2314yes—
645C4⋊C4×D53C2314yes—
646C4⋊C4×D53C2314yes—
647C4⋊C4×D53C2314yes—
648C4⋊C4×D53C2312yes—
649C4⋊C4×D53C2314yes—
650C4⋊C4×D53C2312yes—
651C4⋊C4×D53C2314yes—
652C4⋊C4×D53C2312yes—
653C4⋊C4×D53C2314yes—
654C4⋊C4×D53C2314yes—
655C4⋊C4×D53C2312yes—
656C4⋊C4×D53C2314yes—
657C4⋊C4×D53C2312yes—
658C4⋊C4×D53C2314yes—
659C4⋊C4×D53C2312yes—
660C4⋊C4×D53C2312yes—
661C2×C4×Dic53C2311yescharacteristic
662C2×C4×Dic53C2311yescharacteristic
663C2×C4×Dic53C2311yescharacteristic
664C2×C4×Dic53C2312yes—
665C42×D53C2311yescharacteristic
666C42×D53C2311yescharacteristic
667C42×D53C2311yescharacteristic
668C42×D53C2311yescharacteristic
669C42×D53C2311yescharacteristic
670C42×D53C2311yescharacteristic
671C42×D53C2311yescharacteristic
672C42×D53C2311yescharacteristic
673C42×D53C2312yes—
674C42×D53C2314yes—
675C4⋊Q8×C53C2314yes—
676C4⋊Q8×C53C2314yes—
677C4⋊Q8×C53C2312yes—
678C4⋊Q8×C53C2311yescharacteristic
679C4⋊Q8×C53C2311yescharacteristic
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×C53C2314yes—
697#125×C53C2312yes—
698#125×C53C2312yes—
699#125×C53C2314yes—
700#124×C53C2311yescharacteristic
701#123×C53C2312yes—
702#123×C53C2314yes—
703#123×C53C2314yes—
704C22⋊Q8×C53C2314yes—
705C22⋊Q8×C53C2314yes—
706C22⋊Q8×C53C2312yes—
707C22⋊Q8×C53C2312yes—
708C22⋊Q8×C53C2311yescharacteristic
709C22⋊Q8×C53C2312yes—
710C22⋊Q8×C53C2312yes—
711C22⋊Q8×C53C2314yes—
712C22⋊Q8×C53C2314yes—
713#121×C53C2311yescharacteristic
714C4×Q8×C53C2311yescharacteristic
715C4×Q8×C53C2312yes—
716C4×Q8×C53C2312yes—
717C4×Q8×C53C2312yes—
718C4×Q8×C53C2314yes—
719C4×Q8×C53C2312yes—
720C4×D4×C53C2312yes—
721C4×D4×C53C2314yes—
722C4×D4×C53C2311yescharacteristic
723#117×C53C2312yes—
724#117×C53C2314yes—
725#117×C53C2314yes—
726#117×C53C2312yes—
727#117×C53C2312yes—
728C2×C4⋊C4×C53C2312yes—
729C2×C4⋊C4×C53C2311yescharacteristic
730C2×C4⋊C4×C53C2312yes—
731C2×C4⋊C4×C53C2312yes—
732C2×C4⋊C4×C53C2311yescharacteristic
733C2×C42×C53C2311yescharacteristic
734C23×D53C2411yescharacteristic
735C2×Q8×C53C2412yes—
736C2×Q8×C53C2414yes—
737C2×Q8×C53C2412yes—
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⋊D53C2414yes—
752C2×C22⋊D53C2412yes—
753C2×C22⋊D53C2414yes—
754C2×C22⋊D53C2414yes—
755C2×C22⋊D53C2412yes—
756C22×Dic53C2411yescharacteristic
757C22×Dic53C2411yescharacteristic
758C22×Dic53C2412yes—
759C22×Dic53C2411yescharacteristic
760C22×Dic53C2412yes—
761C22×Dic53C2412yes—
762C22×Dic53C2412yes—
763C22×Dic53C2414yes—
764#11719949—28no—
765#11719949—48no—
766#11719949—42no—
767#11719949—44no—
768#11719947—42no—
769#11719947—44no—
770#11719947—48no—
771#11719945—28no—
772#11719945—48no—
773#11719945—44no—
774#11719945—48no—
775C2×D212C2412yes—
776C2×D212C2414yes—
777C2×D212C2412yes—
778C2×D212C2414yes—
779C2×D212C2412yes—
780C2×D212C2412yes—
781C2×D212C2412yes—
782C2×D212C2414yes—
783C2×D212C2411yescharacteristic
784C2×D212C2414yes—
785C2×C4×D53—24no—
786C2×C4×D53—44no—
787C2×C4×D53—42no—
788C2×C4×D53—42no—
789C2×C4×D53—44no—
790C2×C4×D53C2411yescharacteristic
791C2×C4×D53C2411yescharacteristic
792C2×C4×D53C2411yescharacteristic
793C2×C4×D53C2411yescharacteristic
794C2×C4×D53C2411yescharacteristic
795C2×C4×D53C2414yes—
796C2×C4×D53C2412yes—
797C2×C4×D53C2414yes—
798C2×C4×D53C2411yescharacteristic
799C2×C4×D53C2411yescharacteristic
800C2×C4×D53C2411yescharacteristic
801C2×C4×D53C2411yescharacteristic
802C2×C4×D53C2411yescharacteristic
803C2×C4×D53C2411yescharacteristic
804C2×C4×D53C2414yes—
805C2×C4×D53C2412yes—
806C2×C4×D53C2414yes—
807C2×C4×D53C2412yes—
808C2×C4×D53C2414yes—
809C2×C4×D53C2414yes—
810C2×C4×D53C2414yes—
811C2×C4×D53C2414yes—
812C2×C4×D53C2414yes—
813C2×C4×D53C2414yes—
814C2×C4×D53C2414yes—
815C2×C4×D53C2414yes—
816C2×C4×D53C2414yes—
817C2×C4×D53C2411yescharacteristic
818C2×Dic106C2412yes—
819C2×Dic106C2412yes—
820C2×Dic106C2414yes—
821C2×Dic106C2411yescharacteristic
822C2×Dic106C2412yes—
823C2×Dic106C2414yes—
824C2×Dic106C2414yes—
825C4⋊C4×C53C2412yes—
826C4⋊C4×C53C2412yes—
827C4⋊C4×C53C2412yes—
828C4⋊C4×C53C2414yes—
829C4⋊C4×C53C2412yes—
830C4⋊C4×C53C2414yes—
831C4⋊C4×C53C2414yes—
832C4⋊C4×C53C2414yes—
833C4⋊C4×C53C2414yes—
834C4⋊C4×C53C2412yes—
835C4⋊C4×C53C2414yes—
836C4⋊C4×C53C2412yes—
837C4⋊C4×C53C2414yes—
838C4⋊C4×C53C2414yes—
839C4⋊C4×C53C2412yes—
840C4⋊C4×C53C2412yes—
841C4⋊C4×C53C2412yes—
842C4⋊C4×C53C2411yescharacteristic
843C4⋊C4×C53C2414yes—
844C4⋊C4×C53C2412yes—
845C4⋊C4×C53C2412yes—
846C4⋊C4×C53C2411yescharacteristic
847C4⋊C4×C53C2414yes—
848C4⋊C4×C53C2414yes—
849C4⋊C4×C53C2414yes—
850C4⋊C4×C53C2414yes—
851C4⋊C4×C53C2412yes—
852C4⋊C4×C53C2414yes—
853C22⋊C4×C53C2414yes—
854C22⋊C4×C53C2412yes—
855C22⋊C4×C53C2412yes—
856C22⋊C4×C53C2412yes—
857C22⋊C4×C53C2414yes—
858C22⋊C4×C53C2412yes—
859C22⋊C4×C53C2414yes—
860C22⋊C4×C53C2414yes—
861C22⋊C4×C53C2412yes—
862C42×C53C2411yescharacteristic
863C42×C53C2411yescharacteristic
864C42×C53C2411yescharacteristic
865C42×C53C2411yescharacteristic
866C42×C53C2414yes—
867C42×C53C2414yes—
868C42×C53C2412yes—
869C42×C53C2414yes—
870C42×C53C2414yes—
871C22⋊Dic53C2412yes—
872C22⋊Dic53C2412yes—
873C22⋊Dic53C2412yes—
874C22⋊Dic53C2414yes—
875#11719921C2414yes—
876#11719921C2412yes—
877#11719921C2412yes—
878#11719921C2414yes—
879#11719921C2414yes—
880#11719921C2412yes—
881#11719921C2412yes—
882#11719921C2412yes—
883#11719921C2412yes—
884#11719921C2414yes—
885#11719921C2414yes—
886#11719921C2414yes—
887#11719921C2414yes—
888#11719921C2414yes—
889#11719921C2414yes—
890#11719921C2414yes—
891#11719921C2414yes—
892#11719921C2412yes—
893#11719921C2412yes—
894#11719921C2414yes—
895#11719921C2412yes—
896#11719921C2414yes—
897#11719921C2414yes—
898#11719921C2414yes—
899#11719921C2414yes—
900#11719921C2414yes—
901#11719921C2414yes—
902#11719921C2412yes—
903#11719921C2414yes—
904#11719921C2414yes—
905C4⋊Dic53C2414yes—
906C4⋊Dic53C2414yes—
907C4⋊Dic53C2412yes—
908C4⋊Dic53C2412yes—
909C4⋊Dic53C2414yes—
910C4⋊Dic53C2414yes—
911C4⋊Dic53C2412yes—
912C4⋊Dic53C2412yes—
913C4⋊Dic53C2412yes—
914C4⋊Dic53C2412yes—
915C4⋊Dic53C2414yes—
916C4⋊Dic53C2414yes—
917C4⋊Dic53C2414yes—
918C4⋊Dic53C2414yes—
919C4⋊Dic53C2414yes—
920C4⋊Dic53C2414yes—
921C4⋊Dic53C2414yes—
922C4⋊Dic53C2411yescharacteristic
923C4⋊Dic53C2411yescharacteristic
924C4⋊Dic53C2412yes—
925C4⋊Dic53C2412yes—
926C4⋊Dic53C2414yes—
927#11719919C2414yes—
928#11719919C2414yes—
929#11719919C2414yes—
930#11719919C2414yes—
931#11719919C2414yes—
932#11719919C2414yes—
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—
949#11719919C2414yes—
950#11719919C2414yes—
951#11719919C2414yes—
952#11719919C2414yes—
953#11719919C2412yes—
954#11719919C2412yes—
955#11719919C2412yes—
956#11719919C2412yes—
957#11719919C2414yes—
958#11719919C2414yes—
959#11719919C2412yes—
960#11719919C2412yes—
961C4×Dic53C2411yescharacteristic
962C4×Dic53C2411yescharacteristic
963C4×Dic53C2411yescharacteristic
964C4×Dic53C2411yescharacteristic
965C4×Dic53C2411yescharacteristic
966C4×Dic53C2411yescharacteristic
967C4×Dic53C2411yescharacteristic
968C4×Dic53C2411yescharacteristic
969C4×Dic53C2411yescharacteristic
970C4×Dic53C2411yescharacteristic
971C4×Dic53C2411yescharacteristic
972C4×Dic53C2411yescharacteristic
973C4×Dic53C2412yes—
974C4×Dic53C2414yes—
975C4×Dic53C2412yes—
976C4×Dic53C2414yes—
977C4×Dic53C2412yes—
978C4×Dic53C2412yes—
979C4×Dic53C2412yes—
980C4×Dic53C2414yes—
981C4×Dic53C2414yes—
982C4×Dic53C2414yes—
983C4×Dic53C2414yes—
984C4×Dic53C2414yes—
985C23×C53C2512yes—
986C23×C53C2511yescharacteristic
987C22×D53—22no—
988C22×D53—22no—
989C22×D53—22no—
990C22×D53C2514yes—
991C22×D53C2512yes—
992C22×D53C2511yescharacteristic
993C22×D53C2511yescharacteristic
994Q8×C53—24no—
995Q8×C53—41no—
996Q8×C53—42no—
997Q8×C53—44no—
998D4×C53—24no—
999D4×C53—41no—
1000C2×C4×C53—22no—
1001C2×C4×C53—24no—
1002C2×C4×C53—22no—
1003C2×C4×C53—24no—
1004C2×C4×C53—41no—
1005C2×C4×C53—42no—
1006C2×C4×C53—44no—
1007C2×C4×C53C2512yes—
1008C2×C4×C53C2511yescharacteristic
1009C2×C4×C53C2514yes—
1010C2×C4×C53C2511yescharacteristic
1011C2×C4×C53C2514yes—
1012C2×C4×C53C2512yes—
1013C2×C4×C53C2511yescharacteristic
1014C2×C4×C53C2514yes—
1015C2×C4×C53C2512yes—
1016C2×C4×C53C2511yescharacteristic
1017C2×C4×C53C2511yescharacteristic
1018C2×C4×C53C2514yes—
1019C2×C4×C53C2511yescharacteristic
1020C22⋊D53—28no—
1021C22⋊D53—24no—
1022C22⋊D53—24no—
1023C22⋊D53—24no—
1024C22⋊D53—24no—
1025C22⋊D53—44no—
1026C22⋊D53—42no—
1027C22⋊D53—44no—
1028C2×Dic53—22no—
1029C2×Dic53—24no—
1030C2×Dic53—22no—
1031C2×Dic53—42no—
1032C2×Dic53—41no—
1033C2×Dic53—44no—
1034C2×Dic53—42no—
1035C2×Dic53—42no—
1036C2×Dic53C2512yes—
1037C2×Dic53C2514yes—
1038C2×Dic53C2512yes—
1039C2×Dic53C2511yescharacteristic
1040C2×Dic53C2514yes—
1041C2×Dic53C2514yes—
1042C2×Dic53C2512yes—
1043C2×Dic53C2511yescharacteristic
1044C2×Dic53C2511yescharacteristic
1045C2×Dic53C2511yescharacteristic
1046C2×Dic53C2511yescharacteristic
1047C2×Dic53C2511yescharacteristic
1048D212—24no—
1049D212—28no—
1050D212—28no—
1051D212—24no—
1052D212—24no—
1053D212—42no—
1054D212—44no—
1055D212—41no—
1056D212—44no—
1057D212—42no—
1058C4×D53—22no—
1059C4×D53—28no—
1060C4×D53—22no—
1061C4×D53—22no—
1062C4×D53—22no—
1063C4×D53—24no—
1064C4×D53—22no—
1065C4×D53—28no—
1066C4×D53—41no—
1067C4×D53—41no—
1068C4×D53—44no—
1069C4×D53—44no—
1070C4×D53—44no—
1071C4×D53—41no—
1072C4×D53—41no—
1073C4×D53—41no—
1074C4×D53—41no—
1075C4×D53—44no—
1076C4×D53—44no—
1077C4×D53—44no—
1078C4×D53—44no—
1079C4×D53—44no—
1080C4×D53—42no—
1081C4×D53—44no—
1082C4×D53—44no—
1083C4×D53—44no—
1084C4×D53—42no—
1085C4×D532−1+414yes—
1086Dic106—24no—
1087Dic106—42no—
1088Dic106—44no—
1089Dic106—44no—
1090Dic106—41no—
1091Dic106—42no—
1092Dic106—44no—
1093#62825—531nomaximal, Sylow
1094C22×C53—21no—
1095C22×C53—21no—
1096C22×C53—22no—
1097C22×C53—22no—
1098C22×C53—22no—
1099C22×C53#58512yes—
1100C22×C53C2611yescharacteristic
1101C2×D53—28no—
1102C2×D53—21no—
1103C2×D53—21no—
1104C2×D53—21no—
1105C2×D53—21no—
1106C2×D53—24no—
1107C2×D53—22no—
1108C2×D53—22no—
1109C2×D53—24no—
1110C2×D53—24no—
1111C2×D53—22no—
1112C2×D53C2×2−1+412yes—
1113C2×D53#58512yes—
1114C4×C53—22no—
1115C4×C53—21no—
1116C4×C53—24no—
1117C4×C53—22no—
1118C4×C53—21no—
1119C4×C53—21no—
1120C4×C53—24no—
1121C4×C53—24no—
1122C4×C53—24no—
1123C4×C53—21no—
1124C4×C53—21no—
1125C4×C53—22no—
1126C4×C53C2×2−1+412yes—
1127Dic53—22no—
1128Dic53—21no—
1129Dic53—22no—
1130Dic53—24no—
1131Dic53—22no—
1132Dic53—21no—
1133Dic53—24no—
1134Dic53—24no—
1135Dic53—21no—
1136Dic53—21no—
1137Dic53—21no—
1138Dic53C2×2−1+412yes—
1139#3563—532no—
1140#3563—532no—
1141#3563—532no—
1142#3563—531no—
1143#3563D5311yescharacteristic, complemented
1144#3559—532no—
1145#3559—532no—
1146#3559—532no—
1147#3559—531no—
1148#3559—531no—
1149#3553—532no—
1150#3553—532no—
1151#3553—534no—
1152#3515—532no—
1153#3515—532no—
1154#3515—534no—
1155#3515—532no—
1156#3515—532no—
1157#3515—534no—
1158#3512—532no—
1159#3512—532no—
1160#3504—532no—
1161#3504—532no—
1162#3492—532no—
1163#3492—532no—
1164#3492—534no—
1165#3492—532no—
1166#3492—532no—
1167#3444—531no—
1168#3444—531no—
1169C22×#125—531no—
1170C2×C53—22no—
1171C2×C53—42no—
1172C2×C53C22×2−1+411yescharacteristic
1173C2×C53C2×#58511yescharacteristic
1174C2×C53C2×#58511yescharacteristic
1175D53—22no—
1176D53—22no—
1177D53—44no—
1178D53—42no—
1179#564—534no—
1180#564—532no—
1181#564C2×D5312yescomplemented
1182#563—534no—
1183#563—534no—
1184#563—532no—
1185#563—532no—
1186#563—532no—
1187#563C2×D5312yescomplemented
1188#562—532no—
1189#562—532no—
1190#562—534no—
1191#557—534no—
1192#557—534no—
1193#557—532no—
1194#557—532no—
1195#557—532no—
1196#557C2×D5312yescomplemented
1197#554—534no—
1198#554—534no—
1199#554—532no—
1200#554—534no—
1201#554—534no—
1202#554—534no—
1203#554—534no—
1204#554—532no—
1205#554—532no—
1206#554—534no—
1207#554—534no—
1208#554—534no—
1209#554—534no—
1210#554—532no—
1211#554—532no—
1212#554—534no—
1213#554—534no—
1214#554—532no—
1215#554—532no—
1216#554C2×D5312yes—
1217#553—534no—
1218#553—534no—
1219#553—534no—
1220#553—534no—
1221#553—534no—
1222#553—534no—
1223#553—534no—
1224#553—534no—
1225#553—534no—
1226#553—532no—
1227#553—532no—
1228#553—534no—
1229#553—532no—
1230#553—532no—
1231#553—534no—
1232#553—534no—
1233#553—532no—
1234#553—532no—
1235#553—532no—
1236#553—532no—
1237#552—534no—
1238#552—534no—
1239#552—534no—
1240#552—534no—
1241#552—534no—
1242#552—534no—
1243#552—534no—
1244#552—534no—
1245#552—534no—
1246#552—534no—
1247#552—534no—
1248#552—534no—
1249#552—532no—
1250#552—532no—
1251#552—534no—
1252#552—532no—
1253#552—532no—
1254#552—534no—
1255#552—532no—
1256#552—532no—
1257#552—534no—
1258#552—534no—
1259#552—534no—
1260#552—534no—
1261#552—534no—
1262#552C2×D5314yes—
1263#552C2×D5312yes—
1264#552C2×D5312yescomplemented
1265#547—534no—
1266#547—534no—
1267#547—532no—
1268#547—534no—
1269#547—534no—
1270#547—534no—
1271#547—534no—
1272#547—534no—
1273#547—534no—
1274#547—534no—
1275#547—532no—
1276#547—532no—
1277#547—534no—
1278#547—532no—
1279#544—532no—
1280#544—534no—
1281#544—532no—
1282#544—532no—
1283#544—534no—
1284#544—534no—
1285#544—532no—
1286#544—532no—
1287#544—532no—
1288#544C2×D5312yes—
1289#544C2×D5312yescomplemented
1290#541—532no—
1291#541—534no—
1292#541—534no—
1293#541—534no—
1294#541—534no—
1295#541—534no—
1296#541—534no—
1297#541—534no—
1298#541—534no—
1299#541C2×D5312yescomplemented
1300#541C2×D5314yescomplemented
1301#540—532no—
1302#540—534no—
1303#540—532no—
1304#539—534no—
1305#539—534no—
1306#539—534no—
1307#539—534no—
1308#539—534no—
1309#539—534no—
1310#539—534no—
1311#539—534no—
1312#539—534no—
1313#539—534no—
1314#539—534no—
1315#539—534no—
1316#539—534no—
1317#539—534no—
1318#539—534no—
1319#539—534no—
1320#539—532no—
1321#539—532no—
1322#539—534no—
1323#539—534no—
1324#539—532no—
1325#539C2×D5312yes—
1326#537—532no—
1327#537—532no—
1328#537—534no—
1329#537—532no—
1330#537—532no—
1331#533—531no—
1332#533—531no—
1333#533—532no—
1334#533—531no—
1335#533—531no—
1336#533—531no—
1337#533—534no—
1338#533—532no—
1339#533C2×D5311yescharacteristic
1340#532—531no—
1341#532—531no—
1342#532—531no—
1343#532—531no—
1344#532—531no—
1345#532—531no—
1346#529—532no—
1347#529—532no—
1348#529—534no—
1349#529—532no—
1350#529—531no—
1351#529—532no—
1352#529—531no—
1353#529—532no—
1354#529—532no—
1355#529—532no—
1356#529—532no—
1357#529—532no—
1358#529—532no—
1359#529—532no—
1360#529—532no—
1361#529—532no—
1362#529—532no—
1363#529—534no—
1364#529—531no—
1365#529C2×D5311yescharacteristic
1366C2×#125—532no—
1367C2×#125—532no—
1368C2×#125—532no—
1369C2×#125—532no—
1370C2×#125—532no—
1371C2×#125—532no—
1372C2×#125—532no—
1373C2×#125—532no—
1374C2×#125—534no—
1375C2×#125—532no—
1376C2×#125—532no—
1377C2×#125—532no—
1378C2×#125—531no—
1379C2×#125—531no—
1380C2×#125—532no—
1381C2×#125—531no—
1382C2×#125C2×D5311yescharacteristic
1383#525—532no—
1384#525—534no—
1385#525—532no—
1386#525—532no—
1387#525—531no—
1388#525—534no—
1389#525—531no—
1390#525—532no—
1391#525—534no—
1392#525—532no—
1393#525—534no—
1394#520—532no—
1395#520—532no—
1396#520—534no—
1397#520—534no—
1398#520—532no—
1399#520—534no—
1400#520—534no—
1401#520—532no—
1402C4×#41—532no—
1403C4×#41—531no—
1404C4×#41—532no—
1405C4×#41—531no—
1406C4×#41—532no—
1407C4×#41—532no—
1408C4×#41—532no—
1409C22×C4⋊C4—532no—
1410C22×C4⋊C4—531no—
1411C22×C4⋊C4—532no—
1412C22×C4⋊C4—531no—
1413C22×C42—531no—
1414C53#6282511yescharacteristic, complemented, Sylow
1415C2×#41—532no—
1416C2×#41—531no—
1417C2×#41—532no—
1418C2×#41—534no—
1419C2×#41—532no—
1420C2×#41—531no—
1421C2×#41—534no—
1422C2×#41—532no—
1423C2×#41—532no—
1424C2×#41—534no—
1425C2×#41—534no—
1426C23×C4—531no—
1427C23×C4—532no—
1428C23×C4—532no—
1429C23×C4—531no—
1430C23×C4—531no—
1431C4⋊Q8—531no—
1432C4⋊Q8—534no—
1433C4⋊Q8—534no—
1434C4⋊Q8—531no—
1435C4⋊Q8—531no—
1436C4⋊Q8—534no—
1437C4⋊Q8—532no—
1438C4⋊Q8—532no—
1439C4⋊Q8—534no—
1440C4⋊Q8—534no—
1441C4⋊Q8—534no—
1442C4⋊Q8—534no—
1443C4⋊Q8—531no—
1444C4⋊Q8—532no—
1445C4⋊Q8—534no—
1446C4⋊Q8C22×D5311yescharacteristic
1447C4⋊Q8C22×D5311yescharacteristic
1448C4⋊Q8C22×D5312yes—
1449C4⋊Q8C22×D5314yes—
1450C4⋊Q8C22×D5314yes—
1451#127—531no—
1452#127—531no—
1453#126—534no—
1454#126—534no—
1455#126—532no—
1456#126—534no—
1457#126—534no—
1458#126—534no—
1459#126—534no—
1460#126—534no—
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—532no—
1471#126—534no—
1472#126—534no—
1473#126—532no—
1474#126—534no—
1475#126—534no—
1476#126—534no—
1477#126—534no—
1478#126C22×D5312yes—
1479#126C22×D5314yes—
1480#126C22×D5314yes—
1481#126C22×D5314yes—
1482#126C22×D5314yes—
1483#125—534no—
1484#125—532no—
1485#125—532no—
1486#125—534no—
1487#125—534no—
1488#125—532no—
1489#125—532no—
1490#125—534no—
1491#125—534no—
1492#125—532no—
1493#125—532no—
1494#125—534no—
1495#125—534no—
1496#125—532no—
1497#125—532no—
1498#125—534no—
1499#125—532no—
1500#125—532no—
1501#125—534no—
1502#125—534no—
1503#125—534no—
1504#125—534no—
1505#125—534no—
1506#125—534no—
1507#125—534no—
1508#125—534no—
1509#125—532no—
1510#125—532no—
1511#125—532no—
1512#125—532no—
1513#125—534no—
1514#125—534no—
1515#125—534no—
1516#125—534no—
1517#125—534no—
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—532no—
1529#125—532no—
1530#125—532no—
1531#125—532no—
1532#125—534no—
1533#125—532no—
1534#125—531no—
1535#125—534no—
1536#125—534no—
1537#125C22×D5312yes—
1538#125C22×D5312yes—
1539#125C22×D5312yes—
1540#125C22×D5312yes—
1541#125C22×D5314yes—
1542#125C22×D5312yes—
1543#125C22×D5312yes—
1544#125C22×D5311yescharacteristic
1545#125C22×D5314yes—
1546#125C22×D5314yes—
1547#125C22×D5314yes—
1548#125C22×D5314yes—
1549#125C22×D5314yes—
1550#125C22×D5314yes—
1551#125C22×D5314yes—
1552#124—532no—
1553#124—532no—
1554#124—532no—
1555#124—532no—
1556#124—532no—
1557#124—531no—
1558#124C22×D5311yescharacteristic
1559#123—532no—
1560#123—534no—
1561#123—534no—
1562#123—534no—
1563#123—532no—
1564#123—534no—
1565#123—532no—
1566#123—534no—
1567#123—534no—
1568#123—534no—
1569#123—534no—
1570#123—534no—
1571#123—534no—
1572#123—534no—
1573#123—534no—
1574#123—534no—
1575#123—534no—
1576#123—534no—
1577#123—534no—
1578#123—534no—
1579#123—534no—
1580#123—534no—
1581#123—534no—
1582#123—532no—
1583#123—532no—
1584#123—534no—
1585#123—534no—
1586#123—534no—
1587#123—534no—
1588#123—534no—
1589#123—534no—
1590#123—534no—
1591#123—534no—
1592#123—534no—
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—531no—
1602C22⋊Q8—532no—
1603C22⋊Q8—534no—
1604C22⋊Q8—532no—
1605C22⋊Q8—532no—
1606C22⋊Q8—534no—
1607C22⋊Q8—534no—
1608C22⋊Q8—534no—
1609C22⋊Q8—534no—
1610C22⋊Q8—534no—
1611C22⋊Q8—534no—
1612C22⋊Q8—531no—
1613C22⋊Q8—532no—
1614C22⋊Q8—532no—
1615C22⋊Q8—532no—
1616C22⋊Q8—532no—
1617C22⋊Q8—531no—
1618C22⋊Q8—532no—
1619C22⋊Q8—534no—
1620C22⋊Q8—534no—
1621C22⋊Q8—534no—
1622C22⋊Q8—534no—
1623C22⋊Q8—534no—
1624C22⋊Q8—534no—
1625C22⋊Q8—534no—
1626C22⋊Q8—534no—
1627C22⋊Q8—534no—
1628C22⋊Q8—534no—
1629C22⋊Q8—534no—
1630C22⋊Q8—534no—
1631C22⋊Q8—534no—
1632C22⋊Q8—534no—
1633C22⋊Q8—534no—
1634C22⋊Q8—534no—
1635C22⋊Q8—534no—
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—532no—
1645C22⋊Q8—534no—
1646C22⋊Q8—534no—
1647C22⋊Q8—534no—
1648C22⋊Q8—534no—
1649C22⋊Q8—534no—
1650C22⋊Q8—534no—
1651C22⋊Q8C22×D5312yes—
1652C22⋊Q8C22×D5312yes—
1653C22⋊Q8C22×D5311yescharacteristic
1654C22⋊Q8C22×D5314yes—
1655C22⋊Q8C22×D5312yes—
1656C22⋊Q8C22×D5312yes—
1657C22⋊Q8C22×D5314yes—
1658C22⋊Q8C22×D5314yes—
1659C22⋊Q8C22×D5314yes—
1660#121—532no—
1661#121—531no—
1662#121—534no—
1663#121—534no—
1664#121—532no—
1665#121—531no—
1666#121—532no—
1667#121—534no—
1668#121—532no—
1669#121—532no—
1670#121—534no—
1671#121—532no—
1672#121—532no—
1673#121—532no—
1674#121—531no—
1675#121—532no—
1676#121—534no—
1677#121—534no—
1678#121—534no—
1679#121—532no—
1680#121—532no—
1681#121—534no—
1682#121—534no—
1683#121—534no—
1684#121—532no—
1685#121—532no—
1686#121—532no—
1687#121—534no—
1688#121—534no—
1689#121—534no—
1690#121—534no—
1691#121—534no—
1692#121—534no—
1693#121—534no—
1694#121—534no—
1695#121C22×D5311yescharacteristic
1696#120—532no—
1697#120—532no—
1698#120—534no—
1699C4×Q8—531no—
1700C4×Q8—532no—
1701C4×Q8—532no—
1702C4×Q8—532no—
1703C4×Q8—532no—
1704C4×Q8—534no—
1705C4×Q8—532no—
1706C4×Q8—531no—
1707C4×Q8—532no—
1708C4×Q8—532no—
1709C4×Q8—532no—
1710C4×Q8—532no—
1711C4×Q8—534no—
1712C4×Q8—534no—
1713C4×Q8—532no—
1714C4×Q8—531no—
1715C4×Q8—534no—
1716C4×Q8—534no—
1717C4×Q8—534no—
1718C4×Q8—534no—
1719C4×Q8—534no—
1720C4×Q8—534no—
1721C4×Q8C22×D5312yes—
1722C4×Q8C22×D5312yes—
1723C4×Q8C22×D5311yescharacteristic
1724C4×Q8C22×D5312yes—
1725C4×Q8C22×D5312yes—
1726C4×Q8C22×D5314yes—
1727C4×D4—532no—
1728C4×D4—531no—
1729C4×D4—532no—
1730C4×D4—532no—
1731C4×D4—532no—
1732C4×D4—534no—
1733C4×D4—534no—
1734C4×D4—534no—
1735C4×D4—534no—
1736C4×D4—532no—
1737C4×D4—534no—
1738C4×D4—534no—
1739C4×D4—532no—
1740C4×D4—532no—
1741C4×D4—531no—
1742C4×D4—532no—
1743C4×D4—532no—
1744C4×D4—532no—
1745C4×D4—532no—
1746C4×D4—534no—
1747C4×D4—534no—
1748C4×D4—534no—
1749C4×D4—534no—
1750C4×D4—534no—
1751C4×D4—532no—
1752C4×D4—532no—
1753C4×D4—532no—
1754C4×D4—532no—
1755C4×D4—534no—
1756C4×D4—534no—
1757C4×D4—532no—
1758C4×D4—532no—
1759C4×D4—532no—
1760C4×D4—532no—
1761C4×D4—532no—
1762C4×D4—534no—
1763C4×D4—534no—
1764C4×D4—534no—
1765C4×D4—534no—
1766C4×D4—534no—
1767C4×D4—534no—
1768C4×D4—534no—
1769C4×D4—534no—
1770C4×D4—534no—
1771C4×D4—532no—
1772C4×D4—534no—
1773C4×D4—532no—
1774C4×D4—531no—
1775C4×D4—532no—
1776C4×D4—534no—
1777C4×D4—534no—
1778C4×D4—534no—
1779C4×D4—534no—
1780C4×D4—534no—
1781C4×D4—534no—
1782C4×D4—534no—
1783C4×D4—534no—
1784C4×D4—532no—
1785C4×D4—532no—
1786C4×D4C22×D5312yes—
1787C4×D4C22×D5311yescharacteristic
1788C4×D4C22×D5314yes—
1789#117—532no—
1790#117—532no—
1791#117—532no—
1792#117—531no—
1793#117—531no—
1794#117—534no—
1795#117—534no—
1796#117—532no—
1797#117—532no—
1798#117—534no—
1799#117—534no—
1800#117—534no—
1801#117—534no—
1802#117—532no—
1803#117—532no—
1804#117—532no—
1805#117—532no—
1806#117—532no—
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#117—534no—
1818#117C22×D5312yes—
1819#117C22×D5312yes—
1820#117C22×D5314yes—
1821#117C22×D5314yes—
1822#117C22×D5312yes—
1823C2×C4⋊C4—532no—
1824C2×C4⋊C4—532no—
1825C2×C4⋊C4—532no—
1826C2×C4⋊C4—532no—
1827C2×C4⋊C4—532no—
1828C2×C4⋊C4—532no—
1829C2×C4⋊C4—531no—
1830C2×C4⋊C4—532no—
1831C2×C4⋊C4—532no—
1832C2×C4⋊C4—531no—
1833C2×C4⋊C4—534no—
1834C2×C4⋊C4—534no—
1835C2×C4⋊C4—532no—
1836C2×C4⋊C4—532no—
1837C2×C4⋊C4—532no—
1838C2×C4⋊C4—534no—
1839C2×C4⋊C4—534no—
1840C2×C4⋊C4—532no—
1841C2×C4⋊C4—532no—
1842C2×C4⋊C4—532no—
1843C2×C4⋊C4—532no—
1844C2×C4⋊C4—534no—
1845C2×C4⋊C4—534no—
1846C2×C4⋊C4—532no—
1847C2×C4⋊C4—532no—
1848C2×C4⋊C4—534no—
1849C2×C4⋊C4—534no—
1850C2×C4⋊C4—534no—
1851C2×C4⋊C4—534no—
1852C2×C4⋊C4—534no—
1853C2×C4⋊C4—534no—
1854C2×C4⋊C4—534no—
1855C2×C4⋊C4—534no—
1856C2×C4⋊C4—534no—
1857C2×C4⋊C4—534no—
1858C2×C4⋊C4—534no—
1859C2×C4⋊C4—534no—
1860C2×C4⋊C4—532no—
1861C2×C4⋊C4—532no—
1862C2×C4⋊C4C22×D5312yes—
1863C2×C4⋊C4C22×D5311yescharacteristic
1864C2×C4⋊C4C22×D5312yes—
1865C2×C4⋊C4C22×D5311yescharacteristic
1866C2×C4⋊C4C22×D5312yes—
1867C2×C42—532no—
1868C2×C42—531no—
1869C2×C42—531no—
1870C2×C42—531no—
1871C2×C42—532no—
1872C2×C42—534no—
1873C2×C42—531no—
1874C2×C42—531no—
1875C2×C42—531no—
1876C2×C42—531no—
1877C2×C42—531no—
1878C2×C42—531no—
1879C2×C42—531no—
1880C2×C42—531no—
1881C2×C42C22×D5311yescharacteristic
1882C24—531no—
1883#41—1068no—
1884#41—1068no—
1885#41—2124no—
1886#41—2128no—
1887#41—2128no—
1888#41—2124no—
1889#41—2128no—
1890#41—2122no—
1891#41—2122no—
1892#41—2124no—
1893#41—2128no—
1894C2×Q8—532no—
1895C2×Q8—534no—
1896C2×Q8—534no—
1897C2×Q8—534no—
1898C2×Q8—531no—
1899C2×Q8—532no—
1900C2×Q8—532no—
1901C2×Q8C23×D5312yes—
1902C2×Q8C23×D5314yes—
1903C2×Q8C23×D5311yescharacteristic
1904C2×Q8C23×D5312yes—
1905C2×D4—532no—
1906C2×D4—532no—
1907C2×D4—532no—
1908C2×D4—532no—
1909C2×D4—534no—
1910C2×D4—534no—
1911C2×D4—534no—
1912C2×D4—532no—
1913C2×D4—532no—
1914C2×D4—534no—
1915C2×D4—532no—
1916C2×D4—534no—
1917C2×D4—532no—
1918C2×D4—534no—
1919C2×D4—534no—
1920C2×D4—531no—
1921C2×D4—532no—
1922C2×D4—532no—
1923C2×D4C23×D5312yes—
1924C2×D4C23×D5311yescharacteristic
1925C22×C4—531no—
1926C22×C4—531no—
1927C22×C4—531no—
1928C22×C4—532no—
1929C22×C4—531no—
1930C22×C4—532no—
1931C22×C4—532no—
1932C22×C4—532no—
1933C22×C4—534no—
1934C22×C4—531no—
1935C22×C4—531no—
1936C22×C4—531no—
1937C22×C4—531no—
1938C22×C4—531no—
1939C22×C4—534no—
1940C22×C4—532no—
1941C22×C4—534no—
1942C22×C4—531no—
1943C22×C4—531no—
1944C22×C4—531no—
1945C22×C4—531no—
1946C22×C4—531no—
1947C22×C4—531no—
1948C22×C4—534no—
1949C22×C4—532no—
1950C22×C4—532no—
1951C22×C4—534no—
1952C22×C4—534no—
1953C22×C4—534no—
1954C22×C4—534no—
1955C22×C4—534no—
1956C22×C4—534no—
1957C22×C4—534no—
1958C22×C4—534no—
1959C22×C4—534no—
1960C22×C4—534no—
1961C22×C4—1064no—
1962C22×C4—2124no—
1963C22×C4—2122no—
1964C22×C4—2124no—
1965C22×C4—2122no—
1966C22×C4C23×D5311yescharacteristic
1967C22×C4C23×D5311yescharacteristic
1968C22×C4C23×D5312yes—
1969C22×C4C23×D5312yes—
1970C22×C4C23×D5311yescharacteristic
1971C22×C4C23×D5312yes—
1972C22×C4C23×D5314yes—
1973C4⋊C4—534no—
1974C4⋊C4—534no—
1975C4⋊C4—532no—
1976C4⋊C4—532no—
1977C4⋊C4—534no—
1978C4⋊C4—534no—
1979C4⋊C4—534no—
1980C4⋊C4—534no—
1981C4⋊C4—534no—
1982C4⋊C4—534no—
1983C4⋊C4—534no—
1984C4⋊C4—534no—
1985C4⋊C4—534no—
1986C4⋊C4—534no—
1987C4⋊C4—534no—
1988C4⋊C4—534no—
1989C4⋊C4—534no—
1990C4⋊C4—534no—
1991C4⋊C4—532no—
1992C4⋊C4—532no—
1993C4⋊C4—532no—
1994C4⋊C4—532no—
1995C4⋊C4—532no—
1996C4⋊C4—534no—
1997C4⋊C4—532no—
1998C4⋊C4—532no—
1999C4⋊C4—534no—
2000C4⋊C4—532no—
2001C4⋊C4—534no—
2002C4⋊C4—534no—
2003C4⋊C4—534no—
2004C4⋊C4—534no—
2005C4⋊C4—534no—
2006C4⋊C4—534no—
2007C4⋊C4—534no—
2008C4⋊C4—534no—
2009C4⋊C4—534no—
2010C4⋊C4—534no—
2011C4⋊C4—534no—
2012C4⋊C4—534no—
2013C4⋊C4—534no—
2014C4⋊C4—534no—
2015C4⋊C4—534no—
2016C4⋊C4—534no—
2017C4⋊C4—532no—
2018C4⋊C4—531no—
2019C4⋊C4—532no—
2020C4⋊C4—532no—
2021C4⋊C4—531no—
2022C4⋊C4—532no—
2023C4⋊C4—532no—
2024C4⋊C4—534no—
2025C4⋊C4—532no—
2026C4⋊C4—532no—
2027C4⋊C4—532no—
2028C4⋊C4—534no—
2029C4⋊C4C23×D5312yes—
2030C4⋊C4C23×D5314yes—
2031C4⋊C4C23×D5312yes—
2032C4⋊C4C23×D5314yes—
2033C4⋊C4C23×D5314yes—
2034C4⋊C4C23×D5314yes—
2035C4⋊C4C23×D5312yes—
2036C4⋊C4C23×D5312yes—
2037C4⋊C4C23×D5312yes—
2038C4⋊C4C23×D5314yes—
2039C4⋊C4C23×D5312yes—
2040C4⋊C4C23×D5314yes—
2041C4⋊C4C23×D5314yes—
2042C4⋊C4C23×D5314yes—
2043C4⋊C4C23×D5314yes—
2044C4⋊C4C23×D5314yes—
2045C4⋊C4C23×D5314yes—
2046C4⋊C4C23×D5314yes—
2047C4⋊C4C23×D5312yes—
2048C4⋊C4C23×D5311yescharacteristic
2049C4⋊C4C23×D5314yes—
2050C4⋊C4C23×D5314yes—
2051C4⋊C4C23×D5311yescharacteristic
2052C4⋊C4C23×D5312yes—
2053C4⋊C4C23×D5312yes—
2054C4⋊C4C23×D5312yes—
2055C4⋊C4C23×D5312yes—
2056C4⋊C4C23×D5312yes—
2057C22⋊C4—532no—
2058C22⋊C4—532no—
2059C22⋊C4—534no—
2060C22⋊C4—532no—
2061C22⋊C4—532no—
2062C22⋊C4—532no—
2063C22⋊C4—534no—
2064C22⋊C4—532no—
2065C22⋊C4—534no—
2066C22⋊C4—534no—
2067C22⋊C4—532no—
2068C22⋊C4—534no—
2069C22⋊C4—532no—
2070C22⋊C4—532no—
2071C22⋊C4—534no—
2072C22⋊C4—532no—
2073C22⋊C4—532no—
2074C22⋊C4—534no—
2075C22⋊C4—534no—
2076C22⋊C4—534no—
2077C22⋊C4—534no—
2078C22⋊C4—534no—
2079C22⋊C4—534no—
2080C22⋊C4—534no—
2081C22⋊C4—534no—
2082C22⋊C4—534no—
2083C22⋊C4—534no—
2084C22⋊C4—534no—
2085C22⋊C4—534no—
2086C22⋊C4—534no—
2087C22⋊C4—534no—
2088C22⋊C4—532no—
2089C22⋊C4—532no—
2090C22⋊C4—534no—
2091C22⋊C4C23×D5312yes—
2092C22⋊C4C23×D5314yes—
2093C22⋊C4C23×D5312yes—
2094C22⋊C4C23×D5314yes—
2095C22⋊C4C23×D5312yes—
2096C22⋊C4C23×D5312yes—
2097C22⋊C4C23×D5312yes—
2098C22⋊C4C23×D5314yes—
2099C22⋊C4C23×D5314yes—
2100C42—531no—
2101C42—531no—
2102C42—531no—
2103C42—531no—
2104C42—531no—
2105C42—531no—
2106C42—531no—
2107C42—531no—
2108C42—531no—
2109C42—531no—
2110C42—531no—
2111C42—531no—
2112C42—532no—
2113C42—532no—
2114C42—532no—
2115C42—532no—
2116C42—534no—
2117C42—534no—
2118C42—532no—
2119C42—534no—
2120C42—534no—
2121C42—534no—
2122C42—534no—
2123C42—534no—
2124C42C23×D5311yescharacteristic
2125C42C23×D5311yescharacteristic
2126C42C23×D5311yescharacteristic
2127C42C23×D5311yescharacteristic
2128C42C23×D5314yes—
2129C42C23×D5312yes—
2130C42C23×D5314yes—
2131C42C23×D5314yes—
2132C42C23×D5314yes—
2133C23—531no—
2134C23—531no—
2135C23—532no—
2136C23—534no—
2137C23—1062no—
2138C23—1062no—
2139C23—1062no—
2140C23C24×D5312yes—
2141C23C24×D5311yescharacteristic
2142Q8—24no—
2143Q8—44no—
2144Q8—41no—
2145Q8—42no—
2146Q8—1064no—
2147Q8—2121no—
2148Q8—2124no—
2149Q8—2124no—
2150Q8—2122no—
2151Q8—2124no—
2152Q8—2122no—
2153D4—24no—
2154D4—41no—
2155D4—1064no—
2156D4—1068no—
2157D4—1068no—
2158D4—1064no—
2159D4—1064no—
2160D4—1064no—
2161D4—1064no—
2162D4—1064no—
2163D4—1068no—
2164D4—1064no—
2165D4—2124no—
2166D4—2121no—
2167D4—2122no—
2168D4—2124no—
2169D4—2122no—
2170D4—2124no—
2171D4—2124no—
2172D4—2122no—
2173C2×C4—22no—
2174C2×C4—24no—
2175C2×C4—22no—
2176C2×C4—24no—
2177C2×C4—42no—
2178C2×C4—41no—
2179C2×C4—44no—
2180C2×C4—531no—
2181C2×C4—534no—
2182C2×C4—531no—
2183C2×C4—531no—
2184C2×C4—531no—
2185C2×C4—532no—
2186C2×C4—531no—
2187C2×C4—532no—
2188C2×C4—534no—
2189C2×C4—532no—
2190C2×C4—531no—
2191C2×C4—534no—
2192C2×C4—534no—
2193C2×C4—1062no—
2194C2×C4—1068no—
2195C2×C4—1062no—
2196C2×C4—1068no—
2197C2×C4—1062no—
2198C2×C4—1062no—
2199C2×C4—1062no—
2200C2×C4—1062no—
2201C2×C4—1064no—
2202C2×C4—1062no—
2203C2×C4—1064no—
2204C2×C4—2124no—
2205C2×C4—2121no—
2206C2×C4—2121no—
2207C2×C4—2121no—
2208C2×C4—2121no—
2209C2×C4—2124no—
2210C2×C4—2124no—
2211C2×C4—2121no—
2212C2×C4—2121no—
2213C2×C4—2124no—
2214C2×C4—2124no—
2215C2×C4—2124no—
2216C2×C4—2122no—
2217C2×C4—2124no—
2218C2×C4—2124no—
2219C2×C4—2124no—
2220C2×C4—2124no—
2221C2×C4—2122no—
2222C2×C4—2124no—
2223C2×C4—2121no—
2224C2×C4—2122no—
2225C2×C4—2122no—
2226C2×C4—2122no—
2227C2×C4—2124no—
2228C2×C4C24×D5312yes—
2229C2×C4C24×D5314yes—
2230C2×C4C24×D5311yescharacteristic
2231C2×C4C24×D5311yescharacteristic
2232C2×C4C24×D5314yes—
2233C2×C4C24×D5311yescharacteristic
2234C2×C4C24×D5311yescharacteristic
2235C2×C4C24×D5311yescharacteristic
2236C2×C4C24×D5312yes—
2237C2×C4C24×D5312yes—
2238C2×C4C24×D5314yes—
2239C2×C4C24×D5314yes—
2240C2×C4C24×D5311yescharacteristic
2241C22—21no—
2242C22—21no—
2243C22—22no—
2244C22—22no—
2245C22—22no—
2246C22—532no—
2247C22—532no—
2248C22—1068no—
2249C22—1061no—
2250C22—1061no—
2251C22—1061no—
2252C22—1061no—
2253C22—1064no—
2254C22—1062no—
2255C22—1062no—
2256C22—1064no—
2257C22—1064no—
2258C22—1062no—
2259C22#1681146012yes—
2260C22C25×D5311yescharacteristic
2261C4—21no—
2262C4—22no—
2263C4—24no—
2264C4—24no—
2265C4—21no—
2266C4—21no—
2267C4—24no—
2268C4—22no—
2269C4—21no—
2270C4—24no—
2271C4—21no—
2272C4—22no—
2273C4—532no—
2274C4—1061no—
2275C4—1062no—
2276C4—1061no—
2277C4—1061no—
2278C4—1064no—
2279C4—1062no—
2280C4—1061no—
2281C4—1064no—
2282C4—1061no—
2283C4—1064no—
2284C4—1062no—
2285C42−1+4×D5312yes—
2286C2—22no—
2287C2—42no—
2288C2—1062no—
2289C2—1062no—
2290C2—2124no—
2291C2—2122no—
2292C2C2×2−1+4×D5311yescharacteristic
2293C2#585×D5311yescharacteristic
2294C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3563C2
hypercenter#3563D53
hypocenterC53#62825
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. #20289320C2semidirect
4. #20289314C2semidirect
5. #20289252C2semidirect
6. #20289251C2semidirect
7. #20289249C2semidirect
8. #20289248C2semidirect
9. #20289246C2semidirect
10. #20289172C2semidirect
11. #20289169C2semidirect
12. #20289166C2semidirect
13. #20288694C2semidirect
14. #20288692C2semidirect
15. #20288691C2semidirect
16. #20288690C2semidirect
17. #20288690C2semidirect
18. #20288682C2semidirect
19. #20288638C2semidirect
20. #20288629C2semidirect
21. #20288540C2semidirect
22. #20288538C2semidirect
23. #20288425C2semidirect
24. #20288423C2semidirect
25. #20288420C2semidirect
26. #20288415C2semidirect
27. #20288415C2semidirect
28. #20288012C2semidirect
29. #20288009C2semidirect
30. C2×#125×D53C2semidirect
31. C53×#3563C2semidirect
32. C53⋊#564C22semidirect
33. C53⋊#564C22semidirect
34. #16811377C22semidirect
35. #16811377C22semidirect
36. #16811377C22semidirect
37. #16811375C22semidirect
38. #16811372C22semidirect
39. #16811371C22semidirect
40. #16811369C22semidirect
41. #16811367C22semidirect
42. #16811352C22semidirect
43. #16811350C22semidirect
44. #16811349C22semidirect
45. #16811349C22semidirect
46. #16811348C22semidirect
49. #16811334C22semidirect
52. #16811333C22semidirect
56. #16811331C22semidirect
61. #16811329C22semidirect
62. #16811329C22semidirect
65. #16811327C22semidirect
70. #16811326C22semidirect
75. #16811324C22semidirect
76. #16811324C22semidirect
79. #16811321C22semidirect
81. #16811319C22semidirect
85. #16811317C22semidirect
88. #16811315C22semidirect
89. #16811315C22semidirect
91. #16811314C22semidirect
92. #16811314C22semidirect
95. #16811311C22semidirect
96. #16811311C22semidirect
98. #16811309C22semidirect
99. #16811309C22semidirect
101. #16811307C22semidirect
105. #16811306C22semidirect
108. #16811305C22semidirect
109. #16811305C22semidirect
110. #16811305C22semidirect
127. #16811253C22semidirect
128. #16811253C22semidirect
130. #16811251C22semidirect
132. #16811250C22semidirect
133. #16811250C22semidirect
134. #16811236C22semidirect
135. #16811234C22semidirect
136. #16811234C22semidirect
137. #16811232C22semidirect
138. #16811232C22semidirect
139. #16811232C22semidirect
140. #16811232C22semidirect
141. #16811231C22semidirect
142. #16811230C22semidirect
143. #16811229C22semidirect
144. #16811228C22semidirect
145. #16811225C22semidirect
149. #16811222C22semidirect
154. #16811221C22semidirect
155. #16811221C22semidirect
156. #16811221C22semidirect
159. #16811219C22semidirect
161. #16811217C22semidirect
165. #16811214C22semidirect
166. #16811214C22semidirect
175. #16811178C22semidirect
177. #16811177C22semidirect
178. #16811176C22semidirect
188. #16811160C22semidirect
189. #16811160C22semidirect
192. #16811159C22semidirect
193. #16811159C22semidirect
200. #16811156C22semidirect
203. #16811151C22semidirect
208. C2×#13133208C22semidirect
219. #125×D53C22semidirect
220. #125×D53C22semidirect
252. C53×#564C22semidirect
253. C53×#563C22semidirect
254. C53×#557C22semidirect
258. C53×#552C22semidirect
260. C53×#544C22semidirect
261. C53×#541C22semidirect
262. C53×#541C22semidirect
1143. #3563D53semidirect
1181. #564C2×D53semidirect
1187. #563C2×D53semidirect
1196. #557C2×D53semidirect
1264. #552C2×D53semidirect
1289. #544C2×D53semidirect
1299. #541C2×D53semidirect
1300. #541C2×D53semidirect
1414. C53#62825semidirect

Maximal subgroups

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

subgroupindex
#202893252
#202893242
#202893202
#202893142
#202892522
#202892512
#202892492
#202892482
#202892462
#202891722
#202891692
#202891662
#202886942
#202886922
#202886912
#202886902
#202886822
#202886382
#202886292
#202885402
#202885382
#202884252
#202884232
#202884202
#202884152
#202880122
#202880092
C2×#125×D532
C53×#35632
#6282553