Finite Group Databasebeta

← #28292962

Subgroups — #28292962

Order 13568.

6528 conjugacy classes of subgroups.

The subgroup lattice has 2536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289354C212yesmaximal, complemented
2#20289346C212yesmaximal, complemented
3#20289335C214yesmaximal, complemented
4#20289223C212yesmaximal, complemented
5#20289214C212yesmaximal, complemented
6#20289193C212yesmaximal, complemented
7#20289184C212yesmaximal, complemented
8#20289150C212yesmaximal, complemented
9#20289057C212yesmaximal, complemented
10#20288920C214yesmaximal, complemented
11#20288803C212yesmaximal, complemented
12#20288798C212yesmaximal, complemented
13#20288753C214yesmaximal, complemented
14#20288729C212yesmaximal, complemented
15#20288694C212yesmaximal, complemented
16#20288690C212yesmaximal, complemented
17#20288690C212yesmaximal, complemented
18#20288614C211yesmaximal, characteristic, complemented
19#20288612C211yesmaximal, characteristic, complemented
20#20288582C212yesmaximal, complemented
21#20288579C211yesmaximal, characteristic, complemented
22#20288571C212yesmaximal, complemented
23#20288560C211yesmaximal, characteristic, complemented
24#20288538C211yesmaximal, characteristic, complemented
25#20288537C211yesmaximal, characteristic, complemented
26#20288521C211yesmaximal, characteristic, complemented
27#20288517C211yesmaximal, characteristic, complemented
28#20288461C211yesmaximal, characteristic, complemented
29#20288456C214yesmaximal, complemented
30#20288452C211yesmaximal, characteristic, complemented
31#20288450C211yesmaximal, characteristic, complemented
32#20288007C211yesmaximal, characteristic, complemented
33C2×#16811176C211yesmaximal, characteristic, complemented
34C2×#16811159C211yesmaximal, characteristic, complemented
35C53×#3495C211yesmaximal, characteristic, complemented
36#16811377C2214yescomplemented
37#16811377C2214yescomplemented
38#16811375C2214yescomplemented
39#16811375C2214yescomplemented
40#16811375C2214yescomplemented
41#16811374C2214yescomplemented
42#16811370C2214yescomplemented
43#16811367C2214yescomplemented
44#16811358C2212yescomplemented
45#16811358C2212yescomplemented
46#16811358C2212yescomplemented
47#16811356C2212yescomplemented
48#16811355C2212yescomplemented
49#16811355C2212yescomplemented
50#16811355C2212yescomplemented
51Q8×Dic106C2212yescomplemented
52Q8×Dic106C2212yescomplemented
53#16811352C2212yescomplemented
54#16811352C2212yescomplemented
55#16811352C2212yescomplemented
56#16811350C2212yescomplemented
57#16811349C2212yescomplemented
58#16811349C2212yescomplemented
59#16811349C2212yescomplemented
60#16811349C2212yescomplemented
61#16811349C2212yescomplemented
62#16811348C2212yescomplemented
63#16811348C2212yescomplemented
64#16811347C2212yescomplemented
65#16811347C2212yescomplemented
66#16811347C2212yescomplemented
67#16811346C2214yescomplemented
68#16811346C2214yescomplemented
69#16811345C2212yescomplemented
70#16811345C2212yescomplemented
71#16811345C2212yescomplemented
72#16811344C2212yescomplemented
73#16811344C2212yescomplemented
74#16811342C2212yescomplemented
75#16811341C2214yescomplemented
76#16811340C2214yescomplemented
77#16811340C2214yescomplemented
78#16811338C2212yes—
79#16811336C2212yes—
80#16811336C2212yescomplemented
81#16811334C2212yescomplemented
82#16811334C2212yescomplemented
83#16811334C2212yescomplemented
84#16811332C2214yes—
85#16811332C2212yescomplemented
86#16811331C2214yes—
87#16811331C2212yescomplemented
88#16811331C2212yescomplemented
89#16811330C2214yes—
90#16811330C2212yescomplemented
91#16811329C2212yescomplemented
92#16811329C2212yescomplemented
93#16811329C2212yescomplemented
94#16811329C2212yescomplemented
95#16811329C2212yescomplemented
96#16811327C2214yes—
97#16811321C2212yes—
98#16811321C2212yescomplemented
99#16811319C2212yes—
100#16811319C2212yes—
101#16811317C2212yes—
102#16811317C2212yescomplemented
103#16811315C2212yescomplemented
104#16811315C2214yescomplemented
105#16811315C2212yescomplemented
106#16811315C2214yescomplemented
107#16811311C2214yescomplemented
108#16811311C2214yescomplemented
109#16811311C2214yescomplemented
110#16811311C2214yescomplemented
111#16811309C2214yescomplemented
112#16811309C2214yescomplemented
113#16811309C2214yescomplemented
114#16811308C2214yes—
115#16811307C2212yescomplemented
116#16811307C2212yescomplemented
117#16811306C2214yescomplemented
118#16811306C2214yescomplemented
119#16811306C2214yescomplemented
120#16811299C2214yes—
121#16811297C2214yes—
122#16811297C2214yes—
123#16811297C2214yes—
124#16811296C2214yes—
125#16811296C2214yes—
126#16811296C2214yes—
127#16811294C2212yescomplemented
128#16811288C2212yescomplemented
129#16811288C2212yescomplemented
130#16811286C2214yescomplemented
131#16811282C2214yescomplemented
132#16811281C2214yescomplemented
133#16811277C2212yes—
134#16811277C2214yescomplemented
135#16811274C2212yes—
136#16811274C2212yescomplemented
137#16811271C2214yescomplemented
138#16811271C2214yescomplemented
139#16811271C2214yescomplemented
140#16811263C2214yes—
141#16811260C2214yes—
142#16811254C2211yescharacteristic
143#16811254C2212yescomplemented
144#16811253C2212yescomplemented
145#16811253C2214yescomplemented
146#16811251C2211yescharacteristic
147#16811251C2211yescharacteristic
148#16811251C2214yes—
149#16811251C2212yescomplemented
150#16811250C2212yescomplemented
151#16811248C2214yes—
152#16811246C2212yes—
153#16811246C2212yescomplemented
154#16811246C2212yescomplemented
155#16811246C2212yescomplemented
156#16811245C2212yescomplemented
157#16811245C2212yescomplemented
158#16811244C2212yes—
159#16811244C2214yescomplemented
160#16811242C2214yescomplemented
161#16811239C2214yescomplemented
162#16811239C2214yescomplemented
163#16811239C2214yescomplemented
164#16811239C2214yescomplemented
165#16811239C2214yescomplemented
166#16811237C2214yescomplemented
167#16811236C2214yescomplemented
168#16811233C2212yescomplemented
169#16811232C2214yescomplemented
170#16811232C2214yescomplemented
171#16811232C2214yescomplemented
172#16811232C2214yescomplemented
173#16811231C2214yescomplemented
174#16811228C2212yes—
175#16811226C2212yes—
176#16811222C2214yescomplemented
177#16811222C2214yescomplemented
178#16811222C2214yescomplemented
179#16811217C2214yes—
180#16811217C2214yescomplemented
181#16811217C2214yescomplemented
182#16811216C2214yescomplemented
183#16811215C2214yescomplemented
184#16811214C2214yescomplemented
185#16811214C2214yescomplemented
186#16811214C2214yescomplemented
187#16811206C2214yes—
188#16811199C2214yescomplemented
189#16811197C2211yescharacteristic
190#16811196C2214yescomplemented
191#16811195C2214yescomplemented
192#16811192C2211yescharacteristic
193#16811187C2211yescharacteristic
194#16811178C2212yescomplemented
195#16811176C2211yescharacteristic
196#16811176C2211yescharacteristic
197#16811176C2211yescharacteristic
198#16811176C2211yescharacteristic
199#16811176C2212yes—
200#16811176C2212yes—
201#16811176C2211yescharacteristic
202#16811176C2214yes—
203#16811176C2211yescharacteristic, complemented
204#16811176C2211yescharacteristic, complemented
205#16811176C2212yescomplemented
206#16811176C2211yescharacteristic, complemented
207#16811176C2212yescomplemented
208#16811176C2211yescharacteristic, complemented
209#16811176C2212yescomplemented
210#16811175C2211yescharacteristic, complemented
211#16811175C2211yescharacteristic, complemented
212#16811175C2212yescomplemented
213#16811173C2212yes—
214#16811169C2211yescharacteristic
215#16811168C2212yes—
216#16811168C2211yescharacteristic, complemented
217#16811168C2211yescharacteristic, complemented
218C2×#13133216C2211yescharacteristic, complemented
219C2×#13133216C2211yescharacteristic, complemented
220#16811160C2212yescomplemented
221#16811160C2212yescomplemented
222#16811159C2212yes—
223#16811159C2212yes—
224#16811159C2212yes—
225#16811159C2212yes—
226#16811159C2212yes—
227#16811159C2212yes—
228#16811159C2212yes—
229#16811159C2212yes—
230#16811159C2212yes—
231#16811159C2211yescharacteristic, complemented
232#16811159C2211yescharacteristic, complemented
233#16811159C2212yescomplemented
234#16811159C2212yescomplemented
235#16811159C2212yescomplemented
236#16811157C2212yes—
237#16811154C2211yescharacteristic, complemented
238#16811154C2211yescharacteristic, complemented
239#16811153C2212yescomplemented
240#16811153C2212yescomplemented
241#16811150C2212yes—
242#16811150C2212yes—
243#16811150C2214yes—
244C2×#13133212C2212yes—
245C2×#13133208C2211yescharacteristic
246C2×#13133208C2211yescharacteristic, complemented
247C2×#13133208C2211yescharacteristic, complemented
248C2×#13133208C2212yescomplemented
249#125×D53C2212yescomplemented
250C2×#13133206C2211yescharacteristic
251#16811134C2211yescharacteristic
252#16811132C2214yes—
253#16811129C2212yes—
254#16811129C2212yes—
255C2×#13133201C2212yes—
256C2×#13133194C2212yes—
257C2×#13133194C2212yes—
258C22⋊Q8×D53C2214yes—
259C2×#13133191C2211yescharacteristic
260#16811106C2211yescharacteristic
261#16811104C2211yescharacteristic
262#16811103C2211yescharacteristic
263#16811103C2214yescomplemented
264#16811103C2214yescomplemented
265#16811102C2214yescomplemented
266#16811101C2211yescharacteristic
267#16811099C2214yescomplemented
268#16811097C2211yescharacteristic
269#16811097C2211yescharacteristic
270#41×Dic53C2211yescharacteristic
271#16811091C2211yescharacteristic
272C4×#11719947C2212yescomplemented
273C4×#11719947C2212yescomplemented
274C2×Q8×Dic53C2211yescharacteristic
275C2×C4×Dic106C2212yescomplemented
276C2×C4×Dic106C2212yescomplemented
277C2×#13133179C2211yescharacteristic
278C2×#13133177C2212yes—
279C2×#13133176C2211yescharacteristic
280C2×#13133175C2212yes—
281C22×C4×Dic53C2211yescharacteristic
282C53×#556C2212yescomplemented
283C53×#554C2212yescomplemented
284C53×#552C2214yes—
285C53×#552C2212yescomplemented
286C53×#552C2212yescomplemented
287C53×#551C2214yes—
288C53×#544C2211yescharacteristic
289C53×#542C2212yescomplemented
290C53×#541C2212yescomplemented
291C53×#536C2211yescharacteristic
292C53×#533C2212yescomplemented
293C53×#529C2212yescomplemented
294C53×#525C2211yescharacteristic
295C2×C22⋊Q8×C53C2211yescharacteristic
296C53×#520C2211yescharacteristic
297C53×#519C2211yescharacteristic
298C2×#117×C53C2211yescharacteristic
299C2×#11719945C2311yescharacteristic
300C2×#11719945C2314yes—
301C2×#11719945C2314yes—
302C2×#11719947C2312yes—
303C2×#11719947C2312yes—
304C2×#11719947C2314yes—
305C22×Dic106C2312yes—
306C22×Dic106C2312yes—
307C2×Q8×D53C2314yes—
308C22×D212C2311yescharacteristic
309C22×C22⋊D53C2312yes—
310C23×Dic53C2311yescharacteristic
311C23×Dic53C2311yescharacteristic
312C22×C4×D53C2312yes—
313#13133217C2312yes—
314#13133217C2314yes—
315#13133217C2314yes—
316#13133217C2312yes—
317#13133217C2314yes—
318#13133216C2314yes—
319#13133216C2314yes—
320#13133216C2314yes—
321#13133216C2312yes—
322#13133216C2311yescharacteristic
323#13133216C2314yes—
324#13133216C2311yescharacteristic
325#13133216C2311yescharacteristic
326#13133216C2312yes—
327#13133216C2312yes—
328#13133216C2311yescharacteristic
329#13133216C2311yescharacteristic
330#13133216C2312yes—
331#13133216C2314yes—
332#13133216C2311yescharacteristic
333#13133216C2314yes—
334#13133216C2312yes—
335#13133216C2312yes—
336#13133216C2312yes—
337#13133216C2312yes—
338#13133216C2311yescharacteristic
339#13133216C2311yescharacteristic
340#13133216C2311yescharacteristic
341#13133216C2311yescharacteristic
342#13133215C2314yes—
343#13133215C2312yes—
344#13133215C2311yescharacteristic
345#13133214C2312yes—
346#13133213C2311yescharacteristic
347#13133213C2312yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2314yes—
352#13133212C2314yes—
353#13133212C2314yes—
354#13133212C2314yes—
355#13133212C2314yes—
356#13133212C2314yes—
357#13133212C2314yes—
358#13133212C2314yes—
359#13133212C2314yes—
360#13133212C2312yes—
361#13133212C2314yes—
362#13133212C2314yes—
363#13133212C2314yes—
364#13133212C2314yes—
365#13133212C2312yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133211C2314yes—
369#13133211C2314yes—
370#13133211C2314yes—
371#13133211C2314yes—
372#13133210C2314yes—
373#13133210C2314yes—
374#13133210C2314yes—
375#13133210C2312yes—
376#13133210C2314yes—
377#13133210C2312yes—
378#13133209C2314yes—
379#13133209C2314yes—
380#13133209C2314yes—
381#13133209C2312yes—
382#13133209C2312yes—
383#13133208C2311yescharacteristic
384#13133208C2312yes—
385#13133208C2314yes—
386#13133208C2312yes—
387#13133208C2314yes—
388#13133208C2314yes—
389#13133208C2312yes—
390#13133208C2314yes—
391#13133208C2314yes—
392#13133208C2314yes—
393#13133208C2314yes—
394#13133208C2311yescharacteristic
395#13133208C2314yes—
396#13133208C2314yes—
397#13133208C2312yes—
398#13133208C2311yescharacteristic
399#13133208C2311yescharacteristic
400#13133208C2311yescharacteristic
401#13133208C2312yes—
402#13133208C2312yes—
403#13133208C2312yes—
404#13133208C2311yescharacteristic
405#13133208C2312yes—
406#13133208C2311yescharacteristic
407#13133208C2312yes—
408#13133208C2312yes—
409#13133208C2311yescharacteristic
410#13133208C2311yescharacteristic
411#13133208C2311yescharacteristic
412#13133208C2312yes—
413#13133208C2312yes—
414#13133207C2314yes—
415#13133207C2314yes—
416#13133207C2314yes—
417#13133207C2314yes—
418#13133207C2314yes—
419#13133207C2314yes—
420#13133207C2314yes—
421#13133207C2314yes—
422#13133207C2312yes—
423#13133207C2312yes—
424#13133206C2312yes—
425#13133206C2312yes—
426#13133206C2312yes—
427#13133206C2311yescharacteristic
428#13133206C2312yes—
429#13133206C2312yes—
430#13133206C2312yes—
431#13133205C2314yes—
432#13133205C2314yes—
433#13133205C2314yes—
434#13133205C2314yes—
435#13133205C2312yes—
436#13133204C2311yescharacteristic
437#13133203C2314yes—
438#13133203C2314yes—
439#13133203C2314yes—
440#13133203C2314yes—
441#13133203C2314yes—
442#13133203C2314yes—
443#13133203C2314yes—
444#13133203C2314yes—
445#13133203C2312yes—
446#13133203C2312yes—
447#13133202C2314yes—
448#13133202C2314yes—
449#13133202C2314yes—
450#13133202C2314yes—
451#13133202C2314yes—
452#13133202C2314yes—
453#13133202C2314yes—
454#13133202C2314yes—
455#13133201C2314yes—
456#13133201C2314yes—
457#13133201C2314yes—
458#13133201C2314yes—
459#13133201C2314yes—
460#13133201C2314yes—
461#13133201C2314yes—
462#13133201C2314yes—
463#13133201C2314yes—
464#13133201C2314yes—
465#13133201C2312yes—
466#13133201C2312yes—
467#13133200C2314yes—
468#13133200C2314yes—
469#13133200C2314yes—
470#13133200C2312yes—
471#13133199C2314yes—
472#13133199C2314yes—
473#13133199C2314yes—
474#13133199C2314yes—
475#13133199C2314yes—
476#13133199C2314yes—
477#13133199C2314yes—
478#13133199C2314yes—
479#13133198C2312yes—
480#13133198C2312yes—
481#13133197C2314yes—
482#13133197C2314yes—
483#13133197C2314yes—
484#13133197C2314yes—
485#13133197C2314yes—
486#13133197C2314yes—
487#13133197C2314yes—
488#13133197C2314yes—
489#13133197C2314yes—
490#13133197C2314yes—
491#13133196C2314yes—
492#13133196C2314yes—
493#13133196C2314yes—
494#13133196C2311yescharacteristic
495#13133196C2311yescharacteristic
496#13133195C2314yes—
497#13133195C2314yes—
498#13133195C2314yes—
499#13133195C2314yes—
500#13133195C2314yes—
501#13133195C2314yes—
502#13133195C2314yes—
503#13133195C2314yes—
504#13133195C2314yes—
505#13133195C2314yes—
506#13133195C2314yes—
507#13133195C2314yes—
508#13133194C2312yes—
509#13133194C2314yes—
510#13133194C2314yes—
511#13133194C2312yes—
512#13133194C2314yes—
513#13133194C2312yes—
514#13133194C2314yes—
515#13133194C2312yes—
516#13133194C2312yes—
517#13133194C2314yes—
518#13133194C2312yes—
519#13133194C2312yes—
520#13133194C2314yes—
521#13133194C2314yes—
522#13133194C2314yes—
523#13133194C2312yes—
524#13133194C2312yes—
525#13133194C2312yes—
526#13133194C2312yes—
527#13133194C2312yes—
528#13133194C2312yes—
529#13133194C2312yes—
530#13133194C2312yes—
531#13133194C2312yes—
532#13133194C2312yes—
533#13133194C2312yes—
534#13133194C2312yes—
535#13133194C2312yes—
536#13133193C2314yes—
537#13133193C2314yes—
538#13133193C2314yes—
539#13133193C2312yes—
540#13133193C2312yes—
541#13133193C2314yes—
542#13133193C2314yes—
543#13133192C2312yes—
544#13133192C2312yes—
545#13133191C2312yes—
546#13133191C2312yes—
547#13133191C2312yes—
548#13133191C2314yes—
549#13133191C2314yes—
550#13133191C2312yes—
551#13133191C2312yes—
552#13133191C2312yes—
553#13133191C2311yescharacteristic
554#13133191C2311yescharacteristic
555#13133190C2314yes—
556#13133190C2314yes—
557#13133190C2314yes—
558#13133190C2314yes—
559#13133189C2312yes—
560#13133189C2314yes—
561#13133189C2314yes—
562#13133189C2312yes—
563#13133189C2312yes—
564#13133189C2312yes—
565#13133188C2314yes—
566#13133187C2314yes—
567#13133186C2312yes—
568#13133185C2314yes—
569Q8×Dic53C2312yes—
570Q8×Dic53C2312yes—
571Q8×Dic53C2314yes—
572Q8×Dic53C2312yes—
573Q8×Dic53C2312yes—
574Q8×Dic53C2312yes—
575Q8×Dic53C2312yes—
576Q8×Dic53C2311yescharacteristic
577Q8×Dic53C2311yescharacteristic
578Q8×Dic53C2312yes—
579Q8×Dic53C2312yes—
580Q8×Dic53C2312yes—
581C4×Dic106C2314yes—
582C4×Dic106C2314yes—
583C4×Dic106C2312yes—
584C4×Dic106C2312yes—
585C4×Dic106C2312yes—
586C4×Dic106C2312yes—
587C4×Dic106C2314yes—
588C4×Dic106C2312yes—
589C4×Dic106C2314yes—
590C4×Dic106C2312yes—
591C4×Dic106C2314yes—
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594C4×Dic106C2312yes—
595C4×Dic106C2312yes—
596C4×Dic106C2314yes—
597C4×Dic106C2312yes—
598C4×Dic106C2312yes—
599C4×Dic106C2312yes—
600C4×Dic106C2312yes—
601C4×Dic106C2312yes—
602C4×Dic106C2312yes—
603C4×Dic106C2312yes—
604C4×Dic106C2312yes—
605C4×Dic106C2312yes—
606#13133182C2314yes—
607#13133182C2314yes—
608#13133182C2314yes—
609#13133182C2311yescharacteristic
610#13133182C2311yescharacteristic
611#13133182C2312yes—
612#13133182C2312yes—
613#13133182C2312yes—
614C4×D212C2312yes—
615C4×D212C2314yes—
616C4×D212C2314yes—
617C4×D212C2312yes—
618C4×D212C2312yes—
619C4×D212C2314yes—
620C4×D212C2314yes—
621C4×D212C2312yes—
622C4×D212C2312yes—
623D4×Dic53C2312yes—
624D4×Dic53C2312yes—
625D4×Dic53C2314yes—
626D4×Dic53C2311yescharacteristic
627D4×Dic53C2312yes—
628D4×Dic53C2311yescharacteristic
629D4×Dic53C2312yes—
630D4×Dic53C2312yes—
631#13133179C2312yes—
632#13133179C2312yes—
633#13133179C2312yes—
634#13133179C2312yes—
635#13133179C2312yes—
636#13133179C2312yes—
637#13133179C2312yes—
638#13133179C2312yes—
639#13133179C2311yescharacteristic
640#13133179C2312yes—
641#13133179C2311yescharacteristic
642C4×C22⋊D53C2312yes—
643C4×C22⋊D53C2312yes—
644C4×C22⋊D53C2314yes—
645C4×C22⋊D53C2314yes—
646C4×C22⋊D53C2312yes—
647C4×C22⋊D53C2312yes—
648C4×C22⋊D53C2314yes—
649#13133177C2314yes—
650#13133177C2314yes—
651#13133177C2314yes—
652#13133177C2314yes—
653#13133177C2314yes—
654#13133177C2314yes—
655#13133177C2314yes—
656#13133177C2314yes—
657#13133177C2312yes—
658#13133177C2312yes—
659#13133177C2314yes—
660#13133177C2314yes—
661#13133177C2314yes—
662#13133177C2312yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133176C2314yes—
667#13133176C2312yes—
668#13133176C2311yescharacteristic
669#13133176C2312yes—
670#13133176C2311yescharacteristic
671#13133176C2311yescharacteristic
672#13133176C2311yescharacteristic
673#13133176C2312yes—
674#13133176C2311yescharacteristic
675#13133176C2312yes—
676#13133175C2314yes—
677#13133175C2314yes—
678#13133175C2314yes—
679#13133175C2314yes—
680#13133175C2314yes—
681#13133175C2314yes—
682#13133175C2314yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133175C2312yes—
686#13133175C2312yes—
687#13133175C2314yes—
688#13133175C2314yes—
689#13133174C2314yes—
690#13133174C2314yes—
691#13133174C2314yes—
692#13133174C2314yes—
693#13133174C2312yes—
694#13133173C2314yes—
695#13133173C2312yes—
696#13133173C2312yes—
697#13133173C2312yes—
698#13133173C2312yes—
699#13133173C2314yes—
700C2×C4⋊Dic53C2311yescharacteristic
701C2×C4⋊Dic53C2312yes—
702C2×C4⋊Dic53C2312yes—
703C2×C4⋊Dic53C2314yes—
704C2×C4⋊Dic53C2311yescharacteristic
705C2×C4⋊Dic53C2312yes—
706C2×C4⋊Dic53C2312yes—
707C2×C4⋊Dic53C2311yescharacteristic
708C2×C4⋊Dic53C2312yes—
709C2×#11719919C2312yes—
710C2×#11719919C2312yes—
711C2×#11719919C2314yes—
712C2×#11719919C2312yes—
713C2×#11719919C2312yes—
714C2×#11719919C2312yes—
715C4⋊C4×D53C2314yes—
716C4⋊C4×D53C2314yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2314yes—
721C4⋊C4×D53C2314yes—
722C2×C22⋊Dic53C2312yes—
723C2×#11719921C2312yes—
724C2×#11719921C2312yes—
725C2×#11719921C2312yes—
726C2×#11719921C2312yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
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×Dic53C2311yescharacteristic
741C2×C4×Dic53C2312yes—
742C2×C4×Dic53C2312yes—
743C2×C4×Dic53C2312yes—
744C42×D53C2312yes—
745C2×#41×C53C2311yescharacteristic
746C22×Q8×C53C2311yescharacteristic
747C23×C4×C53C2311yescharacteristic
748C4⋊Q8×C53C2312yes—
749C4⋊Q8×C53C2312yes—
750C4⋊Q8×C53C2312yes—
751#126×C53C2314yes—
752#126×C53C2314yes—
753#126×C53C2314yes—
754#126×C53C2314yes—
755#125×C53C2312yes—
756#125×C53C2314yes—
757#125×C53C2314yes—
758#125×C53C2314yes—
759#125×C53C2312yes—
760#124×C53C2314yes—
761#124×C53C2312yes—
762#123×C53C2314yes—
763#123×C53C2314yes—
764#123×C53C2312yes—
765#123×C53C2314yes—
766C22⋊Q8×C53C2314yes—
767C22⋊Q8×C53C2312yes—
768C22⋊Q8×C53C2312yes—
769C22⋊Q8×C53C2312yes—
770C22⋊Q8×C53C2312yes—
771C22⋊Q8×C53C2311yescharacteristic
772C22⋊Q8×C53C2311yescharacteristic
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2312yes—
775C22⋊Q8×C53C2314yes—
776C22⋊Q8×C53C2314yes—
777#121×C53C2311yescharacteristic
778#121×C53C2311yescharacteristic
779#120×C53C2312yes—
780C4×Q8×C53C2312yes—
781C4×Q8×C53C2312yes—
782C4×Q8×C53C2312yes—
783C4×Q8×C53C2312yes—
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2314yes—
786C4×D4×C53C2312yes—
787C4×D4×C53C2314yes—
788C4×D4×C53C2312yes—
789C4×D4×C53C2314yes—
790C4×D4×C53C2312yes—
791#117×C53C2312yes—
792#117×C53C2311yescharacteristic
793#117×C53C2311yescharacteristic
794#117×C53C2311yescharacteristic
795#117×C53C2312yes—
796#117×C53C2311yescharacteristic
797#117×C53C2314yes—
798#117×C53C2311yescharacteristic
799#117×C53C2312yes—
800#117×C53C2314yes—
801#117×C53C2314yes—
802C2×C4⋊C4×C53C2311yescharacteristic
803C2×C4⋊C4×C53C2312yes—
804C2×C4⋊C4×C53C2311yescharacteristic
805C2×C4⋊C4×C53C2311yescharacteristic
806C2×C4⋊C4×C53C2312yes—
807C2×C22⋊C4×C53C2312yes—
808C2×C22⋊C4×C53C2312yes—
809C2×C42×C53C2312yes—
810C24×C53C2411yescharacteristic
811C23×D53C2412yes—
812#41×C53—24no—
813C2×Q8×C53—24no—
814C2×Q8×C53C2412yes—
815C2×Q8×C53C2412yes—
816C2×Q8×C53C2411yescharacteristic
817C2×Q8×C53C2414yes—
818C2×D4×C53C2412yes—
819C2×D4×C53C2412yes—
820C2×D4×C53C2411yescharacteristic
821C2×D4×C53C2412yes—
822C22×C4×C53—24no—
823C22×C4×C53C2411yescharacteristic
824C22×C4×C53C2412yes—
825C22×C4×C53C2412yes—
826C22×C4×C53C2411yescharacteristic
827C22×C4×C53C2411yescharacteristic
828C22×C4×C53C2412yes—
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2411yescharacteristic
831C22×C4×C53C2412yes—
832C22×C4×C53C2412yes—
833C22×C4×C53C2414yes—
834C22×C4×C53C2411yescharacteristic
835C2×C22⋊D53—44no—
836C2×C22⋊D53C2412yes—
837C2×C22⋊D53C2412yes—
838C2×C22⋊D53C2412yes—
839C2×C22⋊D53C2414yes—
840C2×C22⋊D53C2414yes—
841C2×C22⋊D53C2414yes—
842C2×C22⋊D53C2414yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C22×Dic53—42no—
846C22×Dic53—42no—
847C22×Dic53C2411yescharacteristic
848C22×Dic53C2411yescharacteristic
849C22×Dic53C2411yescharacteristic
850C22×Dic53C2411yescharacteristic
851C22×Dic53C2411yescharacteristic
852C22×Dic53C2412yes—
853C22×Dic53C2411yescharacteristic
854C22×Dic53C2411yescharacteristic
855C22×Dic53C2411yescharacteristic
856C22×Dic53C2411yescharacteristic
857C22×Dic53C2411yescharacteristic
858C22×Dic53C2411yescharacteristic
859C22×Dic53C2411yescharacteristic
860C22×Dic53C2412yes—
861C22×Dic53C2412yes—
862C22×Dic53C2412yes—
863C22×Dic53C2412yes—
864C22×Dic53C2414yes—
865Q8×D53—48no—
866#11719947—44no—
867#11719947—48no—
868#11719947—44no—
869#11719945—24no—
870#11719945—48no—
871#11719945—48no—
872C2×D212—24no—
873C2×D212C2412yes—
874C2×D212C2412yes—
875C2×D212C2411yescharacteristic
876C2×D212C2414yes—
877C2×D212C2414yes—
878C2×C4×D53—44no—
879C2×C4×D53C2412yes—
880C2×C4×D53C2414yes—
881C2×C4×D53C2412yes—
882C2×C4×D53C2412yes—
883C2×C4×D53C2414yes—
884C2×C4×D53C2414yes—
885C2×C4×D53C2414yes—
886C2×C4×D53C2414yes—
887C2×C4×D53C2414yes—
888C2×C4×D53C2414yes—
889C2×C4×D53C2414yes—
890C2×Dic106—44no—
891C2×Dic106—44no—
892C2×Dic106C2411yescharacteristic
893C2×Dic106C2412yes—
894C2×Dic106C2412yes—
895C2×Dic106C2412yes—
896C2×Dic106C2414yes—
897C2×Dic106C2412yes—
898C2×Dic106C2414yes—
899C2×Dic106C2412yes—
900C2×Dic106C2412yes—
901C2×Dic106C2414yes—
902C2×Dic106C2412yes—
903C2×Dic106C2412yes—
904C2×Dic106C2412yes—
905C2×Dic106C2412yes—
906C4⋊C4×C53C2411yescharacteristic
907C4⋊C4×C53C2412yes—
908C4⋊C4×C53C2411yescharacteristic
909C4⋊C4×C53C2411yescharacteristic
910C4⋊C4×C53C2412yes—
911C4⋊C4×C53C2411yescharacteristic
912C4⋊C4×C53C2412yes—
913C4⋊C4×C53C2414yes—
914C4⋊C4×C53C2412yes—
915C4⋊C4×C53C2414yes—
916C4⋊C4×C53C2414yes—
917C4⋊C4×C53C2411yescharacteristic
918C4⋊C4×C53C2411yescharacteristic
919C4⋊C4×C53C2414yes—
920C4⋊C4×C53C2414yes—
921C4⋊C4×C53C2414yes—
922C4⋊C4×C53C2414yes—
923C4⋊C4×C53C2414yes—
924C4⋊C4×C53C2412yes—
925C4⋊C4×C53C2412yes—
926C4⋊C4×C53C2414yes—
927C4⋊C4×C53C2414yes—
928C22⋊C4×C53C2412yes—
929C22⋊C4×C53C2412yes—
930C22⋊C4×C53C2412yes—
931C22⋊C4×C53C2412yes—
932C22⋊C4×C53C2414yes—
933C22⋊C4×C53C2414yes—
934C22⋊C4×C53C2412yes—
935C22⋊C4×C53C2412yes—
936C22⋊C4×C53C2412yes—
937C22⋊C4×C53C2414yes—
938C22⋊C4×C53C2414yes—
939C22⋊C4×C53C2412yes—
940C22⋊C4×C53C2412yes—
941C22⋊C4×C53C2414yes—
942C42×C53C2412yes—
943C42×C53C2412yes—
944C42×C53C2412yes—
945C42×C53C2412yes—
946C42×C53C2414yes—
947C42×C53C2414yes—
948C42×C53C2414yes—
949C42×C53C2412yes—
950C22⋊Dic53C2412yes—
951C22⋊Dic53C2412yes—
952C22⋊Dic53C2412yes—
953C22⋊Dic53C2412yes—
954C22⋊Dic53C2412yes—
955C22⋊Dic53C2412yes—
956C22⋊Dic53C2412yes—
957C22⋊Dic53C2412yes—
958C22⋊Dic53C2412yes—
959C22⋊Dic53C2414yes—
960C22⋊Dic53C2412yes—
961C22⋊Dic53C2412yes—
962#11719921C2414yes—
963#11719921C2414yes—
964#11719921C2414yes—
965#11719921C2414yes—
966#11719921C2414yes—
967#11719921C2414yes—
968#11719921C2414yes—
969#11719921C2414yes—
970#11719921C2414yes—
971#11719921C2414yes—
972#11719921C2414yes—
973#11719921C2414yes—
974#11719921C2414yes—
975#11719921C2414yes—
976#11719921C2412yes—
977#11719921C2412yes—
978#11719921C2414yes—
979#11719921C2412yes—
980#11719921C2412yes—
981#11719921C2412yes—
982#11719921C2412yes—
983#11719921C2414yes—
984#11719921C2414yes—
985#11719921C2414yes—
986#11719921C2414yes—
987#11719921C2414yes—
988C4⋊Dic53C2412yes—
989C4⋊Dic53C2412yes—
990C4⋊Dic53C2411yescharacteristic
991C4⋊Dic53C2412yes—
992C4⋊Dic53C2414yes—
993C4⋊Dic53C2412yes—
994C4⋊Dic53C2414yes—
995C4⋊Dic53C2411yescharacteristic
996C4⋊Dic53C2412yes—
997C4⋊Dic53C2411yescharacteristic
998C4⋊Dic53C2412yes—
999C4⋊Dic53C2414yes—
1000C4⋊Dic53C2411yescharacteristic
1001C4⋊Dic53C2412yes—
1002C4⋊Dic53C2412yes—
1003C4⋊Dic53C2412yes—
1004C4⋊Dic53C2414yes—
1005C4⋊Dic53C2412yes—
1006C4⋊Dic53C2412yes—
1007C4⋊Dic53C2414yes—
1008C4⋊Dic53C2412yes—
1009C4⋊Dic53C2412yes—
1010C4⋊Dic53C2414yes—
1011C4⋊Dic53C2414yes—
1012C4⋊Dic53C2412yes—
1013C4⋊Dic53C2414yes—
1014C4⋊Dic53C2411yescharacteristic
1015C4⋊Dic53C2411yescharacteristic
1016C4⋊Dic53C2412yes—
1017C4⋊Dic53C2412yes—
1018C4⋊Dic53C2414yes—
1019C4⋊Dic53C2414yes—
1020#11719919C2412yes—
1021#11719919C2412yes—
1022#11719919C2412yes—
1023#11719919C2412yes—
1024#11719919C2412yes—
1025#11719919C2414yes—
1026#11719919C2414yes—
1027#11719919C2414yes—
1028#11719919C2414yes—
1029#11719919C2414yes—
1030#11719919C2414yes—
1031#11719919C2414yes—
1032#11719919C2412yes—
1033#11719919C2412yes—
1034#11719919C2412yes—
1035#11719919C2412yes—
1036#11719919C2414yes—
1037#11719919C2412yes—
1038#11719919C2414yes—
1039#11719919C2412yes—
1040#11719919C2412yes—
1041#11719919C2412yes—
1042#11719919C2412yes—
1043#11719919C2412yes—
1044#11719919C2412yes—
1045#11719919C2412yes—
1046#11719919C2412yes—
1047#11719919C2414yes—
1048#11719919C2412yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056#11719919C2414yes—
1057#11719919C2414yes—
1058C4×Dic53C2411yescharacteristic
1059C4×Dic53C2412yes—
1060C4×Dic53C2412yes—
1061C4×Dic53C2411yescharacteristic
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×Dic53C2414yes—
1077C4×Dic53C2412yes—
1078C4×Dic53C2412yes—
1079C4×Dic53C2412yes—
1080C4×Dic53C2412yes—
1081C4×Dic53C2414yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2412yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2414yes—
1090C23×C53—22no—
1091C23×C53—22no—
1092C23×C53—41no—
1093C23×C53C2512yes—
1094C23×C53C2511yescharacteristic
1095C23×C53C2511yescharacteristic
1096C23×C53C2511yescharacteristic
1097C22×D53—24no—
1098C22×D53—42no—
1099C22×D53—42no—
1100C22×D53C2512yes—
1101C22×D53C2514yes—
1102Q8×C53—24no—
1103Q8×C53—24no—
1104Q8×C53—22no—
1105Q8×C53—44no—
1106D4×C53—24no—
1107D4×C53—24no—
1108D4×C53—22no—
1109D4×C53—42no—
1110C2×C4×C53—22no—
1111C2×C4×C53—24no—
1112C2×C4×C53—24no—
1113C2×C4×C53—22no—
1114C2×C4×C53—22no—
1115C2×C4×C53—22no—
1116C2×C4×C53—22no—
1117C2×C4×C53—24no—
1118C2×C4×C53—42no—
1119C2×C4×C53—42no—
1120C2×C4×C53—44no—
1121C2×C4×C532−1+414yes—
1122C2×C4×C53C2512yes—
1123C2×C4×C53C2512yes—
1124C2×C4×C53C2512yes—
1125C2×C4×C53C2512yes—
1126C2×C4×C53C2512yes—
1127C2×C4×C53C2514yes—
1128C2×C4×C53C2512yes—
1129C2×C4×C53C2511yescharacteristic
1130C2×C4×C53C2511yescharacteristic
1131C2×C4×C53C2512yes—
1132C2×C4×C53C2514yes—
1133C2×C4×C53C2511yescharacteristic
1134C2×C4×C53C2511yescharacteristic
1135C22⋊D53—24no—
1136C22⋊D53—24no—
1137C22⋊D53—28no—
1138C22⋊D53—24no—
1139C22⋊D53—44no—
1140C22⋊D53—42no—
1141C22⋊D53—44no—
1142C22⋊D53—42no—
1143C22⋊D53—44no—
1144C2×Dic53—22no—
1145C2×Dic53—24no—
1146C2×Dic53—22no—
1147C2×Dic53—22no—
1148C2×Dic53—22no—
1149C2×Dic53—22no—
1150C2×Dic53—42no—
1151C2×Dic53—42no—
1152C2×Dic53—42no—
1153C2×Dic53—44no—
1154C2×Dic53—41no—
1155C2×Dic53—41no—
1156C2×Dic53—41no—
1157C2×Dic53—41no—
1158C2×Dic53—41no—
1159C2×Dic53—41no—
1160C2×Dic53—41no—
1161C2×Dic53—42no—
1162C2×Dic53C2512yes—
1163C2×Dic53C2511yescharacteristic
1164C2×Dic53C2511yescharacteristic
1165C2×Dic53C2511yescharacteristic
1166C2×Dic53C2512yes—
1167C2×Dic53C2512yes—
1168C2×Dic53C2512yes—
1169C2×Dic53C2512yes—
1170C2×Dic53C2512yes—
1171C2×Dic53C2514yes—
1172C2×Dic53C2511yescharacteristic
1173C2×Dic53C2512yes—
1174C2×Dic53C2511yescharacteristic
1175C2×Dic53C2511yescharacteristic
1176C2×Dic53C2511yescharacteristic
1177C2×Dic53C2511yescharacteristic
1178D212—24no—
1179D212—24no—
1180D212—22no—
1181D212—44no—
1182D212—44no—
1183C4×D53—24no—
1184C4×D53—28no—
1185C4×D53—44no—
1186C4×D53—44no—
1187C4×D53—44no—
1188C4×D53—44no—
1189C4×D53—44no—
1190C4×D53—42no—
1191C4×D53—42no—
1192C4×D53—44no—
1193C4×D53—44no—
1194Dic106—22no—
1195Dic106—24no—
1196Dic106—24no—
1197Dic106—24no—
1198Dic106—42no—
1199Dic106—42no—
1200Dic106—42no—
1201Dic106—42no—
1202Dic106—42no—
1203Dic106—42no—
1204Dic106—44no—
1205Dic106—44no—
1206Dic106—42no—
1207Dic106—44no—
1208#62831—531nomaximal, Sylow
1209C22×C53—21no—
1210C22×C53—21no—
1211C22×C53—21no—
1212C22×C53—21no—
1213C22×C53—21no—
1214C22×C53—22no—
1215C22×C53—21no—
1216C22×C53—22no—
1217C22×C53—21no—
1218C22×C53—22no—
1219C22×C53—44no—
1220C22×C53C2×2−1+412yes—
1221C22×C53#58512yes—
1222C22×C53C2611yescharacteristic
1223C2×D53—22no—
1224C2×D53—24no—
1225C2×D53—24no—
1226C2×D53—22no—
1227C2×D53—22no—
1228C2×D53—24no—
1229C2×D53—84no—
1230C4×C53—21no—
1231C4×C53—21no—
1232C4×C53—22no—
1233C4×C53—24no—
1234C4×C53—22no—
1235C4×C53—22no—
1236C4×C53—22no—
1237C4×C53—22no—
1238C4×C53—22no—
1239C4×C53—22no—
1240C4×C53—24no—
1241C4×C53C2×2−1+412yes—
1242C4×C53C2×2−1+412yes—
1243Dic53—22no—
1244Dic53—22no—
1245Dic53—22no—
1246Dic53—22no—
1247Dic53—21no—
1248Dic53—21no—
1249Dic53—21no—
1250Dic53—22no—
1251Dic53—22no—
1252Dic53—22no—
1253Dic53—24no—
1254Dic53—21no—
1255Dic53—21no—
1256Dic53—21no—
1257Dic53—21no—
1258Dic53#58512yes—
1259#3565—532no—
1260#3565—532no—
1261#3564—534no—
1262#3557—532no—
1263#3557—532no—
1264#3555—532no—
1265#3554—532no—
1266#3552—532no—
1267#3544—532no—
1268#3535—534no—
1269#3523—532no—
1270#3522—532no—
1271#3520—534no—
1272#3518—532no—
1273#3515—532no—
1274#3515—532no—
1275#3515—532no—
1276#3510—531no—
1277#3510—531no—
1278#3507—531no—
1279#3507—532no—
1280#3507—532no—
1281#3506—531no—
1282#3504—531no—
1283#3504—531no—
1284#3502—531no—
1285#3501—531no—
1286#3495—534no—
1287#3495—531no—
1288#3495D5311yescharacteristic, complemented
1289#3494—531no—
1290#3494—531no—
1291#3444—531no—
1292C2×#533—531no—
1293C2×#529—531no—
1294C2×C53—22no—
1295C2×C53—22no—
1296C2×C53—42no—
1297C2×C53—41no—
1298C2×C53C22×2−1+411yescharacteristic
1299C2×C53C2×#58511yescharacteristic
1300C2×C53C2×#58511yescharacteristic
1301D53—42no—
1302D53—44no—
1303#563—534no—
1304#563—534no—
1305#563—534no—
1306#563—534no—
1307#563—534no—
1308#563—534no—
1309#562—534no—
1310#562—534no—
1311#559—532no—
1312#559—532no—
1313#559—532no—
1314#559—532no—
1315#559—532no—
1316#559—532no—
1317#559—532no—
1318Q82—532no—
1319Q82—532no—
1320#557—532no—
1321#557—532no—
1322#557—532no—
1323#557—532no—
1324#557—532no—
1325#557—532no—
1326#557—532no—
1327#557—532no—
1328#557—532no—
1329#557—532no—
1330#557—532no—
1331#556—532no—
1332#556—532no—
1333#556—532no—
1334#556—534no—
1335#556—534no—
1336#556—532no—
1337#556—532no—
1338#556—532no—
1339#556—532no—
1340#556—532no—
1341#556—532no—
1342#556—534no—
1343#556—534no—
1344#556—534no—
1345#556C2×D5312yescomplemented
1346#555—532no—
1347#555—532no—
1348#555—532no—
1349#554—532no—
1350#554—532no—
1351#554—532no—
1352#554—532no—
1353#554—532no—
1354#554—532no—
1355#554—532no—
1356#554—532no—
1357#554—534no—
1358#554—534no—
1359#554—532no—
1360#554—532no—
1361#554—534no—
1362#554—532no—
1363#554—534no—
1364#554—532no—
1365#554C2×D5312yescomplemented
1366#553—532no—
1367#553—532no—
1368#553—532no—
1369#553—532no—
1370#553—532no—
1371#553—532no—
1372#552—534no—
1373#552—534no—
1374#552—534no—
1375#552—534no—
1376#552—534no—
1377#552—534no—
1378#552—534no—
1379#552—532no—
1380#552—532no—
1381#552—532no—
1382#552—534no—
1383#552—532no—
1384#552—534no—
1385#552—534no—
1386#552—534no—
1387#552—534no—
1388#552—534no—
1389#552C2×D5314yes—
1390#552C2×D5312yescomplemented
1391#552C2×D5312yescomplemented
1392#551—534no—
1393#551—534no—
1394#551—534no—
1395#551—534no—
1396#551—534no—
1397#551—534no—
1398#551—534no—
1399#551C2×D5314yes—
1400#550—532no—
1401D4×Q8—532no—
1402D4×Q8—532no—
1403D4×Q8—534no—
1404#548—534no—
1405#548—534no—
1406#547—534no—
1407#547—534no—
1408#547—534no—
1409#547—532no—
1410#547—534no—
1411#547—532no—
1412#547—532no—
1413#546—534no—
1414#546—534no—
1415#544—532no—
1416#544—534no—
1417#544—532no—
1418#544—531no—
1419#544—531no—
1420#544—534no—
1421#544—532no—
1422#544—531no—
1423#544—532no—
1424#544C2×D5311yescharacteristic
1425#543—534no—
1426#542—534no—
1427#542—534no—
1428#542—534no—
1429#542—534no—
1430#542—534no—
1431#542—534no—
1432#542—534no—
1433#542—532no—
1434#542—532no—
1435#542—532no—
1436#542—532no—
1437#542—532no—
1438#542—532no—
1439#542—532no—
1440#542—534no—
1441#542C2×D5312yescomplemented
1442#541—534no—
1443#541—534no—
1444#541—534no—
1445#541—534no—
1446#541—534no—
1447#541—532no—
1448#541—534no—
1449#541C2×D5312yescomplemented
1450#540—532no—
1451#540—532no—
1452#539—534no—
1453#539—534no—
1454#539—534no—
1455#539—534no—
1456#539—534no—
1457#539—534no—
1458#539—534no—
1459#539—534no—
1460#539—534no—
1461#539—534no—
1462#539—534no—
1463#538—534no—
1464#536—531no—
1465#536—534no—
1466#536—534no—
1467#536—534no—
1468#536C2×D5311yescharacteristic
1469#535—531no—
1470#535—531no—
1471#533—532no—
1472#533—531no—
1473#533—531no—
1474#533—532no—
1475#533—532no—
1476#533—531no—
1477#533—531no—
1478#533—531no—
1479#533—531no—
1480#533—532no—
1481#533—531no—
1482#533—531no—
1483#533—532no—
1484#533—532no—
1485#533—531no—
1486#533—531no—
1487#533—531no—
1488#533—534no—
1489#533—532no—
1490#533C2×D5312yescomplemented
1491#532—531no—
1492#532—531no—
1493#532—531no—
1494#532—532no—
1495#532—532no—
1496C2×C4⋊Q8—531no—
1497C2×C4⋊Q8—531no—
1498#529—532no—
1499#529—532no—
1500#529—534no—
1501#529—532no—
1502#529—532no—
1503#529—532no—
1504#529—532no—
1505#529—532no—
1506#529—532no—
1507#529—532no—
1508#529—532no—
1509#529—531no—
1510#529—531no—
1511#529—532no—
1512#529—532no—
1513#529—532no—
1514#529—532no—
1515#529—531no—
1516#529—531no—
1517#529—532no—
1518#529—532no—
1519#529—532no—
1520#529—532no—
1521#529—532no—
1522#529C2×D5312yescomplemented
1523C2×#126—532no—
1524C2×#125—532no—
1525C2×#125—531no—
1526C2×#125—531no—
1527C2×#125—531no—
1528C2×#125—532no—
1529C2×#124—531no—
1530#525—531no—
1531#525—532no—
1532#525—532no—
1533#525—534no—
1534#525C2×D5311yescharacteristic
1535C2×#123—532no—
1536C2×C22⋊Q8—534no—
1537C2×C22⋊Q8—532no—
1538C2×C22⋊Q8—532no—
1539C2×C22⋊Q8C2×D5311yescharacteristic
1540C2×#121—531no—
1541#520—531no—
1542#520—534no—
1543#520—531no—
1544#520—534no—
1545#520—534no—
1546#520—531no—
1547#520C2×D5311yescharacteristic
1548#519—531no—
1549#519—534no—
1550#519C2×D5311yescharacteristic
1551#518—531no—
1552#518—531no—
1553C4×#41—531no—
1554C4×#41—532no—
1555C4×#41—532no—
1556C4×#41—531no—
1557C2×C4×Q8—531no—
1558C2×C4×Q8—532no—
1559C2×C4×Q8—532no—
1560C2×C4×D4—531no—
1561C2×C4×D4—532no—
1562C2×#117—531no—
1563C2×#117—532no—
1564C2×#117C2×D5311yescharacteristic
1565C22×C42—531no—
1566C53#6283111yescharacteristic, complemented, Sylow
1567C2×#41—532no—
1568C2×#41—532no—
1569C2×#41—534no—
1570C2×#41—531no—
1571C2×#41—534no—
1572C2×#41—534no—
1573C2×#41C22×D5311yescharacteristic
1574C22×Q8—534no—
1575C22×Q8—532no—
1576C22×Q8—532no—
1577C22×Q8C22×D5311yescharacteristic
1578C22×D4—532no—
1579C22×D4—531no—
1580C23×C4—531no—
1581C23×C4—531no—
1582C23×C4—532no—
1583C23×C4C22×D5311yescharacteristic
1584C4⋊Q8—531no—
1585C4⋊Q8—532no—
1586C4⋊Q8—534no—
1587C4⋊Q8—532no—
1588C4⋊Q8—531no—
1589C4⋊Q8—531no—
1590C4⋊Q8—532no—
1591C4⋊Q8—531no—
1592C4⋊Q8—531no—
1593C4⋊Q8—531no—
1594C4⋊Q8—531no—
1595C4⋊Q8—531no—
1596C4⋊Q8—531no—
1597C4⋊Q8—532no—
1598C4⋊Q8—532no—
1599C4⋊Q8—531no—
1600C4⋊Q8—531no—
1601C4⋊Q8—532no—
1602C4⋊Q8—534no—
1603C4⋊Q8—534no—
1604C4⋊Q8—532no—
1605C4⋊Q8—532no—
1606C4⋊Q8—532no—
1607C4⋊Q8—534no—
1608C4⋊Q8—534no—
1609C4⋊Q8—534no—
1610C4⋊Q8—534no—
1611C4⋊Q8—532no—
1612C4⋊Q8—532no—
1613C4⋊Q8—534no—
1614C4⋊Q8—534no—
1615C4⋊Q8—534no—
1616C4⋊Q8C22×D5312yes—
1617C4⋊Q8C22×D5312yes—
1618C4⋊Q8C22×D5312yes—
1619#127—531no—
1620#127—532no—
1621#127—532no—
1622#126—534no—
1623#126—534no—
1624#126—534no—
1625#126—534no—
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—534no—
1635#126—534no—
1636#126—534no—
1637#126—534no—
1638#126—534no—
1639#126—534no—
1640#126—534no—
1641#126—534no—
1642#126—532no—
1643#126—532no—
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#126C22×D5314yes—
1653#126C22×D5314yes—
1654#126C22×D5314yes—
1655#126C22×D5314yes—
1656#125—531no—
1657#125—531no—
1658#125—532no—
1659#125—531no—
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—531no—
1669#125—531no—
1670#125—531no—
1671#125—531no—
1672#125—534no—
1673#125—534no—
1674#125—534no—
1675#125—534no—
1676#125—532no—
1677#125—532no—
1678#125—532no—
1679#125—532no—
1680#125—531no—
1681#125—531no—
1682#125—532no—
1683#125—534no—
1684#125—532no—
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—532no—
1698#125—532no—
1699#125—534no—
1700#125—534no—
1701#125—534no—
1702#125C22×D5312yes—
1703#125C22×D5312yes—
1704#125C22×D5314yes—
1705#125C22×D5314yes—
1706#125C22×D5314yes—
1707#124—532no—
1708#124—532no—
1709#124—532no—
1710#124—532no—
1711#124—531no—
1712#124—532no—
1713#124—532no—
1714#124—531no—
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—532no—
1726#124—534no—
1727#124—534no—
1728#124—534no—
1729#124—534no—
1730#124C22×D5312yes—
1731#124C22×D5314yes—
1732#123—532no—
1733#123—532no—
1734#123—532no—
1735#123—534no—
1736#123—534no—
1737#123—534no—
1738#123—534no—
1739#123—534no—
1740#123—534no—
1741#123—534no—
1742#123—534no—
1743#123—534no—
1744#123—534no—
1745#123—534no—
1746#123—534no—
1747#123—534no—
1748#123—534no—
1749#123—534no—
1750#123—532no—
1751#123—532no—
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#123—534no—
1761#123—534no—
1762#123—534no—
1763#123—534no—
1764#123—534no—
1765#123—534no—
1766#123C22×D5312yes—
1767#123C22×D5314yes—
1768#123C22×D5314yes—
1769#123C22×D5314yes—
1770C22⋊Q8—534no—
1771C22⋊Q8—532no—
1772C22⋊Q8—532no—
1773C22⋊Q8—534no—
1774C22⋊Q8—534no—
1775C22⋊Q8—534no—
1776C22⋊Q8—534no—
1777C22⋊Q8—534no—
1778C22⋊Q8—531no—
1779C22⋊Q8—531no—
1780C22⋊Q8—534no—
1781C22⋊Q8—534no—
1782C22⋊Q8—534no—
1783C22⋊Q8—534no—
1784C22⋊Q8—534no—
1785C22⋊Q8—534no—
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—534no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—532no—
1807C22⋊Q8—532no—
1808C22⋊Q8—532no—
1809C22⋊Q8—532no—
1810C22⋊Q8—532no—
1811C22⋊Q8—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—532no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—532no—
1819C22⋊Q8—532no—
1820C22⋊Q8—532no—
1821C22⋊Q8—532no—
1822C22⋊Q8—532no—
1823C22⋊Q8—532no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8C22×D5314yes—
1833C22⋊Q8C22×D5312yes—
1834C22⋊Q8C22×D5312yes—
1835C22⋊Q8C22×D5312yes—
1836C22⋊Q8C22×D5312yes—
1837C22⋊Q8C22×D5311yescharacteristic
1838C22⋊Q8C22×D5311yescharacteristic
1839C22⋊Q8C22×D5312yes—
1840C22⋊Q8C22×D5312yes—
1841C22⋊Q8C22×D5314yes—
1842C22⋊Q8C22×D5314yes—
1843#121—532no—
1844#121—532no—
1845#121—532no—
1846#121—532no—
1847#121—534no—
1848#121—534no—
1849#121—534no—
1850#121—532no—
1851#121—532no—
1852#121—532no—
1853#121—532no—
1854#121—531no—
1855#121—531no—
1856#121—532no—
1857#121—532no—
1858#121—534no—
1859#121—534no—
1860#121—532no—
1861#121—532no—
1862#121—534no—
1863#121—534no—
1864#121—534no—
1865#121—534no—
1866#121C22×D5311yescharacteristic
1867#121C22×D5311yescharacteristic
1868#120—532no—
1869#120—534no—
1870#120—534no—
1871#120C22×D5312yes—
1872C4×Q8—532no—
1873C4×Q8—532no—
1874C4×Q8—532no—
1875C4×Q8—532no—
1876C4×Q8—531no—
1877C4×Q8—531no—
1878C4×Q8—532no—
1879C4×Q8—532no—
1880C4×Q8—532no—
1881C4×Q8—534no—
1882C4×Q8—532no—
1883C4×Q8—532no—
1884C4×Q8—532no—
1885C4×Q8—532no—
1886C4×Q8—531no—
1887C4×Q8—531no—
1888C4×Q8—534no—
1889C4×Q8—534no—
1890C4×Q8—534no—
1891C4×Q8—532no—
1892C4×Q8—532no—
1893C4×Q8—532no—
1894C4×Q8—532no—
1895C4×Q8—532no—
1896C4×Q8—532no—
1897C4×Q8—532no—
1898C4×Q8—532no—
1899C4×Q8—532no—
1900C4×Q8—532no—
1901C4×Q8—532no—
1902C4×Q8—532no—
1903C4×Q8—532no—
1904C4×Q8—532no—
1905C4×Q8—532no—
1906C4×Q8—532no—
1907C4×Q8—532no—
1908C4×Q8—532no—
1909C4×Q8—532no—
1910C4×Q8—534no—
1911C4×Q8—534no—
1912C4×Q8—532no—
1913C4×Q8—534no—
1914C4×Q8—534no—
1915C4×Q8—534no—
1916C4×Q8—534no—
1917C4×Q8C22×D5314yes—
1918C4×Q8C22×D5312yes—
1919C4×Q8C22×D5312yes—
1920C4×Q8C22×D5312yes—
1921C4×Q8C22×D5312yes—
1922C4×Q8C22×D5312yes—
1923C4×D4—532no—
1924C4×D4—532no—
1925C4×D4—532no—
1926C4×D4—532no—
1927C4×D4—531no—
1928C4×D4—531no—
1929C4×D4—534no—
1930C4×D4—532no—
1931C4×D4—532no—
1932C4×D4—532no—
1933C4×D4—532no—
1934C4×D4—532no—
1935C4×D4—534no—
1936C4×D4—534no—
1937C4×D4—534no—
1938C4×D4—532no—
1939C4×D4—532no—
1940C4×D4—532no—
1941C4×D4—532no—
1942C4×D4—531no—
1943C4×D4—531no—
1944C4×D4—532no—
1945C4×D4—532no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—532no—
1949C4×D4—534no—
1950C4×D4—534no—
1951C4×D4—534no—
1952C4×D4—534no—
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—534no—
1963C4×D4—534no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—532no—
1967C4×D4—532no—
1968C4×D4—532no—
1969C4×D4—532no—
1970C4×D4—534no—
1971C4×D4—534no—
1972C4×D4—534no—
1973C4×D4—532no—
1974C4×D4—534no—
1975C4×D4C22×D5312yes—
1976C4×D4C22×D5312yes—
1977C4×D4C22×D5314yes—
1978C4×D4C22×D5314yes—
1979C4×D4C22×D5312yes—
1980#117—531no—
1981#117—531no—
1982#117—532no—
1983#117—532no—
1984#117—531no—
1985#117—531no—
1986#117—531no—
1987#117—532no—
1988#117—534no—
1989#117—532no—
1990#117—534no—
1991#117—534no—
1992#117—534no—
1993#117—534no—
1994#117—532no—
1995#117—532no—
1996#117—534no—
1997#117—534no—
1998#117—534no—
1999#117—534no—
2000#117—534no—
2001#117—532no—
2002#117—532no—
2003#117—532no—
2004#117—532no—
2005#117—532no—
2006#117—532no—
2007#117—534no—
2008#117—534no—
2009#117—532no—
2010#117—534no—
2011#117—534no—
2012#117—534no—
2013#117—534no—
2014#117C22×D5311yescharacteristic
2015#117C22×D5311yescharacteristic
2016#117C22×D5312yes—
2017#117C22×D5312yes—
2018#117C22×D5311yescharacteristic
2019#117C22×D5311yescharacteristic
2020#117C22×D5311yescharacteristic
2021#117C22×D5314yes—
2022#117C22×D5314yes—
2023#117C22×D5314yes—
2024#117C22×D5312yes—
2025C2×C4⋊C4—532no—
2026C2×C4⋊C4—531no—
2027C2×C4⋊C4—531no—
2028C2×C4⋊C4—532no—
2029C2×C4⋊C4—531no—
2030C2×C4⋊C4—532no—
2031C2×C4⋊C4—532no—
2032C2×C4⋊C4—532no—
2033C2×C4⋊C4—532no—
2034C2×C4⋊C4—532no—
2035C2×C4⋊C4—532no—
2036C2×C4⋊C4—532no—
2037C2×C4⋊C4—534no—
2038C2×C4⋊C4—534no—
2039C2×C4⋊C4—532no—
2040C2×C4⋊C4—534no—
2041C2×C4⋊C4—534no—
2042C2×C4⋊C4—534no—
2043C2×C4⋊C4—534no—
2044C2×C4⋊C4—534no—
2045C2×C4⋊C4—532no—
2046C2×C4⋊C4—532no—
2047C2×C4⋊C4C22×D5312yes—
2048C2×C4⋊C4C22×D5311yescharacteristic
2049C2×C4⋊C4C22×D5311yescharacteristic
2050C2×C4⋊C4C22×D5311yescharacteristic
2051C2×C4⋊C4C22×D5312yes—
2052C2×C22⋊C4—532no—
2053C2×C22⋊C4—532no—
2054C2×C22⋊C4—532no—
2055C2×C22⋊C4—532no—
2056C2×C22⋊C4—532no—
2057C2×C22⋊C4—534no—
2058C2×C22⋊C4—534no—
2059C2×C22⋊C4C22×D5312yes—
2060C2×C22⋊C4C22×D5312yes—
2061C2×C42—531no—
2062C2×C42—532no—
2063C2×C42—532no—
2064C2×C42—531no—
2065C2×C42—531no—
2066C2×C42—531no—
2067C2×C42—532no—
2068C2×C42—531no—
2069C2×C42—531no—
2070C2×C42—531no—
2071C2×C42—531no—
2072C2×C42—531no—
2073C2×C42—531no—
2074C2×C42—531no—
2075C2×C42—531no—
2076C2×C42—532no—
2077C2×C42C22×D5312yes—
2078C24—532no—
2079C24C23×D5311yescharacteristic
2080#41—24no—
2081#41—1064no—
2082#41—2128no—
2083#41—2128no—
2084#41—2124no—
2085#41—2128no—
2086#41—2124no—
2087C2×Q8—24no—
2088C2×Q8—531no—
2089C2×Q8—532no—
2090C2×Q8—532no—
2091C2×Q8—532no—
2092C2×Q8—532no—
2093C2×Q8—534no—
2094C2×Q8—532no—
2095C2×Q8—532no—
2096C2×Q8—532no—
2097C2×Q8—532no—
2098C2×Q8—532no—
2099C2×Q8—534no—
2100C2×Q8—534no—
2101C2×Q8—532no—
2102C2×Q8—2124no—
2103C2×Q8—2124no—
2104C2×Q8—2128no—
2105C2×Q8C23×D5312yes—
2106C2×Q8C23×D5312yes—
2107C2×Q8C23×D5311yescharacteristic
2108C2×Q8C23×D5314yes—
2109C2×D4—532no—
2110C2×D4—532no—
2111C2×D4—534no—
2112C2×D4—532no—
2113C2×D4—532no—
2114C2×D4—534no—
2115C2×D4—534no—
2116C2×D4—534no—
2117C2×D4—532no—
2118C2×D4—532no—
2119C2×D4—532no—
2120C2×D4—531no—
2121C2×D4—534no—
2122C2×D4—534no—
2123C2×D4—1064no—
2124C2×D4—2124no—
2125C2×D4C23×D5312yes—
2126C2×D4C23×D5311yescharacteristic
2127C2×D4C23×D5312yes—
2128C2×D4C23×D5312yes—
2129C22×C4—24no—
2130C22×C4—531no—
2131C22×C4—531no—
2132C22×C4—531no—
2133C22×C4—531no—
2134C22×C4—531no—
2135C22×C4—532no—
2136C22×C4—531no—
2137C22×C4—531no—
2138C22×C4—531no—
2139C22×C4—531no—
2140C22×C4—531no—
2141C22×C4—531no—
2142C22×C4—531no—
2143C22×C4—532no—
2144C22×C4—532no—
2145C22×C4—532no—
2146C22×C4—532no—
2147C22×C4—534no—
2148C22×C4—532no—
2149C22×C4—534no—
2150C22×C4—532no—
2151C22×C4—532no—
2152C22×C4—534no—
2153C22×C4—534no—
2154C22×C4—534no—
2155C22×C4—534no—
2156C22×C4—534no—
2157C22×C4—534no—
2158C22×C4—534no—
2159C22×C4—2124no—
2160C22×C4—2122no—
2161C22×C4—2122no—
2162C22×C4C23×D5311yescharacteristic
2163C22×C4C23×D5311yescharacteristic
2164C22×C4C23×D5311yescharacteristic
2165C22×C4C23×D5311yescharacteristic
2166C22×C4C23×D5311yescharacteristic
2167C22×C4C23×D5312yes—
2168C22×C4C23×D5312yes—
2169C22×C4C23×D5312yes—
2170C22×C4C23×D5312yes—
2171C22×C4C23×D5312yes—
2172C22×C4C23×D5314yes—
2173C22×C4C23×D5311yescharacteristic
2174C4⋊C4—531no—
2175C4⋊C4—531no—
2176C4⋊C4—532no—
2177C4⋊C4—532no—
2178C4⋊C4—532no—
2179C4⋊C4—532no—
2180C4⋊C4—534no—
2181C4⋊C4—532no—
2182C4⋊C4—532no—
2183C4⋊C4—534no—
2184C4⋊C4—532no—
2185C4⋊C4—532no—
2186C4⋊C4—532no—
2187C4⋊C4—532no—
2188C4⋊C4—532no—
2189C4⋊C4—534no—
2190C4⋊C4—534no—
2191C4⋊C4—531no—
2192C4⋊C4—531no—
2193C4⋊C4—532no—
2194C4⋊C4—532no—
2195C4⋊C4—532no—
2196C4⋊C4—534no—
2197C4⋊C4—532no—
2198C4⋊C4—532no—
2199C4⋊C4—532no—
2200C4⋊C4—532no—
2201C4⋊C4—532no—
2202C4⋊C4—532no—
2203C4⋊C4—532no—
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—532no—
2214C4⋊C4—532no—
2215C4⋊C4—532no—
2216C4⋊C4—532no—
2217C4⋊C4—532no—
2218C4⋊C4—532no—
2219C4⋊C4—532no—
2220C4⋊C4—532no—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—534no—
2224C4⋊C4—534no—
2225C4⋊C4—532no—
2226C4⋊C4—532no—
2227C4⋊C4—534no—
2228C4⋊C4—531no—
2229C4⋊C4—531no—
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—534no—
2240C4⋊C4—534no—
2241C4⋊C4—534no—
2242C4⋊C4—534no—
2243C4⋊C4—534no—
2244C4⋊C4C23×D5311yescharacteristic
2245C4⋊C4C23×D5314yes—
2246C4⋊C4C23×D5314yes—
2247C4⋊C4C23×D5312yes—
2248C4⋊C4C23×D5314yes—
2249C4⋊C4C23×D5311yescharacteristic
2250C4⋊C4C23×D5314yes—
2251C4⋊C4C23×D5311yescharacteristic
2252C4⋊C4C23×D5314yes—
2253C4⋊C4C23×D5311yescharacteristic
2254C4⋊C4C23×D5312yes—
2255C4⋊C4C23×D5312yes—
2256C4⋊C4C23×D5312yes—
2257C4⋊C4C23×D5314yes—
2258C4⋊C4C23×D5312yes—
2259C4⋊C4C23×D5314yes—
2260C4⋊C4C23×D5312yes—
2261C4⋊C4C23×D5314yes—
2262C4⋊C4C23×D5311yescharacteristic
2263C4⋊C4C23×D5311yescharacteristic
2264C4⋊C4C23×D5314yes—
2265C4⋊C4C23×D5314yes—
2266C22⋊C4—532no—
2267C22⋊C4—532no—
2268C22⋊C4—532no—
2269C22⋊C4—532no—
2270C22⋊C4—532no—
2271C22⋊C4—532no—
2272C22⋊C4—532no—
2273C22⋊C4—532no—
2274C22⋊C4—534no—
2275C22⋊C4—532no—
2276C22⋊C4—532no—
2277C22⋊C4—532no—
2278C22⋊C4—534no—
2279C22⋊C4—534no—
2280C22⋊C4—534no—
2281C22⋊C4—534no—
2282C22⋊C4—534no—
2283C22⋊C4—534no—
2284C22⋊C4—534no—
2285C22⋊C4—534no—
2286C22⋊C4—534no—
2287C22⋊C4—534no—
2288C22⋊C4—534no—
2289C22⋊C4—534no—
2290C22⋊C4—532no—
2291C22⋊C4—532no—
2292C22⋊C4—534no—
2293C22⋊C4—534no—
2294C22⋊C4—534no—
2295C22⋊C4—534no—
2296C22⋊C4—534no—
2297C22⋊C4—534no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—532no—
2301C22⋊C4—532no—
2302C22⋊C4—534no—
2303C22⋊C4—534no—
2304C22⋊C4C23×D5312yes—
2305C22⋊C4C23×D5312yes—
2306C22⋊C4C23×D5314yes—
2307C22⋊C4C23×D5312yes—
2308C22⋊C4C23×D5312yes—
2309C22⋊C4C23×D5312yes—
2310C22⋊C4C23×D5314yes—
2311C22⋊C4C23×D5312yes—
2312C22⋊C4C23×D5312yes—
2313C22⋊C4C23×D5312yes—
2314C22⋊C4C23×D5312yes—
2315C22⋊C4C23×D5314yes—
2316C22⋊C4C23×D5314yes—
2317C22⋊C4C23×D5314yes—
2318C42—531no—
2319C42—531no—
2320C42—531no—
2321C42—531no—
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—532no—
2335C42—532no—
2336C42—532no—
2337C42—532no—
2338C42—534no—
2339C42—532no—
2340C42—532no—
2341C42—532no—
2342C42—534no—
2343C42—532no—
2344C42—532no—
2345C42—534no—
2346C42—534no—
2347C42—534no—
2348C42—534no—
2349C42—534no—
2350C42C23×D5312yes—
2351C42C23×D5312yes—
2352C42C23×D5312yes—
2353C42C23×D5312yes—
2354C42C23×D5312yes—
2355C42C23×D5314yes—
2356C42C23×D5314yes—
2357C42C23×D5314yes—
2358C23—22no—
2359C23—22no—
2360C23—41no—
2361C23—534no—
2362C23—532no—
2363C23—1064no—
2364C23—2122no—
2365C23—2122no—
2366C23C24×D5311yescharacteristic
2367C23C24×D5312yes—
2368C23C24×D5311yescharacteristic
2369C23C24×D5311yescharacteristic
2370Q8—24no—
2371Q8—24no—
2372Q8—22no—
2373Q8—44no—
2374Q8—1064no—
2375Q8—1064no—
2376Q8—1064no—
2377Q8—1062no—
2378Q8—2122no—
2379Q8—2124no—
2380Q8—2122no—
2381Q8—2122no—
2382Q8—2122no—
2383Q8—2122no—
2384Q8—2122no—
2385Q8—2124no—
2386Q8—2122no—
2387Q8—2124no—
2388D4—24no—
2389D4—24no—
2390D4—22no—
2391D4—42no—
2392D4—1064no—
2393D4—1064no—
2394D4—1068no—
2395D4—1064no—
2396D4—1064no—
2397D4—1064no—
2398D4—1062no—
2399D4—2124no—
2400D4—2124no—
2401D4—2124no—
2402D4—2124no—
2403D4—2122no—
2404D4—2122no—
2405D4—2124no—
2406C2×C4—22no—
2407C2×C4—24no—
2408C2×C4—24no—
2409C2×C4—22no—
2410C2×C4—22no—
2411C2×C4—22no—
2412C2×C4—22no—
2413C2×C4—24no—
2414C2×C4—42no—
2415C2×C4—42no—
2416C2×C4—44no—
2417C2×C4—531no—
2418C2×C4—531no—
2419C2×C4—531no—
2420C2×C4—531no—
2421C2×C4—532no—
2422C2×C4—532no—
2423C2×C4—531no—
2424C2×C4—532no—
2425C2×C4—531no—
2426C2×C4—531no—
2427C2×C4—532no—
2428C2×C4—532no—
2429C2×C4—532no—
2430C2×C4—531no—
2431C2×C4—534no—
2432C2×C4—532no—
2433C2×C4—1068no—
2434C2×C4—1062no—
2435C2×C4—1062no—
2436C2×C4—1062no—
2437C2×C4—1062no—
2438C2×C4—1062no—
2439C2×C4—1064no—
2440C2×C4—1064no—
2441C2×C4—2124no—
2442C2×C4—2124no—
2443C2×C4—2124no—
2444C2×C4—2124no—
2445C2×C4—2122no—
2446C2×C4—2124no—
2447C2×C4—2124no—
2448C2×C4—2122no—
2449C2×C4—2124no—
2450C2×C4—2121no—
2451C2×C4—2121no—
2452C2×C4—2121no—
2453C2×C4—2121no—
2454C2×C4—2121no—
2455C2×C4—2121no—
2456C2×C4—2121no—
2457C2×C4—2122no—
2458C2×C4—2122no—
2459C2×C4—2122no—
2460C2×C4—2122no—
2461C2×C4—2124no—
2462C2×C4#1313326414yes—
2463C2×C4C24×D5311yescharacteristic
2464C2×C4C24×D5314yes—
2465C2×C4C24×D5312yes—
2466C2×C4C24×D5311yescharacteristic
2467C2×C4C24×D5312yes—
2468C2×C4C24×D5312yes—
2469C2×C4C24×D5312yes—
2470C2×C4C24×D5314yes—
2471C2×C4C24×D5312yes—
2472C2×C4C24×D5312yes—
2473C2×C4C24×D5312yes—
2474C2×C4C24×D5311yescharacteristic
2475C2×C4C24×D5311yescharacteristic
2476C22—21no—
2477C22—21no—
2478C22—21no—
2479C22—21no—
2480C22—21no—
2481C22—22no—
2482C22—22no—
2483C22—21no—
2484C22—22no—
2485C22—21no—
2486C22—44no—
2487C22—1062no—
2488C22—1064no—
2489C22—1064no—
2490C22—1062no—
2491C22—1062no—
2492C22—1064no—
2493C22—4244no—
2494C22C2×#1313326412yes—
2495C22#1681146012yes—
2496C22C25×D5311yescharacteristic
2497C4—21no—
2498C4—21no—
2499C4—22no—
2500C4—24no—
2501C4—22no—
2502C4—24no—
2503C4—22no—
2504C4—22no—
2505C4—22no—
2506C4—22no—
2507C4—22no—
2508C4—532no—
2509C4—1062no—
2510C4—1061no—
2511C4—1061no—
2512C4—1061no—
2513C4—1062no—
2514C4—1062no—
2515C4—1062no—
2516C4—1061no—
2517C4—1062no—
2518C4—1061no—
2519C4—1061no—
2520C4—1061no—
2521C4—1062no—
2522C4—1064no—
2523C4—1062no—
2524C4C2×#1313326412yes—
2525C4C2×#1313326412yes—
2526C2—22no—
2527C2—22no—
2528C2—41no—
2529C2—42no—
2530C2—2124no—
2531C2—2122no—
2532C2C22×#1313326411yescharacteristic
2533C2#585×D5311yescharacteristic
2534C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3495C2
hypercenter#3495D53
hypocenterC53#62831
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3495

Complements

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

NH ≅ G/Ntype
1. #20289354C2semidirect
2. #20289346C2semidirect
3. #20289335C2semidirect
4. #20289223C2semidirect
5. #20289214C2semidirect
6. #20289193C2semidirect
7. #20289184C2semidirect
8. #20289150C2semidirect
9. #20289057C2semidirect
10. #20288920C2semidirect
11. #20288803C2semidirect
12. #20288798C2semidirect
13. #20288753C2semidirect
14. #20288729C2semidirect
15. #20288694C2semidirect
16. #20288690C2semidirect
17. #20288690C2semidirect
18. #20288614C2semidirect
19. #20288612C2semidirect
20. #20288582C2semidirect
21. #20288579C2semidirect
22. #20288571C2semidirect
23. #20288560C2semidirect
24. #20288538C2semidirect
25. #20288537C2semidirect
26. #20288521C2semidirect
27. #20288517C2semidirect
28. #20288461C2semidirect
29. #20288456C2semidirect
30. #20288452C2semidirect
31. #20288450C2semidirect
32. #20288007C2semidirect
33. C2×#16811176C2semidirect
34. C2×#16811159C2semidirect
35. C53×#3495C2semidirect
36. #16811377C22semidirect
37. #16811377C22semidirect
38. #16811375C22semidirect
39. #16811375C22semidirect
40. #16811375C22semidirect
41. #16811374C22semidirect
42. #16811370C22semidirect
43. #16811367C22semidirect
44. #16811358C22semidirect
45. #16811358C22semidirect
46. #16811358C22semidirect
47. #16811356C22semidirect
48. #16811355C22semidirect
49. #16811355C22semidirect
50. #16811355C22semidirect
51. Q8×Dic106C22semidirect
52. Q8×Dic106C22semidirect
53. #16811352C22semidirect
54. #16811352C22semidirect
55. #16811352C22semidirect
56. #16811350C22semidirect
57. #16811349C22semidirect
58. #16811349C22semidirect
59. #16811349C22semidirect
60. #16811349C22semidirect
61. #16811349C22semidirect
62. #16811348C22semidirect
63. #16811348C22semidirect
64. #16811347C22semidirect
65. #16811347C22semidirect
66. #16811347C22semidirect
67. #16811346C22semidirect
68. #16811346C22semidirect
69. #16811345C22semidirect
70. #16811345C22semidirect
71. #16811345C22semidirect
72. #16811344C22semidirect
73. #16811344C22semidirect
74. #16811342C22semidirect
75. #16811341C22semidirect
76. #16811340C22semidirect
77. #16811340C22semidirect
80. #16811336C22semidirect
81. #16811334C22semidirect
82. #16811334C22semidirect
83. #16811334C22semidirect
85. #16811332C22semidirect
87. #16811331C22semidirect
88. #16811331C22semidirect
90. #16811330C22semidirect
91. #16811329C22semidirect
92. #16811329C22semidirect
93. #16811329C22semidirect
94. #16811329C22semidirect
95. #16811329C22semidirect
98. #16811321C22semidirect
102. #16811317C22semidirect
103. #16811315C22semidirect
104. #16811315C22semidirect
105. #16811315C22semidirect
106. #16811315C22semidirect
107. #16811311C22semidirect
108. #16811311C22semidirect
109. #16811311C22semidirect
110. #16811311C22semidirect
111. #16811309C22semidirect
112. #16811309C22semidirect
113. #16811309C22semidirect
115. #16811307C22semidirect
116. #16811307C22semidirect
117. #16811306C22semidirect
118. #16811306C22semidirect
119. #16811306C22semidirect
127. #16811294C22semidirect
128. #16811288C22semidirect
129. #16811288C22semidirect
130. #16811286C22semidirect
131. #16811282C22semidirect
132. #16811281C22semidirect
134. #16811277C22semidirect
136. #16811274C22semidirect
137. #16811271C22semidirect
138. #16811271C22semidirect
139. #16811271C22semidirect
143. #16811254C22semidirect
144. #16811253C22semidirect
145. #16811253C22semidirect
149. #16811251C22semidirect
150. #16811250C22semidirect
153. #16811246C22semidirect
154. #16811246C22semidirect
155. #16811246C22semidirect
156. #16811245C22semidirect
157. #16811245C22semidirect
159. #16811244C22semidirect
160. #16811242C22semidirect
161. #16811239C22semidirect
162. #16811239C22semidirect
163. #16811239C22semidirect
164. #16811239C22semidirect
165. #16811239C22semidirect
166. #16811237C22semidirect
167. #16811236C22semidirect
168. #16811233C22semidirect
169. #16811232C22semidirect
170. #16811232C22semidirect
171. #16811232C22semidirect
172. #16811232C22semidirect
173. #16811231C22semidirect
176. #16811222C22semidirect
177. #16811222C22semidirect
178. #16811222C22semidirect
180. #16811217C22semidirect
181. #16811217C22semidirect
182. #16811216C22semidirect
183. #16811215C22semidirect
184. #16811214C22semidirect
185. #16811214C22semidirect
186. #16811214C22semidirect
188. #16811199C22semidirect
190. #16811196C22semidirect
191. #16811195C22semidirect
194. #16811178C22semidirect
203. #16811176C22semidirect
204. #16811176C22semidirect
205. #16811176C22semidirect
206. #16811176C22semidirect
207. #16811176C22semidirect
208. #16811176C22semidirect
209. #16811176C22semidirect
210. #16811175C22semidirect
211. #16811175C22semidirect
212. #16811175C22semidirect
216. #16811168C22semidirect
217. #16811168C22semidirect
218. C2×#13133216C22semidirect
219. C2×#13133216C22semidirect
220. #16811160C22semidirect
221. #16811160C22semidirect
231. #16811159C22semidirect
232. #16811159C22semidirect
233. #16811159C22semidirect
234. #16811159C22semidirect
235. #16811159C22semidirect
237. #16811154C22semidirect
238. #16811154C22semidirect
239. #16811153C22semidirect
240. #16811153C22semidirect
246. C2×#13133208C22semidirect
247. C2×#13133208C22semidirect
248. C2×#13133208C22semidirect
249. #125×D53C22semidirect
263. #16811103C22semidirect
264. #16811103C22semidirect
265. #16811102C22semidirect
267. #16811099C22semidirect
272. C4×#11719947C22semidirect
273. C4×#11719947C22semidirect
275. C2×C4×Dic106C22semidirect
276. C2×C4×Dic106C22semidirect
282. C53×#556C22semidirect
283. C53×#554C22semidirect
285. C53×#552C22semidirect
286. C53×#552C22semidirect
289. C53×#542C22semidirect
290. C53×#541C22semidirect
292. C53×#533C22semidirect
293. C53×#529C22semidirect
1288. #3495D53semidirect
1345. #556C2×D53semidirect
1365. #554C2×D53semidirect
1390. #552C2×D53semidirect
1391. #552C2×D53semidirect
1441. #542C2×D53semidirect
1449. #541C2×D53semidirect
1490. #533C2×D53semidirect
1522. #529C2×D53semidirect
1566. C53#62831semidirect

Maximal subgroups

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

subgroupindex
#202893542
#202893462
#202893352
#202892232
#202892142
#202891932
#202891842
#202891502
#202890572
#202889202
#202888032
#202887982
#202887532
#202887292
#202886942
#202886902
#202886142
#202886122
#202885822
#202885792
#202885712
#202885602
#202885382
#202885372
#202885212
#202885172
#202884612
#202884562
#202884522
#202884502
#202880072
C2×#168111762
C2×#168111592
C53×#34952
#6283153