Finite Group Databasebeta

← #28293057

Subgroups — #28293057

Order 13568.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289365C212yesmaximal, complemented
2#20289361C212yesmaximal, complemented
3#20289354C212yesmaximal, complemented
4#20289346C212yesmaximal, complemented
5#20289198C212yesmaximal, complemented
6#20289190C212yesmaximal, complemented
7#20289099C212yesmaximal, complemented
8#20289091C212yesmaximal, complemented
9#20289003C214yesmaximal, complemented
10#20288995C214yesmaximal, complemented
11#20288731C212yesmaximal, complemented
12#20288729C212yesmaximal, complemented
13#20288704C214yesmaximal, complemented
14#20288698C214yesmaximal, complemented
15#20288690C212yesmaximal, complemented
16#20288686C212yesmaximal, complemented
17#20288636C211yesmaximal, characteristic, complemented
18#20288632C211yesmaximal, characteristic, complemented
19#20288624C211yesmaximal, characteristic, complemented
20#20288618C211yesmaximal, characteristic, complemented
21#20288617C212yesmaximal, complemented
22#20288615C212yesmaximal, complemented
23#20288595C212yesmaximal, complemented
24#20288593C212yesmaximal, complemented
25#20288538C211yesmaximal, characteristic, complemented
26#20288537C211yesmaximal, characteristic, complemented
27#20288530C211yesmaximal, characteristic, complemented
28#20288528C211yesmaximal, characteristic, complemented
29#20288435C211yesmaximal, characteristic, complemented
30#20288432C211yesmaximal, characteristic, complemented
31#20288432C211yesmaximal, characteristic, complemented
32#20288007C211yesmaximal, characteristic, complemented
33#20288007C211yesmaximal, characteristic, complemented
34C2×#16811176C211yesmaximal, characteristic, complemented
35C53×#3493C211yesmaximal, characteristic, complemented
36#16811376C2214yes—
37#16811375C2214yes—
38#16811375C2214yes—
39#16811373C2214yes—
40#16811370C2214yes—
41#16811368C2214yes—
42#16811368C2214yes—
43#16811367C2214yes—
44Q8×Dic106C2212yescomplemented
45#16811353C2212yescomplemented
46#16811352C2212yescomplemented
47#16811351C2214yescomplemented
48#16811350C2212yescomplemented
49#16811350C2212yescomplemented
50#16811350C2214yescomplemented
51#16811349C2212yescomplemented
52#16811349C2212yescomplemented
53#16811348C2212yescomplemented
54#16811346C2214yescomplemented
55#16811344C2212yes—
56#16811344C2212yes—
57#16811344C2212yescomplemented
58#16811343C2212yes—
59#16811343C2212yes—
60#16811342C2214yes—
61#16811342C2214yescomplemented
62#16811341C2212yes—
63#16811341C2212yes—
64#16811341C2214yescomplemented
65#16811341C2214yescomplemented
66#16811341C2212yescomplemented
67#16811340C2214yes—
68#16811340C2214yescomplemented
69#16811340C2214yescomplemented
70#16811338C2212yes—
71#16811338C2212yes—
72#16811337C2212yes—
73#16811337C2212yes—
74#16811337C2212yescomplemented
75#16811336C2212yes—
76#16811336C2212yes—
77#16811336C2212yescomplemented
78#16811334C2212yescomplemented
79#16811332C2214yes—
80#16811332C2214yes—
81#16811332C2212yescomplemented
82#16811332C2212yescomplemented
83#16811331C2214yes—
84#16811331C2212yescomplemented
85#16811330C2214yes—
86#16811330C2212yescomplemented
87#16811329C2212yescomplemented
88#16811329C2212yescomplemented
89#16811328C2212yescomplemented
90#16811327C2214yes—
91#16811327C2214yes—
92#16811325C2214yes—
93#16811325C2212yescomplemented
94#16811322C2214yes—
95#16811322C2214yes—
96#16811321C2212yescomplemented
97#16811320C2212yes—
98#16811320C2212yes—
99#16811320C2212yescomplemented
100#16811319C2212yes—
101#16811319C2212yes—
102#16811319C2214yes—
103#16811317C2212yes—
104#16811317C2212yes—
105#16811317C2212yescomplemented
106#16811316C2214yes—
107#16811316C2214yes—
108#16811315C2212yescomplemented
109#16811313C2212yes—
110#16811313C2212yes—
111#16811313C2214yescomplemented
112#16811312C2212yes—
113#16811312C2212yes—
114#16811312C2212yescomplemented
115#16811311C2214yescomplemented
116#16811310C2214yes—
117#16811309C2214yes—
118#16811309C2214yescomplemented
119#16811309C2214yescomplemented
120#16811308C2212yescomplemented
121#16811307C2212yes—
122#16811307C2212yes—
123#16811307C2212yescomplemented
124#16811306C2214yescomplemented
125#16811306C2214yescomplemented
126D4×Dic106C2214yes—
127D4×Dic106C2212yescomplemented
128#16811288C2212yescomplemented
129#16811286C2214yes—
130#16811282C2214yes—
131#16811282C2214yescomplemented
132#16811281C2214yes—
133#16811281C2214yescomplemented
134#16811279C2214yes—
135#16811279C2214yes—
136#16811274C2212yescomplemented
137#16811273C2214yes—
138#16811273C2212yescomplemented
139#16811271C2214yes—
140#16811254C2211yescharacteristic
141#16811254C2212yescomplemented
142#16811254C2212yescomplemented
143#16811253C2212yescomplemented
144#16811253C2212yescomplemented
145#16811251C2211yescharacteristic
146#16811251C2211yescharacteristic
147#16811251C2212yescomplemented
148#16811251C2212yescomplemented
149#16811250C2212yescomplemented
150#16811250C2212yescomplemented
151#16811246C2212yescomplemented
152#16811245C2212yescomplemented
153#16811244C2214yescomplemented
154#16811242C2214yes—
155#16811241C2214yes—
156#16811240C2214yes—
157#16811240C2212yescomplemented
158#16811239C2214yes—
159#16811239C2214yescomplemented
160#16811239C2214yescomplemented
161#16811238C2214yescomplemented
162#16811238C2212yescomplemented
163#16811237C2214yes—
164#16811237C2214yes—
165#16811237C2214yescomplemented
166#16811237C2214yescomplemented
167#16811235C2214yescomplemented
168#16811233C2212yescomplemented
169#16811232C2214yescomplemented
170#16811232C2214yescomplemented
171#16811231C2214yescomplemented
172#16811231C2212yescomplemented
173#16811230C2214yes—
174#16811230C2214yes—
175#16811230C2214yescomplemented
176#16811230C2214yescomplemented
177#16811226C2212yescomplemented
178#16811224C2212yescomplemented
179#16811218C2214yes—
180#16811217C2214yes—
181#16811216C2214yes—
182#16811214C2214yes—
183#16811211C2214yes—
184#16811208C2214yes—
185#16811208C2214yes—
186#16811204C2211yescharacteristic
187#16811202C2214yes—
188#16811201C2211yescharacteristic
189#16811201C2211yescharacteristic
190#16811200C2214yes—
191#16811195C2214yes—
192#16811193C2214yes—
193#16811179C2212yescomplemented
194#16811178C2212yescomplemented
195#16811177C2212yescomplemented
196#16811176C2212yes—
197#16811176C2212yes—
198#16811176C2212yes—
199#16811176C2212yes—
200#16811176C2212yes—
201#16811176C2212yes—
202#16811176C2212yes—
203#16811176C2212yes—
204#16811176C2211yescharacteristic
205#16811176C2211yescharacteristic
206#16811176C2212yescomplemented
207#16811176C2212yescomplemented
208#16811175C2211yescharacteristic
209#16811175C2211yescharacteristic
210#16811175C2211yescharacteristic
211#16811175C2211yescharacteristic
212#16811175C2212yescomplemented
213#16811170C2212yescomplemented
214#16811169C2211yescharacteristic
215#16811169C2211yescharacteristic
216#16811168C2211yescharacteristic
217#16811168C2211yescharacteristic
218#16811168C2211yescharacteristic
219#16811168C2211yescharacteristic
220#16811168C2212yescomplemented
221C2×#13133216C2211yescharacteristic
222C2×#13133216C2211yescharacteristic
223C2×#13133216C2212yescomplemented
224C4⋊Q8×D53C2212yescomplemented
225#16811160C2212yescomplemented
226#16811159C2211yescharacteristic
227#16811159C2211yescharacteristic
228#16811159C2211yescharacteristic
229#16811159C2211yescharacteristic
230#16811159C2212yescomplemented
231#16811157C2214yes—
232#16811155C2212yescomplemented
233#16811154C2211yescharacteristic
234#16811154C2211yescharacteristic
235#16811154C2211yescharacteristic
236#16811154C2211yescharacteristic
237#16811154C2212yescomplemented
238#16811153C2212yes—
239#16811153C2212yes—
240#16811153C2212yes—
241#16811153C2212yes—
242#16811150C2212yes—
243#16811150C2212yes—
244#16811150C2212yes—
245#16811150C2212yes—
246#16811150C2214yes—
247#16811150C2214yes—
248C2×#13133208C2211yescharacteristic
249C2×#13133208C2211yescharacteristic
250C2×#13133208C2212yescomplemented
251#125×D53C2212yescomplemented
252#16811134C2211yescharacteristic
253#16811134C2211yescharacteristic
254#16811129C2212yes—
255#16811129C2212yes—
256#16811129C2212yes—
257#16811129C2212yes—
258C2×#13133194C2212yes—
259C2×#13133194C2212yes—
260#16811106C2211yescharacteristic
261#16811106C2211yescharacteristic
262#16811104C2211yescharacteristic
263#16811104C2211yescharacteristic
264#16811103C2211yescharacteristic
265#16811103C2211yescharacteristic
266#16811103C2214yescomplemented
267#16811102C2214yescomplemented
268#16811100C2214yescomplemented
269#16811099C2214yescomplemented
270#41×Dic53C2211yescharacteristic
271#41×Dic53C2211yescharacteristic
272#16811091C2211yescharacteristic
273#16811091C2211yescharacteristic
274C4×#11719947C2212yes—
275C4×#11719947C2212yes—
276C4×#11719947C2212yes—
277C4×#11719947C2212yes—
278C2×C4×Dic106C2212yes—
279C2×C4×Dic106C2212yes—
280C2×#13133176C2211yescharacteristic
281C22×C4×Dic53C2211yescharacteristic
282C53×#556C2212yes—
283C53×#556C2212yes—
284C53×#555C2212yes—
285C53×#555C2212yes—
286C53×#553C2212yes—
287C53×#553C2212yes—
288C53×#552C2212yes—
289C53×#552C2212yes—
290C53×#544C2211yescharacteristic
291C53×#538C2214yes—
292C53×#537C2211yescharacteristic
293C53×#529C2214yes—
294C53×#525C2211yescharacteristic
295C53×#525C2211yescharacteristic
296C53×#520C2211yescharacteristic
297C53×#520C2211yescharacteristic
298C2×#117×C53C2211yescharacteristic
299C2×#11719945C2311yescharacteristic
300C2×#11719945C2311yescharacteristic
301C2×#11719945C2314yes—
302C2×#11719947C2312yes—
303C2×#11719947C2312yes—
304C2×#11719947C2314yes—
305C2×#11719947C2312yes—
306C2×#11719947C2312yes—
307C22×Dic106C2312yes—
308C22×Dic106C2314yes—
309C22×Dic106C2312yes—
310C2×Q8×D53C2314yes—
311C23×Dic53C2311yescharacteristic
312C23×Dic53C2311yescharacteristic
313#13133217C2314yes—
314#13133217C2312yes—
315#13133217C2314yes—
316#13133217C2312yes—
317#13133216C2314yes—
318#13133216C2314yes—
319#13133216C2312yes—
320#13133216C2312yes—
321#13133216C2314yes—
322#13133216C2312yes—
323#13133216C2314yes—
324#13133216C2312yes—
325#13133216C2312yes—
326#13133216C2312yes—
327#13133216C2312yes—
328#13133216C2314yes—
329#13133216C2314yes—
330#13133216C2314yes—
331#13133216C2312yes—
332#13133216C2311yescharacteristic
333#13133216C2312yes—
334#13133216C2312yes—
335#13133216C2312yes—
336#13133216C2312yes—
337#13133216C2311yescharacteristic
338#13133216C2311yescharacteristic
339#13133216C2311yescharacteristic
340#13133215C2314yes—
341#13133215C2314yes—
342#13133215C2314yes—
343#13133215C2311yescharacteristic
344#13133215C2311yescharacteristic
345#13133213C2311yescharacteristic
346#13133213C2311yescharacteristic
347#13133212C2312yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2314yes—
352#13133212C2314yes—
353#13133212C2314yes—
354#13133212C2312yes—
355#13133212C2312yes—
356#13133212C2312yes—
357#13133211C2314yes—
358#13133211C2314yes—
359#13133211C2314yes—
360#13133211C2314yes—
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2312yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2314yes—
370#13133210C2314yes—
371#13133210C2314yes—
372#13133210C2314yes—
373#13133210C2314yes—
374#13133210C2314yes—
375#13133210C2314yes—
376#13133210C2312yes—
377#13133210C2312yes—
378#13133210C2312yes—
379#13133209C2314yes—
380#13133209C2314yes—
381#13133209C2314yes—
382#13133209C2314yes—
383#13133209C2312yes—
384#13133209C2312yes—
385#13133208C2312yes—
386#13133208C2312yes—
387#13133208C2312yes—
388#13133208C2312yes—
389#13133208C2314yes—
390#13133208C2314yes—
391#13133208C2314yes—
392#13133208C2314yes—
393#13133208C2312yes—
394#13133208C2312yes—
395#13133208C2312yes—
396#13133208C2312yes—
397#13133208C2314yes—
398#13133208C2311yescharacteristic
399#13133208C2312yes—
400#13133208C2312yes—
401#13133208C2312yes—
402#13133208C2312yes—
403#13133208C2311yescharacteristic
404#13133208C2311yescharacteristic
405#13133208C2311yescharacteristic
406#13133207C2312yes—
407#13133207C2314yes—
408#13133207C2314yes—
409#13133207C2314yes—
410#13133207C2314yes—
411#13133207C2314yes—
412#13133207C2314yes—
413#13133207C2314yes—
414#13133207C2312yes—
415#13133207C2314yes—
416#13133207C2314yes—
417#13133207C2314yes—
418#13133207C2314yes—
419#13133207C2314yes—
420#13133207C2312yes—
421#13133207C2312yes—
422#13133206C2311yescharacteristic
423#13133206C2311yescharacteristic
424#13133205C2314yes—
425#13133205C2314yes—
426#13133204C2314yes—
427#13133204C2314yes—
428#13133204C2314yes—
429#13133204C2311yescharacteristic
430#13133204C2311yescharacteristic
431#13133203C2314yes—
432#13133203C2314yes—
433#13133203C2314yes—
434#13133203C2314yes—
435#13133203C2314yes—
436#13133203C2312yes—
437#13133203C2314yes—
438#13133203C2314yes—
439#13133203C2312yes—
440#13133203C2314yes—
441#13133203C2314yes—
442#13133203C2314yes—
443#13133203C2312yes—
444#13133203C2312yes—
445#13133202C2314yes—
446#13133202C2314yes—
447#13133201C2314yes—
448#13133201C2314yes—
449#13133201C2312yes—
450#13133201C2312yes—
451#13133201C2312yes—
452#13133201C2312yes—
453#13133200C2314yes—
454#13133200C2314yes—
455#13133200C2312yes—
456#13133200C2312yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133198C2314yes—
466#13133198C2314yes—
467#13133198C2314yes—
468#13133198C2314yes—
469#13133198C2312yes—
470#13133198C2312yes—
471#13133198C2312yes—
472#13133198C2312yes—
473#13133197C2314yes—
474#13133197C2314yes—
475#13133197C2314yes—
476#13133197C2312yes—
477#13133197C2312yes—
478#13133197C2314yes—
479#13133196C2314yes—
480#13133196C2314yes—
481#13133196C2314yes—
482#13133196C2314yes—
483#13133196C2314yes—
484#13133196C2312yes—
485#13133196C2311yescharacteristic
486#13133196C2311yescharacteristic
487#13133196C2311yescharacteristic
488#13133196C2312yes—
489#13133196C2314yes—
490#13133196C2311yescharacteristic
491#13133195C2314yes—
492#13133195C2314yes—
493#13133195C2314yes—
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2314yes—
497#13133195C2314yes—
498#13133195C2314yes—
499#13133194C2314yes—
500#13133194C2314yes—
501#13133194C2314yes—
502#13133194C2314yes—
503#13133194C2314yes—
504#13133194C2314yes—
505#13133194C2314yes—
506#13133194C2314yes—
507#13133194C2312yes—
508#13133194C2314yes—
509#13133194C2312yes—
510#13133194C2314yes—
511#13133194C2314yes—
512#13133194C2314yes—
513#13133194C2314yes—
514#13133194C2312yes—
515#13133194C2314yes—
516#13133194C2312yes—
517#13133194C2314yes—
518#13133194C2314yes—
519#13133194C2312yes—
520#13133194C2314yes—
521#13133194C2314yes—
522#13133194C2314yes—
523#13133194C2314yes—
524#13133194C2312yes—
525#13133194C2312yes—
526#13133194C2312yes—
527#13133193C2314yes—
528#13133193C2314yes—
529#13133193C2314yes—
530#13133193C2312yes—
531#13133193C2312yes—
532#13133192C2312yes—
533#13133192C2312yes—
534#13133191C2312yes—
535#13133191C2314yes—
536#13133191C2314yes—
537#13133191C2311yescharacteristic
538#13133191C2311yescharacteristic
539#13133191C2312yes—
540#13133191C2311yescharacteristic
541#13133191C2311yescharacteristic
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2314yes—
545#13133190C2314yes—
546#13133189C2314yes—
547#13133189C2312yes—
548#13133189C2314yes—
549#13133189C2314yes—
550#13133189C2314yes—
551#13133189C2312yes—
552#13133189C2314yes—
553#13133189C2314yes—
554#13133189C2312yes—
555#13133189C2312yes—
556#13133189C2312yes—
557#13133189C2312yes—
558#13133189C2312yes—
559#13133189C2312yes—
560#13133188C2314yes—
561#13133188C2312yes—
562#13133188C2314yes—
563#13133188C2314yes—
564#13133188C2312yes—
565#13133186C2312yes—
566#13133186C2312yes—
567Q8×Dic53C2312yes—
568Q8×Dic53C2312yes—
569Q8×Dic53C2311yescharacteristic
570Q8×Dic53C2311yescharacteristic
571Q8×Dic53C2314yes—
572Q8×Dic53C2311yescharacteristic
573Q8×Dic53C2311yescharacteristic
574C4×Dic106C2314yes—
575C4×Dic106C2314yes—
576C4×Dic106C2314yes—
577C4×Dic106C2314yes—
578C4×Dic106C2312yes—
579C4×Dic106C2314yes—
580C4×Dic106C2312yes—
581C4×Dic106C2314yes—
582C4×Dic106C2314yes—
583C4×Dic106C2312yes—
584C4×Dic106C2312yes—
585C4×Dic106C2312yes—
586C4×Dic106C2314yes—
587C4×Dic106C2312yes—
588C4×Dic106C2314yes—
589C4×Dic106C2314yes—
590C4×Dic106C2314yes—
591C4×Dic106C2314yes—
592C4×Dic106C2314yes—
593C4×Dic106C2314yes—
594#13133182C2314yes—
595#13133182C2314yes—
596#13133182C2314yes—
597#13133182C2311yescharacteristic
598#13133182C2312yes—
599#13133182C2312yes—
600#13133182C2311yescharacteristic
601#13133182C2314yes—
602#13133182C2311yescharacteristic
603#13133182C2312yes—
604#13133182C2314yes—
605#13133182C2312yes—
606#13133182C2311yescharacteristic
607#13133182C2314yes—
608#13133182C2312yes—
609#13133182C2312yes—
610C4×D212C2314yes—
611C4×D212C2314yes—
612C4×D212C2312yes—
613C4×D212C2312yes—
614D4×Dic53C2312yes—
615D4×Dic53C2311yescharacteristic
616D4×Dic53C2312yes—
617D4×Dic53C2312yes—
618D4×Dic53C2314yes—
619D4×Dic53C2314yes—
620D4×Dic53C2312yes—
621D4×Dic53C2314yes—
622D4×Dic53C2311yescharacteristic
623D4×Dic53C2312yes—
624D4×Dic53C2312yes—
625D4×Dic53C2312yes—
626D4×Dic53C2311yescharacteristic
627D4×Dic53C2312yes—
628D4×Dic53C2311yescharacteristic
629D4×Dic53C2312yes—
630D4×Dic53C2312yes—
631#13133179C2311yescharacteristic
632#13133179C2311yescharacteristic
633#13133179C2312yes—
634#13133179C2312yes—
635#13133179C2311yescharacteristic
636#13133179C2311yescharacteristic
637C4×C22⋊D53C2314yes—
638C4×C22⋊D53C2312yes—
639C4×C22⋊D53C2312yes—
640C4×C22⋊D53C2314yes—
641C4×C22⋊D53C2314yes—
642C4×C22⋊D53C2314yes—
643C4×C22⋊D53C2312yes—
644C4×C22⋊D53C2312yes—
645C4×C22⋊D53C2312yes—
646C4×C22⋊D53C2312yes—
647C4×C22⋊D53C2312yes—
648C4×C22⋊D53C2312yes—
649#13133177C2312yes—
650#13133177C2314yes—
651#13133177C2312yes—
652#13133177C2314yes—
653#13133177C2312yes—
654#13133177C2314yes—
655#13133177C2312yes—
656#13133177C2314yes—
657#13133177C2312yes—
658#13133177C2314yes—
659#13133177C2312yes—
660#13133177C2314yes—
661#13133177C2312yes—
662#13133177C2312yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133177C2312yes—
667#13133176C2312yes—
668#13133176C2312yes—
669#13133176C2312yes—
670#13133176C2314yes—
671#13133176C2312yes—
672#13133176C2312yes—
673#13133176C2312yes—
674#13133176C2311yescharacteristic
675#13133176C2311yescharacteristic
676#13133176C2312yes—
677#13133176C2312yes—
678#13133175C2314yes—
679#13133175C2314yes—
680#13133175C2314yes—
681#13133175C2312yes—
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133175C2312yes—
686#13133175C2312yes—
687#13133175C2312yes—
688#13133175C2312yes—
689#13133174C2314yes—
690#13133174C2314yes—
691#13133174C2314yes—
692#13133174C2314yes—
693#13133174C2312yes—
694#13133174C2312yes—
695#13133173C2312yes—
696#13133173C2314yes—
697#13133173C2312yes—
698#13133173C2314yes—
699#13133173C2314yes—
700#13133173C2312yes—
701#13133173C2314yes—
702#13133173C2312yes—
703#13133173C2312yes—
704#13133173C2312yes—
705#13133173C2312yes—
706#13133173C2312yes—
707C2×C4⋊Dic53C2314yes—
708C2×C4⋊Dic53C2312yes—
709C2×C4⋊Dic53C2312yes—
710C2×C4⋊Dic53C2312yes—
711C2×C4⋊Dic53C2312yes—
712C2×C4⋊Dic53C2311yescharacteristic
713C2×C4⋊Dic53C2311yescharacteristic
714C2×#11719919C2314yes—
715C2×#11719919C2314yes—
716C2×#11719919C2312yes—
717C2×#11719919C2312yes—
718C2×#11719919C2312yes—
719C2×#11719919C2312yes—
720C4⋊C4×D53C2314yes—
721C4⋊C4×D53C2314yes—
722C4⋊C4×D53C2312yes—
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2312yes—
725C4⋊C4×D53C2312yes—
726C4⋊C4×D53C2314yes—
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—
743C42×D53C2312yes—
744C42×D53C2312yes—
745C2×#41×C53C2311yescharacteristic
746C2×#41×C53C2311yescharacteristic
747C23×C4×C53C2311yescharacteristic
748C4⋊Q8×C53C2312yes—
749C4⋊Q8×C53C2312yes—
750#126×C53C2314yes—
751#126×C53C2314yes—
752#126×C53C2314yes—
753#126×C53C2314yes—
754#125×C53C2314yes—
755#125×C53C2312yes—
756#125×C53C2312yes—
757#124×C53C2314yes—
758#124×C53C2314yes—
759#124×C53C2314yes—
760#123×C53C2314yes—
761#123×C53C2312yes—
762#123×C53C2312yes—
763#123×C53C2314yes—
764C22⋊Q8×C53C2314yes—
765C22⋊Q8×C53C2311yescharacteristic
766C22⋊Q8×C53C2311yescharacteristic
767C22⋊Q8×C53C2311yescharacteristic
768C22⋊Q8×C53C2311yescharacteristic
769C22⋊Q8×C53C2312yes—
770C22⋊Q8×C53C2312yes—
771#121×C53C2314yes—
772#121×C53C2312yes—
773#121×C53C2314yes—
774#121×C53C2314yes—
775#121×C53C2311yescharacteristic
776#121×C53C2311yescharacteristic
777#121×C53C2311yescharacteristic
778#121×C53C2311yescharacteristic
779#121×C53C2312yes—
780#120×C53C2312yes—
781#120×C53C2312yes—
782C4×Q8×C53C2312yes—
783C4×Q8×C53C2312yes—
784C4×Q8×C53C2314yes—
785C4×D4×C53C2314yes—
786C4×D4×C53C2314yes—
787C4×D4×C53C2314yes—
788C4×D4×C53C2312yes—
789C4×D4×C53C2312yes—
790C4×D4×C53C2312yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2312yes—
794#117×C53C2312yes—
795#117×C53C2312yes—
796#117×C53C2312yes—
797#117×C53C2312yes—
798#117×C53C2311yescharacteristic
799#117×C53C2311yescharacteristic
800#117×C53C2312yes—
801#117×C53C2312yes—
802#117×C53C2314yes—
803#117×C53C2314yes—
804C2×C4⋊C4×C53C2312yes—
805C2×C4⋊C4×C53C2311yescharacteristic
806C2×C4⋊C4×C53C2311yescharacteristic
807C2×C4⋊C4×C53C2312yes—
808C2×C22⋊C4×C53C2312yes—
809C2×C42×C53C2312yes—
810C24×C53C2411yescharacteristic
811#41×C53—24no—
812#41×C53—24no—
813C2×Q8×C53C2411yescharacteristic
814C2×Q8×C53C2411yescharacteristic
815C2×Q8×C53C2414yes—
816C2×D4×C53C2412yes—
817C2×D4×C53C2412yes—
818C2×D4×C53C2411yescharacteristic
819C2×D4×C53C2411yescharacteristic
820C2×D4×C53C2412yes—
821C2×D4×C53C2412yes—
822C2×D4×C53C2412yes—
823C2×D4×C53C2412yes—
824C2×D4×C53C2414yes—
825C22×C4×C53—24no—
826C22×C4×C53C2411yescharacteristic
827C22×C4×C53C2412yes—
828C22×C4×C53C2412yes—
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2411yescharacteristic
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2411yescharacteristic
833C22×C4×C53C2412yes—
834C22×C4×C53C2412yes—
835C22×C4×C53C2414yes—
836C22×C4×C53C2414yes—
837C22×C4×C53C2411yescharacteristic
838C2×C22⋊D53C2412yes—
839C2×C22⋊D53C2412yes—
840C2×C22⋊D53C2412yes—
841C2×C22⋊D53C2412yes—
842C2×C22⋊D53C2414yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2412yes—
847C2×C22⋊D53C2414yes—
848C2×C22⋊D53C2412yes—
849C2×C22⋊D53C2412yes—
850C22×Dic53—42no—
851C22×Dic53—42no—
852C22×Dic53C2411yescharacteristic
853C22×Dic53C2411yescharacteristic
854C22×Dic53C2411yescharacteristic
855C22×Dic53C2411yescharacteristic
856C22×Dic53C2411yescharacteristic
857C22×Dic53C2411yescharacteristic
858C22×Dic53C2412yes—
859C22×Dic53C2412yes—
860C22×Dic53C2411yescharacteristic
861C22×Dic53C2411yescharacteristic
862C22×Dic53C2411yescharacteristic
863C22×Dic53C2411yescharacteristic
864C22×Dic53C2411yescharacteristic
865C22×Dic53C2411yescharacteristic
866C22×Dic53C2412yes—
867C22×Dic53C2412yes—
868C22×Dic53C2412yes—
869C22×Dic53C2412yes—
870C22×Dic53C2414yes—
871C22×Dic53C2414yes—
872Q8×D53—48no—
873#11719947—44no—
874#11719947—48no—
875#11719947—44no—
876#11719947—44no—
877#11719947—44no—
878#11719945—24no—
879#11719945—24no—
880#11719945—48no—
881C2×D212C2411yescharacteristic
882C2×D212C2411yescharacteristic
883C2×D212C2414yes—
884C2×C4×D53C2412yes—
885C2×C4×D53C2412yes—
886C2×C4×D53C2412yes—
887C2×C4×D53C2412yes—
888C2×C4×D53C2412yes—
889C2×C4×D53C2412yes—
890C2×C4×D53C2414yes—
891C2×C4×D53C2414yes—
892C2×C4×D53C2414yes—
893C2×C4×D53C2414yes—
894C2×Dic106—44no—
895C2×Dic106—48no—
896C2×Dic106—44no—
897C2×Dic106C2411yescharacteristic
898C2×Dic106C2411yescharacteristic
899C2×Dic106C2412yes—
900C2×Dic106C2414yes—
901C2×Dic106C2412yes—
902C2×Dic106C2414yes—
903C2×Dic106C2414yes—
904C2×Dic106C2412yes—
905C2×Dic106C2414yes—
906C2×Dic106C2412yes—
907C2×Dic106C2414yes—
908C2×Dic106C2414yes—
909C2×Dic106C2414yes—
910C4⋊C4×C53C2412yes—
911C4⋊C4×C53C2412yes—
912C4⋊C4×C53C2411yescharacteristic
913C4⋊C4×C53C2411yescharacteristic
914C4⋊C4×C53C2412yes—
915C4⋊C4×C53C2412yes—
916C4⋊C4×C53C2414yes—
917C4⋊C4×C53C2414yes—
918C4⋊C4×C53C2411yescharacteristic
919C4⋊C4×C53C2411yescharacteristic
920C4⋊C4×C53C2412yes—
921C4⋊C4×C53C2412yes—
922C4⋊C4×C53C2414yes—
923C4⋊C4×C53C2414yes—
924C4⋊C4×C53C2412yes—
925C4⋊C4×C53C2412yes—
926C4⋊C4×C53C2414yes—
927C4⋊C4×C53C2414yes—
928C22⋊C4×C53C2414yes—
929C22⋊C4×C53C2414yes—
930C22⋊C4×C53C2412yes—
931C22⋊C4×C53C2412yes—
932C22⋊C4×C53C2412yes—
933C22⋊C4×C53C2412yes—
934C22⋊C4×C53C2414yes—
935C22⋊C4×C53C2414yes—
936C22⋊C4×C53C2414yes—
937C22⋊C4×C53C2414yes—
938C22⋊C4×C53C2412yes—
939C22⋊C4×C53C2412yes—
940C22⋊C4×C53C2412yes—
941C22⋊C4×C53C2412yes—
942C22⋊C4×C53C2412yes—
943C22⋊C4×C53C2412yes—
944C42×C53C2414yes—
945C42×C53C2414yes—
946C42×C53C2414yes—
947C42×C53C2414yes—
948C42×C53C2412yes—
949C42×C53C2412yes—
950C22⋊Dic53C2414yes—
951C22⋊Dic53C2414yes—
952C22⋊Dic53C2412yes—
953C22⋊Dic53C2414yes—
954C22⋊Dic53C2412yes—
955C22⋊Dic53C2412yes—
956C22⋊Dic53C2412yes—
957C22⋊Dic53C2412yes—
958C22⋊Dic53C2412yes—
959C22⋊Dic53C2414yes—
960C22⋊Dic53C2412yes—
961C22⋊Dic53C2412yes—
962C22⋊Dic53C2412yes—
963C22⋊Dic53C2412yes—
964C22⋊Dic53C2412yes—
965C22⋊Dic53C2414yes—
966C22⋊Dic53C2414yes—
967C22⋊Dic53C2412yes—
968C22⋊Dic53C2412yes—
969C22⋊Dic53C2412yes—
970#11719921C2414yes—
971#11719921C2412yes—
972#11719921C2412yes—
973#11719921C2412yes—
974#11719921C2414yes—
975#11719921C2412yes—
976#11719921C2412yes—
977#11719921C2412yes—
978#11719921C2412yes—
979#11719921C2414yes—
980#11719921C2412yes—
981#11719921C2412yes—
982#11719921C2412yes—
983#11719921C2412yes—
984#11719921C2412yes—
985#11719921C2414yes—
986#11719921C2414yes—
987#11719921C2414yes—
988#11719921C2414yes—
989#11719921C2414yes—
990C4⋊Dic53C2412yes—
991C4⋊Dic53C2411yescharacteristic
992C4⋊Dic53C2411yescharacteristic
993C4⋊Dic53C2412yes—
994C4⋊Dic53C2412yes—
995C4⋊Dic53C2414yes—
996C4⋊Dic53C2414yes—
997C4⋊Dic53C2411yescharacteristic
998C4⋊Dic53C2412yes—
999C4⋊Dic53C2412yes—
1000C4⋊Dic53C2414yes—
1001C4⋊Dic53C2414yes—
1002C4⋊Dic53C2414yes—
1003C4⋊Dic53C2414yes—
1004C4⋊Dic53C2414yes—
1005C4⋊Dic53C2414yes—
1006C4⋊Dic53C2411yescharacteristic
1007C4⋊Dic53C2412yes—
1008C4⋊Dic53C2412yes—
1009C4⋊Dic53C2412yes—
1010C4⋊Dic53C2414yes—
1011C4⋊Dic53C2412yes—
1012C4⋊Dic53C2412yes—
1013C4⋊Dic53C2412yes—
1014C4⋊Dic53C2412yes—
1015C4⋊Dic53C2414yes—
1016#11719919C2412yes—
1017#11719919C2412yes—
1018#11719919C2414yes—
1019#11719919C2414yes—
1020#11719919C2414yes—
1021#11719919C2414yes—
1022#11719919C2414yes—
1023#11719919C2414yes—
1024#11719919C2414yes—
1025#11719919C2414yes—
1026#11719919C2412yes—
1027#11719919C2414yes—
1028#11719919C2414yes—
1029#11719919C2414yes—
1030#11719919C2414yes—
1031#11719919C2414yes—
1032#11719919C2414yes—
1033#11719919C2414yes—
1034#11719919C2414yes—
1035#11719919C2412yes—
1036#11719919C2412yes—
1037#11719919C2412yes—
1038#11719919C2412yes—
1039#11719919C2412yes—
1040#11719919C2412yes—
1041#11719919C2412yes—
1042#11719919C2412yes—
1043#11719919C2412yes—
1044#11719919C2412yes—
1045#11719919C2412yes—
1046#11719919C2412yes—
1047#11719919C2412yes—
1048#11719919C2414yes—
1049#11719919C2414yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2414yes—
1055#11719919C2414yes—
1056C4×Dic53C2411yescharacteristic
1057C4×Dic53C2411yescharacteristic
1058C4×Dic53C2412yes—
1059C4×Dic53C2412yes—
1060C4×Dic53C2412yes—
1061C4×Dic53C2412yes—
1062C4×Dic53C2411yescharacteristic
1063C4×Dic53C2411yescharacteristic
1064C4×Dic53C2411yescharacteristic
1065C4×Dic53C2411yescharacteristic
1066C4×Dic53C2411yescharacteristic
1067C4×Dic53C2411yescharacteristic
1068C4×Dic53C2411yescharacteristic
1069C4×Dic53C2411yescharacteristic
1070C4×Dic53C2411yescharacteristic
1071C4×Dic53C2411yescharacteristic
1072C4×Dic53C2411yescharacteristic
1073C4×Dic53C2411yescharacteristic
1074C4×Dic53C2411yescharacteristic
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2412yes—
1077C4×Dic53C2412yes—
1078C4×Dic53C2414yes—
1079C4×Dic53C2414yes—
1080C4×Dic53C2412yes—
1081C4×Dic53C2412yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2414yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2414yes—
1090C23×C53—22no—
1091C23×C53—41no—
1092C23×C53—41no—
1093C23×C53C2512yes—
1094C23×C53C2512yes—
1095C23×C53C2511yescharacteristic
1096C23×C53C2511yescharacteristic
1097C23×C53C2511yescharacteristic
1098C22×D53C2512yes—
1099C22×D53C2512yes—
1100Q8×C53—22no—
1101Q8×C53—22no—
1102Q8×C53—44no—
1103D4×C53—24no—
1104D4×C53—24no—
1105D4×C53—22no—
1106D4×C53—22no—
1107D4×C53—42no—
1108D4×C53—44no—
1109D4×C53—42no—
1110D4×C53—42no—
1111D4×C53—42no—
1112C2×C4×C53—22no—
1113C2×C4×C53—22no—
1114C2×C4×C53—22no—
1115C2×C4×C53—22no—
1116C2×C4×C53—22no—
1117C2×C4×C53—24no—
1118C2×C4×C53—24no—
1119C2×C4×C53—44no—
1120C2×C4×C53—42no—
1121C2×C4×C53—42no—
1122C2×C4×C53—44no—
1123C2×C4×C532−1+414yes—
1124C2×C4×C53C2512yes—
1125C2×C4×C53C2512yes—
1126C2×C4×C53C2514yes—
1127C2×C4×C53C2514yes—
1128C2×C4×C53C2512yes—
1129C2×C4×C53C2512yes—
1130C2×C4×C53C2511yescharacteristic
1131C2×C4×C53C2511yescharacteristic
1132C2×C4×C53C2512yes—
1133C2×C4×C53C2512yes—
1134C2×C4×C53C2511yescharacteristic
1135C2×C4×C53C2511yescharacteristic
1136C22⋊D53—24no—
1137C22⋊D53—24no—
1138C22⋊D53—24no—
1139C22⋊D53—24no—
1140C22⋊D53—44no—
1141C22⋊D53—42no—
1142C22⋊D53—44no—
1143C22⋊D53—42no—
1144C22⋊D53—42no—
1145C22⋊D53—42no—
1146C22⋊D53—42no—
1147C22⋊D53—42no—
1148C2×Dic53—24no—
1149C2×Dic53—22no—
1150C2×Dic53—22no—
1151C2×Dic53—24no—
1152C2×Dic53—22no—
1153C2×Dic53—22no—
1154C2×Dic53—22no—
1155C2×Dic53—22no—
1156C2×Dic53—42no—
1157C2×Dic53—42no—
1158C2×Dic53—44no—
1159C2×Dic53—42no—
1160C2×Dic53—44no—
1161C2×Dic53—42no—
1162C2×Dic53—41no—
1163C2×Dic53—41no—
1164C2×Dic53—41no—
1165C2×Dic53—41no—
1166C2×Dic53—41no—
1167C2×Dic53—41no—
1168C2×Dic53C2512yes—
1169C2×Dic53C2511yescharacteristic
1170C2×Dic53C2511yescharacteristic
1171C2×Dic53C2512yes—
1172C2×Dic53C2514yes—
1173C2×Dic53C2514yes—
1174C2×Dic53C2512yes—
1175C2×Dic53C2511yescharacteristic
1176C2×Dic53C2511yescharacteristic
1177C2×Dic53C2512yes—
1178C2×Dic53C2512yes—
1179C2×Dic53C2512yes—
1180C2×Dic53C2511yescharacteristic
1181C2×Dic53C2511yescharacteristic
1182C2×Dic53C2511yescharacteristic
1183C2×Dic53C2511yescharacteristic
1184D212—22no—
1185D212—22no—
1186D212—44no—
1187C4×D53—24no—
1188C4×D53—24no—
1189C4×D53—24no—
1190C4×D53—24no—
1191C4×D53—44no—
1192C4×D53—44no—
1193C4×D53—42no—
1194C4×D53—42no—
1195C4×D53—44no—
1196C4×D53—44no—
1197Dic106—22no—
1198Dic106—22no—
1199Dic106—28no—
1200Dic106—24no—
1201Dic106—28no—
1202Dic106—24no—
1203Dic106—44no—
1204Dic106—44no—
1205Dic106—44no—
1206Dic106—44no—
1207Dic106—42no—
1208Dic106—42no—
1209Dic106—44no—
1210#62838—531nomaximal, Sylow
1211C22×C53—21no—
1212C22×C53—21no—
1213C22×C53—21no—
1214C22×C53—21no—
1215C22×C53—22no—
1216C22×C53—22no—
1217C22×C53—22no—
1218C22×C53—21no—
1219C22×C53—21no—
1220C22×C53—21no—
1221C22×C53—21no—
1222C22×C53—22no—
1223C22×C53—22no—
1224C22×C53—22no—
1225C22×C53—44no—
1226C22×C53C2×2−1+412yes—
1227C22×C53C2611yescharacteristic
1228C2×D53—22no—
1229C2×D53—22no—
1230C2×D53—22no—
1231C2×D53—22no—
1232C2×D53—22no—
1233C2×D53—22no—
1234C4×C53—21no—
1235C4×C53—21no—
1236C4×C53—22no—
1237C4×C53—22no—
1238C4×C53—22no—
1239C4×C53—24no—
1240C4×C53—24no—
1241C4×C53—22no—
1242C4×C53—22no—
1243C4×C53—22no—
1244C4×C53C2×2−1+412yes—
1245C4×C53C2×2−1+412yes—
1246Dic53—22no—
1247Dic53—22no—
1248Dic53—22no—
1249Dic53—24no—
1250Dic53—24no—
1251Dic53—22no—
1252Dic53—22no—
1253Dic53—21no—
1254Dic53—21no—
1255Dic53—21no—
1256Dic53—21no—
1257Dic53—22no—
1258Dic53—21no—
1259Dic53—21no—
1260Dic53#58512yes—
1261Dic53#58512yes—
1262#3565—532no—
1263#3565—532no—
1264#3565—532no—
1265#3565—532no—
1266#3555—532no—
1267#3555—532no—
1268#3547—532no—
1269#3547—532no—
1270#3541—534no—
1271#3541—534no—
1272#3518—532no—
1273#3518—532no—
1274#3516—534no—
1275#3516—534no—
1276#3515—532no—
1277#3515—532no—
1278#3512—531no—
1279#3512—531no—
1280#3511—532no—
1281#3511—532no—
1282#3511—531no—
1283#3511—531no—
1284#3509—532no—
1285#3509—532no—
1286#3504—531no—
1287#3504—531no—
1288#3503—531no—
1289#3503—531no—
1290#3493—531no—
1291#3493—531no—
1292#3493—531no—
1293#3493D5311yescharacteristic, complemented
1294#3444—531no—
1295#3444—531no—
1296C2×#533—531no—
1297C2×C53—22no—
1298C2×C53—42no—
1299C2×C53—42no—
1300C2×C53—41no—
1301C2×C53—41no—
1302C2×C53C22×2−1+411yescharacteristic
1303C2×C53C2×#58511yescharacteristic
1304C2×C53C2×#58511yescharacteristic
1305D53—42no—
1306D53—42no—
1307#563—534no—
1308#563—534no—
1309#563—534no—
1310#563—534no—
1311#562—534no—
1312#562—534no—
1313#562—534no—
1314#562—534no—
1315Q82—532no—
1316Q82—532no—
1317#557—532no—
1318#557—532no—
1319#557—532no—
1320#557—534no—
1321#557—532no—
1322#557—532no—
1323#557—534no—
1324#557—532no—
1325#556—534no—
1326#556—534no—
1327#556—534no—
1328#556—534no—
1329#556—534no—
1330#556—532no—
1331#556—532no—
1332#556—532no—
1333#556—534no—
1334#556—532no—
1335#556—532no—
1336#556—532no—
1337#556—532no—
1338#556—534no—
1339#556—532no—
1340#556—534no—
1341#556C2×D5312yes—
1342#556C2×D5312yes—
1343#555—532no—
1344#555—532no—
1345#555—532no—
1346#555—532no—
1347#555—532no—
1348#555—532no—
1349#555—532no—
1350#555—532no—
1351#555C2×D5312yes—
1352#555C2×D5312yes—
1353#554—532no—
1354#554—532no—
1355#554—532no—
1356#554—534no—
1357#554—534no—
1358#554—534no—
1359#554—532no—
1360#554—534no—
1361#554—532no—
1362#554—534no—
1363#554—534no—
1364#554—532no—
1365#554—532no—
1366#554—532no—
1367#553—534no—
1368#553—534no—
1369#553—532no—
1370#553—532no—
1371#553—532no—
1372#553—534no—
1373#553—532no—
1374#553—532no—
1375#553—532no—
1376#553—534no—
1377#553—534no—
1378#553—534no—
1379#553—532no—
1380#553—532no—
1381#553—532no—
1382#553—532no—
1383#553C2×D5312yes—
1384#553C2×D5312yes—
1385#552—534no—
1386#552—534no—
1387#552—534no—
1388#552—534no—
1389#552—534no—
1390#552—532no—
1391#552—532no—
1392#552—532no—
1393#552—532no—
1394#552—532no—
1395#552—532no—
1396#552—534no—
1397#552—534no—
1398#552—534no—
1399#552—532no—
1400#552—532no—
1401#552—532no—
1402#552—532no—
1403#552C2×D5312yes—
1404#552C2×D5312yes—
1405D4×Q8—532no—
1406D4×Q8—534no—
1407D4×Q8—534no—
1408D4×Q8—532no—
1409#548—534no—
1410#548—534no—
1411#548—534no—
1412#548—534no—
1413#548—534no—
1414#548—534no—
1415#547—534no—
1416#547—534no—
1417#547—532no—
1418#547—532no—
1419#544—532no—
1420#544—532no—
1421#544—532no—
1422#544—532no—
1423#544—531no—
1424#544—531no—
1425#544—532no—
1426#544—532no—
1427#544—531no—
1428#544—532no—
1429#544—532no—
1430#544C2×D5311yescharacteristic
1431#542—534no—
1432#542—534no—
1433#542—534no—
1434#542—534no—
1435#542—534no—
1436#542—534no—
1437#542—534no—
1438#542—534no—
1439#542—534no—
1440#542—532no—
1441#542—532no—
1442#542—534no—
1443#542—532no—
1444#542—532no—
1445#542—534no—
1446#542—534no—
1447#541—534no—
1448#541—534no—
1449#541—534no—
1450#541—534no—
1451#541—534no—
1452#541—534no—
1453#541—532no—
1454#541—532no—
1455#541—534no—
1456#541—534no—
1457#540—532no—
1458#540—532no—
1459#539—534no—
1460#539—534no—
1461#539—534no—
1462#539—534no—
1463#538—534no—
1464#538—534no—
1465#538—534no—
1466#538C2×D5314yes—
1467#537—531no—
1468#537—531no—
1469#537—534no—
1470#537—534no—
1471#537—531no—
1472#537C2×D5311yescharacteristic
1473#536—534no—
1474#536—534no—
1475#533—532no—
1476#533—532no—
1477#533—531no—
1478#533—531no—
1479#533—531no—
1480#533—531no—
1481#533—532no—
1482#533—532no—
1483#533—532no—
1484#533—532no—
1485#533—532no—
1486#533—532no—
1487#533—532no—
1488#533—532no—
1489#533—532no—
1490#533—532no—
1491#533—531no—
1492#533—531no—
1493#533—532no—
1494#533—532no—
1495#532—531no—
1496#532—531no—
1497#532—531no—
1498#532—531no—
1499#532—531no—
1500#532—531no—
1501#532—532no—
1502#532—532no—
1503C2×C4⋊Q8—532no—
1504C2×C4⋊Q8—531no—
1505C2×C4⋊Q8—531no—
1506C2×C4⋊Q8—532no—
1507#529—532no—
1508#529—532no—
1509#529—532no—
1510#529—532no—
1511#529—534no—
1512#529—534no—
1513#529—531no—
1514#529—531no—
1515#529—531no—
1516#529—531no—
1517#529—532no—
1518#529—531no—
1519#529—531no—
1520#529—531no—
1521#529—531no—
1522#529—532no—
1523#529—532no—
1524#529—532no—
1525#529—532no—
1526#529—532no—
1527#529—532no—
1528#529—532no—
1529#529—534no—
1530#529C2×D5314yes—
1531C2×#125—532no—
1532C2×#125—531no—
1533C2×#125—531no—
1534C2×#125—532no—
1535#525—531no—
1536#525—531no—
1537#525—532no—
1538#525—532no—
1539#525—532no—
1540#525—532no—
1541#525C2×D5311yescharacteristic
1542#525C2×D5311yescharacteristic
1543C2×C22⋊Q8—532no—
1544C2×C22⋊Q8—532no—
1545#520—531no—
1546#520—531no—
1547#520—534no—
1548#520—531no—
1549#520—531no—
1550#520—534no—
1551#520—531no—
1552#520—531no—
1553#520C2×D5311yescharacteristic
1554#520C2×D5311yescharacteristic
1555#519—534no—
1556#519—534no—
1557C4×#41—531no—
1558C4×#41—531no—
1559C4×#41—532no—
1560C4×#41—532no—
1561C4×#41—532no—
1562C4×#41—532no—
1563C4×#41—531no—
1564C4×#41—531no—
1565C2×C4×Q8—532no—
1566C2×C4×Q8—532no—
1567C2×#117—531no—
1568C2×#117C2×D5311yescharacteristic
1569C22×C42—531no—
1570C53#6283811yescharacteristic, complemented, Sylow
1571C2×#41—532no—
1572C2×#41—532no—
1573C2×#41—532no—
1574C2×#41—532no—
1575C2×#41—534no—
1576C2×#41—531no—
1577C2×#41—531no—
1578C2×#41—534no—
1579C2×#41C22×D5311yescharacteristic
1580C2×#41C22×D5311yescharacteristic
1581C22×Q8—534no—
1582C22×Q8—532no—
1583C22×Q8—532no—
1584C22×Q8—534no—
1585C23×C4—531no—
1586C23×C4—531no—
1587C23×C4C22×D5311yescharacteristic
1588C4⋊Q8—534no—
1589C4⋊Q8—531no—
1590C4⋊Q8—531no—
1591C4⋊Q8—534no—
1592C4⋊Q8—534no—
1593C4⋊Q8—531no—
1594C4⋊Q8—532no—
1595C4⋊Q8—531no—
1596C4⋊Q8—532no—
1597C4⋊Q8—532no—
1598C4⋊Q8—532no—
1599C4⋊Q8—532no—
1600C4⋊Q8—532no—
1601C4⋊Q8—532no—
1602C4⋊Q8—532no—
1603C4⋊Q8—534no—
1604C4⋊Q8—534no—
1605C4⋊Q8—534no—
1606C4⋊Q8—532no—
1607C4⋊Q8—532no—
1608C4⋊Q8—531no—
1609C4⋊Q8—531no—
1610C4⋊Q8—532no—
1611C4⋊Q8—532no—
1612C4⋊Q8—534no—
1613C4⋊Q8—534no—
1614C4⋊Q8—534no—
1615C4⋊Q8—534no—
1616C4⋊Q8—532no—
1617C4⋊Q8—532no—
1618C4⋊Q8—534no—
1619C4⋊Q8—534no—
1620C4⋊Q8C22×D5312yes—
1621C4⋊Q8C22×D5312yes—
1622#127—531no—
1623#127—531no—
1624#126—532no—
1625#126—532no—
1626#126—532no—
1627#126—532no—
1628#126—534no—
1629#126—534no—
1630#126—534no—
1631#126—534no—
1632#126—534no—
1633#126—534no—
1634#126—532no—
1635#126—532no—
1636#126—532no—
1637#126—532no—
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#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126C22×D5314yes—
1657#126C22×D5314yes—
1658#126C22×D5314yes—
1659#126C22×D5314yes—
1660#125—531no—
1661#125—532no—
1662#125—532no—
1663#125—532no—
1664#125—532no—
1665#125—532no—
1666#125—532no—
1667#125—532no—
1668#125—532no—
1669#125—534no—
1670#125—534no—
1671#125—534no—
1672#125—534no—
1673#125—532no—
1674#125—532no—
1675#125—531no—
1676#125—532no—
1677#125—532no—
1678#125—531no—
1679#125—531no—
1680#125—532no—
1681#125—532no—
1682#125—534no—
1683#125—534no—
1684#125—534no—
1685#125—534no—
1686#125—532no—
1687#125—532no—
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—532no—
1698#125—534no—
1699#125—532no—
1700#125—534no—
1701#125—534no—
1702#125—534no—
1703#125C22×D5312yes—
1704#125C22×D5314yes—
1705#125C22×D5312yes—
1706#124—531no—
1707#124—531no—
1708#124—531no—
1709#124—531no—
1710#124—534no—
1711#124—534no—
1712#124—534no—
1713#124—532no—
1714#124—532no—
1715#124—532no—
1716#124—532no—
1717#124—534no—
1718#124—534no—
1719#124—534no—
1720#124—534no—
1721#124—534no—
1722#124—534no—
1723#124—534no—
1724#124—534no—
1725#124—534no—
1726#124—534no—
1727#124—534no—
1728#124—534no—
1729#124C22×D5314yes—
1730#124C22×D5314yes—
1731#124C22×D5314yes—
1732#123—532no—
1733#123—532no—
1734#123—532no—
1735#123—532no—
1736#123—534no—
1737#123—534no—
1738#123—534no—
1739#123—534no—
1740#123—532no—
1741#123—532no—
1742#123—534no—
1743#123—534no—
1744#123—534no—
1745#123—534no—
1746#123—532no—
1747#123—532no—
1748#123—532no—
1749#123—532no—
1750#123—534no—
1751#123—534no—
1752#123—534no—
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×D5312yes—
1762#123C22×D5314yes—
1763#123C22×D5314yes—
1764C22⋊Q8—532no—
1765C22⋊Q8—532no—
1766C22⋊Q8—534no—
1767C22⋊Q8—534no—
1768C22⋊Q8—534no—
1769C22⋊Q8—531no—
1770C22⋊Q8—531no—
1771C22⋊Q8—531no—
1772C22⋊Q8—531no—
1773C22⋊Q8—532no—
1774C22⋊Q8—534no—
1775C22⋊Q8—532no—
1776C22⋊Q8—534no—
1777C22⋊Q8—534no—
1778C22⋊Q8—534no—
1779C22⋊Q8—534no—
1780C22⋊Q8—534no—
1781C22⋊Q8—532no—
1782C22⋊Q8—534no—
1783C22⋊Q8—534no—
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—534no—
1794C22⋊Q8—534no—
1795C22⋊Q8—534no—
1796C22⋊Q8—534no—
1797C22⋊Q8—534no—
1798C22⋊Q8—534no—
1799C22⋊Q8—534no—
1800C22⋊Q8—534no—
1801C22⋊Q8—534no—
1802C22⋊Q8—534no—
1803C22⋊Q8—532no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—532no—
1807C22⋊Q8—532no—
1808C22⋊Q8—532no—
1809C22⋊Q8—532no—
1810C22⋊Q8—532no—
1811C22⋊Q8—534no—
1812C22⋊Q8—534no—
1813C22⋊Q8—534no—
1814C22⋊Q8—534no—
1815C22⋊Q8—534no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—534no—
1823C22⋊Q8C22×D5311yescharacteristic
1824C22⋊Q8C22×D5311yescharacteristic
1825C22⋊Q8C22×D5311yescharacteristic
1826C22⋊Q8C22×D5311yescharacteristic
1827C22⋊Q8C22×D5312yes—
1828C22⋊Q8C22×D5314yes—
1829C22⋊Q8C22×D5312yes—
1830#121—532no—
1831#121—532no—
1832#121—532no—
1833#121—532no—
1834#121—532no—
1835#121—532no—
1836#121—532no—
1837#121—532no—
1838#121—534no—
1839#121—534no—
1840#121—532no—
1841#121—534no—
1842#121—532no—
1843#121—534no—
1844#121—534no—
1845#121—534no—
1846#121—534no—
1847#121—534no—
1848#121—534no—
1849#121—531no—
1850#121—531no—
1851#121—531no—
1852#121—531no—
1853#121—534no—
1854#121—532no—
1855#121—532no—
1856#121—534no—
1857#121—532no—
1858#121—532no—
1859#121—534no—
1860#121—534no—
1861#121—534no—
1862#121—534no—
1863#121C22×D5311yescharacteristic
1864#121C22×D5311yescharacteristic
1865#121C22×D5311yescharacteristic
1866#121C22×D5311yescharacteristic
1867#121C22×D5312yes—
1868#121C22×D5314yes—
1869#121C22×D5312yes—
1870#121C22×D5314yes—
1871#121C22×D5314yes—
1872#120—532no—
1873#120—532no—
1874#120C22×D5312yes—
1875#120C22×D5312yes—
1876C4×Q8—531no—
1877C4×Q8—531no—
1878C4×Q8—531no—
1879C4×Q8—531no—
1880C4×Q8—534no—
1881C4×Q8—532no—
1882C4×Q8—532no—
1883C4×Q8—532no—
1884C4×Q8—532no—
1885C4×Q8—531no—
1886C4×Q8—531no—
1887C4×Q8—531no—
1888C4×Q8—532no—
1889C4×Q8—532no—
1890C4×Q8—531no—
1891C4×Q8—534no—
1892C4×Q8—534no—
1893C4×Q8—534no—
1894C4×Q8—534no—
1895C4×Q8—534no—
1896C4×Q8—532no—
1897C4×Q8—534no—
1898C4×Q8—532no—
1899C4×Q8—534no—
1900C4×Q8—534no—
1901C4×Q8—534no—
1902C4×Q8—534no—
1903C4×Q8—534no—
1904C4×Q8—534no—
1905C4×Q8—534no—
1906C4×Q8—534no—
1907C4×Q8—532no—
1908C4×Q8—532no—
1909C4×Q8—532no—
1910C4×Q8—532no—
1911C4×Q8—534no—
1912C4×Q8—534no—
1913C4×Q8—534no—
1914C4×Q8—534no—
1915C4×Q8—534no—
1916C4×Q8—532no—
1917C4×Q8—534no—
1918C4×Q8—532no—
1919C4×Q8C22×D5314yes—
1920C4×Q8C22×D5312yes—
1921C4×Q8C22×D5312yes—
1922C4×D4—532no—
1923C4×D4—532no—
1924C4×D4—532no—
1925C4×D4—532no—
1926C4×D4—532no—
1927C4×D4—532no—
1928C4×D4—532no—
1929C4×D4—532no—
1930C4×D4—531no—
1931C4×D4—531no—
1932C4×D4—531no—
1933C4×D4—531no—
1934C4×D4—534no—
1935C4×D4—534no—
1936C4×D4—534no—
1937C4×D4—532no—
1938C4×D4—532no—
1939C4×D4—532no—
1940C4×D4—532no—
1941C4×D4—532no—
1942C4×D4—532no—
1943C4×D4—532no—
1944C4×D4—532no—
1945C4×D4—532no—
1946C4×D4—532no—
1947C4×D4—534no—
1948C4×D4—534no—
1949C4×D4—534no—
1950C4×D4—534no—
1951C4×D4—531no—
1952C4×D4—531no—
1953C4×D4—531no—
1954C4×D4—531no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—532no—
1958C4×D4—532no—
1959C4×D4—532no—
1960C4×D4—532no—
1961C4×D4—532no—
1962C4×D4—532no—
1963C4×D4—532no—
1964C4×D4—532no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—532no—
1968C4×D4—532no—
1969C4×D4—534no—
1970C4×D4—534no—
1971C4×D4—534no—
1972C4×D4—534no—
1973C4×D4—534no—
1974C4×D4—534no—
1975C4×D4—534no—
1976C4×D4—532no—
1977C4×D4—534no—
1978C4×D4—532no—
1979C4×D4C22×D5312yes—
1980C4×D4C22×D5312yes—
1981C4×D4C22×D5312yes—
1982C4×D4C22×D5312yes—
1983C4×D4C22×D5314yes—
1984C4×D4C22×D5312yes—
1985C4×D4C22×D5314yes—
1986C4×D4C22×D5314yes—
1987C4×D4C22×D5312yes—
1988#117—532no—
1989#117—532no—
1990#117—532no—
1991#117—532no—
1992#117—531no—
1993#117—531no—
1994#117—532no—
1995#117—532no—
1996#117—534no—
1997#117—532no—
1998#117—532no—
1999#117—532no—
2000#117—532no—
2001#117—532no—
2002#117—532no—
2003#117—534no—
2004#117—534no—
2005#117—534no—
2006#117—532no—
2007#117—532no—
2008#117—532no—
2009#117—532no—
2010#117—532no—
2011#117—532no—
2012#117—532no—
2013#117—532no—
2014#117—532no—
2015#117—532no—
2016#117—532no—
2017#117—532no—
2018#117—534no—
2019#117—534no—
2020#117—534no—
2021#117—534no—
2022#117—532no—
2023#117—532no—
2024#117—534no—
2025#117—534no—
2026#117—534no—
2027#117—534no—
2028#117C22×D5312yes—
2029#117C22×D5312yes—
2030#117C22×D5312yes—
2031#117C22×D5312yes—
2032#117C22×D5311yescharacteristic
2033#117C22×D5311yescharacteristic
2034#117C22×D5314yes—
2035#117C22×D5314yes—
2036#117C22×D5312yes—
2037#117C22×D5312yes—
2038C2×C4⋊C4—531no—
2039C2×C4⋊C4—531no—
2040C2×C4⋊C4—532no—
2041C2×C4⋊C4—532no—
2042C2×C4⋊C4—532no—
2043C2×C4⋊C4—532no—
2044C2×C4⋊C4—532no—
2045C2×C4⋊C4—532no—
2046C2×C4⋊C4—534no—
2047C2×C4⋊C4—534no—
2048C2×C4⋊C4—532no—
2049C2×C4⋊C4—534no—
2050C2×C4⋊C4—532no—
2051C2×C4⋊C4—534no—
2052C2×C4⋊C4—534no—
2053C2×C4⋊C4—532no—
2054C2×C4⋊C4—532no—
2055C2×C4⋊C4—534no—
2056C2×C4⋊C4—532no—
2057C2×C4⋊C4—532no—
2058C2×C4⋊C4C22×D5311yescharacteristic
2059C2×C4⋊C4C22×D5311yescharacteristic
2060C2×C4⋊C4C22×D5312yes—
2061C2×C4⋊C4C22×D5312yes—
2062C2×C22⋊C4—532no—
2063C2×C22⋊C4C22×D5312yes—
2064C2×C42—532no—
2065C2×C42—531no—
2066C2×C42—531no—
2067C2×C42—532no—
2068C2×C42—532no—
2069C2×C42—531no—
2070C2×C42—531no—
2071C2×C42—531no—
2072C2×C42—531no—
2073C2×C42—531no—
2074C2×C42—531no—
2075C2×C42—531no—
2076C2×C42—531no—
2077C2×C42—531no—
2078C2×C42—531no—
2079C2×C42—532no—
2080C2×C42—532no—
2081C2×C42C22×D5312yes—
2082C24C23×D5311yescharacteristic
2083#41—24no—
2084#41—24no—
2085#41—1064no—
2086#41—1064no—
2087#41—2128no—
2088#41—2124no—
2089#41—2124no—
2090#41—2124no—
2091#41—2124no—
2092#41—2128no—
2093C2×Q8—531no—
2094C2×Q8—531no—
2095C2×Q8—532no—
2096C2×Q8—534no—
2097C2×Q8—532no—
2098C2×Q8—534no—
2099C2×Q8—534no—
2100C2×Q8—534no—
2101C2×Q8—532no—
2102C2×Q8—532no—
2103C2×Q8—534no—
2104C2×Q8—534no—
2105C2×Q8—534no—
2106C2×Q8—2124no—
2107C2×Q8—2124no—
2108C2×Q8—2128no—
2109C2×Q8—2128no—
2110C2×Q8C23×D5311yescharacteristic
2111C2×Q8C23×D5311yescharacteristic
2112C2×Q8C23×D5314yes—
2113C2×D4—532no—
2114C2×D4—532no—
2115C2×D4—532no—
2116C2×D4—532no—
2117C2×D4—532no—
2118C2×D4—532no—
2119C2×D4—532no—
2120C2×D4—532no—
2121C2×D4—534no—
2122C2×D4—534no—
2123C2×D4—532no—
2124C2×D4—532no—
2125C2×D4—531no—
2126C2×D4—531no—
2127C2×D4—534no—
2128C2×D4C23×D5312yes—
2129C2×D4C23×D5312yes—
2130C2×D4C23×D5311yescharacteristic
2131C2×D4C23×D5311yescharacteristic
2132C2×D4C23×D5312yes—
2133C2×D4C23×D5312yes—
2134C2×D4C23×D5312yes—
2135C2×D4C23×D5312yes—
2136C2×D4C23×D5314yes—
2137C22×C4—24no—
2138C22×C4—531no—
2139C22×C4—531no—
2140C22×C4—531no—
2141C22×C4—531no—
2142C22×C4—531no—
2143C22×C4—531no—
2144C22×C4—532no—
2145C22×C4—532no—
2146C22×C4—531no—
2147C22×C4—531no—
2148C22×C4—531no—
2149C22×C4—531no—
2150C22×C4—531no—
2151C22×C4—531no—
2152C22×C4—532no—
2153C22×C4—532no—
2154C22×C4—532no—
2155C22×C4—532no—
2156C22×C4—534no—
2157C22×C4—534no—
2158C22×C4—532no—
2159C22×C4—532no—
2160C22×C4—532no—
2161C22×C4—532no—
2162C22×C4—532no—
2163C22×C4—532no—
2164C22×C4—534no—
2165C22×C4—534no—
2166C22×C4—534no—
2167C22×C4—534no—
2168C22×C4—2122no—
2169C22×C4—2122no—
2170C22×C4C23×D5311yescharacteristic
2171C22×C4C23×D5311yescharacteristic
2172C22×C4C23×D5311yescharacteristic
2173C22×C4C23×D5311yescharacteristic
2174C22×C4C23×D5311yescharacteristic
2175C22×C4C23×D5312yes—
2176C22×C4C23×D5312yes—
2177C22×C4C23×D5312yes—
2178C22×C4C23×D5312yes—
2179C22×C4C23×D5314yes—
2180C22×C4C23×D5314yes—
2181C22×C4C23×D5311yescharacteristic
2182C4⋊C4—531no—
2183C4⋊C4—532no—
2184C4⋊C4—532no—
2185C4⋊C4—532no—
2186C4⋊C4—532no—
2187C4⋊C4—532no—
2188C4⋊C4—532no—
2189C4⋊C4—531no—
2190C4⋊C4—531no—
2191C4⋊C4—532no—
2192C4⋊C4—534no—
2193C4⋊C4—532no—
2194C4⋊C4—534no—
2195C4⋊C4—534no—
2196C4⋊C4—534no—
2197C4⋊C4—534no—
2198C4⋊C4—534no—
2199C4⋊C4—534no—
2200C4⋊C4—534no—
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—531no—
2218C4⋊C4—532no—
2219C4⋊C4—532no—
2220C4⋊C4—532no—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—532no—
2225C4⋊C4—532no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—532no—
2229C4⋊C4—532no—
2230C4⋊C4—532no—
2231C4⋊C4—532no—
2232C4⋊C4—532no—
2233C4⋊C4—532no—
2234C4⋊C4—532no—
2235C4⋊C4—532no—
2236C4⋊C4—532no—
2237C4⋊C4—532no—
2238C4⋊C4—532no—
2239C4⋊C4—532no—
2240C4⋊C4—532no—
2241C4⋊C4—532no—
2242C4⋊C4—534no—
2243C4⋊C4—534no—
2244C4⋊C4—534no—
2245C4⋊C4—534no—
2246C4⋊C4—534no—
2247C4⋊C4—534no—
2248C4⋊C4C23×D5311yescharacteristic
2249C4⋊C4C23×D5311yescharacteristic
2250C4⋊C4C23×D5314yes—
2251C4⋊C4C23×D5312yes—
2252C4⋊C4C23×D5312yes—
2253C4⋊C4C23×D5314yes—
2254C4⋊C4C23×D5311yescharacteristic
2255C4⋊C4C23×D5312yes—
2256C4⋊C4C23×D5312yes—
2257C4⋊C4C23×D5314yes—
2258C4⋊C4C23×D5314yes—
2259C4⋊C4C23×D5312yes—
2260C4⋊C4C23×D5312yes—
2261C4⋊C4C23×D5311yescharacteristic
2262C4⋊C4C23×D5312yes—
2263C4⋊C4C23×D5312yes—
2264C4⋊C4C23×D5314yes—
2265C4⋊C4C23×D5314yes—
2266C22⋊C4—534no—
2267C22⋊C4—534no—
2268C22⋊C4—532no—
2269C22⋊C4—534no—
2270C22⋊C4—532no—
2271C22⋊C4—532no—
2272C22⋊C4—532no—
2273C22⋊C4—532no—
2274C22⋊C4—532no—
2275C22⋊C4—532no—
2276C22⋊C4—532no—
2277C22⋊C4—532no—
2278C22⋊C4—532no—
2279C22⋊C4—534no—
2280C22⋊C4—534no—
2281C22⋊C4—534no—
2282C22⋊C4—532no—
2283C22⋊C4—532no—
2284C22⋊C4—532no—
2285C22⋊C4—532no—
2286C22⋊C4—532no—
2287C22⋊C4—532no—
2288C22⋊C4—532no—
2289C22⋊C4—532no—
2290C22⋊C4—534no—
2291C22⋊C4—534no—
2292C22⋊C4—532no—
2293C22⋊C4—532no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—534no—
2297C22⋊C4—534no—
2298C22⋊C4—534no—
2299C22⋊C4—534no—
2300C22⋊C4—534no—
2301C22⋊C4—534no—
2302C22⋊C4—532no—
2303C22⋊C4—532no—
2304C22⋊C4—532no—
2305C22⋊C4—532no—
2306C22⋊C4C23×D5314yes—
2307C22⋊C4C23×D5314yes—
2308C22⋊C4C23×D5312yes—
2309C22⋊C4C23×D5312yes—
2310C22⋊C4C23×D5314yes—
2311C22⋊C4C23×D5312yes—
2312C22⋊C4C23×D5312yes—
2313C22⋊C4C23×D5312yes—
2314C22⋊C4C23×D5312yes—
2315C22⋊C4C23×D5312yes—
2316C22⋊C4C23×D5312yes—
2317C22⋊C4C23×D5312yes—
2318C22⋊C4C23×D5312yes—
2319C22⋊C4C23×D5314yes—
2320C22⋊C4C23×D5314yes—
2321C22⋊C4C23×D5314yes—
2322C42—531no—
2323C42—531no—
2324C42—531no—
2325C42—531no—
2326C42—531no—
2327C42—531no—
2328C42—531no—
2329C42—531no—
2330C42—531no—
2331C42—531no—
2332C42—531no—
2333C42—531no—
2334C42—531no—
2335C42—531no—
2336C42—531no—
2337C42—531no—
2338C42—532no—
2339C42—532no—
2340C42—532no—
2341C42—532no—
2342C42—534no—
2343C42—534no—
2344C42—532no—
2345C42—532no—
2346C42—532no—
2347C42—532no—
2348C42—532no—
2349C42—532no—
2350C42—534no—
2351C42—534no—
2352C42—534no—
2353C42—534no—
2354C42—534no—
2355C42—534no—
2356C42C23×D5312yes—
2357C42C23×D5312yes—
2358C42C23×D5314yes—
2359C42C23×D5314yes—
2360C42C23×D5314yes—
2361C42C23×D5314yes—
2362C23—22no—
2363C23—41no—
2364C23—41no—
2365C23—532no—
2366C23—532no—
2367C23C24×D5311yescharacteristic
2368C23C24×D5311yescharacteristic
2369C23C24×D5312yes—
2370C23C24×D5312yes—
2371C23C24×D5311yescharacteristic
2372Q8—22no—
2373Q8—22no—
2374Q8—44no—
2375Q8—1068no—
2376Q8—1064no—
2377Q8—1068no—
2378Q8—1064no—
2379Q8—1062no—
2380Q8—1062no—
2381Q8—2124no—
2382Q8—2124no—
2383Q8—2124no—
2384Q8—2124no—
2385Q8—2124no—
2386Q8—2122no—
2387Q8—2122no—
2388D4—24no—
2389D4—24no—
2390D4—22no—
2391D4—22no—
2392D4—42no—
2393D4—42no—
2394D4—44no—
2395D4—42no—
2396D4—42no—
2397D4—1064no—
2398D4—1064no—
2399D4—1064no—
2400D4—1064no—
2401D4—1062no—
2402D4—1062no—
2403D4—2124no—
2404D4—2122no—
2405D4—2122no—
2406D4—2122no—
2407D4—2122no—
2408D4—2124no—
2409D4—2122no—
2410D4—2122no—
2411D4—2124no—
2412C2×C4—22no—
2413C2×C4—22no—
2414C2×C4—22no—
2415C2×C4—22no—
2416C2×C4—22no—
2417C2×C4—24no—
2418C2×C4—24no—
2419C2×C4—42no—
2420C2×C4—44no—
2421C2×C4—42no—
2422C2×C4—44no—
2423C2×C4—531no—
2424C2×C4—531no—
2425C2×C4—531no—
2426C2×C4—531no—
2427C2×C4—532no—
2428C2×C4—532no—
2429C2×C4—532no—
2430C2×C4—531no—
2431C2×C4—531no—
2432C2×C4—532no—
2433C2×C4—534no—
2434C2×C4—534no—
2435C2×C4—532no—
2436C2×C4—531no—
2437C2×C4—531no—
2438C2×C4—532no—
2439C2×C4—1064no—
2440C2×C4—1064no—
2441C2×C4—1062no—
2442C2×C4—1062no—
2443C2×C4—1062no—
2444C2×C4—1062no—
2445C2×C4—1062no—
2446C2×C4—1062no—
2447C2×C4—1064no—
2448C2×C4—1064no—
2449C2×C4—1064no—
2450C2×C4—1064no—
2451C2×C4—2124no—
2452C2×C4—2124no—
2453C2×C4—2124no—
2454C2×C4—2122no—
2455C2×C4—2124no—
2456C2×C4—2122no—
2457C2×C4—2121no—
2458C2×C4—2121no—
2459C2×C4—2121no—
2460C2×C4—2121no—
2461C2×C4—2121no—
2462C2×C4—2121no—
2463C2×C4—2122no—
2464C2×C4—2122no—
2465C2×C4—2124no—
2466C2×C4—2122no—
2467C2×C4—2122no—
2468C2×C4—2124no—
2469C2×C4#1313326414yes—
2470C2×C4C24×D5311yescharacteristic
2471C2×C4C24×D5311yescharacteristic
2472C2×C4C24×D5312yes—
2473C2×C4C24×D5312yes—
2474C2×C4C24×D5312yes—
2475C2×C4C24×D5312yes—
2476C2×C4C24×D5314yes—
2477C2×C4C24×D5312yes—
2478C2×C4C24×D5312yes—
2479C2×C4C24×D5314yes—
2480C2×C4C24×D5311yescharacteristic
2481C2×C4C24×D5311yescharacteristic
2482C22—21no—
2483C22—21no—
2484C22—21no—
2485C22—21no—
2486C22—22no—
2487C22—22no—
2488C22—22no—
2489C22—22no—
2490C22—21no—
2491C22—21no—
2492C22—21no—
2493C22—21no—
2494C22—22no—
2495C22—22no—
2496C22—44no—
2497C22—1062no—
2498C22—1062no—
2499C22—1062no—
2500C22—1062no—
2501C22—1062no—
2502C22—1062no—
2503C22C2×#1313326412yes—
2504C22C25×D5311yescharacteristic
2505C4—21no—
2506C4—21no—
2507C4—22no—
2508C4—22no—
2509C4—24no—
2510C4—22no—
2511C4—22no—
2512C4—24no—
2513C4—22no—
2514C4—22no—
2515C4—532no—
2516C4—532no—
2517C4—1062no—
2518C4—1062no—
2519C4—1061no—
2520C4—1061no—
2521C4—1062no—
2522C4—1061no—
2523C4—1061no—
2524C4—1061no—
2525C4—1061no—
2526C4—1062no—
2527C4—1062no—
2528C4—1064no—
2529C4—1064no—
2530C4—1062no—
2531C4C2×#1313326412yes—
2532C4C2×#1313326412yes—
2533C2—22no—
2534C2—41no—
2535C2—41no—
2536C2—42no—
2537C2—42no—
2538C2—2122no—
2539C2—2122no—
2540C2C22×#1313326411yescharacteristic
2541C2#585×D5311yescharacteristic
2542C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3493C2
hypercenter#3493D53
hypocenterC53#62838
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. #20289365C2semidirect
2. #20289361C2semidirect
3. #20289354C2semidirect
4. #20289346C2semidirect
5. #20289198C2semidirect
6. #20289190C2semidirect
7. #20289099C2semidirect
8. #20289091C2semidirect
9. #20289003C2semidirect
10. #20288995C2semidirect
11. #20288731C2semidirect
12. #20288729C2semidirect
13. #20288704C2semidirect
14. #20288698C2semidirect
15. #20288690C2semidirect
16. #20288686C2semidirect
17. #20288636C2semidirect
18. #20288632C2semidirect
19. #20288624C2semidirect
20. #20288618C2semidirect
21. #20288617C2semidirect
22. #20288615C2semidirect
23. #20288595C2semidirect
24. #20288593C2semidirect
25. #20288538C2semidirect
26. #20288537C2semidirect
27. #20288530C2semidirect
28. #20288528C2semidirect
29. #20288435C2semidirect
30. #20288432C2semidirect
31. #20288432C2semidirect
32. #20288007C2semidirect
33. #20288007C2semidirect
34. C2×#16811176C2semidirect
35. C53×#3493C2semidirect
44. Q8×Dic106C22semidirect
45. #16811353C22semidirect
46. #16811352C22semidirect
47. #16811351C22semidirect
48. #16811350C22semidirect
49. #16811350C22semidirect
50. #16811350C22semidirect
51. #16811349C22semidirect
52. #16811349C22semidirect
53. #16811348C22semidirect
54. #16811346C22semidirect
57. #16811344C22semidirect
61. #16811342C22semidirect
64. #16811341C22semidirect
65. #16811341C22semidirect
66. #16811341C22semidirect
68. #16811340C22semidirect
69. #16811340C22semidirect
74. #16811337C22semidirect
77. #16811336C22semidirect
78. #16811334C22semidirect
81. #16811332C22semidirect
82. #16811332C22semidirect
84. #16811331C22semidirect
86. #16811330C22semidirect
87. #16811329C22semidirect
88. #16811329C22semidirect
89. #16811328C22semidirect
93. #16811325C22semidirect
96. #16811321C22semidirect
99. #16811320C22semidirect
105. #16811317C22semidirect
108. #16811315C22semidirect
111. #16811313C22semidirect
114. #16811312C22semidirect
115. #16811311C22semidirect
118. #16811309C22semidirect
119. #16811309C22semidirect
120. #16811308C22semidirect
123. #16811307C22semidirect
124. #16811306C22semidirect
125. #16811306C22semidirect
127. D4×Dic106C22semidirect
128. #16811288C22semidirect
131. #16811282C22semidirect
133. #16811281C22semidirect
136. #16811274C22semidirect
138. #16811273C22semidirect
141. #16811254C22semidirect
142. #16811254C22semidirect
143. #16811253C22semidirect
144. #16811253C22semidirect
147. #16811251C22semidirect
148. #16811251C22semidirect
149. #16811250C22semidirect
150. #16811250C22semidirect
151. #16811246C22semidirect
152. #16811245C22semidirect
153. #16811244C22semidirect
157. #16811240C22semidirect
159. #16811239C22semidirect
160. #16811239C22semidirect
161. #16811238C22semidirect
162. #16811238C22semidirect
165. #16811237C22semidirect
166. #16811237C22semidirect
167. #16811235C22semidirect
168. #16811233C22semidirect
169. #16811232C22semidirect
170. #16811232C22semidirect
171. #16811231C22semidirect
172. #16811231C22semidirect
175. #16811230C22semidirect
176. #16811230C22semidirect
177. #16811226C22semidirect
178. #16811224C22semidirect
193. #16811179C22semidirect
194. #16811178C22semidirect
195. #16811177C22semidirect
206. #16811176C22semidirect
207. #16811176C22semidirect
212. #16811175C22semidirect
213. #16811170C22semidirect
220. #16811168C22semidirect
223. C2×#13133216C22semidirect
224. C4⋊Q8×D53C22semidirect
225. #16811160C22semidirect
230. #16811159C22semidirect
232. #16811155C22semidirect
237. #16811154C22semidirect
250. C2×#13133208C22semidirect
251. #125×D53C22semidirect
266. #16811103C22semidirect
267. #16811102C22semidirect
268. #16811100C22semidirect
269. #16811099C22semidirect
1293. #3493D53semidirect
1570. C53#62838semidirect

Maximal subgroups

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

subgroupindex
#202893652
#202893612
#202893542
#202893462
#202891982
#202891902
#202890992
#202890912
#202890032
#202889952
#202887312
#202887292
#202887042
#202886982
#202886902
#202886862
#202886362
#202886322
#202886242
#202886182
#202886172
#202886152
#202885952
#202885932
#202885382
#202885372
#202885302
#202885282
#202884352
#202884322
#202880072
C2×#168111762
C53×#34932
#6283853