Finite Group Databasebeta

← #28293043

Subgroups — #28293043

Order 13568.

6428 conjugacy classes of subgroups.

The subgroup lattice has 2498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289319C212yesmaximal, complemented
2#20289316C212yesmaximal, complemented
3#20289312C214yesmaximal, complemented
4#20289208C212yesmaximal, complemented
5#20289201C212yesmaximal, complemented
6#20289198C212yesmaximal, complemented
7#20289193C212yesmaximal, complemented
8#20289190C212yesmaximal, complemented
9#20289123C212yesmaximal, complemented
10#20288955C214yesmaximal, complemented
11#20288809C212yesmaximal, complemented
12#20288804C214yesmaximal, complemented
13#20288803C212yesmaximal, complemented
14#20288600C211yesmaximal, characteristic, complemented
15#20288596C211yesmaximal, characteristic, complemented
16#20288595C212yesmaximal, complemented
17#20288593C212yesmaximal, complemented
18#20288593C212yesmaximal, complemented
19#20288579C211yesmaximal, characteristic, complemented
20#20288573C211yesmaximal, characteristic, complemented
21#20288571C212yesmaximal, complemented
22#20288530C211yesmaximal, characteristic, complemented
23#20288529C212yesmaximal, complemented
24#20288528C211yesmaximal, characteristic, complemented
25#20288523C211yesmaximal, characteristic, complemented
26#20288521C211yesmaximal, characteristic, complemented
27#20288520C212yesmaximal, complemented
28#20288469C211yesmaximal, characteristic, complemented
29#20288467C211yesmaximal, characteristic, complemented
30#20288461C211yesmaximal, characteristic, complemented
31#20288454C214yesmaximal, complemented
32#20288007C211yesmaximal, characteristic
33C2×#16811176C211yesmaximal, characteristic, complemented
34C2×#16811175C211yesmaximal, characteristic, complemented
35C53×#3495C211yesmaximal, characteristic, complemented
36C53⋊#564C2214yescomplemented
37C53⋊#564C2214yescomplemented
38#16811376C2214yes—
39#16811375C2214yes—
40#16811375C2214yes—
41#16811375C2214yescomplemented
42#16811374C2214yescomplemented
43#16811373C2214yes—
44#16811356C2212yescomplemented
45#16811355C2212yescomplemented
46Q8×Dic106C2212yescomplemented
47Q8×Dic106C2212yescomplemented
48Q8×Dic106C2212yescomplemented
49#16811353C2212yescomplemented
50#16811353C2212yescomplemented
51#16811353C2212yescomplemented
52#16811352C2212yescomplemented
53#16811352C2212yescomplemented
54#16811351C2214yescomplemented
55#16811351C2214yescomplemented
56#16811351C2212yescomplemented
57#16811351C2212yescomplemented
58#16811351C2212yescomplemented
59#16811350C2214yescomplemented
60#16811350C2214yescomplemented
61#16811350C2212yescomplemented
62#16811350C2212yescomplemented
63#16811350C2212yescomplemented
64#16811350C2212yescomplemented
65#16811350C2214yescomplemented
66#16811350C2212yescomplemented
67#16811350C2214yescomplemented
68#16811349C2212yescomplemented
69#16811349C2212yescomplemented
70#16811349C2212yescomplemented
71#16811349C2212yescomplemented
72#16811349C2212yescomplemented
73#16811348C2212yescomplemented
74#16811348C2212yescomplemented
75#16811348C2212yescomplemented
76#16811348C2212yescomplemented
77#16811348C2212yescomplemented
78#16811347C2212yescomplemented
79#16811345C2212yescomplemented
80#16811345C2212yescomplemented
81#16811345C2212yescomplemented
82#16811344C2212yes—
83#16811344C2212yescomplemented
84#16811343C2212yes—
85#16811343C2212yescomplemented
86#16811342C2214yes—
87#16811342C2212yescomplemented
88#16811342C2212yescomplemented
89#16811342C2212yescomplemented
90#16811341C2212yes—
91#16811341C2214yescomplemented
92#16811341C2212yescomplemented
93#16811340C2214yes—
94#16811340C2214yescomplemented
95#16811340C2214yescomplemented
96#16811332C2214yes—
97#16811332C2212yescomplemented
98#16811331C2212yes—
99#16811331C2212yescomplemented
100#16811330C2212yes—
101#16811329C2212yescomplemented
102#16811328C2212yes—
103#16811328C2212yescomplemented
104#16811327C2214yes—
105#16811315C2214yes—
106#16811315C2212yes—
107#16811315C2212yescomplemented
108#16811313C2214yes—
109#16811313C2212yes—
110#16811313C2212yes—
111#16811312C2212yes—
112#16811312C2212yescomplemented
113#16811310C2214yes—
114#16811310C2214yes—
115#16811310C2214yes—
116#16811310C2214yes—
117#16811310C2214yes—
118#16811310C2214yes—
119#16811309C2214yes—
120#16811309C2214yescomplemented
121#16811308C2214yes—
122#16811308C2212yes—
123#16811308C2212yescomplemented
124#16811307C2212yes—
125#16811307C2212yescomplemented
126#16811306C2214yes—
127#16811306C2214yes—
128#16811306C2214yes—
129#16811306C2214yes—
130#16811306C2214yes—
131#16811306C2214yescomplemented
132#16811304C2214yes—
133#16811299C2214yes—
134#16811299C2214yes—
135D4×Dic106C2214yes—
136D4×Dic106C2214yes—
137D4×Dic106C2212yescomplemented
138#16811288C2212yescomplemented
139#16811286C2214yes—
140#16811286C2214yes—
141#16811286C2214yescomplemented
142#16811254C2211yescharacteristic
143#16811254C2212yescomplemented
144#16811253C2214yescomplemented
145#16811253C2212yescomplemented
146#16811252C2214yes—
147#16811252C2214yes—
148#16811252C2214yes—
149#16811252C2214yescomplemented
150#16811251C2214yes—
151#16811251C2211yescharacteristic
152#16811251C2211yescharacteristic
153#16811251C2214yes—
154#16811251C2212yescomplemented
155#16811250C2212yescomplemented
156#16811246C2212yes—
157#16811244C2212yes—
158#16811241C2214yes—
159#16811240C2212yes—
160#16811237C2214yes—
161#16811236C2214yescomplemented
162#16811235C2212yes—
163#16811235C2214yescomplemented
164#16811233C2212yes—
165#16811233C2212yes—
166#16811233C2214yescomplemented
167#16811233C2212yescomplemented
168#16811233C2212yescomplemented
169#16811232C2214yescomplemented
170#16811232C2214yescomplemented
171#16811232C2214yescomplemented
172#16811232C2214yescomplemented
173#16811231C2214yescomplemented
174#16811231C2212yescomplemented
175#16811231C2212yescomplemented
176#16811230C2214yes—
177#16811230C2214yes—
178#16811230C2214yes—
179#16811230C2214yes—
180#16811230C2214yescomplemented
181#16811230C2214yescomplemented
182#16811230C2214yescomplemented
183#16811230C2214yescomplemented
184#16811217C2214yes—
185#16811217C2214yes—
186#16811215C2214yes—
187#16811215C2214yes—
188#16811199C2211yescharacteristic
189#16811197C2211yescharacteristic
190#16811195C2214yes—
191#16811195C2214yes—
192#16811194C2211yescharacteristic
193#16811193C2214yes—
194#16811180C2212yes—
195#16811179C2212yescomplemented
196#16811177C2212yescomplemented
197#16811177C2212yescomplemented
198#16811176C2211yescharacteristic
199#16811176C2211yescharacteristic
200#16811176C2211yescharacteristic
201#16811176C2211yescharacteristic
202#16811176C2212yes—
203#16811176C2212yes—
204#16811176C2211yescharacteristic
205#16811176C2211yescharacteristic
206#16811176C2212yes—
207#16811176C2211yescharacteristic
208#16811176C2212yes—
209#16811176C2211yescharacteristic
210#16811176C2211yescharacteristic
211#16811176C2214yes—
212#16811176C2212yescomplemented
213#16811175C2212yes—
214#16811175C2212yes—
215#16811175C2212yes—
216#16811175C2212yes—
217#16811175C2212yes—
218#16811175C2212yes—
219#16811175C2212yes—
220#16811175C2212yes—
221#16811175C2211yescharacteristic
222#16811175C2211yescharacteristic
223#16811175C2212yes—
224#16811175C2212yes—
225#16811175C2214yes—
226#16811175C2212yescomplemented
227#16811175C2212yescomplemented
228#16811169C2211yescharacteristic
229#16811168C2211yescharacteristic
230#16811168C2211yescharacteristic
231C2×#13133216C2211yescharacteristic
232C2×#13133216C2211yescharacteristic
233C2×#13133216C2211yescharacteristic
234C2×#13133216C2212yescomplemented
235C2×#13133215C2211yescharacteristic
236C4⋊Q8×D53C2212yescomplemented
237#16811159C2211yescharacteristic
238#16811159C2211yescharacteristic
239#16811159C2212yes—
240#16811157C2212yes—
241#16811154C2211yescharacteristic
242#16811154C2211yescharacteristic
243#16811154C2212yes—
244#16811153C2212yes—
245#16811153C2212yes—
246#16811153C2214yes—
247#16811150C2212yes—
248#16811150C2212yes—
249#16811150C2214yes—
250C2×#13133208C2211yescharacteristic
251C2×#13133208C2211yescharacteristic
252C2×#13133207C2212yes—
253#16811134C2211yescharacteristic
254#16811129C2212yes—
255#16811129C2212yes—
256C2×#13133196C2211yescharacteristic
257C2×#13133194C2212yes—
258C2×#13133194C2212yes—
259C2×#13133194C2212yes—
260#16811106C2211yescharacteristic
261#16811104C2211yescharacteristic
262#16811103C2211yescharacteristic
263#16811102C2214yes—
264#16811101C2211yescharacteristic
265#16811100C2214yes—
266#16811100C2211yescharacteristic
267#16811100C2211yescharacteristic
268#16811100C2214yescomplemented
269#16811099C2214yescomplemented
270#41×Dic53C2211yescharacteristic
271#16811091C2211yescharacteristic
272C4×#11719947C2212yes—
273C4×#11719947C2212yes—
274C2×Q8×Dic53C2211yescharacteristic
275C2×C4×Dic106C2212yes—
276C2×C4×Dic106C2212yes—
277C2×#13133182C2211yescharacteristic
278C2×#13133182C2212yes—
279C2×#13133176C2211yescharacteristic
280C2×#13133173C2212yes—
281C22×C4×Dic53C2211yescharacteristic
282C53×#556C2212yes—
283C53×#554C2212yes—
284C53×#552C2214yes—
285C53×#552C2212yes—
286C53×#552C2212yes—
287C53×#551C2214yes—
288C53×#544C2211yescharacteristic
289C53×#542C2212yes—
290C53×#541C2212yes—
291C53×#536C2211yescharacteristic
292C53×#533C2212yes—
293C53×#529C2212yes—
294C53×#525C2211yescharacteristic
295C2×C22⋊Q8×C53C2211yescharacteristic
296C53×#520C2211yescharacteristic
297C53×#519C2211yescharacteristic
298C2×#117×C53C2211yescharacteristic
299C2×#11719945C2311yescharacteristic
300C2×#11719947C2312yes—
301C2×#11719947C2312yes—
302C22×Dic106C2311yescharacteristic
303C22×Dic106C2312yes—
304C22×Dic106C2312yes—
305C22×Dic106C2312yes—
306C22×Dic106C2314yes—
307C2×Q8×D53C2314yes—
308C23×Dic53C2311yescharacteristic
309C23×Dic53C2311yescharacteristic
310#13133217C2314yes—
311#13133217C2314yes—
312#13133217C2312yes—
313#13133217C2312yes—
314#13133217C2312yes—
315#13133217C2314yes—
316#13133216C2314yes—
317#13133216C2314yes—
318#13133216C2314yes—
319#13133216C2314yes—
320#13133216C2312yes—
321#13133216C2314yes—
322#13133216C2312yes—
323#13133216C2312yes—
324#13133216C2314yes—
325#13133216C2314yes—
326#13133216C2312yes—
327#13133216C2312yes—
328#13133216C2311yescharacteristic
329#13133216C2312yes—
330#13133216C2312yes—
331#13133216C2311yescharacteristic
332#13133216C2314yes—
333#13133216C2312yes—
334#13133216C2314yes—
335#13133216C2311yescharacteristic
336#13133216C2314yes—
337#13133216C2311yescharacteristic
338#13133216C2311yescharacteristic
339#13133216C2314yes—
340#13133216C2314yes—
341#13133216C2311yescharacteristic
342#13133216C2311yescharacteristic
343#13133216C2312yes—
344#13133216C2311yescharacteristic
345#13133216C2312yes—
346#13133216C2311yescharacteristic
347#13133216C2311yescharacteristic
348#13133216C2312yes—
349#13133216C2312yes—
350#13133215C2314yes—
351#13133215C2314yes—
352#13133215C2314yes—
353#13133215C2314yes—
354#13133215C2312yes—
355#13133215C2312yes—
356#13133215C2312yes—
357#13133215C2312yes—
358#13133215C2311yescharacteristic
359#13133215C2314yes—
360#13133215C2312yes—
361#13133215C2312yes—
362#13133213C2311yescharacteristic
363#13133212C2314yes—
364#13133212C2314yes—
365#13133212C2314yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133212C2314yes—
369#13133212C2314yes—
370#13133212C2314yes—
371#13133212C2312yes—
372#13133212C2312yes—
373#13133211C2314yes—
374#13133211C2314yes—
375#13133211C2314yes—
376#13133211C2314yes—
377#13133210C2314yes—
378#13133210C2314yes—
379#13133210C2314yes—
380#13133210C2314yes—
381#13133210C2314yes—
382#13133210C2314yes—
383#13133210C2314yes—
384#13133210C2314yes—
385#13133210C2314yes—
386#13133210C2314yes—
387#13133210C2314yes—
388#13133210C2314yes—
389#13133210C2314yes—
390#13133210C2314yes—
391#13133210C2314yes—
392#13133210C2314yes—
393#13133210C2312yes—
394#13133210C2312yes—
395#13133209C2314yes—
396#13133209C2314yes—
397#13133209C2314yes—
398#13133209C2314yes—
399#13133209C2314yes—
400#13133209C2314yes—
401#13133209C2314yes—
402#13133209C2312yes—
403#13133209C2312yes—
404#13133208C2312yes—
405#13133208C2311yescharacteristic
406#13133208C2312yes—
407#13133208C2314yes—
408#13133208C2311yescharacteristic
409#13133208C2314yes—
410#13133208C2314yes—
411#13133208C2314yes—
412#13133208C2314yes—
413#13133208C2314yes—
414#13133208C2314yes—
415#13133208C2314yes—
416#13133208C2311yescharacteristic
417#13133208C2314yes—
418#13133208C2311yescharacteristic
419#13133208C2314yes—
420#13133208C2312yes—
421#13133208C2312yes—
422#13133208C2311yescharacteristic
423#13133208C2311yescharacteristic
424#13133208C2312yes—
425#13133208C2312yes—
426#13133208C2312yes—
427#13133208C2311yescharacteristic
428#13133208C2311yescharacteristic
429#13133208C2312yes—
430#13133208C2311yescharacteristic
431#13133208C2311yescharacteristic
432#13133207C2314yes—
433#13133207C2314yes—
434#13133207C2314yes—
435#13133207C2314yes—
436#13133207C2314yes—
437#13133207C2314yes—
438#13133207C2314yes—
439#13133207C2314yes—
440#13133207C2314yes—
441#13133207C2314yes—
442#13133207C2314yes—
443#13133207C2314yes—
444#13133207C2314yes—
445#13133207C2314yes—
446#13133207C2314yes—
447#13133207C2314yes—
448#13133207C2314yes—
449#13133207C2314yes—
450#13133207C2314yes—
451#13133207C2314yes—
452#13133207C2314yes—
453#13133207C2314yes—
454#13133207C2314yes—
455#13133207C2314yes—
456#13133207C2314yes—
457#13133207C2314yes—
458#13133207C2314yes—
459#13133207C2312yes—
460#13133207C2314yes—
461#13133207C2312yes—
462#13133207C2314yes—
463#13133207C2314yes—
464#13133206C2311yescharacteristic
465#13133206C2312yes—
466#13133205C2312yes—
467#13133204C2314yes—
468#13133204C2311yescharacteristic
469#13133204C2312yes—
470#13133203C2314yes—
471#13133203C2314yes—
472#13133203C2312yes—
473#13133203C2314yes—
474#13133203C2314yes—
475#13133203C2312yes—
476#13133201C2314yes—
477#13133201C2314yes—
478#13133201C2312yes—
479#13133201C2314yes—
480#13133201C2312yes—
481#13133200C2314yes—
482#13133200C2314yes—
483#13133200C2312yes—
484#13133200C2314yes—
485#13133199C2314yes—
486#13133199C2314yes—
487#13133199C2314yes—
488#13133199C2314yes—
489#13133198C2314yes—
490#13133198C2314yes—
491#13133198C2314yes—
492#13133198C2312yes—
493#13133198C2312yes—
494#13133197C2314yes—
495#13133197C2314yes—
496#13133197C2314yes—
497#13133197C2312yes—
498#13133197C2312yes—
499#13133196C2314yes—
500#13133196C2314yes—
501#13133196C2314yes—
502#13133196C2314yes—
503#13133196C2314yes—
504#13133196C2312yes—
505#13133196C2312yes—
506#13133196C2312yes—
507#13133196C2312yes—
508#13133196C2312yes—
509#13133196C2312yes—
510#13133196C2311yescharacteristic
511#13133196C2311yescharacteristic
512#13133195C2314yes—
513#13133195C2314yes—
514#13133195C2314yes—
515#13133195C2314yes—
516#13133195C2314yes—
517#13133195C2314yes—
518#13133195C2314yes—
519#13133195C2314yes—
520#13133194C2312yes—
521#13133194C2314yes—
522#13133194C2314yes—
523#13133194C2314yes—
524#13133194C2314yes—
525#13133194C2314yes—
526#13133194C2312yes—
527#13133194C2314yes—
528#13133194C2314yes—
529#13133194C2314yes—
530#13133194C2314yes—
531#13133194C2314yes—
532#13133194C2314yes—
533#13133194C2312yes—
534#13133194C2314yes—
535#13133194C2312yes—
536#13133194C2314yes—
537#13133194C2312yes—
538#13133194C2312yes—
539#13133194C2312yes—
540#13133194C2314yes—
541#13133194C2312yes—
542#13133194C2312yes—
543#13133194C2312yes—
544#13133194C2314yes—
545#13133194C2314yes—
546#13133194C2312yes—
547#13133194C2312yes—
548#13133194C2312yes—
549#13133194C2312yes—
550#13133194C2312yes—
551#13133194C2312yes—
552#13133194C2312yes—
553#13133194C2312yes—
554#13133194C2312yes—
555#13133194C2312yes—
556#13133193C2314yes—
557#13133193C2312yes—
558#13133193C2312yes—
559#13133191C2311yescharacteristic
560#13133191C2311yescharacteristic
561#13133189C2312yes—
562#13133189C2312yes—
563#13133189C2312yes—
564#13133189C2312yes—
565#13133186C2312yes—
566Q8×Dic53C2312yes—
567Q8×Dic53C2312yes—
568Q8×Dic53C2314yes—
569Q8×Dic53C2312yes—
570Q8×Dic53C2312yes—
571Q8×Dic53C2312yes—
572Q8×Dic53C2312yes—
573Q8×Dic53C2312yes—
574Q8×Dic53C2312yes—
575Q8×Dic53C2312yes—
576Q8×Dic53C2311yescharacteristic
577Q8×Dic53C2311yescharacteristic
578C4×Dic106C2312yes—
579C4×Dic106C2314yes—
580C4×Dic106C2314yes—
581C4×Dic106C2312yes—
582C4×Dic106C2314yes—
583C4×Dic106C2314yes—
584C4×Dic106C2314yes—
585C4×Dic106C2312yes—
586C4×Dic106C2314yes—
587C4×Dic106C2312yes—
588C4×Dic106C2312yes—
589C4×Dic106C2314yes—
590C4×Dic106C2312yes—
591C4×Dic106C2312yes—
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594C4×Dic106C2314yes—
595C4×Dic106C2312yes—
596C4×Dic106C2314yes—
597C4×Dic106C2314yes—
598C4×Dic106C2312yes—
599C4×Dic106C2312yes—
600C4×Dic106C2312yes—
601C4×Dic106C2312yes—
602C4×Dic106C2312yes—
603C4×Dic106C2312yes—
604C4×Dic106C2312yes—
605C4×Dic106C2312yes—
606C4×Dic106C2312yes—
607C4×Dic106C2312yes—
608C4×Dic106C2312yes—
609C4×Dic106C2312yes—
610C4×Dic106C2312yes—
611#13133182C2314yes—
612#13133182C2314yes—
613#13133182C2314yes—
614#13133182C2312yes—
615#13133182C2314yes—
616#13133182C2312yes—
617#13133182C2314yes—
618#13133182C2314yes—
619#13133182C2314yes—
620#13133182C2314yes—
621#13133182C2312yes—
622#13133182C2312yes—
623#13133182C2314yes—
624#13133182C2314yes—
625#13133182C2314yes—
626#13133182C2312yes—
627#13133182C2312yes—
628#13133182C2314yes—
629#13133182C2314yes—
630#13133182C2312yes—
631#13133182C2314yes—
632#13133182C2312yes—
633#13133182C2312yes—
634#13133182C2312yes—
635#13133182C2312yes—
636#13133182C2311yescharacteristic
637#13133182C2311yescharacteristic
638C4×D212C2312yes—
639D4×Dic53C2312yes—
640D4×Dic53C2312yes—
641D4×Dic53C2314yes—
642D4×Dic53C2314yes—
643D4×Dic53C2311yescharacteristic
644D4×Dic53C2312yes—
645D4×Dic53C2312yes—
646D4×Dic53C2312yes—
647D4×Dic53C2311yescharacteristic
648#13133179C2311yescharacteristic
649#13133179C2312yes—
650#13133179C2311yescharacteristic
651C4×C22⋊D53C2314yes—
652C4×C22⋊D53C2314yes—
653C4×C22⋊D53C2314yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2312yes—
657C4×C22⋊D53C2312yes—
658#13133177C2312yes—
659#13133177C2312yes—
660#13133177C2314yes—
661#13133177C2314yes—
662#13133177C2312yes—
663#13133177C2314yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133177C2312yes—
667#13133176C2314yes—
668#13133176C2314yes—
669#13133176C2311yescharacteristic
670#13133176C2312yes—
671#13133176C2312yes—
672#13133176C2314yes—
673#13133176C2311yescharacteristic
674#13133176C2311yescharacteristic
675#13133176C2311yescharacteristic
676#13133176C2312yes—
677#13133176C2311yescharacteristic
678#13133176C2312yes—
679#13133175C2314yes—
680#13133175C2314yes—
681#13133175C2312yes—
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133174C2314yes—
686#13133174C2314yes—
687#13133174C2314yes—
688#13133174C2314yes—
689#13133174C2312yes—
690#13133173C2314yes—
691#13133173C2314yes—
692#13133173C2314yes—
693#13133173C2314yes—
694#13133173C2314yes—
695#13133173C2314yes—
696#13133173C2314yes—
697#13133173C2314yes—
698#13133173C2314yes—
699#13133173C2314yes—
700#13133173C2314yes—
701#13133173C2314yes—
702#13133173C2312yes—
703#13133173C2312yes—
704#13133173C2312yes—
705#13133173C2312yes—
706C2×C4⋊Dic53C2311yescharacteristic
707C2×C4⋊Dic53C2312yes—
708C2×C4⋊Dic53C2312yes—
709C2×C4⋊Dic53C2311yescharacteristic
710C2×C4⋊Dic53C2312yes—
711C2×C4⋊Dic53C2311yescharacteristic
712C2×C4⋊Dic53C2312yes—
713C2×#11719919C2312yes—
714C2×#11719919C2312yes—
715C2×#11719919C2312yes—
716C2×#11719919C2312yes—
717C2×#11719919C2312yes—
718C2×#11719919C2314yes—
719C2×#11719919C2312yes—
720C2×#11719919C2312yes—
721C2×#11719919C2312yes—
722C2×#11719919C2312yes—
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2312yes—
725C4⋊C4×D53C2314yes—
726C2×C22⋊Dic53C2312yes—
727C2×C22⋊Dic53C2312yes—
728C2×C4×Dic53C2311yescharacteristic
729C2×C4×Dic53C2311yescharacteristic
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2311yescharacteristic
734C2×C4×Dic53C2311yescharacteristic
735C2×C4×Dic53C2311yescharacteristic
736C2×C4×Dic53C2311yescharacteristic
737C2×C4×Dic53C2311yescharacteristic
738C2×C4×Dic53C2311yescharacteristic
739C2×C4×Dic53C2311yescharacteristic
740C2×C4×Dic53C2312yes—
741C2×C4×Dic53C2312yes—
742C2×C4×Dic53C2312yes—
743C2×C4×Dic53C2312yes—
744C42×D53C2312yes—
745C2×#41×C53C2311yescharacteristic
746C22×Q8×C53C2311yescharacteristic
747C23×C4×C53C2311yescharacteristic
748C4⋊Q8×C53C2312yes—
749C4⋊Q8×C53C2312yes—
750C4⋊Q8×C53C2312yes—
751#126×C53C2314yes—
752#126×C53C2314yes—
753#126×C53C2314yes—
754#126×C53C2314yes—
755#125×C53C2312yes—
756#125×C53C2314yes—
757#125×C53C2314yes—
758#125×C53C2314yes—
759#125×C53C2312yes—
760#124×C53C2312yes—
761#124×C53C2314yes—
762#123×C53C2312yes—
763#123×C53C2314yes—
764#123×C53C2314yes—
765#123×C53C2314yes—
766C22⋊Q8×C53C2314yes—
767C22⋊Q8×C53C2314yes—
768C22⋊Q8×C53C2314yes—
769C22⋊Q8×C53C2312yes—
770C22⋊Q8×C53C2312yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2311yescharacteristic
774C22⋊Q8×C53C2311yescharacteristic
775C22⋊Q8×C53C2312yes—
776C22⋊Q8×C53C2312yes—
777#121×C53C2311yescharacteristic
778#121×C53C2311yescharacteristic
779#120×C53C2312yes—
780C4×Q8×C53C2312yes—
781C4×Q8×C53C2312yes—
782C4×Q8×C53C2312yes—
783C4×Q8×C53C2312yes—
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2314yes—
786C4×D4×C53C2314yes—
787C4×D4×C53C2314yes—
788C4×D4×C53C2312yes—
789C4×D4×C53C2312yes—
790C4×D4×C53C2312yes—
791#117×C53C2311yescharacteristic
792#117×C53C2312yes—
793#117×C53C2311yescharacteristic
794#117×C53C2311yescharacteristic
795#117×C53C2312yes—
796#117×C53C2311yescharacteristic
797#117×C53C2311yescharacteristic
798#117×C53C2314yes—
799#117×C53C2312yes—
800#117×C53C2314yes—
801#117×C53C2314yes—
802C2×C4⋊C4×C53C2311yescharacteristic
803C2×C4⋊C4×C53C2311yescharacteristic
804C2×C4⋊C4×C53C2311yescharacteristic
805C2×C4⋊C4×C53C2312yes—
806C2×C4⋊C4×C53C2312yes—
807C2×C22⋊C4×C53C2312yes—
808C2×C22⋊C4×C53C2312yes—
809C2×C42×C53C2312yes—
810C24×C53C2411yescharacteristic
811#41×C53—24no—
812C2×Q8×C53—24no—
813C2×Q8×C53C2412yes—
814C2×Q8×C53C2412yes—
815C2×Q8×C53C2411yescharacteristic
816C2×Q8×C53C2414yes—
817C2×D4×C53C2412yes—
818C2×D4×C53C2412yes—
819C2×D4×C53C2411yescharacteristic
820C2×D4×C53C2412yes—
821C22×C4×C53—24no—
822C22×C4×C53C2411yescharacteristic
823C22×C4×C53C2412yes—
824C22×C4×C53C2412yes—
825C22×C4×C53C2411yescharacteristic
826C22×C4×C53C2411yescharacteristic
827C22×C4×C53C2412yes—
828C22×C4×C53C2411yescharacteristic
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2412yes—
831C22×C4×C53C2412yes—
832C22×C4×C53C2414yes—
833C22×C4×C53C2411yescharacteristic
834C2×C22⋊D53C2412yes—
835C2×C22⋊D53C2412yes—
836C2×C22⋊D53C2412yes—
837C2×C22⋊D53C2412yes—
838C2×C22⋊D53C2412yes—
839C22×Dic53—24no—
840C22×Dic53—42no—
841C22×Dic53C2411yescharacteristic
842C22×Dic53C2411yescharacteristic
843C22×Dic53C2411yescharacteristic
844C22×Dic53C2411yescharacteristic
845C22×Dic53C2411yescharacteristic
846C22×Dic53C2411yescharacteristic
847C22×Dic53C2411yescharacteristic
848C22×Dic53C2411yescharacteristic
849C22×Dic53C2412yes—
850C22×Dic53C2412yes—
851C22×Dic53C2412yes—
852C22×Dic53C2412yes—
853C22×Dic53C2411yescharacteristic
854C22×Dic53C2411yescharacteristic
855C22×Dic53C2411yescharacteristic
856C22×Dic53C2412yes—
857C22×Dic53C2412yes—
858C22×Dic53C2414yes—
859C22×Dic53C2411yescharacteristic
860Q8×D53—48no—
861#11719947—28no—
862#11719947—44no—
863#11719945—24no—
864C2×D212C2411yescharacteristic
865C2×C4×D53C2412yes—
866C2×C4×D53C2412yes—
867C2×C4×D53C2412yes—
868C2×C4×D53C2414yes—
869C2×C4×D53C2414yes—
870C2×Dic106—24no—
871C2×Dic106—28no—
872C2×Dic106—48no—
873C2×Dic106—44no—
874C2×Dic106—44no—
875C2×Dic106C2412yes—
876C2×Dic106C2412yes—
877C2×Dic106C2412yes—
878C2×Dic106C2412yes—
879C2×Dic106C2411yescharacteristic
880C2×Dic106C2412yes—
881C2×Dic106C2414yes—
882C2×Dic106C2412yes—
883C2×Dic106C2412yes—
884C2×Dic106C2412yes—
885C2×Dic106C2412yes—
886C2×Dic106C2414yes—
887C2×Dic106C2414yes—
888C2×Dic106C2414yes—
889C2×Dic106C2412yes—
890C2×Dic106C2412yes—
891C2×Dic106C2412yes—
892C2×Dic106C2414yes—
893C4⋊C4×C53C2411yescharacteristic
894C4⋊C4×C53C2412yes—
895C4⋊C4×C53C2411yescharacteristic
896C4⋊C4×C53C2411yescharacteristic
897C4⋊C4×C53C2412yes—
898C4⋊C4×C53C2411yescharacteristic
899C4⋊C4×C53C2412yes—
900C4⋊C4×C53C2414yes—
901C4⋊C4×C53C2412yes—
902C4⋊C4×C53C2414yes—
903C4⋊C4×C53C2414yes—
904C4⋊C4×C53C2411yescharacteristic
905C4⋊C4×C53C2411yescharacteristic
906C4⋊C4×C53C2414yes—
907C4⋊C4×C53C2414yes—
908C4⋊C4×C53C2414yes—
909C4⋊C4×C53C2414yes—
910C4⋊C4×C53C2414yes—
911C4⋊C4×C53C2412yes—
912C4⋊C4×C53C2412yes—
913C4⋊C4×C53C2414yes—
914C4⋊C4×C53C2414yes—
915C22⋊C4×C53C2412yes—
916C22⋊C4×C53C2412yes—
917C22⋊C4×C53C2412yes—
918C22⋊C4×C53C2412yes—
919C22⋊C4×C53C2414yes—
920C22⋊C4×C53C2414yes—
921C22⋊C4×C53C2412yes—
922C22⋊C4×C53C2412yes—
923C22⋊C4×C53C2412yes—
924C22⋊C4×C53C2414yes—
925C22⋊C4×C53C2414yes—
926C22⋊C4×C53C2412yes—
927C22⋊C4×C53C2412yes—
928C22⋊C4×C53C2414yes—
929C42×C53C2412yes—
930C42×C53C2412yes—
931C42×C53C2412yes—
932C42×C53C2412yes—
933C42×C53C2414yes—
934C42×C53C2414yes—
935C42×C53C2414yes—
936C42×C53C2412yes—
937C22⋊Dic53C2414yes—
938C22⋊Dic53C2412yes—
939C22⋊Dic53C2414yes—
940C22⋊Dic53C2412yes—
941C22⋊Dic53C2412yes—
942C22⋊Dic53C2412yes—
943C22⋊Dic53C2412yes—
944C22⋊Dic53C2412yes—
945C22⋊Dic53C2412yes—
946C22⋊Dic53C2414yes—
947C22⋊Dic53C2412yes—
948C22⋊Dic53C2412yes—
949C22⋊Dic53C2414yes—
950C22⋊Dic53C2412yes—
951C22⋊Dic53C2412yes—
952C22⋊Dic53C2414yes—
953#11719921C2414yes—
954#11719921C2412yes—
955#11719921C2412yes—
956#11719921C2414yes—
957#11719921C2414yes—
958#11719921C2412yes—
959#11719921C2412yes—
960#11719921C2414yes—
961#11719921C2412yes—
962#11719921C2412yes—
963#11719921C2414yes—
964#11719921C2414yes—
965C4⋊Dic53C2411yescharacteristic
966C4⋊Dic53C2412yes—
967C4⋊Dic53C2414yes—
968C4⋊Dic53C2411yescharacteristic
969C4⋊Dic53C2411yescharacteristic
970C4⋊Dic53C2412yes—
971C4⋊Dic53C2411yescharacteristic
972C4⋊Dic53C2412yes—
973C4⋊Dic53C2412yes—
974C4⋊Dic53C2412yes—
975C4⋊Dic53C2412yes—
976C4⋊Dic53C2414yes—
977C4⋊Dic53C2412yes—
978C4⋊Dic53C2412yes—
979C4⋊Dic53C2412yes—
980C4⋊Dic53C2412yes—
981C4⋊Dic53C2412yes—
982C4⋊Dic53C2412yes—
983C4⋊Dic53C2414yes—
984C4⋊Dic53C2414yes—
985C4⋊Dic53C2412yes—
986C4⋊Dic53C2412yes—
987C4⋊Dic53C2414yes—
988C4⋊Dic53C2411yescharacteristic
989C4⋊Dic53C2411yescharacteristic
990C4⋊Dic53C2412yes—
991C4⋊Dic53C2412yes—
992C4⋊Dic53C2414yes—
993C4⋊Dic53C2414yes—
994C4⋊Dic53C2414yes—
995C4⋊Dic53C2414yes—
996C4⋊Dic53C2414yes—
997#11719919C2412yes—
998#11719919C2414yes—
999#11719919C2414yes—
1000#11719919C2414yes—
1001#11719919C2412yes—
1002#11719919C2414yes—
1003#11719919C2412yes—
1004#11719919C2412yes—
1005#11719919C2414yes—
1006#11719919C2414yes—
1007#11719919C2414yes—
1008#11719919C2414yes—
1009#11719919C2412yes—
1010#11719919C2412yes—
1011#11719919C2412yes—
1012#11719919C2414yes—
1013#11719919C2412yes—
1014#11719919C2414yes—
1015#11719919C2414yes—
1016#11719919C2414yes—
1017#11719919C2414yes—
1018#11719919C2414yes—
1019#11719919C2412yes—
1020#11719919C2412yes—
1021#11719919C2412yes—
1022#11719919C2412yes—
1023#11719919C2412yes—
1024#11719919C2412yes—
1025#11719919C2412yes—
1026#11719919C2412yes—
1027#11719919C2412yes—
1028#11719919C2412yes—
1029#11719919C2412yes—
1030#11719919C2412yes—
1031#11719919C2412yes—
1032#11719919C2412yes—
1033#11719919C2412yes—
1034#11719919C2412yes—
1035#11719919C2414yes—
1036#11719919C2414yes—
1037#11719919C2414yes—
1038#11719919C2414yes—
1039#11719919C2414yes—
1040#11719919C2414yes—
1041#11719919C2414yes—
1042#11719919C2414yes—
1043#11719919C2414yes—
1044#11719919C2414yes—
1045#11719919C2412yes—
1046#11719919C2412yes—
1047#11719919C2414yes—
1048#11719919C2414yes—
1049C4×Dic53C2411yescharacteristic
1050C4×Dic53C2412yes—
1051C4×Dic53C2412yes—
1052C4×Dic53C2411yescharacteristic
1053C4×Dic53C2411yescharacteristic
1054C4×Dic53C2411yescharacteristic
1055C4×Dic53C2411yescharacteristic
1056C4×Dic53C2411yescharacteristic
1057C4×Dic53C2411yescharacteristic
1058C4×Dic53C2411yescharacteristic
1059C4×Dic53C2411yescharacteristic
1060C4×Dic53C2411yescharacteristic
1061C4×Dic53C2411yescharacteristic
1062C4×Dic53C2411yescharacteristic
1063C4×Dic53C2411yescharacteristic
1064C4×Dic53C2411yescharacteristic
1065C4×Dic53C2411yescharacteristic
1066C4×Dic53C2411yescharacteristic
1067C4×Dic53C2414yes—
1068C4×Dic53C2414yes—
1069C4×Dic53C2412yes—
1070C4×Dic53C2414yes—
1071C4×Dic53C2414yes—
1072C4×Dic53C2412yes—
1073C4×Dic53C2412yes—
1074C4×Dic53C2412yes—
1075C4×Dic53C2412yes—
1076C4×Dic53C2412yes—
1077C4×Dic53C2412yes—
1078C4×Dic53C2414yes—
1079C4×Dic53C2414yes—
1080C4×Dic53C2414yes—
1081C4×Dic53C2414yes—
1082C4×Dic53C2414yes—
1083C4×Dic53C2414yes—
1084C4×Dic53C2414yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C23×C53—22no—
1088C23×C53—22no—
1089C23×C53—41no—
1090C23×C53C2512yes—
1091C23×C53C2511yescharacteristic
1092C23×C53C2511yescharacteristic
1093C23×C53C2511yescharacteristic
1094C22×D53C2512yes—
1095Q8×C53—24no—
1096Q8×C53—24no—
1097Q8×C53—22no—
1098Q8×C53—44no—
1099D4×C53—24no—
1100D4×C53—24no—
1101D4×C53—22no—
1102D4×C53—42no—
1103C2×C4×C53—24no—
1104C2×C4×C53—22no—
1105C2×C4×C53—24no—
1106C2×C4×C53—22no—
1107C2×C4×C53—22no—
1108C2×C4×C53—22no—
1109C2×C4×C53—22no—
1110C2×C4×C53—24no—
1111C2×C4×C53—44no—
1112C2×C4×C53—42no—
1113C2×C4×C53—42no—
1114C2×C4×C532−1+414yes—
1115C2×C4×C53C2512yes—
1116C2×C4×C53C2514yes—
1117C2×C4×C53C2512yes—
1118C2×C4×C53C2512yes—
1119C2×C4×C53C2512yes—
1120C2×C4×C53C2512yes—
1121C2×C4×C53C2512yes—
1122C2×C4×C53C2511yescharacteristic
1123C2×C4×C53C2511yescharacteristic
1124C2×C4×C53C2512yes—
1125C2×C4×C53C2514yes—
1126C2×C4×C53C2511yescharacteristic
1127C2×C4×C53C2511yescharacteristic
1128C22⋊D53—24no—
1129C22⋊D53—24no—
1130C22⋊D53—24no—
1131C22⋊D53—42no—
1132C22⋊D53—42no—
1133C2×Dic53—24no—
1134C2×Dic53—24no—
1135C2×Dic53—22no—
1136C2×Dic53—24no—
1137C2×Dic53—22no—
1138C2×Dic53—22no—
1139C2×Dic53—22no—
1140C2×Dic53—22no—
1141C2×Dic53—24no—
1142C2×Dic53—22no—
1143C2×Dic53—22no—
1144C2×Dic53—22no—
1145C2×Dic53—42no—
1146C2×Dic53—42no—
1147C2×Dic53—44no—
1148C2×Dic53—41no—
1149C2×Dic53—41no—
1150C2×Dic53—41no—
1151C2×Dic532−1+414yes—
1152C2×Dic53C2512yes—
1153C2×Dic53C2512yes—
1154C2×Dic53C2514yes—
1155C2×Dic53C2512yes—
1156C2×Dic53C2511yescharacteristic
1157C2×Dic53C2511yescharacteristic
1158C2×Dic53C2511yescharacteristic
1159C2×Dic53C2514yes—
1160C2×Dic53C2512yes—
1161C2×Dic53C2512yes—
1162C2×Dic53C2512yes—
1163C2×Dic53C2512yes—
1164C2×Dic53C2511yescharacteristic
1165C2×Dic53C2511yescharacteristic
1166C2×Dic53C2511yescharacteristic
1167C2×Dic53C2511yescharacteristic
1168C2×Dic53C2511yescharacteristic
1169D212—22no—
1170C4×D53—24no—
1171C4×D53—24no—
1172C4×D53—24no—
1173C4×D53—44no—
1174C4×D53—44no—
1175Dic106—24no—
1176Dic106—24no—
1177Dic106—22no—
1178Dic106—24no—
1179Dic106—24no—
1180Dic106—24no—
1181Dic106—24no—
1182Dic106—24no—
1183Dic106—24no—
1184Dic106—28no—
1185Dic106—24no—
1186Dic106—42no—
1187Dic106—44no—
1188Dic106—44no—
1189Dic106—44no—
1190Dic106—42no—
1191Dic106—42no—
1192Dic106—44no—
1193#62837—531nomaximal, Sylow
1194C22×C53—21no—
1195C22×C53—21no—
1196C22×C53—21no—
1197C22×C53—21no—
1198C22×C53—21no—
1199C22×C53—22no—
1200C22×C53—21no—
1201C22×C53—22no—
1202C22×C53—22no—
1203C22×C53—21no—
1204C22×C53—44no—
1205C22×C53C2×2−1+412yes—
1206C22×C53C2×2−1+412yes—
1207C22×C53C2611yescharacteristic
1208C2×D53—22no—
1209C2×D53—22no—
1210C2×D53—22no—
1211C4×C53—22no—
1212C4×C53—22no—
1213C4×C53—22no—
1214C4×C53—21no—
1215C4×C53—21no—
1216C4×C53—22no—
1217C4×C53—24no—
1218C4×C53—22no—
1219C4×C53—24no—
1220C4×C53—22no—
1221C4×C53—22no—
1222C4×C53C2×2−1+412yes—
1223C4×C53C2×2−1+412yes—
1224Dic53—22no—
1225Dic53—22no—
1226Dic53—24no—
1227Dic53—22no—
1228Dic53—22no—
1229Dic53—21no—
1230Dic53—21no—
1231Dic53—22no—
1232Dic53—24no—
1233Dic53—22no—
1234Dic53—22no—
1235Dic53—21no—
1236Dic53—21no—
1237Dic53—21no—
1238Dic53C2×2−1+412yes—
1239Dic53C2×2−1+412yes—
1240Dic53#58512yes—
1241#3563—532no—
1242#3563—534no—
1243#3563—532no—
1244#3556—532no—
1245#3555—532no—
1246#3555—532no—
1247#3555—532no—
1248#3555—532no—
1249#3550—532no—
1250#3538—534no—
1251#3523—534no—
1252#3523—532no—
1253#3523—532no—
1254#3509—532no—
1255#3509—532no—
1256#3509—532no—
1257#3509—531no—
1258#3509—531no—
1259#3507—531no—
1260#3507—532no—
1261#3507—531no—
1262#3503—532no—
1263#3503—531no—
1264#3503—531no—
1265#3502—531no—
1266#3502—532no—
1267#3502—531no—
1268#3495—534no—
1269#3495—531no—
1270#3495—531no—
1271#3495—531no—
1272#3495D5311yescharacteristic, complemented
1273#3444—531no—
1274C2×#533—531no—
1275C2×#533—531no—
1276C2×C53—22no—
1277C2×C53—22no—
1278C2×C53—42no—
1279C2×C53—41no—
1280C2×C53C22×2−1+411yescharacteristic
1281C2×C53C22×2−1+411yescharacteristic
1282C2×C53C2×#58511yescharacteristic
1283D53—42no—
1284#564—534no—
1285#564—534no—
1286#563—534no—
1287#563—534no—
1288#563—534no—
1289#563—534no—
1290#563—534no—
1291#563—534no—
1292#559—532no—
1293#559—532no—
1294Q82—532no—
1295Q82—532no—
1296Q82—532no—
1297Q82—532no—
1298Q82—532no—
1299Q82—532no—
1300#557—532no—
1301#557—532no—
1302#557—532no—
1303#557—532no—
1304#557—532no—
1305#557—532no—
1306#557—532no—
1307#557—532no—
1308#557—534no—
1309#557—532no—
1310#557—534no—
1311#557—534no—
1312#557—532no—
1313#557—534no—
1314#557—532no—
1315#557—532no—
1316#557—532no—
1317#557—532no—
1318#557—532no—
1319#557—532no—
1320#557—532no—
1321#557—534no—
1322#557—534no—
1323#557—532no—
1324#557—532no—
1325#557—532no—
1326#556—532no—
1327#556—534no—
1328#556—534no—
1329#556—534no—
1330#556—534no—
1331#556—532no—
1332#556—532no—
1333#556—532no—
1334#556—532no—
1335#556—532no—
1336#556—532no—
1337#556—532no—
1338#556—532no—
1339#556—532no—
1340#556—532no—
1341#556—532no—
1342#556—532no—
1343#556—534no—
1344#556C2×D5312yes—
1345#554—532no—
1346#554—534no—
1347#554—532no—
1348#554—532no—
1349#554—532no—
1350#554—534no—
1351#554—532no—
1352#554—532no—
1353#554—532no—
1354#554C2×D5312yes—
1355#552—534no—
1356#552—534no—
1357#552—534no—
1358#552—534no—
1359#552—534no—
1360#552—534no—
1361#552—534no—
1362#552—534no—
1363#552—532no—
1364#552—532no—
1365#552—532no—
1366#552—534no—
1367#552—532no—
1368#552—532no—
1369#552—532no—
1370#552—534no—
1371#552—534no—
1372#552—534no—
1373#552—534no—
1374#552—534no—
1375#552—534no—
1376#552—534no—
1377#552—532no—
1378#552—532no—
1379#552—532no—
1380#552—534no—
1381#552—532no—
1382#552C2×D5312yes—
1383#552C2×D5312yes—
1384#552C2×D5314yes—
1385#551—534no—
1386#551—534no—
1387#551—534no—
1388#551C2×D5314yes—
1389D4×Q8—532no—
1390D4×Q8—534no—
1391D4×Q8—534no—
1392D4×Q8—534no—
1393D4×Q8—534no—
1394D4×Q8—534no—
1395D4×Q8—532no—
1396#544—532no—
1397#544—534no—
1398#544—532no—
1399#544—534no—
1400#544—534no—
1401#544—534no—
1402#544—534no—
1403#544—531no—
1404#544—531no—
1405#544—534no—
1406#544—534no—
1407#544—532no—
1408#544—531no—
1409#544—532no—
1410#544C2×D5311yescharacteristic
1411#542—534no—
1412#542—534no—
1413#542—532no—
1414#542—532no—
1415#542—532no—
1416#542C2×D5312yes—
1417#541—534no—
1418#541—534no—
1419#541—534no—
1420#541—534no—
1421#541—534no—
1422#541—534no—
1423#541—534no—
1424#541—534no—
1425#541—534no—
1426#541—534no—
1427#541—534no—
1428#541—534no—
1429#541—534no—
1430#541—532no—
1431#541—532no—
1432#541—532no—
1433#541—532no—
1434#541—534no—
1435#541—532no—
1436#541—532no—
1437#541—534no—
1438#541—532no—
1439#541—534no—
1440#541C2×D5312yes—
1441#539—534no—
1442#539—534no—
1443#539—534no—
1444#539—534no—
1445#536—531no—
1446#536—531no—
1447#536—534no—
1448#536—534no—
1449#536—534no—
1450#536—531no—
1451#536C2×D5311yescharacteristic
1452#533—532no—
1453#533—532no—
1454#533—532no—
1455#533—532no—
1456#533—532no—
1457#533—532no—
1458#533—532no—
1459#533—532no—
1460#533—532no—
1461#533—531no—
1462#533—531no—
1463#533—534no—
1464#533—532no—
1465#533—532no—
1466#533—532no—
1467#533—532no—
1468#533—532no—
1469#533—532no—
1470#533—531no—
1471#533—531no—
1472#533—531no—
1473#533—531no—
1474#533—531no—
1475#533—531no—
1476#533—532no—
1477#533—532no—
1478#533—532no—
1479#533—531no—
1480#533—531no—
1481#533—532no—
1482#533—531no—
1483#533—534no—
1484#533—532no—
1485#533—532no—
1486#533C2×D5312yes—
1487#532—531no—
1488#532—531no—
1489#532—531no—
1490C2×C4⋊Q8—531no—
1491C2×C4⋊Q8—532no—
1492C2×C4⋊Q8—531no—
1493C2×C4⋊Q8—531no—
1494C2×C4⋊Q8—531no—
1495C2×C4⋊Q8—532no—
1496#529—532no—
1497#529—532no—
1498#529—534no—
1499#529—531no—
1500#529—531no—
1501#529—532no—
1502#529—531no—
1503#529—531no—
1504#529—532no—
1505#529—532no—
1506#529—532no—
1507#529—534no—
1508#529—532no—
1509#529C2×D5312yes—
1510C2×#125—532no—
1511C2×#125—531no—
1512C2×#125—531no—
1513#525—531no—
1514#525—532no—
1515#525—532no—
1516#525C2×D5311yescharacteristic
1517C2×C22⋊Q8—531no—
1518C2×C22⋊Q8—532no—
1519C2×C22⋊Q8—532no—
1520C2×C22⋊Q8—532no—
1521C2×C22⋊Q8C2×D5311yescharacteristic
1522#520—531no—
1523#520—534no—
1524#520—531no—
1525#520—531no—
1526#520C2×D5311yescharacteristic
1527#519—531no—
1528#519—534no—
1529#519—531no—
1530#519—531no—
1531#519—534no—
1532#519—534no—
1533#519C2×D5311yescharacteristic
1534C4×#41—531no—
1535C4×#41—532no—
1536C4×#41—532no—
1537C4×#41—531no—
1538C2×C4×Q8—531no—
1539C2×C4×Q8—531no—
1540C2×C4×Q8—532no—
1541C2×C4×Q8—532no—
1542C2×C4×Q8—532no—
1543C2×#117—531no—
1544C2×#117—532no—
1545C2×#117C2×D5311yescharacteristic
1546C22×C42—531no—
1547C53#6283711yescharacteristic, complemented, Sylow
1548C2×#41—532no—
1549C2×#41—532no—
1550C2×#41—531no—
1551C2×#41C22×D5311yescharacteristic
1552C22×Q8—534no—
1553C22×Q8—532no—
1554C22×Q8—531no—
1555C22×Q8—532no—
1556C22×Q8—532no—
1557C22×Q8—534no—
1558C22×Q8C22×D5311yescharacteristic
1559C23×C4—531no—
1560C23×C4—531no—
1561C23×C4C22×D5311yescharacteristic
1562C4⋊Q8—532no—
1563C4⋊Q8—532no—
1564C4⋊Q8—532no—
1565C4⋊Q8—532no—
1566C4⋊Q8—534no—
1567C4⋊Q8—531no—
1568C4⋊Q8—532no—
1569C4⋊Q8—532no—
1570C4⋊Q8—534no—
1571C4⋊Q8—534no—
1572C4⋊Q8—534no—
1573C4⋊Q8—534no—
1574C4⋊Q8—531no—
1575C4⋊Q8—532no—
1576C4⋊Q8—531no—
1577C4⋊Q8—531no—
1578C4⋊Q8—531no—
1579C4⋊Q8—532no—
1580C4⋊Q8—532no—
1581C4⋊Q8—532no—
1582C4⋊Q8—532no—
1583C4⋊Q8—532no—
1584C4⋊Q8—532no—
1585C4⋊Q8—531no—
1586C4⋊Q8—531no—
1587C4⋊Q8—531no—
1588C4⋊Q8—531no—
1589C4⋊Q8—532no—
1590C4⋊Q8—534no—
1591C4⋊Q8—534no—
1592C4⋊Q8—534no—
1593C4⋊Q8—532no—
1594C4⋊Q8—532no—
1595C4⋊Q8—531no—
1596C4⋊Q8—531no—
1597C4⋊Q8—534no—
1598C4⋊Q8—534no—
1599C4⋊Q8—534no—
1600C4⋊Q8—532no—
1601C4⋊Q8—532no—
1602C4⋊Q8—534no—
1603C4⋊Q8—534no—
1604C4⋊Q8—534no—
1605C4⋊Q8—534no—
1606C4⋊Q8—534no—
1607C4⋊Q8—534no—
1608C4⋊Q8—532no—
1609C4⋊Q8—532no—
1610C4⋊Q8—532no—
1611C4⋊Q8—534no—
1612C4⋊Q8—534no—
1613C4⋊Q8—534no—
1614C4⋊Q8C22×D5312yes—
1615C4⋊Q8C22×D5312yes—
1616C4⋊Q8C22×D5312yes—
1617#127—531no—
1618#126—532no—
1619#126—532no—
1620#126—534no—
1621#126—534no—
1622#126—534no—
1623#126—534no—
1624#126—534no—
1625#126—534no—
1626#126—534no—
1627#126—534no—
1628#126—532no—
1629#126—532no—
1630#126—534no—
1631#126—534no—
1632#126—534no—
1633#126—534no—
1634#126—534no—
1635#126—534no—
1636#126—534no—
1637#126—534no—
1638#126—534no—
1639#126—534no—
1640#126—534no—
1641#126—534no—
1642#126—534no—
1643#126—534no—
1644#126—534no—
1645#126—534no—
1646#126—534no—
1647#126—534no—
1648#126—534no—
1649#126—534no—
1650#126C22×D5314yes—
1651#126C22×D5314yes—
1652#126C22×D5314yes—
1653#126C22×D5314yes—
1654#125—534no—
1655#125—532no—
1656#125—532no—
1657#125—534no—
1658#125—531no—
1659#125—531no—
1660#125—531no—
1661#125—531no—
1662#125—534no—
1663#125—531no—
1664#125—531no—
1665#125—531no—
1666#125—531no—
1667#125—534no—
1668#125—532no—
1669#125—532no—
1670#125—532no—
1671#125—531no—
1672#125—531no—
1673#125—532no—
1674#125—534no—
1675#125—534no—
1676#125—532no—
1677#125—532no—
1678#125—534no—
1679#125—534no—
1680#125—534no—
1681#125—534no—
1682#125—534no—
1683#125—534no—
1684#125—534no—
1685#125—534no—
1686#125—534no—
1687#125—534no—
1688#125—532no—
1689#125—532no—
1690#125—534no—
1691#125—534no—
1692#125—534no—
1693#125—534no—
1694#125—534no—
1695#125—534no—
1696#125—534no—
1697#125—534no—
1698#125—534no—
1699#125—534no—
1700#125—534no—
1701#125—534no—
1702#125—534no—
1703#125—534no—
1704#125—534no—
1705#125—534no—
1706#125—534no—
1707#125—534no—
1708#125—534no—
1709#125—534no—
1710#125—534no—
1711#125—534no—
1712#125—534no—
1713#125—534no—
1714#125—532no—
1715#125—534no—
1716#125—532no—
1717#125—534no—
1718#125—534no—
1719#125—534no—
1720#125—534no—
1721#125—534no—
1722#125—534no—
1723#125C22×D5312yes—
1724#125C22×D5312yes—
1725#125C22×D5314yes—
1726#125C22×D5314yes—
1727#125C22×D5314yes—
1728#124—531no—
1729#124—532no—
1730#124—531no—
1731#124—532no—
1732#124—534no—
1733#124—532no—
1734#124—532no—
1735#124—534no—
1736#124—534no—
1737#124—534no—
1738#124—534no—
1739#124—532no—
1740#124C22×D5312yes—
1741#124C22×D5314yes—
1742#123—532no—
1743#123—532no—
1744#123—534no—
1745#123—534no—
1746#123—534no—
1747#123—532no—
1748#123—534no—
1749#123—534no—
1750#123—534no—
1751#123—532no—
1752#123—532no—
1753#123—534no—
1754#123—534no—
1755#123—534no—
1756#123—534no—
1757#123—534no—
1758#123—534no—
1759#123—534no—
1760#123C22×D5312yes—
1761#123C22×D5314yes—
1762#123C22×D5314yes—
1763#123C22×D5314yes—
1764C22⋊Q8—532no—
1765C22⋊Q8—532no—
1766C22⋊Q8—534no—
1767C22⋊Q8—532no—
1768C22⋊Q8—532no—
1769C22⋊Q8—532no—
1770C22⋊Q8—532no—
1771C22⋊Q8—531no—
1772C22⋊Q8—531no—
1773C22⋊Q8—532no—
1774C22⋊Q8—532no—
1775C22⋊Q8—534no—
1776C22⋊Q8—534no—
1777C22⋊Q8—534no—
1778C22⋊Q8—534no—
1779C22⋊Q8—534no—
1780C22⋊Q8—534no—
1781C22⋊Q8—534no—
1782C22⋊Q8—534no—
1783C22⋊Q8—532no—
1784C22⋊Q8—534no—
1785C22⋊Q8—532no—
1786C22⋊Q8—534no—
1787C22⋊Q8—534no—
1788C22⋊Q8—534no—
1789C22⋊Q8—534no—
1790C22⋊Q8—534no—
1791C22⋊Q8—534no—
1792C22⋊Q8—534no—
1793C22⋊Q8—532no—
1794C22⋊Q8—532no—
1795C22⋊Q8—534no—
1796C22⋊Q8—532no—
1797C22⋊Q8—532no—
1798C22⋊Q8—534no—
1799C22⋊Q8—532no—
1800C22⋊Q8—532no—
1801C22⋊Q8—532no—
1802C22⋊Q8—532no—
1803C22⋊Q8—534no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—532no—
1807C22⋊Q8—532no—
1808C22⋊Q8—532no—
1809C22⋊Q8—532no—
1810C22⋊Q8—534no—
1811C22⋊Q8—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—532no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—534no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—534no—
1823C22⋊Q8—534no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8C22×D5312yes—
1830C22⋊Q8C22×D5312yes—
1831C22⋊Q8C22×D5312yes—
1832C22⋊Q8C22×D5312yes—
1833C22⋊Q8C22×D5311yescharacteristic
1834C22⋊Q8C22×D5311yescharacteristic
1835C22⋊Q8C22×D5312yes—
1836C22⋊Q8C22×D5312yes—
1837C22⋊Q8C22×D5314yes—
1838C22⋊Q8C22×D5314yes—
1839C22⋊Q8C22×D5314yes—
1840#121—532no—
1841#121—532no—
1842#121—532no—
1843#121—532no—
1844#121—531no—
1845#121—531no—
1846#121C22×D5311yescharacteristic
1847#121C22×D5311yescharacteristic
1848#120—532no—
1849#120C22×D5312yes—
1850C4×Q8—532no—
1851C4×Q8—532no—
1852C4×Q8—532no—
1853C4×Q8—532no—
1854C4×Q8—531no—
1855C4×Q8—531no—
1856C4×Q8—532no—
1857C4×Q8—532no—
1858C4×Q8—534no—
1859C4×Q8—532no—
1860C4×Q8—532no—
1861C4×Q8—532no—
1862C4×Q8—534no—
1863C4×Q8—534no—
1864C4×Q8—534no—
1865C4×Q8—532no—
1866C4×Q8—532no—
1867C4×Q8—532no—
1868C4×Q8—534no—
1869C4×Q8—532no—
1870C4×Q8—532no—
1871C4×Q8—532no—
1872C4×Q8—531no—
1873C4×Q8—531no—
1874C4×Q8—534no—
1875C4×Q8—532no—
1876C4×Q8—534no—
1877C4×Q8—534no—
1878C4×Q8—534no—
1879C4×Q8—532no—
1880C4×Q8—534no—
1881C4×Q8—534no—
1882C4×Q8—534no—
1883C4×Q8—534no—
1884C4×Q8—532no—
1885C4×Q8—534no—
1886C4×Q8—532no—
1887C4×Q8—534no—
1888C4×Q8—532no—
1889C4×Q8—532no—
1890C4×Q8—532no—
1891C4×Q8—532no—
1892C4×Q8—532no—
1893C4×Q8—532no—
1894C4×Q8—532no—
1895C4×Q8—532no—
1896C4×Q8—532no—
1897C4×Q8—532no—
1898C4×Q8—532no—
1899C4×Q8—532no—
1900C4×Q8—532no—
1901C4×Q8—532no—
1902C4×Q8—532no—
1903C4×Q8—532no—
1904C4×Q8—532no—
1905C4×Q8—532no—
1906C4×Q8—532no—
1907C4×Q8—534no—
1908C4×Q8—532no—
1909C4×Q8—534no—
1910C4×Q8—534no—
1911C4×Q8—534no—
1912C4×Q8—532no—
1913C4×Q8—534no—
1914C4×Q8—534no—
1915C4×Q8—534no—
1916C4×Q8—534no—
1917C4×Q8—532no—
1918C4×Q8—534no—
1919C4×Q8—532no—
1920C4×Q8—534no—
1921C4×Q8—532no—
1922C4×Q8C22×D5314yes—
1923C4×Q8C22×D5312yes—
1924C4×Q8C22×D5312yes—
1925C4×Q8C22×D5312yes—
1926C4×Q8C22×D5312yes—
1927C4×Q8C22×D5312yes—
1928C4×D4—532no—
1929C4×D4—532no—
1930C4×D4—532no—
1931C4×D4—532no—
1932C4×D4—531no—
1933C4×D4—531no—
1934C4×D4—534no—
1935C4×D4—534no—
1936C4×D4—532no—
1937C4×D4—532no—
1938C4×D4—532no—
1939C4×D4—532no—
1940C4×D4—532no—
1941C4×D4—534no—
1942C4×D4—534no—
1943C4×D4—534no—
1944C4×D4—531no—
1945C4×D4—531no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—534no—
1954C4×D4—534no—
1955C4×D4—534no—
1956C4×D4—532no—
1957C4×D4C22×D5312yes—
1958C4×D4C22×D5312yes—
1959C4×D4C22×D5314yes—
1960C4×D4C22×D5314yes—
1961C4×D4C22×D5312yes—
1962#117—531no—
1963#117—531no—
1964#117—532no—
1965#117—532no—
1966#117—531no—
1967#117—531no—
1968#117—531no—
1969#117—532no—
1970#117—534no—
1971#117—534no—
1972#117—534no—
1973#117—532no—
1974#117—532no—
1975#117—532no—
1976#117—534no—
1977#117—534no—
1978#117—532no—
1979#117—532no—
1980#117—534no—
1981#117—534no—
1982#117—534no—
1983#117—534no—
1984#117—532no—
1985#117—532no—
1986#117—532no—
1987#117—532no—
1988#117—534no—
1989#117—534no—
1990#117—534no—
1991#117—534no—
1992#117—534no—
1993#117—534no—
1994#117—534no—
1995#117—534no—
1996#117—532no—
1997#117—534no—
1998#117—534no—
1999#117—534no—
2000#117—534no—
2001#117C22×D5311yescharacteristic
2002#117C22×D5311yescharacteristic
2003#117C22×D5312yes—
2004#117C22×D5312yes—
2005#117C22×D5311yescharacteristic
2006#117C22×D5311yescharacteristic
2007#117C22×D5311yescharacteristic
2008#117C22×D5314yes—
2009#117C22×D5314yes—
2010#117C22×D5314yes—
2011#117C22×D5312yes—
2012C2×C4⋊C4—532no—
2013C2×C4⋊C4—531no—
2014C2×C4⋊C4—532no—
2015C2×C4⋊C4—531no—
2016C2×C4⋊C4—532no—
2017C2×C4⋊C4—531no—
2018C2×C4⋊C4—532no—
2019C2×C4⋊C4—532no—
2020C2×C4⋊C4—532no—
2021C2×C4⋊C4—532no—
2022C2×C4⋊C4—532no—
2023C2×C4⋊C4—532no—
2024C2×C4⋊C4—532no—
2025C2×C4⋊C4—532no—
2026C2×C4⋊C4—532no—
2027C2×C4⋊C4—534no—
2028C2×C4⋊C4—532no—
2029C2×C4⋊C4—534no—
2030C2×C4⋊C4—532no—
2031C2×C4⋊C4—532no—
2032C2×C4⋊C4C22×D5311yescharacteristic
2033C2×C4⋊C4C22×D5311yescharacteristic
2034C2×C4⋊C4C22×D5311yescharacteristic
2035C2×C4⋊C4C22×D5312yes—
2036C2×C4⋊C4C22×D5312yes—
2037C2×C22⋊C4—532no—
2038C2×C22⋊C4—532no—
2039C2×C22⋊C4C22×D5312yes—
2040C2×C22⋊C4C22×D5312yes—
2041C2×C42—532no—
2042C2×C42—532no—
2043C2×C42—532no—
2044C2×C42—531no—
2045C2×C42—531no—
2046C2×C42—531no—
2047C2×C42—531no—
2048C2×C42—532no—
2049C2×C42—531no—
2050C2×C42—531no—
2051C2×C42—531no—
2052C2×C42—531no—
2053C2×C42—531no—
2054C2×C42—531no—
2055C2×C42—531no—
2056C2×C42—531no—
2057C2×C42—532no—
2058C2×C42C22×D5312yes—
2059C24C23×D5311yescharacteristic
2060#41—24no—
2061#41—1068no—
2062#41—1064no—
2063#41—2124no—
2064C2×Q8—24no—
2065C2×Q8—532no—
2066C2×Q8—532no—
2067C2×Q8—532no—
2068C2×Q8—532no—
2069C2×Q8—532no—
2070C2×Q8—532no—
2071C2×Q8—532no—
2072C2×Q8—531no—
2073C2×Q8—534no—
2074C2×Q8—532no—
2075C2×Q8—532no—
2076C2×Q8—534no—
2077C2×Q8—532no—
2078C2×Q8—532no—
2079C2×Q8—534no—
2080C2×Q8—534no—
2081C2×Q8—534no—
2082C2×Q8—532no—
2083C2×Q8—1068no—
2084C2×Q8—1064no—
2085C2×Q8—2124no—
2086C2×Q8—2124no—
2087C2×Q8—2128no—
2088C2×Q8—2128no—
2089C2×Q8C23×D5312yes—
2090C2×Q8C23×D5312yes—
2091C2×Q8C23×D5311yescharacteristic
2092C2×Q8C23×D5314yes—
2093C2×D4—532no—
2094C2×D4—532no—
2095C2×D4—532no—
2096C2×D4—532no—
2097C2×D4—532no—
2098C2×D4—531no—
2099C2×D4C23×D5312yes—
2100C2×D4C23×D5311yescharacteristic
2101C2×D4C23×D5312yes—
2102C2×D4C23×D5312yes—
2103C22×C4—24no—
2104C22×C4—531no—
2105C22×C4—531no—
2106C22×C4—531no—
2107C22×C4—531no—
2108C22×C4—531no—
2109C22×C4—531no—
2110C22×C4—531no—
2111C22×C4—531no—
2112C22×C4—531no—
2113C22×C4—532no—
2114C22×C4—532no—
2115C22×C4—532no—
2116C22×C4—532no—
2117C22×C4—531no—
2118C22×C4—531no—
2119C22×C4—531no—
2120C22×C4—532no—
2121C22×C4—532no—
2122C22×C4—534no—
2123C22×C4—532no—
2124C22×C4—532no—
2125C22×C4—532no—
2126C22×C4—534no—
2127C22×C4—534no—
2128C22×C4—1064no—
2129C22×C4—2122no—
2130C22×C4C23×D5311yescharacteristic
2131C22×C4C23×D5311yescharacteristic
2132C22×C4C23×D5311yescharacteristic
2133C22×C4C23×D5311yescharacteristic
2134C22×C4C23×D5311yescharacteristic
2135C22×C4C23×D5312yes—
2136C22×C4C23×D5312yes—
2137C22×C4C23×D5312yes—
2138C22×C4C23×D5312yes—
2139C22×C4C23×D5312yes—
2140C22×C4C23×D5314yes—
2141C22×C4C23×D5311yescharacteristic
2142C4⋊C4—534no—
2143C4⋊C4—532no—
2144C4⋊C4—532no—
2145C4⋊C4—531no—
2146C4⋊C4—531no—
2147C4⋊C4—532no—
2148C4⋊C4—534no—
2149C4⋊C4—531no—
2150C4⋊C4—531no—
2151C4⋊C4—534no—
2152C4⋊C4—532no—
2153C4⋊C4—532no—
2154C4⋊C4—532no—
2155C4⋊C4—532no—
2156C4⋊C4—534no—
2157C4⋊C4—532no—
2158C4⋊C4—532no—
2159C4⋊C4—534no—
2160C4⋊C4—532no—
2161C4⋊C4—534no—
2162C4⋊C4—532no—
2163C4⋊C4—532no—
2164C4⋊C4—532no—
2165C4⋊C4—532no—
2166C4⋊C4—534no—
2167C4⋊C4—534no—
2168C4⋊C4—534no—
2169C4⋊C4—534no—
2170C4⋊C4—534no—
2171C4⋊C4—534no—
2172C4⋊C4—534no—
2173C4⋊C4—532no—
2174C4⋊C4—532no—
2175C4⋊C4—532no—
2176C4⋊C4—532no—
2177C4⋊C4—534no—
2178C4⋊C4—532no—
2179C4⋊C4—532no—
2180C4⋊C4—534no—
2181C4⋊C4—532no—
2182C4⋊C4—532no—
2183C4⋊C4—534no—
2184C4⋊C4—532no—
2185C4⋊C4—532no—
2186C4⋊C4—534no—
2187C4⋊C4—532no—
2188C4⋊C4—532no—
2189C4⋊C4—534no—
2190C4⋊C4—532no—
2191C4⋊C4—532no—
2192C4⋊C4—532no—
2193C4⋊C4—531no—
2194C4⋊C4—532no—
2195C4⋊C4—531no—
2196C4⋊C4—532no—
2197C4⋊C4—532no—
2198C4⋊C4—532no—
2199C4⋊C4—532no—
2200C4⋊C4—532no—
2201C4⋊C4—532no—
2202C4⋊C4—532no—
2203C4⋊C4—532no—
2204C4⋊C4—532no—
2205C4⋊C4—532no—
2206C4⋊C4—532no—
2207C4⋊C4—532no—
2208C4⋊C4—534no—
2209C4⋊C4—534no—
2210C4⋊C4—534no—
2211C4⋊C4—534no—
2212C4⋊C4—534no—
2213C4⋊C4—534no—
2214C4⋊C4—534no—
2215C4⋊C4—534no—
2216C4⋊C4—534no—
2217C4⋊C4—534no—
2218C4⋊C4—534no—
2219C4⋊C4—534no—
2220C4⋊C4—534no—
2221C4⋊C4—534no—
2222C4⋊C4—534no—
2223C4⋊C4—534no—
2224C4⋊C4—534no—
2225C4⋊C4—534no—
2226C4⋊C4C23×D5311yescharacteristic
2227C4⋊C4C23×D5312yes—
2228C4⋊C4C23×D5314yes—
2229C4⋊C4C23×D5311yescharacteristic
2230C4⋊C4C23×D5311yescharacteristic
2231C4⋊C4C23×D5314yes—
2232C4⋊C4C23×D5311yescharacteristic
2233C4⋊C4C23×D5312yes—
2234C4⋊C4C23×D5312yes—
2235C4⋊C4C23×D5312yes—
2236C4⋊C4C23×D5314yes—
2237C4⋊C4C23×D5314yes—
2238C4⋊C4C23×D5312yes—
2239C4⋊C4C23×D5312yes—
2240C4⋊C4C23×D5314yes—
2241C4⋊C4C23×D5311yescharacteristic
2242C4⋊C4C23×D5311yescharacteristic
2243C4⋊C4C23×D5314yes—
2244C4⋊C4C23×D5314yes—
2245C4⋊C4C23×D5314yes—
2246C4⋊C4C23×D5314yes—
2247C4⋊C4C23×D5314yes—
2248C22⋊C4—534no—
2249C22⋊C4—532no—
2250C22⋊C4—532no—
2251C22⋊C4—532no—
2252C22⋊C4—532no—
2253C22⋊C4—534no—
2254C22⋊C4—532no—
2255C22⋊C4—532no—
2256C22⋊C4—532no—
2257C22⋊C4—534no—
2258C22⋊C4—532no—
2259C22⋊C4—532no—
2260C22⋊C4—532no—
2261C22⋊C4—532no—
2262C22⋊C4—534no—
2263C22⋊C4—534no—
2264C22⋊C4—532no—
2265C22⋊C4—532no—
2266C22⋊C4—534no—
2267C22⋊C4—534no—
2268C22⋊C4—532no—
2269C22⋊C4—532no—
2270C22⋊C4—532no—
2271C22⋊C4—532no—
2272C22⋊C4—534no—
2273C22⋊C4—534no—
2274C22⋊C4—534no—
2275C22⋊C4—534no—
2276C22⋊C4C23×D5314yes—
2277C22⋊C4C23×D5312yes—
2278C22⋊C4C23×D5314yes—
2279C22⋊C4C23×D5312yes—
2280C22⋊C4C23×D5312yes—
2281C22⋊C4C23×D5312yes—
2282C22⋊C4C23×D5312yes—
2283C22⋊C4C23×D5312yes—
2284C22⋊C4C23×D5312yes—
2285C22⋊C4C23×D5314yes—
2286C22⋊C4C23×D5312yes—
2287C22⋊C4C23×D5312yes—
2288C22⋊C4C23×D5314yes—
2289C22⋊C4C23×D5314yes—
2290C42—531no—
2291C42—531no—
2292C42—531no—
2293C42—531no—
2294C42—531no—
2295C42—531no—
2296C42—531no—
2297C42—531no—
2298C42—531no—
2299C42—531no—
2300C42—531no—
2301C42—531no—
2302C42—531no—
2303C42—531no—
2304C42—531no—
2305C42—531no—
2306C42—534no—
2307C42—534no—
2308C42—532no—
2309C42—532no—
2310C42—532no—
2311C42—532no—
2312C42—532no—
2313C42—532no—
2314C42—532no—
2315C42—534no—
2316C42—534no—
2317C42—532no—
2318C42—532no—
2319C42—534no—
2320C42—534no—
2321C42—534no—
2322C42—534no—
2323C42—534no—
2324C42—534no—
2325C42—534no—
2326C42—534no—
2327C42—534no—
2328C42C23×D5312yes—
2329C42C23×D5312yes—
2330C42C23×D5312yes—
2331C42C23×D5312yes—
2332C42C23×D5312yes—
2333C42C23×D5314yes—
2334C42C23×D5314yes—
2335C42C23×D5314yes—
2336C23—22no—
2337C23—22no—
2338C23—41no—
2339C23—532no—
2340C23C24×D5311yescharacteristic
2341C23C24×D5312yes—
2342C23C24×D5311yescharacteristic
2343C23C24×D5311yescharacteristic
2344Q8—24no—
2345Q8—24no—
2346Q8—22no—
2347Q8—44no—
2348Q8—1064no—
2349Q8—1064no—
2350Q8—1064no—
2351Q8—1064no—
2352Q8—1064no—
2353Q8—1068no—
2354Q8—1064no—
2355Q8—1064no—
2356Q8—1064no—
2357Q8—1064no—
2358Q8—1062no—
2359Q8—2122no—
2360Q8—2124no—
2361Q8—2124no—
2362Q8—2124no—
2363Q8—2122no—
2364Q8—2124no—
2365Q8—2122no—
2366D4—24no—
2367D4—24no—
2368D4—22no—
2369D4—42no—
2370D4—1064no—
2371D4—1064no—
2372D4—1064no—
2373D4—1062no—
2374D4—2122no—
2375D4—2122no—
2376C2×C4—24no—
2377C2×C4—22no—
2378C2×C4—24no—
2379C2×C4—22no—
2380C2×C4—22no—
2381C2×C4—22no—
2382C2×C4—22no—
2383C2×C4—24no—
2384C2×C4—44no—
2385C2×C4—42no—
2386C2×C4—42no—
2387C2×C4—534no—
2388C2×C4—531no—
2389C2×C4—531no—
2390C2×C4—531no—
2391C2×C4—531no—
2392C2×C4—532no—
2393C2×C4—532no—
2394C2×C4—534no—
2395C2×C4—532no—
2396C2×C4—532no—
2397C2×C4—532no—
2398C2×C4—531no—
2399C2×C4—531no—
2400C2×C4—531no—
2401C2×C4—532no—
2402C2×C4—534no—
2403C2×C4—532no—
2404C2×C4—531no—
2405C2×C4—1064no—
2406C2×C4—1064no—
2407C2×C4—1062no—
2408C2×C4—1062no—
2409C2×C4—1062no—
2410C2×C4—1062no—
2411C2×C4—1062no—
2412C2×C4—1062no—
2413C2×C4—1062no—
2414C2×C4—1064no—
2415C2×C4—1064no—
2416C2×C4—1062no—
2417C2×C4—1064no—
2418C2×C4—1064no—
2419C2×C4—1064no—
2420C2×C4—2124no—
2421C2×C4—2124no—
2422C2×C4—2121no—
2423C2×C4—2121no—
2424C2×C4—2121no—
2425C2×C4—2122no—
2426C2×C4—2122no—
2427C2×C4—2124no—
2428C2×C4#1313326414yes—
2429C2×C4C24×D5311yescharacteristic
2430C2×C4C24×D5314yes—
2431C2×C4C24×D5312yes—
2432C2×C4C24×D5312yes—
2433C2×C4C24×D5311yescharacteristic
2434C2×C4C24×D5312yes—
2435C2×C4C24×D5312yes—
2436C2×C4C24×D5314yes—
2437C2×C4C24×D5312yes—
2438C2×C4C24×D5312yes—
2439C2×C4C24×D5312yes—
2440C2×C4C24×D5311yescharacteristic
2441C2×C4C24×D5311yescharacteristic
2442C22—21no—
2443C22—21no—
2444C22—21no—
2445C22—21no—
2446C22—21no—
2447C22—22no—
2448C22—21no—
2449C22—22no—
2450C22—22no—
2451C22—21no—
2452C22—44no—
2453C22—1062no—
2454C22—1062no—
2455C22—1062no—
2456C222−1+4×D5312yes—
2457C22C2×#1313326412yes—
2458C22C25×D5311yescharacteristic
2459C4—22no—
2460C4—22no—
2461C4—22no—
2462C4—21no—
2463C4—21no—
2464C4—22no—
2465C4—24no—
2466C4—22no—
2467C4—24no—
2468C4—22no—
2469C4—22no—
2470C4—532no—
2471C4—532no—
2472C4—532no—
2473C4—1061no—
2474C4—1061no—
2475C4—1062no—
2476C4—1062no—
2477C4—1062no—
2478C4—1062no—
2479C4—1064no—
2480C4—1061no—
2481C4—1061no—
2482C4—1061no—
2483C4—1062no—
2484C4—1062no—
2485C4—1064no—
2486C4—1062no—
2487C4C2×#1313326412yes—
2488C4C2×#1313326412yes—
2489C2—22no—
2490C2—22no—
2491C2—41no—
2492C2—42no—
2493C2—2122no—
2494C2C2×2−1+4×D5311yescharacteristic
2495C2C22×#1313326411yescharacteristic
2496C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3495C2
prime radical#20288007C2
hypercenter#3495D53
hypocenterC53#62837
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3495

Complements

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

NH ≅ G/Ntype
1. #20289319C2semidirect
2. #20289316C2semidirect
3. #20289312C2semidirect
4. #20289208C2semidirect
5. #20289201C2semidirect
6. #20289198C2semidirect
7. #20289193C2semidirect
8. #20289190C2semidirect
9. #20289123C2semidirect
10. #20288955C2semidirect
11. #20288809C2semidirect
12. #20288804C2semidirect
13. #20288803C2semidirect
14. #20288600C2semidirect
15. #20288596C2semidirect
16. #20288595C2semidirect
17. #20288593C2semidirect
18. #20288593C2semidirect
19. #20288579C2semidirect
20. #20288573C2semidirect
21. #20288571C2semidirect
22. #20288530C2semidirect
23. #20288529C2semidirect
24. #20288528C2semidirect
25. #20288523C2semidirect
26. #20288521C2semidirect
27. #20288520C2semidirect
28. #20288469C2semidirect
29. #20288467C2semidirect
30. #20288461C2semidirect
31. #20288454C2semidirect
33. C2×#16811176C2semidirect
34. C2×#16811175C2semidirect
35. C53×#3495C2semidirect
36. C53⋊#564C22semidirect
37. C53⋊#564C22semidirect
41. #16811375C22semidirect
42. #16811374C22semidirect
44. #16811356C22semidirect
45. #16811355C22semidirect
46. Q8×Dic106C22semidirect
47. Q8×Dic106C22semidirect
48. Q8×Dic106C22semidirect
49. #16811353C22semidirect
50. #16811353C22semidirect
51. #16811353C22semidirect
52. #16811352C22semidirect
53. #16811352C22semidirect
54. #16811351C22semidirect
55. #16811351C22semidirect
56. #16811351C22semidirect
57. #16811351C22semidirect
58. #16811351C22semidirect
59. #16811350C22semidirect
60. #16811350C22semidirect
61. #16811350C22semidirect
62. #16811350C22semidirect
63. #16811350C22semidirect
64. #16811350C22semidirect
65. #16811350C22semidirect
66. #16811350C22semidirect
67. #16811350C22semidirect
68. #16811349C22semidirect
69. #16811349C22semidirect
70. #16811349C22semidirect
71. #16811349C22semidirect
72. #16811349C22semidirect
73. #16811348C22semidirect
74. #16811348C22semidirect
75. #16811348C22semidirect
76. #16811348C22semidirect
77. #16811348C22semidirect
78. #16811347C22semidirect
79. #16811345C22semidirect
80. #16811345C22semidirect
81. #16811345C22semidirect
83. #16811344C22semidirect
85. #16811343C22semidirect
87. #16811342C22semidirect
88. #16811342C22semidirect
89. #16811342C22semidirect
91. #16811341C22semidirect
92. #16811341C22semidirect
94. #16811340C22semidirect
95. #16811340C22semidirect
97. #16811332C22semidirect
99. #16811331C22semidirect
101. #16811329C22semidirect
103. #16811328C22semidirect
107. #16811315C22semidirect
112. #16811312C22semidirect
120. #16811309C22semidirect
123. #16811308C22semidirect
125. #16811307C22semidirect
131. #16811306C22semidirect
137. D4×Dic106C22semidirect
138. #16811288C22semidirect
141. #16811286C22semidirect
143. #16811254C22semidirect
144. #16811253C22semidirect
145. #16811253C22semidirect
149. #16811252C22semidirect
154. #16811251C22semidirect
155. #16811250C22semidirect
161. #16811236C22semidirect
163. #16811235C22semidirect
166. #16811233C22semidirect
167. #16811233C22semidirect
168. #16811233C22semidirect
169. #16811232C22semidirect
170. #16811232C22semidirect
171. #16811232C22semidirect
172. #16811232C22semidirect
173. #16811231C22semidirect
174. #16811231C22semidirect
175. #16811231C22semidirect
180. #16811230C22semidirect
181. #16811230C22semidirect
182. #16811230C22semidirect
183. #16811230C22semidirect
195. #16811179C22semidirect
196. #16811177C22semidirect
197. #16811177C22semidirect
212. #16811176C22semidirect
226. #16811175C22semidirect
227. #16811175C22semidirect
234. C2×#13133216C22semidirect
236. C4⋊Q8×D53C22semidirect
268. #16811100C22semidirect
269. #16811099C22semidirect
1272. #3495D53semidirect
1547. C53#62837semidirect

Maximal subgroups

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

subgroupindex
#202893192
#202893162
#202893122
#202892082
#202892012
#202891982
#202891932
#202891902
#202891232
#202889552
#202888092
#202888042
#202888032
#202886002
#202885962
#202885952
#202885932
#202885792
#202885732
#202885712
#202885302
#202885292
#202885282
#202885232
#202885212
#202885202
#202884692
#202884672
#202884612
#202884542
#202880072
C2×#168111762
C2×#168111752
C53×#34952
#6283753