Finite Group Databasebeta

← #28293059

Subgroups — #28293059

Order 13568.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289349C214yesmaximal, complemented
2#20289347C214yesmaximal, complemented
3#20289205C211yesmaximal, characteristic, complemented
4#20289200C212yesmaximal, complemented
5#20289197C211yesmaximal, characteristic, complemented
6#20289104C211yesmaximal, characteristic, complemented
7#20289093C212yesmaximal, complemented
8#20289010C212yesmaximal, complemented
9#20288997C214yesmaximal, complemented
10#20288996C212yesmaximal, complemented
11#20288731C212yesmaximal, complemented
12#20288731C211yesmaximal, characteristic, complemented
13#20288727C211yesmaximal, characteristic, complemented
14#20288707C212yesmaximal, complemented
15#20288702C214yesmaximal, complemented
16#20288701C212yesmaximal, complemented
17#20288696C211yesmaximal, characteristic, complemented
18#20288686C212yesmaximal, complemented
19#20288684C211yesmaximal, characteristic, complemented
20#20288634C212yesmaximal, complemented
21#20288625C211yesmaximal, characteristic, complemented
22#20288624C212yesmaximal, complemented
23#20288621C212yesmaximal, complemented
24#20288615C211yesmaximal, characteristic, complemented
25#20288600C212yesmaximal, complemented
26#20288593C212yesmaximal, complemented
27#20288538C212yesmaximal, complemented
28#20288529C211yesmaximal, characteristic, complemented
29#20288526C211yesmaximal, characteristic, complemented
30#20288431C212yesmaximal, complemented
31#20288426C212yesmaximal, complemented
32#20288010C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34#533×D53C211yesmaximal, characteristic, complemented
35C53×#3547C211yesmaximal, characteristic, complemented
36#16811376C2214yes—
37#16811374C2214yes—
38#16811374C2214yes—
39#16811372C2214yes—
40#16811370C2214yes—
41#16811368C2214yes—
42#16811368C2214yes—
43Q8×Dic106C2211yescharacteristic, complemented
44#16811353C2212yescomplemented
45#16811353C2211yescharacteristic, complemented
46#16811351C2211yescharacteristic, complemented
47#16811350C2212yescomplemented
48#16811350C2214yescomplemented
49#16811350C2212yescomplemented
50#16811349C2212yescomplemented
51#16811348C2211yescharacteristic, complemented
52#16811348C2214yescomplemented
53#16811348C2214yescomplemented
54#16811347C2212yes—
55#16811347C2211yescharacteristic, complemented
56#16811345C2212yescomplemented
57#16811344C2212yes—
58#16811344C2214yescomplemented
59#16811344C2214yescomplemented
60#16811343C2212yes—
61#16811343C2211yescharacteristic, complemented
62#16811342C2214yes—
63#16811342C2214yes—
64#16811342C2214yescomplemented
65#16811342C2214yescomplemented
66#16811342C2212yescomplemented
67#16811341C2212yes—
68#16811341C2212yes—
69#16811341C2212yes—
70#16811341C2214yescomplemented
71#16811341C2212yescomplemented
72#16811340C2214yes—
73#16811338C2212yes—
74#16811338C2211yescharacteristic, complemented
75#16811337C2212yes—
76#16811337C2214yes—
77#16811337C2212yes—
78#16811337C2212yescomplemented
79#16811335C2214yes—
80#16811334C2214yes—
81#16811334C2211yescharacteristic, complemented
82#16811332C2212yescomplemented
83#16811331C2212yes—
84#16811331C2214yes—
85#16811331C2214yescomplemented
86#16811330C2211yescharacteristic, complemented
87#16811330C2211yescharacteristic, complemented
88#16811329C2214yes—
89#16811328C2212yes—
90#16811328C2212yescomplemented
91#16811327C2214yes—
92#16811327C2214yes—
93#16811327C2214yescomplemented
94#16811325C2212yes—
95#16811323C2212yes—
96#16811322C2214yes—
97#16811320C2212yes—
98#16811320C2212yes—
99#16811320C2214yes—
100#16811320C2214yes—
101#16811318C2214yes—
102#16811318C2214yes—
103#16811318C2214yes—
104#16811317C2212yes—
105#16811316C2214yes—
106#16811316C2214yescomplemented
107#16811316C2214yescomplemented
108#16811315C2212yes—
109#16811313C2212yes—
110#16811313C2214yescomplemented
111#16811313C2212yescomplemented
112#16811312C2212yes—
113#16811311C2212yes—
114#16811310C2214yes—
115#16811310C2214yes—
116#16811310C2214yescomplemented
117#16811310C2214yescomplemented
118#16811310C2214yescomplemented
119#16811310C2214yescomplemented
120#16811309C2214yescomplemented
121#16811308C2212yes—
122#16811308C2212yes—
123#16811307C2214yescomplemented
124#16811306C2214yes—
125D4×Dic106C2211yescharacteristic, complemented
126D4×Dic106C2212yescomplemented
127Q8×C22⋊D53C2212yes—
128#16811286C2212yes—
129#16811286C2214yes—
130#16811284C2212yes—
131#16811283C2212yes—
132#16811282C2212yescomplemented
133#16811281C2214yes—
134#16811280C2212yes—
135#16811279C2212yes—
136#16811279C2214yes—
137#16811279C2214yescomplemented
138#16811278C2211yescharacteristic, complemented
139#16811275C2212yes—
140#16811273C2214yes—
141#16811273C2212yescomplemented
142#16811272C2212yes—
143#16811253C2212yes—
144#16811253C2212yescomplemented
145#16811252C2214yescomplemented
146#16811252C2214yescomplemented
147#16811251C2212yescomplemented
148#16811250C2212yes—
149#16811250C2212yescomplemented
150#16811246C2214yes—
151#16811246C2212yes—
152#16811246C2212yescomplemented
153#16811243C2214yes—
154#16811241C2214yescomplemented
155#16811241C2214yescomplemented
156#16811240C2214yes—
157#16811240C2212yes—
158#16811240C2214yescomplemented
159#16811240C2212yescomplemented
160#16811237C2214yes—
161#16811237C2214yes—
162#16811237C2214yescomplemented
163#16811237C2214yescomplemented
164#16811237C2214yescomplemented
165#16811236C2212yescomplemented
166#16811235C2212yescomplemented
167#16811233C2212yes—
168#16811233C2212yes—
169#16811233C2214yescomplemented
170#16811233C2212yescomplemented
171#16811233C2212yescomplemented
172#16811232C2214yes—
173#16811232C2214yescomplemented
174#16811231C2214yescomplemented
175#16811230C2214yescomplemented
176#16811230C2214yescomplemented
177#16811227C2212yescomplemented
178#16811219C2214yes—
179#16811218C2214yes—
180#16811217C2214yes—
181#16811216C2214yes—
182#16811209C2214yes—
183#16811207C2214yes—
184#16811205C2214yes—
185#16811205C2214yes—
186#16811202C2212yes—
187#16811202C2212yes—
188#16811201C2212yes—
189#16811200C2214yes—
190#16811195C2214yes—
191#16811194C2212yes—
192#16811180C2211yescharacteristic
193#16811180C2211yescharacteristic
194#16811179C2212yes—
195#16811179C2211yescharacteristic
196#16811178C2211yescharacteristic
197#16811178C2211yescharacteristic
198#16811178C2211yescharacteristic
199#16811178C2211yescharacteristic
200#16811178C2212yescomplemented
201#16811177C2212yes—
202#16811177C2212yes—
203#16811177C2211yescharacteristic
204#16811176C2212yes—
205#16811176C2212yescomplemented
206#16811176C2212yescomplemented
207#16811175C2212yes—
208#16811175C2212yes—
209#16811175C2211yescharacteristic
210#16811175C2212yescomplemented
211#16811175C2212yescomplemented
212#16811175C2212yescomplemented
213#16811172C2211yescharacteristic
214#16811171C2211yescharacteristic
215#16811171C2211yescharacteristic
216#16811170C2211yescharacteristic
217#16811169C2212yescomplemented
218#16811168C2211yescharacteristic
219#16811168C2212yescomplemented
220C2×#13133216C2212yescomplemented
221C2×#13133215C2212yescomplemented
222C4⋊Q8×D53C2211yescharacteristic
223C4⋊Q8×D53C2211yescharacteristic
224#16811158C2211yescharacteristic
225#16811157C2211yescharacteristic
226#16811156C2212yes—
227#16811156C2212yes—
228#16811156C2214yes—
229#16811155C2211yescharacteristic
230#16811155C2212yes—
231#16811155C2211yescharacteristic
232#16811155C2214yes—
233#16811155C2212yescomplemented
234#16811155C2212yescomplemented
235#16811154C2212yes—
236#16811154C2211yescharacteristic
237#16811154C2211yescharacteristic
238#16811154C2212yescomplemented
239#16811154C2212yescomplemented
240#16811152C2211yescharacteristic
241#16811152C2212yes—
242#16811152C2212yes—
243#16811152C2214yes—
244#16811151C2212yes—
245#16811151C2214yes—
246#16811150C2212yes—
247C2×#13133208C2212yescomplemented
248#125×D53C2212yes—
249#125×D53C2212yescomplemented
250#16811136C2211yescharacteristic
251#16811133C2211yescharacteristic
252#16811133C2211yescharacteristic
253#16811133C2211yescharacteristic
254#16811133C2212yes—
255#16811132C2212yes—
256#16811131C2212yes—
257#16811130C2212yes—
258C22⋊Q8×D53C2212yes—
259C22⋊Q8×D53C2212yes—
260#16811106C2212yescomplemented
261#16811104C2212yes—
262#16811104C2212yescomplemented
263#16811103C2212yes—
264#16811102C2212yes—
265#16811102C2212yes—
266#16811102C2214yescomplemented
267#16811101C2212yescomplemented
268#16811100C2214yescomplemented
269#16811100C2212yescomplemented
270#41×Dic53C2212yes—
271C4×#11719949C2211yescharacteristic
272#16811091C2212yes—
273C4×#11719947C2211yescharacteristic
274C4×#11719947C2212yes—
275C4×#11719947C2211yescharacteristic
276C4×#11719947C2211yescharacteristic
277C4×#11719947C2212yes—
278C4×Q8×D53C2212yes—
279C4×Q8×D53C2212yes—
280#117×D53C2212yes—
281C2×C42×D53C2211yescharacteristic
282C53×#562C2214yes—
283C53×#555C2212yes—
284C53×#555C2211yescharacteristic, complemented
285C53×#554C2211yescharacteristic, complemented
286C53×#553C2212yes—
287C53×#552C2212yescomplemented
288D4×Q8×C53C2211yescharacteristic, complemented
289C53×#548C2212yescomplemented
290C53×#547C2211yescharacteristic, complemented
291C53×#544C2212yescomplemented
292C53×#542C2214yescomplemented
293C53×#540C2212yescomplemented
294C53×#537C2212yes—
295C53×#536C2212yes—
296C53×#533C2211yescharacteristic
297C53×#532C2211yescharacteristic
298C53×#529C2211yescharacteristic
299C2×#11719949C2311yescharacteristic
300C2×#11719945C2312yes—
301C2×#11719945C2312yes—
302C2×#11719947C2311yescharacteristic
303C2×#11719947C2311yescharacteristic
304C2×#11719947C2311yescharacteristic
305C2×#11719947C2312yes—
306C2×#11719947C2314yes—
307C2×#11719947C2312yes—
308C22×Dic106C2314yes—
309C22×Dic106C2312yes—
310C2×Q8×D53C2312yes—
311C2×Q8×D53C2312yes—
312C22×C4×D53C2311yescharacteristic
313C22×C4×D53C2311yescharacteristic
314C22×C4×D53C2311yescharacteristic
315#13133217C2311yescharacteristic
316#13133217C2312yes—
317#13133217C2311yescharacteristic
318#13133217C2311yescharacteristic
319#13133217C2311yescharacteristic
320#13133216C2314yes—
321#13133216C2312yes—
322#13133216C2314yes—
323#13133216C2314yes—
324#13133216C2312yes—
325#13133216C2312yes—
326#13133216C2312yes—
327#13133216C2312yes—
328#13133216C2314yes—
329#13133216C2312yes—
330#13133216C2314yes—
331#13133216C2314yes—
332#13133216C2312yes—
333#13133216C2312yes—
334#13133216C2311yescharacteristic
335#13133216C2311yescharacteristic
336#13133215C2312yes—
337#13133215C2312yes—
338#13133215C2314yes—
339#13133215C2314yes—
340#13133215C2314yes—
341#13133215C2314yes—
342#13133215C2314yes—
343#13133215C2312yes—
344#13133215C2312yes—
345#13133215C2311yescharacteristic
346#13133213C2311yescharacteristic
347#13133212C2314yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2314yes—
352#13133212C2314yes—
353#13133212C2314yes—
354#13133212C2312yes—
355#13133211C2314yes—
356#13133211C2314yes—
357#13133211C2314yes—
358#13133211C2312yes—
359#13133210C2312yes—
360#13133210C2314yes—
361#13133210C2312yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2314yes—
370#13133210C2314yes—
371#13133210C2314yes—
372#13133210C2314yes—
373#13133210C2314yes—
374#13133210C2314yes—
375#13133210C2314yes—
376#13133210C2314yes—
377#13133210C2314yes—
378#13133210C2312yes—
379#13133210C2312yes—
380#13133210C2312yes—
381#13133209C2314yes—
382#13133209C2312yes—
383#13133209C2311yescharacteristic
384#13133209C2312yes—
385#13133209C2312yes—
386#13133208C2314yes—
387#13133208C2312yes—
388#13133208C2312yes—
389#13133208C2314yes—
390#13133208C2314yes—
391#13133208C2314yes—
392#13133208C2314yes—
393#13133208C2314yes—
394#13133208C2312yes—
395#13133208C2312yes—
396#13133208C2312yes—
397#13133208C2312yes—
398#13133208C2311yescharacteristic
399#13133208C2311yescharacteristic
400#13133208C2312yes—
401#13133207C2314yes—
402#13133207C2314yes—
403#13133207C2314yes—
404#13133207C2314yes—
405#13133207C2314yes—
406#13133207C2314yes—
407#13133207C2314yes—
408#13133207C2314yes—
409#13133207C2314yes—
410#13133207C2312yes—
411#13133207C2314yes—
412#13133207C2314yes—
413#13133207C2314yes—
414#13133207C2314yes—
415#13133207C2314yes—
416#13133207C2314yes—
417#13133207C2314yes—
418#13133207C2314yes—
419#13133207C2312yes—
420#13133206C2312yes—
421#13133206C2314yes—
422#13133205C2311yescharacteristic
423#13133204C2312yes—
424#13133204C2314yes—
425#13133204C2314yes—
426#13133204C2314yes—
427#13133204C2314yes—
428#13133204C2311yescharacteristic
429#13133204C2311yescharacteristic
430#13133204C2312yes—
431#13133203C2314yes—
432#13133203C2314yes—
433#13133203C2314yes—
434#13133203C2312yes—
435#13133203C2314yes—
436#13133203C2314yes—
437#13133203C2314yes—
438#13133203C2314yes—
439#13133203C2314yes—
440#13133203C2314yes—
441#13133203C2312yes—
442#13133202C2314yes—
443#13133202C2312yes—
444#13133202C2312yes—
445#13133201C2314yes—
446#13133200C2314yes—
447#13133200C2314yes—
448#13133200C2312yes—
449#13133199C2314yes—
450#13133199C2314yes—
451#13133199C2314yes—
452#13133199C2314yes—
453#13133199C2314yes—
454#13133199C2312yes—
455#13133199C2312yes—
456#13133199C2312yes—
457#13133199C2312yes—
458#13133199C2312yes—
459#13133199C2312yes—
460#13133198C2314yes—
461#13133198C2314yes—
462#13133198C2314yes—
463#13133198C2314yes—
464#13133198C2314yes—
465#13133198C2314yes—
466#13133198C2314yes—
467#13133198C2312yes—
468#13133198C2312yes—
469#13133197C2312yes—
470#13133197C2314yes—
471#13133197C2314yes—
472#13133197C2311yescharacteristic
473#13133197C2314yes—
474#13133197C2311yescharacteristic
475#13133197C2312yes—
476#13133197C2312yes—
477#13133197C2312yes—
478#13133197C2311yescharacteristic
479#13133197C2312yes—
480#13133196C2312yes—
481#13133196C2312yes—
482#13133196C2314yes—
483#13133196C2312yes—
484#13133196C2314yes—
485#13133196C2314yes—
486#13133196C2312yes—
487#13133196C2311yescharacteristic
488#13133196C2312yes—
489#13133196C2311yescharacteristic
490#13133196C2312yes—
491#13133196C2312yes—
492#13133196C2312yes—
493#13133196C2311yescharacteristic
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2312yes—
497#13133195C2314yes—
498#13133195C2314yes—
499#13133195C2312yes—
500#13133195C2314yes—
501#13133195C2314yes—
502#13133195C2314yes—
503#13133195C2312yes—
504#13133194C2314yes—
505#13133194C2314yes—
506#13133194C2314yes—
507#13133194C2314yes—
508#13133194C2314yes—
509#13133194C2314yes—
510#13133194C2314yes—
511#13133194C2314yes—
512#13133194C2314yes—
513#13133194C2314yes—
514#13133194C2314yes—
515#13133194C2314yes—
516#13133194C2314yes—
517#13133194C2312yes—
518#13133194C2314yes—
519#13133194C2314yes—
520#13133194C2314yes—
521#13133193C2312yes—
522#13133193C2314yes—
523#13133193C2314yes—
524#13133193C2311yescharacteristic
525#13133193C2314yes—
526#13133193C2312yes—
527#13133193C2314yes—
528#13133193C2312yes—
529#13133193C2312yes—
530#13133192C2311yescharacteristic
531#13133191C2312yes—
532#13133191C2314yes—
533#13133191C2311yescharacteristic
534#13133190C2314yes—
535#13133190C2312yes—
536#13133190C2314yes—
537#13133190C2314yes—
538#13133190C2312yes—
539#13133190C2312yes—
540#13133189C2314yes—
541#13133189C2314yes—
542#13133189C2314yes—
543#13133189C2314yes—
544#13133189C2314yes—
545#13133189C2314yes—
546#13133189C2312yes—
547#13133189C2314yes—
548#13133189C2314yes—
549#13133188C2314yes—
550#13133188C2312yes—
551#13133188C2312yes—
552#13133188C2311yescharacteristic
553#13133188C2314yes—
554#13133188C2314yes—
555#13133188C2312yes—
556#13133188C2312yes—
557#13133188C2311yescharacteristic
558#13133188C2311yescharacteristic
559#13133188C2312yes—
560#13133187C2312yes—
561#13133185C2312yes—
562#13133185C2312yes—
563#13133185C2312yes—
564Q8×Dic53C2312yes—
565Q8×Dic53C2312yes—
566Q8×Dic53C2312yes—
567Q8×Dic53C2312yes—
568Q8×Dic53C2314yes—
569Q8×Dic53C2312yes—
570Q8×Dic53C2312yes—
571Q8×Dic53C2314yes—
572Q8×Dic53C2312yes—
573Q8×Dic53C2311yescharacteristic
574C4×Dic106C2314yes—
575C4×Dic106C2312yes—
576C4×Dic106C2311yescharacteristic
577C4×Dic106C2312yes—
578C4×Dic106C2314yes—
579C4×Dic106C2314yes—
580C4×Dic106C2312yes—
581C4×Dic106C2312yes—
582C4×Dic106C2314yes—
583C4×Dic106C2311yescharacteristic
584C4×Dic106C2314yes—
585C4×Dic106C2314yes—
586C4×Dic106C2314yes—
587C4×Dic106C2314yes—
588C4×Dic106C2312yes—
589C4×Dic106C2312yes—
590C4×Dic106C2311yescharacteristic
591#13133182C2314yes—
592#13133182C2312yes—
593#13133182C2314yes—
594#13133182C2312yes—
595#13133182C2312yes—
596#13133182C2314yes—
597#13133182C2312yes—
598#13133182C2314yes—
599#13133182C2312yes—
600#13133182C2312yes—
601#13133182C2312yes—
602#13133182C2312yes—
603#13133182C2314yes—
604#13133182C2312yes—
605#13133182C2311yescharacteristic
606#13133182C2314yes—
607#13133182C2311yescharacteristic
608#13133182C2312yes—
609#13133182C2314yes—
610#13133182C2312yes—
611#13133182C2311yescharacteristic
612C4×D212C2311yescharacteristic
613C4×D212C2314yes—
614C4×D212C2312yes—
615D4×Dic53C2312yes—
616D4×Dic53C2312yes—
617D4×Dic53C2311yescharacteristic
618D4×Dic53C2312yes—
619D4×Dic53C2314yes—
620D4×Dic53C2314yes—
621D4×Dic53C2312yes—
622D4×Dic53C2314yes—
623D4×Dic53C2311yescharacteristic
624D4×Dic53C2312yes—
625D4×Dic53C2312yes—
626D4×Dic53C2312yes—
627D4×Dic53C2312yes—
628D4×Dic53C2312yes—
629D4×Dic53C2312yes—
630D4×Dic53C2311yescharacteristic
631D4×Dic53C2312yes—
632#13133179C2312yes—
633#13133179C2314yes—
634#13133179C2312yes—
635#13133179C2312yes—
636#13133179C2311yescharacteristic
637#13133179C2312yes—
638C4×C22⋊D53C2312yes—
639C4×C22⋊D53C2314yes—
640C4×C22⋊D53C2312yes—
641C4×C22⋊D53C2312yes—
642C4×C22⋊D53C2314yes—
643C4×C22⋊D53C2314yes—
644C4×C22⋊D53C2312yes—
645C4×C22⋊D53C2314yes—
646C4×C22⋊D53C2314yes—
647C4×C22⋊D53C2312yes—
648C4×C22⋊D53C2314yes—
649C4×C22⋊D53C2314yes—
650C4×C22⋊D53C2312yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2314yes—
653#13133177C2312yes—
654#13133177C2314yes—
655#13133177C2314yes—
656#13133177C2312yes—
657#13133177C2314yes—
658#13133177C2314yes—
659#13133177C2312yes—
660#13133177C2314yes—
661#13133177C2312yes—
662#13133177C2312yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133177C2312yes—
667#13133177C2312yes—
668#13133177C2312yes—
669#13133176C2314yes—
670#13133176C2314yes—
671#13133176C2314yes—
672#13133176C2314yes—
673#13133176C2312yes—
674#13133176C2312yes—
675#13133176C2312yes—
676#13133176C2312yes—
677#13133176C2312yes—
678#13133176C2312yes—
679#13133175C2312yes—
680#13133175C2314yes—
681#13133175C2311yescharacteristic
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133175C2311yescharacteristic
686#13133175C2312yes—
687#13133175C2312yes—
688#13133175C2311yescharacteristic
689#13133175C2311yescharacteristic
690#13133175C2312yes—
691#13133174C2314yes—
692#13133174C2314yes—
693#13133174C2312yes—
694#13133174C2312yes—
695#13133173C2314yes—
696#13133173C2314yes—
697#13133173C2312yes—
698#13133173C2314yes—
699#13133173C2314yes—
700#13133173C2314yes—
701#13133173C2312yes—
702#13133173C2314yes—
703#13133173C2314yes—
704#13133173C2314yes—
705#13133173C2314yes—
706#13133173C2312yes—
707#13133173C2312yes—
708#13133173C2312yes—
709#13133173C2312yes—
710#13133173C2312yes—
711C2×C4⋊Dic53C2314yes—
712C2×C4⋊Dic53C2312yes—
713C2×C4⋊Dic53C2312yes—
714C2×#11719919C2314yes—
715C2×#11719919C2314yes—
716C2×#11719919C2314yes—
717C2×#11719919C2314yes—
718C4⋊C4×D53C2314yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2314yes—
721C4⋊C4×D53C2312yes—
722C4⋊C4×D53C2312yes—
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2314yes—
725C4⋊C4×D53C2314yes—
726C4⋊C4×D53C2312yes—
727C4⋊C4×D53C2312yes—
728C22⋊C4×D53C2314yes—
729C2×C4×Dic53C2311yescharacteristic
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2312yes—
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—
745C2×#41×C53C2312yes—
746C2×#41×C53C2312yes—
747C22×Q8×C53C2312yes—
748C4⋊Q8×C53C2311yescharacteristic
749C4⋊Q8×C53C2311yescharacteristic
750C4⋊Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2314yes—
752C4⋊Q8×C53C2312yes—
753#127×C53C2311yescharacteristic
754#126×C53C2312yes—
755#126×C53C2314yes—
756#125×C53C2311yescharacteristic
757#125×C53C2312yes—
758#125×C53C2312yes—
759#125×C53C2314yes—
760#124×C53C2314yes—
761#124×C53C2311yescharacteristic
762#124×C53C2312yes—
763#124×C53C2314yes—
764#124×C53C2314yes—
765#123×C53C2312yes—
766#123×C53C2314yes—
767#123×C53C2314yes—
768#123×C53C2314yes—
769#123×C53C2314yes—
770C22⋊Q8×C53C2312yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2314yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2311yescharacteristic
775C22⋊Q8×C53C2312yes—
776C22⋊Q8×C53C2312yes—
777C22⋊Q8×C53C2314yes—
778C22⋊Q8×C53C2314yes—
779C22⋊Q8×C53C2314yes—
780#121×C53C2314yes—
781#121×C53C2312yes—
782#121×C53C2314yes—
783#121×C53C2312yes—
784#121×C53C2314yes—
785#121×C53C2311yescharacteristic
786#121×C53C2311yescharacteristic
787#121×C53C2311yescharacteristic
788#121×C53C2312yes—
789#121×C53C2314yes—
790#121×C53C2312yes—
791C4×Q8×C53C2311yescharacteristic
792C4×Q8×C53C2312yes—
793C4×Q8×C53C2312yes—
794C4×D4×C53C2311yescharacteristic
795C4×D4×C53C2312yes—
796C4×D4×C53C2311yescharacteristic
797C4×D4×C53C2312yes—
798C4×D4×C53C2312yes—
799C4×D4×C53C2311yescharacteristic
800C4×D4×C53C2314yes—
801C4×D4×C53C2312yes—
802#117×C53C2314yes—
803#117×C53C2312yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806#117×C53C2312yes—
807C2×C4⋊C4×C53C2312yes—
808C2×C4⋊C4×C53C2312yes—
809C2×C42×C53C2311yescharacteristic
810C23×D53C2411yescharacteristic
811#41×C53—44no—
812#41×C53—44no—
813C2×Q8×C53—44no—
814C2×Q8×C53C2411yescharacteristic
815C2×Q8×C53C2412yes—
816C2×Q8×C53C2412yes—
817C2×Q8×C53C2414yes—
818C2×Q8×C53C2412yes—
819C2×D4×C53C2411yescharacteristic
820C2×D4×C53C2411yescharacteristic
821C2×D4×C53C2411yescharacteristic
822C2×D4×C53C2412yes—
823C2×D4×C53C2414yes—
824C2×D4×C53C2412yes—
825C2×D4×C53C2412yes—
826C2×D4×C53C2414yes—
827C2×D4×C53C2412yes—
828C2×D4×C53C2412yes—
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2411yescharacteristic
831C22×C4×C53C2412yes—
832C22×C4×C53C2412yes—
833C22×C4×C53C2412yes—
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2414yes—
836C22×C4×C53C2414yes—
837C22×C4×C53C2414yes—
838C2×C22⋊D53C2412yes—
839C2×C22⋊D53C2412yes—
840C2×C22⋊D53C2412yes—
841C2×C22⋊D53C2412yes—
842C2×C22⋊D53C2412yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2412yes—
847C2×C22⋊D53C2414yes—
848C2×C22⋊D53C2414yes—
849C22×Dic53C2411yescharacteristic
850C22×Dic53C2411yescharacteristic
851C22×Dic53C2412yes—
852C22×Dic53C2412yes—
853C22×Dic53C2412yes—
854C22×Dic53C2412yes—
855C22×Dic53C2411yescharacteristic
856C22×Dic53C2412yes—
857C22×Dic53C2412yes—
858C22×Dic53C2414yes—
859C22×Dic53C2414yes—
860C22×Dic53C2414yes—
861#11719949—42no—
862Q8×D53—44no—
863Q8×D53—44no—
864#11719947—24no—
865#11719947—24no—
866#11719947—42no—
867#11719947—44no—
868#11719947—48no—
869#11719947—44no—
870#11719945—28no—
871#11719945—44no—
872C2×D212C2412yes—
873C2×D212C2411yescharacteristic
874C2×D212C2412yes—
875C2×C4×D53—24no—
876C2×C4×D53—42no—
877C2×C4×D53—42no—
878C2×C4×D53C2411yescharacteristic
879C2×C4×D53C2411yescharacteristic
880C2×C4×D53C2411yescharacteristic
881C2×C4×D53C2411yescharacteristic
882C2×C4×D53C2411yescharacteristic
883C2×C4×D53C2411yescharacteristic
884C2×C4×D53C2411yescharacteristic
885C2×C4×D53C2412yes—
886C2×C4×D53C2411yescharacteristic
887C2×C4×D53C2411yescharacteristic
888C2×C4×D53C2411yescharacteristic
889C2×C4×D53C2411yescharacteristic
890C2×C4×D53C2414yes—
891C2×C4×D53C2414yes—
892C2×C4×D53C2412yes—
893C2×C4×D53C2412yes—
894C2×C4×D53C2414yes—
895C2×C4×D53C2414yes—
896C2×C4×D53C2411yescharacteristic
897C2×Dic106—48no—
898C2×Dic106—44no—
899C2×Dic106C2412yes—
900C2×Dic106C2411yescharacteristic
901C2×Dic106C2411yescharacteristic
902C2×Dic106C2412yes—
903C2×Dic106C2412yes—
904C2×Dic106C2411yescharacteristic
905C2×Dic106C2414yes—
906C2×Dic106C2414yes—
907C2×Dic106C2412yes—
908C2×Dic106C2414yes—
909C2×Dic106C2412yes—
910C2×Dic106C2414yes—
911C2×Dic106C2414yes—
912C4⋊C4×C53C2411yescharacteristic
913C4⋊C4×C53C2411yescharacteristic
914C4⋊C4×C53C2412yes—
915C4⋊C4×C53C2412yes—
916C4⋊C4×C53C2414yes—
917C4⋊C4×C53C2414yes—
918C4⋊C4×C53C2412yes—
919C4⋊C4×C53C2411yescharacteristic
920C4⋊C4×C53C2411yescharacteristic
921C4⋊C4×C53C2412yes—
922C4⋊C4×C53C2414yes—
923C4⋊C4×C53C2412yes—
924C4⋊C4×C53C2412yes—
925C4⋊C4×C53C2412yes—
926C4⋊C4×C53C2414yes—
927C4⋊C4×C53C2414yes—
928C4⋊C4×C53C2414yes—
929C4⋊C4×C53C2412yes—
930C4⋊C4×C53C2412yes—
931C22⋊C4×C53C2412yes—
932C22⋊C4×C53C2412yes—
933C22⋊C4×C53C2414yes—
934C22⋊C4×C53C2412yes—
935C22⋊C4×C53C2414yes—
936C22⋊C4×C53C2414yes—
937C22⋊C4×C53C2414yes—
938C22⋊C4×C53C2412yes—
939C22⋊C4×C53C2412yes—
940C22⋊C4×C53C2414yes—
941C22⋊C4×C53C2412yes—
942C22⋊C4×C53C2414yes—
943C22⋊C4×C53C2412yes—
944C22⋊C4×C53C2412yes—
945C22⋊C4×C53C2412yes—
946C42×C53C2411yescharacteristic
947C42×C53C2411yescharacteristic
948C42×C53C2411yescharacteristic
949C42×C53C2411yescharacteristic
950C42×C53C2414yes—
951C42×C53C2414yes—
952C42×C53C2412yes—
953C22⋊Dic53C2414yes—
954C22⋊Dic53C2412yes—
955C22⋊Dic53C2412yes—
956C22⋊Dic53C2412yes—
957C22⋊Dic53C2414yes—
958C22⋊Dic53C2412yes—
959C22⋊Dic53C2412yes—
960C22⋊Dic53C2412yes—
961C22⋊Dic53C2414yes—
962C22⋊Dic53C2414yes—
963C22⋊Dic53C2412yes—
964C22⋊Dic53C2412yes—
965C22⋊Dic53C2412yes—
966C22⋊Dic53C2414yes—
967C22⋊Dic53C2414yes—
968C22⋊Dic53C2412yes—
969C22⋊Dic53C2412yes—
970C22⋊Dic53C2414yes—
971C22⋊Dic53C2412yes—
972C22⋊Dic53C2412yes—
973C22⋊Dic53C2414yes—
974#11719921C2414yes—
975#11719921C2414yes—
976#11719921C2412yes—
977#11719921C2412yes—
978#11719921C2412yes—
979#11719921C2412yes—
980#11719921C2412yes—
981#11719921C2414yes—
982#11719921C2412yes—
983#11719921C2412yes—
984#11719921C2412yes—
985#11719921C2412yes—
986#11719921C2412yes—
987#11719921C2412yes—
988#11719921C2412yes—
989#11719921C2414yes—
990#11719921C2414yes—
991#11719921C2414yes—
992#11719921C2412yes—
993#11719921C2412yes—
994C4⋊Dic53C2411yescharacteristic
995C4⋊Dic53C2412yes—
996C4⋊Dic53C2412yes—
997C4⋊Dic53C2414yes—
998C4⋊Dic53C2412yes—
999C4⋊Dic53C2412yes—
1000C4⋊Dic53C2414yes—
1001C4⋊Dic53C2412yes—
1002C4⋊Dic53C2411yescharacteristic
1003C4⋊Dic53C2414yes—
1004C4⋊Dic53C2414yes—
1005C4⋊Dic53C2414yes—
1006C4⋊Dic53C2411yescharacteristic
1007C4⋊Dic53C2412yes—
1008C4⋊Dic53C2411yescharacteristic
1009C4⋊Dic53C2412yes—
1010C4⋊Dic53C2412yes—
1011C4⋊Dic53C2412yes—
1012C4⋊Dic53C2412yes—
1013C4⋊Dic53C2412yes—
1014C4⋊Dic53C2412yes—
1015C4⋊Dic53C2412yes—
1016C4⋊Dic53C2414yes—
1017C4⋊Dic53C2414yes—
1018C4⋊Dic53C2414yes—
1019#11719919C2412yes—
1020#11719919C2414yes—
1021#11719919C2414yes—
1022#11719919C2414yes—
1023#11719919C2414yes—
1024#11719919C2414yes—
1025#11719919C2414yes—
1026#11719919C2414yes—
1027#11719919C2414yes—
1028#11719919C2414yes—
1029#11719919C2414yes—
1030#11719919C2414yes—
1031#11719919C2414yes—
1032#11719919C2412yes—
1033#11719919C2412yes—
1034#11719919C2412yes—
1035#11719919C2414yes—
1036#11719919C2414yes—
1037#11719919C2414yes—
1038#11719919C2414yes—
1039#11719919C2414yes—
1040#11719919C2414yes—
1041#11719919C2412yes—
1042#11719919C2412yes—
1043#11719919C2412yes—
1044#11719919C2412yes—
1045#11719919C2412yes—
1046#11719919C2412yes—
1047#11719919C2412yes—
1048#11719919C2412yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2412yes—
1053#11719919C2414yes—
1054#11719919C2414yes—
1055#11719919C2414yes—
1056#11719919C2414yes—
1057#11719919C2412yes—
1058#11719919C2412yes—
1059C4×Dic53C2411yescharacteristic
1060C4×Dic53C2411yescharacteristic
1061C4×Dic53C2411yescharacteristic
1062C4×Dic53C2411yescharacteristic
1063C4×Dic53C2411yescharacteristic
1064C4×Dic53C2411yescharacteristic
1065C4×Dic53C2411yescharacteristic
1066C4×Dic53C2411yescharacteristic
1067C4×Dic53C2411yescharacteristic
1068C4×Dic53C2411yescharacteristic
1069C4×Dic53C2411yescharacteristic
1070C4×Dic53C2411yescharacteristic
1071C4×Dic53C2414yes—
1072C4×Dic53C2414yes—
1073C4×Dic53C2412yes—
1074C4×Dic53C2414yes—
1075C4×Dic53C2412yes—
1076C4×Dic53C2412yes—
1077C4×Dic53C2412yes—
1078C4×Dic53C2412yes—
1079C4×Dic53C2412yes—
1080C4×Dic53C2412yes—
1081C4×Dic53C2412yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2412yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2414yes—
1090C4×Dic53C2414yes—
1091C4×Dic53C2414yes—
1092C23×C53C2512yes—
1093C23×C53C2512yes—
1094C23×C53C2512yes—
1095C23×C53C2511yescharacteristic
1096C22×D53—22no—
1097C22×D53—41no—
1098C22×D53—41no—
1099C22×D53C2512yes—
1100C22×D53C2511yescharacteristic
1101C22×D53C2511yescharacteristic
1102Q8×C53—24no—
1103Q8×C53—22no—
1104Q8×C53—42no—
1105Q8×C53—44no—
1106Q8×C53—42no—
1107D4×C53—22no—
1108D4×C53—22no—
1109D4×C53—22no—
1110D4×C53—42no—
1111D4×C53—44no—
1112D4×C53—42no—
1113D4×C53—42no—
1114D4×C53—44no—
1115D4×C53—42no—
1116D4×C53—42no—
1117C2×C4×C53—22no—
1118C2×C4×C53—24no—
1119C2×C4×C53—24no—
1120C2×C4×C53—22no—
1121C2×C4×C53—24no—
1122C2×C4×C53—44no—
1123C2×C4×C53—41no—
1124C2×C4×C53—44no—
1125C2×C4×C53—44no—
1126C2×C4×C53C2512yes—
1127C2×C4×C53C2511yescharacteristic
1128C2×C4×C53C2514yes—
1129C2×C4×C53C2511yescharacteristic
1130C2×C4×C53C2512yes—
1131C2×C4×C53C2514yes—
1132C2×C4×C53C2512yes—
1133C2×C4×C53C2512yes—
1134C2×C4×C53C2511yescharacteristic
1135C2×C4×C53C2511yescharacteristic
1136C2×C4×C53C2512yes—
1137C2×C4×C53C2511yescharacteristic
1138C2×C4×C53C2511yescharacteristic
1139C22⋊D53—24no—
1140C22⋊D53—24no—
1141C22⋊D53—24no—
1142C22⋊D53—24no—
1143C22⋊D53—24no—
1144C22⋊D53—44no—
1145C22⋊D53—44no—
1146C22⋊D53—42no—
1147C22⋊D53—42no—
1148C22⋊D53—42no—
1149C22⋊D53—42no—
1150C2×Dic53—22no—
1151C2×Dic53—24no—
1152C2×Dic53—24no—
1153C2×Dic53—24no—
1154C2×Dic53—22no—
1155C2×Dic53—24no—
1156C2×Dic53—44no—
1157C2×Dic53—44no—
1158C2×Dic53—41no—
1159C2×Dic53—44no—
1160C2×Dic53—42no—
1161C2×Dic53—42no—
1162C2×Dic53C2512yes—
1163C2×Dic53C2511yescharacteristic
1164C2×Dic53C2514yes—
1165C2×Dic53C2514yes—
1166C2×Dic53C2512yes—
1167C2×Dic53C2512yes—
1168C2×Dic53C2512yes—
1169C2×Dic53C2512yes—
1170C2×Dic53C2512yes—
1171C2×Dic53C2512yes—
1172C2×Dic53C2511yescharacteristic
1173C2×Dic53C2511yescharacteristic
1174C2×Dic53C2511yescharacteristic
1175C2×Dic53C2511yescharacteristic
1176C2×Dic53C2511yescharacteristic
1177D212—24no—
1178D212—22no—
1179D212—42no—
1180C4×D53—22no—
1181C4×D53—22no—
1182C4×D53—24no—
1183C4×D53—22no—
1184C4×D53—22no—
1185C4×D53—22no—
1186C4×D53—22no—
1187C4×D53—22no—
1188C4×D53—41no—
1189C4×D53—41no—
1190C4×D53—41no—
1191C4×D53—41no—
1192C4×D53—44no—
1193C4×D53—44no—
1194C4×D53—42no—
1195C4×D53—44no—
1196C4×D53—44no—
1197C4×D53—42no—
1198C4×D532−1+414yes—
1199Dic106—22no—
1200Dic106—22no—
1201Dic106—22no—
1202Dic106—24no—
1203Dic106—24no—
1204Dic106—24no—
1205Dic106—28no—
1206Dic106—44no—
1207Dic106—44no—
1208Dic106—44no—
1209Dic106—42no—
1210Dic106—44no—
1211Dic106—42no—
1212#62838—531nomaximal, Sylow
1213C22×C53—22no—
1214C22×C53—22no—
1215C22×C53—21no—
1216C22×C53—22no—
1217C22×C53—22no—
1218C22×C53—22no—
1219C22×C53—21no—
1220C22×C53—22no—
1221C22×C53—22no—
1222C22×C53—22no—
1223C22×C53—21no—
1224C22×C53—22no—
1225C22×C53C2611yescharacteristic
1226C2×D53—21no—
1227C2×D53—21no—
1228C2×D53—21no—
1229C2×D53—22no—
1230C2×D53—21no—
1231C2×D53—21no—
1232C2×D53—22no—
1233C2×D53—22no—
1234C2×D53—44no—
1235C2×D53C2×2−1+412yes—
1236C4×C53—22no—
1237C4×C53—21no—
1238C4×C53—22no—
1239C4×C53—24no—
1240C4×C53—21no—
1241C4×C53—21no—
1242C4×C53—22no—
1243C4×C53—24no—
1244C4×C53—22no—
1245C4×C53—21no—
1246C4×C53—22no—
1247C4×C53C2×2−1+412yes—
1248C4×C53#58512yes—
1249Dic53—22no—
1250Dic53—22no—
1251Dic53—22no—
1252Dic53—21no—
1253Dic53—24no—
1254Dic53—24no—
1255Dic53—22no—
1256Dic53—22no—
1257Dic53—22no—
1258Dic53—21no—
1259Dic53—22no—
1260Dic53—21no—
1261Dic53—21no—
1262Dic53C2×2−1+412yes—
1263Dic53#58512yes—
1264#3565—534no—
1265#3565—534no—
1266#3555—532no—
1267#3555—531no—
1268#3555—531no—
1269#3547—532no—
1270#3547—531no—
1271#3547D5311yescharacteristic, complemented
1272#3541—534no—
1273#3541—532no—
1274#3541—532no—
1275#3518—532no—
1276#3518—531no—
1277#3518—531no—
1278#3516—532no—
1279#3516—532no—
1280#3516—534no—
1281#3515—531no—
1282#3515—532no—
1283#3515—531no—
1284#3512—532no—
1285#3511—531no—
1286#3511—532no—
1287#3511—531no—
1288#3511—532no—
1289#3509—532no—
1290#3509—532no—
1291#3504—532no—
1292#3503—531no—
1293#3503—531no—
1294#3493—532no—
1295#3493—532no—
1296#3444—531no—
1297#3444—531no—
1298C2×#533—531no—
1299C2×C53—41no—
1300C2×C53—42no—
1301C2×C53—42no—
1302C2×C53—42no—
1303C2×C53C22×2−1+411yescharacteristic
1304C2×C53C2×#58511yescharacteristic
1305C2×C53C2×#58511yescharacteristic
1306D53—22no—
1307D53—42no—
1308D53—41no—
1309#563—534no—
1310#563—534no—
1311#563—534no—
1312#563—534no—
1313#562—534no—
1314#562—534no—
1315#562—534no—
1316#562C2×D5314yes—
1317Q82—532no—
1318Q82—531no—
1319Q82—531no—
1320#557—531no—
1321#557—534no—
1322#557—534no—
1323#557—532no—
1324#557—534no—
1325#557—532no—
1326#557—532no—
1327#557—531no—
1328#556—532no—
1329#556—531no—
1330#556—534no—
1331#556—534no—
1332#556—534no—
1333#556—532no—
1334#556—534no—
1335#556—534no—
1336#556—532no—
1337#556—534no—
1338#556—534no—
1339#556—532no—
1340#556—532no—
1341#556—531no—
1342#556—532no—
1343#556—532no—
1344#556—532no—
1345#556—532no—
1346#556—534no—
1347#555—534no—
1348#555—534no—
1349#555—532no—
1350#555—532no—
1351#555—532no—
1352#555—532no—
1353#555—531no—
1354#555C2×D5312yes—
1355#555C2×D5311yescharacteristic, complemented
1356#554—534no—
1357#554—531no—
1358#554—534no—
1359#554—534no—
1360#554—534no—
1361#554—534no—
1362#554—532no—
1363#554—534no—
1364#554—534no—
1365#554—531no—
1366#554—531no—
1367#554—532no—
1368#554—532no—
1369#554—532no—
1370#554C2×D5311yescharacteristic, complemented
1371#553—534no—
1372#553—534no—
1373#553—534no—
1374#553—534no—
1375#553—534no—
1376#553—534no—
1377#553—532no—
1378#553—532no—
1379#553—534no—
1380#553—534no—
1381#553—532no—
1382#553—534no—
1383#553—532no—
1384#553—532no—
1385#553C2×D5312yes—
1386#552—534no—
1387#552—532no—
1388#552—534no—
1389#552—534no—
1390#552—534no—
1391#552—534no—
1392#552—534no—
1393#552—534no—
1394#552—534no—
1395#552—532no—
1396#552—532no—
1397#552—532no—
1398#552—534no—
1399#552—534no—
1400#552—532no—
1401#552—532no—
1402#552—532no—
1403#552C2×D5312yescomplemented
1404D4×Q8—532no—
1405D4×Q8—532no—
1406D4×Q8—534no—
1407D4×Q8—532no—
1408D4×Q8—531no—
1409D4×Q8C2×D5311yescharacteristic, complemented
1410#548—532no—
1411#548—532no—
1412#548—534no—
1413#548—532no—
1414#548—534no—
1415#548—532no—
1416#548—534no—
1417#548—532no—
1418#548C2×D5312yescomplemented
1419#547—532no—
1420#547—532no—
1421#547—534no—
1422#547—532no—
1423#547—531no—
1424#547C2×D5311yescharacteristic, complemented
1425#544—532no—
1426#544—532no—
1427#544—532no—
1428#544—532no—
1429#544—534no—
1430#544—534no—
1431#544—532no—
1432#544C2×D5312yescomplemented
1433#542—534no—
1434#542—534no—
1435#542—534no—
1436#542—534no—
1437#542—534no—
1438#542—534no—
1439#542—534no—
1440#542—532no—
1441#542—534no—
1442#542—532no—
1443#542—534no—
1444#542—532no—
1445#542—532no—
1446#542—534no—
1447#542—534no—
1448#542C2×D5314yescomplemented
1449#541—534no—
1450#541—534no—
1451#541—534no—
1452#541—532no—
1453#541—534no—
1454#541—532no—
1455#541—532no—
1456#541—532no—
1457#541—532no—
1458#541—534no—
1459#541—534no—
1460#541—532no—
1461#540—532no—
1462#540C2×D5312yescomplemented
1463#539—534no—
1464#539—534no—
1465#539—534no—
1466#539—534no—
1467#538—534no—
1468#538—534no—
1469#538—534no—
1470#538—534no—
1471#537—532no—
1472#537—532no—
1473#537—532no—
1474#537—534no—
1475#537C2×D5312yes—
1476#536—532no—
1477#536—534no—
1478#536C2×D5312yes—
1479#533—531no—
1480#533—531no—
1481#533—531no—
1482#533—531no—
1483#533—532no—
1484#533—532no—
1485#533—531no—
1486#533—532no—
1487#533—532no—
1488#533—531no—
1489#533—532no—
1490#533—532no—
1491#533—532no—
1492#533—532no—
1493#533—532no—
1494#533—531no—
1495#533—532no—
1496#533—532no—
1497#533—532no—
1498#533—531no—
1499#533—531no—
1500#533C2×D5311yescharacteristic
1501#532—532no—
1502#532—531no—
1503#532—531no—
1504#532—531no—
1505#532—531no—
1506#532—532no—
1507#532—531no—
1508#532C2×D5311yescharacteristic
1509C2×C4⋊Q8—532no—
1510C2×C4⋊Q8—531no—
1511C2×C4⋊Q8—531no—
1512C2×C4⋊Q8—532no—
1513#529—532no—
1514#529—532no—
1515#529—534no—
1516#529—531no—
1517#529—532no—
1518#529—531no—
1519#529—532no—
1520#529—534no—
1521#529—532no—
1522#529—531no—
1523#529—531no—
1524#529—532no—
1525#529—532no—
1526#529—532no—
1527#529—531no—
1528#529—532no—
1529#529—531no—
1530#529—534no—
1531#529—532no—
1532#529—532no—
1533#529—532no—
1534#529—534no—
1535#529—531no—
1536#529C2×D5311yescharacteristic
1537C2×#125—532no—
1538C2×#125—532no—
1539C2×#125—532no—
1540#525—532no—
1541#525—532no—
1542#525—531no—
1543#525—531no—
1544#525—531no—
1545#525—532no—
1546#525—531no—
1547#525—532no—
1548C2×C22⋊Q8—532no—
1549C2×C22⋊Q8—532no—
1550#520—532no—
1551#520—532no—
1552#520—532no—
1553#520—534no—
1554#520—532no—
1555#520—532no—
1556#520—532no—
1557#519—532no—
1558#519—532no—
1559#519—534no—
1560C4×#41—532no—
1561C4×#41—531no—
1562C4×#41—531no—
1563C4×#41—531no—
1564C4×#41—532no—
1565C4×#41—531no—
1566C4×#41—532no—
1567C4×#41—532no—
1568C2×C4×Q8—532no—
1569C2×C4×Q8—532no—
1570C2×#117—532no—
1571C22×C42—531no—
1572C53#6283811yescharacteristic, complemented, Sylow
1573C2×#41—531no—
1574C2×#41—531no—
1575C2×#41—531no—
1576C2×#41—532no—
1577C2×#41—532no—
1578C2×#41—531no—
1579C2×#41—534no—
1580C2×#41—532no—
1581C2×#41—532no—
1582C2×#41C22×D5312yes—
1583C2×#41C22×D5312yes—
1584C22×Q8—532no—
1585C22×Q8—532no—
1586C22×Q8—534no—
1587C22×Q8—532no—
1588C22×Q8C22×D5312yes—
1589C23×C4—531no—
1590C23×C4—531no—
1591C23×C4—531no—
1592C4⋊Q8—532no—
1593C4⋊Q8—531no—
1594C4⋊Q8—532no—
1595C4⋊Q8—532no—
1596C4⋊Q8—532no—
1597C4⋊Q8—534no—
1598C4⋊Q8—534no—
1599C4⋊Q8—534no—
1600C4⋊Q8—534no—
1601C4⋊Q8—534no—
1602C4⋊Q8—532no—
1603C4⋊Q8—531no—
1604C4⋊Q8—532no—
1605C4⋊Q8—532no—
1606C4⋊Q8—532no—
1607C4⋊Q8—534no—
1608C4⋊Q8—532no—
1609C4⋊Q8—532no—
1610C4⋊Q8—534no—
1611C4⋊Q8—531no—
1612C4⋊Q8—532no—
1613C4⋊Q8—532no—
1614C4⋊Q8—534no—
1615C4⋊Q8—534no—
1616C4⋊Q8—534no—
1617C4⋊Q8—534no—
1618C4⋊Q8—531no—
1619C4⋊Q8—531no—
1620C4⋊Q8—531no—
1621C4⋊Q8—531no—
1622C4⋊Q8—532no—
1623C4⋊Q8C22×D5311yescharacteristic
1624C4⋊Q8C22×D5311yescharacteristic
1625C4⋊Q8C22×D5311yescharacteristic
1626C4⋊Q8C22×D5312yes—
1627C4⋊Q8C22×D5314yes—
1628#127—531no—
1629#127C22×D5311yescharacteristic
1630#126—532no—
1631#126—534no—
1632#126—534no—
1633#126—534no—
1634#126—534no—
1635#126—534no—
1636#126—534no—
1637#126—534no—
1638#126—532no—
1639#126—532no—
1640#126—532no—
1641#126—532no—
1642#126—532no—
1643#126—534no—
1644#126—534no—
1645#126—534no—
1646#126—534no—
1647#126—534no—
1648#126—534no—
1649#126—534no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—534no—
1659#126—534no—
1660#126—532no—
1661#126—534no—
1662#126—534no—
1663#126—534no—
1664#126C22×D5312yes—
1665#126C22×D5314yes—
1666#125—531no—
1667#125—532no—
1668#125—532no—
1669#125—534no—
1670#125—534no—
1671#125—534no—
1672#125—534no—
1673#125—534no—
1674#125—534no—
1675#125—532no—
1676#125—532no—
1677#125—531no—
1678#125—532no—
1679#125—532no—
1680#125—532no—
1681#125—534no—
1682#125—534no—
1683#125—534no—
1684#125—534no—
1685#125—532no—
1686#125—532no—
1687#125—534no—
1688#125—534no—
1689#125—534no—
1690#125—534no—
1691#125—534no—
1692#125—534no—
1693#125—534no—
1694#125—534no—
1695#125—534no—
1696#125—534no—
1697#125—534no—
1698#125—534no—
1699#125—534no—
1700#125—532no—
1701#125—532no—
1702#125—532no—
1703#125—531no—
1704#125—534no—
1705#125C22×D5312yes—
1706#125C22×D5312yes—
1707#125C22×D5311yescharacteristic
1708#125C22×D5314yes—
1709#124—532no—
1710#124—534no—
1711#124—531no—
1712#124—531no—
1713#124—532no—
1714#124—534no—
1715#124—532no—
1716#124—534no—
1717#124—534no—
1718#124—534no—
1719#124—532no—
1720#124—532no—
1721#124—534no—
1722#124—534no—
1723#124—534no—
1724#124—534no—
1725#124—534no—
1726#124—534no—
1727#124—534no—
1728#124—534no—
1729#124—534no—
1730#124—531no—
1731#124C22×D5312yes—
1732#124C22×D5311yescharacteristic
1733#124C22×D5314yes—
1734#124C22×D5314yes—
1735#124C22×D5314yes—
1736#123—532no—
1737#123—532no—
1738#123—534no—
1739#123—534no—
1740#123—534no—
1741#123—534no—
1742#123—534no—
1743#123—534no—
1744#123—534no—
1745#123—532no—
1746#123—534no—
1747#123—534no—
1748#123—532no—
1749#123—532no—
1750#123—534no—
1751#123—532no—
1752#123—532no—
1753#123—532no—
1754#123—532no—
1755#123—532no—
1756#123—532no—
1757#123—534no—
1758#123—534no—
1759#123—534no—
1760#123—534no—
1761#123—534no—
1762#123—534no—
1763#123C22×D5312yes—
1764#123C22×D5314yes—
1765#123C22×D5314yes—
1766#123C22×D5314yes—
1767#123C22×D5314yes—
1768C22⋊Q8—532no—
1769C22⋊Q8—532no—
1770C22⋊Q8—531no—
1771C22⋊Q8—532no—
1772C22⋊Q8—532no—
1773C22⋊Q8—534no—
1774C22⋊Q8—534no—
1775C22⋊Q8—534no—
1776C22⋊Q8—534no—
1777C22⋊Q8—532no—
1778C22⋊Q8—532no—
1779C22⋊Q8—531no—
1780C22⋊Q8—531no—
1781C22⋊Q8—531no—
1782C22⋊Q8—532no—
1783C22⋊Q8—532no—
1784C22⋊Q8—532no—
1785C22⋊Q8—532no—
1786C22⋊Q8—532no—
1787C22⋊Q8—532no—
1788C22⋊Q8—534no—
1789C22⋊Q8—534no—
1790C22⋊Q8—534no—
1791C22⋊Q8—534no—
1792C22⋊Q8—532no—
1793C22⋊Q8—532no—
1794C22⋊Q8—534no—
1795C22⋊Q8—532no—
1796C22⋊Q8—532no—
1797C22⋊Q8—531no—
1798C22⋊Q8—531no—
1799C22⋊Q8—532no—
1800C22⋊Q8—532no—
1801C22⋊Q8—531no—
1802C22⋊Q8—532no—
1803C22⋊Q8—532no—
1804C22⋊Q8—534no—
1805C22⋊Q8—534no—
1806C22⋊Q8—534no—
1807C22⋊Q8—534no—
1808C22⋊Q8—534no—
1809C22⋊Q8—534no—
1810C22⋊Q8—534no—
1811C22⋊Q8—534no—
1812C22⋊Q8—534no—
1813C22⋊Q8—534no—
1814C22⋊Q8—532no—
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⋊Q8C22×D5312yes—
1830C22⋊Q8C22×D5312yes—
1831C22⋊Q8C22×D5311yescharacteristic
1832C22⋊Q8C22×D5312yes—
1833C22⋊Q8C22×D5312yes—
1834C22⋊Q8C22×D5312yes—
1835C22⋊Q8C22×D5314yes—
1836C22⋊Q8C22×D5314yes—
1837C22⋊Q8C22×D5314yes—
1838C22⋊Q8C22×D5314yes—
1839#121—531no—
1840#121—532no—
1841#121—532no—
1842#121—531no—
1843#121—532no—
1844#121—531no—
1845#121—532no—
1846#121—534no—
1847#121—534no—
1848#121—532no—
1849#121—532no—
1850#121—534no—
1851#121—534no—
1852#121—534no—
1853#121—534no—
1854#121—534no—
1855#121—534no—
1856#121—534no—
1857#121—534no—
1858#121—534no—
1859#121—531no—
1860#121—532no—
1861#121—534no—
1862#121—531no—
1863#121—532no—
1864#121—532no—
1865#121—532no—
1866#121—534no—
1867#121—534no—
1868#121—534no—
1869#121C22×D5311yescharacteristic
1870#121C22×D5311yescharacteristic
1871#121C22×D5312yes—
1872#121C22×D5311yescharacteristic
1873#121C22×D5312yes—
1874#121C22×D5312yes—
1875#121C22×D5312yes—
1876#121C22×D5314yes—
1877#121C22×D5314yes—
1878#121C22×D5314yes—
1879#121C22×D5314yes—
1880#120—532no—
1881#120—532no—
1882#120—532no—
1883#120—532no—
1884C4×Q8—532no—
1885C4×Q8—532no—
1886C4×Q8—531no—
1887C4×Q8—532no—
1888C4×Q8—532no—
1889C4×Q8—534no—
1890C4×Q8—532no—
1891C4×Q8—532no—
1892C4×Q8—534no—
1893C4×Q8—532no—
1894C4×Q8—532no—
1895C4×Q8—534no—
1896C4×Q8—534no—
1897C4×Q8—532no—
1898C4×Q8—532no—
1899C4×Q8—531no—
1900C4×Q8—532no—
1901C4×Q8—532no—
1902C4×Q8—532no—
1903C4×Q8—531no—
1904C4×Q8—531no—
1905C4×Q8—534no—
1906C4×Q8—534no—
1907C4×Q8—532no—
1908C4×Q8—532no—
1909C4×Q8—534no—
1910C4×Q8—532no—
1911C4×Q8—532no—
1912C4×Q8—534no—
1913C4×Q8—532no—
1914C4×Q8—534no—
1915C4×Q8—534no—
1916C4×Q8—532no—
1917C4×Q8—532no—
1918C4×Q8—534no—
1919C4×Q8—532no—
1920C4×Q8—531no—
1921C4×Q8—531no—
1922C4×Q8—532no—
1923C4×Q8—531no—
1924C4×Q8—534no—
1925C4×Q8—534no—
1926C4×Q8—534no—
1927C4×Q8—534no—
1928C4×Q8—534no—
1929C4×Q8—532no—
1930C4×Q8—532no—
1931C4×Q8—534no—
1932C4×Q8C22×D5312yes—
1933C4×Q8C22×D5312yes—
1934C4×Q8C22×D5311yescharacteristic
1935C4×D4—531no—
1936C4×D4—532no—
1937C4×D4—532no—
1938C4×D4—532no—
1939C4×D4—532no—
1940C4×D4—532no—
1941C4×D4—531no—
1942C4×D4—532no—
1943C4×D4—531no—
1944C4×D4—532no—
1945C4×D4—532no—
1946C4×D4—534no—
1947C4×D4—534no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—534no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—532no—
1954C4×D4—532no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—532no—
1958C4×D4—532no—
1959C4×D4—534no—
1960C4×D4—534no—
1961C4×D4—534no—
1962C4×D4—534no—
1963C4×D4—534no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—534no—
1967C4×D4—531no—
1968C4×D4—532no—
1969C4×D4—532no—
1970C4×D4—532no—
1971C4×D4—534no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—532no—
1975C4×D4—532no—
1976C4×D4—532no—
1977C4×D4—532no—
1978C4×D4—532no—
1979C4×D4—532no—
1980C4×D4—532no—
1981C4×D4—532no—
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—531no—
1991C4×D4—534no—
1992C4×D4C22×D5312yes—
1993C4×D4C22×D5311yescharacteristic
1994C4×D4C22×D5312yes—
1995C4×D4C22×D5311yescharacteristic
1996C4×D4C22×D5311yescharacteristic
1997C4×D4C22×D5312yes—
1998C4×D4C22×D5312yes—
1999C4×D4C22×D5314yes—
2000#117—532no—
2001#117—532no—
2002#117—532no—
2003#117—532no—
2004#117—534no—
2005#117—534no—
2006#117—534no—
2007#117—532no—
2008#117—534no—
2009#117—532no—
2010#117—532no—
2011#117—532no—
2012#117—531no—
2013#117—531no—
2014#117—532no—
2015#117—531no—
2016#117—531no—
2017#117—532no—
2018#117—532no—
2019#117—534no—
2020#117—532no—
2021#117—532no—
2022#117—534no—
2023#117—532no—
2024#117—532no—
2025#117—532no—
2026#117—532no—
2027#117—532no—
2028#117—532no—
2029#117—532no—
2030#117—534no—
2031#117—534no—
2032#117—534no—
2033#117—534no—
2034#117—534no—
2035#117—534no—
2036#117—534no—
2037#117—534no—
2038#117—534no—
2039#117—532no—
2040#117—532no—
2041#117—534no—
2042#117C22×D5312yes—
2043#117C22×D5312yes—
2044#117C22×D5314yes—
2045#117C22×D5312yes—
2046#117C22×D5312yes—
2047C2×C4⋊C4—534no—
2048C2×C4⋊C4—534no—
2049C2×C4⋊C4—532no—
2050C2×C4⋊C4—534no—
2051C2×C4⋊C4—532no—
2052C2×C4⋊C4—534no—
2053C2×C4⋊C4—534no—
2054C2×C4⋊C4—532no—
2055C2×C4⋊C4—532no—
2056C2×C4⋊C4—534no—
2057C2×C4⋊C4—534no—
2058C2×C4⋊C4—532no—
2059C2×C4⋊C4—532no—
2060C2×C4⋊C4—534no—
2061C2×C4⋊C4—534no—
2062C2×C4⋊C4—532no—
2063C2×C4⋊C4—532no—
2064C2×C4⋊C4C22×D5312yes—
2065C2×C4⋊C4C22×D5312yes—
2066C2×C22⋊C4—534no—
2067C2×C42—532no—
2068C2×C42—532no—
2069C2×C42—532no—
2070C2×C42—531no—
2071C2×C42—531no—
2072C2×C42—531no—
2073C2×C42—534no—
2074C2×C42—531no—
2075C2×C42—531no—
2076C2×C42—532no—
2077C2×C42—531no—
2078C2×C42—531no—
2079C2×C42—531no—
2080C2×C42—531no—
2081C2×C42—531no—
2082C2×C42—531no—
2083C2×C42C22×D5311yescharacteristic
2084C24—531no—
2085#41—44no—
2086#41—44no—
2087#41—1068no—
2088#41—1064no—
2089#41—1064no—
2090#41—2124no—
2091#41—2124no—
2092#41—2122no—
2093#41—2124no—
2094#41—2128no—
2095#41—2122no—
2096C2×Q8—44no—
2097C2×Q8—532no—
2098C2×Q8—531no—
2099C2×Q8—531no—
2100C2×Q8—532no—
2101C2×Q8—534no—
2102C2×Q8—532no—
2103C2×Q8—531no—
2104C2×Q8—534no—
2105C2×Q8—532no—
2106C2×Q8—532no—
2107C2×Q8—534no—
2108C2×Q8—534no—
2109C2×Q8—534no—
2110C2×Q8—2124no—
2111C2×Q8—2128no—
2112C2×Q8—2124no—
2113C2×Q8—2124no—
2114C2×Q8C23×D5312yes—
2115C2×Q8C23×D5311yescharacteristic
2116C2×Q8C23×D5312yes—
2117C2×Q8C23×D5314yes—
2118C2×Q8C23×D5312yes—
2119C2×D4—532no—
2120C2×D4—532no—
2121C2×D4—532no—
2122C2×D4—532no—
2123C2×D4—532no—
2124C2×D4—532no—
2125C2×D4—532no—
2126C2×D4—532no—
2127C2×D4—532no—
2128C2×D4—534no—
2129C2×D4—534no—
2130C2×D4—532no—
2131C2×D4—531no—
2132C2×D4—532no—
2133C2×D4C23×D5311yescharacteristic
2134C2×D4C23×D5311yescharacteristic
2135C2×D4C23×D5311yescharacteristic
2136C2×D4C23×D5312yes—
2137C2×D4C23×D5312yes—
2138C2×D4C23×D5314yes—
2139C2×D4C23×D5312yes—
2140C2×D4C23×D5312yes—
2141C2×D4C23×D5314yes—
2142C2×D4C23×D5312yes—
2143C22×C4—531no—
2144C22×C4—531no—
2145C22×C4—531no—
2146C22×C4—532no—
2147C22×C4—532no—
2148C22×C4—532no—
2149C22×C4—532no—
2150C22×C4—531no—
2151C22×C4—532no—
2152C22×C4—532no—
2153C22×C4—534no—
2154C22×C4—534no—
2155C22×C4—534no—
2156C22×C4—531no—
2157C22×C4—531no—
2158C22×C4—531no—
2159C22×C4—531no—
2160C22×C4—531no—
2161C22×C4—531no—
2162C22×C4—531no—
2163C22×C4—532no—
2164C22×C4—531no—
2165C22×C4—531no—
2166C22×C4—531no—
2167C22×C4—531no—
2168C22×C4—534no—
2169C22×C4—534no—
2170C22×C4—532no—
2171C22×C4—532no—
2172C22×C4—534no—
2173C22×C4—534no—
2174C22×C4—1064no—
2175C22×C4—2122no—
2176C22×C4—2122no—
2177C22×C4C23×D5311yescharacteristic
2178C22×C4C23×D5311yescharacteristic
2179C22×C4C23×D5312yes—
2180C22×C4C23×D5312yes—
2181C22×C4C23×D5312yes—
2182C22×C4C23×D5311yescharacteristic
2183C22×C4C23×D5314yes—
2184C22×C4C23×D5314yes—
2185C22×C4C23×D5314yes—
2186C4⋊C4—531no—
2187C4⋊C4—532no—
2188C4⋊C4—532no—
2189C4⋊C4—534no—
2190C4⋊C4—532no—
2191C4⋊C4—532no—
2192C4⋊C4—534no—
2193C4⋊C4—532no—
2194C4⋊C4—532no—
2195C4⋊C4—534no—
2196C4⋊C4—532no—
2197C4⋊C4—531no—
2198C4⋊C4—532no—
2199C4⋊C4—534no—
2200C4⋊C4—534no—
2201C4⋊C4—534no—
2202C4⋊C4—534no—
2203C4⋊C4—534no—
2204C4⋊C4—534no—
2205C4⋊C4—534no—
2206C4⋊C4—534no—
2207C4⋊C4—534no—
2208C4⋊C4—534no—
2209C4⋊C4—534no—
2210C4⋊C4—534no—
2211C4⋊C4—534no—
2212C4⋊C4—534no—
2213C4⋊C4—534no—
2214C4⋊C4—534no—
2215C4⋊C4—534no—
2216C4⋊C4—534no—
2217C4⋊C4—534no—
2218C4⋊C4—534no—
2219C4⋊C4—532no—
2220C4⋊C4—531no—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—531no—
2225C4⋊C4—532no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—532no—
2229C4⋊C4—532no—
2230C4⋊C4—532no—
2231C4⋊C4—532no—
2232C4⋊C4—532no—
2233C4⋊C4—532no—
2234C4⋊C4—532no—
2235C4⋊C4—532no—
2236C4⋊C4—532no—
2237C4⋊C4—532no—
2238C4⋊C4—532no—
2239C4⋊C4—532no—
2240C4⋊C4—532no—
2241C4⋊C4—532no—
2242C4⋊C4—532no—
2243C4⋊C4—532no—
2244C4⋊C4—534no—
2245C4⋊C4—534no—
2246C4⋊C4—534no—
2247C4⋊C4—534no—
2248C4⋊C4—534no—
2249C4⋊C4—534no—
2250C4⋊C4—534no—
2251C4⋊C4C23×D5311yescharacteristic
2252C4⋊C4C23×D5312yes—
2253C4⋊C4C23×D5312yes—
2254C4⋊C4C23×D5314yes—
2255C4⋊C4C23×D5312yes—
2256C4⋊C4C23×D5314yes—
2257C4⋊C4C23×D5314yes—
2258C4⋊C4C23×D5314yes—
2259C4⋊C4C23×D5312yes—
2260C4⋊C4C23×D5311yescharacteristic
2261C4⋊C4C23×D5314yes—
2262C4⋊C4C23×D5311yescharacteristic
2263C4⋊C4C23×D5311yescharacteristic
2264C4⋊C4C23×D5312yes—
2265C4⋊C4C23×D5312yes—
2266C4⋊C4C23×D5312yes—
2267C4⋊C4C23×D5312yes—
2268C4⋊C4C23×D5312yes—
2269C4⋊C4C23×D5314yes—
2270C22⋊C4—534no—
2271C22⋊C4—532no—
2272C22⋊C4—532no—
2273C22⋊C4—532no—
2274C22⋊C4—532no—
2275C22⋊C4—534no—
2276C22⋊C4—534no—
2277C22⋊C4—532no—
2278C22⋊C4—532no—
2279C22⋊C4—532no—
2280C22⋊C4—532no—
2281C22⋊C4—532no—
2282C22⋊C4—532no—
2283C22⋊C4—534no—
2284C22⋊C4—534no—
2285C22⋊C4—534no—
2286C22⋊C4—534no—
2287C22⋊C4—534no—
2288C22⋊C4—532no—
2289C22⋊C4—532no—
2290C22⋊C4—532no—
2291C22⋊C4—534no—
2292C22⋊C4—534no—
2293C22⋊C4—532no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—532no—
2297C22⋊C4—532no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—532no—
2301C22⋊C4—532no—
2302C22⋊C4—532no—
2303C22⋊C4—532no—
2304C22⋊C4—532no—
2305C22⋊C4—534no—
2306C22⋊C4—534no—
2307C22⋊C4—534no—
2308C22⋊C4—534no—
2309C22⋊C4—532no—
2310C22⋊C4—532no—
2311C22⋊C4C23×D5314yes—
2312C22⋊C4C23×D5312yes—
2313C22⋊C4C23×D5312yes—
2314C22⋊C4C23×D5314yes—
2315C22⋊C4C23×D5314yes—
2316C22⋊C4C23×D5312yes—
2317C22⋊C4C23×D5312yes—
2318C22⋊C4C23×D5314yes—
2319C22⋊C4C23×D5312yes—
2320C22⋊C4C23×D5314yes—
2321C22⋊C4C23×D5312yes—
2322C22⋊C4C23×D5312yes—
2323C22⋊C4C23×D5312yes—
2324C22⋊C4C23×D5312yes—
2325C22⋊C4C23×D5314yes—
2326C42—531no—
2327C42—531no—
2328C42—531no—
2329C42—531no—
2330C42—531no—
2331C42—531no—
2332C42—531no—
2333C42—531no—
2334C42—531no—
2335C42—531no—
2336C42—531no—
2337C42—531no—
2338C42—532no—
2339C42—532no—
2340C42—532no—
2341C42—532no—
2342C42—534no—
2343C42—534no—
2344C42—534no—
2345C42—532no—
2346C42—532no—
2347C42—532no—
2348C42—532no—
2349C42—532no—
2350C42—532no—
2351C42—532no—
2352C42—534no—
2353C42—534no—
2354C42—534no—
2355C42—534no—
2356C42—534no—
2357C42—534no—
2358C42—534no—
2359C42C23×D5311yescharacteristic
2360C42C23×D5311yescharacteristic
2361C42C23×D5311yescharacteristic
2362C42C23×D5311yescharacteristic
2363C42C23×D5314yes—
2364C42C23×D5312yes—
2365C42C23×D5314yes—
2366C23—531no—
2367C23—531no—
2368C23—532no—
2369C23—1062no—
2370C23—2121no—
2371C23—2121no—
2372C23C24×D5311yescharacteristic
2373C23C24×D5312yes—
2374C23C24×D5312yes—
2375C23C24×D5312yes—
2376Q8—22no—
2377Q8—24no—
2378Q8—44no—
2379Q8—42no—
2380Q8—42no—
2381Q8—1064no—
2382Q8—1068no—
2383Q8—1064no—
2384Q8—1062no—
2385Q8—1062no—
2386Q8—1062no—
2387Q8—1064no—
2388Q8—2124no—
2389Q8—2122no—
2390Q8—2124no—
2391Q8—2124no—
2392Q8—2124no—
2393Q8—2122no—
2394D4—22no—
2395D4—22no—
2396D4—22no—
2397D4—42no—
2398D4—42no—
2399D4—42no—
2400D4—44no—
2401D4—42no—
2402D4—42no—
2403D4—44no—
2404D4—1064no—
2405D4—1064no—
2406D4—1064no—
2407D4—1064no—
2408D4—1064no—
2409D4—1064no—
2410D4—1062no—
2411D4—2122no—
2412D4—2122no—
2413D4—2122no—
2414D4—2122no—
2415D4—2124no—
2416D4—2124no—
2417D4—2122no—
2418C2×C4—22no—
2419C2×C4—24no—
2420C2×C4—22no—
2421C2×C4—24no—
2422C2×C4—24no—
2423C2×C4—41no—
2424C2×C4—44no—
2425C2×C4—44no—
2426C2×C4—44no—
2427C2×C4—531no—
2428C2×C4—531no—
2429C2×C4—534no—
2430C2×C4—531no—
2431C2×C4—531no—
2432C2×C4—531no—
2433C2×C4—532no—
2434C2×C4—532no—
2435C2×C4—532no—
2436C2×C4—532no—
2437C2×C4—531no—
2438C2×C4—534no—
2439C2×C4—532no—
2440C2×C4—534no—
2441C2×C4—532no—
2442C2×C4—532no—
2443C2×C4—1062no—
2444C2×C4—1062no—
2445C2×C4—1062no—
2446C2×C4—1062no—
2447C2×C4—1062no—
2448C2×C4—1062no—
2449C2×C4—1064no—
2450C2×C4—1064no—
2451C2×C4—1064no—
2452C2×C4—1064no—
2453C2×C4—1062no—
2454C2×C4—1064no—
2455C2×C4—1062no—
2456C2×C4—1062no—
2457C2×C4—2121no—
2458C2×C4—2121no—
2459C2×C4—2121no—
2460C2×C4—2121no—
2461C2×C4—2124no—
2462C2×C4—2124no—
2463C2×C4—2122no—
2464C2×C4—2124no—
2465C2×C4—2124no—
2466C2×C4—2122no—
2467C2×C4—2121no—
2468C2×C4—2124no—
2469C2×C4—2124no—
2470C2×C4—2122no—
2471C2×C4—2124no—
2472C2×C4—2122no—
2473C2×C4C24×D5311yescharacteristic
2474C2×C4C24×D5312yes—
2475C2×C4C24×D5312yes—
2476C2×C4C24×D5314yes—
2477C2×C4C24×D5312yes—
2478C2×C4C24×D5312yes—
2479C2×C4C24×D5311yescharacteristic
2480C2×C4C24×D5314yes—
2481C2×C4C24×D5311yescharacteristic
2482C2×C4C24×D5311yescharacteristic
2483C2×C4C24×D5312yes—
2484C2×C4C24×D5311yescharacteristic
2485C2×C4C24×D5311yescharacteristic
2486C22—21no—
2487C22—22no—
2488C22—22no—
2489C22—22no—
2490C22—22no—
2491C22—21no—
2492C22—22no—
2493C22—22no—
2494C22—22no—
2495C22—21no—
2496C22—22no—
2497C22—22no—
2498C22—532no—
2499C22—1061no—
2500C22—1061no—
2501C22—1061no—
2502C22—1062no—
2503C22—1061no—
2504C22—1062no—
2505C22—1061no—
2506C22—1062no—
2507C22—2124no—
2508C22C25×D5311yescharacteristic
2509C4—21no—
2510C4—22no—
2511C4—22no—
2512C4—21no—
2513C4—21no—
2514C4—24no—
2515C4—22no—
2516C4—21no—
2517C4—22no—
2518C4—24no—
2519C4—22no—
2520C4—532no—
2521C4—532no—
2522C4—1061no—
2523C4—1062no—
2524C4—1062no—
2525C4—1062no—
2526C4—1061no—
2527C4—1062no—
2528C4—1062no—
2529C4—1064no—
2530C4—1062no—
2531C4—1061no—
2532C4—1061no—
2533C4—1064no—
2534C4—1062no—
2535C42−1+4×D5312yes—
2536C4#1681145812yes—
2537C2—41no—
2538C2—42no—
2539C2—42no—
2540C2—42no—
2541C2—1062no—
2542C2—2121no—
2543C2—2122no—
2544C2C2×2−1+4×D5311yescharacteristic
2545C2#585×D5311yescharacteristic
2546C2C2×#1681145811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3547C2
hypercenter#3547D53
hypocenterC53#62838
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3547

Complements

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

NH ≅ G/Ntype
1. #20289349C2semidirect
2. #20289347C2semidirect
3. #20289205C2semidirect
4. #20289200C2semidirect
5. #20289197C2semidirect
6. #20289104C2semidirect
7. #20289093C2semidirect
8. #20289010C2semidirect
9. #20288997C2semidirect
10. #20288996C2semidirect
11. #20288731C2semidirect
12. #20288731C2semidirect
13. #20288727C2semidirect
14. #20288707C2semidirect
15. #20288702C2semidirect
16. #20288701C2semidirect
17. #20288696C2semidirect
18. #20288686C2semidirect
19. #20288684C2semidirect
20. #20288634C2semidirect
21. #20288625C2semidirect
22. #20288624C2semidirect
23. #20288621C2semidirect
24. #20288615C2semidirect
25. #20288600C2semidirect
26. #20288593C2semidirect
27. #20288538C2semidirect
28. #20288529C2semidirect
29. #20288526C2semidirect
30. #20288431C2semidirect
31. #20288426C2semidirect
32. #20288010C2semidirect
33. #20288009C2semidirect
34. #533×D53C2semidirect
35. C53×#3547C2semidirect
43. Q8×Dic106C22semidirect
44. #16811353C22semidirect
45. #16811353C22semidirect
46. #16811351C22semidirect
47. #16811350C22semidirect
48. #16811350C22semidirect
49. #16811350C22semidirect
50. #16811349C22semidirect
51. #16811348C22semidirect
52. #16811348C22semidirect
53. #16811348C22semidirect
55. #16811347C22semidirect
56. #16811345C22semidirect
58. #16811344C22semidirect
59. #16811344C22semidirect
61. #16811343C22semidirect
64. #16811342C22semidirect
65. #16811342C22semidirect
66. #16811342C22semidirect
70. #16811341C22semidirect
71. #16811341C22semidirect
74. #16811338C22semidirect
78. #16811337C22semidirect
81. #16811334C22semidirect
82. #16811332C22semidirect
85. #16811331C22semidirect
86. #16811330C22semidirect
87. #16811330C22semidirect
90. #16811328C22semidirect
93. #16811327C22semidirect
106. #16811316C22semidirect
107. #16811316C22semidirect
110. #16811313C22semidirect
111. #16811313C22semidirect
116. #16811310C22semidirect
117. #16811310C22semidirect
118. #16811310C22semidirect
119. #16811310C22semidirect
120. #16811309C22semidirect
123. #16811307C22semidirect
125. D4×Dic106C22semidirect
126. D4×Dic106C22semidirect
132. #16811282C22semidirect
137. #16811279C22semidirect
138. #16811278C22semidirect
141. #16811273C22semidirect
144. #16811253C22semidirect
145. #16811252C22semidirect
146. #16811252C22semidirect
147. #16811251C22semidirect
149. #16811250C22semidirect
152. #16811246C22semidirect
154. #16811241C22semidirect
155. #16811241C22semidirect
158. #16811240C22semidirect
159. #16811240C22semidirect
162. #16811237C22semidirect
163. #16811237C22semidirect
164. #16811237C22semidirect
165. #16811236C22semidirect
166. #16811235C22semidirect
169. #16811233C22semidirect
170. #16811233C22semidirect
171. #16811233C22semidirect
173. #16811232C22semidirect
174. #16811231C22semidirect
175. #16811230C22semidirect
176. #16811230C22semidirect
177. #16811227C22semidirect
200. #16811178C22semidirect
205. #16811176C22semidirect
206. #16811176C22semidirect
210. #16811175C22semidirect
211. #16811175C22semidirect
212. #16811175C22semidirect
217. #16811169C22semidirect
219. #16811168C22semidirect
220. C2×#13133216C22semidirect
221. C2×#13133215C22semidirect
233. #16811155C22semidirect
234. #16811155C22semidirect
238. #16811154C22semidirect
239. #16811154C22semidirect
247. C2×#13133208C22semidirect
249. #125×D53C22semidirect
260. #16811106C22semidirect
262. #16811104C22semidirect
266. #16811102C22semidirect
267. #16811101C22semidirect
268. #16811100C22semidirect
269. #16811100C22semidirect
284. C53×#555C22semidirect
285. C53×#554C22semidirect
287. C53×#552C22semidirect
288. D4×Q8×C53C22semidirect
289. C53×#548C22semidirect
290. C53×#547C22semidirect
291. C53×#544C22semidirect
292. C53×#542C22semidirect
293. C53×#540C22semidirect
1271. #3547D53semidirect
1355. #555C2×D53semidirect
1370. #554C2×D53semidirect
1403. #552C2×D53semidirect
1409. D4×Q8C2×D53semidirect
1418. #548C2×D53semidirect
1424. #547C2×D53semidirect
1432. #544C2×D53semidirect
1448. #542C2×D53semidirect
1462. #540C2×D53semidirect
1572. C53#62838semidirect

Maximal subgroups

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

subgroupindex
#202893492
#202893472
#202892052
#202892002
#202891972
#202891042
#202890932
#202890102
#202889972
#202889962
#202887312
#202887272
#202887072
#202887022
#202887012
#202886962
#202886862
#202886842
#202886342
#202886252
#202886242
#202886212
#202886152
#202886002
#202885932
#202885382
#202885292
#202885262
#202884312
#202884262
#202880102
#202880092
#533×D532
C53×#35472
#6283853