Finite Group Databasebeta

← #28293044

Subgroups — #28293044

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#20289320C212yesmaximal, complemented
2#20289317C212yesmaximal, complemented
3#20289313C214yesmaximal, complemented
4#20289208C212yesmaximal, complemented
5#20289205C211yesmaximal, characteristic, complemented
6#20289203C211yesmaximal, characteristic, complemented
7#20289197C211yesmaximal, characteristic, complemented
8#20289194C214yesmaximal, complemented
9#20289123C212yesmaximal, complemented
10#20288959C214yesmaximal, complemented
11#20288810C212yesmaximal, complemented
12#20288808C212yesmaximal, complemented
13#20288807C214yesmaximal, complemented
14#20288598C211yesmaximal, characteristic, complemented
15#20288597C212yesmaximal, complemented
16#20288595C211yesmaximal, characteristic, complemented
17#20288595C212yesmaximal, complemented
18#20288593C212yesmaximal, complemented
19#20288578C211yesmaximal, characteristic, complemented
20#20288576C212yesmaximal, complemented
21#20288570C211yesmaximal, characteristic, complemented
22#20288533C211yesmaximal, characteristic, complemented
23#20288530C212yesmaximal, complemented
24#20288529C211yesmaximal, characteristic, complemented
25#20288524C211yesmaximal, characteristic, complemented
26#20288522C212yesmaximal, complemented
27#20288519C211yesmaximal, characteristic, complemented
28#20288466C212yesmaximal, complemented
29#20288465C212yesmaximal, complemented
30#20288460C212yesmaximal, complemented
31#20288459C212yesmaximal, complemented
32#20288009C211yesmaximal, characteristic
33#533×D53C211yesmaximal, characteristic, complemented
34#533×D53C211yesmaximal, characteristic, complemented
35C53×#3555C211yesmaximal, characteristic, complemented
36C53⋊#564C2214yescomplemented
37C53⋊#564C2214yescomplemented
38#16811376C2214yes—
39#16811375C2214yescomplemented
40#16811374C2214yes—
41#16811374C2214yes—
42#16811374C2214yescomplemented
43#16811356C2212yescomplemented
44#16811355C2212yescomplemented
45Q8×Dic106C2212yescomplemented
46Q8×Dic106C2211yescharacteristic, complemented
47Q8×Dic106C2211yescharacteristic, complemented
48#16811353C2212yescomplemented
49#16811353C2214yescomplemented
50#16811353C2211yescharacteristic, complemented
51#16811352C2212yescomplemented
52#16811352C2211yescharacteristic, complemented
53#16811351C2214yescomplemented
54#16811351C2212yescomplemented
55#16811351C2212yescomplemented
56#16811351C2211yescharacteristic, complemented
57#16811351C2212yescomplemented
58#16811350C2212yescomplemented
59#16811350C2214yescomplemented
60#16811350C2214yescomplemented
61#16811350C2212yescomplemented
62#16811350C2212yescomplemented
63#16811350C2214yescomplemented
64#16811350C2212yescomplemented
65#16811350C2214yescomplemented
66#16811350C2214yescomplemented
67#16811349C2212yescomplemented
68#16811349C2212yescomplemented
69#16811349C2212yescomplemented
70#16811349C2212yescomplemented
71#16811348C2212yescomplemented
72#16811348C2211yescharacteristic, complemented
73#16811348C2212yescomplemented
74#16811348C2214yescomplemented
75#16811348C2212yescomplemented
76#16811347C2211yescharacteristic, complemented
77#16811346C2212yescomplemented
78#16811346C2211yescharacteristic, complemented
79#16811345C2212yescomplemented
80#16811345C2212yescomplemented
81#16811344C2212yes—
82#16811344C2214yescomplemented
83#16811343C2212yes—
84#16811343C2211yescharacteristic, complemented
85#16811342C2214yes—
86#16811342C2212yescomplemented
87#16811342C2212yescomplemented
88#16811341C2212yes—
89#16811340C2214yes—
90#16811340C2214yescomplemented
91#16811340C2214yescomplemented
92#16811340C2214yescomplemented
93#16811334C2212yes—
94#16811334C2211yescharacteristic, complemented
95#16811333C2212yes—
96#16811333C2211yescharacteristic, complemented
97#16811331C2212yes—
98#16811330C2211yescharacteristic, complemented
99#16811329C2214yes—
100#16811328C2212yes—
101#16811327C2214yes—
102#16811327C2214yescomplemented
103#16811315C2212yescomplemented
104#16811314C2214yes—
105#16811314C2212yes—
106#16811313C2212yes—
107#16811312C2214yes—
108#16811312C2212yes—
109#16811312C2212yes—
110#16811312C2212yescomplemented
111#16811311C2212yes—
112#16811311C2214yes—
113#16811310C2214yes—
114#16811309C2214yes—
115#16811309C2214yes—
116#16811309C2214yes—
117#16811309C2214yes—
118#16811309C2214yes—
119#16811309C2214yes—
120#16811309C2214yescomplemented
121#16811308C2212yescomplemented
122#16811307C2214yes—
123#16811307C2212yes—
124#16811307C2212yes—
125#16811307C2212yescomplemented
126#16811306C2214yescomplemented
127#16811305C2214yes—
128#16811305C2214yes—
129#16811305C2214yes—
130#16811305C2214yes—
131#16811305C2214yes—
132#16811303C2214yes—
133#16811301C2214yes—
134#16811298C2214yes—
135#16811298C2214yes—
136D4×Dic106C2212yescomplemented
137#16811288C2214yes—
138#16811288C2214yes—
139#16811288C2212yescomplemented
140#16811286C2214yes—
141#16811286C2214yes—
142#16811286C2214yescomplemented
143#16811253C2212yes—
144#16811253C2214yes—
145#16811253C2212yes—
146#16811253C2214yes—
147#16811253C2212yescomplemented
148#16811252C2214yescomplemented
149#16811251C2212yescomplemented
150#16811250C2212yes—
151#16811250C2214yes—
152#16811250C2212yes—
153#16811250C2214yes—
154#16811250C2212yescomplemented
155#16811250C2214yescomplemented
156#16811246C2212yes—
157#16811244C2212yes—
158#16811241C2214yes—
159#16811240C2212yes—
160#16811237C2214yes—
161#16811236C2212yescomplemented
162#16811235C2212yes—
163#16811235C2212yescomplemented
164#16811234C2214yescomplemented
165#16811234C2212yescomplemented
166#16811233C2212yes—
167#16811233C2212yes—
168#16811233C2214yescomplemented
169#16811232C2214yescomplemented
170#16811232C2214yescomplemented
171#16811232C2214yescomplemented
172#16811232C2214yescomplemented
173#16811231C2214yescomplemented
174#16811230C2214yes—
175#16811230C2214yes—
176#16811230C2214yes—
177#16811230C2214yes—
178#16811230C2214yescomplemented
179#16811230C2214yescomplemented
180#16811230C2214yescomplemented
181#16811230C2214yescomplemented
182#16811219C2214yes—
183#16811219C2214yes—
184#16811214C2214yes—
185#16811214C2214yes—
186#16811198C2212yes—
187#16811196C2212yes—
188#16811196C2212yes—
189#16811195C2214yes—
190#16811193C2212yes—
191#16811193C2214yes—
192#16811180C2211yescharacteristic
193#16811180C2211yescharacteristic
194#16811179C2212yes—
195#16811179C2212yes—
196#16811179C2211yescharacteristic
197#16811179C2214yes—
198#16811179C2212yescomplemented
199#16811178C2211yescharacteristic
200#16811178C2211yescharacteristic
201#16811178C2211yescharacteristic
202#16811178C2211yescharacteristic
203#16811178C2212yes—
204#16811178C2212yes—
205#16811177C2212yes—
206#16811177C2211yescharacteristic
207#16811177C2211yescharacteristic
208#16811177C2212yes—
209#16811177C2212yes—
210#16811177C2211yescharacteristic
211#16811177C2212yes—
212#16811177C2214yes—
213#16811177C2212yes—
214#16811177C2212yescomplemented
215#16811177C2212yescomplemented
216#16811176C2212yes—
217#16811176C2212yes—
218#16811176C2212yescomplemented
219#16811175C2211yescharacteristic
220#16811175C2211yescharacteristic
221#16811175C2212yes—
222#16811175C2212yes—
223#16811175C2212yes—
224#16811175C2211yescharacteristic
225#16811175C2212yescomplemented
226#16811175C2212yescomplemented
227#16811172C2211yescharacteristic
228#16811170C2211yescharacteristic
229#16811168C2211yescharacteristic
230C2×#13133216C2212yescomplemented
231C4⋊Q8×D53C2211yescharacteristic
232C4⋊Q8×D53C2211yescharacteristic
233C4⋊Q8×D53C2211yescharacteristic
234C4⋊Q8×D53C2211yescharacteristic
235C4⋊Q8×D53C2212yescomplemented
236#16811160C2212yes—
237#16811158C2211yescharacteristic
238#16811158C2212yes—
239#16811157C2211yescharacteristic
240#16811156C2212yes—
241#16811156C2212yes—
242#16811156C2214yes—
243#16811155C2212yes—
244#16811152C2211yescharacteristic
245#16811152C2212yes—
246#16811151C2212yes—
247#16811151C2214yes—
248#16811150C2212yes—
249#125×D53C2212yes—
250#125×D53C2212yes—
251#16811136C2211yescharacteristic
252#16811133C2211yescharacteristic
253#16811132C2212yes—
254#16811131C2212yes—
255C22⋊Q8×D53C2212yes—
256C22⋊Q8×D53C2212yes—
257C22⋊Q8×D53C2212yes—
258C22⋊Q8×D53C2211yescharacteristic
259C22⋊Q8×D53C2211yescharacteristic
260#16811105C2212yes—
261#16811104C2212yes—
262#16811103C2212yes—
263#16811102C2212yes—
264#16811100C2214yescomplemented
265#16811099C2212yes—
266#16811099C2212yes—
267#16811099C2212yes—
268#16811099C2212yes—
269#16811099C2214yescomplemented
270C4×#11719949C2211yescharacteristic
271#16811091C2212yes—
272C4×#11719947C2211yescharacteristic
273C4×#11719947C2212yes—
274C4×Q8×D53C2211yescharacteristic
275C4×Q8×D53C2212yes—
276C4×Q8×D53C2211yescharacteristic
277C4×Q8×D53C2212yes—
278C4×Q8×D53C2212yes—
279#117×D53C2212yes—
280#117×D53C2212yes—
281C2×C42×D53C2211yescharacteristic
282C53×#563C2214yes—
283Q82×C53C2211yescharacteristic, complemented
284C53×#557C2211yescharacteristic, complemented
285C53×#557C2212yescomplemented
286C53×#556C2212yes—
287C53×#556C2212yescomplemented
288C53×#556C2211yescharacteristic, complemented
289C53×#554C2211yescharacteristic, complemented
290C53×#552C2212yes—
291C53×#544C2212yescomplemented
292C53×#542C2212yes—
293C53×#541C2212yes—
294C53×#541C2214yescomplemented
295C53×#541C2212yescomplemented
296C53×#533C2211yescharacteristic
297C53×#533C2211yescharacteristic
298C53×#529C2211yescharacteristic
299C2×#11719949C2311yescharacteristic
300C2×#11719945C2312yes—
301C2×#11719947C2311yescharacteristic
302C2×#11719947C2312yes—
303C22×Dic106C2314yes—
304C2×Q8×D53C2312yes—
305C2×Q8×D53C2311yescharacteristic
306C2×Q8×D53C2311yescharacteristic
307C2×Q8×D53C2312yes—
308C2×Q8×D53C2312yes—
309C2×Q8×D53C2314yes—
310C22×C4×D53C2311yescharacteristic
311C22×C4×D53C2311yescharacteristic
312C22×C4×D53C2311yescharacteristic
313#13133217C2312yes—
314#13133217C2311yescharacteristic
315#13133217C2312yes—
316#13133217C2311yescharacteristic
317#13133217C2312yes—
318#13133217C2314yes—
319#13133217C2311yescharacteristic
320#13133217C2311yescharacteristic
321#13133216C2314yes—
322#13133216C2314yes—
323#13133216C2314yes—
324#13133216C2314yes—
325#13133216C2312yes—
326#13133216C2314yes—
327#13133216C2314yes—
328#13133216C2314yes—
329#13133216C2312yes—
330#13133216C2312yes—
331#13133216C2312yes—
332#13133216C2312yes—
333#13133216C2314yes—
334#13133216C2312yes—
335#13133216C2312yes—
336#13133216C2312yes—
337#13133216C2314yes—
338#13133216C2314yes—
339#13133216C2311yescharacteristic
340#13133216C2314yes—
341#13133216C2314yes—
342#13133216C2311yescharacteristic
343#13133216C2311yescharacteristic
344#13133216C2312yes—
345#13133216C2311yescharacteristic
346#13133216C2312yes—
347#13133216C2312yes—
348#13133215C2314yes—
349#13133215C2314yes—
350#13133215C2314yes—
351#13133215C2314yes—
352#13133215C2312yes—
353#13133215C2312yes—
354#13133215C2312yes—
355#13133215C2312yes—
356#13133215C2311yescharacteristic
357#13133215C2314yes—
358#13133215C2311yescharacteristic
359#13133215C2311yescharacteristic
360#13133215C2312yes—
361#13133213C2311yescharacteristic
362#13133212C2314yes—
363#13133212C2314yes—
364#13133212C2314yes—
365#13133212C2314yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133212C2314yes—
369#13133212C2314yes—
370#13133212C2314yes—
371#13133212C2314yes—
372#13133212C2312yes—
373#13133211C2314yes—
374#13133211C2314yes—
375#13133211C2312yes—
376#13133210C2314yes—
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#13133210C2312yes—
391#13133209C2314yes—
392#13133209C2314yes—
393#13133209C2314yes—
394#13133209C2314yes—
395#13133209C2314yes—
396#13133209C2312yes—
397#13133209C2312yes—
398#13133209C2311yescharacteristic
399#13133209C2312yes—
400#13133209C2312yes—
401#13133208C2314yes—
402#13133208C2312yes—
403#13133208C2312yes—
404#13133208C2312yes—
405#13133208C2314yes—
406#13133208C2314yes—
407#13133208C2314yes—
408#13133208C2314yes—
409#13133208C2314yes—
410#13133208C2314yes—
411#13133208C2314yes—
412#13133208C2314yes—
413#13133208C2312yes—
414#13133208C2314yes—
415#13133208C2312yes—
416#13133208C2312yes—
417#13133208C2312yes—
418#13133208C2312yes—
419#13133207C2314yes—
420#13133207C2314yes—
421#13133207C2314yes—
422#13133207C2314yes—
423#13133207C2314yes—
424#13133207C2314yes—
425#13133207C2314yes—
426#13133207C2314yes—
427#13133207C2314yes—
428#13133207C2312yes—
429#13133207C2314yes—
430#13133207C2314yes—
431#13133207C2314yes—
432#13133207C2314yes—
433#13133207C2314yes—
434#13133207C2314yes—
435#13133207C2314yes—
436#13133207C2314yes—
437#13133207C2314yes—
438#13133207C2314yes—
439#13133207C2314yes—
440#13133207C2314yes—
441#13133207C2312yes—
442#13133207C2314yes—
443#13133207C2314yes—
444#13133207C2314yes—
445#13133207C2314yes—
446#13133207C2314yes—
447#13133207C2312yes—
448#13133207C2314yes—
449#13133207C2312yes—
450#13133207C2312yes—
451#13133207C2314yes—
452#13133207C2312yes—
453#13133206C2312yes—
454#13133205C2311yescharacteristic
455#13133205C2312yes—
456#13133204C2314yes—
457#13133204C2312yes—
458#13133203C2314yes—
459#13133203C2314yes—
460#13133203C2314yes—
461#13133203C2312yes—
462#13133203C2314yes—
463#13133203C2312yes—
464#13133202C2314yes—
465#13133202C2314yes—
466#13133202C2314yes—
467#13133202C2314yes—
468#13133202C2312yes—
469#13133202C2312yes—
470#13133201C2314yes—
471#13133200C2314yes—
472#13133200C2312yes—
473#13133199C2314yes—
474#13133199C2314yes—
475#13133199C2314yes—
476#13133199C2314yes—
477#13133199C2314yes—
478#13133199C2314yes—
479#13133199C2312yes—
480#13133199C2314yes—
481#13133199C2312yes—
482#13133199C2314yes—
483#13133198C2314yes—
484#13133197C2314yes—
485#13133197C2314yes—
486#13133197C2314yes—
487#13133197C2312yes—
488#13133197C2311yescharacteristic
489#13133197C2312yes—
490#13133197C2311yescharacteristic
491#13133197C2312yes—
492#13133197C2312yes—
493#13133197C2312yes—
494#13133197C2311yescharacteristic
495#13133196C2314yes—
496#13133196C2312yes—
497#13133196C2311yescharacteristic
498#13133196C2312yes—
499#13133196C2311yescharacteristic
500#13133196C2312yes—
501#13133196C2312yes—
502#13133196C2312yes—
503#13133196C2311yescharacteristic
504#13133195C2312yes—
505#13133195C2314yes—
506#13133195C2314yes—
507#13133195C2314yes—
508#13133195C2314yes—
509#13133195C2314yes—
510#13133195C2312yes—
511#13133195C2314yes—
512#13133195C2314yes—
513#13133195C2314yes—
514#13133195C2314yes—
515#13133195C2314yes—
516#13133195C2314yes—
517#13133195C2314yes—
518#13133195C2314yes—
519#13133195C2314yes—
520#13133195C2312yes—
521#13133195C2312yes—
522#13133195C2312yes—
523#13133195C2312yes—
524#13133195C2312yes—
525#13133194C2314yes—
526#13133194C2314yes—
527#13133194C2314yes—
528#13133194C2314yes—
529#13133194C2314yes—
530#13133194C2314yes—
531#13133194C2314yes—
532#13133194C2314yes—
533#13133194C2314yes—
534#13133194C2312yes—
535#13133194C2314yes—
536#13133194C2312yes—
537#13133194C2312yes—
538#13133194C2312yes—
539#13133194C2312yes—
540#13133193C2314yes—
541#13133193C2314yes—
542#13133193C2314yes—
543#13133193C2314yes—
544#13133193C2314yes—
545#13133193C2311yescharacteristic
546#13133193C2312yes—
547#13133193C2311yescharacteristic
548#13133193C2312yes—
549#13133193C2312yes—
550#13133193C2312yes—
551#13133193C2312yes—
552#13133193C2311yescharacteristic
553#13133192C2311yescharacteristic
554#13133191C2311yescharacteristic
555#13133190C2312yes—
556#13133190C2312yes—
557#13133190C2312yes—
558#13133189C2312yes—
559#13133188C2311yescharacteristic
560#13133187C2312yes—
561#13133185C2312yes—
562Q8×Dic53C2312yes—
563Q8×Dic53C2314yes—
564Q8×Dic53C2312yes—
565Q8×Dic53C2311yescharacteristic
566Q8×Dic53C2311yescharacteristic
567Q8×Dic53C2312yes—
568Q8×Dic53C2312yes—
569Q8×Dic53C2312yes—
570Q8×Dic53C2312yes—
571Q8×Dic53C2312yes—
572Q8×Dic53C2312yes—
573Q8×Dic53C2311yescharacteristic
574C4×Dic106C2314yes—
575C4×Dic106C2314yes—
576C4×Dic106C2312yes—
577C4×Dic106C2312yes—
578C4×Dic106C2314yes—
579C4×Dic106C2314yes—
580C4×Dic106C2314yes—
581C4×Dic106C2314yes—
582C4×Dic106C2314yes—
583C4×Dic106C2314yes—
584C4×Dic106C2312yes—
585C4×Dic106C2312yes—
586C4×Dic106C2311yescharacteristic
587C4×Dic106C2311yescharacteristic
588C4×Dic106C2314yes—
589C4×Dic106C2314yes—
590C4×Dic106C2314yes—
591C4×Dic106C2312yes—
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594C4×Dic106C2312yes—
595C4×Dic106C2314yes—
596C4×Dic106C2312yes—
597C4×Dic106C2312yes—
598C4×Dic106C2312yes—
599C4×Dic106C2311yescharacteristic
600C4×Dic106C2312yes—
601C4×Dic106C2312yes—
602#13133182C2314yes—
603#13133182C2314yes—
604#13133182C2314yes—
605#13133182C2314yes—
606#13133182C2314yes—
607#13133182C2314yes—
608#13133182C2311yescharacteristic
609#13133182C2314yes—
610#13133182C2312yes—
611#13133182C2312yes—
612#13133182C2314yes—
613#13133182C2311yescharacteristic
614#13133182C2314yes—
615#13133182C2312yes—
616#13133182C2312yes—
617#13133182C2314yes—
618#13133182C2314yes—
619#13133182C2312yes—
620#13133182C2312yes—
621#13133182C2312yes—
622#13133182C2312yes—
623#13133182C2312yes—
624#13133182C2312yes—
625#13133182C2314yes—
626#13133182C2312yes—
627#13133182C2312yes—
628#13133182C2312yes—
629#13133182C2311yescharacteristic
630#13133182C2312yes—
631#13133182C2312yes—
632C4×D212C2314yes—
633C4×D212C2314yes—
634C4×D212C2312yes—
635C4×D212C2312yes—
636C4×D212C2311yescharacteristic
637D4×Dic53C2311yescharacteristic
638D4×Dic53C2312yes—
639D4×Dic53C2312yes—
640#13133179C2312yes—
641#13133179C2312yes—
642#13133179C2314yes—
643#13133179C2314yes—
644#13133179C2311yescharacteristic
645#13133179C2312yes—
646#13133179C2312yes—
647C4×C22⋊D53C2314yes—
648C4×C22⋊D53C2314yes—
649C4×C22⋊D53C2314yes—
650C4×C22⋊D53C2312yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2312yes—
653#13133177C2312yes—
654#13133177C2312yes—
655#13133177C2314yes—
656#13133177C2314yes—
657#13133177C2312yes—
658#13133177C2314yes—
659#13133177C2312yes—
660#13133177C2312yes—
661#13133177C2312yes—
662#13133177C2312yes—
663#13133176C2312yes—
664#13133176C2314yes—
665#13133176C2312yes—
666#13133176C2312yes—
667#13133175C2314yes—
668#13133175C2314yes—
669#13133175C2314yes—
670#13133175C2314yes—
671#13133175C2312yes—
672#13133175C2314yes—
673#13133175C2314yes—
674#13133175C2312yes—
675#13133175C2312yes—
676#13133175C2312yes—
677#13133175C2312yes—
678#13133175C2312yes—
679#13133175C2311yescharacteristic
680#13133175C2312yes—
681#13133175C2311yescharacteristic
682#13133175C2312yes—
683#13133174C2314yes—
684#13133174C2314yes—
685#13133174C2314yes—
686#13133174C2314yes—
687#13133174C2314yes—
688#13133174C2314yes—
689#13133174C2314yes—
690#13133174C2314yes—
691#13133174C2314yes—
692#13133174C2312yes—
693#13133174C2312yes—
694#13133174C2312yes—
695#13133174C2312yes—
696#13133173C2314yes—
697#13133173C2312yes—
698#13133173C2314yes—
699#13133173C2314yes—
700#13133173C2314yes—
701#13133173C2312yes—
702#13133173C2314yes—
703#13133173C2312yes—
704#13133173C2312yes—
705#13133173C2312yes—
706C2×C4⋊Dic53C2312yes—
707C2×#11719919C2314yes—
708C4⋊C4×D53C2312yes—
709C4⋊C4×D53C2312yes—
710C4⋊C4×D53C2312yes—
711C4⋊C4×D53C2312yes—
712C4⋊C4×D53C2314yes—
713C4⋊C4×D53C2312yes—
714C4⋊C4×D53C2312yes—
715C4⋊C4×D53C2312yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2312yes—
721C4⋊C4×D53C2311yescharacteristic
722C4⋊C4×D53C2311yescharacteristic
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2314yes—
725C4⋊C4×D53C2312yes—
726C22⋊C4×D53C2312yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2312yes—
729C2×C4×Dic53C2311yescharacteristic
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2312yes—
733C42×D53C2311yescharacteristic
734C42×D53C2311yescharacteristic
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2314yes—
742C42×D53C2312yes—
743C42×D53C2312yes—
744C42×D53C2312yes—
745C4⋊Q8×C53C2314yes—
746C4⋊Q8×C53C2314yes—
747C4⋊Q8×C53C2312yes—
748C4⋊Q8×C53C2311yescharacteristic
749C4⋊Q8×C53C2311yescharacteristic
750C4⋊Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2312yes—
754#126×C53C2314yes—
755#126×C53C2314yes—
756#126×C53C2312yes—
757#126×C53C2314yes—
758#126×C53C2314yes—
759#126×C53C2314yes—
760#126×C53C2314yes—
761#125×C53C2314yes—
762#125×C53C2314yes—
763#125×C53C2314yes—
764#125×C53C2314yes—
765#125×C53C2314yes—
766#125×C53C2311yescharacteristic
767#125×C53C2312yes—
768#125×C53C2312yes—
769#125×C53C2312yes—
770#125×C53C2312yes—
771#124×C53C2314yes—
772#124×C53C2311yescharacteristic
773#124×C53C2312yes—
774#123×C53C2314yes—
775#123×C53C2312yes—
776C22⋊Q8×C53C2314yes—
777C22⋊Q8×C53C2314yes—
778C22⋊Q8×C53C2314yes—
779C22⋊Q8×C53C2311yescharacteristic
780C22⋊Q8×C53C2312yes—
781C22⋊Q8×C53C2312yes—
782C22⋊Q8×C53C2311yescharacteristic
783C22⋊Q8×C53C2312yes—
784C22⋊Q8×C53C2311yescharacteristic
785C22⋊Q8×C53C2312yes—
786C22⋊Q8×C53C2312yes—
787#121×C53C2311yescharacteristic
788C4×Q8×C53C2311yescharacteristic
789C4×Q8×C53C2312yes—
790C4×Q8×C53C2311yescharacteristic
791C4×Q8×C53C2311yescharacteristic
792C4×Q8×C53C2312yes—
793C4×Q8×C53C2312yes—
794C4×Q8×C53C2314yes—
795C4×Q8×C53C2312yes—
796C4×Q8×C53C2312yes—
797C4×Q8×C53C2312yes—
798C4×Q8×C53C2312yes—
799C4×Q8×C53C2312yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2312yes—
802C4×D4×C53C2311yescharacteristic
803#117×C53C2314yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806#117×C53C2312yes—
807#117×C53C2312yes—
808C2×C4⋊C4×C53C2312yes—
809C2×C42×C53C2311yescharacteristic
810C23×D53C2411yescharacteristic
811C2×Q8×C53C2411yescharacteristic
812C2×Q8×C53C2411yescharacteristic
813C2×Q8×C53C2412yes—
814C2×Q8×C53C2411yescharacteristic
815C2×Q8×C53C2412yes—
816C2×Q8×C53C2412yes—
817C2×Q8×C53C2414yes—
818C2×D4×C53C2411yescharacteristic
819C2×D4×C53C2412yes—
820C22×C4×C53C2411yescharacteristic
821C22×C4×C53C2411yescharacteristic
822C22×C4×C53C2412yes—
823C22×C4×C53C2411yescharacteristic
824C22×C4×C53C2414yes—
825C2×C22⋊D53C2412yes—
826C2×C22⋊D53C2412yes—
827C2×C22⋊D53C2412yes—
828C2×C22⋊D53C2412yes—
829C2×C22⋊D53C2412yes—
830C22×Dic53C2411yescharacteristic
831C22×Dic53C2411yescharacteristic
832C22×Dic53C2411yescharacteristic
833C22×Dic53C2412yes—
834C22×Dic53C2412yes—
835C22×Dic53C2414yes—
836#11719949—24no—
837Q8×D53—24no—
838Q8×D53—24no—
839Q8×D53—28no—
840Q8×D53—44no—
841Q8×D53—44no—
842Q8×D53—48no—
843#11719947—24no—
844#11719947—44no—
845#11719945—28no—
846C2×D212C2412yes—
847C2×D212C2412yes—
848C2×D212C2411yescharacteristic
849C2×C4×D53—24no—
850C2×C4×D53—24no—
851C2×C4×D53—42no—
852C2×C4×D53C2411yescharacteristic
853C2×C4×D53C2411yescharacteristic
854C2×C4×D53C2411yescharacteristic
855C2×C4×D53C2411yescharacteristic
856C2×C4×D53C2411yescharacteristic
857C2×C4×D53C2411yescharacteristic
858C2×C4×D53C2411yescharacteristic
859C2×C4×D53C2411yescharacteristic
860C2×C4×D53C2414yes—
861C2×C4×D53C2412yes—
862C2×C4×D53C2412yes—
863C2×C4×D53C2412yes—
864C2×C4×D53C2412yes—
865C2×C4×D53C2412yes—
866C2×C4×D53C2411yescharacteristic
867C2×C4×D53C2411yescharacteristic
868C2×C4×D53C2412yes—
869C2×C4×D53C2414yes—
870C2×C4×D53C2412yes—
871C2×C4×D53C2414yes—
872C2×C4×D53C2414yes—
873C2×C4×D53C2411yescharacteristic
874C2×C4×D53C2411yescharacteristic
875C2×Dic106—48no—
876C2×Dic106C2412yes—
877C2×Dic106C2414yes—
878C2×Dic106C2412yes—
879C2×Dic106C2412yes—
880C2×Dic106C2411yescharacteristic
881C2×Dic106C2411yescharacteristic
882C2×Dic106C2412yes—
883C2×Dic106C2411yescharacteristic
884C2×Dic106C2412yes—
885C2×Dic106C2414yes—
886C2×Dic106C2412yes—
887C2×Dic106C2414yes—
888C2×Dic106C2412yes—
889C2×Dic106C2412yes—
890C2×Dic106C2414yes—
891C2×Dic106C2412yes—
892C2×Dic106C2414yes—
893C4⋊C4×C53C2411yescharacteristic
894C4⋊C4×C53C2412yes—
895C4⋊C4×C53C2414yes—
896C4⋊C4×C53C2412yes—
897C4⋊C4×C53C2412yes—
898C4⋊C4×C53C2411yescharacteristic
899C4⋊C4×C53C2412yes—
900C4⋊C4×C53C2412yes—
901C4⋊C4×C53C2414yes—
902C4⋊C4×C53C2412yes—
903C4⋊C4×C53C2412yes—
904C4⋊C4×C53C2411yescharacteristic
905C4⋊C4×C53C2412yes—
906C4⋊C4×C53C2412yes—
907C4⋊C4×C53C2411yescharacteristic
908C4⋊C4×C53C2412yes—
909C4⋊C4×C53C2412yes—
910C4⋊C4×C53C2414yes—
911C4⋊C4×C53C2414yes—
912C4⋊C4×C53C2414yes—
913C4⋊C4×C53C2414yes—
914C4⋊C4×C53C2414yes—
915C4⋊C4×C53C2412yes—
916C4⋊C4×C53C2412yes—
917C4⋊C4×C53C2414yes—
918C4⋊C4×C53C2412yes—
919C4⋊C4×C53C2412yes—
920C4⋊C4×C53C2414yes—
921C4⋊C4×C53C2414yes—
922C22⋊C4×C53C2412yes—
923C22⋊C4×C53C2412yes—
924C22⋊C4×C53C2412yes—
925C22⋊C4×C53C2414yes—
926C22⋊C4×C53C2412yes—
927C22⋊C4×C53C2412yes—
928C22⋊C4×C53C2414yes—
929C22⋊C4×C53C2414yes—
930C22⋊C4×C53C2412yes—
931C22⋊C4×C53C2414yes—
932C22⋊C4×C53C2412yes—
933C42×C53C2411yescharacteristic
934C42×C53C2411yescharacteristic
935C42×C53C2411yescharacteristic
936C42×C53C2411yescharacteristic
937C42×C53C2414yes—
938C42×C53C2412yes—
939C42×C53C2412yes—
940C42×C53C2412yes—
941C42×C53C2414yes—
942C42×C53C2414yes—
943C42×C53C2414yes—
944C22⋊Dic53C2412yes—
945C22⋊Dic53C2414yes—
946C22⋊Dic53C2412yes—
947C22⋊Dic53C2412yes—
948C22⋊Dic53C2414yes—
949C22⋊Dic53C2412yes—
950C22⋊Dic53C2412yes—
951C22⋊Dic53C2414yes—
952C22⋊Dic53C2414yes—
953#11719921C2412yes—
954#11719921C2412yes—
955#11719921C2414yes—
956#11719921C2414yes—
957#11719921C2412yes—
958#11719921C2412yes—
959#11719921C2412yes—
960#11719921C2412yes—
961#11719921C2414yes—
962#11719921C2412yes—
963#11719921C2412yes—
964#11719921C2412yes—
965#11719921C2412yes—
966#11719921C2414yes—
967#11719921C2412yes—
968#11719921C2412yes—
969#11719921C2414yes—
970#11719921C2414yes—
971#11719921C2414yes—
972#11719921C2414yes—
973#11719921C2412yes—
974#11719921C2412yes—
975C4⋊Dic53C2411yescharacteristic
976C4⋊Dic53C2412yes—
977C4⋊Dic53C2411yescharacteristic
978C4⋊Dic53C2412yes—
979C4⋊Dic53C2414yes—
980C4⋊Dic53C2412yes—
981C4⋊Dic53C2412yes—
982C4⋊Dic53C2412yes—
983C4⋊Dic53C2414yes—
984C4⋊Dic53C2412yes—
985C4⋊Dic53C2412yes—
986C4⋊Dic53C2412yes—
987C4⋊Dic53C2412yes—
988C4⋊Dic53C2412yes—
989C4⋊Dic53C2414yes—
990C4⋊Dic53C2412yes—
991C4⋊Dic53C2414yes—
992C4⋊Dic53C2411yescharacteristic
993C4⋊Dic53C2412yes—
994C4⋊Dic53C2411yescharacteristic
995C4⋊Dic53C2412yes—
996C4⋊Dic53C2414yes—
997C4⋊Dic53C2414yes—
998C4⋊Dic53C2414yes—
999C4⋊Dic53C2414yes—
1000C4⋊Dic53C2414yes—
1001C4⋊Dic53C2414yes—
1002#11719919C2412yes—
1003#11719919C2414yes—
1004#11719919C2412yes—
1005#11719919C2412yes—
1006#11719919C2412yes—
1007#11719919C2412yes—
1008#11719919C2412yes—
1009#11719919C2414yes—
1010#11719919C2414yes—
1011#11719919C2414yes—
1012#11719919C2414yes—
1013#11719919C2412yes—
1014#11719919C2412yes—
1015#11719919C2412yes—
1016#11719919C2414yes—
1017#11719919C2412yes—
1018#11719919C2414yes—
1019#11719919C2412yes—
1020#11719919C2412yes—
1021#11719919C2412yes—
1022#11719919C2414yes—
1023#11719919C2412yes—
1024#11719919C2414yes—
1025#11719919C2412yes—
1026#11719919C2412yes—
1027#11719919C2414yes—
1028#11719919C2414yes—
1029#11719919C2414yes—
1030#11719919C2412yes—
1031#11719919C2412yes—
1032#11719919C2412yes—
1033#11719919C2412yes—
1034#11719919C2412yes—
1035#11719919C2412yes—
1036#11719919C2414yes—
1037#11719919C2414yes—
1038#11719919C2412yes—
1039#11719919C2412yes—
1040#11719919C2412yes—
1041#11719919C2412yes—
1042#11719919C2414yes—
1043#11719919C2414yes—
1044#11719919C2414yes—
1045#11719919C2414yes—
1046#11719919C2414yes—
1047#11719919C2414yes—
1048#11719919C2414yes—
1049#11719919C2414yes—
1050#11719919C2414yes—
1051#11719919C2414yes—
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×Dic53C2412yes—
1065C4×Dic53C2412yes—
1066C4×Dic53C2412yes—
1067C4×Dic53C2414yes—
1068C4×Dic53C2412yes—
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×C53C2512yes—
1088C23×C53C2511yescharacteristic
1089C22×D53—22no—
1090C22×D53—22no—
1091C22×D53—41no—
1092C22×D53C2512yes—
1093C22×D53C2511yescharacteristic
1094C22×D53C2511yescharacteristic
1095Q8×C53—24no—
1096Q8×C53—22no—
1097Q8×C53—22no—
1098Q8×C53—22no—
1099Q8×C53—42no—
1100Q8×C53—42no—
1101Q8×C53—44no—
1102D4×C53—22no—
1103D4×C53—42no—
1104C2×C4×C53—22no—
1105C2×C4×C53—22no—
1106C2×C4×C53—24no—
1107C2×C4×C53—44no—
1108C2×C4×C53—41no—
1109C2×C4×C53C2512yes—
1110C2×C4×C53C2512yes—
1111C2×C4×C53C2514yes—
1112C2×C4×C53C2511yescharacteristic
1113C2×C4×C53C2511yescharacteristic
1114C2×C4×C53C2512yes—
1115C2×C4×C53C2514yes—
1116C2×C4×C53C2512yes—
1117C2×C4×C53C2512yes—
1118C2×C4×C53C2512yes—
1119C2×C4×C53C2511yescharacteristic
1120C2×C4×C53C2511yescharacteristic
1121C2×C4×C53C2512yes—
1122C2×C4×C53C2511yescharacteristic
1123C2×C4×C53C2511yescharacteristic
1124C22⋊D53—24no—
1125C22⋊D53—24no—
1126C22⋊D53—24no—
1127C22⋊D53—42no—
1128C22⋊D53—42no—
1129C2×Dic53—22no—
1130C2×Dic53—22no—
1131C2×Dic53—24no—
1132C2×Dic53—24no—
1133C2×Dic53—22no—
1134C2×Dic53—44no—
1135C2×Dic53C2512yes—
1136C2×Dic53C2512yes—
1137C2×Dic53C2514yes—
1138C2×Dic53C2512yes—
1139C2×Dic53C2511yescharacteristic
1140C2×Dic53C2514yes—
1141C2×Dic53C2512yes—
1142C2×Dic53C2512yes—
1143C2×Dic53C2512yes—
1144C2×Dic53C2512yes—
1145C2×Dic53C2511yescharacteristic
1146C2×Dic53C2511yescharacteristic
1147C2×Dic53C2511yescharacteristic
1148C2×Dic53C2511yescharacteristic
1149C2×Dic53C2511yescharacteristic
1150D212—24no—
1151D212—24no—
1152D212—22no—
1153C4×D53—22no—
1154C4×D53—22no—
1155C4×D53—24no—
1156C4×D53—24no—
1157C4×D53—28no—
1158C4×D53—22no—
1159C4×D53—22no—
1160C4×D53—24no—
1161C4×D53—22no—
1162C4×D53—22no—
1163C4×D53—24no—
1164C4×D53—22no—
1165C4×D53—22no—
1166C4×D53—24no—
1167C4×D53—41no—
1168C4×D53—41no—
1169C4×D53—42no—
1170C4×D53—44no—
1171C4×D53—44no—
1172C4×D53—44no—
1173C4×D53—42no—
1174C4×D532−1+414yes—
1175C4×D532−1+414yes—
1176Dic106—22no—
1177Dic106—24no—
1178Dic106—22no—
1179Dic106—22no—
1180Dic106—24no—
1181Dic106—24no—
1182Dic106—24no—
1183Dic106—28no—
1184Dic106—24no—
1185Dic106—28no—
1186Dic106—24no—
1187Dic106—44no—
1188Dic106—44no—
1189Dic106—42no—
1190Dic106—44no—
1191Dic106—42no—
1192Dic106—42no—
1193#62837—531nomaximal, Sylow
1194C22×C53—22no—
1195C22×C53—21no—
1196C22×C53—21no—
1197C22×C53—22no—
1198C22×C53—22no—
1199C22×C53—21no—
1200C22×C53C2611yescharacteristic
1201C2×D53—21no—
1202C2×D53—21no—
1203C2×D53—21no—
1204C2×D53—21no—
1205C2×D53—22no—
1206C2×D53—22no—
1207C2×D53—22no—
1208C2×D53—44no—
1209C2×D53C2×2−1+412yes—
1210C2×D53C2×2−1+412yes—
1211C4×C53—22no—
1212C4×C53—22no—
1213C4×C53—24no—
1214C4×C53—22no—
1215C4×C53—21no—
1216C4×C53—21no—
1217C4×C53—22no—
1218C4×C53—22no—
1219C4×C53—24no—
1220C4×C53—22no—
1221C4×C53—22no—
1222C4×C53—21no—
1223C4×C53—21no—
1224C4×C53C2×2−1+412yes—
1225C4×C53C2×2−1+412yes—
1226Dic53—22no—
1227Dic53—22no—
1228Dic53—24no—
1229Dic53—22no—
1230Dic53—22no—
1231Dic53—21no—
1232Dic53—21no—
1233Dic53—22no—
1234Dic53—24no—
1235Dic53—22no—
1236Dic53—22no—
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—534no—
1246#3555—531no—
1247#3555—531no—
1248#3555—531no—
1249#3555D5311yescharacteristic, complemented
1250#3550—532no—
1251#3538—534no—
1252#3523—532no—
1253#3523—532no—
1254#3523—534no—
1255#3509—531no—
1256#3509—532no—
1257#3509—531no—
1258#3509—532no—
1259#3509—532no—
1260#3507—531no—
1261#3507—532no—
1262#3507—531no—
1263#3503—531no—
1264#3503—531no—
1265#3503—532no—
1266#3502—531no—
1267#3502—531no—
1268#3502—532no—
1269#3495—532no—
1270#3495—532no—
1271#3495—532no—
1272#3495—532no—
1273#3444—531no—
1274C2×#533—531no—
1275C2×#533—531no—
1276C2×C53—41no—
1277C2×C53—42no—
1278C2×C53C22×2−1+411yescharacteristic
1279C2×C53C22×2−1+411yescharacteristic
1280C2×C53C2×#58511yescharacteristic
1281D53—22no—
1282D53—22no—
1283D53—42no—
1284#564—534no—
1285#564—534no—
1286#563—534no—
1287#563—534no—
1288#563—534no—
1289#563—534no—
1290#563—534no—
1291#563C2×D5314yes—
1292#559—532no—
1293#559—532no—
1294Q82—532no—
1295Q82—534no—
1296Q82—531no—
1297Q82—532no—
1298Q82—531no—
1299Q82—531no—
1300Q82C2×D5311yescharacteristic, complemented
1301#557—532no—
1302#557—531no—
1303#557—532no—
1304#557—534no—
1305#557—532no—
1306#557—532no—
1307#557—534no—
1308#557—532no—
1309#557—534no—
1310#557—534no—
1311#557—532no—
1312#557—534no—
1313#557—532no—
1314#557—534no—
1315#557—532no—
1316#557—532no—
1317#557—532no—
1318#557—532no—
1319#557—532no—
1320#557—531no—
1321#557—534no—
1322#557—532no—
1323#557—532no—
1324#557—531no—
1325#557—532no—
1326#557C2×D5311yescharacteristic, complemented
1327#557C2×D5312yescomplemented
1328#556—531no—
1329#556—534no—
1330#556—534no—
1331#556—534no—
1332#556—534no—
1333#556—534no—
1334#556—532no—
1335#556—532no—
1336#556—532no—
1337#556—534no—
1338#556—532no—
1339#556—532no—
1340#556—531no—
1341#556—532no—
1342#556—532no—
1343#556—531no—
1344#556—532no—
1345#556C2×D5312yes—
1346#556C2×D5311yescharacteristic, complemented
1347#556C2×D5312yescomplemented
1348#554—532no—
1349#554—531no—
1350#554—534no—
1351#554—534no—
1352#554—534no—
1353#554—532no—
1354#554—532no—
1355#554—531no—
1356#554—531no—
1357#554—532no—
1358#554C2×D5311yescharacteristic, complemented
1359#552—534no—
1360#552—534no—
1361#552—534no—
1362#552—534no—
1363#552—534no—
1364#552—534no—
1365#552—534no—
1366#552—534no—
1367#552—534no—
1368#552—534no—
1369#552—534no—
1370#552—534no—
1371#552—532no—
1372#552—534no—
1373#552—534no—
1374#552—532no—
1375#552—532no—
1376#552—534no—
1377#552—532no—
1378#552—532no—
1379#552—532no—
1380#552—534no—
1381#552—532no—
1382#552—534no—
1383#552—532no—
1384#552—532no—
1385#552—534no—
1386#552—532no—
1387#552—532no—
1388#552C2×D5312yes—
1389#551—534no—
1390#551—534no—
1391#551—534no—
1392#551—534no—
1393D4×Q8—534no—
1394D4×Q8—534no—
1395D4×Q8—532no—
1396D4×Q8—534no—
1397D4×Q8—534no—
1398D4×Q8—534no—
1399D4×Q8—532no—
1400#544—532no—
1401#544—532no—
1402#544—534no—
1403#544—534no—
1404#544—534no—
1405#544—532no—
1406#544—532no—
1407#544—532no—
1408#544—534no—
1409#544—534no—
1410#544—532no—
1411#544—534no—
1412#544—532no—
1413#544C2×D5312yescomplemented
1414#542—534no—
1415#542—534no—
1416#542—532no—
1417#542—532no—
1418#542—532no—
1419#542C2×D5312yes—
1420#541—532no—
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—534no—
1431#541—534no—
1432#541—532no—
1433#541—534no—
1434#541—534no—
1435#541—532no—
1436#541—532no—
1437#541—534no—
1438#541—534no—
1439#541—532no—
1440#541—532no—
1441#541C2×D5312yes—
1442#541C2×D5312yescomplemented
1443#541C2×D5314yescomplemented
1444#539—534no—
1445#539—534no—
1446#539—534no—
1447#539—534no—
1448#536—532no—
1449#536—532no—
1450#536—534no—
1451#536—534no—
1452#536—532no—
1453#536—532no—
1454#533—531no—
1455#533—531no—
1456#533—531no—
1457#533—531no—
1458#533—532no—
1459#533—532no—
1460#533—532no—
1461#533—532no—
1462#533—531no—
1463#533—534no—
1464#533—532no—
1465#533—531no—
1466#533—531no—
1467#533—532no—
1468#533—532no—
1469#533—532no—
1470#533—531no—
1471#533—532no—
1472#533—532no—
1473#533—532no—
1474#533—531no—
1475#533—531no—
1476#533—532no—
1477#533—532no—
1478#533—531no—
1479#533—532no—
1480#533—532no—
1481#533—534no—
1482#533—532no—
1483#533—532no—
1484#533—532no—
1485#533—532no—
1486#533—532no—
1487#533—531no—
1488#533—531no—
1489#533C2×D5311yescharacteristic
1490#533C2×D5311yescharacteristic
1491#532—531no—
1492#532—531no—
1493#532—531no—
1494C2×C4⋊Q8—531no—
1495C2×C4⋊Q8—531no—
1496C2×C4⋊Q8—531no—
1497C2×C4⋊Q8—531no—
1498C2×C4⋊Q8—532no—
1499C2×C4⋊Q8—532no—
1500#529—532no—
1501#529—532no—
1502#529—534no—
1503#529—531no—
1504#529—532no—
1505#529—531no—
1506#529—532no—
1507#529—532no—
1508#529—532no—
1509#529—532no—
1510#529—532no—
1511#529—534no—
1512#529—531no—
1513#529C2×D5311yescharacteristic
1514C2×#125—532no—
1515C2×#125—532no—
1516#525—532no—
1517#525—531no—
1518#525—531no—
1519#525—532no—
1520C2×C22⋊Q8—532no—
1521C2×C22⋊Q8—531no—
1522C2×C22⋊Q8—531no—
1523C2×C22⋊Q8—532no—
1524C2×C22⋊Q8—532no—
1525#520—532no—
1526#520—532no—
1527#520—532no—
1528#520—532no—
1529#519—532no—
1530#519—532no—
1531#519—532no—
1532#519—532no—
1533#519—534no—
1534#519—534no—
1535C4×#41—531no—
1536C4×#41—531no—
1537C4×#41—532no—
1538C4×#41—532no—
1539C2×C4×Q8—531no—
1540C2×C4×Q8—531no—
1541C2×C4×Q8—532no—
1542C2×C4×Q8—532no—
1543C2×C4×Q8—532no—
1544C2×#117—532no—
1545C2×#117—532no—
1546C22×C42—531no—
1547C53#6283711yescharacteristic, complemented, Sylow
1548C2×#41—531no—
1549C2×#41—531no—
1550C2×#41—532no—
1551C2×#41—532no—
1552C22×Q8—532no—
1553C22×Q8—531no—
1554C22×Q8—531no—
1555C22×Q8—532no—
1556C22×Q8—532no—
1557C22×Q8—534no—
1558C22×Q8—534no—
1559C23×C4—531no—
1560C23×C4—531no—
1561C23×C4—531no—
1562C4⋊Q8—531no—
1563C4⋊Q8—531no—
1564C4⋊Q8—532no—
1565C4⋊Q8—532no—
1566C4⋊Q8—532no—
1567C4⋊Q8—534no—
1568C4⋊Q8—531no—
1569C4⋊Q8—532no—
1570C4⋊Q8—532no—
1571C4⋊Q8—534no—
1572C4⋊Q8—534no—
1573C4⋊Q8—534no—
1574C4⋊Q8—534no—
1575C4⋊Q8—531no—
1576C4⋊Q8—532no—
1577C4⋊Q8—531no—
1578C4⋊Q8—532no—
1579C4⋊Q8—532no—
1580C4⋊Q8—532no—
1581C4⋊Q8—532no—
1582C4⋊Q8—532no—
1583C4⋊Q8—532no—
1584C4⋊Q8—534no—
1585C4⋊Q8—534no—
1586C4⋊Q8—534no—
1587C4⋊Q8—532no—
1588C4⋊Q8—532no—
1589C4⋊Q8—531no—
1590C4⋊Q8—531no—
1591C4⋊Q8—534no—
1592C4⋊Q8—534no—
1593C4⋊Q8—534no—
1594C4⋊Q8—532no—
1595C4⋊Q8—532no—
1596C4⋊Q8—534no—
1597C4⋊Q8—534no—
1598C4⋊Q8—534no—
1599C4⋊Q8—534no—
1600C4⋊Q8—534no—
1601C4⋊Q8—534no—
1602C4⋊Q8—531no—
1603C4⋊Q8—531no—
1604C4⋊Q8—531no—
1605C4⋊Q8—531no—
1606C4⋊Q8—532no—
1607C4⋊Q8—532no—
1608C4⋊Q8—532no—
1609C4⋊Q8—534no—
1610C4⋊Q8C22×D5311yescharacteristic
1611C4⋊Q8C22×D5311yescharacteristic
1612C4⋊Q8C22×D5311yescharacteristic
1613C4⋊Q8C22×D5311yescharacteristic
1614C4⋊Q8C22×D5312yes—
1615C4⋊Q8C22×D5312yes—
1616C4⋊Q8C22×D5312yes—
1617C4⋊Q8C22×D5314yes—
1618C4⋊Q8C22×D5314yes—
1619#127—531no—
1620#126—532no—
1621#126—534no—
1622#126—534no—
1623#126—534no—
1624#126—534no—
1625#126—534no—
1626#126—534no—
1627#126—534no—
1628#126—534no—
1629#126—534no—
1630#126—534no—
1631#126—532no—
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—532no—
1647#126—534no—
1648#126—534no—
1649#126C22×D5312yes—
1650#126C22×D5314yes—
1651#126C22×D5314yes—
1652#126C22×D5314yes—
1653#126C22×D5314yes—
1654#126C22×D5314yes—
1655#126C22×D5314yes—
1656#125—534no—
1657#125—532no—
1658#125—532no—
1659#125—532no—
1660#125—532no—
1661#125—532no—
1662#125—532no—
1663#125—534no—
1664#125—532no—
1665#125—532no—
1666#125—532no—
1667#125—532no—
1668#125—534no—
1669#125—534no—
1670#125—532no—
1671#125—532no—
1672#125—534no—
1673#125—534no—
1674#125—534no—
1675#125—534no—
1676#125—534no—
1677#125—534no—
1678#125—534no—
1679#125—534no—
1680#125—534no—
1681#125—534no—
1682#125—532no—
1683#125—532no—
1684#125—534no—
1685#125—534no—
1686#125—534no—
1687#125—534no—
1688#125—534no—
1689#125—534no—
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—532no—
1709#125—532no—
1710#125—531no—
1711#125—532no—
1712#125—534no—
1713#125—532no—
1714#125—534no—
1715#125—534no—
1716#125—534no—
1717#125—534no—
1718#125C22×D5312yes—
1719#125C22×D5312yes—
1720#125C22×D5311yescharacteristic
1721#125C22×D5312yes—
1722#125C22×D5314yes—
1723#125C22×D5312yes—
1724#125C22×D5314yes—
1725#125C22×D5314yes—
1726#125C22×D5314yes—
1727#125C22×D5314yes—
1728#124—532no—
1729#124—532no—
1730#124—534no—
1731#124—532no—
1732#124—532no—
1733#124—534no—
1734#124—534no—
1735#124—534no—
1736#124—534no—
1737#124—531no—
1738#124—532no—
1739#124C22×D5311yescharacteristic
1740#124C22×D5312yes—
1741#124C22×D5314yes—
1742#123—534no—
1743#123—532no—
1744#123—534no—
1745#123—532no—
1746#123—532no—
1747#123—534no—
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#123—534no—
1761#123—534no—
1762#123C22×D5312yes—
1763#123C22×D5314yes—
1764C22⋊Q8—532no—
1765C22⋊Q8—532no—
1766C22⋊Q8—532no—
1767C22⋊Q8—531no—
1768C22⋊Q8—531no—
1769C22⋊Q8—531no—
1770C22⋊Q8—532no—
1771C22⋊Q8—532no—
1772C22⋊Q8—534no—
1773C22⋊Q8—534no—
1774C22⋊Q8—534no—
1775C22⋊Q8—534no—
1776C22⋊Q8—534no—
1777C22⋊Q8—532no—
1778C22⋊Q8—531no—
1779C22⋊Q8—531no—
1780C22⋊Q8—532no—
1781C22⋊Q8—532no—
1782C22⋊Q8—531no—
1783C22⋊Q8—532no—
1784C22⋊Q8—532no—
1785C22⋊Q8—534no—
1786C22⋊Q8—532no—
1787C22⋊Q8—532no—
1788C22⋊Q8—532no—
1789C22⋊Q8—532no—
1790C22⋊Q8—532no—
1791C22⋊Q8—532no—
1792C22⋊Q8—534no—
1793C22⋊Q8—532no—
1794C22⋊Q8—534no—
1795C22⋊Q8—531no—
1796C22⋊Q8—531no—
1797C22⋊Q8—532no—
1798C22⋊Q8—531no—
1799C22⋊Q8—532no—
1800C22⋊Q8—532no—
1801C22⋊Q8—534no—
1802C22⋊Q8—534no—
1803C22⋊Q8—534no—
1804C22⋊Q8—532no—
1805C22⋊Q8—534no—
1806C22⋊Q8—532no—
1807C22⋊Q8—534no—
1808C22⋊Q8—534no—
1809C22⋊Q8—534no—
1810C22⋊Q8—534no—
1811C22⋊Q8—534no—
1812C22⋊Q8—534no—
1813C22⋊Q8—534no—
1814C22⋊Q8—534no—
1815C22⋊Q8—534no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—532no—
1819C22⋊Q8—534no—
1820C22⋊Q8—532no—
1821C22⋊Q8—532no—
1822C22⋊Q8—532no—
1823C22⋊Q8—534no—
1824C22⋊Q8—532no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8C22×D5312yes—
1834C22⋊Q8C22×D5311yescharacteristic
1835C22⋊Q8C22×D5311yescharacteristic
1836C22⋊Q8C22×D5312yes—
1837C22⋊Q8C22×D5312yes—
1838C22⋊Q8C22×D5311yescharacteristic
1839C22⋊Q8C22×D5312yes—
1840C22⋊Q8C22×D5312yes—
1841C22⋊Q8C22×D5314yes—
1842C22⋊Q8C22×D5314yes—
1843C22⋊Q8C22×D5314yes—
1844#121—531no—
1845#121—532no—
1846#121—531no—
1847#121—531no—
1848#121—532no—
1849#121—532no—
1850#121—532no—
1851#121C22×D5311yescharacteristic
1852#120—532no—
1853#120—532no—
1854C4×Q8—532no—
1855C4×Q8—531no—
1856C4×Q8—531no—
1857C4×Q8—532no—
1858C4×Q8—532no—
1859C4×Q8—531no—
1860C4×Q8—532no—
1861C4×Q8—532no—
1862C4×Q8—534no—
1863C4×Q8—532no—
1864C4×Q8—532no—
1865C4×Q8—532no—
1866C4×Q8—532no—
1867C4×Q8—532no—
1868C4×Q8—532no—
1869C4×Q8—534no—
1870C4×Q8—531no—
1871C4×Q8—531no—
1872C4×Q8—534no—
1873C4×Q8—532no—
1874C4×Q8—532no—
1875C4×Q8—532no—
1876C4×Q8—532no—
1877C4×Q8—532no—
1878C4×Q8—532no—
1879C4×Q8—531no—
1880C4×Q8—532no—
1881C4×Q8—534no—
1882C4×Q8—532no—
1883C4×Q8—534no—
1884C4×Q8—534no—
1885C4×Q8—534no—
1886C4×Q8—532no—
1887C4×Q8—534no—
1888C4×Q8—534no—
1889C4×Q8—534no—
1890C4×Q8—534no—
1891C4×Q8—532no—
1892C4×Q8—534no—
1893C4×Q8—532no—
1894C4×Q8—534no—
1895C4×Q8—532no—
1896C4×Q8—534no—
1897C4×Q8—532no—
1898C4×Q8—532no—
1899C4×Q8—532no—
1900C4×Q8—534no—
1901C4×Q8—531no—
1902C4×Q8—531no—
1903C4×Q8—532no—
1904C4×Q8—532no—
1905C4×Q8—532no—
1906C4×Q8—532no—
1907C4×Q8—532no—
1908C4×Q8—531no—
1909C4×Q8—534no—
1910C4×Q8—532no—
1911C4×Q8—534no—
1912C4×Q8—534no—
1913C4×Q8—534no—
1914C4×Q8—532no—
1915C4×Q8—534no—
1916C4×Q8—534no—
1917C4×Q8—534no—
1918C4×Q8—534no—
1919C4×Q8—532no—
1920C4×Q8—534no—
1921C4×Q8—532no—
1922C4×Q8—534no—
1923C4×Q8—532no—
1924C4×Q8C22×D5312yes—
1925C4×Q8C22×D5311yescharacteristic
1926C4×Q8C22×D5311yescharacteristic
1927C4×Q8C22×D5312yes—
1928C4×Q8C22×D5312yes—
1929C4×Q8C22×D5311yescharacteristic
1930C4×Q8C22×D5312yes—
1931C4×Q8C22×D5314yes—
1932C4×Q8C22×D5312yes—
1933C4×Q8C22×D5312yes—
1934C4×Q8C22×D5312yes—
1935C4×Q8C22×D5312yes—
1936C4×D4—532no—
1937C4×D4—531no—
1938C4×D4—532no—
1939C4×D4—532no—
1940C4×D4—532no—
1941C4×D4—532no—
1942C4×D4—534no—
1943C4×D4—534no—
1944C4×D4—534no—
1945C4×D4—532no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—531no—
1949C4×D4—534no—
1950C4×D4—534no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—532no—
1954C4×D4—532no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—532no—
1958C4×D4—532no—
1959C4×D4—534no—
1960C4×D4—534no—
1961C4×D4—534no—
1962C4×D4—532no—
1963C4×D4—531no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—532no—
1967C4×D4C22×D5312yes—
1968C4×D4C22×D5311yescharacteristic
1969C4×D4C22×D5312yes—
1970#117—532no—
1971#117—532no—
1972#117—534no—
1973#117—532no—
1974#117—532no—
1975#117—532no—
1976#117—532no—
1977#117—532no—
1978#117—531no—
1979#117—531no—
1980#117—532no—
1981#117—532no—
1982#117—534no—
1983#117—534no—
1984#117—534no—
1985#117—534no—
1986#117—534no—
1987#117—534no—
1988#117—532no—
1989#117—532no—
1990#117—534no—
1991#117—532no—
1992#117—532no—
1993#117—532no—
1994#117—532no—
1995#117—532no—
1996#117—534no—
1997#117—534no—
1998#117—534no—
1999#117—534no—
2000#117—532no—
2001#117—532no—
2002#117—534no—
2003#117—532no—
2004#117—532no—
2005#117—534no—
2006#117—534no—
2007#117—534no—
2008#117—534no—
2009#117—534no—
2010#117—534no—
2011#117—534no—
2012#117—534no—
2013#117C22×D5312yes—
2014#117C22×D5312yes—
2015#117C22×D5312yes—
2016#117C22×D5314yes—
2017#117C22×D5312yes—
2018C2×C4⋊C4—534no—
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—531no—
2026C2×C4⋊C4—531no—
2027C2×C4⋊C4—532no—
2028C2×C4⋊C4—534no—
2029C2×C4⋊C4—532no—
2030C2×C4⋊C4—534no—
2031C2×C4⋊C4—532no—
2032C2×C4⋊C4—532no—
2033C2×C4⋊C4—532no—
2034C2×C4⋊C4—532no—
2035C2×C4⋊C4—534no—
2036C2×C4⋊C4—532no—
2037C2×C4⋊C4—532no—
2038C2×C4⋊C4C22×D5312yes—
2039C2×C22⋊C4—532no—
2040C2×C22⋊C4—534no—
2041C2×C22⋊C4—532no—
2042C2×C42—532no—
2043C2×C42—531no—
2044C2×C42—531no—
2045C2×C42—531no—
2046C2×C42—532no—
2047C2×C42—532no—
2048C2×C42—534no—
2049C2×C42—531no—
2050C2×C42—531no—
2051C2×C42—531no—
2052C2×C42—531no—
2053C2×C42—532no—
2054C2×C42—531no—
2055C2×C42—531no—
2056C2×C42—531no—
2057C2×C42—531no—
2058C2×C42C22×D5311yescharacteristic
2059C24—531no—
2060#41—1068no—
2061#41—1064no—
2062#41—1064no—
2063#41—2124no—
2064C2×Q8—534no—
2065C2×Q8—531no—
2066C2×Q8—531no—
2067C2×Q8—532no—
2068C2×Q8—532no—
2069C2×Q8—532no—
2070C2×Q8—532no—
2071C2×Q8—531no—
2072C2×Q8—532no—
2073C2×Q8—534no—
2074C2×Q8—532no—
2075C2×Q8—532no—
2076C2×Q8—532no—
2077C2×Q8—534no—
2078C2×Q8—534no—
2079C2×Q8—534no—
2080C2×Q8—532no—
2081C2×Q8—1068no—
2082C2×Q8—1064no—
2083C2×Q8—1064no—
2084C2×Q8—2128no—
2085C2×Q8—2124no—
2086C2×Q8—2124no—
2087C2×Q8—2128no—
2088C2×Q8C23×D5311yescharacteristic
2089C2×Q8C23×D5311yescharacteristic
2090C2×Q8C23×D5312yes—
2091C2×Q8C23×D5311yescharacteristic
2092C2×Q8C23×D5312yes—
2093C2×Q8C23×D5312yes—
2094C2×Q8C23×D5314yes—
2095C2×D4—532no—
2096C2×D4—532no—
2097C2×D4—532no—
2098C2×D4—532no—
2099C2×D4—532no—
2100C2×D4—532no—
2101C2×D4—532no—
2102C2×D4—531no—
2103C2×D4C23×D5311yescharacteristic
2104C2×D4C23×D5312yes—
2105C22×C4—531no—
2106C22×C4—531no—
2107C22×C4—531no—
2108C22×C4—531no—
2109C22×C4—531no—
2110C22×C4—532no—
2111C22×C4—532no—
2112C22×C4—534no—
2113C22×C4—531no—
2114C22×C4—531no—
2115C22×C4—531no—
2116C22×C4—531no—
2117C22×C4—531no—
2118C22×C4—531no—
2119C22×C4—531no—
2120C22×C4—531no—
2121C22×C4—532no—
2122C22×C4—534no—
2123C22×C4—532no—
2124C22×C4—532no—
2125C22×C4—532no—
2126C22×C4—532no—
2127C22×C4—531no—
2128C22×C4—531no—
2129C22×C4—532no—
2130C22×C4—534no—
2131C22×C4—532no—
2132C22×C4—534no—
2133C22×C4—534no—
2134C22×C4—1064no—
2135C22×C4—1064no—
2136C22×C4—2122no—
2137C22×C4C23×D5311yescharacteristic
2138C22×C4C23×D5311yescharacteristic
2139C22×C4C23×D5312yes—
2140C22×C4C23×D5311yescharacteristic
2141C22×C4C23×D5314yes—
2142C4⋊C4—532no—
2143C4⋊C4—534no—
2144C4⋊C4—532no—
2145C4⋊C4—531no—
2146C4⋊C4—532no—
2147C4⋊C4—531no—
2148C4⋊C4—532no—
2149C4⋊C4—532no—
2150C4⋊C4—532no—
2151C4⋊C4—532no—
2152C4⋊C4—534no—
2153C4⋊C4—532no—
2154C4⋊C4—534no—
2155C4⋊C4—532no—
2156C4⋊C4—532no—
2157C4⋊C4—534no—
2158C4⋊C4—534no—
2159C4⋊C4—532no—
2160C4⋊C4—534no—
2161C4⋊C4—532no—
2162C4⋊C4—532no—
2163C4⋊C4—532no—
2164C4⋊C4—532no—
2165C4⋊C4—534no—
2166C4⋊C4—534no—
2167C4⋊C4—534no—
2168C4⋊C4—534no—
2169C4⋊C4—534no—
2170C4⋊C4—534no—
2171C4⋊C4—534no—
2172C4⋊C4—532no—
2173C4⋊C4—532no—
2174C4⋊C4—532no—
2175C4⋊C4—532no—
2176C4⋊C4—534no—
2177C4⋊C4—532no—
2178C4⋊C4—532no—
2179C4⋊C4—532no—
2180C4⋊C4—534no—
2181C4⋊C4—532no—
2182C4⋊C4—532no—
2183C4⋊C4—532no—
2184C4⋊C4—534no—
2185C4⋊C4—532no—
2186C4⋊C4—532no—
2187C4⋊C4—532no—
2188C4⋊C4—531no—
2189C4⋊C4—532no—
2190C4⋊C4—531no—
2191C4⋊C4—532no—
2192C4⋊C4—532no—
2193C4⋊C4—532no—
2194C4⋊C4—532no—
2195C4⋊C4—532no—
2196C4⋊C4—532no—
2197C4⋊C4—532no—
2198C4⋊C4—532no—
2199C4⋊C4—532no—
2200C4⋊C4—532no—
2201C4⋊C4—534no—
2202C4⋊C4—534no—
2203C4⋊C4—534no—
2204C4⋊C4—534no—
2205C4⋊C4—534no—
2206C4⋊C4—534no—
2207C4⋊C4—534no—
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⋊C4C23×D5311yescharacteristic
2220C4⋊C4C23×D5312yes—
2221C4⋊C4C23×D5311yescharacteristic
2222C4⋊C4C23×D5312yes—
2223C4⋊C4C23×D5312yes—
2224C4⋊C4C23×D5312yes—
2225C4⋊C4C23×D5312yes—
2226C4⋊C4C23×D5312yes—
2227C4⋊C4C23×D5312yes—
2228C4⋊C4C23×D5314yes—
2229C4⋊C4C23×D5312yes—
2230C4⋊C4C23×D5314yes—
2231C4⋊C4C23×D5314yes—
2232C4⋊C4C23×D5312yes—
2233C4⋊C4C23×D5312yes—
2234C4⋊C4C23×D5312yes—
2235C4⋊C4C23×D5314yes—
2236C4⋊C4C23×D5311yescharacteristic
2237C4⋊C4C23×D5312yes—
2238C4⋊C4C23×D5311yescharacteristic
2239C4⋊C4C23×D5312yes—
2240C4⋊C4C23×D5314yes—
2241C4⋊C4C23×D5314yes—
2242C4⋊C4C23×D5314yes—
2243C4⋊C4C23×D5314yes—
2244C4⋊C4C23×D5314yes—
2245C4⋊C4C23×D5312yes—
2246C4⋊C4C23×D5312yes—
2247C4⋊C4C23×D5314yes—
2248C22⋊C4—532no—
2249C22⋊C4—532no—
2250C22⋊C4—534no—
2251C22⋊C4—532no—
2252C22⋊C4—534no—
2253C22⋊C4—532no—
2254C22⋊C4—532no—
2255C22⋊C4—534no—
2256C22⋊C4—534no—
2257C22⋊C4—532no—
2258C22⋊C4—534no—
2259C22⋊C4—532no—
2260C22⋊C4—534no—
2261C22⋊C4—532no—
2262C22⋊C4—532no—
2263C22⋊C4—532no—
2264C22⋊C4—532no—
2265C22⋊C4—532no—
2266C22⋊C4—532no—
2267C22⋊C4—532no—
2268C22⋊C4—532no—
2269C22⋊C4—534no—
2270C22⋊C4—534no—
2271C22⋊C4—532no—
2272C22⋊C4—532no—
2273C22⋊C4—532no—
2274C22⋊C4—532no—
2275C22⋊C4—534no—
2276C22⋊C4—534no—
2277C22⋊C4—534no—
2278C22⋊C4—534no—
2279C22⋊C4C23×D5312yes—
2280C22⋊C4C23×D5314yes—
2281C22⋊C4C23×D5312yes—
2282C22⋊C4C23×D5312yes—
2283C22⋊C4C23×D5314yes—
2284C22⋊C4C23×D5312yes—
2285C22⋊C4C23×D5312yes—
2286C22⋊C4C23×D5314yes—
2287C22⋊C4C23×D5312yes—
2288C22⋊C4C23×D5312yes—
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—532no—
2303C42—532no—
2304C42—532no—
2305C42—532no—
2306C42—534no—
2307C42—532no—
2308C42—532no—
2309C42—532no—
2310C42—532no—
2311C42—532no—
2312C42—534no—
2313C42—534no—
2314C42—532no—
2315C42—532no—
2316C42—534no—
2317C42—534no—
2318C42—534no—
2319C42—534no—
2320C42—534no—
2321C42—534no—
2322C42—534no—
2323C42—534no—
2324C42—534no—
2325C42C23×D5311yescharacteristic
2326C42C23×D5311yescharacteristic
2327C42C23×D5311yescharacteristic
2328C42C23×D5311yescharacteristic
2329C42C23×D5314yes—
2330C42C23×D5312yes—
2331C42C23×D5312yes—
2332C42C23×D5312yes—
2333C42C23×D5314yes—
2334C42C23×D5314yes—
2335C42C23×D5314yes—
2336C23—531no—
2337C23—531no—
2338C23—532no—
2339C23—1062no—
2340C23—1062no—
2341C23—2121no—
2342C23C24×D5311yescharacteristic
2343C23C24×D5312yes—
2344Q8—22no—
2345Q8—22no—
2346Q8—24no—
2347Q8—22no—
2348Q8—42no—
2349Q8—42no—
2350Q8—44no—
2351Q8—1068no—
2352Q8—1064no—
2353Q8—1064no—
2354Q8—1064no—
2355Q8—1068no—
2356Q8—1064no—
2357Q8—1064no—
2358Q8—1062no—
2359Q8—1062no—
2360Q8—1064no—
2361Q8—1062no—
2362Q8—2124no—
2363Q8—2122no—
2364Q8—2122no—
2365Q8—2124no—
2366Q8—2124no—
2367Q8—2122no—
2368D4—22no—
2369D4—42no—
2370D4—1064no—
2371D4—1064no—
2372D4—1064no—
2373D4—1064no—
2374D4—1064no—
2375D4—1062no—
2376D4—2122no—
2377D4—2122no—
2378C2×C4—22no—
2379C2×C4—22no—
2380C2×C4—24no—
2381C2×C4—41no—
2382C2×C4—44no—
2383C2×C4—531no—
2384C2×C4—531no—
2385C2×C4—531no—
2386C2×C4—534no—
2387C2×C4—534no—
2388C2×C4—531no—
2389C2×C4—532no—
2390C2×C4—534no—
2391C2×C4—532no—
2392C2×C4—532no—
2393C2×C4—532no—
2394C2×C4—532no—
2395C2×C4—531no—
2396C2×C4—532no—
2397C2×C4—534no—
2398C2×C4—532no—
2399C2×C4—531no—
2400C2×C4—1062no—
2401C2×C4—1062no—
2402C2×C4—1062no—
2403C2×C4—1062no—
2404C2×C4—1064no—
2405C2×C4—1064no—
2406C2×C4—1062no—
2407C2×C4—1062no—
2408C2×C4—1064no—
2409C2×C4—1064no—
2410C2×C4—1068no—
2411C2×C4—1062no—
2412C2×C4—1062no—
2413C2×C4—1062no—
2414C2×C4—1064no—
2415C2×C4—1064no—
2416C2×C4—1062no—
2417C2×C4—1062no—
2418C2×C4—1064no—
2419C2×C4—2121no—
2420C2×C4—2121no—
2421C2×C4—2122no—
2422C2×C4—2124no—
2423C2×C4—2124no—
2424C2×C4—2122no—
2425C2×C4—2124no—
2426C2×C4—2124no—
2427C2×C4C24×D5311yescharacteristic
2428C2×C4C24×D5312yes—
2429C2×C4C24×D5312yes—
2430C2×C4C24×D5312yes—
2431C2×C4C24×D5314yes—
2432C2×C4C24×D5312yes—
2433C2×C4C24×D5312yes—
2434C2×C4C24×D5312yes—
2435C2×C4C24×D5311yescharacteristic
2436C2×C4C24×D5311yescharacteristic
2437C2×C4C24×D5311yescharacteristic
2438C2×C4C24×D5314yes—
2439C2×C4C24×D5312yes—
2440C2×C4C24×D5311yescharacteristic
2441C2×C4C24×D5311yescharacteristic
2442C22—21no—
2443C22—21no—
2444C22—22no—
2445C22—22no—
2446C22—22no—
2447C22—21no—
2448C22—532no—
2449C22—532no—
2450C22—1061no—
2451C22—1061no—
2452C22—1061no—
2453C22—1061no—
2454C22—1062no—
2455C22—1062no—
2456C22—1062no—
2457C22—2124no—
2458C22C25×D5311yescharacteristic
2459C4—21no—
2460C4—21no—
2461C4—22no—
2462C4—22no—
2463C4—22no—
2464C4—22no—
2465C4—24no—
2466C4—22no—
2467C4—21no—
2468C4—21no—
2469C4—24no—
2470C4—22no—
2471C4—22no—
2472C4—532no—
2473C4—532no—
2474C4—532no—
2475C4—1061no—
2476C4—1061no—
2477C4—1062no—
2478C4—1062no—
2479C4—1062no—
2480C4—1062no—
2481C4—1064no—
2482C4—1061no—
2483C4—1062no—
2484C4—1062no—
2485C4—1064no—
2486C4—1062no—
2487C42−1+4×D5312yes—
2488C42−1+4×D5312yes—
2489C2—41no—
2490C2—42no—
2491C2—1062no—
2492C2—1062no—
2493C2—2122no—
2494C2C2×2−1+4×D5311yescharacteristic
2495C2C2×2−1+4×D5311yescharacteristic
2496C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3555C2
prime radical#20288009C2
hypercenter#3555D53
hypocenterC53#62837
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3555

Complements

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

NH ≅ G/Ntype
1. #20289320C2semidirect
2. #20289317C2semidirect
3. #20289313C2semidirect
4. #20289208C2semidirect
5. #20289205C2semidirect
6. #20289203C2semidirect
7. #20289197C2semidirect
8. #20289194C2semidirect
9. #20289123C2semidirect
10. #20288959C2semidirect
11. #20288810C2semidirect
12. #20288808C2semidirect
13. #20288807C2semidirect
14. #20288598C2semidirect
15. #20288597C2semidirect
16. #20288595C2semidirect
17. #20288595C2semidirect
18. #20288593C2semidirect
19. #20288578C2semidirect
20. #20288576C2semidirect
21. #20288570C2semidirect
22. #20288533C2semidirect
23. #20288530C2semidirect
24. #20288529C2semidirect
25. #20288524C2semidirect
26. #20288522C2semidirect
27. #20288519C2semidirect
28. #20288466C2semidirect
29. #20288465C2semidirect
30. #20288460C2semidirect
31. #20288459C2semidirect
33. #533×D53C2semidirect
34. #533×D53C2semidirect
35. C53×#3555C2semidirect
36. C53⋊#564C22semidirect
37. C53⋊#564C22semidirect
39. #16811375C22semidirect
42. #16811374C22semidirect
43. #16811356C22semidirect
44. #16811355C22semidirect
45. Q8×Dic106C22semidirect
46. Q8×Dic106C22semidirect
47. Q8×Dic106C22semidirect
48. #16811353C22semidirect
49. #16811353C22semidirect
50. #16811353C22semidirect
51. #16811352C22semidirect
52. #16811352C22semidirect
53. #16811351C22semidirect
54. #16811351C22semidirect
55. #16811351C22semidirect
56. #16811351C22semidirect
57. #16811351C22semidirect
58. #16811350C22semidirect
59. #16811350C22semidirect
60. #16811350C22semidirect
61. #16811350C22semidirect
62. #16811350C22semidirect
63. #16811350C22semidirect
64. #16811350C22semidirect
65. #16811350C22semidirect
66. #16811350C22semidirect
67. #16811349C22semidirect
68. #16811349C22semidirect
69. #16811349C22semidirect
70. #16811349C22semidirect
71. #16811348C22semidirect
72. #16811348C22semidirect
73. #16811348C22semidirect
74. #16811348C22semidirect
75. #16811348C22semidirect
76. #16811347C22semidirect
77. #16811346C22semidirect
78. #16811346C22semidirect
79. #16811345C22semidirect
80. #16811345C22semidirect
82. #16811344C22semidirect
84. #16811343C22semidirect
86. #16811342C22semidirect
87. #16811342C22semidirect
90. #16811340C22semidirect
91. #16811340C22semidirect
92. #16811340C22semidirect
94. #16811334C22semidirect
96. #16811333C22semidirect
98. #16811330C22semidirect
102. #16811327C22semidirect
103. #16811315C22semidirect
110. #16811312C22semidirect
120. #16811309C22semidirect
121. #16811308C22semidirect
125. #16811307C22semidirect
126. #16811306C22semidirect
136. D4×Dic106C22semidirect
139. #16811288C22semidirect
142. #16811286C22semidirect
147. #16811253C22semidirect
148. #16811252C22semidirect
149. #16811251C22semidirect
154. #16811250C22semidirect
155. #16811250C22semidirect
161. #16811236C22semidirect
163. #16811235C22semidirect
164. #16811234C22semidirect
165. #16811234C22semidirect
168. #16811233C22semidirect
169. #16811232C22semidirect
170. #16811232C22semidirect
171. #16811232C22semidirect
172. #16811232C22semidirect
173. #16811231C22semidirect
178. #16811230C22semidirect
179. #16811230C22semidirect
180. #16811230C22semidirect
181. #16811230C22semidirect
198. #16811179C22semidirect
214. #16811177C22semidirect
215. #16811177C22semidirect
218. #16811176C22semidirect
225. #16811175C22semidirect
226. #16811175C22semidirect
230. C2×#13133216C22semidirect
235. C4⋊Q8×D53C22semidirect
264. #16811100C22semidirect
269. #16811099C22semidirect
283. Q82×C53C22semidirect
284. C53×#557C22semidirect
285. C53×#557C22semidirect
287. C53×#556C22semidirect
288. C53×#556C22semidirect
289. C53×#554C22semidirect
291. C53×#544C22semidirect
294. C53×#541C22semidirect
295. C53×#541C22semidirect
1249. #3555D53semidirect
1300. Q82C2×D53semidirect
1326. #557C2×D53semidirect
1327. #557C2×D53semidirect
1346. #556C2×D53semidirect
1347. #556C2×D53semidirect
1358. #554C2×D53semidirect
1413. #544C2×D53semidirect
1442. #541C2×D53semidirect
1443. #541C2×D53semidirect
1547. C53#62837semidirect

Maximal subgroups

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

subgroupindex
#202893202
#202893172
#202893132
#202892082
#202892052
#202892032
#202891972
#202891942
#202891232
#202889592
#202888102
#202888082
#202888072
#202885982
#202885972
#202885952
#202885932
#202885782
#202885762
#202885702
#202885332
#202885302
#202885292
#202885242
#202885222
#202885192
#202884662
#202884652
#202884602
#202884592
#202880092
#533×D532
C53×#35552
#6283753