Finite Group Databasebeta

← #28291940

Subgroups — #28291940

Order 13568.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289222C212yesmaximal, complemented
2#20289218C212yesmaximal, complemented
3#20289207C211yesmaximal, characteristic, complemented
4#20289197C211yesmaximal, characteristic, complemented
5#20289193C212yesmaximal, complemented
6#20289188C211yesmaximal, characteristic, complemented
7#20289186C211yesmaximal, characteristic, complemented
8#20289184C212yesmaximal, complemented
9#20289169C214yesmaximal, complemented
10#20289159C212yesmaximal, complemented
11#20289155C212yesmaximal, complemented
12#20289128C211yesmaximal, characteristic, complemented
13#20289121C211yesmaximal, characteristic, complemented
14#20289114C211yesmaximal, characteristic, complemented
15#20289015C212yesmaximal, complemented
16#20289011C212yesmaximal, complemented
17#20289005C214yesmaximal, complemented
18#20288861C214yesmaximal, complemented
19#20288334C212yesmaximal, complemented
20#20288329C212yesmaximal, complemented
21#20288315C211yesmaximal, characteristic, complemented
22#20288307C212yesmaximal, complemented
23#20288307C211yesmaximal, characteristic, complemented
24Q8×#11719949C211yesmaximal, characteristic, complemented
25#20288297C212yesmaximal, complemented
26#20288294C211yesmaximal, characteristic, complemented
27#20288149C212yesmaximal, complemented
28#20288147C212yesmaximal, complemented
29#20288147C214yesmaximal, complemented
30#20288106C212yesmaximal, complemented
31#20288102C212yesmaximal, complemented
32#20288012C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34#533×D53C211yesmaximal, characteristic, complemented
35C53×#3555C211yesmaximal, characteristic, complemented
36C53⋊#564C2214yescomplemented
37#16811377C2214yescomplemented
38#16811375C2214yes—
39#16811375C2214yes—
40#16811375C2214yescomplemented
41#16811375C2214yescomplemented
42#16811374C2214yes—
43#16811374C2214yescomplemented
44#16811372C2214yescomplemented
45#16811372C2214yescomplemented
46#16811370C2214yes—
47#16811370C2214yes—
48#16811369C2214yes—
49#16811369C2214yescomplemented
50#16811367C2214yes—
51#16811358C2211yescharacteristic, complemented
52#16811358C2212yescomplemented
53#16811358C2211yescharacteristic, complemented
54#16811358C2212yescomplemented
55#16811355C2212yescomplemented
56#16811355C2212yescomplemented
57#16811355C2212yescomplemented
58Q8×Dic106C2212yescomplemented
59#16811353C2211yescharacteristic, complemented
60#16811352C2211yescharacteristic, complemented
61#16811352C2212yescomplemented
62#16811351C2211yescharacteristic, complemented
63#16811351C2212yescomplemented
64#16811350C2212yescomplemented
65#16811350C2212yescomplemented
66#16811349C2212yescomplemented
67#16811349C2212yescomplemented
68#16811348C2212yescomplemented
69#16811348C2211yescharacteristic, complemented
70#16811347C2211yescharacteristic, complemented
71#16811347C2212yescomplemented
72#16811345C2212yescomplemented
73#16811345C2212yescomplemented
74#16811345C2212yescomplemented
75#16811345C2212yescomplemented
76#16811341C2212yes—
77#16811341C2212yescomplemented
78#16811340C2214yes—
79#16811334C2212yes—
80#16811334C2214yes—
81#16811334C2211yescharacteristic, complemented
82#16811334C2212yescomplemented
83#16811333C2214yes—
84#16811333C2212yescomplemented
85#16811332C2212yescomplemented
86#16811329C2214yes—
87#16811329C2214yes—
88#16811329C2212yescomplemented
89#16811329C2212yescomplemented
90#16811328C2212yes—
91#16811327C2214yes—
92#16811326C2212yes—
93#16811326C2214yes—
94#16811324C2214yes—
95#16811324C2214yes—
96#16811324C2214yes—
97#16811317C2212yes—
98#16811317C2214yes—
99#16811314C2214yescomplemented
100#16811312C2212yes—
101#16811309C2214yes—
102#16811309C2214yescomplemented
103#16811306C2214yescomplemented
104#16811305C2214yescomplemented
105#16811295C2211yescharacteristic, complemented
106#16811294C2212yescomplemented
107#16811294C2211yescharacteristic, complemented
108Q8×D212C2212yes—
109Q8×D212C2211yescharacteristic, complemented
110D4×Dic106C2211yescharacteristic, complemented
111#16811288C2214yes—
112#16811288C2212yescomplemented
113#16811288C2212yescomplemented
114#16811286C2212yes—
115#16811286C2212yescomplemented
116#16811285C2212yes—
117#16811283C2214yes—
118#16811283C2212yes—
119#16811283C2212yes—
120#16811282C2212yes—
121#16811281C2214yes—
122#16811278C2212yes—
123#16811275C2212yes—
124#16811275C2212yescomplemented
125#16811274C2212yescomplemented
126#16811271C2214yes—
127#16811253C2212yescomplemented
128#16811253C2214yescomplemented
129#16811247C2212yes—
130#16811247C2212yes—
131#16811247C2214yes—
132#16811247C2212yescomplemented
133#16811246C2212yes—
134#16811246C2212yes—
135#16811245C2212yes—
136#16811245C2212yes—
137#16811245C2212yes—
138#16811245C2214yes—
139#16811244C2212yes—
140#16811244C2214yes—
141#16811244C2212yescomplemented
142#16811242C2212yes—
143#16811239C2214yes—
144#16811239C2214yes—
145#16811239C2214yescomplemented
146#16811236C2212yes—
147#16811236C2212yescomplemented
148#16811236C2214yescomplemented
149#16811234C2212yes—
150#16811233C2212yes—
151#16811232C2214yes—
152#16811232C2214yescomplemented
153#16811232C2214yescomplemented
154#16811231C2212yes—
155#16811231C2212yes—
156#16811231C2214yescomplemented
157#16811229C2212yes—
158#16811228C2212yes—
159#16811226C2212yes—
160#16811224C2212yes—
161#16811222C2214yes—
162#16811222C2214yescomplemented
163#16811221C2214yes—
164#16811221C2214yes—
165#16811221C2214yes—
166#16811221C2214yes—
167#16811221C2214yescomplemented
168#16811219C2214yes—
169#16811214C2214yes—
170#16811214C2214yes—
171#16811214C2214yescomplemented
172#16811214C2214yescomplemented
173#16811212C2214yes—
174#16811212C2214yes—
175#16811209C2214yes—
176#16811207C2214yes—
177#16811204C2212yes—
178#16811203C2214yes—
179#16811203C2212yes—
180#16811199C2212yes—
181#16811199C2212yescomplemented
182#16811198C2214yes—
183#16811198C2212yescomplemented
184#16811196C2212yes—
185#16811196C2214yescomplemented
186#16811180C2211yescharacteristic
187#16811179C2212yes—
188#16811179C2211yescharacteristic
189#16811179C2212yes—
190#16811179C2214yescomplemented
191#16811179C2214yescomplemented
192#16811178C2211yescharacteristic
193#16811178C2211yescharacteristic
194#16811178C2211yescharacteristic
195#16811178C2211yescharacteristic
196#16811178C2212yes—
197#16811178C2214yescomplemented
198#16811178C2212yescomplemented
199#16811178C2214yescomplemented
200#16811177C2211yescharacteristic
201#16811177C2211yescharacteristic
202#16811177C2212yes—
203#16811177C2211yescharacteristic
204#16811176C2212yes—
205#16811175C2211yescharacteristic
206#16811175C2211yescharacteristic
207#16811175C2212yes—
208#16811175C2211yescharacteristic
209#16811175C2212yescomplemented
210#16811175C2214yescomplemented
211#16811174C2211yescharacteristic
212#16811174C2211yescharacteristic
213#16811174C2212yes—
214#16811173C2211yescharacteristic
215#16811172C2211yescharacteristic
216#16811172C2212yes—
217#16811170C2211yescharacteristic
218#16811168C2211yescharacteristic
219C4⋊Q8×D53C2211yescharacteristic
220C4⋊Q8×D53C2211yescharacteristic
221#16811160C2212yes—
222#16811160C2212yes—
223#16811159C2212yes—
224#16811159C2212yes—
225#16811159C2214yes—
226#16811159C2212yescomplemented
227#16811159C2214yescomplemented
228#16811158C2211yescharacteristic
229#16811158C2212yes—
230#16811158C2212yes—
231#16811158C2214yes—
232#16811158C2214yes—
233#16811158C2212yescomplemented
234#16811158C2214yescomplemented
235#16811157C2211yescharacteristic
236#16811156C2212yes—
237#16811156C2212yes—
238#16811156C2214yes—
239#16811156C2214yes—
240#16811156C2214yes—
241#16811156C2214yescomplemented
242#16811156C2214yescomplemented
243#16811156C2214yescomplemented
244#16811152C2211yescharacteristic
245#16811152C2214yes—
246#16811151C2212yes—
247#16811150C2212yes—
248#16811150C2214yes—
249#125×D53C2212yes—
250#16811136C2211yescharacteristic
251#16811136C2212yes—
252#16811136C2212yes—
253#16811135C2212yes—
254#16811133C2211yescharacteristic
255#16811132C2212yes—
256#16811131C2212yes—
257C22⋊Q8×D53C2212yes—
258C22⋊Q8×D53C2211yescharacteristic
259C22⋊Q8×D53C2211yescharacteristic
260C4×#11719949C2211yescharacteristic
261C4×#11719949C2212yes—
262C4×#11719949C2212yes—
263C4×#11719949C2212yes—
264C4×#11719949C2212yes—
265C4×#11719949C2212yes—
266C4×#11719949C2212yescomplemented
267#16811091C2212yes—
268#16811091C2212yes—
269#16811091C2214yescomplemented
270#16811091C2212yescomplemented
271C4×#11719947C2211yescharacteristic
272C4×#11719947C2212yes—
273C4×#11719947C2212yes—
274C2×#13133182C2212yescomplemented
275C4×Q8×D53C2211yescharacteristic
276C4×Q8×D53C2212yes—
277C4×Q8×D53C2211yescharacteristic
278C4×Q8×D53C2214yescomplemented
279C4×Q8×D53C2212yescomplemented
280#117×D53C2212yes—
281C2×C42×D53C2211yescharacteristic
282C53×#563C2214yes—
283Q82×C53C2211yescharacteristic, complemented
284C53×#557C2212yescomplemented
285C53×#557C2211yescharacteristic, complemented
286C53×#556C2212yes—
287C53×#556C2211yescharacteristic, complemented
288C53×#556C2212yescomplemented
289C53×#554C2211yescharacteristic, complemented
290C53×#552C2212yes—
291C53×#544C2212yescomplemented
292C53×#542C2212yes—
293C53×#541C2212yes—
294C53×#541C2212yescomplemented
295C53×#541C2214yescomplemented
296C53×#533C2211yescharacteristic
297C53×#533C2211yescharacteristic
298C53×#529C2211yescharacteristic
299C2×#11719949C2311yescharacteristic
300C2×#11719949C2312yes—
301C2×#11719949C2312yes—
302C2×#11719949C2312yes—
303C2×#11719945C2314yes—
304C2×#11719945C2312yes—
305C2×#11719945C2312yes—
306C2×#11719945C2312yes—
307C2×#11719947C2311yescharacteristic
308C2×#11719947C2312yes—
309C22×Dic106C2312yes—
310C2×Q8×D53C2314yes—
311C2×Q8×D53C2312yes—
312C2×Q8×D53C2311yescharacteristic
313C2×Q8×D53C2312yes—
314C2×Q8×D53C2311yescharacteristic
315C22×C4×D53C2311yescharacteristic
316C22×C4×D53C2311yescharacteristic
317C22×C4×D53C2311yescharacteristic
318#13133217C2312yes—
319#13133217C2311yescharacteristic
320#13133217C2314yes—
321#13133217C2312yes—
322#13133217C2314yes—
323#13133217C2311yescharacteristic
324#13133217C2311yescharacteristic
325#13133216C2314yes—
326#13133216C2311yescharacteristic
327#13133216C2314yes—
328#13133216C2314yes—
329#13133216C2314yes—
330#13133216C2311yescharacteristic
331#13133216C2311yescharacteristic
332#13133216C2312yes—
333#13133216C2312yes—
334#13133216C2312yes—
335#13133216C2314yes—
336#13133216C2311yescharacteristic
337#13133216C2312yes—
338#13133216C2312yes—
339#13133216C2312yes—
340#13133215C2312yes—
341#13133215C2311yescharacteristic
342#13133215C2311yescharacteristic
343#13133215C2314yes—
344#13133215C2311yescharacteristic
345#13133215C2312yes—
346#13133215C2312yes—
347#13133214C2311yescharacteristic
348#13133214C2312yes—
349#13133213C2311yescharacteristic
350#13133213C2312yes—
351#13133212C2314yes—
352#13133212C2314yes—
353#13133212C2314yes—
354#13133212C2314yes—
355#13133212C2314yes—
356#13133212C2314yes—
357#13133212C2314yes—
358#13133212C2312yes—
359#13133212C2314yes—
360#13133212C2314yes—
361#13133212C2314yes—
362#13133212C2314yes—
363#13133212C2314yes—
364#13133212C2314yes—
365#13133212C2314yes—
366#13133212C2314yes—
367#13133211C2314yes—
368#13133211C2314yes—
369#13133211C2314yes—
370#13133211C2314yes—
371#13133211C2314yes—
372#13133211C2312yes—
373#13133211C2314yes—
374#13133210C2314yes—
375#13133210C2314yes—
376#13133210C2314yes—
377#13133210C2312yes—
378#13133209C2314yes—
379#13133209C2314yes—
380#13133209C2312yes—
381#13133209C2314yes—
382#13133209C2311yescharacteristic
383#13133209C2312yes—
384#13133208C2314yes—
385#13133208C2312yes—
386#13133208C2314yes—
387#13133208C2314yes—
388#13133208C2314yes—
389#13133208C2312yes—
390#13133208C2312yes—
391#13133208C2312yes—
392#13133208C2314yes—
393#13133208C2314yes—
394#13133208C2312yes—
395#13133208C2312yes—
396#13133208C2312yes—
397#13133208C2314yes—
398#13133207C2312yes—
399#13133207C2314yes—
400#13133207C2314yes—
401#13133207C2314yes—
402#13133207C2314yes—
403#13133207C2312yes—
404#13133207C2314yes—
405#13133207C2314yes—
406#13133207C2314yes—
407#13133207C2314yes—
408#13133207C2314yes—
409#13133207C2312yes—
410#13133207C2312yes—
411#13133207C2312yes—
412#13133207C2312yes—
413#13133207C2314yes—
414#13133206C2312yes—
415#13133206C2314yes—
416#13133206C2312yes—
417#13133206C2312yes—
418#13133206C2312yes—
419#13133206C2312yes—
420#13133206C2314yes—
421#13133205C2312yes—
422#13133205C2314yes—
423#13133205C2311yescharacteristic
424#13133205C2312yes—
425#13133205C2312yes—
426#13133205C2314yes—
427#13133205C2314yes—
428#13133203C2314yes—
429#13133203C2314yes—
430#13133203C2314yes—
431#13133203C2314yes—
432#13133203C2314yes—
433#13133203C2314yes—
434#13133203C2312yes—
435#13133203C2312yes—
436#13133203C2314yes—
437#13133202C2314yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2314yes—
444#13133202C2314yes—
445#13133202C2312yes—
446#13133202C2312yes—
447#13133202C2314yes—
448#13133202C2314yes—
449#13133202C2314yes—
450#13133202C2314yes—
451#13133202C2314yes—
452#13133202C2314yes—
453#13133202C2314yes—
454#13133201C2314yes—
455#13133201C2314yes—
456#13133201C2314yes—
457#13133201C2314yes—
458#13133201C2314yes—
459#13133201C2314yes—
460#13133200C2314yes—
461#13133200C2312yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133199C2314yes—
466#13133199C2314yes—
467#13133199C2314yes—
468#13133199C2314yes—
469#13133199C2312yes—
470#13133199C2312yes—
471#13133199C2314yes—
472#13133197C2312yes—
473#13133197C2312yes—
474#13133197C2312yes—
475#13133197C2314yes—
476#13133197C2312yes—
477#13133197C2314yes—
478#13133197C2314yes—
479#13133197C2314yes—
480#13133197C2314yes—
481#13133197C2314yes—
482#13133197C2311yescharacteristic
483#13133197C2311yescharacteristic
484#13133197C2312yes—
485#13133197C2311yescharacteristic
486#13133197C2312yes—
487#13133197C2314yes—
488#13133197C2314yes—
489#13133196C2311yescharacteristic
490#13133196C2312yes—
491#13133196C2311yescharacteristic
492#13133196C2314yes—
493#13133196C2312yes—
494#13133196C2311yescharacteristic
495#13133195C2314yes—
496#13133195C2314yes—
497#13133195C2314yes—
498#13133195C2314yes—
499#13133195C2314yes—
500#13133195C2314yes—
501#13133195C2314yes—
502#13133195C2314yes—
503#13133195C2314yes—
504#13133195C2312yes—
505#13133195C2314yes—
506#13133195C2314yes—
507#13133195C2314yes—
508#13133195C2314yes—
509#13133195C2312yes—
510#13133195C2314yes—
511#13133195C2314yes—
512#13133195C2312yes—
513#13133195C2312yes—
514#13133195C2312yes—
515#13133195C2312yes—
516#13133195C2312yes—
517#13133195C2314yes—
518#13133194C2312yes—
519#13133194C2312yes—
520#13133194C2314yes—
521#13133194C2314yes—
522#13133194C2314yes—
523#13133194C2314yes—
524#13133194C2312yes—
525#13133194C2312yes—
526#13133194C2312yes—
527#13133193C2314yes—
528#13133193C2314yes—
529#13133193C2314yes—
530#13133193C2314yes—
531#13133193C2314yes—
532#13133193C2312yes—
533#13133193C2314yes—
534#13133193C2314yes—
535#13133193C2311yescharacteristic
536#13133193C2311yescharacteristic
537#13133193C2312yes—
538#13133193C2311yescharacteristic
539#13133193C2312yes—
540#13133192C2312yes—
541#13133192C2312yes—
542#13133192C2314yes—
543#13133192C2314yes—
544#13133192C2314yes—
545#13133192C2312yes—
546#13133192C2312yes—
547#13133192C2311yescharacteristic
548#13133192C2312yes—
549#13133192C2314yes—
550#13133192C2314yes—
551#13133191C2312yes—
552#13133191C2314yes—
553#13133191C2312yes—
554#13133191C2311yescharacteristic
555#13133191C2312yes—
556#13133191C2314yes—
557#13133190C2314yes—
558#13133190C2314yes—
559#13133190C2314yes—
560#13133190C2312yes—
561#13133190C2314yes—
562#13133190C2314yes—
563#13133190C2314yes—
564#13133190C2314yes—
565#13133190C2312yes—
566#13133190C2312yes—
567#13133190C2314yes—
568#13133189C2314yes—
569#13133189C2312yes—
570#13133188C2314yes—
571#13133188C2311yescharacteristic
572#13133187C2312yes—
573#13133187C2314yes—
574#13133185C2312yes—
575Q8×Dic53C2311yescharacteristic
576Q8×Dic53C2311yescharacteristic
577Q8×Dic53C2312yes—
578Q8×Dic53C2314yes—
579Q8×Dic53C2312yes—
580Q8×Dic53C2311yescharacteristic
581Q8×Dic53C2312yes—
582Q8×Dic53C2312yes—
583Q8×Dic53C2312yes—
584Q8×Dic53C2312yes—
585C4×Dic106C2314yes—
586C4×Dic106C2312yes—
587C4×Dic106C2314yes—
588C4×Dic106C2312yes—
589C4×Dic106C2312yes—
590C4×Dic106C2311yescharacteristic
591C4×Dic106C2312yes—
592C4×Dic106C2311yescharacteristic
593C4×Dic106C2314yes—
594C4×Dic106C2314yes—
595C4×Dic106C2312yes—
596C4×Dic106C2312yes—
597C4×Dic106C2312yes—
598C4×Dic106C2312yes—
599C4×Dic106C2311yescharacteristic
600#13133182C2312yes—
601#13133182C2314yes—
602#13133182C2312yes—
603#13133182C2312yes—
604#13133182C2312yes—
605#13133182C2314yes—
606#13133182C2312yes—
607#13133182C2311yescharacteristic
608#13133182C2311yescharacteristic
609#13133182C2312yes—
610#13133182C2312yes—
611#13133182C2312yes—
612#13133182C2312yes—
613#13133182C2312yes—
614#13133182C2312yes—
615#13133182C2314yes—
616#13133182C2314yes—
617#13133182C2314yes—
618#13133182C2311yescharacteristic
619#13133182C2312yes—
620#13133182C2312yes—
621#13133182C2312yes—
622C4×D212C2312yes—
623C4×D212C2314yes—
624C4×D212C2312yes—
625C4×D212C2314yes—
626C4×D212C2314yes—
627C4×D212C2312yes—
628C4×D212C2314yes—
629C4×D212C2311yescharacteristic
630C4×D212C2312yes—
631C4×D212C2312yes—
632C4×D212C2314yes—
633C4×D212C2312yes—
634C4×D212C2314yes—
635C4×D212C2312yes—
636D4×Dic53C2312yes—
637D4×Dic53C2311yescharacteristic
638D4×Dic53C2312yes—
639#13133179C2312yes—
640#13133179C2312yes—
641#13133179C2314yes—
642#13133179C2314yes—
643#13133179C2314yes—
644#13133179C2314yes—
645#13133179C2314yes—
646#13133179C2312yes—
647#13133179C2312yes—
648#13133179C2312yes—
649#13133179C2312yes—
650#13133179C2312yes—
651#13133179C2311yescharacteristic
652#13133179C2312yes—
653#13133179C2312yes—
654#13133179C2312yes—
655#13133179C2314yes—
656#13133179C2314yes—
657#13133179C2312yes—
658#13133179C2314yes—
659C4×C22⋊D53C2312yes—
660C4×C22⋊D53C2312yes—
661C4×C22⋊D53C2312yes—
662C4×C22⋊D53C2314yes—
663#13133177C2314yes—
664#13133177C2314yes—
665#13133177C2314yes—
666#13133177C2314yes—
667#13133177C2314yes—
668#13133177C2312yes—
669#13133177C2312yes—
670#13133177C2312yes—
671#13133177C2312yes—
672#13133177C2312yes—
673#13133177C2314yes—
674#13133177C2312yes—
675#13133177C2312yes—
676#13133177C2314yes—
677#13133177C2314yes—
678#13133176C2312yes—
679#13133175C2312yes—
680#13133175C2314yes—
681#13133175C2312yes—
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133175C2311yescharacteristic
686#13133175C2311yescharacteristic
687#13133175C2312yes—
688#13133175C2312yes—
689#13133175C2314yes—
690#13133175C2314yes—
691#13133175C2314yes—
692#13133175C2314yes—
693#13133175C2314yes—
694#13133174C2314yes—
695#13133174C2314yes—
696#13133174C2314yes—
697#13133174C2314yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133174C2312yes—
701#13133174C2312yes—
702#13133173C2312yes—
703#13133173C2312yes—
704#13133173C2312yes—
705#13133173C2312yes—
706#13133173C2312yes—
707#13133173C2314yes—
708C2×#11719919C2314yes—
709C4⋊C4×D53C2314yes—
710C4⋊C4×D53C2312yes—
711C4⋊C4×D53C2314yes—
712C4⋊C4×D53C2314yes—
713C4⋊C4×D53C2314yes—
714C4⋊C4×D53C2312yes—
715C4⋊C4×D53C2311yescharacteristic
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2312yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2311yescharacteristic
721C4⋊C4×D53C2312yes—
722C4⋊C4×D53C2312yes—
723C22⋊C4×D53C2312yes—
724C22⋊C4×D53C2312yes—
725C2×C4×Dic53C2311yescharacteristic
726C2×C4×Dic53C2311yescharacteristic
727C2×C4×Dic53C2311yescharacteristic
728C2×C4×Dic53C2312yes—
729C2×C4×Dic53C2314yes—
730C42×D53C2311yescharacteristic
731C42×D53C2311yescharacteristic
732C42×D53C2311yescharacteristic
733C42×D53C2311yescharacteristic
734C42×D53C2311yescharacteristic
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2312yes—
739C42×D53C2312yes—
740C42×D53C2312yes—
741C42×D53C2314yes—
742C42×D53C2314yes—
743C42×D53C2314yes—
744C42×D53C2314yes—
745C4⋊Q8×C53C2314yes—
746C4⋊Q8×C53C2312yes—
747C4⋊Q8×C53C2312yes—
748C4⋊Q8×C53C2311yescharacteristic
749C4⋊Q8×C53C2311yescharacteristic
750C4⋊Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2314yes—
754#126×C53C2312yes—
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#126×C53C2314yes—
759#126×C53C2314yes—
760#126×C53C2314yes—
761#125×C53C2314yes—
762#125×C53C2311yescharacteristic
763#125×C53C2312yes—
764#125×C53C2312yes—
765#125×C53C2314yes—
766#125×C53C2314yes—
767#125×C53C2312yes—
768#125×C53C2314yes—
769#125×C53C2314yes—
770#125×C53C2312yes—
771#124×C53C2314yes—
772#124×C53C2311yescharacteristic
773#124×C53C2312yes—
774#123×C53C2314yes—
775#123×C53C2312yes—
776C22⋊Q8×C53C2311yescharacteristic
777C22⋊Q8×C53C2312yes—
778C22⋊Q8×C53C2311yescharacteristic
779C22⋊Q8×C53C2312yes—
780C22⋊Q8×C53C2314yes—
781C22⋊Q8×C53C2311yescharacteristic
782C22⋊Q8×C53C2312yes—
783C22⋊Q8×C53C2312yes—
784C22⋊Q8×C53C2312yes—
785C22⋊Q8×C53C2314yes—
786C22⋊Q8×C53C2314yes—
787#121×C53C2311yescharacteristic
788C4×Q8×C53C2312yes—
789C4×Q8×C53C2312yes—
790C4×Q8×C53C2311yescharacteristic
791C4×Q8×C53C2311yescharacteristic
792C4×Q8×C53C2311yescharacteristic
793C4×Q8×C53C2312yes—
794C4×Q8×C53C2312yes—
795C4×Q8×C53C2312yes—
796C4×Q8×C53C2314yes—
797C4×Q8×C53C2312yes—
798C4×Q8×C53C2312yes—
799C4×Q8×C53C2312yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2311yescharacteristic
802C4×D4×C53C2312yes—
803#117×C53C2314yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806#117×C53C2312yes—
807#117×C53C2312yes—
808C2×C4⋊C4×C53C2312yes—
809C2×C42×C53C2311yescharacteristic
810C23×D53C2411yescharacteristic
811C2×Q8×C53C2411yescharacteristic
812C2×Q8×C53C2411yescharacteristic
813C2×Q8×C53C2411yescharacteristic
814C2×Q8×C53C2412yes—
815C2×Q8×C53C2412yes—
816C2×Q8×C53C2412yes—
817C2×Q8×C53C2414yes—
818C2×D4×C53C2411yescharacteristic
819C2×D4×C53C2412yes—
820C22×C4×C53C2411yescharacteristic
821C22×C4×C53C2411yescharacteristic
822C22×C4×C53C2412yes—
823C22×C4×C53C2411yescharacteristic
824C22×C4×C53C2414yes—
825C2×C22⋊D53C2412yes—
826C2×C22⋊D53C2412yes—
827C2×C22⋊D53C2412yes—
828C2×C22⋊D53C2414yes—
829C2×C22⋊D53C2414yes—
830C2×C22⋊D53C2414yes—
831C2×C22⋊D53C2412yes—
832C2×C22⋊D53C2412yes—
833C22×Dic53C2412yes—
834C22×Dic53C2411yescharacteristic
835C22×Dic53C2411yescharacteristic
836C22×Dic53C2411yescharacteristic
837C22×Dic53C2412yes—
838C22×Dic53C2414yes—
839#11719949—24no—
840#11719949—28no—
841#11719949—44no—
842#11719949—44no—
843Q8×D53—44no—
844Q8×D53—48no—
845Q8×D53—42no—
846Q8×D53—44no—
847Q8×D53—42no—
848#11719947—24no—
849#11719947—44no—
850#11719945—48no—
851#11719945—44no—
852#11719945—44no—
853#11719945—44no—
854C2×D212C2414yes—
855C2×D212C2412yes—
856C2×D212C2412yes—
857C2×D212C2411yescharacteristic
858C2×D212C2412yes—
859C2×D212C2412yes—
860C2×D212C2414yes—
861C2×D212C2414yes—
862C2×D212C2414yes—
863C2×D212C2412yes—
864C2×C4×D53—24no—
865C2×C4×D53—42no—
866C2×C4×D53—42no—
867C2×C4×D53C2412yes—
868C2×C4×D53C2414yes—
869C2×C4×D53C2411yescharacteristic
870C2×C4×D53C2411yescharacteristic
871C2×C4×D53C2411yescharacteristic
872C2×C4×D53C2411yescharacteristic
873C2×C4×D53C2411yescharacteristic
874C2×C4×D53C2411yescharacteristic
875C2×C4×D53C2411yescharacteristic
876C2×C4×D53C2414yes—
877C2×C4×D53C2412yes—
878C2×C4×D53C2411yescharacteristic
879C2×C4×D53C2411yescharacteristic
880C2×C4×D53C2411yescharacteristic
881C2×C4×D53C2411yescharacteristic
882C2×C4×D53C2412yes—
883C2×C4×D53C2412yes—
884C2×C4×D53C2412yes—
885C2×C4×D53C2412yes—
886C2×C4×D53C2414yes—
887C2×C4×D53C2414yes—
888C2×C4×D53C2414yes—
889C2×C4×D53C2412yes—
890C2×C4×D53C2414yes—
891C2×C4×D53C2414yes—
892C2×C4×D53C2414yes—
893C2×C4×D53C2414yes—
894C2×C4×D53C2411yescharacteristic
895C2×Dic106—44no—
896C2×Dic106C2411yescharacteristic
897C2×Dic106C2412yes—
898C2×Dic106C2411yescharacteristic
899C2×Dic106C2412yes—
900C2×Dic106C2411yescharacteristic
901C2×Dic106C2412yes—
902C2×Dic106C2412yes—
903C2×Dic106C2414yes—
904C2×Dic106C2412yes—
905C2×Dic106C2412yes—
906C2×Dic106C2414yes—
907C2×Dic106C2412yes—
908C2×Dic106C2414yes—
909C2×Dic106C2412yes—
910C4⋊C4×C53C2411yescharacteristic
911C4⋊C4×C53C2412yes—
912C4⋊C4×C53C2414yes—
913C4⋊C4×C53C2412yes—
914C4⋊C4×C53C2412yes—
915C4⋊C4×C53C2411yescharacteristic
916C4⋊C4×C53C2412yes—
917C4⋊C4×C53C2412yes—
918C4⋊C4×C53C2414yes—
919C4⋊C4×C53C2412yes—
920C4⋊C4×C53C2412yes—
921C4⋊C4×C53C2411yescharacteristic
922C4⋊C4×C53C2412yes—
923C4⋊C4×C53C2412yes—
924C4⋊C4×C53C2411yescharacteristic
925C4⋊C4×C53C2412yes—
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2414yes—
928C4⋊C4×C53C2414yes—
929C4⋊C4×C53C2414yes—
930C4⋊C4×C53C2414yes—
931C4⋊C4×C53C2414yes—
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2412yes—
934C4⋊C4×C53C2412yes—
935C4⋊C4×C53C2414yes—
936C4⋊C4×C53C2414yes—
937C4⋊C4×C53C2412yes—
938C4⋊C4×C53C2414yes—
939C22⋊C4×C53C2412yes—
940C22⋊C4×C53C2412yes—
941C22⋊C4×C53C2412yes—
942C22⋊C4×C53C2414yes—
943C22⋊C4×C53C2412yes—
944C22⋊C4×C53C2412yes—
945C22⋊C4×C53C2414yes—
946C22⋊C4×C53C2414yes—
947C22⋊C4×C53C2412yes—
948C22⋊C4×C53C2414yes—
949C22⋊C4×C53C2412yes—
950C42×C53C2411yescharacteristic
951C42×C53C2411yescharacteristic
952C42×C53C2411yescharacteristic
953C42×C53C2411yescharacteristic
954C42×C53C2414yes—
955C42×C53C2412yes—
956C42×C53C2412yes—
957C42×C53C2412yes—
958C42×C53C2414yes—
959C42×C53C2414yes—
960C42×C53C2414yes—
961C22⋊Dic53C2412yes—
962C22⋊Dic53C2412yes—
963C22⋊Dic53C2412yes—
964C22⋊Dic53C2414yes—
965C22⋊Dic53C2412yes—
966C22⋊Dic53C2412yes—
967#11719921C2412yes—
968#11719921C2412yes—
969#11719921C2412yes—
970#11719921C2412yes—
971#11719921C2414yes—
972#11719921C2412yes—
973#11719921C2412yes—
974#11719921C2412yes—
975#11719921C2414yes—
976#11719921C2412yes—
977#11719921C2414yes—
978#11719921C2412yes—
979#11719921C2414yes—
980#11719921C2414yes—
981#11719921C2414yes—
982#11719921C2414yes—
983#11719921C2412yes—
984#11719921C2412yes—
985#11719921C2412yes—
986#11719921C2414yes—
987#11719921C2412yes—
988#11719921C2414yes—
989#11719921C2414yes—
990#11719921C2414yes—
991#11719921C2414yes—
992#11719921C2412yes—
993#11719921C2414yes—
994#11719921C2414yes—
995#11719921C2414yes—
996#11719921C2414yes—
997#11719921C2414yes—
998#11719921C2414yes—
999#11719921C2414yes—
1000#11719921C2414yes—
1001C4⋊Dic53C2411yescharacteristic
1002C4⋊Dic53C2412yes—
1003C4⋊Dic53C2411yescharacteristic
1004C4⋊Dic53C2412yes—
1005C4⋊Dic53C2412yes—
1006C4⋊Dic53C2412yes—
1007C4⋊Dic53C2414yes—
1008C4⋊Dic53C2412yes—
1009C4⋊Dic53C2414yes—
1010C4⋊Dic53C2412yes—
1011C4⋊Dic53C2414yes—
1012C4⋊Dic53C2412yes—
1013C4⋊Dic53C2412yes—
1014C4⋊Dic53C2411yescharacteristic
1015C4⋊Dic53C2412yes—
1016C4⋊Dic53C2411yescharacteristic
1017C4⋊Dic53C2412yes—
1018C4⋊Dic53C2414yes—
1019C4⋊Dic53C2412yes—
1020C4⋊Dic53C2414yes—
1021C4⋊Dic53C2414yes—
1022C4⋊Dic53C2414yes—
1023C4⋊Dic53C2414yes—
1024#11719919C2412yes—
1025#11719919C2412yes—
1026#11719919C2412yes—
1027#11719919C2412yes—
1028#11719919C2412yes—
1029#11719919C2414yes—
1030#11719919C2412yes—
1031#11719919C2412yes—
1032#11719919C2412yes—
1033#11719919C2412yes—
1034#11719919C2412yes—
1035#11719919C2412yes—
1036#11719919C2412yes—
1037#11719919C2414yes—
1038#11719919C2412yes—
1039#11719919C2412yes—
1040#11719919C2414yes—
1041#11719919C2414yes—
1042#11719919C2412yes—
1043#11719919C2412yes—
1044#11719919C2412yes—
1045#11719919C2414yes—
1046#11719919C2412yes—
1047#11719919C2414yes—
1048#11719919C2414yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2414yes—
1052#11719919C2412yes—
1053#11719919C2414yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056#11719919C2412yes—
1057#11719919C2414yes—
1058#11719919C2414yes—
1059#11719919C2412yes—
1060#11719919C2414yes—
1061#11719919C2412yes—
1062C4×Dic53C2411yescharacteristic
1063C4×Dic53C2411yescharacteristic
1064C4×Dic53C2412yes—
1065C4×Dic53C2412yes—
1066C4×Dic53C2412yes—
1067C4×Dic53C2412yes—
1068C4×Dic53C2411yescharacteristic
1069C4×Dic53C2411yescharacteristic
1070C4×Dic53C2412yes—
1071C4×Dic53C2414yes—
1072C4×Dic53C2411yescharacteristic
1073C4×Dic53C2411yescharacteristic
1074C4×Dic53C2411yescharacteristic
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2411yescharacteristic
1077C4×Dic53C2411yescharacteristic
1078C4×Dic53C2411yescharacteristic
1079C4×Dic53C2411yescharacteristic
1080C4×Dic53C2412yes—
1081C4×Dic53C2412yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2414yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2412yes—
1089C4×Dic53C2414yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2414yes—
1092C23×C53C2512yes—
1093C23×C53C2511yescharacteristic
1094C22×D53—22no—
1095C22×D53—41no—
1096C22×D53—41no—
1097C22×D53C2514yes—
1098C22×D53C2512yes—
1099C22×D53C2511yescharacteristic
1100C22×D53C2511yescharacteristic
1101Q8×C53—22no—
1102Q8×C53—24no—
1103Q8×C53—22no—
1104Q8×C53—22no—
1105Q8×C53—44no—
1106Q8×C53—42no—
1107Q8×C53—42no—
1108D4×C53—22no—
1109D4×C53—42no—
1110C2×C4×C53—22no—
1111C2×C4×C53—24no—
1112C2×C4×C53—22no—
1113C2×C4×C53—41no—
1114C2×C4×C53—44no—
1115C2×C4×C53C2512yes—
1116C2×C4×C53C2512yes—
1117C2×C4×C53C2511yescharacteristic
1118C2×C4×C53C2512yes—
1119C2×C4×C53C2512yes—
1120C2×C4×C53C2512yes—
1121C2×C4×C53C2514yes—
1122C2×C4×C53C2512yes—
1123C2×C4×C53C2511yescharacteristic
1124C2×C4×C53C2511yescharacteristic
1125C2×C4×C53C2511yescharacteristic
1126C2×C4×C53C2512yes—
1127C2×C4×C53C2514yes—
1128C2×C4×C53C2511yescharacteristic
1129C2×C4×C53C2511yescharacteristic
1130C22⋊D53—24no—
1131C22⋊D53—24no—
1132C22⋊D53—44no—
1133C22⋊D53—44no—
1134C22⋊D53—44no—
1135C22⋊D53—42no—
1136C22⋊D53—42no—
1137C22⋊D53—42no—
1138C2×Dic53—22no—
1139C2×Dic53—24no—
1140C2×Dic53—22no—
1141C2×Dic53—44no—
1142C2×Dic53—41no—
1143C2×Dic53—42no—
1144C2×Dic53C2512yes—
1145C2×Dic53C2511yescharacteristic
1146C2×Dic53C2512yes—
1147C2×Dic53C2512yes—
1148C2×Dic53C2512yes—
1149C2×Dic53C2514yes—
1150C2×Dic53C2512yes—
1151C2×Dic53C2512yes—
1152C2×Dic53C2511yescharacteristic
1153C2×Dic53C2512yes—
1154C2×Dic53C2511yescharacteristic
1155C2×Dic53C2511yescharacteristic
1156C2×Dic53C2511yescharacteristic
1157C2×Dic53C2511yescharacteristic
1158D212—28no—
1159D212—24no—
1160D212—24no—
1161D212—22no—
1162D212—24no—
1163D212—44no—
1164D212—42no—
1165D212—44no—
1166D212—44no—
1167D212—42no—
1168C4×D53—22no—
1169C4×D53—22no—
1170C4×D53—22no—
1171C4×D53—22no—
1172C4×D53—24no—
1173C4×D53—22no—
1174C4×D53—24no—
1175C4×D53—28no—
1176C4×D53—22no—
1177C4×D53—22no—
1178C4×D53—28no—
1179C4×D53—41no—
1180C4×D53—41no—
1181C4×D53—41no—
1182C4×D53—41no—
1183C4×D53—44no—
1184C4×D53—44no—
1185C4×D53—44no—
1186C4×D53—42no—
1187C4×D53—44no—
1188C4×D53—42no—
1189C4×D53—42no—
1190C4×D53—44no—
1191C4×D53—44no—
1192C4×D53—42no—
1193C4×D53—42no—
1194C4×D53—44no—
1195C4×D532−1+414yes—
1196Dic106—22no—
1197Dic106—22no—
1198Dic106—24no—
1199Dic106—22no—
1200Dic106—24no—
1201Dic106—24no—
1202Dic106—24no—
1203Dic106—44no—
1204Dic106—42no—
1205Dic106—44no—
1206Dic106—42no—
1207Dic106—42no—
1208Dic106—44no—
1209Dic106—42no—
1210#62761—531nomaximal, Sylow
1211C22×C53—22no—
1212C22×C53—21no—
1213C22×C53—21no—
1214C22×C53—22no—
1215C22×C53—22no—
1216C22×C53—21no—
1217C22×C53C2611yescharacteristic
1218C2×D53—21no—
1219C2×D53—21no—
1220C2×D53—21no—
1221C2×D53—24no—
1222C2×D53—22no—
1223C2×D53—24no—
1224C2×D53—22no—
1225C2×D53—21no—
1226C2×D53—21no—
1227C2×D53—24no—
1228C2×D53—22no—
1229C2×D53—44no—
1230C2×D53C2×2−1+412yes—
1231C4×C53—21no—
1232C4×C53—22no—
1233C4×C53—24no—
1234C4×C53—22no—
1235C4×C53—22no—
1236C4×C53—22no—
1237C4×C53—22no—
1238C4×C53—22no—
1239C4×C53—21no—
1240C4×C53—24no—
1241C4×C53—22no—
1242C4×C53—21no—
1243C4×C53—21no—
1244C4×C53C2×2−1+412yes—
1245C4×C53#58512yes—
1246Dic53—22no—
1247Dic53—21no—
1248Dic53—22no—
1249Dic53—22no—
1250Dic53—22no—
1251Dic53—24no—
1252Dic53—22no—
1253Dic53—22no—
1254Dic53—21no—
1255Dic53—22no—
1256Dic53—21no—
1257Dic53—21no—
1258Dic53C2×2−1+412yes—
1259Dic53#58512yes—
1260#3557—532no—
1261#3557—532no—
1262#3556—531no—
1263#3555—532no—
1264#3555—531no—
1265#3555D5311yescharacteristic, complemented
1266#3554—532no—
1267#3554—531no—
1268#3554—531no—
1269#3553—534no—
1270#3552—532no—
1271#3552—532no—
1272#3550—531no—
1273#3550—531no—
1274#3548—531no—
1275#3541—534no—
1276#3541—532no—
1277#3541—532no—
1278#3531—534no—
1279#3482—532no—
1280#3482—532no—
1281#3480—531no—
1282#3480—532no—
1283#3480—531no—
1284Q8×#41—531no—
1285Q8×#41—532no—
1286Q8×#41—531no—
1287#3461—532no—
1288#3461—534no—
1289#3461—532no—
1290#3455—532no—
1291#3455—532no—
1292#3444—531no—
1293#3444—531no—
1294C2×#533—531no—
1295C2×C53—41no—
1296C2×C53—42no—
1297C2×C53C22×2−1+411yescharacteristic
1298C2×C53C2×#58511yescharacteristic
1299C2×C53C2×#58511yescharacteristic
1300D53—22no—
1301D53—44no—
1302D53—42no—
1303D53—41no—
1304#564—534no—
1305#563—534no—
1306#563—534no—
1307#563—534no—
1308#563—534no—
1309#563—534no—
1310#563—534no—
1311#563—534no—
1312#563—534no—
1313#563—534no—
1314#563C2×D5314yes—
1315#562—534no—
1316#562—534no—
1317#562—534no—
1318#562—534no—
1319#562—534no—
1320#559—532no—
1321#559—532no—
1322#559—532no—
1323#559—531no—
1324#559—531no—
1325#559—532no—
1326#559—532no—
1327Q82—531no—
1328Q82—532no—
1329Q82C2×D5311yescharacteristic, complemented
1330#557—532no—
1331#557—531no—
1332#557—532no—
1333#557—532no—
1334#557—532no—
1335#557—532no—
1336#557—531no—
1337#557—532no—
1338#557—531no—
1339#557—532no—
1340#557C2×D5312yescomplemented
1341#557C2×D5311yescharacteristic, complemented
1342#556—531no—
1343#556—532no—
1344#556—534no—
1345#556—532no—
1346#556—532no—
1347#556—532no—
1348#556—532no—
1349#556—532no—
1350#556—532no—
1351#556C2×D5312yes—
1352#556C2×D5311yescharacteristic, complemented
1353#556C2×D5312yescomplemented
1354#554—532no—
1355#554—534no—
1356#554—531no—
1357#554—532no—
1358#554—534no—
1359#554—534no—
1360#554—532no—
1361#554—532no—
1362#554—534no—
1363#554—534no—
1364#554—532no—
1365#554—532no—
1366#554—532no—
1367#554C2×D5311yescharacteristic, complemented
1368#553—534no—
1369#553—534no—
1370#553—534no—
1371#553—532no—
1372#553—534no—
1373#553—532no—
1374#553—534no—
1375#552—534no—
1376#552—534no—
1377#552—534no—
1378#552—534no—
1379#552—534no—
1380#552—532no—
1381#552C2×D5312yes—
1382#550—531no—
1383#550—532no—
1384#550—531no—
1385D4×Q8—534no—
1386D4×Q8—532no—
1387D4×Q8—532no—
1388D4×Q8—532no—
1389D4×Q8—532no—
1390D4×Q8—532no—
1391D4×Q8—531no—
1392D4×Q8—531no—
1393#548—534no—
1394#548—532no—
1395#548—534no—
1396#548—532no—
1397#548—532no—
1398#548—532no—
1399#547—534no—
1400#547—532no—
1401#547—532no—
1402#547—532no—
1403#547—532no—
1404#544—534no—
1405#544—532no—
1406#544C2×D5312yescomplemented
1407#542—532no—
1408#542—532no—
1409#542—534no—
1410#542—532no—
1411#542—534no—
1412#542—534no—
1413#542—534no—
1414#542—532no—
1415#542—532no—
1416#542—532no—
1417#542—532no—
1418#542—532no—
1419#542—532no—
1420#542—534no—
1421#542—532no—
1422#542—534no—
1423#542—532no—
1424#542C2×D5312yes—
1425#541—532no—
1426#541—534no—
1427#541—532no—
1428#541—534no—
1429#541—532no—
1430#541—534no—
1431#541—534no—
1432#541—532no—
1433#541—532no—
1434#541—532no—
1435#541—534no—
1436#541C2×D5312yes—
1437#541C2×D5312yescomplemented
1438#541C2×D5314yescomplemented
1439#540—532no—
1440#540—532no—
1441#540—532no—
1442#540—532no—
1443#539—534no—
1444#539—534no—
1445#539—534no—
1446#539—534no—
1447#539—534no—
1448#539—534no—
1449#539—534no—
1450#539—534no—
1451#539—534no—
1452#539—534no—
1453#539—534no—
1454#539—534no—
1455#538—534no—
1456#538—534no—
1457#538—534no—
1458#538—534no—
1459#537—534no—
1460#537—532no—
1461#537—532no—
1462#536—534no—
1463#536—532no—
1464#536—532no—
1465#536—534no—
1466#536—532no—
1467#536—532no—
1468#533—531no—
1469#533—531no—
1470#533—531no—
1471#533—531no—
1472#533—532no—
1473#533—532no—
1474#533—534no—
1475#533—534no—
1476#533—532no—
1477#533—531no—
1478#533—532no—
1479#533—534no—
1480#533—534no—
1481#533—531no—
1482#533—531no—
1483#533—532no—
1484#533—531no—
1485#533—532no—
1486#533—534no—
1487#533—531no—
1488#533—531no—
1489#533—532no—
1490#533—531no—
1491#533—532no—
1492#533—531no—
1493#533C2×D5311yescharacteristic
1494#533C2×D5311yescharacteristic
1495#532—531no—
1496#532—531no—
1497#532—532no—
1498#532—531no—
1499#532—532no—
1500#532—531no—
1501#532—531no—
1502#532—531no—
1503C2×C4⋊Q8—531no—
1504C2×C4⋊Q8—531no—
1505#529—532no—
1506#529—532no—
1507#529—534no—
1508#529—534no—
1509#529—534no—
1510#529—534no—
1511#529—534no—
1512#529—534no—
1513#529—532no—
1514#529—532no—
1515#529—531no—
1516#529—534no—
1517#529—534no—
1518#529—532no—
1519#529—534no—
1520#529—531no—
1521#529—534no—
1522#529—532no—
1523#529—534no—
1524#529—532no—
1525#529—532no—
1526#529—534no—
1527#529—532no—
1528#529—534no—
1529#529—532no—
1530#529—532no—
1531#529—532no—
1532#529—531no—
1533#529C2×D5311yescharacteristic
1534C2×#125—532no—
1535#525—532no—
1536#525—532no—
1537#525—531no—
1538#525—532no—
1539#525—531no—
1540#525—532no—
1541#525—532no—
1542C2×C22⋊Q8—531no—
1543C2×C22⋊Q8—531no—
1544C2×C22⋊Q8—532no—
1545C4×#41—532no—
1546C4×#41—532no—
1547C4×#41—531no—
1548C4×#41—532no—
1549C4×#41—532no—
1550C4×#41—532no—
1551C4×#41—532no—
1552C4×#41—531no—
1553C4×#41—532no—
1554C4×#41—532no—
1555C4×#41—532no—
1556C4×#41—532no—
1557C4×#41—532no—
1558C4×#41—534no—
1559C2×C4×Q8—531no—
1560C2×C4×Q8—531no—
1561C2×C4×Q8—532no—
1562C2×C4×Q8—532no—
1563C2×C4×Q8—534no—
1564C2×C4×Q8—532no—
1565C2×#117—532no—
1566C22×C42—531no—
1567C53#6276111yescharacteristic, complemented, Sylow
1568C2×#41—532no—
1569C2×#41—531no—
1570C2×#41—532no—
1571C2×#41—532no—
1572C2×#41—531no—
1573C2×#41—532no—
1574C2×#41—532no—
1575C2×#41—532no—
1576C2×#41—534no—
1577C2×#41—532no—
1578C22×Q8—532no—
1579C22×Q8—531no—
1580C22×Q8—531no—
1581C22×Q8—534no—
1582C22×Q8—532no—
1583C22×Q8—532no—
1584C23×C4—531no—
1585C23×C4—531no—
1586C23×C4—531no—
1587C4⋊Q8—531no—
1588C4⋊Q8—531no—
1589C4⋊Q8—532no—
1590C4⋊Q8—531no—
1591C4⋊Q8—532no—
1592C4⋊Q8—532no—
1593C4⋊Q8—534no—
1594C4⋊Q8—532no—
1595C4⋊Q8—532no—
1596C4⋊Q8—531no—
1597C4⋊Q8—531no—
1598C4⋊Q8—532no—
1599C4⋊Q8—531no—
1600C4⋊Q8—531no—
1601C4⋊Q8—534no—
1602C4⋊Q8—534no—
1603C4⋊Q8—532no—
1604C4⋊Q8—532no—
1605C4⋊Q8—534no—
1606C4⋊Q8—532no—
1607C4⋊Q8—534no—
1608C4⋊Q8—534no—
1609C4⋊Q8—531no—
1610C4⋊Q8—531no—
1611C4⋊Q8—531no—
1612C4⋊Q8—532no—
1613C4⋊Q8—534no—
1614C4⋊Q8—532no—
1615C4⋊Q8—534no—
1616C4⋊Q8C22×D5311yescharacteristic
1617C4⋊Q8C22×D5311yescharacteristic
1618C4⋊Q8C22×D5311yescharacteristic
1619C4⋊Q8C22×D5311yescharacteristic
1620C4⋊Q8C22×D5312yes—
1621C4⋊Q8C22×D5314yes—
1622C4⋊Q8C22×D5312yes—
1623C4⋊Q8C22×D5312yes—
1624C4⋊Q8C22×D5314yes—
1625#127—531no—
1626#127—532no—
1627#127—531no—
1628#127—532no—
1629#126—534no—
1630#126—534no—
1631#126—532no—
1632#126—534no—
1633#126—534no—
1634#126—534no—
1635#126—534no—
1636#126—534no—
1637#126—534no—
1638#126—534no—
1639#126—534no—
1640#126—534no—
1641#126—534no—
1642#126—534no—
1643#126—534no—
1644#126—534no—
1645#126—532no—
1646#126—534no—
1647#126—534no—
1648#126—534no—
1649#126—532no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126C22×D5312yes—
1657#126C22×D5314yes—
1658#126C22×D5314yes—
1659#126C22×D5314yes—
1660#126C22×D5314yes—
1661#126C22×D5314yes—
1662#126C22×D5314yes—
1663#125—532no—
1664#125—532no—
1665#125—532no—
1666#125—532no—
1667#125—532no—
1668#125—532no—
1669#125—532no—
1670#125—532no—
1671#125—532no—
1672#125—532no—
1673#125—534no—
1674#125—534no—
1675#125—534no—
1676#125—534no—
1677#125—534no—
1678#125—534no—
1679#125—534no—
1680#125—534no—
1681#125—534no—
1682#125—532no—
1683#125—534no—
1684#125—534no—
1685#125—534no—
1686#125—534no—
1687#125—534no—
1688#125—534no—
1689#125—534no—
1690#125—534no—
1691#125—532no—
1692#125—532no—
1693#125—532no—
1694#125—531no—
1695#125—534no—
1696#125—534no—
1697#125—534no—
1698#125—532no—
1699#125C22×D5312yes—
1700#125C22×D5312yes—
1701#125C22×D5311yescharacteristic
1702#125C22×D5314yes—
1703#125C22×D5314yes—
1704#125C22×D5314yes—
1705#125C22×D5312yes—
1706#125C22×D5314yes—
1707#125C22×D5314yes—
1708#125C22×D5312yes—
1709#124—532no—
1710#124—532no—
1711#124—534no—
1712#124—532no—
1713#124—534no—
1714#124—532no—
1715#124—532no—
1716#124—532no—
1717#124—532no—
1718#124—534no—
1719#124—534no—
1720#124—534no—
1721#124—534no—
1722#124—534no—
1723#124—534no—
1724#124—534no—
1725#124—532no—
1726#124—531no—
1727#124—534no—
1728#124—534no—
1729#124—532no—
1730#124—534no—
1731#124—532no—
1732#124C22×D5311yescharacteristic
1733#124C22×D5314yes—
1734#124C22×D5312yes—
1735#123—532no—
1736#123—534no—
1737#123—534no—
1738#123—532no—
1739#123—534no—
1740#123—532no—
1741#123—534no—
1742#123—534no—
1743#123—534no—
1744#123—534no—
1745#123—534no—
1746#123—534no—
1747#123—534no—
1748#123—534no—
1749#123—534no—
1750#123—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#123—534no—
1766#123—534no—
1767#123—534no—
1768#123—534no—
1769#123—534no—
1770#123C22×D5312yes—
1771#123C22×D5314yes—
1772C22⋊Q8—531no—
1773C22⋊Q8—531no—
1774C22⋊Q8—532no—
1775C22⋊Q8—531no—
1776C22⋊Q8—532no—
1777C22⋊Q8—532no—
1778C22⋊Q8—534no—
1779C22⋊Q8—534no—
1780C22⋊Q8—534no—
1781C22⋊Q8—534no—
1782C22⋊Q8—534no—
1783C22⋊Q8—534no—
1784C22⋊Q8—534no—
1785C22⋊Q8—531no—
1786C22⋊Q8—531no—
1787C22⋊Q8—532no—
1788C22⋊Q8—531no—
1789C22⋊Q8—532no—
1790C22⋊Q8—534no—
1791C22⋊Q8—532no—
1792C22⋊Q8—531no—
1793C22⋊Q8—532no—
1794C22⋊Q8—531no—
1795C22⋊Q8—532no—
1796C22⋊Q8—532no—
1797C22⋊Q8—532no—
1798C22⋊Q8—532no—
1799C22⋊Q8—532no—
1800C22⋊Q8—531no—
1801C22⋊Q8—532no—
1802C22⋊Q8—532no—
1803C22⋊Q8—532no—
1804C22⋊Q8—534no—
1805C22⋊Q8—534no—
1806C22⋊Q8—534no—
1807C22⋊Q8—534no—
1808C22⋊Q8—532no—
1809C22⋊Q8—534no—
1810C22⋊Q8—534no—
1811C22⋊Q8—534no—
1812C22⋊Q8—534no—
1813C22⋊Q8—534no—
1814C22⋊Q8—534no—
1815C22⋊Q8—532no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—534no—
1819C22⋊Q8—532no—
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—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—532no—
1832C22⋊Q8—532no—
1833C22⋊Q8—532no—
1834C22⋊Q8—532no—
1835C22⋊Q8—532no—
1836C22⋊Q8—534no—
1837C22⋊Q8—534no—
1838C22⋊Q8—534no—
1839C22⋊Q8—534no—
1840C22⋊Q8C22×D5311yescharacteristic
1841C22⋊Q8C22×D5311yescharacteristic
1842C22⋊Q8C22×D5312yes—
1843C22⋊Q8C22×D5312yes—
1844C22⋊Q8C22×D5312yes—
1845C22⋊Q8C22×D5311yescharacteristic
1846C22⋊Q8C22×D5314yes—
1847C22⋊Q8C22×D5312yes—
1848C22⋊Q8C22×D5314yes—
1849C22⋊Q8C22×D5312yes—
1850C22⋊Q8C22×D5314yes—
1851#121—531no—
1852#121—532no—
1853#121—534no—
1854#121—534no—
1855#121—532no—
1856#121—531no—
1857#121—532no—
1858#121—534no—
1859#121—534no—
1860#121—532no—
1861#121—532no—
1862#121—532no—
1863#121—531no—
1864#121—532no—
1865#121—532no—
1866#121—534no—
1867#121—534no—
1868#121—534no—
1869#121—532no—
1870#121—534no—
1871#121—534no—
1872#121—532no—
1873#121—532no—
1874#121—532no—
1875#121—534no—
1876#121—534no—
1877#121—534no—
1878#121—534no—
1879#121—534no—
1880#121—534no—
1881#121—534no—
1882#121—534no—
1883#121C22×D5311yescharacteristic
1884#120—532no—
1885#120—532no—
1886#120—534no—
1887C4×Q8—531no—
1888C4×Q8—531no—
1889C4×Q8—532no—
1890C4×Q8—534no—
1891C4×Q8—532no—
1892C4×Q8—531no—
1893C4×Q8—532no—
1894C4×Q8—532no—
1895C4×Q8—532no—
1896C4×Q8—532no—
1897C4×Q8—532no—
1898C4×Q8—531no—
1899C4×Q8—532no—
1900C4×Q8—532no—
1901C4×Q8—531no—
1902C4×Q8—532no—
1903C4×Q8—532no—
1904C4×Q8—532no—
1905C4×Q8—534no—
1906C4×Q8—534no—
1907C4×Q8—534no—
1908C4×Q8—532no—
1909C4×Q8—532no—
1910C4×Q8—532no—
1911C4×Q8—534no—
1912C4×Q8—532no—
1913C4×Q8—532no—
1914C4×Q8—532no—
1915C4×Q8—531no—
1916C4×Q8—534no—
1917C4×Q8—532no—
1918C4×Q8—532no—
1919C4×Q8—532no—
1920C4×Q8—531no—
1921C4×Q8—532no—
1922C4×Q8—531no—
1923C4×Q8—532no—
1924C4×Q8—532no—
1925C4×Q8—532no—
1926C4×Q8—534no—
1927C4×Q8—532no—
1928C4×Q8—534no—
1929C4×Q8—534no—
1930C4×Q8—534no—
1931C4×Q8—532no—
1932C4×Q8—531no—
1933C4×Q8—532no—
1934C4×Q8C22×D5311yescharacteristic
1935C4×Q8C22×D5311yescharacteristic
1936C4×Q8C22×D5312yes—
1937C4×Q8C22×D5312yes—
1938C4×Q8C22×D5314yes—
1939C4×Q8C22×D5312yes—
1940C4×Q8C22×D5312yes—
1941C4×Q8C22×D5311yescharacteristic
1942C4×Q8C22×D5312yes—
1943C4×Q8C22×D5312yes—
1944C4×Q8C22×D5312yes—
1945C4×Q8C22×D5312yes—
1946C4×D4—532no—
1947C4×D4—531no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—534no—
1953C4×D4—532no—
1954C4×D4—534no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—534no—
1958C4×D4—532no—
1959C4×D4—534no—
1960C4×D4—532no—
1961C4×D4—534no—
1962C4×D4—532no—
1963C4×D4—532no—
1964C4×D4—531no—
1965C4×D4—534no—
1966C4×D4—534no—
1967C4×D4—534no—
1968C4×D4—534no—
1969C4×D4—532no—
1970C4×D4—532no—
1971C4×D4—532no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—532no—
1975C4×D4—532no—
1976C4×D4—534no—
1977C4×D4—532no—
1978C4×D4—534no—
1979C4×D4—532no—
1980C4×D4—534no—
1981C4×D4—534no—
1982C4×D4—532no—
1983C4×D4—532no—
1984C4×D4—534no—
1985C4×D4—534no—
1986C4×D4—534no—
1987C4×D4—534no—
1988C4×D4—534no—
1989C4×D4—532no—
1990C4×D4—534no—
1991C4×D4—532no—
1992C4×D4—531no—
1993C4×D4—532no—
1994C4×D4—534no—
1995C4×D4—534no—
1996C4×D4—534no—
1997C4×D4—534no—
1998C4×D4—532no—
1999C4×D4—532no—
2000C4×D4—532no—
2001C4×D4—532no—
2002C4×D4C22×D5312yes—
2003C4×D4C22×D5311yescharacteristic
2004C4×D4C22×D5312yes—
2005#117—532no—
2006#117—532no—
2007#117—532no—
2008#117—531no—
2009#117—532no—
2010#117—531no—
2011#117—532no—
2012#117—532no—
2013#117—534no—
2014#117—534no—
2015#117—534no—
2016#117—534no—
2017#117—534no—
2018#117—532no—
2019#117—532no—
2020#117—534no—
2021#117—532no—
2022#117—532no—
2023#117—532no—
2024#117—534no—
2025#117—532no—
2026#117—532no—
2027#117—532no—
2028#117—532no—
2029#117—532no—
2030#117—532no—
2031#117—534no—
2032#117—534no—
2033#117—534no—
2034#117—534no—
2035#117C22×D5312yes—
2036#117C22×D5312yes—
2037#117C22×D5312yes—
2038#117C22×D5312yes—
2039#117C22×D5314yes—
2040C2×C4⋊C4—534no—
2041C2×C4⋊C4—532no—
2042C2×C4⋊C4—532no—
2043C2×C4⋊C4—532no—
2044C2×C4⋊C4—532no—
2045C2×C4⋊C4—532no—
2046C2×C4⋊C4—532no—
2047C2×C4⋊C4—532no—
2048C2×C4⋊C4—531no—
2049C2×C4⋊C4—531no—
2050C2×C4⋊C4—534no—
2051C2×C4⋊C4—532no—
2052C2×C4⋊C4—534no—
2053C2×C4⋊C4—534no—
2054C2×C4⋊C4—534no—
2055C2×C4⋊C4C22×D5312yes—
2056C2×C22⋊C4—532no—
2057C2×C22⋊C4—532no—
2058C2×C42—532no—
2059C2×C42—534no—
2060C2×C42—531no—
2061C2×C42—531no—
2062C2×C42—531no—
2063C2×C42—532no—
2064C2×C42—532no—
2065C2×C42—531no—
2066C2×C42—531no—
2067C2×C42—532no—
2068C2×C42—534no—
2069C2×C42—534no—
2070C2×C42—534no—
2071C2×C42—534no—
2072C2×C42—531no—
2073C2×C42—531no—
2074C2×C42—531no—
2075C2×C42—531no—
2076C2×C42—531no—
2077C2×C42—531no—
2078C2×C42C22×D5311yescharacteristic
2079C24—531no—
2080#41—1064no—
2081#41—1068no—
2082#41—1064no—
2083#41—2124no—
2084#41—2124no—
2085#41—2124no—
2086#41—2128no—
2087#41—2124no—
2088#41—2124no—
2089#41—2124no—
2090C2×Q8—531no—
2091C2×Q8—532no—
2092C2×Q8—531no—
2093C2×Q8—532no—
2094C2×Q8—532no—
2095C2×Q8—532no—
2096C2×Q8—531no—
2097C2×Q8—532no—
2098C2×Q8—534no—
2099C2×Q8—534no—
2100C2×Q8—532no—
2101C2×Q8—532no—
2102C2×Q8—534no—
2103C2×Q8—532no—
2104C2×Q8—2124no—
2105C2×Q8—2122no—
2106C2×Q8—2122no—
2107C2×Q8—2124no—
2108C2×Q8—2124no—
2109C2×Q8—2128no—
2110C2×Q8C23×D5311yescharacteristic
2111C2×Q8C23×D5312yes—
2112C2×Q8C23×D5311yescharacteristic
2113C2×Q8C23×D5311yescharacteristic
2114C2×Q8C23×D5314yes—
2115C2×Q8C23×D5312yes—
2116C2×Q8C23×D5312yes—
2117C2×D4—532no—
2118C2×D4—532no—
2119C2×D4—532no—
2120C2×D4—534no—
2121C2×D4—532no—
2122C2×D4—534no—
2123C2×D4—534no—
2124C2×D4—532no—
2125C2×D4—534no—
2126C2×D4—532no—
2127C2×D4—532no—
2128C2×D4—531no—
2129C2×D4—532no—
2130C2×D4—534no—
2131C2×D4—532no—
2132C2×D4—534no—
2133C2×D4—532no—
2134C2×D4—534no—
2135C2×D4C23×D5311yescharacteristic
2136C2×D4C23×D5312yes—
2137C22×C4—531no—
2138C22×C4—532no—
2139C22×C4—531no—
2140C22×C4—531no—
2141C22×C4—531no—
2142C22×C4—532no—
2143C22×C4—534no—
2144C22×C4—534no—
2145C22×C4—532no—
2146C22×C4—531no—
2147C22×C4—531no—
2148C22×C4—531no—
2149C22×C4—531no—
2150C22×C4—531no—
2151C22×C4—531no—
2152C22×C4—531no—
2153C22×C4—534no—
2154C22×C4—532no—
2155C22×C4—531no—
2156C22×C4—531no—
2157C22×C4—531no—
2158C22×C4—531no—
2159C22×C4—532no—
2160C22×C4—532no—
2161C22×C4—532no—
2162C22×C4—532no—
2163C22×C4—532no—
2164C22×C4—534no—
2165C22×C4—534no—
2166C22×C4—534no—
2167C22×C4—534no—
2168C22×C4—534no—
2169C22×C4—534no—
2170C22×C4—534no—
2171C22×C4—1064no—
2172C22×C4—2122no—
2173C22×C4—2122no—
2174C22×C4C23×D5311yescharacteristic
2175C22×C4C23×D5311yescharacteristic
2176C22×C4C23×D5312yes—
2177C22×C4C23×D5311yescharacteristic
2178C22×C4C23×D5314yes—
2179C4⋊C4—532no—
2180C4⋊C4—531no—
2181C4⋊C4—532no—
2182C4⋊C4—532no—
2183C4⋊C4—532no—
2184C4⋊C4—532no—
2185C4⋊C4—534no—
2186C4⋊C4—532no—
2187C4⋊C4—532no—
2188C4⋊C4—532no—
2189C4⋊C4—532no—
2190C4⋊C4—532no—
2191C4⋊C4—531no—
2192C4⋊C4—532no—
2193C4⋊C4—532no—
2194C4⋊C4—532no—
2195C4⋊C4—532no—
2196C4⋊C4—532no—
2197C4⋊C4—532no—
2198C4⋊C4—532no—
2199C4⋊C4—532no—
2200C4⋊C4—532no—
2201C4⋊C4—534no—
2202C4⋊C4—534no—
2203C4⋊C4—534no—
2204C4⋊C4—534no—
2205C4⋊C4—534no—
2206C4⋊C4—534no—
2207C4⋊C4—532no—
2208C4⋊C4—532no—
2209C4⋊C4—534no—
2210C4⋊C4—534no—
2211C4⋊C4—532no—
2212C4⋊C4—532no—
2213C4⋊C4—532no—
2214C4⋊C4—532no—
2215C4⋊C4—534no—
2216C4⋊C4—532no—
2217C4⋊C4—531no—
2218C4⋊C4—532no—
2219C4⋊C4—531no—
2220C4⋊C4—532no—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—534no—
2224C4⋊C4—534no—
2225C4⋊C4—532no—
2226C4⋊C4—534no—
2227C4⋊C4—532no—
2228C4⋊C4—532no—
2229C4⋊C4—534no—
2230C4⋊C4—532no—
2231C4⋊C4—534no—
2232C4⋊C4—532no—
2233C4⋊C4—532no—
2234C4⋊C4—534no—
2235C4⋊C4—532no—
2236C4⋊C4—534no—
2237C4⋊C4—534no—
2238C4⋊C4—534no—
2239C4⋊C4—534no—
2240C4⋊C4C23×D5312yes—
2241C4⋊C4C23×D5312yes—
2242C4⋊C4C23×D5311yescharacteristic
2243C4⋊C4C23×D5312yes—
2244C4⋊C4C23×D5312yes—
2245C4⋊C4C23×D5312yes—
2246C4⋊C4C23×D5312yes—
2247C4⋊C4C23×D5311yescharacteristic
2248C4⋊C4C23×D5312yes—
2249C4⋊C4C23×D5314yes—
2250C4⋊C4C23×D5314yes—
2251C4⋊C4C23×D5312yes—
2252C4⋊C4C23×D5312yes—
2253C4⋊C4C23×D5314yes—
2254C4⋊C4C23×D5312yes—
2255C4⋊C4C23×D5311yescharacteristic
2256C4⋊C4C23×D5312yes—
2257C4⋊C4C23×D5311yescharacteristic
2258C4⋊C4C23×D5314yes—
2259C4⋊C4C23×D5312yes—
2260C4⋊C4C23×D5314yes—
2261C4⋊C4C23×D5314yes—
2262C4⋊C4C23×D5314yes—
2263C4⋊C4C23×D5314yes—
2264C4⋊C4C23×D5312yes—
2265C4⋊C4C23×D5314yes—
2266C4⋊C4C23×D5314yes—
2267C4⋊C4C23×D5312yes—
2268C4⋊C4C23×D5312yes—
2269C22⋊C4—532no—
2270C22⋊C4—532no—
2271C22⋊C4—532no—
2272C22⋊C4—532no—
2273C22⋊C4—534no—
2274C22⋊C4—532no—
2275C22⋊C4—532no—
2276C22⋊C4—532no—
2277C22⋊C4—532no—
2278C22⋊C4—532no—
2279C22⋊C4—534no—
2280C22⋊C4—532no—
2281C22⋊C4—534no—
2282C22⋊C4—532no—
2283C22⋊C4—532no—
2284C22⋊C4—532no—
2285C22⋊C4—534no—
2286C22⋊C4—532no—
2287C22⋊C4—534no—
2288C22⋊C4—532no—
2289C22⋊C4—534no—
2290C22⋊C4—534no—
2291C22⋊C4—534no—
2292C22⋊C4—532no—
2293C22⋊C4—534no—
2294C22⋊C4—534no—
2295C22⋊C4—534no—
2296C22⋊C4—534no—
2297C22⋊C4—534no—
2298C22⋊C4—532no—
2299C22⋊C4—534no—
2300C22⋊C4—532no—
2301C22⋊C4—532no—
2302C22⋊C4—534no—
2303C22⋊C4—534no—
2304C22⋊C4—534no—
2305C22⋊C4—534no—
2306C22⋊C4—534no—
2307C22⋊C4—534no—
2308C22⋊C4—534no—
2309C22⋊C4C23×D5312yes—
2310C22⋊C4C23×D5312yes—
2311C22⋊C4C23×D5312yes—
2312C22⋊C4C23×D5312yes—
2313C22⋊C4C23×D5314yes—
2314C22⋊C4C23×D5312yes—
2315C22⋊C4C23×D5314yes—
2316C22⋊C4C23×D5314yes—
2317C22⋊C4C23×D5314yes—
2318C22⋊C4C23×D5312yes—
2319C22⋊C4C23×D5312yes—
2320C42—531no—
2321C42—531no—
2322C42—531no—
2323C42—532no—
2324C42—531no—
2325C42—532no—
2326C42—534no—
2327C42—532no—
2328C42—532no—
2329C42—531no—
2330C42—532no—
2331C42—532no—
2332C42—531no—
2333C42—531no—
2334C42—531no—
2335C42—531no—
2336C42—531no—
2337C42—531no—
2338C42—531no—
2339C42—532no—
2340C42—532no—
2341C42—534no—
2342C42—532no—
2343C42—532no—
2344C42—532no—
2345C42—534no—
2346C42—534no—
2347C42—534no—
2348C42—534no—
2349C42—534no—
2350C42C23×D5311yescharacteristic
2351C42C23×D5311yescharacteristic
2352C42C23×D5311yescharacteristic
2353C42C23×D5311yescharacteristic
2354C42C23×D5314yes—
2355C42C23×D5312yes—
2356C42C23×D5312yes—
2357C42C23×D5312yes—
2358C42C23×D5314yes—
2359C42C23×D5314yes—
2360C42C23×D5314yes—
2361C23—531no—
2362C23—531no—
2363C23—534no—
2364C23—532no—
2365C23—1062no—
2366C23—2121no—
2367C23—2121no—
2368C23C24×D5311yescharacteristic
2369C23C24×D5312yes—
2370Q8—22no—
2371Q8—24no—
2372Q8—22no—
2373Q8—22no—
2374Q8—42no—
2375Q8—44no—
2376Q8—42no—
2377Q8—1064no—
2378Q8—1064no—
2379Q8—1064no—
2380Q8—1062no—
2381Q8—1062no—
2382Q8—1064no—
2383Q8—1062no—
2384Q8—2124no—
2385Q8—2122no—
2386Q8—2124no—
2387Q8—2122no—
2388Q8—2124no—
2389Q8—2122no—
2390Q8—2122no—
2391D4—22no—
2392D4—42no—
2393D4—1068no—
2394D4—1064no—
2395D4—1064no—
2396D4—1064no—
2397D4—1064no—
2398D4—1062no—
2399D4—1064no—
2400D4—2124no—
2401D4—2122no—
2402D4—2124no—
2403D4—2122no—
2404D4—2124no—
2405D4—2124no—
2406D4—2122no—
2407D4—2122no—
2408D4—2122no—
2409D4—2124no—
2410D4—2124no—
2411C2×C4—22no—
2412C2×C4—22no—
2413C2×C4—24no—
2414C2×C4—41no—
2415C2×C4—44no—
2416C2×C4—531no—
2417C2×C4—531no—
2418C2×C4—534no—
2419C2×C4—531no—
2420C2×C4—532no—
2421C2×C4—531no—
2422C2×C4—532no—
2423C2×C4—531no—
2424C2×C4—532no—
2425C2×C4—532no—
2426C2×C4—532no—
2427C2×C4—534no—
2428C2×C4—532no—
2429C2×C4—531no—
2430C2×C4—532no—
2431C2×C4—1062no—
2432C2×C4—1062no—
2433C2×C4—1062no—
2434C2×C4—1068no—
2435C2×C4—1068no—
2436C2×C4—1064no—
2437C2×C4—1062no—
2438C2×C4—1062no—
2439C2×C4—1062no—
2440C2×C4—1064no—
2441C2×C4—1062no—
2442C2×C4—1062no—
2443C2×C4—1062no—
2444C2×C4—1064no—
2445C2×C4—2121no—
2446C2×C4—2121no—
2447C2×C4—2121no—
2448C2×C4—2121no—
2449C2×C4—2122no—
2450C2×C4—2124no—
2451C2×C4—2122no—
2452C2×C4—2124no—
2453C2×C4—2122no—
2454C2×C4—2122no—
2455C2×C4—2124no—
2456C2×C4—2124no—
2457C2×C4—2122no—
2458C2×C4—2124no—
2459C2×C4—2124no—
2460C2×C4—2124no—
2461C2×C4—2121no—
2462C2×C4—2124no—
2463C2×C4—2122no—
2464C2×C4C24×D5312yes—
2465C2×C4C24×D5314yes—
2466C2×C4C24×D5312yes—
2467C2×C4C24×D5311yescharacteristic
2468C2×C4C24×D5311yescharacteristic
2469C2×C4C24×D5311yescharacteristic
2470C2×C4C24×D5314yes—
2471C2×C4C24×D5312yes—
2472C2×C4C24×D5311yescharacteristic
2473C2×C4C24×D5312yes—
2474C2×C4C24×D5312yes—
2475C2×C4C24×D5312yes—
2476C2×C4C24×D5312yes—
2477C2×C4C24×D5311yescharacteristic
2478C2×C4C24×D5311yescharacteristic
2479C22—21no—
2480C22—22no—
2481C22—22no—
2482C22—21no—
2483C22—22no—
2484C22—21no—
2485C22—532no—
2486C22—1061no—
2487C22—1061no—
2488C22—1061no—
2489C22—1064no—
2490C22—1062no—
2491C22—1064no—
2492C22—1061no—
2493C22—1062no—
2494C22—1062no—
2495C22—1061no—
2496C22—1064no—
2497C22—2124no—
2498C22C25×D5311yescharacteristic
2499C4—21no—
2500C4—22no—
2501C4—24no—
2502C4—22no—
2503C4—21no—
2504C4—24no—
2505C4—21no—
2506C4—22no—
2507C4—22no—
2508C4—21no—
2509C4—22no—
2510C4—22no—
2511C4—22no—
2512C4—532no—
2513C4—532no—
2514C4—1061no—
2515C4—1062no—
2516C4—1061no—
2517C4—1062no—
2518C4—1062no—
2519C4—1062no—
2520C4—1061no—
2521C4—1062no—
2522C4—1061no—
2523C4—1062no—
2524C4—1064no—
2525C4—1062no—
2526C42−1+4×D5312yes—
2527C4#1681146012yes—
2528C2—41no—
2529C2—42no—
2530C2—1062no—
2531C2—2121no—
2532C2—2124no—
2533C2—2122no—
2534C2C2×2−1+4×D5311yescharacteristic
2535C2#585×D5311yescharacteristic
2536C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3555C2
hypercenter#3555D53
hypocenterC53#62761
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3555

Complements

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

NH ≅ G/Ntype
1. #20289222C2semidirect
2. #20289218C2semidirect
3. #20289207C2semidirect
4. #20289197C2semidirect
5. #20289193C2semidirect
6. #20289188C2semidirect
7. #20289186C2semidirect
8. #20289184C2semidirect
9. #20289169C2semidirect
10. #20289159C2semidirect
11. #20289155C2semidirect
12. #20289128C2semidirect
13. #20289121C2semidirect
14. #20289114C2semidirect
15. #20289015C2semidirect
16. #20289011C2semidirect
17. #20289005C2semidirect
18. #20288861C2semidirect
19. #20288334C2semidirect
20. #20288329C2semidirect
21. #20288315C2semidirect
22. #20288307C2semidirect
23. #20288307C2semidirect
24. Q8×#11719949C2semidirect
25. #20288297C2semidirect
26. #20288294C2semidirect
27. #20288149C2semidirect
28. #20288147C2semidirect
29. #20288147C2semidirect
30. #20288106C2semidirect
31. #20288102C2semidirect
32. #20288012C2semidirect
33. #20288009C2semidirect
34. #533×D53C2semidirect
35. C53×#3555C2semidirect
36. C53⋊#564C22semidirect
37. #16811377C22semidirect
40. #16811375C22semidirect
41. #16811375C22semidirect
43. #16811374C22semidirect
44. #16811372C22semidirect
45. #16811372C22semidirect
49. #16811369C22semidirect
51. #16811358C22semidirect
52. #16811358C22semidirect
53. #16811358C22semidirect
54. #16811358C22semidirect
55. #16811355C22semidirect
56. #16811355C22semidirect
57. #16811355C22semidirect
58. Q8×Dic106C22semidirect
59. #16811353C22semidirect
60. #16811352C22semidirect
61. #16811352C22semidirect
62. #16811351C22semidirect
63. #16811351C22semidirect
64. #16811350C22semidirect
65. #16811350C22semidirect
66. #16811349C22semidirect
67. #16811349C22semidirect
68. #16811348C22semidirect
69. #16811348C22semidirect
70. #16811347C22semidirect
71. #16811347C22semidirect
72. #16811345C22semidirect
73. #16811345C22semidirect
74. #16811345C22semidirect
75. #16811345C22semidirect
77. #16811341C22semidirect
81. #16811334C22semidirect
82. #16811334C22semidirect
84. #16811333C22semidirect
85. #16811332C22semidirect
88. #16811329C22semidirect
89. #16811329C22semidirect
99. #16811314C22semidirect
102. #16811309C22semidirect
103. #16811306C22semidirect
104. #16811305C22semidirect
105. #16811295C22semidirect
106. #16811294C22semidirect
107. #16811294C22semidirect
109. Q8×D212C22semidirect
110. D4×Dic106C22semidirect
112. #16811288C22semidirect
113. #16811288C22semidirect
115. #16811286C22semidirect
124. #16811275C22semidirect
125. #16811274C22semidirect
127. #16811253C22semidirect
128. #16811253C22semidirect
132. #16811247C22semidirect
141. #16811244C22semidirect
145. #16811239C22semidirect
147. #16811236C22semidirect
148. #16811236C22semidirect
152. #16811232C22semidirect
153. #16811232C22semidirect
156. #16811231C22semidirect
162. #16811222C22semidirect
167. #16811221C22semidirect
171. #16811214C22semidirect
172. #16811214C22semidirect
181. #16811199C22semidirect
183. #16811198C22semidirect
185. #16811196C22semidirect
190. #16811179C22semidirect
191. #16811179C22semidirect
197. #16811178C22semidirect
198. #16811178C22semidirect
199. #16811178C22semidirect
209. #16811175C22semidirect
210. #16811175C22semidirect
226. #16811159C22semidirect
227. #16811159C22semidirect
233. #16811158C22semidirect
234. #16811158C22semidirect
241. #16811156C22semidirect
242. #16811156C22semidirect
243. #16811156C22semidirect
266. C4×#11719949C22semidirect
269. #16811091C22semidirect
270. #16811091C22semidirect
274. C2×#13133182C22semidirect
278. C4×Q8×D53C22semidirect
279. C4×Q8×D53C22semidirect
283. Q82×C53C22semidirect
284. C53×#557C22semidirect
285. C53×#557C22semidirect
287. C53×#556C22semidirect
288. C53×#556C22semidirect
289. C53×#554C22semidirect
291. C53×#544C22semidirect
294. C53×#541C22semidirect
295. C53×#541C22semidirect
1265. #3555D53semidirect
1329. Q82C2×D53semidirect
1340. #557C2×D53semidirect
1341. #557C2×D53semidirect
1352. #556C2×D53semidirect
1353. #556C2×D53semidirect
1367. #554C2×D53semidirect
1406. #544C2×D53semidirect
1437. #541C2×D53semidirect
1438. #541C2×D53semidirect
1567. C53#62761semidirect

Maximal subgroups

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

subgroupindex
#202892222
#202892182
#202892072
#202891972
#202891932
#202891882
#202891862
#202891842
#202891692
#202891592
#202891552
#202891282
#202891212
#202891142
#202890152
#202890112
#202890052
#202888612
#202883342
#202883292
#202883152
#202883072
Q8×#117199492
#202882972
#202882942
#202881492
#202881472
#202881062
#202881022
#202880122
#202880092
#533×D532
C53×#35552
#6276153