Finite Group Databasebeta

← #28292954

Subgroups — #28292954

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#20289365C212yesmaximal, complemented
2#20289361C212yesmaximal, complemented
3#20289327C214yesmaximal, complemented
4#20289220C212yesmaximal, complemented
5#20289214C212yesmaximal, complemented
6#20289201C212yesmaximal, complemented
7#20289176C212yesmaximal, complemented
8#20289154C212yesmaximal, complemented
9#20289051C212yesmaximal, complemented
10#20288912C214yesmaximal, complemented
11#20288809C212yesmaximal, complemented
12#20288792C212yesmaximal, complemented
13#20288751C214yesmaximal, complemented
14#20288731C212yesmaximal, complemented
15#20288686C212yesmaximal, complemented
16#20288686C212yesmaximal, complemented
17#20288684C212yesmaximal, complemented
18#20288610C211yesmaximal, characteristic, complemented
19#20288606C211yesmaximal, characteristic, complemented
20#20288577C212yesmaximal, complemented
21#20288573C211yesmaximal, characteristic, complemented
22#20288571C212yesmaximal, complemented
23#20288566C211yesmaximal, characteristic, complemented
24#20288538C211yesmaximal, characteristic, complemented
25#20288537C211yesmaximal, characteristic, complemented
26#20288523C211yesmaximal, characteristic, complemented
27#20288513C211yesmaximal, characteristic, complemented
28#20288469C211yesmaximal, characteristic, complemented
29#20288467C211yesmaximal, characteristic, complemented
30#20288454C214yesmaximal, complemented
31#20288444C211yesmaximal, characteristic, complemented
32#20288007C211yesmaximal, characteristic, complemented
33C2×#16811176C211yesmaximal, characteristic, complemented
34C2×#16811154C211yesmaximal, characteristic, complemented
35C53×#3494C211yesmaximal, characteristic, complemented
36#16811376C2214yescomplemented
37#16811376C2214yescomplemented
38#16811376C2214yescomplemented
39#16811375C2214yescomplemented
40#16811374C2214yescomplemented
41#16811373C2214yescomplemented
42#16811368C2214yescomplemented
43#16811368C2214yescomplemented
44#16811359C2212yescomplemented
45#16811359C2212yescomplemented
46#16811359C2212yescomplemented
47#16811356C2212yescomplemented
48#16811356C2212yescomplemented
49#16811356C2212yescomplemented
50#16811355C2212yescomplemented
51#16811353C2212yescomplemented
52#16811353C2212yescomplemented
53#16811352C2212yescomplemented
54#16811351C2212yescomplemented
55#16811350C2212yescomplemented
56#16811350C2212yescomplemented
57#16811350C2212yescomplemented
58#16811350C2212yescomplemented
59#16811350C2212yescomplemented
60#16811349C2212yescomplemented
61#16811348C2212yescomplemented
62#16811348C2212yescomplemented
63#16811348C2212yescomplemented
64#16811345C2212yescomplemented
65#16811343C2212yescomplemented
66#16811343C2212yescomplemented
67#16811343C2212yescomplemented
68#16811343C2212yescomplemented
69#16811342C2212yescomplemented
70#16811342C2212yescomplemented
71#16811342C2214yescomplemented
72#16811342C2212yescomplemented
73#16811342C2214yescomplemented
74#16811342C2214yescomplemented
75#16811341C2214yescomplemented
76#16811341C2212yescomplemented
77#16811341C2212yescomplemented
78#16811340C2214yescomplemented
79#16811337C2212yes—
80#16811337C2212yescomplemented
81#16811334C2212yescomplemented
82#16811332C2214yes—
83#16811332C2212yescomplemented
84#16811332C2212yescomplemented
85#16811332C2212yescomplemented
86#16811332C2212yescomplemented
87#16811332C2212yescomplemented
88#16811331C2214yes—
89#16811330C2214yes—
90#16811330C2212yescomplemented
91#16811330C2212yescomplemented
92#16811330C2212yescomplemented
93#16811330C2212yescomplemented
94#16811329C2212yescomplemented
95#16811328C2212yescomplemented
96#16811328C2212yescomplemented
97#16811327C2214yes—
98#16811325C2212yes—
99#16811325C2212yescomplemented
100#16811320C2212yes—
101#16811320C2212yescomplemented
102#16811315C2214yescomplemented
103#16811313C2212yescomplemented
104#16811313C2214yescomplemented
105#16811313C2214yescomplemented
106#16811313C2214yescomplemented
107#16811313C2212yescomplemented
108#16811312C2212yescomplemented
109#16811312C2212yescomplemented
110#16811310C2214yes—
111#16811310C2214yescomplemented
112#16811310C2214yescomplemented
113#16811310C2214yescomplemented
114#16811310C2214yescomplemented
115#16811310C2214yescomplemented
116#16811309C2214yescomplemented
117#16811309C2214yescomplemented
118#16811308C2212yescomplemented
119#16811308C2212yescomplemented
120#16811306C2214yes—
121#16811306C2214yescomplemented
122#16811304C2214yes—
123#16811304C2214yes—
124#16811304C2214yes—
125#16811299C2214yes—
126#16811299C2214yes—
127#16811299C2214yes—
128#16811299C2214yes—
129#16811293C2212yescomplemented
130D4×Dic106C2212yescomplemented
131D4×Dic106C2212yescomplemented
132D4×Dic106C2214yescomplemented
133#16811279C2214yescomplemented
134#16811279C2214yescomplemented
135#16811273C2212yes—
136#16811273C2214yescomplemented
137#16811273C2212yescomplemented
138#16811273C2214yescomplemented
139#16811272C2214yescomplemented
140#16811272C2214yescomplemented
141#16811267C2214yes—
142#16811254C2211yescharacteristic
143#16811254C2212yescomplemented
144#16811253C2212yescomplemented
145#16811252C2214yes—
146#16811252C2214yescomplemented
147#16811251C2211yescharacteristic
148#16811251C2211yescharacteristic
149#16811251C2212yescomplemented
150#16811250C2212yescomplemented
151#16811249C2214yes—
152#16811244C2212yescomplemented
153#16811242C2214yescomplemented
154#16811241C2214yescomplemented
155#16811240C2212yes—
156#16811240C2212yescomplemented
157#16811240C2212yescomplemented
158#16811240C2214yescomplemented
159#16811240C2214yescomplemented
160#16811240C2212yescomplemented
161#16811238C2214yescomplemented
162#16811238C2212yescomplemented
163#16811238C2212yescomplemented
164#16811237C2214yescomplemented
165#16811237C2214yescomplemented
166#16811237C2214yescomplemented
167#16811235C2214yescomplemented
168#16811235C2212yescomplemented
169#16811233C2214yescomplemented
170#16811233C2212yescomplemented
171#16811230C2214yescomplemented
172#16811230C2214yescomplemented
173#16811230C2214yescomplemented
174#16811230C2214yescomplemented
175#16811226C2212yes—
176#16811218C2214yescomplemented
177#16811218C2214yescomplemented
178#16811218C2214yescomplemented
179#16811218C2214yescomplemented
180#16811217C2214yescomplemented
181#16811217C2214yescomplemented
182#16811217C2214yescomplemented
183#16811216C2214yescomplemented
184#16811216C2214yescomplemented
185#16811215C2214yes—
186#16811215C2214yescomplemented
187#16811208C2214yes—
188#16811199C2211yescharacteristic
189#16811195C2214yescomplemented
190#16811195C2214yescomplemented
191#16811194C2211yescharacteristic
192#16811194C2214yescomplemented
193#16811190C2211yescharacteristic
194#16811180C2212yescomplemented
195#16811178C2212yescomplemented
196#16811176C2211yescharacteristic
197#16811176C2211yescharacteristic
198#16811176C2211yescharacteristic
199#16811176C2211yescharacteristic
200#16811176C2211yescharacteristic
201#16811176C2212yes—
202#16811176C2212yes—
203#16811176C2211yescharacteristic, complemented
204#16811176C2211yescharacteristic, complemented
205#16811176C2212yescomplemented
206#16811176C2211yescharacteristic, complemented
207#16811176C2212yescomplemented
208#16811176C2211yescharacteristic, complemented
209#16811176C2212yescomplemented
210#16811175C2214yes—
211#16811175C2211yescharacteristic, complemented
212#16811175C2211yescharacteristic, complemented
213#16811175C2212yescomplemented
214#16811169C2211yescharacteristic
215#16811168C2212yes—
216#16811168C2211yescharacteristic, complemented
217#16811168C2211yescharacteristic, complemented
218C2×#13133216C2211yescharacteristic, complemented
219C2×#13133216C2211yescharacteristic, complemented
220#16811159C2211yescharacteristic, complemented
221#16811159C2211yescharacteristic, complemented
222#16811157C2212yescomplemented
223#16811155C2212yescomplemented
224#16811155C2212yescomplemented
225#16811154C2212yes—
226#16811154C2212yes—
227#16811154C2212yes—
228#16811154C2212yes—
229#16811154C2212yes—
230#16811154C2212yes—
231#16811154C2212yes—
232#16811154C2212yes—
233#16811154C2212yes—
234#16811154C2211yescharacteristic, complemented
235#16811154C2211yescharacteristic, complemented
236#16811154C2212yescomplemented
237#16811154C2212yescomplemented
238#16811154C2212yescomplemented
239#16811153C2214yes—
240#16811153C2212yescomplemented
241#16811153C2212yescomplemented
242#16811150C2212yes—
243#16811150C2212yes—
244C2×#13133210C2212yes—
245C2×#13133208C2211yescharacteristic
246C2×#13133208C2211yescharacteristic, complemented
247C2×#13133208C2211yescharacteristic, complemented
248C2×#13133208C2212yescomplemented
249#125×D53C2212yescomplemented
250C2×#13133204C2211yescharacteristic
251#16811134C2211yescharacteristic
252#16811129C2212yes—
253#16811129C2212yes—
254#16811129C2214yes—
255C2×#13133198C2212yes—
256C2×#13133196C2211yescharacteristic
257C2×#13133194C2214yes—
258C2×#13133194C2212yes—
259C2×#13133194C2212yes—
260#16811106C2211yescharacteristic
261#16811106C2214yescomplemented
262#16811104C2211yescharacteristic
263#16811103C2211yescharacteristic
264#16811102C2214yescomplemented
265#16811102C2214yescomplemented
266#16811100C2211yescharacteristic
267#16811100C2211yescharacteristic
268#16811100C2214yescomplemented
269#16811098C2211yescharacteristic
270#41×Dic53C2211yescharacteristic
271#16811091C2211yescharacteristic
272C4×#11719947C2212yescomplemented
273C4×#11719947C2212yescomplemented
274C2×C4×Dic106C2212yescomplemented
275C2×C4×Dic106C2212yescomplemented
276C2×#13133182C2211yescharacteristic
277C2×D4×Dic53C2211yescharacteristic
278C2×D4×Dic53C2212yes—
279C2×#13133176C2211yescharacteristic
280C2×#13133173C2212yes—
281C22×C4×Dic53C2211yescharacteristic
282C53×#555C2212yes—
283C53×#553C2212yes—
284C53×#553C2212yes—
285C53×#551C2214yes—
286C53×#547C2212yes—
287C53×#546C2214yes—
288C53×#544C2211yescharacteristic
289C53×#542C2212yes—
290C53×#540C2212yes—
291C53×#535C2211yescharacteristic
292C53×#532C2212yes—
293C53×#529C2212yes—
294C53×#525C2211yescharacteristic
295C2×#121×C53C2211yescharacteristic
296C53×#520C2211yescharacteristic
297C53×#518C2211yescharacteristic
298C2×#117×C53C2211yescharacteristic
299C2×#11719945C2311yescharacteristic
300C2×#11719947C2314yes—
301C2×#11719947C2312yes—
302C2×#11719947C2312yes—
303C2×#11719947C2314yes—
304C22×Dic106C2311yescharacteristic
305C22×Dic106C2312yes—
306C22×Dic106C2314yes—
307C22×Dic106C2312yes—
308C23×Dic53C2311yescharacteristic
309C23×Dic53C2311yescharacteristic
310C23×Dic53C2312yes—
311#13133217C2314yes—
312#13133217C2312yes—
313#13133217C2312yes—
314#13133217C2312yes—
315#13133216C2312yes—
316#13133216C2311yescharacteristic
317#13133216C2314yes—
318#13133216C2314yes—
319#13133216C2311yescharacteristic
320#13133216C2311yescharacteristic
321#13133216C2312yes—
322#13133216C2312yes—
323#13133216C2314yes—
324#13133216C2311yescharacteristic
325#13133216C2314yes—
326#13133216C2311yescharacteristic
327#13133216C2312yes—
328#13133216C2311yescharacteristic
329#13133216C2314yes—
330#13133216C2312yes—
331#13133216C2312yes—
332#13133216C2312yes—
333#13133216C2311yescharacteristic
334#13133216C2311yescharacteristic
335#13133216C2311yescharacteristic
336#13133216C2311yescharacteristic
337#13133216C2312yes—
338#13133215C2314yes—
339#13133215C2314yes—
340#13133215C2314yes—
341#13133215C2312yes—
342#13133215C2311yescharacteristic
343#13133215C2314yes—
344#13133213C2311yescharacteristic
345#13133213C2312yes—
346#13133212C2314yes—
347#13133212C2312yes—
348#13133212C2314yes—
349#13133212C2312yes—
350#13133211C2314yes—
351#13133211C2314yes—
352#13133210C2314yes—
353#13133210C2314yes—
354#13133210C2314yes—
355#13133210C2314yes—
356#13133210C2314yes—
357#13133210C2314yes—
358#13133210C2314yes—
359#13133210C2314yes—
360#13133210C2314yes—
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2314yes—
370#13133210C2314yes—
371#13133210C2312yes—
372#13133210C2314yes—
373#13133210C2314yes—
374#13133210C2314yes—
375#13133210C2312yes—
376#13133210C2314yes—
377#13133210C2314yes—
378#13133209C2314yes—
379#13133209C2314yes—
380#13133209C2314yes—
381#13133209C2312yes—
382#13133209C2312yes—
383#13133208C2311yescharacteristic
384#13133208C2312yes—
385#13133208C2312yes—
386#13133208C2314yes—
387#13133208C2314yes—
388#13133208C2312yes—
389#13133208C2314yes—
390#13133208C2314yes—
391#13133208C2311yescharacteristic
392#13133208C2312yes—
393#13133208C2311yescharacteristic
394#13133208C2311yescharacteristic
395#13133208C2312yes—
396#13133208C2311yescharacteristic
397#13133208C2312yes—
398#13133208C2312yes—
399#13133208C2311yescharacteristic
400#13133208C2312yes—
401#13133208C2311yescharacteristic
402#13133208C2312yes—
403#13133208C2312yes—
404#13133208C2311yescharacteristic
405#13133208C2311yescharacteristic
406#13133208C2311yescharacteristic
407#13133208C2312yes—
408#13133208C2312yes—
409#13133207C2314yes—
410#13133207C2314yes—
411#13133207C2314yes—
412#13133207C2314yes—
413#13133207C2314yes—
414#13133207C2314yes—
415#13133207C2314yes—
416#13133207C2314yes—
417#13133207C2314yes—
418#13133207C2314yes—
419#13133207C2314yes—
420#13133207C2314yes—
421#13133207C2314yes—
422#13133207C2314yes—
423#13133207C2314yes—
424#13133207C2314yes—
425#13133207C2312yes—
426#13133207C2312yes—
427#13133206C2311yescharacteristic
428#13133205C2312yes—
429#13133204C2314yes—
430#13133204C2314yes—
431#13133204C2314yes—
432#13133204C2314yes—
433#13133204C2314yes—
434#13133204C2312yes—
435#13133204C2312yes—
436#13133204C2312yes—
437#13133204C2311yescharacteristic
438#13133204C2312yes—
439#13133204C2312yes—
440#13133204C2312yes—
441#13133203C2314yes—
442#13133203C2314yes—
443#13133203C2314yes—
444#13133203C2314yes—
445#13133203C2314yes—
446#13133203C2314yes—
447#13133203C2312yes—
448#13133203C2312yes—
449#13133201C2314yes—
450#13133201C2314yes—
451#13133201C2314yes—
452#13133201C2312yes—
453#13133201C2312yes—
454#13133200C2314yes—
455#13133200C2314yes—
456#13133200C2314yes—
457#13133200C2312yes—
458#13133200C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133198C2314yes—
466#13133198C2314yes—
467#13133198C2314yes—
468#13133198C2314yes—
469#13133198C2314yes—
470#13133198C2314yes—
471#13133198C2314yes—
472#13133198C2314yes—
473#13133198C2314yes—
474#13133198C2314yes—
475#13133198C2314yes—
476#13133198C2314yes—
477#13133198C2314yes—
478#13133198C2314yes—
479#13133198C2314yes—
480#13133198C2312yes—
481#13133198C2312yes—
482#13133197C2314yes—
483#13133197C2314yes—
484#13133197C2312yes—
485#13133197C2312yes—
486#13133196C2314yes—
487#13133196C2314yes—
488#13133196C2314yes—
489#13133196C2314yes—
490#13133196C2314yes—
491#13133196C2314yes—
492#13133196C2314yes—
493#13133196C2314yes—
494#13133196C2312yes—
495#13133196C2312yes—
496#13133196C2312yes—
497#13133196C2312yes—
498#13133196C2314yes—
499#13133196C2314yes—
500#13133196C2314yes—
501#13133196C2312yes—
502#13133196C2312yes—
503#13133196C2311yescharacteristic
504#13133196C2311yescharacteristic
505#13133195C2314yes—
506#13133195C2314yes—
507#13133195C2314yes—
508#13133195C2314yes—
509#13133194C2314yes—
510#13133194C2312yes—
511#13133194C2314yes—
512#13133194C2314yes—
513#13133194C2314yes—
514#13133194C2314yes—
515#13133194C2312yes—
516#13133194C2314yes—
517#13133194C2314yes—
518#13133194C2314yes—
519#13133194C2312yes—
520#13133194C2314yes—
521#13133194C2314yes—
522#13133194C2314yes—
523#13133194C2314yes—
524#13133194C2312yes—
525#13133194C2312yes—
526#13133194C2314yes—
527#13133194C2312yes—
528#13133194C2312yes—
529#13133194C2314yes—
530#13133194C2314yes—
531#13133194C2314yes—
532#13133194C2314yes—
533#13133194C2314yes—
534#13133194C2314yes—
535#13133194C2314yes—
536#13133194C2312yes—
537#13133194C2312yes—
538#13133194C2312yes—
539#13133194C2312yes—
540#13133194C2312yes—
541#13133194C2312yes—
542#13133194C2312yes—
543#13133194C2312yes—
544#13133194C2312yes—
545#13133194C2312yes—
546#13133194C2312yes—
547#13133194C2312yes—
548#13133194C2312yes—
549#13133193C2314yes—
550#13133193C2314yes—
551#13133191C2311yescharacteristic
552#13133191C2311yescharacteristic
553#13133189C2314yes—
554#13133189C2314yes—
555#13133189C2312yes—
556#13133189C2314yes—
557#13133189C2314yes—
558#13133189C2312yes—
559#13133189C2312yes—
560#13133189C2312yes—
561#13133188C2314yes—
562#13133188C2312yes—
563#13133188C2314yes—
564#13133188C2312yes—
565#13133186C2312yes—
566#13133186C2314yes—
567Q8×Dic53C2314yes—
568Q8×Dic53C2314yes—
569Q8×Dic53C2311yescharacteristic
570Q8×Dic53C2311yescharacteristic
571Q8×Dic53C2312yes—
572C4×Dic106C2312yes—
573C4×Dic106C2312yes—
574C4×Dic106C2314yes—
575C4×Dic106C2312yes—
576C4×Dic106C2314yes—
577C4×Dic106C2312yes—
578C4×Dic106C2312yes—
579C4×Dic106C2314yes—
580C4×Dic106C2312yes—
581C4×Dic106C2312yes—
582C4×Dic106C2312yes—
583C4×Dic106C2312yes—
584C4×Dic106C2314yes—
585C4×Dic106C2312yes—
586C4×Dic106C2312yes—
587C4×Dic106C2312yes—
588C4×Dic106C2312yes—
589C4×Dic106C2312yes—
590C4×Dic106C2312yes—
591C4×Dic106C2312yes—
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594C4×Dic106C2312yes—
595C4×Dic106C2312yes—
596C4×Dic106C2312yes—
597C4×Dic106C2312yes—
598C4×Dic106C2312yes—
599#13133182C2314yes—
600#13133182C2314yes—
601#13133182C2312yes—
602#13133182C2312yes—
603#13133182C2314yes—
604#13133182C2314yes—
605#13133182C2314yes—
606#13133182C2312yes—
607#13133182C2312yes—
608#13133182C2312yes—
609#13133182C2312yes—
610#13133182C2311yescharacteristic
611#13133182C2311yescharacteristic
612#13133182C2312yes—
613#13133182C2312yes—
614#13133182C2312yes—
615#13133182C2312yes—
616#13133182C2312yes—
617C4×D212C2312yes—
618D4×Dic53C2314yes—
619D4×Dic53C2314yes—
620D4×Dic53C2314yes—
621D4×Dic53C2312yes—
622D4×Dic53C2314yes—
623D4×Dic53C2312yes—
624D4×Dic53C2314yes—
625D4×Dic53C2314yes—
626D4×Dic53C2312yes—
627D4×Dic53C2312yes—
628D4×Dic53C2312yes—
629D4×Dic53C2312yes—
630D4×Dic53C2312yes—
631D4×Dic53C2312yes—
632D4×Dic53C2314yes—
633D4×Dic53C2314yes—
634D4×Dic53C2312yes—
635D4×Dic53C2311yescharacteristic
636D4×Dic53C2312yes—
637D4×Dic53C2312yes—
638D4×Dic53C2311yescharacteristic
639D4×Dic53C2314yes—
640D4×Dic53C2314yes—
641D4×Dic53C2312yes—
642D4×Dic53C2312yes—
643#13133179C2311yescharacteristic
644#13133179C2312yes—
645#13133179C2311yescharacteristic
646C4×C22⋊D53C2314yes—
647C4×C22⋊D53C2314yes—
648C4×C22⋊D53C2314yes—
649C4×C22⋊D53C2312yes—
650C4×C22⋊D53C2314yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2314yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2312yes—
655#13133177C2312yes—
656#13133177C2312yes—
657#13133177C2314yes—
658#13133177C2314yes—
659#13133177C2314yes—
660#13133177C2312yes—
661#13133177C2312yes—
662#13133177C2312yes—
663#13133177C2312yes—
664#13133176C2312yes—
665#13133176C2314yes—
666#13133176C2314yes—
667#13133176C2314yes—
668#13133176C2314yes—
669#13133176C2311yescharacteristic
670#13133176C2312yes—
671#13133176C2311yescharacteristic
672#13133176C2311yescharacteristic
673#13133176C2311yescharacteristic
674#13133176C2312yes—
675#13133176C2311yescharacteristic
676#13133176C2312yes—
677#13133175C2312yes—
678#13133175C2312yes—
679#13133175C2312yes—
680#13133175C2312yes—
681#13133174C2314yes—
682#13133174C2314yes—
683#13133174C2312yes—
684#13133173C2314yes—
685#13133173C2314yes—
686#13133173C2314yes—
687#13133173C2314yes—
688#13133173C2314yes—
689#13133173C2314yes—
690#13133173C2314yes—
691#13133173C2314yes—
692#13133173C2314yes—
693#13133173C2312yes—
694#13133173C2312yes—
695#13133173C2312yes—
696#13133173C2314yes—
697#13133173C2312yes—
698#13133173C2314yes—
699#13133173C2314yes—
700C2×C4⋊Dic53C2311yescharacteristic
701C2×C4⋊Dic53C2312yes—
702C2×C4⋊Dic53C2312yes—
703C2×C4⋊Dic53C2314yes—
704C2×C4⋊Dic53C2314yes—
705C2×C4⋊Dic53C2311yescharacteristic
706C2×C4⋊Dic53C2312yes—
707C2×C4⋊Dic53C2311yescharacteristic
708C2×C4⋊Dic53C2312yes—
709C2×#11719919C2312yes—
710C2×#11719919C2312yes—
711C2×#11719919C2314yes—
712C2×#11719919C2314yes—
713C2×#11719919C2312yes—
714C2×#11719919C2314yes—
715C2×#11719919C2312yes—
716C2×#11719919C2312yes—
717C2×#11719919C2312yes—
718C2×#11719919C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2314yes—
721C4⋊C4×D53C2314yes—
722C4⋊C4×D53C2312yes—
723C2×C22⋊Dic53C2312yes—
724C2×C22⋊Dic53C2314yes—
725C2×C22⋊Dic53C2312yes—
726C2×C22⋊Dic53C2312yes—
727C2×C22⋊Dic53C2312yes—
728C2×C22⋊Dic53C2312yes—
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
746C2×#41×C53C2314yes—
747C22×D4×C53C2311yescharacteristic
748C22×D4×C53C2312yes—
749C23×C4×C53C2311yescharacteristic
750C4⋊Q8×C53C2312yes—
751C4⋊Q8×C53C2312yes—
752#127×C53C2312yes—
753#126×C53C2314yes—
754#126×C53C2314yes—
755#125×C53C2312yes—
756#125×C53C2312yes—
757#124×C53C2312yes—
758#124×C53C2314yes—
759#124×C53C2314yes—
760#123×C53C2312yes—
761#123×C53C2314yes—
762#123×C53C2314yes—
763#123×C53C2314yes—
764#123×C53C2314yes—
765C22⋊Q8×C53C2311yescharacteristic
766C22⋊Q8×C53C2311yescharacteristic
767C22⋊Q8×C53C2314yes—
768C22⋊Q8×C53C2314yes—
769#121×C53C2312yes—
770#121×C53C2314yes—
771#121×C53C2312yes—
772#121×C53C2314yes—
773#121×C53C2314yes—
774#121×C53C2312yes—
775#121×C53C2312yes—
776#121×C53C2312yes—
777#121×C53C2311yescharacteristic
778#121×C53C2311yescharacteristic
779#121×C53C2312yes—
780#120×C53C2312yes—
781#120×C53C2314yes—
782C4×Q8×C53C2312yes—
783C4×D4×C53C2312yes—
784C4×D4×C53C2312yes—
785C4×D4×C53C2314yes—
786C4×D4×C53C2312yes—
787C4×D4×C53C2312yes—
788C4×D4×C53C2312yes—
789C4×D4×C53C2314yes—
790C4×D4×C53C2312yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2314yes—
793#117×C53C2311yescharacteristic
794#117×C53C2312yes—
795#117×C53C2311yescharacteristic
796#117×C53C2311yescharacteristic
797#117×C53C2312yes—
798#117×C53C2311yescharacteristic
799#117×C53C2311yescharacteristic
800#117×C53C2312yes—
801#117×C53C2314yes—
802C2×C4⋊C4×C53C2311yescharacteristic
803C2×C4⋊C4×C53C2311yescharacteristic
804C2×C4⋊C4×C53C2311yescharacteristic
805C2×C4⋊C4×C53C2312yes—
806C2×C22⋊C4×C53C2312yes—
807C2×C22⋊C4×C53C2314yes—
808C2×C22⋊C4×C53C2312yes—
809C2×C42×C53C2312yes—
810C24×C53C2411yescharacteristic
811C24×C53C2412yes—
812#41×C53—24no—
813#41×C53—48no—
814C2×Q8×C53C2411yescharacteristic
815C2×Q8×C53C2414yes—
816C2×D4×C53—24no—
817C2×D4×C53—44no—
818C2×D4×C53C2412yes—
819C2×D4×C53C2412yes—
820C2×D4×C53C2412yes—
821C2×D4×C53C2411yescharacteristic
822C2×D4×C53C2412yes—
823C2×D4×C53C2414yes—
824C2×D4×C53C2412yes—
825C2×D4×C53C2414yes—
826C2×D4×C53C2414yes—
827C2×D4×C53C2414yes—
828C22×C4×C53—24no—
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2412yes—
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2411yescharacteristic
833C22×C4×C53C2412yes—
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2411yescharacteristic
836C22×C4×C53C2412yes—
837C22×C4×C53C2412yes—
838C22×C4×C53C2414yes—
839C22×C4×C53C2414yes—
840C22×C4×C53C2414yes—
841C22×C4×C53C2411yescharacteristic
842C2×C22⋊D53C2412yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2414yes—
847C2×C22⋊D53C2414yes—
848C2×C22⋊D53C2412yes—
849C22×Dic53—42no—
850C22×Dic53—44no—
851C22×Dic53—42no—
852C22×Dic53C2411yescharacteristic
853C22×Dic53C2411yescharacteristic
854C22×Dic53C2411yescharacteristic
855C22×Dic53C2411yescharacteristic
856C22×Dic53C2411yescharacteristic
857C22×Dic53C2412yes—
858C22×Dic53C2412yes—
859C22×Dic53C2414yes—
860C22×Dic53C2411yescharacteristic
861C22×Dic53C2411yescharacteristic
862C22×Dic53C2411yescharacteristic
863C22×Dic53C2411yescharacteristic
864C22×Dic53C2411yescharacteristic
865C22×Dic53C2411yescharacteristic
866C22×Dic53C2411yescharacteristic
867C22×Dic53C2412yes—
868C22×Dic53C2412yes—
869C22×Dic53C2412yes—
870C22×Dic53C2412yes—
871C22×Dic53C2414yes—
872C22×Dic53C2414yes—
873C22×Dic53C2414yes—
874C22×Dic53C2414yes—
875#11719947—44no—
876#11719947—48no—
877#11719947—48no—
878#11719947—44no—
879#11719945—24no—
880C2×D212C2411yescharacteristic
881C2×C4×D53C2412yes—
882C2×C4×D53C2412yes—
883C2×C4×D53C2412yes—
884C2×C4×D53C2414yes—
885C2×C4×D53C2414yes—
886C2×Dic106—24no—
887C2×Dic106—48no—
888C2×Dic106—44no—
889C2×Dic106—44no—
890C2×Dic106C2412yes—
891C2×Dic106C2412yes—
892C2×Dic106C2411yescharacteristic
893C2×Dic106C2412yes—
894C2×Dic106C2412yes—
895C2×Dic106C2412yes—
896C2×Dic106C2414yes—
897C2×Dic106C2412yes—
898C2×Dic106C2414yes—
899C2×Dic106C2414yes—
900C2×Dic106C2412yes—
901C2×Dic106C2412yes—
902C2×Dic106C2412yes—
903C2×Dic106C2412yes—
904C2×Dic106C2412yes—
905C2×Dic106C2412yes—
906C4⋊C4×C53C2411yescharacteristic
907C4⋊C4×C53C2412yes—
908C4⋊C4×C53C2411yescharacteristic
909C4⋊C4×C53C2411yescharacteristic
910C4⋊C4×C53C2411yescharacteristic
911C4⋊C4×C53C2412yes—
912C4⋊C4×C53C2412yes—
913C4⋊C4×C53C2412yes—
914C4⋊C4×C53C2414yes—
915C4⋊C4×C53C2412yes—
916C4⋊C4×C53C2411yescharacteristic
917C4⋊C4×C53C2411yescharacteristic
918C4⋊C4×C53C2414yes—
919C4⋊C4×C53C2414yes—
920C4⋊C4×C53C2414yes—
921C4⋊C4×C53C2412yes—
922C22⋊C4×C53C2412yes—
923C22⋊C4×C53C2412yes—
924C22⋊C4×C53C2412yes—
925C22⋊C4×C53C2412yes—
926C22⋊C4×C53C2412yes—
927C22⋊C4×C53C2414yes—
928C22⋊C4×C53C2414yes—
929C22⋊C4×C53C2414yes—
930C22⋊C4×C53C2414yes—
931C22⋊C4×C53C2414yes—
932C22⋊C4×C53C2414yes—
933C22⋊C4×C53C2412yes—
934C22⋊C4×C53C2412yes—
935C22⋊C4×C53C2414yes—
936C22⋊C4×C53C2412yes—
937C22⋊C4×C53C2412yes—
938C42×C53C2412yes—
939C42×C53C2412yes—
940C42×C53C2412yes—
941C42×C53C2412yes—
942C42×C53C2414yes—
943C42×C53C2412yes—
944C22⋊Dic53C2412yes—
945C22⋊Dic53C2412yes—
946C22⋊Dic53C2414yes—
947C22⋊Dic53C2412yes—
948C22⋊Dic53C2414yes—
949C22⋊Dic53C2414yes—
950C22⋊Dic53C2414yes—
951C22⋊Dic53C2412yes—
952C22⋊Dic53C2412yes—
953C22⋊Dic53C2414yes—
954C22⋊Dic53C2414yes—
955C22⋊Dic53C2414yes—
956C22⋊Dic53C2414yes—
957C22⋊Dic53C2414yes—
958C22⋊Dic53C2414yes—
959C22⋊Dic53C2414yes—
960C22⋊Dic53C2412yes—
961C22⋊Dic53C2412yes—
962C22⋊Dic53C2412yes—
963C22⋊Dic53C2412yes—
964C22⋊Dic53C2414yes—
965C22⋊Dic53C2414yes—
966C22⋊Dic53C2414yes—
967C22⋊Dic53C2412yes—
968C22⋊Dic53C2412yes—
969C22⋊Dic53C2414yes—
970#11719921C2412yes—
971#11719921C2412yes—
972#11719921C2412yes—
973#11719921C2412yes—
974#11719921C2414yes—
975#11719921C2414yes—
976#11719921C2412yes—
977#11719921C2412yes—
978#11719921C2414yes—
979#11719921C2414yes—
980C4⋊Dic53C2411yescharacteristic
981C4⋊Dic53C2412yes—
982C4⋊Dic53C2412yes—
983C4⋊Dic53C2414yes—
984C4⋊Dic53C2411yescharacteristic
985C4⋊Dic53C2412yes—
986C4⋊Dic53C2412yes—
987C4⋊Dic53C2412yes—
988C4⋊Dic53C2414yes—
989C4⋊Dic53C2411yescharacteristic
990C4⋊Dic53C2411yescharacteristic
991C4⋊Dic53C2412yes—
992C4⋊Dic53C2412yes—
993C4⋊Dic53C2412yes—
994C4⋊Dic53C2412yes—
995C4⋊Dic53C2412yes—
996C4⋊Dic53C2412yes—
997C4⋊Dic53C2414yes—
998C4⋊Dic53C2414yes—
999C4⋊Dic53C2414yes—
1000C4⋊Dic53C2414yes—
1001C4⋊Dic53C2412yes—
1002C4⋊Dic53C2412yes—
1003C4⋊Dic53C2412yes—
1004C4⋊Dic53C2414yes—
1005C4⋊Dic53C2411yescharacteristic
1006C4⋊Dic53C2411yescharacteristic
1007C4⋊Dic53C2412yes—
1008C4⋊Dic53C2412yes—
1009C4⋊Dic53C2414yes—
1010#11719919C2412yes—
1011#11719919C2414yes—
1012#11719919C2414yes—
1013#11719919C2414yes—
1014#11719919C2414yes—
1015#11719919C2414yes—
1016#11719919C2412yes—
1017#11719919C2412yes—
1018#11719919C2412yes—
1019#11719919C2412yes—
1020#11719919C2412yes—
1021#11719919C2414yes—
1022#11719919C2414yes—
1023#11719919C2412yes—
1024#11719919C2412yes—
1025#11719919C2414yes—
1026#11719919C2414yes—
1027#11719919C2412yes—
1028#11719919C2414yes—
1029#11719919C2412yes—
1030#11719919C2414yes—
1031#11719919C2414yes—
1032#11719919C2414yes—
1033#11719919C2412yes—
1034#11719919C2412yes—
1035#11719919C2412yes—
1036#11719919C2412yes—
1037#11719919C2412yes—
1038#11719919C2412yes—
1039#11719919C2412yes—
1040#11719919C2412yes—
1041#11719919C2412yes—
1042#11719919C2412yes—
1043#11719919C2414yes—
1044#11719919C2412yes—
1045#11719919C2412yes—
1046#11719919C2412yes—
1047#11719919C2412yes—
1048#11719919C2414yes—
1049#11719919C2414yes—
1050#11719919C2414yes—
1051#11719919C2414yes—
1052#11719919C2414yes—
1053#11719919C2414yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056C4×Dic53C2411yescharacteristic
1057C4×Dic53C2412yes—
1058C4×Dic53C2412yes—
1059C4×Dic53C2411yescharacteristic
1060C4×Dic53C2411yescharacteristic
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×Dic53C2412yes—
1075C4×Dic53C2412yes—
1076C4×Dic53C2414yes—
1077C4×Dic53C2412yes—
1078C4×Dic53C2412yes—
1079C4×Dic53C2414yes—
1080C4×Dic53C2412yes—
1081C4×Dic53C2412yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2414yes—
1084C4×Dic53C2414yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2414yes—
1090C23×C53—22no—
1091C23×C53—22no—
1092C23×C53—24no—
1093C23×C53—41no—
1094C23×C53—42no—
1095C23×C53—42no—
1096C23×C53C2512yes—
1097C23×C53C2511yescharacteristic
1098C23×C53C2514yes—
1099C23×C53C2511yescharacteristic
1100C23×C53C2511yescharacteristic
1101C22×D53C2512yes—
1102Q8×C53—22no—
1103Q8×C53—44no—
1104D4×C53—24no—
1105D4×C53—28no—
1106D4×C53—24no—
1107D4×C53—24no—
1108D4×C53—24no—
1109D4×C53—22no—
1110D4×C53—42no—
1111D4×C53—44no—
1112D4×C53—44no—
1113D4×C53—44no—
1114C2×C4×C53—22no—
1115C2×C4×C53—24no—
1116C2×C4×C53—22no—
1117C2×C4×C53—22no—
1118C2×C4×C53—22no—
1119C2×C4×C53—22no—
1120C2×C4×C53—24no—
1121C2×C4×C53—44no—
1122C2×C4×C53—42no—
1123C2×C4×C53—42no—
1124C2×C4×C53—44no—
1125C2×C4×C53—44no—
1126C2×C4×C532−1+414yes—
1127C2×C4×C53C2512yes—
1128C2×C4×C53C2512yes—
1129C2×C4×C53C2512yes—
1130C2×C4×C53C2512yes—
1131C2×C4×C53C2512yes—
1132C2×C4×C53C2514yes—
1133C2×C4×C53C2512yes—
1134C2×C4×C53C2511yescharacteristic
1135C2×C4×C53C2511yescharacteristic
1136C2×C4×C53C2512yes—
1137C2×C4×C53C2511yescharacteristic
1138C2×C4×C53C2511yescharacteristic
1139C22⋊D53—24no—
1140C22⋊D53—24no—
1141C22⋊D53—24no—
1142C22⋊D53—42no—
1143C22⋊D53—44no—
1144C22⋊D53—44no—
1145C22⋊D53—42no—
1146C2×Dic53—24no—
1147C2×Dic53—22no—
1148C2×Dic53—24no—
1149C2×Dic53—22no—
1150C2×Dic53—22no—
1151C2×Dic53—28no—
1152C2×Dic53—22no—
1153C2×Dic53—22no—
1154C2×Dic53—44no—
1155C2×Dic53—42no—
1156C2×Dic53—42no—
1157C2×Dic53—44no—
1158C2×Dic53—44no—
1159C2×Dic53—42no—
1160C2×Dic53—41no—
1161C2×Dic53—41no—
1162C2×Dic53—41no—
1163C2×Dic53—41no—
1164C2×Dic53—41no—
1165C2×Dic53—41no—
1166C2×Dic53—42no—
1167C2×Dic53—44no—
1168C2×Dic53—41no—
1169C2×Dic53C2511yescharacteristic
1170C2×Dic53C2511yescharacteristic
1171C2×Dic53C2512yes—
1172C2×Dic53C2511yescharacteristic
1173C2×Dic53C2512yes—
1174C2×Dic53C2512yes—
1175C2×Dic53C2512yes—
1176C2×Dic53C2512yes—
1177C2×Dic53C2514yes—
1178C2×Dic53C2511yescharacteristic
1179C2×Dic53C2512yes—
1180C2×Dic53C2514yes—
1181C2×Dic53C2512yes—
1182C2×Dic53C2511yescharacteristic
1183C2×Dic53C2511yescharacteristic
1184C2×Dic53C2511yescharacteristic
1185C2×Dic53C2511yescharacteristic
1186D212—22no—
1187C4×D53—24no—
1188C4×D53—44no—
1189C4×D53—44no—
1190C4×D53—42no—
1191C4×D53—42no—
1192Dic106—24no—
1193Dic106—24no—
1194Dic106—22no—
1195Dic106—24no—
1196Dic106—24no—
1197Dic106—24no—
1198Dic106—42no—
1199Dic106—44no—
1200Dic106—44no—
1201Dic106—42no—
1202Dic106—42no—
1203Dic106—42no—
1204Dic106—42no—
1205Dic106—42no—
1206Dic106—44no—
1207Dic106—42no—
1208#62831—531nomaximal, Sylow
1209C22×C53—21no—
1210C22×C53—21no—
1211C22×C53—21no—
1212C22×C53—21no—
1213C22×C53—21no—
1214C22×C53—22no—
1215C22×C53—24no—
1216C22×C53—24no—
1217C22×C53—21no—
1218C22×C53—22no—
1219C22×C53—21no—
1220C22×C53—22no—
1221C22×C53—24no—
1222C22×C53—44no—
1223C22×C53—84no—
1224C22×C53C2×2−1+412yes—
1225C22×C53#58512yes—
1226C22×C53C2611yescharacteristic
1227C2×D53—22no—
1228C2×D53—22no—
1229C2×D53—22no—
1230C4×C53—21no—
1231C4×C53—21no—
1232C4×C53—22no—
1233C4×C53—22no—
1234C4×C53—22no—
1235C4×C53—22no—
1236C4×C53—22no—
1237C4×C53—22no—
1238C4×C53—24no—
1239C4×C53—22no—
1240C4×C53C2×2−1+412yes—
1241C4×C53C2×2−1+412yes—
1242Dic53—24no—
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—532no—
1279#3507—532no—
1280#3507—531no—
1281#3506—531no—
1282#3504—531no—
1283#3504—531no—
1284#3502—531no—
1285#3501—531no—
1286#3495—534no—
1287#3495—531no—
1288#3495—531no—
1289#3494—531no—
1290#3494D5311yescharacteristic, complemented
1291#3444—531no—
1292C2×#533—531no—
1293C2×#529—531no—
1294C2×C53—22no—
1295C2×C53—22no—
1296C2×C53—42no—
1297C2×C53—41no—
1298C2×C53—44no—
1299C2×C53C22×2−1+411yescharacteristic
1300C2×C53C2×#58511yescharacteristic
1301C2×C53C2×#58511yescharacteristic
1302D53—42no—
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—534no—
1332#556—534no—
1333#556—532no—
1334#556—532no—
1335#556—534no—
1336#556—532no—
1337#556—534no—
1338#556—532no—
1339#556—532no—
1340#556—532no—
1341#556—532no—
1342#556—532no—
1343#556—532no—
1344#556—532no—
1345#556—534no—
1346#555—532no—
1347#555—532no—
1348#555C2×D5312yes—
1349#554—532no—
1350#554—532no—
1351#554—534no—
1352#554—534no—
1353#554—534no—
1354#554—532no—
1355#554—532no—
1356#554—532no—
1357#554—532no—
1358#554—534no—
1359#554—532no—
1360#554—532no—
1361#554—532no—
1362#554—532no—
1363#554—532no—
1364#554—532no—
1365#554—532no—
1366#553—532no—
1367#553—532no—
1368#553—532no—
1369#553—532no—
1370#553C2×D5312yes—
1371#553C2×D5312yes—
1372#552—534no—
1373#552—534no—
1374#552—534no—
1375#552—534no—
1376#552—534no—
1377#552—534no—
1378#552—534no—
1379#552—534no—
1380#552—534no—
1381#552—534no—
1382#552—532no—
1383#552—532no—
1384#552—534no—
1385#552—534no—
1386#552—534no—
1387#552—534no—
1388#552—532no—
1389#552—532no—
1390#552—532no—
1391#552—532no—
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—532no—
1409#547—532no—
1410#547—534no—
1411#547—534no—
1412#547C2×D5312yes—
1413#546—534no—
1414#546C2×D5314yes—
1415#544—532no—
1416#544—532no—
1417#544—534no—
1418#544—534no—
1419#544—531no—
1420#544—531no—
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—532no—
1432#542—532no—
1433#542—532no—
1434#542—532no—
1435#542—534no—
1436#542—534no—
1437#542—532no—
1438#542—532no—
1439#542—534no—
1440#542—532no—
1441#542C2×D5312yes—
1442#541—534no—
1443#541—534no—
1444#541—534no—
1445#541—534no—
1446#541—532no—
1447#541—534no—
1448#541—532no—
1449#541—534no—
1450#540—532no—
1451#540C2×D5312yes—
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#536—531no—
1469#535—531no—
1470#535C2×D5311yescharacteristic
1471#533—532no—
1472#533—531no—
1473#533—531no—
1474#533—534no—
1475#533—532no—
1476#533—532no—
1477#533—531no—
1478#533—531no—
1479#533—531no—
1480#533—531no—
1481#533—532no—
1482#533—531no—
1483#533—531no—
1484#533—532no—
1485#533—532no—
1486#533—531no—
1487#533—531no—
1488#533—531no—
1489#533—532no—
1490#533—532no—
1491#532—531no—
1492#532—531no—
1493#532—531no—
1494#532—532no—
1495#532C2×D5312yes—
1496C2×C4⋊Q8—531no—
1497C2×C4⋊Q8—531no—
1498#529—532no—
1499#529—532no—
1500#529—531no—
1501#529—531no—
1502#529—532no—
1503#529—532no—
1504#529—532no—
1505#529—532no—
1506#529—532no—
1507#529—532no—
1508#529—532no—
1509#529—532no—
1510#529—531no—
1511#529—531no—
1512#529—532no—
1513#529—532no—
1514#529—532no—
1515#529—532no—
1516#529—532no—
1517#529—532no—
1518#529—534no—
1519#529—532no—
1520#529—532no—
1521#529—532no—
1522#529C2×D5312yes—
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—531no—
1537C2×C22⋊Q8—532no—
1538C2×C22⋊Q8—532no—
1539C2×C22⋊Q8—534no—
1540C2×#121C2×D5311yescharacteristic
1541#520—531no—
1542#520—534no—
1543#520—534no—
1544#520—534no—
1545#520—531no—
1546#520—531no—
1547#520C2×D5311yescharacteristic
1548#519—531no—
1549#519—531no—
1550#519—534no—
1551#518—531no—
1552#518C2×D5311yescharacteristic
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—534no—
1571C2×#41—531no—
1572C2×#41C22×D5311yescharacteristic
1573C2×#41C22×D5314yes—
1574C22×Q8—531no—
1575C22×Q8—532no—
1576C22×Q8—532no—
1577C22×Q8—534no—
1578C22×D4C22×D5311yescharacteristic
1579C22×D4C22×D5312yes—
1580C23×C4—532no—
1581C23×C4—531no—
1582C23×C4—531no—
1583C23×C4C22×D5311yescharacteristic
1584C4⋊Q8—531no—
1585C4⋊Q8—532no—
1586C4⋊Q8—534no—
1587C4⋊Q8—534no—
1588C4⋊Q8—534no—
1589C4⋊Q8—534no—
1590C4⋊Q8—532no—
1591C4⋊Q8—531no—
1592C4⋊Q8—531no—
1593C4⋊Q8—532no—
1594C4⋊Q8—531no—
1595C4⋊Q8—531no—
1596C4⋊Q8—531no—
1597C4⋊Q8—531no—
1598C4⋊Q8—531no—
1599C4⋊Q8—531no—
1600C4⋊Q8—532no—
1601C4⋊Q8—532no—
1602C4⋊Q8—531no—
1603C4⋊Q8—531no—
1604C4⋊Q8—532no—
1605C4⋊Q8—534no—
1606C4⋊Q8—532no—
1607C4⋊Q8—532no—
1608C4⋊Q8—532no—
1609C4⋊Q8—534no—
1610C4⋊Q8—534no—
1611C4⋊Q8—534no—
1612C4⋊Q8—534no—
1613C4⋊Q8—532no—
1614C4⋊Q8—532no—
1615C4⋊Q8—532no—
1616C4⋊Q8—534no—
1617C4⋊Q8C22×D5312yes—
1618C4⋊Q8C22×D5312yes—
1619#127—531no—
1620#127—532no—
1621#127C22×D5312yes—
1622#126—532no—
1623#126—532no—
1624#126—534no—
1625#126—534no—
1626#126—534no—
1627#126—534no—
1628#126—534no—
1629#126—534no—
1630#126—532no—
1631#126—532no—
1632#126—534no—
1633#126—534no—
1634#126—534no—
1635#126—534no—
1636#126—534no—
1637#126—534no—
1638#126—534no—
1639#126—534no—
1640#126—534no—
1641#126—534no—
1642#126—534no—
1643#126—534no—
1644#126—534no—
1645#126—534no—
1646#126—534no—
1647#126—534no—
1648#126—534no—
1649#126—534no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126C22×D5314yes—
1655#126C22×D5314yes—
1656#125—531no—
1657#125—532no—
1658#125—531no—
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—534no—
1698#125—534no—
1699#125—534no—
1700#125—532no—
1701#125—532no—
1702#125—534no—
1703#125—534no—
1704#125—534no—
1705#125C22×D5312yes—
1706#125C22×D5312yes—
1707#124—531no—
1708#124—532no—
1709#124—532no—
1710#124—532no—
1711#124—532no—
1712#124—531no—
1713#124—532no—
1714#124—532no—
1715#124—534no—
1716#124—534no—
1717#124—534no—
1718#124—534no—
1719#124—534no—
1720#124—532no—
1721#124—532no—
1722#124—534no—
1723#124—534no—
1724#124—534no—
1725#124—534no—
1726#124—534no—
1727#124—534no—
1728#124—532no—
1729#124C22×D5312yes—
1730#124C22×D5314yes—
1731#124C22×D5314yes—
1732#123—534no—
1733#123—534no—
1734#123—534no—
1735#123—534no—
1736#123—532no—
1737#123—532no—
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—532no—
1750#123—534no—
1751#123—534no—
1752#123—534no—
1753#123—534no—
1754#123—532no—
1755#123—532no—
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#123C22×D5312yes—
1766#123C22×D5314yes—
1767#123C22×D5314yes—
1768#123C22×D5314yes—
1769#123C22×D5314yes—
1770C22⋊Q8—534no—
1771C22⋊Q8—534no—
1772C22⋊Q8—532no—
1773C22⋊Q8—532no—
1774C22⋊Q8—532no—
1775C22⋊Q8—532no—
1776C22⋊Q8—531no—
1777C22⋊Q8—531no—
1778C22⋊Q8—532no—
1779C22⋊Q8—532no—
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—532no—
1792C22⋊Q8—532no—
1793C22⋊Q8—534no—
1794C22⋊Q8—534no—
1795C22⋊Q8—534no—
1796C22⋊Q8—534no—
1797C22⋊Q8—534no—
1798C22⋊Q8—534no—
1799C22⋊Q8—532no—
1800C22⋊Q8—532no—
1801C22⋊Q8—532no—
1802C22⋊Q8—532no—
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—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—532no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—532no—
1823C22⋊Q8—532no—
1824C22⋊Q8—532no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8—534no—
1834C22⋊Q8—534no—
1835C22⋊Q8—534no—
1836C22⋊Q8—534no—
1837C22⋊Q8—534no—
1838C22⋊Q8—534no—
1839C22⋊Q8C22×D5311yescharacteristic
1840C22⋊Q8C22×D5311yescharacteristic
1841C22⋊Q8C22×D5314yes—
1842C22⋊Q8C22×D5314yes—
1843#121—532no—
1844#121—532no—
1845#121—532no—
1846#121—532no—
1847#121—534no—
1848#121—532no—
1849#121—532no—
1850#121—534no—
1851#121—534no—
1852#121—534no—
1853#121—534no—
1854#121—534no—
1855#121—531no—
1856#121—531no—
1857#121C22×D5312yes—
1858#121C22×D5312yes—
1859#121C22×D5312yes—
1860#121C22×D5312yes—
1861#121C22×D5311yescharacteristic
1862#121C22×D5311yescharacteristic
1863#121C22×D5312yes—
1864#121C22×D5312yes—
1865#121C22×D5314yes—
1866#121C22×D5314yes—
1867#121C22×D5314yes—
1868#120—532no—
1869#120—534no—
1870#120C22×D5312yes—
1871#120C22×D5314yes—
1872C4×Q8—531no—
1873C4×Q8—531no—
1874C4×Q8—534no—
1875C4×Q8—532no—
1876C4×Q8—534no—
1877C4×Q8—532no—
1878C4×Q8—532no—
1879C4×Q8—532no—
1880C4×Q8—532no—
1881C4×Q8—532no—
1882C4×Q8—532no—
1883C4×Q8—531no—
1884C4×Q8—531no—
1885C4×Q8—532no—
1886C4×Q8—532no—
1887C4×Q8—532no—
1888C4×Q8—534no—
1889C4×Q8—534no—
1890C4×Q8—534no—
1891C4×Q8—532no—
1892C4×Q8—532no—
1893C4×Q8—534no—
1894C4×Q8—534no—
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—532no—
1911C4×Q8—532no—
1912C4×Q8—532no—
1913C4×Q8—534no—
1914C4×Q8—532no—
1915C4×Q8—532no—
1916C4×Q8—532no—
1917C4×Q8—534no—
1918C4×Q8—534no—
1919C4×Q8—532no—
1920C4×Q8—534no—
1921C4×Q8—532no—
1922C4×Q8C22×D5312yes—
1923C4×D4—534no—
1924C4×D4—534no—
1925C4×D4—534no—
1926C4×D4—534no—
1927C4×D4—532no—
1928C4×D4—532no—
1929C4×D4—532no—
1930C4×D4—532no—
1931C4×D4—532no—
1932C4×D4—532no—
1933C4×D4—532no—
1934C4×D4—532no—
1935C4×D4—531no—
1936C4×D4—531no—
1937C4×D4—532no—
1938C4×D4—532no—
1939C4×D4—532no—
1940C4×D4—532no—
1941C4×D4—534no—
1942C4×D4—534no—
1943C4×D4—534no—
1944C4×D4—534no—
1945C4×D4—534no—
1946C4×D4—534no—
1947C4×D4—532no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—534no—
1953C4×D4—534no—
1954C4×D4—534no—
1955C4×D4—534no—
1956C4×D4—534no—
1957C4×D4—531no—
1958C4×D4—531no—
1959C4×D4—532no—
1960C4×D4—532no—
1961C4×D4—532no—
1962C4×D4—532no—
1963C4×D4—532no—
1964C4×D4—532no—
1965C4×D4—532no—
1966C4×D4—534no—
1967C4×D4—534no—
1968C4×D4—534no—
1969C4×D4—532no—
1970C4×D4C22×D5312yes—
1971C4×D4C22×D5312yes—
1972C4×D4C22×D5312yes—
1973C4×D4C22×D5312yes—
1974C4×D4C22×D5312yes—
1975C4×D4C22×D5312yes—
1976C4×D4C22×D5314yes—
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—534no—
1990#117—534no—
1991#117—534no—
1992#117—532no—
1993#117—532no—
1994#117—532no—
1995#117—532no—
1996#117—532no—
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—534no—
2006#117—534no—
2007#117—534no—
2008#117—534no—
2009#117—534no—
2010#117—534no—
2011#117—534no—
2012#117—534no—
2013#117—532no—
2014#117—534no—
2015#117—534no—
2016#117C22×D5311yescharacteristic
2017#117C22×D5311yescharacteristic
2018#117C22×D5312yes—
2019#117C22×D5312yes—
2020#117C22×D5311yescharacteristic
2021#117C22×D5311yescharacteristic
2022#117C22×D5311yescharacteristic
2023#117C22×D5314yes—
2024#117C22×D5312yes—
2025C2×C4⋊C4—532no—
2026C2×C4⋊C4—532no—
2027C2×C4⋊C4—531no—
2028C2×C4⋊C4—531no—
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—532no—
2038C2×C4⋊C4—534no—
2039C2×C4⋊C4—534no—
2040C2×C4⋊C4—534no—
2041C2×C4⋊C4—534no—
2042C2×C4⋊C4—534no—
2043C2×C4⋊C4—532no—
2044C2×C4⋊C4—534no—
2045C2×C4⋊C4—534no—
2046C2×C4⋊C4—532no—
2047C2×C4⋊C4—532no—
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⋊C4C22×D5312yes—
2059C2×C22⋊C4C22×D5312yes—
2060C2×C22⋊C4C22×D5314yes—
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—
2078C24C23×D5311yescharacteristic
2079C24C23×D5312yes—
2080#41—24no—
2081#41—48no—
2082#41—1064no—
2083#41—2124no—
2084#41—2128no—
2085#41—2128no—
2086#41—2124no—
2087C2×Q8—532no—
2088C2×Q8—532no—
2089C2×Q8—531no—
2090C2×Q8—532no—
2091C2×Q8—532no—
2092C2×Q8—532no—
2093C2×Q8—532no—
2094C2×Q8—534no—
2095C2×Q8—534no—
2096C2×Q8—532no—
2097C2×Q8—532no—
2098C2×Q8—532no—
2099C2×Q8—532no—
2100C2×Q8—532no—
2101C2×Q8—534no—
2102C2×Q8—532no—
2103C2×Q8—1064no—
2104C2×Q8—2124no—
2105C2×Q8—2124no—
2106C2×Q8—2128no—
2107C2×Q8C23×D5311yescharacteristic
2108C2×Q8C23×D5314yes—
2109C2×D4—24no—
2110C2×D4—44no—
2111C2×D4—532no—
2112C2×D4—532no—
2113C2×D4—532no—
2114C2×D4—532no—
2115C2×D4—534no—
2116C2×D4—534no—
2117C2×D4—532no—
2118C2×D4—531no—
2119C2×D4C23×D5312yes—
2120C2×D4C23×D5312yes—
2121C2×D4C23×D5312yes—
2122C2×D4C23×D5311yescharacteristic
2123C2×D4C23×D5312yes—
2124C2×D4C23×D5314yes—
2125C2×D4C23×D5314yes—
2126C2×D4C23×D5314yes—
2127C2×D4C23×D5312yes—
2128C2×D4C23×D5314yes—
2129C22×C4—24no—
2130C22×C4—531no—
2131C22×C4—531no—
2132C22×C4—531no—
2133C22×C4—531no—
2134C22×C4—531no—
2135C22×C4—532no—
2136C22×C4—532no—
2137C22×C4—534no—
2138C22×C4—531no—
2139C22×C4—531no—
2140C22×C4—531no—
2141C22×C4—531no—
2142C22×C4—531no—
2143C22×C4—531no—
2144C22×C4—531no—
2145C22×C4—532no—
2146C22×C4—532no—
2147C22×C4—532no—
2148C22×C4—532no—
2149C22×C4—534no—
2150C22×C4—534no—
2151C22×C4—534no—
2152C22×C4—534no—
2153C22×C4—532no—
2154C22×C4—532no—
2155C22×C4—532no—
2156C22×C4—534no—
2157C22×C4—534no—
2158C22×C4—2122no—
2159C22×C4—2124no—
2160C22×C4—2122no—
2161C22×C4C23×D5311yescharacteristic
2162C22×C4C23×D5311yescharacteristic
2163C22×C4C23×D5311yescharacteristic
2164C22×C4C23×D5311yescharacteristic
2165C22×C4C23×D5311yescharacteristic
2166C22×C4C23×D5312yes—
2167C22×C4C23×D5312yes—
2168C22×C4C23×D5312yes—
2169C22×C4C23×D5312yes—
2170C22×C4C23×D5314yes—
2171C22×C4C23×D5314yes—
2172C22×C4C23×D5314yes—
2173C22×C4C23×D5311yescharacteristic
2174C4⋊C4—531no—
2175C4⋊C4—532no—
2176C4⋊C4—531no—
2177C4⋊C4—532no—
2178C4⋊C4—532no—
2179C4⋊C4—534no—
2180C4⋊C4—532no—
2181C4⋊C4—532no—
2182C4⋊C4—532no—
2183C4⋊C4—532no—
2184C4⋊C4—534no—
2185C4⋊C4—532no—
2186C4⋊C4—532no—
2187C4⋊C4—532no—
2188C4⋊C4—532no—
2189C4⋊C4—534no—
2190C4⋊C4—534no—
2191C4⋊C4—534no—
2192C4⋊C4—534no—
2193C4⋊C4—531no—
2194C4⋊C4—531no—
2195C4⋊C4—534no—
2196C4⋊C4—532no—
2197C4⋊C4—532no—
2198C4⋊C4—532no—
2199C4⋊C4—534no—
2200C4⋊C4—534no—
2201C4⋊C4—532no—
2202C4⋊C4—532no—
2203C4⋊C4—532no—
2204C4⋊C4—532no—
2205C4⋊C4—532no—
2206C4⋊C4—532no—
2207C4⋊C4—532no—
2208C4⋊C4—534no—
2209C4⋊C4—534no—
2210C4⋊C4—534no—
2211C4⋊C4—534no—
2212C4⋊C4—534no—
2213C4⋊C4—534no—
2214C4⋊C4—534no—
2215C4⋊C4—534no—
2216C4⋊C4—532no—
2217C4⋊C4—532no—
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—534no—
2227C4⋊C4—534no—
2228C4⋊C4—532no—
2229C4⋊C4—532no—
2230C4⋊C4—534no—
2231C4⋊C4—534no—
2232C4⋊C4—531no—
2233C4⋊C4—531no—
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—532no—
2243C4⋊C4—534no—
2244C4⋊C4—534no—
2245C4⋊C4—534no—
2246C4⋊C4—534no—
2247C4⋊C4—534no—
2248C4⋊C4—534no—
2249C4⋊C4—534no—
2250C4⋊C4C23×D5311yescharacteristic
2251C4⋊C4C23×D5312yes—
2252C4⋊C4C23×D5314yes—
2253C4⋊C4C23×D5314yes—
2254C4⋊C4C23×D5311yescharacteristic
2255C4⋊C4C23×D5311yescharacteristic
2256C4⋊C4C23×D5311yescharacteristic
2257C4⋊C4C23×D5312yes—
2258C4⋊C4C23×D5312yes—
2259C4⋊C4C23×D5312yes—
2260C4⋊C4C23×D5314yes—
2261C4⋊C4C23×D5312yes—
2262C4⋊C4C23×D5312yes—
2263C4⋊C4C23×D5311yescharacteristic
2264C4⋊C4C23×D5311yescharacteristic
2265C4⋊C4C23×D5314yes—
2266C22⋊C4—532no—
2267C22⋊C4—532no—
2268C22⋊C4—532no—
2269C22⋊C4—534no—
2270C22⋊C4—534no—
2271C22⋊C4—534no—
2272C22⋊C4—532no—
2273C22⋊C4—532no—
2274C22⋊C4—534no—
2275C22⋊C4—534no—
2276C22⋊C4—534no—
2277C22⋊C4—534no—
2278C22⋊C4—534no—
2279C22⋊C4—534no—
2280C22⋊C4—534no—
2281C22⋊C4—532no—
2282C22⋊C4—532no—
2283C22⋊C4—534no—
2284C22⋊C4—534no—
2285C22⋊C4—532no—
2286C22⋊C4—534no—
2287C22⋊C4—532no—
2288C22⋊C4—532no—
2289C22⋊C4—532no—
2290C22⋊C4—534no—
2291C22⋊C4—534no—
2292C22⋊C4—532no—
2293C22⋊C4—532no—
2294C22⋊C4—534no—
2295C22⋊C4—534no—
2296C22⋊C4—532no—
2297C22⋊C4—532no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—534no—
2301C22⋊C4—534no—
2302C22⋊C4C23×D5312yes—
2303C22⋊C4C23×D5312yes—
2304C22⋊C4C23×D5314yes—
2305C22⋊C4C23×D5312yes—
2306C22⋊C4C23×D5314yes—
2307C22⋊C4C23×D5312yes—
2308C22⋊C4C23×D5312yes—
2309C22⋊C4C23×D5314yes—
2310C22⋊C4C23×D5314yes—
2311C22⋊C4C23×D5312yes—
2312C22⋊C4C23×D5312yes—
2313C22⋊C4C23×D5314yes—
2314C22⋊C4C23×D5314yes—
2315C22⋊C4C23×D5312yes—
2316C22⋊C4C23×D5312yes—
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—534no—
2335C42—532no—
2336C42—532no—
2337C42—532no—
2338C42—532no—
2339C42—532no—
2340C42—532no—
2341C42—532no—
2342C42—534no—
2343C42—532no—
2344C42—532no—
2345C42—534no—
2346C42—534no—
2347C42—534no—
2348C42—534no—
2349C42—534no—
2350C42—534no—
2351C42—534no—
2352C42C23×D5312yes—
2353C42C23×D5312yes—
2354C42C23×D5312yes—
2355C42C23×D5312yes—
2356C42C23×D5312yes—
2357C42C23×D5314yes—
2358C23—22no—
2359C23—22no—
2360C23—24no—
2361C23—41no—
2362C23—42no—
2363C23—42no—
2364C23—532no—
2365C23C24×D5311yescharacteristic
2366C23C24×D5314yes—
2367C23C24×D5312yes—
2368C23C24×D5311yescharacteristic
2369C23C24×D5311yescharacteristic
2370Q8—22no—
2371Q8—44no—
2372Q8—1064no—
2373Q8—1064no—
2374Q8—1064no—
2375Q8—1064no—
2376Q8—1064no—
2377Q8—1062no—
2378Q8—2124no—
2379Q8—2122no—
2380Q8—2124no—
2381Q8—2122no—
2382Q8—2122no—
2383Q8—2122no—
2384Q8—2122no—
2385Q8—2122no—
2386Q8—2124no—
2387Q8—2122no—
2388D4—24no—
2389D4—28no—
2390D4—24no—
2391D4—24no—
2392D4—24no—
2393D4—22no—
2394D4—44no—
2395D4—44no—
2396D4—42no—
2397D4—44no—
2398D4—1064no—
2399D4—1064no—
2400D4—1064no—
2401D4—1062no—
2402D4—2124no—
2403D4—2122no—
2404D4—2122no—
2405D4—2124no—
2406C2×C4—22no—
2407C2×C4—24no—
2408C2×C4—22no—
2409C2×C4—22no—
2410C2×C4—22no—
2411C2×C4—22no—
2412C2×C4—24no—
2413C2×C4—42no—
2414C2×C4—44no—
2415C2×C4—42no—
2416C2×C4—44no—
2417C2×C4—44no—
2418C2×C4—531no—
2419C2×C4—531no—
2420C2×C4—531no—
2421C2×C4—531no—
2422C2×C4—534no—
2423C2×C4—532no—
2424C2×C4—532no—
2425C2×C4—531no—
2426C2×C4—532no—
2427C2×C4—531no—
2428C2×C4—531no—
2429C2×C4—532no—
2430C2×C4—532no—
2431C2×C4—532no—
2432C2×C4—531no—
2433C2×C4—534no—
2434C2×C4—532no—
2435C2×C4—1062no—
2436C2×C4—1062no—
2437C2×C4—1068no—
2438C2×C4—1062no—
2439C2×C4—1064no—
2440C2×C4—1062no—
2441C2×C4—1062no—
2442C2×C4—1064no—
2443C2×C4—1064no—
2444C2×C4—2122no—
2445C2×C4—2124no—
2446C2×C4—2124no—
2447C2×C4—2122no—
2448C2×C4—2121no—
2449C2×C4—2124no—
2450C2×C4—2121no—
2451C2×C4—2121no—
2452C2×C4—2122no—
2453C2×C4—2121no—
2454C2×C4—2121no—
2455C2×C4—2121no—
2456C2×C4—2121no—
2457C2×C4—2122no—
2458C2×C4—2124no—
2459C2×C4—2122no—
2460C2×C4—2124no—
2461C2×C4—2122no—
2462C2×C4—2124no—
2463C2×C4#1313326414yes—
2464C2×C4C24×D5311yescharacteristic
2465C2×C4C24×D5312yes—
2466C2×C4C24×D5312yes—
2467C2×C4C24×D5311yescharacteristic
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—24no—
2483C22—24no—
2484C22—21no—
2485C22—22no—
2486C22—22no—
2487C22—24no—
2488C22—21no—
2489C22—44no—
2490C22—84no—
2491C22—1062no—
2492C22—1062no—
2493C22—1062no—
2494C22C2×#1313326412yes—
2495C22#1681145812yes—
2496C22C25×D5311yescharacteristic
2497C4—21no—
2498C4—21no—
2499C4—22no—
2500C4—22no—
2501C4—22no—
2502C4—22no—
2503C4—22no—
2504C4—22no—
2505C4—24no—
2506C4—22no—
2507C4—532no—
2508C4—1062no—
2509C4—1064no—
2510C4—1061no—
2511C4—1061no—
2512C4—1064no—
2513C4—1061no—
2514C4—1062no—
2515C4—1062no—
2516C4—1062no—
2517C4—1061no—
2518C4—1062no—
2519C4—1061no—
2520C4—1061no—
2521C4—1061no—
2522C4—1062no—
2523C4—1062no—
2524C4C2×#1313326412yes—
2525C4C2×#1313326412yes—
2526C2—22no—
2527C2—22no—
2528C2—41no—
2529C2—44no—
2530C2—42no—
2531C2—2122no—
2532C2C22×#1313326411yescharacteristic
2533C2#585×D5311yescharacteristic
2534C2C2×#1681145811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3494C2
hypercenter#3494D53
hypocenterC53#62831
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3494

Complements

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

NH ≅ G/Ntype
1. #20289365C2semidirect
2. #20289361C2semidirect
3. #20289327C2semidirect
4. #20289220C2semidirect
5. #20289214C2semidirect
6. #20289201C2semidirect
7. #20289176C2semidirect
8. #20289154C2semidirect
9. #20289051C2semidirect
10. #20288912C2semidirect
11. #20288809C2semidirect
12. #20288792C2semidirect
13. #20288751C2semidirect
14. #20288731C2semidirect
15. #20288686C2semidirect
16. #20288686C2semidirect
17. #20288684C2semidirect
18. #20288610C2semidirect
19. #20288606C2semidirect
20. #20288577C2semidirect
21. #20288573C2semidirect
22. #20288571C2semidirect
23. #20288566C2semidirect
24. #20288538C2semidirect
25. #20288537C2semidirect
26. #20288523C2semidirect
27. #20288513C2semidirect
28. #20288469C2semidirect
29. #20288467C2semidirect
30. #20288454C2semidirect
31. #20288444C2semidirect
32. #20288007C2semidirect
33. C2×#16811176C2semidirect
34. C2×#16811154C2semidirect
35. C53×#3494C2semidirect
36. #16811376C22semidirect
37. #16811376C22semidirect
38. #16811376C22semidirect
39. #16811375C22semidirect
40. #16811374C22semidirect
41. #16811373C22semidirect
42. #16811368C22semidirect
43. #16811368C22semidirect
44. #16811359C22semidirect
45. #16811359C22semidirect
46. #16811359C22semidirect
47. #16811356C22semidirect
48. #16811356C22semidirect
49. #16811356C22semidirect
50. #16811355C22semidirect
51. #16811353C22semidirect
52. #16811353C22semidirect
53. #16811352C22semidirect
54. #16811351C22semidirect
55. #16811350C22semidirect
56. #16811350C22semidirect
57. #16811350C22semidirect
58. #16811350C22semidirect
59. #16811350C22semidirect
60. #16811349C22semidirect
61. #16811348C22semidirect
62. #16811348C22semidirect
63. #16811348C22semidirect
64. #16811345C22semidirect
65. #16811343C22semidirect
66. #16811343C22semidirect
67. #16811343C22semidirect
68. #16811343C22semidirect
69. #16811342C22semidirect
70. #16811342C22semidirect
71. #16811342C22semidirect
72. #16811342C22semidirect
73. #16811342C22semidirect
74. #16811342C22semidirect
75. #16811341C22semidirect
76. #16811341C22semidirect
77. #16811341C22semidirect
78. #16811340C22semidirect
80. #16811337C22semidirect
81. #16811334C22semidirect
83. #16811332C22semidirect
84. #16811332C22semidirect
85. #16811332C22semidirect
86. #16811332C22semidirect
87. #16811332C22semidirect
90. #16811330C22semidirect
91. #16811330C22semidirect
92. #16811330C22semidirect
93. #16811330C22semidirect
94. #16811329C22semidirect
95. #16811328C22semidirect
96. #16811328C22semidirect
99. #16811325C22semidirect
101. #16811320C22semidirect
102. #16811315C22semidirect
103. #16811313C22semidirect
104. #16811313C22semidirect
105. #16811313C22semidirect
106. #16811313C22semidirect
107. #16811313C22semidirect
108. #16811312C22semidirect
109. #16811312C22semidirect
111. #16811310C22semidirect
112. #16811310C22semidirect
113. #16811310C22semidirect
114. #16811310C22semidirect
115. #16811310C22semidirect
116. #16811309C22semidirect
117. #16811309C22semidirect
118. #16811308C22semidirect
119. #16811308C22semidirect
121. #16811306C22semidirect
129. #16811293C22semidirect
130. D4×Dic106C22semidirect
131. D4×Dic106C22semidirect
132. D4×Dic106C22semidirect
133. #16811279C22semidirect
134. #16811279C22semidirect
136. #16811273C22semidirect
137. #16811273C22semidirect
138. #16811273C22semidirect
139. #16811272C22semidirect
140. #16811272C22semidirect
143. #16811254C22semidirect
144. #16811253C22semidirect
146. #16811252C22semidirect
149. #16811251C22semidirect
150. #16811250C22semidirect
152. #16811244C22semidirect
153. #16811242C22semidirect
154. #16811241C22semidirect
156. #16811240C22semidirect
157. #16811240C22semidirect
158. #16811240C22semidirect
159. #16811240C22semidirect
160. #16811240C22semidirect
161. #16811238C22semidirect
162. #16811238C22semidirect
163. #16811238C22semidirect
164. #16811237C22semidirect
165. #16811237C22semidirect
166. #16811237C22semidirect
167. #16811235C22semidirect
168. #16811235C22semidirect
169. #16811233C22semidirect
170. #16811233C22semidirect
171. #16811230C22semidirect
172. #16811230C22semidirect
173. #16811230C22semidirect
174. #16811230C22semidirect
176. #16811218C22semidirect
177. #16811218C22semidirect
178. #16811218C22semidirect
179. #16811218C22semidirect
180. #16811217C22semidirect
181. #16811217C22semidirect
182. #16811217C22semidirect
183. #16811216C22semidirect
184. #16811216C22semidirect
186. #16811215C22semidirect
189. #16811195C22semidirect
190. #16811195C22semidirect
192. #16811194C22semidirect
194. #16811180C22semidirect
195. #16811178C22semidirect
203. #16811176C22semidirect
204. #16811176C22semidirect
205. #16811176C22semidirect
206. #16811176C22semidirect
207. #16811176C22semidirect
208. #16811176C22semidirect
209. #16811176C22semidirect
211. #16811175C22semidirect
212. #16811175C22semidirect
213. #16811175C22semidirect
216. #16811168C22semidirect
217. #16811168C22semidirect
218. C2×#13133216C22semidirect
219. C2×#13133216C22semidirect
220. #16811159C22semidirect
221. #16811159C22semidirect
222. #16811157C22semidirect
223. #16811155C22semidirect
224. #16811155C22semidirect
234. #16811154C22semidirect
235. #16811154C22semidirect
236. #16811154C22semidirect
237. #16811154C22semidirect
238. #16811154C22semidirect
240. #16811153C22semidirect
241. #16811153C22semidirect
246. C2×#13133208C22semidirect
247. C2×#13133208C22semidirect
248. C2×#13133208C22semidirect
249. #125×D53C22semidirect
261. #16811106C22semidirect
264. #16811102C22semidirect
265. #16811102C22semidirect
268. #16811100C22semidirect
272. C4×#11719947C22semidirect
273. C4×#11719947C22semidirect
274. C2×C4×Dic106C22semidirect
275. C2×C4×Dic106C22semidirect
1290. #3494D53semidirect
1566. C53#62831semidirect

Maximal subgroups

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

subgroupindex
#202893652
#202893612
#202893272
#202892202
#202892142
#202892012
#202891762
#202891542
#202890512
#202889122
#202888092
#202887922
#202887512
#202887312
#202886862
#202886842
#202886102
#202886062
#202885772
#202885732
#202885712
#202885662
#202885382
#202885372
#202885232
#202885132
#202884692
#202884672
#202884542
#202884442
#202880072
C2×#168111762
C2×#168111542
C53×#34942
#6283153