Finite Group Databasebeta

← #28293049

Subgroups — #28293049

Order 13568.

6428 conjugacy classes of subgroups.

The subgroup lattice has 2502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289313C214yesmaximal, complemented
2#20289312C214yesmaximal, complemented
3#20289207C211yesmaximal, characteristic, complemented
4#20289207C211yesmaximal, characteristic, complemented
5#20289202C212yesmaximal, complemented
6#20289196C214yesmaximal, complemented
7#20289195C212yesmaximal, complemented
8#20289128C211yesmaximal, characteristic, complemented
9#20289122C211yesmaximal, characteristic, complemented
10#20288961C212yesmaximal, complemented
11#20288956C212yesmaximal, complemented
12#20288811C211yesmaximal, characteristic, complemented
13#20288809C211yesmaximal, characteristic, complemented
14#20288807C212yesmaximal, complemented
15#20288805C212yesmaximal, complemented
16#20288803C211yesmaximal, characteristic, complemented
17#20288598C211yesmaximal, characteristic, complemented
18#20288597C212yesmaximal, complemented
19#20288596C212yesmaximal, complemented
20#20288595C211yesmaximal, characteristic, complemented
21#20288593C212yesmaximal, complemented
22#20288576C212yesmaximal, complemented
23#20288571C212yesmaximal, complemented
24#20288532C211yesmaximal, characteristic, complemented
25#20288526C211yesmaximal, characteristic, complemented
26#20288526C212yesmaximal, complemented
27#20288522C212yesmaximal, complemented
28#20288520C212yesmaximal, complemented
29#20288462C212yesmaximal, complemented
30#20288458C214yesmaximal, complemented
31#20288455C212yesmaximal, complemented
32#20288009C211yesmaximal, characteristic
33C2×#16811177C211yesmaximal, characteristic, complemented
34#533×D53C211yesmaximal, characteristic, complemented
35C53×#3523C211yesmaximal, characteristic, complemented
36C53⋊#564C2214yescomplemented
37C53⋊#564C2214yescomplemented
38#16811377C2214yes—
39#16811375C2214yes—
40#16811375C2214yescomplemented
41#16811374C2214yes—
42#16811374C2214yescomplemented
43#16811372C2214yes—
44#16811356C2212yescomplemented
45#16811355C2212yescomplemented
46Q8×Dic106C2212yescomplemented
47Q8×Dic106C2212yescomplemented
48#16811353C2212yescomplemented
49#16811353C2212yescomplemented
50#16811353C2214yescomplemented
51#16811352C2211yescharacteristic, complemented
52#16811352C2211yescharacteristic, complemented
53#16811351C2214yescomplemented
54#16811351C2214yescomplemented
55#16811351C2212yescomplemented
56#16811351C2212yescomplemented
57#16811351C2214yescomplemented
58#16811351C2212yescomplemented
59#16811351C2212yescomplemented
60#16811351C2211yescharacteristic, complemented
61#16811351C2211yescharacteristic, complemented
62#16811350C2214yescomplemented
63#16811350C2214yescomplemented
64#16811350C2214yescomplemented
65#16811350C2212yescomplemented
66#16811350C2212yescomplemented
67#16811350C2214yescomplemented
68#16811350C2212yescomplemented
69#16811349C2212yescomplemented
70#16811349C2212yescomplemented
71#16811349C2212yescomplemented
72#16811348C2212yescomplemented
73#16811348C2212yescomplemented
74#16811348C2211yescharacteristic, complemented
75#16811348C2212yescomplemented
76#16811348C2211yescharacteristic, complemented
77#16811347C2211yescharacteristic, complemented
78#16811346C2212yescomplemented
79#16811346C2211yescharacteristic, complemented
80#16811345C2214yes—
81#16811345C2214yes—
82#16811345C2212yescomplemented
83#16811345C2212yescomplemented
84#16811344C2212yescomplemented
85#16811343C2211yescharacteristic, complemented
86#16811342C2212yescomplemented
87#16811342C2212yescomplemented
88#16811341C2214yescomplemented
89#16811341C2212yescomplemented
90#16811340C2214yes—
91#16811340C2214yes—
92#16811340C2214yescomplemented
93#16811340C2214yescomplemented
94#16811332C2214yes—
95#16811332C2212yescomplemented
96#16811329C2214yes—
97#16811329C2212yescomplemented
98#16811327C2214yes—
99#16811327C2214yes—
100#16811327C2214yescomplemented
101#16811315C2212yes—
102#16811314C2214yes—
103#16811314C2212yes—
104#16811313C2212yes—
105#16811312C2214yes—
106#16811312C2212yes—
107#16811311C2212yes—
108#16811310C2214yes—
109#16811310C2214yes—
110#16811309C2214yes—
111#16811309C2214yes—
112#16811309C2214yescomplemented
113#16811309C2214yescomplemented
114#16811308C2214yes—
115#16811308C2212yes—
116#16811307C2212yes—
117#16811306C2214yes—
118#16811306C2214yes—
119#16811306C2214yes—
120#16811306C2214yes—
121#16811306C2214yescomplemented
122#16811306C2214yescomplemented
123#16811305C2214yes—
124#16811305C2214yes—
125#16811305C2214yes—
126#16811305C2214yes—
127#16811302C2214yes—
128#16811300C2214yes—
129#16811297C2214yes—
130#16811296C2214yes—
131Q8×D212C2212yes—
132Q8×D212C2211yescharacteristic, complemented
133D4×Dic106C2212yes—
134D4×Dic106C2211yescharacteristic, complemented
135#16811288C2212yes—
136#16811288C2211yescharacteristic, complemented
137Q8×C22⋊D53C2212yes—
138Q8×C22⋊D53C2212yes—
139Q8×C22⋊D53C2212yescomplemented
140#16811286C2212yes—
141#16811286C2212yes—
142#16811286C2212yescomplemented
143#16811253C2212yes—
144#16811253C2214yes—
145#16811253C2214yescomplemented
146#16811252C2214yes—
147#16811252C2214yes—
148#16811252C2214yescomplemented
149#16811252C2214yescomplemented
150#16811251C2214yes—
151#16811250C2212yes—
152#16811250C2214yes—
153#16811250C2214yescomplemented
154#16811247C2212yes—
155#16811245C2212yes—
156#16811243C2214yes—
157#16811242C2212yes—
158#16811239C2214yes—
159#16811238C2212yes—
160#16811236C2212yes—
161#16811236C2212yes—
162#16811235C2214yescomplemented
163#16811235C2212yescomplemented
164#16811234C2212yes—
165#16811234C2212yes—
166#16811232C2214yes—
167#16811232C2214yes—
168#16811232C2214yescomplemented
169#16811232C2214yescomplemented
170#16811232C2214yescomplemented
171#16811232C2214yescomplemented
172#16811231C2212yes—
173#16811231C2212yes—
174#16811231C2212yes—
175#16811231C2212yes—
176#16811231C2214yescomplemented
177#16811231C2214yescomplemented
178#16811231C2212yescomplemented
179#16811231C2212yescomplemented
180#16811230C2214yescomplemented
181#16811230C2214yescomplemented
182#16811230C2214yescomplemented
183#16811230C2214yescomplemented
184#16811219C2214yes—
185#16811217C2214yes—
186#16811215C2214yes—
187#16811214C2214yes—
188#16811199C2212yes—
189#16811198C2212yes—
190#16811197C2212yes—
191#16811196C2212yes—
192#16811196C2212yes—
193#16811195C2214yes—
194#16811193C2212yes—
195#16811180C2211yescharacteristic
196#16811180C2212yes—
197#16811179C2212yes—
198#16811179C2211yescharacteristic
199#16811179C2214yes—
200#16811179C2212yescomplemented
201#16811178C2211yescharacteristic
202#16811178C2211yescharacteristic
203#16811177C2212yes—
204#16811177C2212yes—
205#16811177C2212yes—
206#16811177C2211yescharacteristic
207#16811177C2211yescharacteristic
208#16811177C2212yes—
209#16811177C2211yescharacteristic
210#16811177C2211yescharacteristic
211#16811177C2211yescharacteristic
212#16811177C2211yescharacteristic
213#16811177C2211yescharacteristic
214#16811177C2211yescharacteristic
215#16811177C2212yes—
216#16811177C2212yes—
217#16811177C2211yescharacteristic
218#16811177C2214yes—
219#16811177C2212yescomplemented
220#16811177C2212yescomplemented
221#16811176C2212yes—
222#16811176C2212yescomplemented
223#16811175C2212yes—
224#16811175C2212yes—
225#16811175C2211yescharacteristic
226#16811175C2212yes—
227#16811175C2212yes—
228#16811175C2212yescomplemented
229#16811175C2212yescomplemented
230#16811172C2211yescharacteristic
231#16811170C2211yescharacteristic
232#16811168C2211yescharacteristic
233C2×#13133216C2211yescharacteristic
234C2×#13133215C2211yescharacteristic
235C2×#13133215C2212yescomplemented
236C4⋊Q8×D53C2211yescharacteristic
237C4⋊Q8×D53C2211yescharacteristic
238C4⋊Q8×D53C2212yescomplemented
239#16811159C2212yes—
240#16811158C2211yescharacteristic
241#16811157C2211yescharacteristic
242#16811157C2212yes—
243#16811156C2212yes—
244#16811156C2212yes—
245#16811156C2214yes—
246#16811154C2212yes—
247#16811152C2211yescharacteristic
248#16811151C2212yes—
249#16811151C2214yes—
250#16811150C2212yes—
251C2×#13133207C2212yes—
252#125×D53C2212yes—
253#16811136C2211yescharacteristic
254#16811133C2211yescharacteristic
255#16811132C2212yes—
256#16811131C2212yes—
257C2×#13133197C2211yescharacteristic
258C2×#13133195C2212yes—
259C2×#13133193C2211yescharacteristic
260C22⋊Q8×D53C2212yes—
261C22⋊Q8×D53C2212yes—
262#16811105C2212yes—
263#16811102C2214yes—
264#16811102C2212yes—
265#16811100C2214yes—
266#16811100C2212yescomplemented
267#16811099C2212yes—
268#16811099C2212yes—
269#16811099C2212yescomplemented
270#16811099C2212yescomplemented
271C4×#11719949C2211yescharacteristic
272#16811091C2212yes—
273C4×#11719947C2212yes—
274C4×#11719947C2211yescharacteristic
275C2×C4×Dic106C2212yes—
276C2×C4×Dic106C2211yescharacteristic
277C4×Q8×D53C2212yes—
278C4×Q8×D53C2212yes—
279C2×#13133174C2212yes—
280#117×D53C2212yes—
281C2×C42×D53C2211yescharacteristic
282C53×#557C2212yescomplemented
283C53×#557C2211yescharacteristic, complemented
284C53×#557C2211yescharacteristic, complemented
285C53×#556C2212yescomplemented
286C53×#556C2211yescharacteristic, complemented
287C53×#552C2214yes—
288C53×#552C2212yes—
289D4×Q8×C53C2212yes—
290D4×Q8×C53C2211yescharacteristic, complemented
291C53×#541C2214yescomplemented
292C53×#541C2212yescomplemented
293C53×#533C2211yescharacteristic
294C53×#533C2212yes—
295C53×#529C2211yescharacteristic
296C53×#529C2212yes—
297C53×#519C2212yescomplemented
298C2×C4×Q8×C53C2211yescharacteristic
299C2×#11719949C2311yescharacteristic
300C2×#11719945C2312yes—
301C2×#11719947C2312yes—
302C2×#11719947C2311yescharacteristic
303C22×Dic106C2312yes—
304C22×Dic106C2311yescharacteristic
305C22×Dic106C2312yes—
306C2×Q8×D53C2312yes—
307C2×Q8×D53C2312yes—
308C2×Q8×D53C2312yes—
309C2×Q8×D53C2312yes—
310C22×C4×D53C2311yescharacteristic
311C22×C4×D53C2311yescharacteristic
312C22×C4×D53C2311yescharacteristic
313#13133217C2312yes—
314#13133217C2311yescharacteristic
315#13133217C2314yes—
316#13133217C2312yes—
317#13133217C2311yescharacteristic
318#13133217C2312yes—
319#13133217C2314yes—
320#13133216C2314yes—
321#13133216C2314yes—
322#13133216C2314yes—
323#13133216C2314yes—
324#13133216C2312yes—
325#13133216C2314yes—
326#13133216C2312yes—
327#13133216C2314yes—
328#13133216C2312yes—
329#13133216C2314yes—
330#13133216C2312yes—
331#13133216C2314yes—
332#13133216C2311yescharacteristic
333#13133216C2314yes—
334#13133216C2311yescharacteristic
335#13133216C2311yescharacteristic
336#13133216C2314yes—
337#13133216C2314yes—
338#13133216C2311yescharacteristic
339#13133216C2312yes—
340#13133216C2312yes—
341#13133216C2312yes—
342#13133216C2311yescharacteristic
343#13133216C2311yescharacteristic
344#13133216C2312yes—
345#13133215C2312yes—
346#13133215C2311yescharacteristic
347#13133215C2312yes—
348#13133215C2314yes—
349#13133215C2314yes—
350#13133215C2311yescharacteristic
351#13133215C2314yes—
352#13133215C2314yes—
353#13133215C2314yes—
354#13133215C2312yes—
355#13133215C2312yes—
356#13133215C2312yes—
357#13133215C2312yes—
358#13133215C2311yescharacteristic
359#13133215C2314yes—
360#13133215C2312yes—
361#13133215C2311yescharacteristic
362#13133215C2311yescharacteristic
363#13133215C2312yes—
364#13133213C2311yescharacteristic
365#13133212C2314yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133212C2314yes—
369#13133212C2314yes—
370#13133212C2314yes—
371#13133212C2314yes—
372#13133212C2314yes—
373#13133212C2314yes—
374#13133212C2314yes—
375#13133212C2314yes—
376#13133212C2314yes—
377#13133212C2314yes—
378#13133212C2314yes—
379#13133212C2312yes—
380#13133211C2314yes—
381#13133211C2314yes—
382#13133211C2314yes—
383#13133211C2314yes—
384#13133211C2314yes—
385#13133211C2314yes—
386#13133211C2312yes—
387#13133210C2314yes—
388#13133210C2314yes—
389#13133210C2314yes—
390#13133210C2314yes—
391#13133210C2314yes—
392#13133210C2314yes—
393#13133210C2314yes—
394#13133210C2314yes—
395#13133210C2312yes—
396#13133209C2314yes—
397#13133209C2314yes—
398#13133209C2314yes—
399#13133209C2314yes—
400#13133209C2314yes—
401#13133209C2314yes—
402#13133209C2314yes—
403#13133209C2312yes—
404#13133209C2312yes—
405#13133209C2311yescharacteristic
406#13133209C2312yes—
407#13133208C2312yes—
408#13133208C2314yes—
409#13133208C2312yes—
410#13133208C2314yes—
411#13133208C2314yes—
412#13133208C2314yes—
413#13133208C2314yes—
414#13133208C2314yes—
415#13133208C2314yes—
416#13133208C2314yes—
417#13133208C2312yes—
418#13133208C2312yes—
419#13133208C2312yes—
420#13133208C2312yes—
421#13133207C2314yes—
422#13133207C2314yes—
423#13133207C2314yes—
424#13133207C2314yes—
425#13133207C2314yes—
426#13133207C2314yes—
427#13133207C2314yes—
428#13133207C2314yes—
429#13133207C2314yes—
430#13133207C2314yes—
431#13133207C2314yes—
432#13133207C2314yes—
433#13133207C2314yes—
434#13133207C2312yes—
435#13133207C2314yes—
436#13133207C2314yes—
437#13133207C2314yes—
438#13133207C2314yes—
439#13133207C2314yes—
440#13133207C2314yes—
441#13133207C2314yes—
442#13133207C2312yes—
443#13133207C2314yes—
444#13133207C2314yes—
445#13133207C2314yes—
446#13133207C2314yes—
447#13133207C2314yes—
448#13133207C2314yes—
449#13133207C2314yes—
450#13133207C2312yes—
451#13133207C2312yes—
452#13133207C2312yes—
453#13133207C2312yes—
454#13133207C2314yes—
455#13133207C2312yes—
456#13133207C2312yes—
457#13133207C2312yes—
458#13133207C2312yes—
459#13133206C2314yes—
460#13133206C2312yes—
461#13133205C2314yes—
462#13133205C2311yescharacteristic
463#13133205C2312yes—
464#13133204C2312yes—
465#13133203C2314yes—
466#13133203C2314yes—
467#13133203C2312yes—
468#13133203C2314yes—
469#13133203C2314yes—
470#13133203C2312yes—
471#13133202C2314yes—
472#13133202C2314yes—
473#13133202C2314yes—
474#13133202C2314yes—
475#13133202C2312yes—
476#13133202C2312yes—
477#13133201C2314yes—
478#13133201C2314yes—
479#13133201C2314yes—
480#13133200C2314yes—
481#13133200C2314yes—
482#13133200C2312yes—
483#13133200C2314yes—
484#13133199C2314yes—
485#13133199C2314yes—
486#13133199C2312yes—
487#13133199C2314yes—
488#13133199C2314yes—
489#13133199C2312yes—
490#13133198C2314yes—
491#13133197C2311yescharacteristic
492#13133197C2312yes—
493#13133197C2311yescharacteristic
494#13133197C2312yes—
495#13133197C2314yes—
496#13133197C2314yes—
497#13133197C2314yes—
498#13133197C2312yes—
499#13133197C2312yes—
500#13133197C2312yes—
501#13133197C2311yescharacteristic
502#13133197C2311yescharacteristic
503#13133197C2312yes—
504#13133197C2311yescharacteristic
505#13133196C2312yes—
506#13133196C2312yes—
507#13133196C2314yes—
508#13133196C2314yes—
509#13133196C2312yes—
510#13133196C2314yes—
511#13133196C2312yes—
512#13133196C2311yescharacteristic
513#13133195C2314yes—
514#13133195C2314yes—
515#13133195C2314yes—
516#13133195C2314yes—
517#13133195C2314yes—
518#13133195C2314yes—
519#13133195C2314yes—
520#13133195C2312yes—
521#13133195C2312yes—
522#13133195C2314yes—
523#13133195C2314yes—
524#13133195C2312yes—
525#13133195C2314yes—
526#13133195C2314yes—
527#13133195C2312yes—
528#13133195C2314yes—
529#13133195C2312yes—
530#13133195C2312yes—
531#13133195C2312yes—
532#13133195C2312yes—
533#13133195C2312yes—
534#13133195C2312yes—
535#13133195C2312yes—
536#13133194C2314yes—
537#13133194C2314yes—
538#13133194C2314yes—
539#13133194C2314yes—
540#13133194C2314yes—
541#13133194C2314yes—
542#13133194C2314yes—
543#13133194C2314yes—
544#13133194C2314yes—
545#13133194C2314yes—
546#13133194C2314yes—
547#13133194C2314yes—
548#13133194C2312yes—
549#13133193C2311yescharacteristic
550#13133193C2312yes—
551#13133193C2314yes—
552#13133193C2314yes—
553#13133193C2314yes—
554#13133193C2311yescharacteristic
555#13133193C2312yes—
556#13133193C2312yes—
557#13133193C2312yes—
558#13133193C2312yes—
559#13133193C2311yescharacteristic
560#13133193C2311yescharacteristic
561#13133193C2312yes—
562#13133193C2311yescharacteristic
563#13133192C2311yescharacteristic
564#13133191C2311yescharacteristic
565#13133190C2312yes—
566#13133190C2312yes—
567#13133190C2312yes—
568#13133189C2312yes—
569#13133188C2311yescharacteristic
570#13133187C2312yes—
571#13133185C2312yes—
572Q8×Dic53C2312yes—
573Q8×Dic53C2312yes—
574Q8×Dic53C2312yes—
575Q8×Dic53C2312yes—
576Q8×Dic53C2312yes—
577Q8×Dic53C2312yes—
578Q8×Dic53C2312yes—
579Q8×Dic53C2311yescharacteristic
580C4×Dic106C2312yes—
581C4×Dic106C2311yescharacteristic
582C4×Dic106C2312yes—
583C4×Dic106C2311yescharacteristic
584C4×Dic106C2314yes—
585C4×Dic106C2314yes—
586C4×Dic106C2314yes—
587C4×Dic106C2314yes—
588C4×Dic106C2312yes—
589C4×Dic106C2314yes—
590C4×Dic106C2314yes—
591C4×Dic106C2314yes—
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594C4×Dic106C2312yes—
595C4×Dic106C2312yes—
596C4×Dic106C2314yes—
597C4×Dic106C2312yes—
598C4×Dic106C2314yes—
599C4×Dic106C2314yes—
600C4×Dic106C2312yes—
601C4×Dic106C2312yes—
602C4×Dic106C2314yes—
603C4×Dic106C2312yes—
604C4×Dic106C2312yes—
605C4×Dic106C2312yes—
606C4×Dic106C2312yes—
607C4×Dic106C2311yescharacteristic
608C4×Dic106C2311yescharacteristic
609C4×Dic106C2312yes—
610C4×Dic106C2311yescharacteristic
611C4×Dic106C2312yes—
612C4×Dic106C2312yes—
613C4×Dic106C2312yes—
614#13133182C2312yes—
615#13133182C2312yes—
616#13133182C2312yes—
617#13133182C2314yes—
618#13133182C2314yes—
619#13133182C2314yes—
620#13133182C2314yes—
621#13133182C2314yes—
622#13133182C2314yes—
623#13133182C2314yes—
624#13133182C2314yes—
625#13133182C2314yes—
626#13133182C2314yes—
627#13133182C2314yes—
628#13133182C2314yes—
629#13133182C2312yes—
630#13133182C2312yes—
631#13133182C2314yes—
632#13133182C2312yes—
633#13133182C2312yes—
634#13133182C2312yes—
635#13133182C2311yescharacteristic
636#13133182C2312yes—
637#13133182C2312yes—
638C4×D212C2312yes—
639C4×D212C2311yescharacteristic
640C4×D212C2314yes—
641C4×D212C2312yes—
642D4×Dic53C2314yes—
643D4×Dic53C2312yes—
644D4×Dic53C2312yes—
645D4×Dic53C2311yescharacteristic
646#13133179C2314yes—
647#13133179C2312yes—
648#13133179C2312yes—
649#13133179C2312yes—
650#13133179C2312yes—
651#13133179C2311yescharacteristic
652C4×C22⋊D53C2312yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2314yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2314yes—
658#13133177C2314yes—
659#13133177C2314yes—
660#13133177C2314yes—
661#13133177C2312yes—
662#13133177C2312yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133177C2312yes—
667#13133177C2312yes—
668#13133176C2314yes—
669#13133176C2312yes—
670#13133176C2312yes—
671#13133175C2314yes—
672#13133175C2314yes—
673#13133175C2314yes—
674#13133175C2314yes—
675#13133175C2312yes—
676#13133175C2312yes—
677#13133175C2312yes—
678#13133175C2312yes—
679#13133175C2311yescharacteristic
680#13133175C2312yes—
681#13133175C2311yescharacteristic
682#13133175C2312yes—
683#13133174C2314yes—
684#13133174C2314yes—
685#13133174C2312yes—
686#13133174C2314yes—
687#13133174C2312yes—
688#13133174C2314yes—
689#13133174C2314yes—
690#13133174C2314yes—
691#13133174C2312yes—
692#13133174C2314yes—
693#13133174C2312yes—
694#13133174C2312yes—
695#13133174C2312yes—
696#13133174C2312yes—
697#13133174C2312yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133173C2314yes—
701#13133173C2314yes—
702#13133173C2314yes—
703#13133173C2314yes—
704#13133173C2314yes—
705#13133173C2314yes—
706#13133173C2314yes—
707#13133173C2312yes—
708#13133173C2312yes—
709#13133173C2312yes—
710C2×C4⋊Dic53C2311yescharacteristic
711C2×C4⋊Dic53C2312yes—
712C2×#11719919C2312yes—
713C2×#11719919C2312yes—
714C2×#11719919C2314yes—
715C2×#11719919C2314yes—
716C2×#11719919C2312yes—
717C2×#11719919C2312yes—
718C2×#11719919C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2314yes—
721C4⋊C4×D53C2314yes—
722C4⋊C4×D53C2314yes—
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2312yes—
725C4⋊C4×D53C2312yes—
726C4⋊C4×D53C2314yes—
727C2×#11719921C2312yes—
728C2×#11719921C2312yes—
729C22⋊C4×D53C2314yes—
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2312yes—
734C2×C4×Dic53C2312yes—
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2314yes—
744C42×D53C2312yes—
745C22×Q8×C53C2311yescharacteristic
746C22×Q8×C53C2312yes—
747C4⋊Q8×C53C2312yes—
748C4⋊Q8×C53C2311yescharacteristic
749C4⋊Q8×C53C2312yes—
750C4⋊Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2312yes—
752C4⋊Q8×C53C2314yes—
753#126×C53C2314yes—
754#126×C53C2312yes—
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#125×C53C2314yes—
759#125×C53C2314yes—
760#125×C53C2314yes—
761#125×C53C2312yes—
762#125×C53C2311yescharacteristic
763#125×C53C2312yes—
764#125×C53C2312yes—
765#125×C53C2314yes—
766#125×C53C2314yes—
767#124×C53C2311yescharacteristic
768#124×C53C2312yes—
769#123×C53C2314yes—
770#123×C53C2312yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2314yes—
775C22⋊Q8×C53C2312yes—
776C22⋊Q8×C53C2311yescharacteristic
777C22⋊Q8×C53C2314yes—
778C22⋊Q8×C53C2314yes—
779#121×C53C2311yescharacteristic
780C4×Q8×C53C2312yes—
781C4×Q8×C53C2311yescharacteristic
782C4×Q8×C53C2311yescharacteristic
783C4×Q8×C53C2311yescharacteristic
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2312yes—
787C4×Q8×C53C2314yes—
788C4×Q8×C53C2312yes—
789C4×Q8×C53C2312yes—
790C4×Q8×C53C2314yes—
791C4×Q8×C53C2312yes—
792C4×Q8×C53C2311yescharacteristic
793C4×Q8×C53C2312yes—
794C4×Q8×C53C2312yes—
795C4×Q8×C53C2312yes—
796C4×D4×C53C2312yes—
797C4×D4×C53C2311yescharacteristic
798C4×D4×C53C2314yes—
799C4×D4×C53C2312yes—
800#117×C53C2314yes—
801#117×C53C2314yes—
802#117×C53C2314yes—
803#117×C53C2312yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806C2×C4⋊C4×C53C2312yes—
807C2×C4⋊C4×C53C2311yescharacteristic
808C2×C42×C53C2311yescharacteristic
809C2×C42×C53C2312yes—
810C23×D53C2411yescharacteristic
811C2×Q8×C53—42no—
812C2×Q8×C53—44no—
813C2×Q8×C53C2411yescharacteristic
814C2×Q8×C53C2412yes—
815C2×Q8×C53C2411yescharacteristic
816C2×Q8×C53C2412yes—
817C2×Q8×C53C2411yescharacteristic
818C2×Q8×C53C2412yes—
819C2×Q8×C53C2414yes—
820C2×D4×C53C2412yes—
821C2×D4×C53C2411yescharacteristic
822C22×C4×C53C2411yescharacteristic
823C22×C4×C53C2411yescharacteristic
824C22×C4×C53C2412yes—
825C22×C4×C53C2411yescharacteristic
826C22×C4×C53C2412yes—
827C22×C4×C53C2412yes—
828C22×C4×C53C2414yes—
829C2×C22⋊D53C2412yes—
830C2×C22⋊D53C2412yes—
831C2×C22⋊D53C2412yes—
832C2×C22⋊D53C2412yes—
833C2×C22⋊D53C2412yes—
834C22×Dic53C2411yescharacteristic
835C22×Dic53C2412yes—
836C22×Dic53C2412yes—
837C22×Dic53C2412yes—
838C22×Dic53C2411yescharacteristic
839C22×Dic53C2412yes—
840C22×Dic53C2414yes—
841C22×Dic53C2411yescharacteristic
842#11719949—24no—
843Q8×D53—28no—
844Q8×D53—44no—
845Q8×D53—44no—
846Q8×D53—44no—
847#11719947—28no—
848#11719947—24no—
849#11719945—44no—
850C2×D212C2412yes—
851C2×D212C2411yescharacteristic
852C2×D212C2412yes—
853C2×C4×D53—24no—
854C2×C4×D53—24no—
855C2×C4×D53—42no—
856C2×C4×D53C2411yescharacteristic
857C2×C4×D53C2411yescharacteristic
858C2×C4×D53C2411yescharacteristic
859C2×C4×D53C2411yescharacteristic
860C2×C4×D53C2411yescharacteristic
861C2×C4×D53C2411yescharacteristic
862C2×C4×D53C2411yescharacteristic
863C2×C4×D53C2411yescharacteristic
864C2×C4×D53C2411yescharacteristic
865C2×C4×D53C2414yes—
866C2×C4×D53C2412yes—
867C2×C4×D53C2412yes—
868C2×C4×D53C2412yes—
869C2×C4×D53C2411yescharacteristic
870C2×C4×D53C2411yescharacteristic
871C2×C4×D53C2414yes—
872C2×C4×D53C2414yes—
873C2×C4×D53C2414yes—
874C2×C4×D53C2411yescharacteristic
875C2×Dic106—28no—
876C2×Dic106—42no—
877C2×Dic106—44no—
878C2×Dic106C2412yes—
879C2×Dic106C2412yes—
880C2×Dic106C2414yes—
881C2×Dic106C2412yes—
882C2×Dic106C2412yes—
883C2×Dic106C2411yescharacteristic
884C2×Dic106C2412yes—
885C2×Dic106C2411yescharacteristic
886C2×Dic106C2412yes—
887C2×Dic106C2412yes—
888C2×Dic106C2411yescharacteristic
889C2×Dic106C2414yes—
890C2×Dic106C2412yes—
891C2×Dic106C2414yes—
892C2×Dic106C2414yes—
893C2×Dic106C2414yes—
894C2×Dic106C2412yes—
895C4⋊C4×C53C2412yes—
896C4⋊C4×C53C2411yescharacteristic
897C4⋊C4×C53C2411yescharacteristic
898C4⋊C4×C53C2412yes—
899C4⋊C4×C53C2412yes—
900C4⋊C4×C53C2412yes—
901C4⋊C4×C53C2412yes—
902C4⋊C4×C53C2412yes—
903C4⋊C4×C53C2414yes—
904C4⋊C4×C53C2414yes—
905C4⋊C4×C53C2412yes—
906C4⋊C4×C53C2412yes—
907C4⋊C4×C53C2414yes—
908C4⋊C4×C53C2412yes—
909C4⋊C4×C53C2414yes—
910C4⋊C4×C53C2412yes—
911C4⋊C4×C53C2414yes—
912C4⋊C4×C53C2412yes—
913C4⋊C4×C53C2411yescharacteristic
914C4⋊C4×C53C2414yes—
915C4⋊C4×C53C2412yes—
916C4⋊C4×C53C2411yescharacteristic
917C4⋊C4×C53C2414yes—
918C4⋊C4×C53C2414yes—
919C4⋊C4×C53C2414yes—
920C4⋊C4×C53C2412yes—
921C4⋊C4×C53C2414yes—
922C22⋊C4×C53C2412yes—
923C22⋊C4×C53C2412yes—
924C22⋊C4×C53C2414yes—
925C22⋊C4×C53C2414yes—
926C22⋊C4×C53C2412yes—
927C22⋊C4×C53C2412yes—
928C22⋊C4×C53C2414yes—
929C22⋊C4×C53C2412yes—
930C22⋊C4×C53C2414yes—
931C42×C53C2411yescharacteristic
932C42×C53C2412yes—
933C42×C53C2411yescharacteristic
934C42×C53C2412yes—
935C42×C53C2411yescharacteristic
936C42×C53C2412yes—
937C42×C53C2411yescharacteristic
938C42×C53C2412yes—
939C42×C53C2414yes—
940C42×C53C2414yes—
941C42×C53C2414yes—
942C42×C53C2412yes—
943C42×C53C2414yes—
944C22⋊Dic53C2414yes—
945C22⋊Dic53C2412yes—
946C22⋊Dic53C2414yes—
947C22⋊Dic53C2412yes—
948C22⋊Dic53C2412yes—
949C22⋊Dic53C2414yes—
950C22⋊Dic53C2414yes—
951#11719921C2414yes—
952#11719921C2414yes—
953#11719921C2412yes—
954#11719921C2412yes—
955#11719921C2412yes—
956#11719921C2412yes—
957#11719921C2412yes—
958#11719921C2412yes—
959#11719921C2412yes—
960#11719921C2412yes—
961#11719921C2412yes—
962#11719921C2412yes—
963#11719921C2412yes—
964#11719921C2412yes—
965#11719921C2414yes—
966#11719921C2414yes—
967#11719921C2414yes—
968#11719921C2412yes—
969#11719921C2412yes—
970#11719921C2414yes—
971#11719921C2414yes—
972#11719921C2414yes—
973#11719921C2412yes—
974#11719921C2412yes—
975#11719921C2412yes—
976#11719921C2412yes—
977C4⋊Dic53C2412yes—
978C4⋊Dic53C2412yes—
979C4⋊Dic53C2412yes—
980C4⋊Dic53C2412yes—
981C4⋊Dic53C2414yes—
982C4⋊Dic53C2414yes—
983C4⋊Dic53C2414yes—
984C4⋊Dic53C2414yes—
985C4⋊Dic53C2411yescharacteristic
986C4⋊Dic53C2411yescharacteristic
987C4⋊Dic53C2412yes—
988C4⋊Dic53C2412yes—
989C4⋊Dic53C2412yes—
990C4⋊Dic53C2412yes—
991C4⋊Dic53C2412yes—
992C4⋊Dic53C2411yescharacteristic
993C4⋊Dic53C2412yes—
994C4⋊Dic53C2411yescharacteristic
995C4⋊Dic53C2412yes—
996C4⋊Dic53C2414yes—
997C4⋊Dic53C2414yes—
998C4⋊Dic53C2414yes—
999C4⋊Dic53C2414yes—
1000C4⋊Dic53C2414yes—
1001C4⋊Dic53C2414yes—
1002#11719919C2412yes—
1003#11719919C2414yes—
1004#11719919C2414yes—
1005#11719919C2412yes—
1006#11719919C2414yes—
1007#11719919C2414yes—
1008#11719919C2414yes—
1009#11719919C2414yes—
1010#11719919C2414yes—
1011#11719919C2414yes—
1012#11719919C2412yes—
1013#11719919C2412yes—
1014#11719919C2412yes—
1015#11719919C2412yes—
1016#11719919C2412yes—
1017#11719919C2412yes—
1018#11719919C2412yes—
1019#11719919C2412yes—
1020#11719919C2412yes—
1021#11719919C2412yes—
1022#11719919C2412yes—
1023#11719919C2414yes—
1024#11719919C2414yes—
1025#11719919C2412yes—
1026#11719919C2414yes—
1027#11719919C2414yes—
1028#11719919C2412yes—
1029#11719919C2412yes—
1030#11719919C2412yes—
1031#11719919C2412yes—
1032#11719919C2412yes—
1033#11719919C2412yes—
1034#11719919C2412yes—
1035#11719919C2412yes—
1036#11719919C2412yes—
1037#11719919C2412yes—
1038#11719919C2412yes—
1039#11719919C2412yes—
1040#11719919C2414yes—
1041#11719919C2414yes—
1042#11719919C2414yes—
1043#11719919C2414yes—
1044#11719919C2414yes—
1045#11719919C2414yes—
1046#11719919C2412yes—
1047#11719919C2412yes—
1048#11719919C2412yes—
1049#11719919C2412yes—
1050#11719919C2414yes—
1051#11719919C2414yes—
1052#11719919C2414yes—
1053#11719919C2414yes—
1054#11719919C2414yes—
1055#11719919C2414yes—
1056C4×Dic53C2411yescharacteristic
1057C4×Dic53C2411yescharacteristic
1058C4×Dic53C2411yescharacteristic
1059C4×Dic53C2411yescharacteristic
1060C4×Dic53C2411yescharacteristic
1061C4×Dic53C2411yescharacteristic
1062C4×Dic53C2411yescharacteristic
1063C4×Dic53C2411yescharacteristic
1064C4×Dic53C2411yescharacteristic
1065C4×Dic53C2411yescharacteristic
1066C4×Dic53C2411yescharacteristic
1067C4×Dic53C2411yescharacteristic
1068C4×Dic53C2412yes—
1069C4×Dic53C2414yes—
1070C4×Dic53C2414yes—
1071C4×Dic53C2414yes—
1072C4×Dic53C2412yes—
1073C4×Dic53C2412yes—
1074C4×Dic53C2412yes—
1075C4×Dic53C2412yes—
1076C4×Dic53C2412yes—
1077C4×Dic53C2412yes—
1078C4×Dic53C2412yes—
1079C4×Dic53C2412yes—
1080C4×Dic53C2414yes—
1081C4×Dic53C2414yes—
1082C4×Dic53C2414yes—
1083C4×Dic53C2414yes—
1084C4×Dic53C2414yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2414yes—
1089C23×C53C2512yes—
1090C23×C53C2511yescharacteristic
1091C22×D53—22no—
1092C22×D53—22no—
1093C22×D53—41no—
1094C22×D53C2512yes—
1095C22×D53C2511yescharacteristic
1096C22×D53C2511yescharacteristic
1097Q8×C53—24no—
1098Q8×C53—22no—
1099Q8×C53—24no—
1100Q8×C53—22no—
1101Q8×C53—22no—
1102Q8×C53—44no—
1103Q8×C53—42no—
1104D4×C53—24no—
1105D4×C53—22no—
1106C2×C4×C53—24no—
1107C2×C4×C53—22no—
1108C2×C4×C53—22no—
1109C2×C4×C53—22no—
1110C2×C4×C53—24no—
1111C2×C4×C53—42no—
1112C2×C4×C53—44no—
1113C2×C4×C53C2512yes—
1114C2×C4×C53C2511yescharacteristic
1115C2×C4×C53C2514yes—
1116C2×C4×C53C2512yes—
1117C2×C4×C53C2512yes—
1118C2×C4×C53C2512yes—
1119C2×C4×C53C2512yes—
1120C2×C4×C53C2514yes—
1121C2×C4×C53C2511yescharacteristic
1122C2×C4×C53C2511yescharacteristic
1123C2×C4×C53C2511yescharacteristic
1124C2×C4×C53C2512yes—
1125C2×C4×C53C2512yes—
1126C2×C4×C53C2511yescharacteristic
1127C2×C4×C53C2511yescharacteristic
1128C22⋊D53—24no—
1129C22⋊D53—24no—
1130C22⋊D53—24no—
1131C22⋊D53—42no—
1132C22⋊D53—42no—
1133C2×Dic53—24no—
1134C2×Dic53—22no—
1135C2×Dic53—24no—
1136C2×Dic53—24no—
1137C2×Dic53—42no—
1138C2×Dic53—44no—
1139C2×Dic53—41no—
1140C2×Dic532−1+414yes—
1141C2×Dic53C2512yes—
1142C2×Dic53C2514yes—
1143C2×Dic53C2512yes—
1144C2×Dic53C2511yescharacteristic
1145C2×Dic53C2512yes—
1146C2×Dic53C2511yescharacteristic
1147C2×Dic53C2514yes—
1148C2×Dic53C2512yes—
1149C2×Dic53C2512yes—
1150C2×Dic53C2512yes—
1151C2×Dic53C2512yes—
1152C2×Dic53C2511yescharacteristic
1153C2×Dic53C2511yescharacteristic
1154C2×Dic53C2511yescharacteristic
1155C2×Dic53C2511yescharacteristic
1156D212—24no—
1157D212—22no—
1158D212—42no—
1159C4×D53—22no—
1160C4×D53—28no—
1161C4×D53—22no—
1162C4×D53—22no—
1163C4×D53—22no—
1164C4×D53—24no—
1165C4×D53—22no—
1166C4×D53—22no—
1167C4×D53—22no—
1168C4×D53—22no—
1169C4×D53—22no—
1170C4×D53—24no—
1171C4×D53—24no—
1172C4×D53—41no—
1173C4×D53—41no—
1174C4×D53—44no—
1175C4×D53—44no—
1176C4×D53—44no—
1177C4×D532−1+414yes—
1178Dic106—22no—
1179Dic106—24no—
1180Dic106—22no—
1181Dic106—22no—
1182Dic106—24no—
1183Dic106—24no—
1184Dic106—24no—
1185Dic106—24no—
1186Dic106—24no—
1187Dic106—24no—
1188Dic106—28no—
1189Dic106—44no—
1190Dic106—42no—
1191Dic106—42no—
1192Dic106—44no—
1193Dic106—44no—
1194Dic106—44no—
1195#62837—531nomaximal, Sylow
1196C22×C53—21no—
1197C22×C53—21no—
1198C22×C53—22no—
1199C22×C53—22no—
1200C22×C53—22no—
1201C22×C53C2×2−1+412yes—
1202C22×C53C2611yescharacteristic
1203C2×D53—21no—
1204C2×D53—21no—
1205C2×D53—21no—
1206C2×D53—21no—
1207C2×D53—22no—
1208C2×D53—22no—
1209C2×D53—22no—
1210C2×D53—21no—
1211C2×D53—44no—
1212C2×D53C2×2−1+412yes—
1213C4×C53—22no—
1214C4×C53—22no—
1215C4×C53—22no—
1216C4×C53—24no—
1217C4×C53—21no—
1218C4×C53—21no—
1219C4×C53—21no—
1220C4×C53—22no—
1221C4×C53—22no—
1222C4×C53—21no—
1223C4×C53—22no—
1224C4×C53—24no—
1225C4×C53—22no—
1226C4×C53C2×2−1+412yes—
1227C4×C53#58512yes—
1228Dic53—24no—
1229Dic53—22no—
1230Dic53—22no—
1231Dic53—22no—
1232Dic53—22no—
1233Dic53—21no—
1234Dic53—24no—
1235Dic53—22no—
1236Dic53—22no—
1237Dic53—22no—
1238Dic53—21no—
1239Dic53—21no—
1240Dic53C2×2−1+412yes—
1241Dic53C2×2−1+412yes—
1242Dic53C2×2−1+412yes—
1243#3563—534no—
1244#3563—534no—
1245#3556—531no—
1246#3556—531no—
1247#3555—532no—
1248#3555—532no—
1249#3555—534no—
1250#3550—531no—
1251#3550—531no—
1252#3538—532no—
1253#3538—532no—
1254#3523—532no—
1255#3523—531no—
1256#3523—531no—
1257#3523—532no—
1258#3523—531no—
1259#3523D5311yescharacteristic, complemented
1260#3509—531no—
1261#3509—531no—
1262#3509—532no—
1263#3509—532no—
1264#3509—532no—
1265#3507—532no—
1266#3507—532no—
1267#3503—531no—
1268#3503—532no—
1269#3503—531no—
1270#3502—532no—
1271#3502—532no—
1272#3495—534no—
1273#3495—532no—
1274#3495—532no—
1275#3444—531no—
1276C2×#533—531no—
1277C2×#533—531no—
1278C2×C53—22no—
1279C2×C53—42no—
1280C2×C53C22×2−1+411yescharacteristic
1281C2×C53C22×2−1+411yescharacteristic
1282C2×C53C2×#58511yescharacteristic
1283D53—22no—
1284D53—42no—
1285D53—41no—
1286#564—534no—
1287#564—534no—
1288#563—534no—
1289#563—534no—
1290#563—534no—
1291#563—534no—
1292#563—534no—
1293#563—534no—
1294#559—532no—
1295#559—532no—
1296Q82—532no—
1297Q82—534no—
1298Q82—532no—
1299Q82—532no—
1300Q82—532no—
1301#557—532no—
1302#557—532no—
1303#557—532no—
1304#557—531no—
1305#557—531no—
1306#557—532no—
1307#557—534no—
1308#557—534no—
1309#557—534no—
1310#557—534no—
1311#557—532no—
1312#557—532no—
1313#557—532no—
1314#557—532no—
1315#557—532no—
1316#557—532no—
1317#557—532no—
1318#557—534no—
1319#557—534no—
1320#557—534no—
1321#557—532no—
1322#557—532no—
1323#557—531no—
1324#557—531no—
1325#557—531no—
1326#557—531no—
1327#557C2×D5312yescomplemented
1328#557C2×D5311yescharacteristic, complemented
1329#557C2×D5311yescharacteristic, complemented
1330#556—531no—
1331#556—534no—
1332#556—534no—
1333#556—534no—
1334#556—534no—
1335#556—532no—
1336#556—532no—
1337#556—532no—
1338#556—534no—
1339#556—534no—
1340#556—532no—
1341#556—532no—
1342#556—532no—
1343#556—531no—
1344#556—531no—
1345#556—534no—
1346#556—532no—
1347#556C2×D5312yescomplemented
1348#556C2×D5311yescharacteristic, complemented
1349#554—534no—
1350#554—532no—
1351#554—534no—
1352#554—534no—
1353#554—534no—
1354#554—534no—
1355#554—532no—
1356#552—534no—
1357#552—534no—
1358#552—534no—
1359#552—534no—
1360#552—534no—
1361#552—534no—
1362#552—534no—
1363#552—534no—
1364#552—532no—
1365#552—534no—
1366#552—534no—
1367#552—532no—
1368#552—532no—
1369#552—534no—
1370#552—532no—
1371#552—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—534no—
1381#552—532no—
1382#552C2×D5314yes—
1383#552C2×D5312yes—
1384#551—534no—
1385#551—534no—
1386#551—534no—
1387#551—534no—
1388D4×Q8—532no—
1389D4×Q8—532no—
1390D4×Q8—532no—
1391D4×Q8—532no—
1392D4×Q8—531no—
1393D4×Q8—532no—
1394D4×Q8—532no—
1395D4×Q8—532no—
1396D4×Q8—532no—
1397D4×Q8—531no—
1398D4×Q8—532no—
1399D4×Q8—531no—
1400D4×Q8C2×D5312yes—
1401D4×Q8C2×D5311yescharacteristic, complemented
1402#544—532no—
1403#544—534no—
1404#544—534no—
1405#544—532no—
1406#544—534no—
1407#544—534no—
1408#544—534no—
1409#544—534no—
1410#544—534no—
1411#544—534no—
1412#544—534no—
1413#542—532no—
1414#542—534no—
1415#542—532no—
1416#542—534no—
1417#542—532no—
1418#542—532no—
1419#541—532no—
1420#541—532no—
1421#541—534no—
1422#541—534no—
1423#541—534no—
1424#541—534no—
1425#541—534no—
1426#541—534no—
1427#541—532no—
1428#541—532no—
1429#541—534no—
1430#541—534no—
1431#541—534no—
1432#541—534no—
1433#541—532no—
1434#541—532no—
1435#541—532no—
1436#541—532no—
1437#541—532no—
1438#541—532no—
1439#541—534no—
1440#541—534no—
1441#541—532no—
1442#541—534no—
1443#541C2×D5312yescomplemented
1444#541C2×D5314yescomplemented
1445#539—534no—
1446#539—534no—
1447#539—534no—
1448#539—534no—
1449#536—532no—
1450#536—532no—
1451#536—532no—
1452#536—534no—
1453#536—532no—
1454#536—532no—
1455#536—532no—
1456#533—531no—
1457#533—531no—
1458#533—532no—
1459#533—531no—
1460#533—534no—
1461#533—532no—
1462#533—532no—
1463#533—532no—
1464#533—531no—
1465#533—532no—
1466#533—532no—
1467#533—532no—
1468#533—532no—
1469#533—532no—
1470#533—531no—
1471#533—531no—
1472#533—532no—
1473#533—531no—
1474#533—531no—
1475#533—531no—
1476#533—531no—
1477#533—531no—
1478#533—531no—
1479#533—532no—
1480#533—532no—
1481#533—532no—
1482#533—532no—
1483#533—531no—
1484#533—534no—
1485#533—532no—
1486#533—532no—
1487#533—532no—
1488#533—532no—
1489#533—531no—
1490#533—532no—
1491#533C2×D5311yescharacteristic
1492#533C2×D5312yes—
1493#532—531no—
1494#532—531no—
1495#532—531no—
1496C2×C4⋊Q8—531no—
1497C2×C4⋊Q8—532no—
1498C2×C4⋊Q8—531no—
1499C2×C4⋊Q8—531no—
1500C2×C4⋊Q8—532no—
1501C2×C4⋊Q8—531no—
1502#529—532no—
1503#529—532no—
1504#529—534no—
1505#529—531no—
1506#529—531no—
1507#529—532no—
1508#529—532no—
1509#529—532no—
1510#529—532no—
1511#529—534no—
1512#529—531no—
1513#529—532no—
1514#529C2×D5311yescharacteristic
1515#529C2×D5312yes—
1516C2×#125—532no—
1517C2×#125—532no—
1518#525—532no—
1519#525—531no—
1520#525—531no—
1521#525—532no—
1522C2×C22⋊Q8—531no—
1523C2×C22⋊Q8—532no—
1524C2×C22⋊Q8—532no—
1525C2×C22⋊Q8—532no—
1526C2×C22⋊Q8—531no—
1527#520—532no—
1528#520—534no—
1529#520—532no—
1530#519—532no—
1531#519—532no—
1532#519—532no—
1533#519—532no—
1534#519—534no—
1535#519—532no—
1536#519C2×D5312yescomplemented
1537C4×#41—531no—
1538C4×#41—531no—
1539C4×#41—532no—
1540C4×#41—532no—
1541C2×C4×Q8—532no—
1542C2×C4×Q8—532no—
1543C2×C4×Q8—532no—
1544C2×C4×Q8—531no—
1545C2×C4×Q8C2×D5311yescharacteristic
1546C2×#117—532no—
1547C2×#117—532no—
1548C22×C42—531no—
1549C53#6283711yescharacteristic, complemented, Sylow
1550C2×#41—531no—
1551C2×#41—532no—
1552C2×#41—531no—
1553C2×#41—532no—
1554C22×Q8—532no—
1555C22×Q8—532no—
1556C22×Q8—532no—
1557C22×Q8—532no—
1558C22×Q8—532no—
1559C22×Q8—531no—
1560C22×Q8—532no—
1561C22×Q8C22×D5311yescharacteristic
1562C22×Q8C22×D5312yes—
1563C23×C4—531no—
1564C23×C4—531no—
1565C23×C4—531no—
1566C4⋊Q8—531no—
1567C4⋊Q8—532no—
1568C4⋊Q8—531no—
1569C4⋊Q8—532no—
1570C4⋊Q8—531no—
1571C4⋊Q8—531no—
1572C4⋊Q8—532no—
1573C4⋊Q8—532no—
1574C4⋊Q8—532no—
1575C4⋊Q8—532no—
1576C4⋊Q8—534no—
1577C4⋊Q8—534no—
1578C4⋊Q8—531no—
1579C4⋊Q8—532no—
1580C4⋊Q8—532no—
1581C4⋊Q8—534no—
1582C4⋊Q8—534no—
1583C4⋊Q8—534no—
1584C4⋊Q8—534no—
1585C4⋊Q8—532no—
1586C4⋊Q8—531no—
1587C4⋊Q8—531no—
1588C4⋊Q8—532no—
1589C4⋊Q8—532no—
1590C4⋊Q8—532no—
1591C4⋊Q8—532no—
1592C4⋊Q8—532no—
1593C4⋊Q8—531no—
1594C4⋊Q8—531no—
1595C4⋊Q8—534no—
1596C4⋊Q8—534no—
1597C4⋊Q8—531no—
1598C4⋊Q8—531no—
1599C4⋊Q8—534no—
1600C4⋊Q8—534no—
1601C4⋊Q8—534no—
1602C4⋊Q8—532no—
1603C4⋊Q8—532no—
1604C4⋊Q8—534no—
1605C4⋊Q8—534no—
1606C4⋊Q8—534no—
1607C4⋊Q8—534no—
1608C4⋊Q8—534no—
1609C4⋊Q8—534no—
1610C4⋊Q8—531no—
1611C4⋊Q8—531no—
1612C4⋊Q8—532no—
1613C4⋊Q8—532no—
1614C4⋊Q8—532no—
1615C4⋊Q8—534no—
1616C4⋊Q8—534no—
1617C4⋊Q8C22×D5311yescharacteristic
1618C4⋊Q8C22×D5311yescharacteristic
1619C4⋊Q8C22×D5312yes—
1620C4⋊Q8C22×D5312yes—
1621C4⋊Q8C22×D5312yes—
1622C4⋊Q8C22×D5314yes—
1623#127—531no—
1624#126—532no—
1625#126—534no—
1626#126—534no—
1627#126—534no—
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—532no—
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—532no—
1649#126—534no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126C22×D5312yes—
1656#126C22×D5314yes—
1657#126C22×D5314yes—
1658#126C22×D5314yes—
1659#126C22×D5314yes—
1660#125—532no—
1661#125—532no—
1662#125—534no—
1663#125—532no—
1664#125—532no—
1665#125—534no—
1666#125—532no—
1667#125—532no—
1668#125—532no—
1669#125—532no—
1670#125—532no—
1671#125—532no—
1672#125—532no—
1673#125—532no—
1674#125—534no—
1675#125—534no—
1676#125—532no—
1677#125—532no—
1678#125—534no—
1679#125—534no—
1680#125—534no—
1681#125—534no—
1682#125—532no—
1683#125—532no—
1684#125—534no—
1685#125—534no—
1686#125—534no—
1687#125—534no—
1688#125—534no—
1689#125—534no—
1690#125—534no—
1691#125—534no—
1692#125—534no—
1693#125—534no—
1694#125—534no—
1695#125—534no—
1696#125—534no—
1697#125—534no—
1698#125—534no—
1699#125—534no—
1700#125—534no—
1701#125—534no—
1702#125—534no—
1703#125—534no—
1704#125—534no—
1705#125—534no—
1706#125—534no—
1707#125—534no—
1708#125—534no—
1709#125—534no—
1710#125—534no—
1711#125—534no—
1712#125—532no—
1713#125—531no—
1714#125—532no—
1715#125—534no—
1716#125—532no—
1717#125—534no—
1718#125—534no—
1719#125—534no—
1720#125—534no—
1721#125—534no—
1722#125—534no—
1723#125C22×D5312yes—
1724#125C22×D5311yescharacteristic
1725#125C22×D5312yes—
1726#125C22×D5314yes—
1727#125C22×D5312yes—
1728#125C22×D5314yes—
1729#125C22×D5314yes—
1730#125C22×D5314yes—
1731#125C22×D5314yes—
1732#124—532no—
1733#124—534no—
1734#124—532no—
1735#124—532no—
1736#124—532no—
1737#124—534no—
1738#124—534no—
1739#124—534no—
1740#124—534no—
1741#124—531no—
1742#124—532no—
1743#124—534no—
1744#124C22×D5311yescharacteristic
1745#124C22×D5312yes—
1746#123—534no—
1747#123—532no—
1748#123—534no—
1749#123—534no—
1750#123—534no—
1751#123—532no—
1752#123—532no—
1753#123—534no—
1754#123—534no—
1755#123—534no—
1756#123—534no—
1757#123—532no—
1758#123—532no—
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—
1768C22⋊Q8—531no—
1769C22⋊Q8—532no—
1770C22⋊Q8—531no—
1771C22⋊Q8—532no—
1772C22⋊Q8—532no—
1773C22⋊Q8—531no—
1774C22⋊Q8—531no—
1775C22⋊Q8—532no—
1776C22⋊Q8—531no—
1777C22⋊Q8—532no—
1778C22⋊Q8—532no—
1779C22⋊Q8—534no—
1780C22⋊Q8—534no—
1781C22⋊Q8—534no—
1782C22⋊Q8—532no—
1783C22⋊Q8—532no—
1784C22⋊Q8—531no—
1785C22⋊Q8—532no—
1786C22⋊Q8—532no—
1787C22⋊Q8—534no—
1788C22⋊Q8—534no—
1789C22⋊Q8—534no—
1790C22⋊Q8—532no—
1791C22⋊Q8—532no—
1792C22⋊Q8—532no—
1793C22⋊Q8—531no—
1794C22⋊Q8—531no—
1795C22⋊Q8—532no—
1796C22⋊Q8—532no—
1797C22⋊Q8—532no—
1798C22⋊Q8—532no—
1799C22⋊Q8—531no—
1800C22⋊Q8—531no—
1801C22⋊Q8—532no—
1802C22⋊Q8—532no—
1803C22⋊Q8—534no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—534no—
1807C22⋊Q8—532no—
1808C22⋊Q8—532no—
1809C22⋊Q8—532no—
1810C22⋊Q8—531no—
1811C22⋊Q8—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—532no—
1814C22⋊Q8—534no—
1815C22⋊Q8—534no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—534no—
1823C22⋊Q8—534no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—532no—
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⋊Q8—534no—
1840C22⋊Q8C22×D5312yes—
1841C22⋊Q8C22×D5312yes—
1842C22⋊Q8C22×D5311yescharacteristic
1843C22⋊Q8C22×D5312yes—
1844C22⋊Q8C22×D5312yes—
1845C22⋊Q8C22×D5314yes—
1846C22⋊Q8C22×D5314yes—
1847C22⋊Q8C22×D5314yes—
1848#121—532no—
1849#121—531no—
1850#121—531no—
1851#121—531no—
1852#121—532no—
1853#121—532no—
1854#121—532no—
1855#121C22×D5311yescharacteristic
1856#120—532no—
1857#120—532no—
1858C4×Q8—532no—
1859C4×Q8—532no—
1860C4×Q8—531no—
1861C4×Q8—532no—
1862C4×Q8—532no—
1863C4×Q8—532no—
1864C4×Q8—532no—
1865C4×Q8—532no—
1866C4×Q8—532no—
1867C4×Q8—534no—
1868C4×Q8—534no—
1869C4×Q8—532no—
1870C4×Q8—532no—
1871C4×Q8—532no—
1872C4×Q8—532no—
1873C4×Q8—531no—
1874C4×Q8—534no—
1875C4×Q8—532no—
1876C4×Q8—532no—
1877C4×Q8—532no—
1878C4×Q8—534no—
1879C4×Q8—534no—
1880C4×Q8—534no—
1881C4×Q8—534no—
1882C4×Q8—534no—
1883C4×Q8—534no—
1884C4×Q8—534no—
1885C4×Q8—534no—
1886C4×Q8—534no—
1887C4×Q8—532no—
1888C4×Q8—534no—
1889C4×Q8—532no—
1890C4×Q8—532no—
1891C4×Q8—531no—
1892C4×Q8—531no—
1893C4×Q8—534no—
1894C4×Q8—532no—
1895C4×Q8—531no—
1896C4×Q8—531no—
1897C4×Q8—534no—
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—531no—
1910C4×Q8—534no—
1911C4×Q8—532no—
1912C4×Q8—532no—
1913C4×Q8—532no—
1914C4×Q8—534no—
1915C4×Q8—534no—
1916C4×Q8—534no—
1917C4×Q8—534no—
1918C4×Q8—534no—
1919C4×Q8—534no—
1920C4×Q8—534no—
1921C4×Q8—532no—
1922C4×Q8—534no—
1923C4×Q8—532no—
1924C4×Q8C22×D5312yes—
1925C4×Q8C22×D5312yes—
1926C4×Q8C22×D5311yescharacteristic
1927C4×Q8C22×D5311yescharacteristic
1928C4×Q8C22×D5312yes—
1929C4×Q8C22×D5311yescharacteristic
1930C4×Q8C22×D5311yescharacteristic
1931C4×Q8C22×D5312yes—
1932C4×Q8C22×D5311yescharacteristic
1933C4×Q8C22×D5312yes—
1934C4×Q8C22×D5312yes—
1935C4×Q8C22×D5312yes—
1936C4×Q8C22×D5312yes—
1937C4×Q8C22×D5314yes—
1938C4×Q8C22×D5314yes—
1939C4×Q8C22×D5312yes—
1940C4×D4—532no—
1941C4×D4—531no—
1942C4×D4—534no—
1943C4×D4—532no—
1944C4×D4—532no—
1945C4×D4—532no—
1946C4×D4—532no—
1947C4×D4—534no—
1948C4×D4—534no—
1949C4×D4—534no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—531no—
1954C4×D4—534no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—532no—
1958C4×D4—532no—
1959C4×D4—532no—
1960C4×D4—532no—
1961C4×D4—532no—
1962C4×D4—532no—
1963C4×D4—534no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—532no—
1967C4×D4—531no—
1968C4×D4—534no—
1969C4×D4—532no—
1970C4×D4C22×D5312yes—
1971C4×D4C22×D5311yescharacteristic
1972C4×D4C22×D5314yes—
1973C4×D4C22×D5312yes—
1974#117—532no—
1975#117—532no—
1976#117—534no—
1977#117—532no—
1978#117—532no—
1979#117—531no—
1980#117—531no—
1981#117—532no—
1982#117—532no—
1983#117—534no—
1984#117—534no—
1985#117—532no—
1986#117—532no—
1987#117—534no—
1988#117—534no—
1989#117—534no—
1990#117—532no—
1991#117—532no—
1992#117—532no—
1993#117—534no—
1994#117—534no—
1995#117—534no—
1996#117—534no—
1997#117—534no—
1998#117—534no—
1999#117—532no—
2000#117—532no—
2001#117—532no—
2002#117—532no—
2003#117—532no—
2004#117—532no—
2005#117—534no—
2006#117—532no—
2007#117—532no—
2008#117—532no—
2009#117—532no—
2010#117—534no—
2011#117—534no—
2012#117—534no—
2013#117—534no—
2014#117—534no—
2015#117—534no—
2016#117C22×D5312yes—
2017#117C22×D5312yes—
2018#117C22×D5314yes—
2019#117C22×D5314yes—
2020#117C22×D5314yes—
2021#117C22×D5312yes—
2022C2×C4⋊C4—532no—
2023C2×C4⋊C4—532no—
2024C2×C4⋊C4—532no—
2025C2×C4⋊C4—532no—
2026C2×C4⋊C4—532no—
2027C2×C4⋊C4—532no—
2028C2×C4⋊C4—531no—
2029C2×C4⋊C4—534no—
2030C2×C4⋊C4—534no—
2031C2×C4⋊C4—532no—
2032C2×C4⋊C4—532no—
2033C2×C4⋊C4—532no—
2034C2×C4⋊C4—534no—
2035C2×C4⋊C4—534no—
2036C2×C4⋊C4—532no—
2037C2×C4⋊C4—534no—
2038C2×C4⋊C4—534no—
2039C2×C4⋊C4C22×D5312yes—
2040C2×C4⋊C4C22×D5311yescharacteristic
2041C2×C22⋊C4—532no—
2042C2×C22⋊C4—532no—
2043C2×C22⋊C4—534no—
2044C2×C42—532no—
2045C2×C42—531no—
2046C2×C42—532no—
2047C2×C42—531no—
2048C2×C42—531no—
2049C2×C42—534no—
2050C2×C42—531no—
2051C2×C42—531no—
2052C2×C42—532no—
2053C2×C42—531no—
2054C2×C42—531no—
2055C2×C42—531no—
2056C2×C42—531no—
2057C2×C42—531no—
2058C2×C42—531no—
2059C2×C42C22×D5312yes—
2060C2×C42C22×D5311yescharacteristic
2061C24—531no—
2062#41—1068no—
2063#41—1064no—
2064#41—1064no—
2065#41—2124no—
2066C2×Q8—42no—
2067C2×Q8—44no—
2068C2×Q8—532no—
2069C2×Q8—534no—
2070C2×Q8—532no—
2071C2×Q8—532no—
2072C2×Q8—532no—
2073C2×Q8—532no—
2074C2×Q8—532no—
2075C2×Q8—531no—
2076C2×Q8—532no—
2077C2×Q8—531no—
2078C2×Q8—531no—
2079C2×Q8—534no—
2080C2×Q8—532no—
2081C2×Q8—534no—
2082C2×Q8—534no—
2083C2×Q8—534no—
2084C2×Q8—532no—
2085C2×Q8—1068no—
2086C2×Q8—1068no—
2087C2×Q8—2122no—
2088C2×Q8—2124no—
2089C2×Q8—2124no—
2090C2×Q8—2124no—
2091C2×Q8—2124no—
2092C2×Q8C23×D5312yes—
2093C2×Q8C23×D5311yescharacteristic
2094C2×Q8C23×D5312yes—
2095C2×Q8C23×D5311yescharacteristic
2096C2×Q8C23×D5311yescharacteristic
2097C2×Q8C23×D5312yes—
2098C2×Q8C23×D5314yes—
2099C2×D4—532no—
2100C2×D4—532no—
2101C2×D4—532no—
2102C2×D4—532no—
2103C2×D4—532no—
2104C2×D4—532no—
2105C2×D4—531no—
2106C2×D4—532no—
2107C2×D4C23×D5312yes—
2108C2×D4C23×D5311yescharacteristic
2109C22×C4—531no—
2110C22×C4—531no—
2111C22×C4—531no—
2112C22×C4—532no—
2113C22×C4—532no—
2114C22×C4—532no—
2115C22×C4—531no—
2116C22×C4—532no—
2117C22×C4—534no—
2118C22×C4—531no—
2119C22×C4—531no—
2120C22×C4—531no—
2121C22×C4—531no—
2122C22×C4—531no—
2123C22×C4—531no—
2124C22×C4—531no—
2125C22×C4—531no—
2126C22×C4—531no—
2127C22×C4—534no—
2128C22×C4—532no—
2129C22×C4—532no—
2130C22×C4—532no—
2131C22×C4—531no—
2132C22×C4—531no—
2133C22×C4—534no—
2134C22×C4—534no—
2135C22×C4—534no—
2136C22×C4—1064no—
2137C22×C4—1064no—
2138C22×C4—2122no—
2139C22×C4C23×D5311yescharacteristic
2140C22×C4C23×D5311yescharacteristic
2141C22×C4C23×D5311yescharacteristic
2142C22×C4C23×D5312yes—
2143C22×C4C23×D5312yes—
2144C22×C4C23×D5312yes—
2145C22×C4C23×D5314yes—
2146C4⋊C4—532no—
2147C4⋊C4—532no—
2148C4⋊C4—534no—
2149C4⋊C4—534no—
2150C4⋊C4—532no—
2151C4⋊C4—532no—
2152C4⋊C4—532no—
2153C4⋊C4—534no—
2154C4⋊C4—532no—
2155C4⋊C4—531no—
2156C4⋊C4—531no—
2157C4⋊C4—532no—
2158C4⋊C4—532no—
2159C4⋊C4—532no—
2160C4⋊C4—534no—
2161C4⋊C4—532no—
2162C4⋊C4—532no—
2163C4⋊C4—532no—
2164C4⋊C4—532no—
2165C4⋊C4—532no—
2166C4⋊C4—532no—
2167C4⋊C4—532no—
2168C4⋊C4—532no—
2169C4⋊C4—532no—
2170C4⋊C4—534no—
2171C4⋊C4—534no—
2172C4⋊C4—534no—
2173C4⋊C4—534no—
2174C4⋊C4—534no—
2175C4⋊C4—534no—
2176C4⋊C4—532no—
2177C4⋊C4—532no—
2178C4⋊C4—534no—
2179C4⋊C4—534no—
2180C4⋊C4—532no—
2181C4⋊C4—534no—
2182C4⋊C4—532no—
2183C4⋊C4—532no—
2184C4⋊C4—532no—
2185C4⋊C4—532no—
2186C4⋊C4—534no—
2187C4⋊C4—532no—
2188C4⋊C4—532no—
2189C4⋊C4—534no—
2190C4⋊C4—532no—
2191C4⋊C4—534no—
2192C4⋊C4—532no—
2193C4⋊C4—532no—
2194C4⋊C4—531no—
2195C4⋊C4—532no—
2196C4⋊C4—531no—
2197C4⋊C4—532no—
2198C4⋊C4—532no—
2199C4⋊C4—532no—
2200C4⋊C4—532no—
2201C4⋊C4—532no—
2202C4⋊C4—532no—
2203C4⋊C4—532no—
2204C4⋊C4—532no—
2205C4⋊C4—532no—
2206C4⋊C4—532no—
2207C4⋊C4—534no—
2208C4⋊C4—534no—
2209C4⋊C4—534no—
2210C4⋊C4—534no—
2211C4⋊C4—534no—
2212C4⋊C4—534no—
2213C4⋊C4—534no—
2214C4⋊C4—534no—
2215C4⋊C4—534no—
2216C4⋊C4—534no—
2217C4⋊C4—534no—
2218C4⋊C4—534no—
2219C4⋊C4—534no—
2220C4⋊C4—534no—
2221C4⋊C4—534no—
2222C4⋊C4—534no—
2223C4⋊C4—534no—
2224C4⋊C4—534no—
2225C4⋊C4C23×D5312yes—
2226C4⋊C4C23×D5314yes—
2227C4⋊C4C23×D5312yes—
2228C4⋊C4C23×D5312yes—
2229C4⋊C4C23×D5312yes—
2230C4⋊C4C23×D5314yes—
2231C4⋊C4C23×D5314yes—
2232C4⋊C4C23×D5314yes—
2233C4⋊C4C23×D5311yescharacteristic
2234C4⋊C4C23×D5312yes—
2235C4⋊C4C23×D5311yescharacteristic
2236C4⋊C4C23×D5312yes—
2237C4⋊C4C23×D5312yes—
2238C4⋊C4C23×D5312yes—
2239C4⋊C4C23×D5312yes—
2240C4⋊C4C23×D5311yescharacteristic
2241C4⋊C4C23×D5312yes—
2242C4⋊C4C23×D5311yescharacteristic
2243C4⋊C4C23×D5312yes—
2244C4⋊C4C23×D5314yes—
2245C4⋊C4C23×D5314yes—
2246C4⋊C4C23×D5312yes—
2247C4⋊C4C23×D5312yes—
2248C4⋊C4C23×D5314yes—
2249C4⋊C4C23×D5314yes—
2250C4⋊C4C23×D5314yes—
2251C4⋊C4C23×D5314yes—
2252C22⋊C4—534no—
2253C22⋊C4—532no—
2254C22⋊C4—534no—
2255C22⋊C4—532no—
2256C22⋊C4—532no—
2257C22⋊C4—534no—
2258C22⋊C4—534no—
2259C22⋊C4—532no—
2260C22⋊C4—532no—
2261C22⋊C4—532no—
2262C22⋊C4—532no—
2263C22⋊C4—532no—
2264C22⋊C4—534no—
2265C22⋊C4—532no—
2266C22⋊C4—532no—
2267C22⋊C4—534no—
2268C22⋊C4—532no—
2269C22⋊C4—532no—
2270C22⋊C4—532no—
2271C22⋊C4—532no—
2272C22⋊C4—532no—
2273C22⋊C4—534no—
2274C22⋊C4—534no—
2275C22⋊C4—532no—
2276C22⋊C4—532no—
2277C22⋊C4—532no—
2278C22⋊C4—532no—
2279C22⋊C4—532no—
2280C22⋊C4—532no—
2281C22⋊C4—534no—
2282C22⋊C4—534no—
2283C22⋊C4—534no—
2284C22⋊C4—534no—
2285C22⋊C4C23×D5314yes—
2286C22⋊C4C23×D5312yes—
2287C22⋊C4C23×D5312yes—
2288C22⋊C4C23×D5312yes—
2289C22⋊C4C23×D5312yes—
2290C22⋊C4C23×D5312yes—
2291C22⋊C4C23×D5314yes—
2292C22⋊C4C23×D5314yes—
2293C22⋊C4C23×D5314yes—
2294C42—531no—
2295C42—531no—
2296C42—531no—
2297C42—531no—
2298C42—531no—
2299C42—531no—
2300C42—531no—
2301C42—531no—
2302C42—531no—
2303C42—531no—
2304C42—531no—
2305C42—531no—
2306C42—532no—
2307C42—532no—
2308C42—534no—
2309C42—532no—
2310C42—532no—
2311C42—532no—
2312C42—532no—
2313C42—532no—
2314C42—534no—
2315C42—534no—
2316C42—532no—
2317C42—532no—
2318C42—534no—
2319C42—534no—
2320C42—534no—
2321C42—534no—
2322C42—534no—
2323C42—534no—
2324C42—534no—
2325C42—534no—
2326C42—534no—
2327C42C23×D5311yescharacteristic
2328C42C23×D5311yescharacteristic
2329C42C23×D5311yescharacteristic
2330C42C23×D5311yescharacteristic
2331C42C23×D5314yes—
2332C42C23×D5312yes—
2333C42C23×D5312yes—
2334C42C23×D5312yes—
2335C42C23×D5312yes—
2336C42C23×D5312yes—
2337C42C23×D5314yes—
2338C42C23×D5314yes—
2339C42C23×D5314yes—
2340C23—531no—
2341C23—531no—
2342C23—532no—
2343C23—1062no—
2344C23—1062no—
2345C23—2121no—
2346C23C24×D5312yes—
2347C23C24×D5311yescharacteristic
2348Q8—24no—
2349Q8—22no—
2350Q8—22no—
2351Q8—22no—
2352Q8—24no—
2353Q8—42no—
2354Q8—44no—
2355Q8—1064no—
2356Q8—1064no—
2357Q8—1064no—
2358Q8—1064no—
2359Q8—1068no—
2360Q8—1064no—
2361Q8—1064no—
2362Q8—1062no—
2363Q8—1062no—
2364Q8—1064no—
2365Q8—1062no—
2366Q8—2122no—
2367Q8—2124no—
2368Q8—2124no—
2369Q8—2124no—
2370Q8—2124no—
2371Q8—2122no—
2372D4—24no—
2373D4—22no—
2374D4—1064no—
2375D4—1064no—
2376D4—1064no—
2377D4—1064no—
2378D4—1062no—
2379D4—2122no—
2380D4—2122no—
2381D4—2122no—
2382C2×C4—22no—
2383C2×C4—24no—
2384C2×C4—22no—
2385C2×C4—22no—
2386C2×C4—24no—
2387C2×C4—42no—
2388C2×C4—44no—
2389C2×C4—534no—
2390C2×C4—531no—
2391C2×C4—531no—
2392C2×C4—531no—
2393C2×C4—534no—
2394C2×C4—534no—
2395C2×C4—532no—
2396C2×C4—532no—
2397C2×C4—532no—
2398C2×C4—532no—
2399C2×C4—532no—
2400C2×C4—531no—
2401C2×C4—531no—
2402C2×C4—534no—
2403C2×C4—532no—
2404C2×C4—532no—
2405C2×C4—531no—
2406C2×C4—1062no—
2407C2×C4—1062no—
2408C2×C4—1062no—
2409C2×C4—1062no—
2410C2×C4—1062no—
2411C2×C4—1064no—
2412C2×C4—1064no—
2413C2×C4—1062no—
2414C2×C4—1068no—
2415C2×C4—1062no—
2416C2×C4—1064no—
2417C2×C4—1064no—
2418C2×C4—1064no—
2419C2×C4—1062no—
2420C2×C4—1062no—
2421C2×C4—1062no—
2422C2×C4—1064no—
2423C2×C4—2121no—
2424C2×C4—2121no—
2425C2×C4—2124no—
2426C2×C4—2124no—
2427C2×C4—2124no—
2428C2×C4—2121no—
2429C2×C4—2122no—
2430C2×C4—2124no—
2431C2×C4C24×D5311yescharacteristic
2432C2×C4C24×D5311yescharacteristic
2433C2×C4C24×D5312yes—
2434C2×C4C24×D5312yes—
2435C2×C4C24×D5314yes—
2436C2×C4C24×D5312yes—
2437C2×C4C24×D5312yes—
2438C2×C4C24×D5311yescharacteristic
2439C2×C4C24×D5311yescharacteristic
2440C2×C4C24×D5314yes—
2441C2×C4C24×D5312yes—
2442C2×C4C24×D5312yes—
2443C2×C4C24×D5312yes—
2444C2×C4C24×D5311yescharacteristic
2445C2×C4C24×D5311yescharacteristic
2446C22—21no—
2447C22—21no—
2448C22—22no—
2449C22—22no—
2450C22—22no—
2451C22—532no—
2452C22—1061no—
2453C22—1061no—
2454C22—1061no—
2455C22—1061no—
2456C22—1062no—
2457C22—1062no—
2458C22—1062no—
2459C22—1061no—
2460C22—2124no—
2461C222−1+4×D5312yes—
2462C22C25×D5311yescharacteristic
2463C4—21no—
2464C4—21no—
2465C4—21no—
2466C4—22no—
2467C4—22no—
2468C4—22no—
2469C4—22no—
2470C4—24no—
2471C4—21no—
2472C4—22no—
2473C4—22no—
2474C4—22no—
2475C4—24no—
2476C4—532no—
2477C4—532no—
2478C4—532no—
2479C4—1061no—
2480C4—1062no—
2481C4—1062no—
2482C4—1062no—
2483C4—1062no—
2484C4—1064no—
2485C4—1061no—
2486C4—1061no—
2487C4—1062no—
2488C4—1064no—
2489C4—1062no—
2490C4—1062no—
2491C42−1+4×D5312yes—
2492C4#1681145912yes—
2493C2—22no—
2494C2—42no—
2495C2—1062no—
2496C2—2121no—
2497C2—2122no—
2498C2C2×2−1+4×D5311yescharacteristic
2499C2C2×2−1+4×D5311yescharacteristic
2500C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3523C2
prime radical#20288009C2
hypercenter#3523D53
hypocenterC53#62837
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3523

Complements

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

NH ≅ G/Ntype
1. #20289313C2semidirect
2. #20289312C2semidirect
3. #20289207C2semidirect
4. #20289207C2semidirect
5. #20289202C2semidirect
6. #20289196C2semidirect
7. #20289195C2semidirect
8. #20289128C2semidirect
9. #20289122C2semidirect
10. #20288961C2semidirect
11. #20288956C2semidirect
12. #20288811C2semidirect
13. #20288809C2semidirect
14. #20288807C2semidirect
15. #20288805C2semidirect
16. #20288803C2semidirect
17. #20288598C2semidirect
18. #20288597C2semidirect
19. #20288596C2semidirect
20. #20288595C2semidirect
21. #20288593C2semidirect
22. #20288576C2semidirect
23. #20288571C2semidirect
24. #20288532C2semidirect
25. #20288526C2semidirect
26. #20288526C2semidirect
27. #20288522C2semidirect
28. #20288520C2semidirect
29. #20288462C2semidirect
30. #20288458C2semidirect
31. #20288455C2semidirect
33. C2×#16811177C2semidirect
34. #533×D53C2semidirect
35. C53×#3523C2semidirect
36. C53⋊#564C22semidirect
37. C53⋊#564C22semidirect
40. #16811375C22semidirect
42. #16811374C22semidirect
44. #16811356C22semidirect
45. #16811355C22semidirect
46. Q8×Dic106C22semidirect
47. Q8×Dic106C22semidirect
48. #16811353C22semidirect
49. #16811353C22semidirect
50. #16811353C22semidirect
51. #16811352C22semidirect
52. #16811352C22semidirect
53. #16811351C22semidirect
54. #16811351C22semidirect
55. #16811351C22semidirect
56. #16811351C22semidirect
57. #16811351C22semidirect
58. #16811351C22semidirect
59. #16811351C22semidirect
60. #16811351C22semidirect
61. #16811351C22semidirect
62. #16811350C22semidirect
63. #16811350C22semidirect
64. #16811350C22semidirect
65. #16811350C22semidirect
66. #16811350C22semidirect
67. #16811350C22semidirect
68. #16811350C22semidirect
69. #16811349C22semidirect
70. #16811349C22semidirect
71. #16811349C22semidirect
72. #16811348C22semidirect
73. #16811348C22semidirect
74. #16811348C22semidirect
75. #16811348C22semidirect
76. #16811348C22semidirect
77. #16811347C22semidirect
78. #16811346C22semidirect
79. #16811346C22semidirect
82. #16811345C22semidirect
83. #16811345C22semidirect
84. #16811344C22semidirect
85. #16811343C22semidirect
86. #16811342C22semidirect
87. #16811342C22semidirect
88. #16811341C22semidirect
89. #16811341C22semidirect
92. #16811340C22semidirect
93. #16811340C22semidirect
95. #16811332C22semidirect
97. #16811329C22semidirect
100. #16811327C22semidirect
112. #16811309C22semidirect
113. #16811309C22semidirect
121. #16811306C22semidirect
122. #16811306C22semidirect
132. Q8×D212C22semidirect
134. D4×Dic106C22semidirect
136. #16811288C22semidirect
139. Q8×C22⋊D53C22semidirect
142. #16811286C22semidirect
145. #16811253C22semidirect
148. #16811252C22semidirect
149. #16811252C22semidirect
153. #16811250C22semidirect
162. #16811235C22semidirect
163. #16811235C22semidirect
168. #16811232C22semidirect
169. #16811232C22semidirect
170. #16811232C22semidirect
171. #16811232C22semidirect
176. #16811231C22semidirect
177. #16811231C22semidirect
178. #16811231C22semidirect
179. #16811231C22semidirect
180. #16811230C22semidirect
181. #16811230C22semidirect
182. #16811230C22semidirect
183. #16811230C22semidirect
200. #16811179C22semidirect
219. #16811177C22semidirect
220. #16811177C22semidirect
222. #16811176C22semidirect
228. #16811175C22semidirect
229. #16811175C22semidirect
235. C2×#13133215C22semidirect
238. C4⋊Q8×D53C22semidirect
266. #16811100C22semidirect
269. #16811099C22semidirect
270. #16811099C22semidirect
282. C53×#557C22semidirect
283. C53×#557C22semidirect
284. C53×#557C22semidirect
285. C53×#556C22semidirect
286. C53×#556C22semidirect
290. D4×Q8×C53C22semidirect
291. C53×#541C22semidirect
292. C53×#541C22semidirect
297. C53×#519C22semidirect
1259. #3523D53semidirect
1327. #557C2×D53semidirect
1328. #557C2×D53semidirect
1329. #557C2×D53semidirect
1347. #556C2×D53semidirect
1348. #556C2×D53semidirect
1401. D4×Q8C2×D53semidirect
1443. #541C2×D53semidirect
1444. #541C2×D53semidirect
1536. #519C2×D53semidirect
1549. C53#62837semidirect

Maximal subgroups

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

subgroupindex
#202893132
#202893122
#202892072
#202892022
#202891962
#202891952
#202891282
#202891222
#202889612
#202889562
#202888112
#202888092
#202888072
#202888052
#202888032
#202885982
#202885972
#202885962
#202885952
#202885932
#202885762
#202885712
#202885322
#202885262
#202885222
#202885202
#202884622
#202884582
#202884552
#202880092
C2×#168111772
#533×D532
C53×#35232
#6283753