Finite Group Databasebeta

← #28292859

Subgroups — #28292859

Order 13568.

6626 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289382C214yesmaximal, complemented
2#20289370C214yesmaximal, complemented
3#20289350C212yesmaximal, complemented
4#20289293C212yesmaximal, complemented
5#20289206C211yesmaximal, characteristic, complemented
6#20289182C211yesmaximal, characteristic, complemented
7#20289107C211yesmaximal, characteristic, complemented
8#20289083C211yesmaximal, characteristic, complemented
9#20289036C212yesmaximal, complemented
10#20289002C212yesmaximal, complemented
11#20288874C214yesmaximal, complemented
12#20288823C212yesmaximal, complemented
13#20288818C212yesmaximal, complemented
14#20288809C211yesmaximal, characteristic, complemented
15#20288792C211yesmaximal, characteristic, complemented
16#20288772C212yesmaximal, complemented
17#20288771C212yesmaximal, complemented
18#20288768C214yesmaximal, complemented
19#20288764C211yesmaximal, characteristic, complemented
20#20288731C211yesmaximal, characteristic, complemented
21#20288716C211yesmaximal, characteristic, complemented
22#20288696C211yesmaximal, characteristic, complemented
23#20288686C212yesmaximal, complemented
24#20288667C211yesmaximal, characteristic, complemented
25#20288667C212yesmaximal, complemented
26#20288634C212yesmaximal, complemented
27#20288606C212yesmaximal, complemented
28#20288558C212yesmaximal, complemented
29#20288549C212yesmaximal, complemented
30#20288469C212yesmaximal, complemented
31#20288444C212yesmaximal, complemented
32#20288010C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34C2×#16811155C211yesmaximal, characteristic, complemented
35C53×#3519C211yesmaximal, characteristic, complemented
36#16811375C2214yescomplemented
37#16811374C2214yescomplemented
38#16811370C2214yescomplemented
39#16811368C2214yescomplemented
40#16811368C2214yescomplemented
41#16811367C2214yescomplemented
42#16811362C2214yescomplemented
43#16811362C2214yescomplemented
44#16811359C2211yescharacteristic, complemented
45#16811359C2212yescomplemented
46#16811357C2214yescomplemented
47#16811356C2212yescomplemented
48#16811356C2214yescomplemented
49#16811356C2214yescomplemented
50#16811353C2211yescharacteristic, complemented
51#16811352C2211yescharacteristic, complemented
52#16811351C2211yescharacteristic, complemented
53#16811350C2212yescomplemented
54#16811350C2212yescomplemented
55#16811344C2212yescomplemented
56#16811343C2214yescomplemented
57#16811343C2212yescomplemented
58#16811343C2211yescharacteristic, complemented
59#16811343C2214yescomplemented
60#16811343C2211yescharacteristic, complemented
61#16811342C2214yescomplemented
62#16811342C2212yescomplemented
63#16811341C2212yescomplemented
64#16811341C2212yescomplemented
65#16811337C2212yescomplemented
66#16811337C2212yescomplemented
67#16811337C2214yescomplemented
68#16811337C2214yescomplemented
69#16811336C2212yescomplemented
70#16811334C2211yescharacteristic, complemented
71#16811332C2212yescomplemented
72#16811332C2212yescomplemented
73#16811330C2214yescomplemented
74#16811328C2212yescomplemented
75#16811325C2214yescomplemented
76#16811325C2214yescomplemented
77#16811325C2212yescomplemented
78#16811325C2212yescomplemented
79#16811323C2212yes—
80#16811322C2214yescomplemented
81#16811320C2214yescomplemented
82#16811320C2212yescomplemented
83#16811320C2214yescomplemented
84#16811318C2214yescomplemented
85#16811318C2214yescomplemented
86#16811316C2214yescomplemented
87#16811316C2214yescomplemented
88#16811316C2214yescomplemented
89#16811313C2214yescomplemented
90#16811313C2212yescomplemented
91#16811313C2212yescomplemented
92#16811313C2214yescomplemented
93#16811312C2212yescomplemented
94#16811311C2212yescomplemented
95#16811310C2214yescomplemented
96#16811310C2214yescomplemented
97#16811310C2214yescomplemented
98#16811310C2214yescomplemented
99#16811310C2214yescomplemented
100#16811309C2214yescomplemented
101#16811308C2212yescomplemented
102#16811308C2212yescomplemented
103#16811307C2214yescomplemented
104#16811304C2214yescomplemented
105#16811304C2214yescomplemented
106#16811304C2214yescomplemented
107#16811304C2214yescomplemented
108#16811299C2214yescomplemented
109#16811299C2214yescomplemented
110#16811299C2214yescomplemented
111#16811299C2214yescomplemented
112#16811299C2214yescomplemented
113#16811299C2214yescomplemented
114#16811299C2214yescomplemented
115#16811293C2212yescomplemented
116#16811293C2211yescharacteristic, complemented
117#16811292C2212yescomplemented
118#16811291C2212yescomplemented
119D4×Dic106C2211yescharacteristic, complemented
120D4×Dic106C2212yescomplemented
121D4×Dic106C2211yescharacteristic, complemented
122#16811282C2212yescomplemented
123#16811279C2212yescomplemented
124#16811279C2212yescomplemented
125#16811279C2212yescomplemented
126#16811279C2212yescomplemented
127#16811279C2212yescomplemented
128#16811278C2211yescharacteristic, complemented
129#16811277C2212yescomplemented
130#16811277C2211yescharacteristic, complemented
131#16811275C2212yescomplemented
132#16811273C2212yescomplemented
133#16811273C2214yescomplemented
134#16811272C2214yescomplemented
135#16811272C2212yescomplemented
136#16811267C2212yes—
137#16811267C2212yes—
138#16811267C2214yescomplemented
139#16811267C2212yescomplemented
140#16811267C2212yescomplemented
141#16811267C2212yescomplemented
142#16811267C2214yescomplemented
143#16811254C2212yescomplemented
144#16811251C2212yescomplemented
145#16811242C2214yescomplemented
146#16811241C2214yescomplemented
147#16811240C2212yescomplemented
148#16811240C2212yescomplemented
149#16811240C2212yescomplemented
150#16811240C2214yescomplemented
151#16811240C2212yescomplemented
152#16811239C2214yescomplemented
153#16811238C2212yes—
154#16811238C2212yescomplemented
155#16811238C2212yescomplemented
156#16811238C2212yescomplemented
157#16811237C2214yescomplemented
158#16811237C2214yescomplemented
159#16811236C2212yescomplemented
160#16811235C2212yescomplemented
161#16811233C2214yescomplemented
162#16811233C2212yescomplemented
163#16811233C2212yescomplemented
164#16811230C2214yescomplemented
165#16811230C2214yescomplemented
166#16811227C2212yescomplemented
167#16811226C2212yescomplemented
168#16811226C2212yescomplemented
169#16811226C2214yescomplemented
170#16811223C2214yescomplemented
171#16811223C2214yescomplemented
172#16811219C2214yescomplemented
173#16811218C2214yescomplemented
174#16811218C2214yescomplemented
175#16811217C2214yescomplemented
176#16811216C2214yescomplemented
177#16811215C2214yescomplemented
178#16811215C2214yescomplemented
179#16811211C2214yescomplemented
180#16811210C2214yescomplemented
181#16811208C2214yescomplemented
182#16811208C2214yescomplemented
183#16811208C2214yescomplemented
184#16811208C2214yescomplemented
185#16811208C2214yescomplemented
186#16811206C2214yescomplemented
187#16811202C2212yescomplemented
188#16811202C2212yescomplemented
189#16811199C2212yescomplemented
190#16811194C2212yescomplemented
191#16811190C2212yes—
192#16811190C2212yescomplemented
193#16811188C2214yescomplemented
194#16811182C2214yescomplemented
195#16811180C2211yescharacteristic, complemented
196#16811179C2211yescharacteristic, complemented
197#16811178C2211yescharacteristic, complemented
198#16811178C2211yescharacteristic, complemented
199#16811177C2211yescharacteristic, complemented
200#16811176C2212yescomplemented
201#16811175C2211yescharacteristic, complemented
202#16811175C2212yescomplemented
203#16811172C2211yescharacteristic, complemented
204#16811171C2211yescharacteristic, complemented
205#16811171C2211yescharacteristic, complemented
206#16811171C2212yescomplemented
207#16811170C2211yescharacteristic, complemented
208#16811168C2211yescharacteristic
209#16811168C2212yescomplemented
210#16811158C2211yescharacteristic, complemented
211#16811157C2211yescharacteristic, complemented
212#16811156C2212yescomplemented
213#16811156C2212yescomplemented
214#16811155C2211yescharacteristic
215#16811155C2211yescharacteristic
216#16811155C2211yescharacteristic
217#16811155C2211yescharacteristic
218#16811155C2212yescomplemented
219#16811155C2212yescomplemented
220#16811155C2212yescomplemented
221#16811155C2212yescomplemented
222#16811155C2211yescharacteristic, complemented
223#16811155C2211yescharacteristic, complemented
224#16811155C2212yescomplemented
225#16811155C2212yescomplemented
226#16811155C2212yescomplemented
227#16811155C2212yescomplemented
228#16811155C2211yescharacteristic, complemented
229#16811155C2211yescharacteristic, complemented
230#16811154C2212yes—
231#16811154C2214yescomplemented
232#16811154C2212yescomplemented
233#16811154C2212yescomplemented
234#16811154C2212yescomplemented
235#16811154C2212yescomplemented
236#16811154C2212yescomplemented
237#16811153C2214yescomplemented
238#16811152C2211yescharacteristic, complemented
239#16811152C2212yescomplemented
240#16811152C2212yescomplemented
241#16811151C2212yescomplemented
242#16811150C2212yescomplemented
243#16811150C2214yescomplemented
244C2×#13133210C2212yescomplemented
245C2×#13133210C2214yescomplemented
246C2×#13133208C2211yescharacteristic, complemented
247#125×D53C2212yescomplemented
248C2×#13133204C2211yescharacteristic
249C2×#13133204C2212yescomplemented
250#16811136C2211yescharacteristic, complemented
251#16811134C2212yescomplemented
252#16811133C2211yescharacteristic
253#16811133C2212yescomplemented
254#16811133C2212yescomplemented
255#16811132C2212yescomplemented
256#16811131C2212yescomplemented
257#16811130C2212yescomplemented
258C2×#13133199C2212yescomplemented
259C2×#13133197C2211yescharacteristic, complemented
260C2×#13133196C2212yescomplemented
261C2×#13133188C2211yescharacteristic
262#16811106C2212yescomplemented
263#16811104C2212yescomplemented
264#16811102C2214yescomplemented
265#16811102C2212yescomplemented
266#16811102C2212yescomplemented
267#16811100C2212yescomplemented
268#16811100C2212yescomplemented
269#16811098C2214yescomplemented
270#16811098C2212yescomplemented
271#41×Dic53C2212yescomplemented
272C4×#11719949C2211yescharacteristic, complemented
273#16811091C2212yescomplemented
274C4×#11719947C2212yescomplemented
275C4×#11719947C2212yescomplemented
276C4×#11719947C2212yescomplemented
277C4×#11719947C2211yescharacteristic, complemented
278C2×C4×Dic106C2211yescharacteristic, complemented
279C2×C4×C22⋊D53C2212yescomplemented
280C2×#13133176C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#555C2211yescharacteristic, complemented
283C53×#554C2211yescharacteristic, complemented
284C53×#553C2212yes—
285C53×#553C2212yescomplemented
286C53×#550C2211yescharacteristic, complemented
287C53×#546C2214yes—
288C53×#546C2212yescomplemented
289D42×C53C2212yes—
290D42×C53C2211yescharacteristic, complemented
291C53×#540C2212yescomplemented
292C53×#538C2214yescomplemented
293C53×#532C2211yescharacteristic
294C53×#529C2211yescharacteristic
295C53×#525C2212yes—
296C2×#121×C53C2212yes—
297C53×#518C2212yescomplemented
298C2×C4×D4×C53C2211yescharacteristic
299C2×#11719949C2311yescharacteristic
300C2×#11719945C2312yes—
301C2×#11719945C2312yes—
302C2×#11719947C2312yes—
303C2×#11719947C2312yes—
304C2×#11719947C2312yes—
305C2×#11719947C2311yescharacteristic
306C2×#11719947C2314yes—
307C2×#11719947C2312yes—
308C2×#11719947C2312yes—
309C22×Dic106C2312yes—
310C22×Dic106C2311yescharacteristic
311C22×Dic106C2312yes—
312C22×C22⋊D53C2312yes—
313C22×C4×D53C2311yescharacteristic
314C22×C4×D53C2311yescharacteristic
315C22×C4×D53C2311yescharacteristic
316#13133217C2311yescharacteristic
317#13133217C2312yes—
318#13133217C2311yescharacteristic
319#13133217C2314yes—
320#13133216C2312yes—
321#13133216C2314yes—
322#13133216C2312yes—
323#13133216C2312yes—
324#13133216C2314yes—
325#13133216C2312yes—
326#13133216C2311yescharacteristic
327#13133216C2311yescharacteristic
328#13133215C2312yes—
329#13133215C2314yes—
330#13133215C2311yescharacteristic
331#13133213C2312yes—
332#13133213C2314yes—
333#13133213C2314yes—
334#13133213C2311yescharacteristic
335#13133212C2314yes—
336#13133212C2314yes—
337#13133212C2314yes—
338#13133212C2312yes—
339#13133211C2314yes—
340#13133211C2312yes—
341#13133210C2314yes—
342#13133210C2314yes—
343#13133210C2312yes—
344#13133210C2314yes—
345#13133210C2314yes—
346#13133210C2314yes—
347#13133210C2314yes—
348#13133210C2314yes—
349#13133210C2314yes—
350#13133210C2314yes—
351#13133210C2314yes—
352#13133210C2314yes—
353#13133210C2312yes—
354#13133210C2314yes—
355#13133210C2314yes—
356#13133210C2314yes—
357#13133210C2314yes—
358#13133210C2312yes—
359#13133210C2314yes—
360#13133210C2314yes—
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2312yes—
365#13133210C2312yes—
366#13133210C2312yes—
367#13133210C2312yes—
368#13133210C2312yes—
369#13133210C2312yes—
370#13133210C2314yes—
371#13133209C2314yes—
372#13133209C2311yescharacteristic
373#13133209C2312yes—
374#13133209C2312yes—
375#13133208C2314yes—
376#13133208C2312yes—
377#13133208C2312yes—
378#13133208C2312yes—
379#13133208C2314yes—
380#13133208C2314yes—
381#13133208C2314yes—
382#13133208C2311yescharacteristic
383#13133208C2311yescharacteristic
384#13133208C2311yescharacteristic
385#13133208C2312yes—
386#13133208C2311yescharacteristic
387#13133208C2312yes—
388#13133208C2312yes—
389#13133207C2314yes—
390#13133207C2314yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133207C2312yes—
394#13133207C2314yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2314yes—
399#13133207C2312yes—
400#13133205C2311yescharacteristic
401#13133205C2314yes—
402#13133204C2312yes—
403#13133204C2311yescharacteristic
404#13133204C2312yes—
405#13133204C2312yes—
406#13133204C2314yes—
407#13133204C2314yes—
408#13133204C2311yescharacteristic
409#13133204C2312yes—
410#13133204C2312yes—
411#13133204C2314yes—
412#13133204C2314yes—
413#13133204C2314yes—
414#13133204C2311yescharacteristic
415#13133204C2311yescharacteristic
416#13133204C2312yes—
417#13133204C2312yes—
418#13133204C2312yes—
419#13133203C2314yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2312yes—
426#13133203C2314yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2312yes—
430#13133202C2314yes—
431#13133202C2312yes—
432#13133202C2312yes—
433#13133201C2314yes—
434#13133201C2314yes—
435#13133201C2314yes—
436#13133201C2314yes—
437#13133201C2314yes—
438#13133200C2312yes—
439#13133200C2314yes—
440#13133200C2314yes—
441#13133200C2314yes—
442#13133200C2314yes—
443#13133200C2314yes—
444#13133199C2314yes—
445#13133199C2314yes—
446#13133199C2314yes—
447#13133199C2314yes—
448#13133199C2314yes—
449#13133199C2312yes—
450#13133199C2312yes—
451#13133199C2314yes—
452#13133199C2312yes—
453#13133199C2312yes—
454#13133199C2314yes—
455#13133199C2312yes—
456#13133199C2312yes—
457#13133199C2312yes—
458#13133199C2312yes—
459#13133199C2312yes—
460#13133199C2312yes—
461#13133198C2314yes—
462#13133198C2314yes—
463#13133198C2314yes—
464#13133198C2314yes—
465#13133198C2314yes—
466#13133198C2314yes—
467#13133198C2314yes—
468#13133198C2314yes—
469#13133198C2314yes—
470#13133198C2314yes—
471#13133198C2314yes—
472#13133198C2314yes—
473#13133198C2314yes—
474#13133198C2314yes—
475#13133197C2312yes—
476#13133197C2312yes—
477#13133197C2311yescharacteristic
478#13133197C2311yescharacteristic
479#13133197C2311yescharacteristic
480#13133197C2312yes—
481#13133197C2312yes—
482#13133197C2311yescharacteristic
483#13133197C2311yescharacteristic
484#13133197C2312yes—
485#13133197C2312yes—
486#13133196C2312yes—
487#13133196C2312yes—
488#13133196C2312yes—
489#13133196C2312yes—
490#13133196C2312yes—
491#13133196C2314yes—
492#13133196C2314yes—
493#13133196C2312yes—
494#13133196C2314yes—
495#13133196C2314yes—
496#13133196C2314yes—
497#13133196C2314yes—
498#13133196C2314yes—
499#13133196C2311yescharacteristic
500#13133196C2312yes—
501#13133195C2314yes—
502#13133195C2312yes—
503#13133195C2312yes—
504#13133195C2312yes—
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#13133193C2311yescharacteristic
521#13133193C2314yes—
522#13133193C2312yes—
523#13133193C2312yes—
524#13133192C2311yescharacteristic
525#13133191C2312yes—
526#13133191C2314yes—
527#13133191C2311yescharacteristic
528#13133190C2314yes—
529#13133190C2314yes—
530#13133190C2314yes—
531#13133190C2312yes—
532#13133190C2312yes—
533#13133190C2312yes—
534#13133189C2314yes—
535#13133189C2314yes—
536#13133189C2312yes—
537#13133189C2314yes—
538#13133189C2314yes—
539#13133189C2314yes—
540#13133189C2314yes—
541#13133189C2314yes—
542#13133189C2314yes—
543#13133189C2314yes—
544#13133189C2314yes—
545#13133189C2314yes—
546#13133189C2314yes—
547#13133189C2314yes—
548#13133189C2314yes—
549#13133188C2311yescharacteristic
550#13133188C2312yes—
551#13133188C2311yescharacteristic
552#13133188C2312yes—
553#13133188C2314yes—
554#13133188C2314yes—
555#13133188C2312yes—
556#13133188C2314yes—
557#13133188C2314yes—
558#13133188C2311yescharacteristic
559#13133188C2314yes—
560#13133188C2312yes—
561#13133188C2312yes—
562#13133188C2311yescharacteristic
563#13133188C2311yescharacteristic
564#13133188C2312yes—
565#13133188C2312yes—
566#13133188C2312yes—
567#13133187C2312yes—
568#13133186C2314yes—
569#13133186C2314yes—
570#13133186C2314yes—
571#13133186C2314yes—
572#13133186C2314yes—
573#13133185C2314yes—
574#13133185C2312yes—
575Q8×Dic53C2312yes—
576Q8×Dic53C2312yes—
577Q8×Dic53C2311yescharacteristic
578Q8×Dic53C2312yes—
579C4×Dic106C2312yes—
580C4×Dic106C2312yes—
581C4×Dic106C2311yescharacteristic
582C4×Dic106C2311yescharacteristic
583C4×Dic106C2312yes—
584C4×Dic106C2311yescharacteristic
585C4×Dic106C2314yes—
586C4×Dic106C2314yes—
587C4×Dic106C2312yes—
588C4×Dic106C2312yes—
589C4×Dic106C2314yes—
590C4×Dic106C2311yescharacteristic
591C4×Dic106C2311yescharacteristic
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594#13133182C2312yes—
595#13133182C2312yes—
596#13133182C2312yes—
597#13133182C2312yes—
598#13133182C2312yes—
599#13133182C2312yes—
600#13133182C2312yes—
601#13133182C2312yes—
602#13133182C2314yes—
603#13133182C2314yes—
604#13133182C2314yes—
605#13133182C2311yescharacteristic
606#13133182C2312yes—
607#13133182C2312yes—
608C4×D212C2311yescharacteristic
609C4×D212C2312yes—
610D4×Dic53C2312yes—
611D4×Dic53C2312yes—
612D4×Dic53C2314yes—
613D4×Dic53C2312yes—
614D4×Dic53C2312yes—
615D4×Dic53C2314yes—
616D4×Dic53C2312yes—
617D4×Dic53C2314yes—
618D4×Dic53C2312yes—
619D4×Dic53C2314yes—
620D4×Dic53C2314yes—
621D4×Dic53C2314yes—
622D4×Dic53C2314yes—
623D4×Dic53C2314yes—
624D4×Dic53C2314yes—
625D4×Dic53C2314yes—
626D4×Dic53C2312yes—
627D4×Dic53C2314yes—
628D4×Dic53C2312yes—
629D4×Dic53C2311yescharacteristic
630D4×Dic53C2312yes—
631D4×Dic53C2314yes—
632D4×Dic53C2312yes—
633#13133179C2312yes—
634#13133179C2312yes—
635#13133179C2312yes—
636#13133179C2311yescharacteristic
637#13133179C2312yes—
638C4×C22⋊D53C2312yes—
639C4×C22⋊D53C2312yes—
640C4×C22⋊D53C2312yes—
641C4×C22⋊D53C2312yes—
642C4×C22⋊D53C2312yes—
643C4×C22⋊D53C2314yes—
644C4×C22⋊D53C2314yes—
645C4×C22⋊D53C2312yes—
646C4×C22⋊D53C2314yes—
647C4×C22⋊D53C2314yes—
648C4×C22⋊D53C2312yes—
649C4×C22⋊D53C2314yes—
650C4×C22⋊D53C2312yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2314yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2314yes—
656C4×C22⋊D53C2314yes—
657#13133177C2314yes—
658#13133177C2314yes—
659#13133177C2312yes—
660#13133177C2312yes—
661#13133177C2312yes—
662#13133177C2312yes—
663#13133177C2314yes—
664#13133177C2314yes—
665#13133177C2312yes—
666#13133177C2312yes—
667#13133177C2314yes—
668#13133177C2312yes—
669#13133176C2312yes—
670#13133176C2312yes—
671#13133176C2312yes—
672#13133176C2314yes—
673#13133176C2314yes—
674#13133176C2314yes—
675#13133176C2314yes—
676#13133176C2312yes—
677#13133176C2312yes—
678#13133176C2312yes—
679#13133176C2312yes—
680#13133176C2312yes—
681#13133176C2312yes—
682#13133176C2312yes—
683#13133176C2312yes—
684#13133175C2312yes—
685#13133175C2314yes—
686#13133175C2311yescharacteristic
687#13133175C2312yes—
688#13133175C2312yes—
689#13133175C2312yes—
690#13133175C2311yescharacteristic
691#13133174C2314yes—
692#13133174C2312yes—
693#13133174C2312yes—
694#13133173C2314yes—
695#13133173C2314yes—
696#13133173C2314yes—
697#13133173C2314yes—
698#13133173C2314yes—
699#13133173C2312yes—
700#13133173C2312yes—
701#13133173C2312yes—
702#13133173C2314yes—
703#13133173C2314yes—
704#13133173C2314yes—
705#13133173C2314yes—
706#13133173C2314yes—
707C2×C4⋊Dic53C2312yes—
708C2×C4⋊Dic53C2311yescharacteristic
709C2×C4⋊Dic53C2312yes—
710C2×C4⋊Dic53C2314yes—
711C2×C4⋊Dic53C2312yes—
712C2×#11719919C2312yes—
713C2×#11719919C2314yes—
714C2×#11719919C2314yes—
715C2×#11719919C2314yes—
716C2×#11719919C2312yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2314yes—
720C4⋊C4×D53C2312yes—
721C2×C22⋊Dic53C2314yes—
722C2×C22⋊Dic53C2314yes—
723C2×C22⋊Dic53C2314yes—
724C2×C22⋊Dic53C2312yes—
725C2×C22⋊Dic53C2312yes—
726C2×C22⋊Dic53C2314yes—
727C2×C22⋊Dic53C2314yes—
728C2×C22⋊Dic53C2312yes—
729C2×#11719921C2312yes—
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2312yes—
734C2×C4×Dic53C2312yes—
735C2×C4×Dic53C2314yes—
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2312yes—
745C2×#41×C53C2312yes—
746C2×#41×C53C2312yes—
747C22×D4×C53C2311yescharacteristic
748C22×D4×C53C2312yes—
749C22×D4×C53C2314yes—
750C22×D4×C53C2312yes—
751C23×C4×C53C2312yes—
752C4⋊Q8×C53C2311yescharacteristic
753#127×C53C2311yescharacteristic
754#127×C53C2312yes—
755#126×C53C2312yes—
756#126×C53C2314yes—
757#125×C53C2311yescharacteristic
758#125×C53C2312yes—
759#124×C53C2311yescharacteristic
760#124×C53C2312yes—
761#124×C53C2314yes—
762#123×C53C2314yes—
763#123×C53C2312yes—
764#123×C53C2314yes—
765#123×C53C2314yes—
766C22⋊Q8×C53C2312yes—
767C22⋊Q8×C53C2311yescharacteristic
768C22⋊Q8×C53C2314yes—
769#121×C53C2312yes—
770#121×C53C2314yes—
771#121×C53C2312yes—
772#121×C53C2312yes—
773#121×C53C2312yes—
774#121×C53C2312yes—
775#121×C53C2312yes—
776#121×C53C2311yescharacteristic
777#121×C53C2312yes—
778#121×C53C2314yes—
779#121×C53C2314yes—
780#121×C53C2314yes—
781#121×C53C2314yes—
782#120×C53C2314yes—
783#120×C53C2314yes—
784#120×C53C2314yes—
785C4×Q8×C53C2311yescharacteristic
786C4×D4×C53C2311yescharacteristic
787C4×D4×C53C2312yes—
788C4×D4×C53C2311yescharacteristic
789C4×D4×C53C2312yes—
790C4×D4×C53C2312yes—
791C4×D4×C53C2311yescharacteristic
792C4×D4×C53C2311yescharacteristic
793C4×D4×C53C2312yes—
794C4×D4×C53C2311yescharacteristic
795C4×D4×C53C2314yes—
796C4×D4×C53C2312yes—
797C4×D4×C53C2312yes—
798C4×D4×C53C2314yes—
799C4×D4×C53C2314yes—
800C4×D4×C53C2312yes—
801#117×C53C2312yes—
802#117×C53C2312yes—
803#117×C53C2312yes—
804C2×C4⋊C4×C53C2311yescharacteristic
805C2×C4⋊C4×C53C2312yes—
806C2×C22⋊C4×C53C2312yes—
807C2×C22⋊C4×C53C2314yes—
808C2×C22⋊C4×C53C2314yes—
809C2×C42×C53C2311yescharacteristic
810C24×C53C2412yes—
811C24×C53C2414yes—
812C23×D53C2411yescharacteristic
813#41×C53—44no—
814#41×C53—44no—
815C2×Q8×C53C2411yescharacteristic
816C2×Q8×C53C2412yes—
817C2×D4×C53—42no—
818C2×D4×C53—44no—
819C2×D4×C53—44no—
820C2×D4×C53—48no—
821C2×D4×C53C2411yescharacteristic
822C2×D4×C53C2411yescharacteristic
823C2×D4×C53C2412yes—
824C2×D4×C53C2414yes—
825C2×D4×C53C2412yes—
826C2×D4×C53C2411yescharacteristic
827C2×D4×C53C2412yes—
828C2×D4×C53C2412yes—
829C2×D4×C53C2414yes—
830C2×D4×C53C2414yes—
831C2×D4×C53C2412yes—
832C2×D4×C53C2414yes—
833C2×D4×C53C2414yes—
834C2×D4×C53C2414yes—
835C22×C4×C53—44no—
836C22×C4×C53C2411yescharacteristic
837C22×C4×C53C2411yescharacteristic
838C22×C4×C53C2411yescharacteristic
839C22×C4×C53C2412yes—
840C22×C4×C53C2412yes—
841C22×C4×C53C2412yes—
842C22×C4×C53C2412yes—
843C22×C4×C53C2412yes—
844C22×C4×C53C2414yes—
845C22×C4×C53C2414yes—
846C22×C4×C53C2414yes—
847C22×C4×C53C2412yes—
848C2×C22⋊D53—44no—
849C2×C22⋊D53C2412yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2412yes—
852C2×C22⋊D53C2412yes—
853C2×C22⋊D53C2414yes—
854C2×C22⋊D53C2414yes—
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2414yes—
859C2×C22⋊D53C2414yes—
860C2×C22⋊D53C2412yes—
861C2×C22⋊D53C2412yes—
862C2×C22⋊D53C2412yes—
863C2×C22⋊D53C2412yes—
864C22×Dic53C2411yescharacteristic
865C22×Dic53C2412yes—
866C22×Dic53C2411yescharacteristic
867C22×Dic53C2411yescharacteristic
868C22×Dic53C2412yes—
869C22×Dic53C2412yes—
870C22×Dic53C2412yes—
871C22×Dic53C2414yes—
872C22×Dic53C2414yes—
873C22×Dic53C2414yes—
874C22×Dic53C2414yes—
875C22×Dic53C2414yes—
876C22×Dic53C2414yes—
877C22×Dic53C2414yes—
878#11719949—42no—
879#11719947—42no—
880#11719947—44no—
881#11719947—44no—
882#11719947—44no—
883#11719947—44no—
884#11719947—44no—
885#11719947—48no—
886#11719945—44no—
887#11719945—44no—
888C2×D212C2411yescharacteristic
889C2×D212C2412yes—
890C2×D212C2412yes—
891C2×C4×D53—42no—
892C2×C4×D53—42no—
893C2×C4×D53—42no—
894C2×C4×D53C2411yescharacteristic
895C2×C4×D53C2411yescharacteristic
896C2×C4×D53C2411yescharacteristic
897C2×C4×D53C2411yescharacteristic
898C2×C4×D53C2412yes—
899C2×C4×D53C2411yescharacteristic
900C2×C4×D53C2411yescharacteristic
901C2×C4×D53C2411yescharacteristic
902C2×C4×D53C2411yescharacteristic
903C2×C4×D53C2411yescharacteristic
904C2×C4×D53C2411yescharacteristic
905C2×C4×D53C2411yescharacteristic
906C2×C4×D53C2411yescharacteristic
907C2×C4×D53C2412yes—
908C2×C4×D53C2412yes—
909C2×C4×D53C2414yes—
910C2×C4×D53C2414yes—
911C2×Dic106—42no—
912C2×Dic106—44no—
913C2×Dic106—44no—
914C2×Dic106C2411yescharacteristic
915C2×Dic106C2412yes—
916C2×Dic106C2412yes—
917C2×Dic106C2411yescharacteristic
918C2×Dic106C2411yescharacteristic
919C2×Dic106C2412yes—
920C2×Dic106C2414yes—
921C2×Dic106C2412yes—
922C2×Dic106C2414yes—
923C2×Dic106C2412yes—
924C2×Dic106C2414yes—
925C4⋊C4×C53C2411yescharacteristic
926C4⋊C4×C53C2411yescharacteristic
927C4⋊C4×C53C2412yes—
928C4⋊C4×C53C2411yescharacteristic
929C4⋊C4×C53C2412yes—
930C4⋊C4×C53C2414yes—
931C4⋊C4×C53C2411yescharacteristic
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2412yes—
934C4⋊C4×C53C2412yes—
935C4⋊C4×C53C2412yes—
936C4⋊C4×C53C2414yes—
937C4⋊C4×C53C2412yes—
938C22⋊C4×C53C2412yes—
939C22⋊C4×C53C2412yes—
940C22⋊C4×C53C2412yes—
941C22⋊C4×C53C2414yes—
942C22⋊C4×C53C2414yes—
943C22⋊C4×C53C2412yes—
944C22⋊C4×C53C2414yes—
945C22⋊C4×C53C2412yes—
946C22⋊C4×C53C2414yes—
947C22⋊C4×C53C2412yes—
948C22⋊C4×C53C2414yes—
949C22⋊C4×C53C2412yes—
950C22⋊C4×C53C2412yes—
951C22⋊C4×C53C2412yes—
952C22⋊C4×C53C2414yes—
953C22⋊C4×C53C2414yes—
954C42×C53C2411yescharacteristic
955C42×C53C2411yescharacteristic
956C42×C53C2411yescharacteristic
957C42×C53C2411yescharacteristic
958C42×C53C2414yes—
959C42×C53C2412yes—
960C22⋊Dic53C2412yes—
961C22⋊Dic53C2412yes—
962C22⋊Dic53C2412yes—
963C22⋊Dic53C2412yes—
964C22⋊Dic53C2412yes—
965C22⋊Dic53C2412yes—
966C22⋊Dic53C2412yes—
967C22⋊Dic53C2414yes—
968C22⋊Dic53C2414yes—
969C22⋊Dic53C2414yes—
970C22⋊Dic53C2412yes—
971C22⋊Dic53C2412yes—
972C22⋊Dic53C2414yes—
973C22⋊Dic53C2414yes—
974C22⋊Dic53C2414yes—
975C22⋊Dic53C2412yes—
976C22⋊Dic53C2412yes—
977C22⋊Dic53C2412yes—
978C22⋊Dic53C2412yes—
979C22⋊Dic53C2412yes—
980C22⋊Dic53C2412yes—
981C22⋊Dic53C2414yes—
982C22⋊Dic53C2414yes—
983C22⋊Dic53C2414yes—
984C22⋊Dic53C2414yes—
985C22⋊Dic53C2414yes—
986C22⋊Dic53C2414yes—
987C22⋊Dic53C2414yes—
988C22⋊Dic53C2414yes—
989C22⋊Dic53C2414yes—
990C22⋊Dic53C2414yes—
991#11719921C2412yes—
992#11719921C2412yes—
993#11719921C2412yes—
994#11719921C2412yes—
995#11719921C2412yes—
996#11719921C2412yes—
997#11719921C2412yes—
998#11719921C2412yes—
999#11719921C2412yes—
1000#11719921C2414yes—
1001#11719921C2412yes—
1002#11719921C2414yes—
1003#11719921C2414yes—
1004#11719921C2412yes—
1005#11719921C2412yes—
1006#11719921C2414yes—
1007#11719921C2412yes—
1008#11719921C2412yes—
1009C4⋊Dic53C2412yes—
1010C4⋊Dic53C2411yescharacteristic
1011C4⋊Dic53C2412yes—
1012C4⋊Dic53C2414yes—
1013C4⋊Dic53C2412yes—
1014C4⋊Dic53C2411yescharacteristic
1015C4⋊Dic53C2412yes—
1016C4⋊Dic53C2414yes—
1017C4⋊Dic53C2412yes—
1018C4⋊Dic53C2412yes—
1019C4⋊Dic53C2412yes—
1020C4⋊Dic53C2411yescharacteristic
1021C4⋊Dic53C2412yes—
1022C4⋊Dic53C2412yes—
1023C4⋊Dic53C2412yes—
1024C4⋊Dic53C2412yes—
1025C4⋊Dic53C2414yes—
1026C4⋊Dic53C2412yes—
1027C4⋊Dic53C2411yescharacteristic
1028C4⋊Dic53C2412yes—
1029C4⋊Dic53C2414yes—
1030C4⋊Dic53C2414yes—
1031C4⋊Dic53C2412yes—
1032C4⋊Dic53C2412yes—
1033C4⋊Dic53C2414yes—
1034#11719919C2412yes—
1035#11719919C2414yes—
1036#11719919C2414yes—
1037#11719919C2414yes—
1038#11719919C2414yes—
1039#11719919C2414yes—
1040#11719919C2412yes—
1041#11719919C2412yes—
1042#11719919C2412yes—
1043#11719919C2412yes—
1044#11719919C2412yes—
1045#11719919C2414yes—
1046#11719919C2412yes—
1047#11719919C2412yes—
1048#11719919C2414yes—
1049#11719919C2414yes—
1050#11719919C2412yes—
1051#11719919C2414yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2414yes—
1056#11719919C2414yes—
1057#11719919C2412yes—
1058#11719919C2412yes—
1059#11719919C2414yes—
1060#11719919C2412yes—
1061#11719919C2412yes—
1062#11719919C2414yes—
1063#11719919C2414yes—
1064#11719919C2414yes—
1065#11719919C2414yes—
1066#11719919C2412yes—
1067#11719919C2412yes—
1068C4×Dic53C2411yescharacteristic
1069C4×Dic53C2411yescharacteristic
1070C4×Dic53C2411yescharacteristic
1071C4×Dic53C2411yescharacteristic
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×Dic53C2412yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2412yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2412yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2412yes—
1092C4×Dic53C2414yes—
1093C4×Dic53C2414yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2414yes—
1096C4×Dic53C2414yes—
1097C23×C53—24no—
1098C23×C53—42no—
1099C23×C53—42no—
1100C23×C53—44no—
1101C23×C53—44no—
1102C23×C53—44no—
1103C23×C53C2512yes—
1104C23×C53C2514yes—
1105C23×C53C2512yes—
1106C23×C53C2512yes—
1107C23×C53C2511yescharacteristic
1108C22×D53—22no—
1109C22×D53—41no—
1110C22×D53—41no—
1111C22×D53C2512yes—
1112C22×D53C2511yescharacteristic
1113C22×D53C2511yescharacteristic
1114Q8×C53—22no—
1115Q8×C53—42no—
1116D4×C53—24no—
1117D4×C53—28no—
1118D4×C53—22no—
1119D4×C53—24no—
1120D4×C53—22no—
1121D4×C53—24no—
1122D4×C53—22no—
1123D4×C53—44no—
1124D4×C53—42no—
1125D4×C53—44no—
1126D4×C53—44no—
1127D4×C53—44no—
1128D4×C53—42no—
1129D4×C53—44no—
1130C2×C4×C53—22no—
1131C2×C4×C53—22no—
1132C2×C4×C53—24no—
1133C2×C4×C53—24no—
1134C2×C4×C53—22no—
1135C2×C4×C53—24no—
1136C2×C4×C53—42no—
1137C2×C4×C53—42no—
1138C2×C4×C53—42no—
1139C2×C4×C53—44no—
1140C2×C4×C53—44no—
1141C2×C4×C53—44no—
1142C2×C4×C53C2512yes—
1143C2×C4×C53C2511yescharacteristic
1144C2×C4×C53C2512yes—
1145C2×C4×C53C2512yes—
1146C2×C4×C53C2514yes—
1147C2×C4×C53C2511yescharacteristic
1148C2×C4×C53C2511yescharacteristic
1149C2×C4×C53C2512yes—
1150C2×C4×C53C2511yescharacteristic
1151C2×C4×C53C2512yes—
1152C2×C4×C53C2511yescharacteristic
1153C2×C4×C53C2511yescharacteristic
1154C22⋊D53—24no—
1155C22⋊D53—44no—
1156C22⋊D53—42no—
1157C22⋊D53—42no—
1158C22⋊D53—42no—
1159C22⋊D53—44no—
1160C22⋊D53—44no—
1161C22⋊D53—44no—
1162C22⋊D53—44no—
1163C22⋊D53—42no—
1164C22⋊D53—44no—
1165C22⋊D53—42no—
1166C22⋊D53—42no—
1167C22⋊D53—42no—
1168C22⋊D53—42no—
1169C2×Dic53—22no—
1170C2×Dic53—24no—
1171C2×Dic53—42no—
1172C2×Dic53—44no—
1173C2×Dic53—44no—
1174C2×Dic53—41no—
1175C2×Dic53—41no—
1176C2×Dic53—42no—
1177C2×Dic53—44no—
1178C2×Dic53—44no—
1179C2×Dic53—44no—
1180C2×Dic53—44no—
1181C2×Dic53—42no—
1182C2×Dic53—44no—
1183C2×Dic53C2512yes—
1184C2×Dic53C2512yes—
1185C2×Dic53C2512yes—
1186C2×Dic53C2511yescharacteristic
1187C2×Dic53C2511yescharacteristic
1188C2×Dic53C2514yes—
1189C2×Dic53C2514yes—
1190C2×Dic53C2512yes—
1191C2×Dic53C2512yes—
1192C2×Dic53C2512yes—
1193C2×Dic53C2511yescharacteristic
1194C2×Dic53C2511yescharacteristic
1195C2×Dic53C2511yescharacteristic
1196C2×Dic53C2511yescharacteristic
1197C2×Dic53C2512yes—
1198D212—22no—
1199D212—42no—
1200D212—42no—
1201C4×D53—22no—
1202C4×D53—22no—
1203C4×D53—22no—
1204C4×D53—22no—
1205C4×D53—24no—
1206C4×D53—41no—
1207C4×D53—41no—
1208C4×D53—41no—
1209C4×D53—41no—
1210C4×D53—41no—
1211C4×D53—41no—
1212C4×D53—41no—
1213C4×D53—41no—
1214C4×D53—44no—
1215C4×D53—42no—
1216C4×D53—44no—
1217C4×D53—42no—
1218Dic106—22no—
1219Dic106—22no—
1220Dic106—24no—
1221Dic106—22no—
1222Dic106—24no—
1223Dic106—44no—
1224Dic106—42no—
1225Dic106—44no—
1226Dic106—42no—
1227Dic106—42no—
1228Dic106—44no—
1229#62827—531nomaximal, Sylow
1230C22×C53—21no—
1231C22×C53—21no—
1232C22×C53—22no—
1233C22×C53—22no—
1234C22×C53—24no—
1235C22×C53—22no—
1236C22×C53—24no—
1237C22×C53—24no—
1238C22×C53—22no—
1239C22×C53—22no—
1240C22×C53—22no—
1241C22×C53—22no—
1242C22×C53—22no—
1243C22×C53—22no—
1244C22×C53—84no—
1245C22×C53—164no—
1246C22×C53#58512yes—
1247C22×C53C2611yescharacteristic
1248C2×D53—21no—
1249C2×D53—21no—
1250C2×D53—21no—
1251C2×D53—21no—
1252C2×D53—22no—
1253C2×D53—22no—
1254C2×D53—22no—
1255C2×D53—21no—
1256C2×D53—21no—
1257C2×D53—44no—
1258C4×C53—22no—
1259C4×C53—21no—
1260C4×C53—22no—
1261C4×C53—22no—
1262C4×C53—24no—
1263C4×C53—21no—
1264C4×C53—21no—
1265C4×C53—22no—
1266C4×C53—21no—
1267C4×C53—22no—
1268C4×C53#58512yes—
1269C4×C53#58512yes—
1270Dic53—22no—
1271Dic53—22no—
1272Dic53—24no—
1273Dic53—24no—
1274Dic53—22no—
1275Dic53—22no—
1276Dic53—21no—
1277Dic53—21no—
1278Dic53—22no—
1279Dic53—22no—
1280Dic53—21no—
1281Dic53—21no—
1282Dic53—21no—
1283Dic53—21no—
1284Dic53—22no—
1285#3566—534no—
1286#3566—534no—
1287#3565—532no—
1288#3562—532no—
1289#3555—531no—
1290#3554—531no—
1291#3547—531no—
1292#3546—531no—
1293#3542—532no—
1294#3541—532no—
1295#3533—534no—
1296#3524—532no—
1297#3524—532no—
1298#3523—531no—
1299#3522—531no—
1300#3521—534no—
1301#3521—532no—
1302#3521—532no—
1303#3520—531no—
1304#3519D5311yescharacteristic, complemented
1305#3518—531no—
1306#3517—531no—
1307#3515—531no—
1308#3515—532no—
1309#3514—532no—
1310#3514—531no—
1311#3512—532no—
1312#3510—532no—
1313#3506—532no—
1314#3505—532no—
1315#3495—532no—
1316#3494—532no—
1317#3444—531no—
1318#3444—531no—
1319C2×#529—531no—
1320C2×C53—22no—
1321C2×C53—42no—
1322C2×C53—42no—
1323C2×C53—44no—
1324C2×C53—42no—
1325C2×C53C2×#58511yescharacteristic
1326C2×C53C2×#58511yescharacteristic
1327C2×C53C2×#58511yescharacteristic
1328D53—42no—
1329D53—41no—
1330D53—41no—
1331#563—534no—
1332#563—534no—
1333#562—534no—
1334#562—534no—
1335#562—534no—
1336#562—534no—
1337#560—534no—
1338#560—534no—
1339#559—531no—
1340#559—532no—
1341#559—534no—
1342#559—534no—
1343#559—534no—
1344#559—532no—
1345Q82—531no—
1346#557—532no—
1347#557—532no—
1348#557—531no—
1349#557—531no—
1350#556—534no—
1351#556—532no—
1352#556—532no—
1353#556—534no—
1354#556—534no—
1355#556—531no—
1356#556—532no—
1357#556—531no—
1358#556—532no—
1359#556—532no—
1360#555—534no—
1361#555—532no—
1362#555—534no—
1363#555—532no—
1364#555—532no—
1365#555C2×D5311yescharacteristic, complemented
1366#554—531no—
1367#554—534no—
1368#554—532no—
1369#554—532no—
1370#554—532no—
1371#554C2×D5311yescharacteristic, complemented
1372#553—534no—
1373#553—534no—
1374#553—534no—
1375#553—534no—
1376#553—534no—
1377#553—534no—
1378#553—534no—
1379#553—532no—
1380#553—534no—
1381#553—532no—
1382#553—532no—
1383#553—534no—
1384#553—534no—
1385#553—532no—
1386#553C2×D5312yes—
1387#553C2×D5312yescomplemented
1388#552—534no—
1389#552—532no—
1390#552—534no—
1391#552—534no—
1392#552—534no—
1393#552—534no—
1394#552—534no—
1395#552—534no—
1396#552—534no—
1397#552—534no—
1398#552—532no—
1399#552—532no—
1400#552—532no—
1401#552—532no—
1402#552—532no—
1403#551—534no—
1404#551—534no—
1405#551—534no—
1406#551—534no—
1407#551—534no—
1408#551—534no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#551—534no—
1414#550—532no—
1415#550—531no—
1416#550—532no—
1417#550—532no—
1418#550C2×D5311yescharacteristic, complemented
1419D4×Q8—532no—
1420D4×Q8—531no—
1421D4×Q8—531no—
1422#548—532no—
1423#548—532no—
1424#548—532no—
1425#548—532no—
1426#548—532no—
1427#548—532no—
1428#547—532no—
1429#547—534no—
1430#547—532no—
1431#547—534no—
1432#547—532no—
1433#547—531no—
1434#547—532no—
1435#547—531no—
1436#546—532no—
1437#546—532no—
1438#546—534no—
1439#546—534no—
1440#546—532no—
1441#546—532no—
1442#546—532no—
1443#546C2×D5314yes—
1444#546C2×D5312yescomplemented
1445D42C2×D5312yes—
1446D42C2×D5311yescharacteristic, complemented
1447#544—532no—
1448#544—532no—
1449#542—534no—
1450#542—534no—
1451#542—534no—
1452#542—534no—
1453#542—534no—
1454#542—532no—
1455#542—532no—
1456#542—532no—
1457#542—532no—
1458#542—534no—
1459#542—532no—
1460#542—532no—
1461#542—532no—
1462#542—532no—
1463#541—534no—
1464#541—534no—
1465#541—532no—
1466#541—532no—
1467#541—532no—
1468#541—534no—
1469#541—532no—
1470#540—532no—
1471#540—532no—
1472#540—532no—
1473#540—534no—
1474#540—534no—
1475#540—534no—
1476#540C2×D5312yescomplemented
1477#539—534no—
1478#539—534no—
1479#539—534no—
1480#539—534no—
1481#539—534no—
1482#539—534no—
1483#539—534no—
1484#538—534no—
1485#538—534no—
1486#538—534no—
1487#538—534no—
1488#538—534no—
1489#538—534no—
1490#538—534no—
1491#538—534no—
1492#538C2×D5314yescomplemented
1493#537—532no—
1494#537—532no—
1495#536—532no—
1496#536—532no—
1497#535—532no—
1498#535—532no—
1499#535—534no—
1500#534—534no—
1501#533—531no—
1502#533—531no—
1503#533—531no—
1504#533—531no—
1505#533—532no—
1506#533—531no—
1507#533—532no—
1508#533—531no—
1509#532—531no—
1510#532—531no—
1511#532—532no—
1512#532—531no—
1513#532—531no—
1514#532—532no—
1515#532—531no—
1516#532C2×D5311yescharacteristic
1517#529—532no—
1518#529—532no—
1519#529—531no—
1520#529—531no—
1521#529—532no—
1522#529—532no—
1523#529—532no—
1524#529—534no—
1525#529—532no—
1526#529—532no—
1527#529—532no—
1528#529—532no—
1529#529—532no—
1530#529—532no—
1531#529—534no—
1532#529—531no—
1533#529—531no—
1534#529—531no—
1535#529—531no—
1536#529—531no—
1537#529—531no—
1538#529—532no—
1539#529—531no—
1540#529—531no—
1541#529—532no—
1542#529—532no—
1543#529—532no—
1544#529—532no—
1545#529—532no—
1546#529—534no—
1547#529—532no—
1548#529—532no—
1549#529—532no—
1550#529—531no—
1551#529C2×D5311yescharacteristic
1552C2×#126—532no—
1553C2×#126—534no—
1554C2×#125—532no—
1555C2×#125—531no—
1556C2×#124—531no—
1557C2×#124—532no—
1558#525—532no—
1559#525—532no—
1560#525—532no—
1561#525—531no—
1562#525—531no—
1563#525—532no—
1564#525—532no—
1565#525—532no—
1566#525C2×D5312yes—
1567C2×#123—532no—
1568C2×C22⋊Q8—532no—
1569C2×C22⋊Q8—531no—
1570C2×#121—531no—
1571C2×#121C2×D5312yes—
1572#520—532no—
1573#520—534no—
1574#520—532no—
1575#520—532no—
1576#520—532no—
1577#519—532no—
1578#519—532no—
1579#518—532no—
1580#518—534no—
1581#518C2×D5312yescomplemented
1582C4×#41—532no—
1583C4×#41—531no—
1584C4×#41—532no—
1585C4×#41—531no—
1586C4×#41—532no—
1587C4×#41—532no—
1588C4×#41—532no—
1589C2×C4×Q8—531no—
1590C2×C4×D4—532no—
1591C2×C4×D4C2×D5311yescharacteristic
1592C2×#117—532no—
1593C22×C42—531no—
1594C53#6282711yescharacteristic, complemented, Sylow
1595C2×#41—531no—
1596C2×#41—532no—
1597C2×#41—531no—
1598C2×#41—532no—
1599C2×#41—532no—
1600C2×#41—534no—
1601C2×#41—532no—
1602C2×#41—532no—
1603C2×#41—532no—
1604C2×#41—532no—
1605C2×#41C22×D5312yes—
1606C2×#41C22×D5312yes—
1607C22×Q8—531no—
1608C22×Q8—532no—
1609C22×Q8—532no—
1610C22×D4—532no—
1611C22×D4C22×D5311yescharacteristic
1612C22×D4C22×D5314yes—
1613C22×D4C22×D5312yes—
1614C22×D4C22×D5312yes—
1615C23×C4—531no—
1616C23×C4—531no—
1617C23×C4—531no—
1618C23×C4C22×D5312yes—
1619C4⋊Q8—531no—
1620C4⋊Q8—532no—
1621C4⋊Q8—534no—
1622C4⋊Q8—531no—
1623C4⋊Q8—531no—
1624C4⋊Q8—532no—
1625C4⋊Q8—532no—
1626C4⋊Q8—532no—
1627C4⋊Q8—532no—
1628C4⋊Q8—534no—
1629C4⋊Q8—534no—
1630C4⋊Q8—531no—
1631C4⋊Q8—531no—
1632C4⋊Q8—532no—
1633C4⋊Q8—534no—
1634C4⋊Q8C22×D5311yescharacteristic
1635#127—531no—
1636#127—532no—
1637#127—534no—
1638#127—534no—
1639#127C22×D5311yescharacteristic
1640#127C22×D5312yes—
1641#126—532no—
1642#126—534no—
1643#126—534no—
1644#126—534no—
1645#126—532no—
1646#126—532no—
1647#126—532no—
1648#126—532no—
1649#126—532no—
1650#126—532no—
1651#126—532no—
1652#126—532no—
1653#126—532no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—534no—
1659#126—534no—
1660#126—534no—
1661#126—534no—
1662#126—534no—
1663#126—534no—
1664#126—534no—
1665#126—534no—
1666#126—534no—
1667#126—534no—
1668#126—534no—
1669#126—534no—
1670#126—534no—
1671#126—534no—
1672#126—534no—
1673#126—534no—
1674#126—534no—
1675#126—532no—
1676#126—534no—
1677#126C22×D5312yes—
1678#126C22×D5314yes—
1679#125—531no—
1680#125—531no—
1681#125—532no—
1682#125—532no—
1683#125—532no—
1684#125—531no—
1685#125—531no—
1686#125—534no—
1687#125—534no—
1688#125—532no—
1689#125—532no—
1690#125—532no—
1691#125—534no—
1692#125—534no—
1693#125—534no—
1694#125—532no—
1695#125—532no—
1696#125—534no—
1697#125—534no—
1698#125—534no—
1699#125—534no—
1700#125—534no—
1701#125—534no—
1702#125—534no—
1703#125—534no—
1704#125—532no—
1705#125—532no—
1706#125—531no—
1707#125—534no—
1708#125C22×D5312yes—
1709#125C22×D5311yescharacteristic
1710#124—531no—
1711#124—531no—
1712#124—532no—
1713#124—532no—
1714#124—531no—
1715#124—531no—
1716#124—532no—
1717#124—534no—
1718#124—534no—
1719#124—532no—
1720#124—532no—
1721#124—532no—
1722#124—532no—
1723#124—532no—
1724#124—534no—
1725#124—534no—
1726#124—534no—
1727#124—532no—
1728#124—532no—
1729#124—534no—
1730#124—534no—
1731#124—534no—
1732#124—534no—
1733#124—534no—
1734#124—534no—
1735#124—534no—
1736#124—534no—
1737#124—534no—
1738#124—531no—
1739#124—534no—
1740#124C22×D5312yes—
1741#124C22×D5311yescharacteristic
1742#124C22×D5314yes—
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—534no—
1755#123—534no—
1756#123—534no—
1757#123—532no—
1758#123—534no—
1759#123—534no—
1760#123—534no—
1761#123—534no—
1762#123—534no—
1763#123—532no—
1764#123—532no—
1765#123—534no—
1766#123—532no—
1767#123—532no—
1768#123—532no—
1769#123—532no—
1770#123—532no—
1771#123—532no—
1772#123—532no—
1773#123—532no—
1774#123—532no—
1775#123—532no—
1776#123—534no—
1777#123—534no—
1778#123—534no—
1779#123—534no—
1780#123—534no—
1781#123—534no—
1782#123—534no—
1783#123—534no—
1784#123—534no—
1785#123—534no—
1786#123—534no—
1787#123—534no—
1788#123C22×D5312yes—
1789#123C22×D5314yes—
1790#123C22×D5314yes—
1791#123C22×D5314yes—
1792C22⋊Q8—532no—
1793C22⋊Q8—531no—
1794C22⋊Q8—532no—
1795C22⋊Q8—534no—
1796C22⋊Q8—531no—
1797C22⋊Q8—532no—
1798C22⋊Q8—534no—
1799C22⋊Q8—534no—
1800C22⋊Q8—532no—
1801C22⋊Q8—532no—
1802C22⋊Q8—532no—
1803C22⋊Q8—532no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—534no—
1807C22⋊Q8—534no—
1808C22⋊Q8—534no—
1809C22⋊Q8—534no—
1810C22⋊Q8—534no—
1811C22⋊Q8—531no—
1812C22⋊Q8—531no—
1813C22⋊Q8—532no—
1814C22⋊Q8—531no—
1815C22⋊Q8—531no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—532no—
1819C22⋊Q8—532no—
1820C22⋊Q8—531no—
1821C22⋊Q8—532no—
1822C22⋊Q8—532no—
1823C22⋊Q8—532no—
1824C22⋊Q8—532no—
1825C22⋊Q8—534no—
1826C22⋊Q8—532no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8—534no—
1834C22⋊Q8—534no—
1835C22⋊Q8—534no—
1836C22⋊Q8—534no—
1837C22⋊Q8—534no—
1838C22⋊Q8—534no—
1839C22⋊Q8—534no—
1840C22⋊Q8—534no—
1841C22⋊Q8C22×D5311yescharacteristic
1842C22⋊Q8C22×D5312yes—
1843C22⋊Q8C22×D5314yes—
1844#121—531no—
1845#121—531no—
1846#121—532no—
1847#121—531no—
1848#121—531no—
1849#121—532no—
1850#121—532no—
1851#121—532no—
1852#121—531no—
1853#121—532no—
1854#121—532no—
1855#121—532no—
1856#121—532no—
1857#121—532no—
1858#121—534no—
1859#121—534no—
1860#121—534no—
1861#121—534no—
1862#121—534no—
1863#121—534no—
1864#121—534no—
1865#121—534no—
1866#121—534no—
1867#121—534no—
1868#121—534no—
1869#121—534no—
1870#121—534no—
1871#121—534no—
1872#121—534no—
1873#121—534no—
1874#121—534no—
1875#121—534no—
1876#121—534no—
1877#121—531no—
1878#121—532no—
1879#121—534no—
1880#121—531no—
1881#121—532no—
1882#121—532no—
1883#121—532no—
1884#121—534no—
1885#121—534no—
1886#121—534no—
1887#121C22×D5311yescharacteristic
1888#121C22×D5312yes—
1889#121C22×D5314yes—
1890#121C22×D5314yes—
1891#121C22×D5312yes—
1892#121C22×D5312yes—
1893#121C22×D5312yes—
1894#121C22×D5312yes—
1895#121C22×D5312yes—
1896#121C22×D5312yes—
1897#121C22×D5314yes—
1898#121C22×D5314yes—
1899#121C22×D5314yes—
1900#120—534no—
1901#120—534no—
1902#120—534no—
1903#120—534no—
1904#120—534no—
1905#120—532no—
1906#120—534no—
1907#120—532no—
1908#120C22×D5314yes—
1909#120C22×D5314yes—
1910#120C22×D5314yes—
1911C4×Q8—531no—
1912C4×Q8—532no—
1913C4×Q8—532no—
1914C4×Q8—532no—
1915C4×Q8—531no—
1916C4×Q8—532no—
1917C4×Q8—532no—
1918C4×Q8—532no—
1919C4×Q8—532no—
1920C4×Q8—532no—
1921C4×Q8—532no—
1922C4×Q8—534no—
1923C4×Q8—534no—
1924C4×Q8—532no—
1925C4×Q8—532no—
1926C4×Q8—532no—
1927C4×Q8—534no—
1928C4×Q8—532no—
1929C4×Q8—531no—
1930C4×Q8—531no—
1931C4×Q8—532no—
1932C4×Q8—531no—
1933C4×Q8—531no—
1934C4×Q8—532no—
1935C4×Q8—532no—
1936C4×Q8—532no—
1937C4×Q8—531no—
1938C4×Q8—532no—
1939C4×Q8—532no—
1940C4×Q8—532no—
1941C4×Q8—534no—
1942C4×Q8—534no—
1943C4×Q8—534no—
1944C4×Q8C22×D5311yescharacteristic
1945C4×D4—532no—
1946C4×D4—531no—
1947C4×D4—534no—
1948C4×D4—532no—
1949C4×D4—534no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—534no—
1954C4×D4—534no—
1955C4×D4—534no—
1956C4×D4—534no—
1957C4×D4—534no—
1958C4×D4—534no—
1959C4×D4—532no—
1960C4×D4—534no—
1961C4×D4—532no—
1962C4×D4—534no—
1963C4×D4—534no—
1964C4×D4—532no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—534no—
1968C4×D4—532no—
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—532no—
1979C4×D4—534no—
1980C4×D4—532no—
1981C4×D4—534no—
1982C4×D4—534no—
1983C4×D4—534no—
1984C4×D4—534no—
1985C4×D4—534no—
1986C4×D4—534no—
1987C4×D4—531no—
1988C4×D4—532no—
1989C4×D4—532no—
1990C4×D4—532no—
1991C4×D4—532no—
1992C4×D4—532no—
1993C4×D4—532no—
1994C4×D4—534no—
1995C4×D4—532no—
1996C4×D4—532no—
1997C4×D4—534no—
1998C4×D4—532no—
1999C4×D4—532no—
2000C4×D4—532no—
2001C4×D4—534no—
2002C4×D4—534no—
2003C4×D4—534no—
2004C4×D4—532no—
2005C4×D4—531no—
2006C4×D4C22×D5311yescharacteristic
2007C4×D4C22×D5311yescharacteristic
2008C4×D4C22×D5312yes—
2009C4×D4C22×D5311yescharacteristic
2010C4×D4C22×D5312yes—
2011C4×D4C22×D5311yescharacteristic
2012C4×D4C22×D5312yes—
2013C4×D4C22×D5312yes—
2014C4×D4C22×D5312yes—
2015C4×D4C22×D5311yescharacteristic
2016C4×D4C22×D5314yes—
2017C4×D4C22×D5314yes—
2018C4×D4C22×D5312yes—
2019C4×D4C22×D5312yes—
2020C4×D4C22×D5314yes—
2021#117—532no—
2022#117—532no—
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—532no—
2032#117—534no—
2033#117—534no—
2034#117—532no—
2035#117—534no—
2036#117—531no—
2037#117—532no—
2038#117—532no—
2039#117—531no—
2040#117—532no—
2041#117—532no—
2042#117—534no—
2043#117—532no—
2044#117—532no—
2045#117—532no—
2046#117—534no—
2047#117—534no—
2048#117—534no—
2049#117—534no—
2050#117—534no—
2051#117—534no—
2052#117—534no—
2053#117—534no—
2054#117—534no—
2055#117—534no—
2056#117—532no—
2057#117—532no—
2058#117—534no—
2059#117C22×D5312yes—
2060#117C22×D5312yes—
2061#117C22×D5312yes—
2062C2×C4⋊C4—532no—
2063C2×C4⋊C4—532no—
2064C2×C4⋊C4—532no—
2065C2×C4⋊C4—531no—
2066C2×C4⋊C4—532no—
2067C2×C4⋊C4—534no—
2068C2×C4⋊C4—532no—
2069C2×C4⋊C4—534no—
2070C2×C4⋊C4—534no—
2071C2×C4⋊C4—534no—
2072C2×C4⋊C4—532no—
2073C2×C4⋊C4—532no—
2074C2×C4⋊C4—534no—
2075C2×C4⋊C4—534no—
2076C2×C4⋊C4C22×D5311yescharacteristic
2077C2×C4⋊C4C22×D5312yes—
2078C2×C22⋊C4—532no—
2079C2×C22⋊C4—532no—
2080C2×C22⋊C4—532no—
2081C2×C22⋊C4—534no—
2082C2×C22⋊C4—534no—
2083C2×C22⋊C4—534no—
2084C2×C22⋊C4—534no—
2085C2×C22⋊C4—534no—
2086C2×C22⋊C4—532no—
2087C2×C22⋊C4C22×D5312yes—
2088C2×C22⋊C4C22×D5314yes—
2089C2×C22⋊C4C22×D5314yes—
2090C2×C42—531no—
2091C2×C42—532no—
2092C2×C42—532no—
2093C2×C42—534no—
2094C2×C42—531no—
2095C2×C42—531no—
2096C2×C42—532no—
2097C2×C42—531no—
2098C2×C42—531no—
2099C2×C42—531no—
2100C2×C42—531no—
2101C2×C42—531no—
2102C2×C42—531no—
2103C2×C42—531no—
2104C2×C42—531no—
2105C2×C42C22×D5311yescharacteristic
2106C24—531no—
2107C24C23×D5312yes—
2108C24C23×D5314yes—
2109#41—44no—
2110#41—44no—
2111#41—2124no—
2112#41—2124no—
2113#41—2124no—
2114#41—2128no—
2115#41—2122no—
2116#41—2124no—
2117#41—2124no—
2118#41—2124no—
2119#41—2124no—
2120#41—2122no—
2121C2×Q8—531no—
2122C2×Q8—531no—
2123C2×Q8—532no—
2124C2×Q8—532no—
2125C2×Q8—531no—
2126C2×Q8—534no—
2127C2×Q8—532no—
2128C2×Q8—532no—
2129C2×Q8—532no—
2130C2×Q8—534no—
2131C2×Q8—534no—
2132C2×Q8—2124no—
2133C2×Q8—2122no—
2134C2×Q8—2124no—
2135C2×Q8C23×D5311yescharacteristic
2136C2×Q8C23×D5312yes—
2137C2×D4—44no—
2138C2×D4—42no—
2139C2×D4—44no—
2140C2×D4—48no—
2141C2×D4—532no—
2142C2×D4—532no—
2143C2×D4—532no—
2144C2×D4—534no—
2145C2×D4—532no—
2146C2×D4—534no—
2147C2×D4—534no—
2148C2×D4—532no—
2149C2×D4—532no—
2150C2×D4—532no—
2151C2×D4—534no—
2152C2×D4—534no—
2153C2×D4—534no—
2154C2×D4—532no—
2155C2×D4—532no—
2156C2×D4—531no—
2157C2×D4—532no—
2158C2×D4—532no—
2159C2×D4—2124no—
2160C2×D4C23×D5314yes—
2161C2×D4C23×D5312yes—
2162C2×D4C23×D5311yescharacteristic
2163C2×D4C23×D5312yes—
2164C2×D4C23×D5312yes—
2165C2×D4C23×D5311yescharacteristic
2166C2×D4C23×D5311yescharacteristic
2167C2×D4C23×D5312yes—
2168C2×D4C23×D5314yes—
2169C2×D4C23×D5314yes—
2170C2×D4C23×D5314yes—
2171C2×D4C23×D5314yes—
2172C2×D4C23×D5312yes—
2173C2×D4C23×D5314yes—
2174C22×C4—44no—
2175C22×C4—531no—
2176C22×C4—532no—
2177C22×C4—531no—
2178C22×C4—531no—
2179C22×C4—532no—
2180C22×C4—532no—
2181C22×C4—532no—
2182C22×C4—534no—
2183C22×C4—534no—
2184C22×C4—534no—
2185C22×C4—534no—
2186C22×C4—534no—
2187C22×C4—534no—
2188C22×C4—534no—
2189C22×C4—531no—
2190C22×C4—531no—
2191C22×C4—531no—
2192C22×C4—531no—
2193C22×C4—532no—
2194C22×C4—531no—
2195C22×C4—531no—
2196C22×C4—531no—
2197C22×C4—531no—
2198C22×C4—531no—
2199C22×C4—531no—
2200C22×C4—531no—
2201C22×C4—531no—
2202C22×C4—532no—
2203C22×C4—532no—
2204C22×C4—534no—
2205C22×C4—534no—
2206C22×C4—2122no—
2207C22×C4—2122no—
2208C22×C4—2122no—
2209C22×C4C23×D5311yescharacteristic
2210C22×C4C23×D5311yescharacteristic
2211C22×C4C23×D5311yescharacteristic
2212C22×C4C23×D5312yes—
2213C22×C4C23×D5312yes—
2214C22×C4C23×D5312yes—
2215C22×C4C23×D5314yes—
2216C22×C4C23×D5312yes—
2217C22×C4C23×D5312yes—
2218C22×C4C23×D5314yes—
2219C22×C4C23×D5314yes—
2220C22×C4C23×D5312yes—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—532no—
2225C4⋊C4—531no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—532no—
2229C4⋊C4—531no—
2230C4⋊C4—532no—
2231C4⋊C4—532no—
2232C4⋊C4—534no—
2233C4⋊C4—534no—
2234C4⋊C4—534no—
2235C4⋊C4—534no—
2236C4⋊C4—532no—
2237C4⋊C4—532no—
2238C4⋊C4—532no—
2239C4⋊C4—532no—
2240C4⋊C4—534no—
2241C4⋊C4—534no—
2242C4⋊C4—534no—
2243C4⋊C4—531no—
2244C4⋊C4—532no—
2245C4⋊C4—532no—
2246C4⋊C4—532no—
2247C4⋊C4—532no—
2248C4⋊C4—532no—
2249C4⋊C4—532no—
2250C4⋊C4—532no—
2251C4⋊C4—534no—
2252C4⋊C4—534no—
2253C4⋊C4—534no—
2254C4⋊C4—534no—
2255C4⋊C4—534no—
2256C4⋊C4—532no—
2257C4⋊C4—532no—
2258C4⋊C4—532no—
2259C4⋊C4—531no—
2260C4⋊C4—532no—
2261C4⋊C4—532no—
2262C4⋊C4—534no—
2263C4⋊C4—534no—
2264C4⋊C4—534no—
2265C4⋊C4—532no—
2266C4⋊C4—532no—
2267C4⋊C4—532no—
2268C4⋊C4—534no—
2269C4⋊C4—534no—
2270C4⋊C4—532no—
2271C4⋊C4—534no—
2272C4⋊C4—532no—
2273C4⋊C4—532no—
2274C4⋊C4—532no—
2275C4⋊C4—532no—
2276C4⋊C4—534no—
2277C4⋊C4—534no—
2278C4⋊C4—534no—
2279C4⋊C4—534no—
2280C4⋊C4C23×D5311yescharacteristic
2281C4⋊C4C23×D5314yes—
2282C4⋊C4C23×D5312yes—
2283C4⋊C4C23×D5314yes—
2284C4⋊C4C23×D5311yescharacteristic
2285C4⋊C4C23×D5312yes—
2286C4⋊C4C23×D5311yescharacteristic
2287C4⋊C4C23×D5312yes—
2288C4⋊C4C23×D5311yescharacteristic
2289C4⋊C4C23×D5312yes—
2290C4⋊C4C23×D5312yes—
2291C4⋊C4C23×D5312yes—
2292C4⋊C4C23×D5312yes—
2293C22⋊C4—532no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—532no—
2297C22⋊C4—532no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—534no—
2301C22⋊C4—534no—
2302C22⋊C4—534no—
2303C22⋊C4—532no—
2304C22⋊C4—532no—
2305C22⋊C4—534no—
2306C22⋊C4—534no—
2307C22⋊C4—534no—
2308C22⋊C4—532no—
2309C22⋊C4—532no—
2310C22⋊C4—532no—
2311C22⋊C4—532no—
2312C22⋊C4—532no—
2313C22⋊C4—532no—
2314C22⋊C4—534no—
2315C22⋊C4—534no—
2316C22⋊C4—534no—
2317C22⋊C4—534no—
2318C22⋊C4—534no—
2319C22⋊C4—534no—
2320C22⋊C4—534no—
2321C22⋊C4—534no—
2322C22⋊C4—534no—
2323C22⋊C4—534no—
2324C22⋊C4—532no—
2325C22⋊C4—532no—
2326C22⋊C4—532no—
2327C22⋊C4—532no—
2328C22⋊C4—532no—
2329C22⋊C4—532no—
2330C22⋊C4—532no—
2331C22⋊C4—532no—
2332C22⋊C4—532no—
2333C22⋊C4—532no—
2334C22⋊C4—532no—
2335C22⋊C4—534no—
2336C22⋊C4—534no—
2337C22⋊C4—532no—
2338C22⋊C4—532no—
2339C22⋊C4—532no—
2340C22⋊C4—534no—
2341C22⋊C4—534no—
2342C22⋊C4C23×D5312yes—
2343C22⋊C4C23×D5312yes—
2344C22⋊C4C23×D5312yes—
2345C22⋊C4C23×D5314yes—
2346C22⋊C4C23×D5312yes—
2347C22⋊C4C23×D5314yes—
2348C22⋊C4C23×D5314yes—
2349C22⋊C4C23×D5312yes—
2350C22⋊C4C23×D5314yes—
2351C22⋊C4C23×D5312yes—
2352C22⋊C4C23×D5312yes—
2353C22⋊C4C23×D5314yes—
2354C22⋊C4C23×D5312yes—
2355C22⋊C4C23×D5312yes—
2356C22⋊C4C23×D5314yes—
2357C22⋊C4C23×D5314yes—
2358C42—531no—
2359C42—531no—
2360C42—531no—
2361C42—531no—
2362C42—531no—
2363C42—531no—
2364C42—531no—
2365C42—531no—
2366C42—531no—
2367C42—531no—
2368C42—531no—
2369C42—531no—
2370C42—532no—
2371C42—532no—
2372C42—532no—
2373C42—534no—
2374C42—534no—
2375C42—534no—
2376C42—532no—
2377C42—532no—
2378C42—532no—
2379C42—532no—
2380C42—532no—
2381C42—532no—
2382C42—534no—
2383C42—534no—
2384C42—534no—
2385C42—534no—
2386C42—534no—
2387C42C23×D5311yescharacteristic
2388C42C23×D5311yescharacteristic
2389C42C23×D5311yescharacteristic
2390C42C23×D5311yescharacteristic
2391C42C23×D5312yes—
2392C42C23×D5314yes—
2393C23—24no—
2394C23—42no—
2395C23—42no—
2396C23—44no—
2397C23—44no—
2398C23—44no—
2399C23—531no—
2400C23—531no—
2401C23—532no—
2402C23—1062no—
2403C23—2121no—
2404C23—2121no—
2405C23C24×D5312yes—
2406C23C24×D5312yes—
2407C23C24×D5312yes—
2408C23C24×D5314yes—
2409C23C24×D5311yescharacteristic
2410Q8—22no—
2411Q8—42no—
2412Q8—1062no—
2413Q8—1064no—
2414Q8—1062no—
2415Q8—1064no—
2416Q8—1062no—
2417Q8—2124no—
2418Q8—2122no—
2419Q8—2124no—
2420Q8—2122no—
2421Q8—2124no—
2422Q8—2122no—
2423D4—24no—
2424D4—28no—
2425D4—22no—
2426D4—24no—
2427D4—22no—
2428D4—22no—
2429D4—24no—
2430D4—44no—
2431D4—44no—
2432D4—44no—
2433D4—42no—
2434D4—44no—
2435D4—42no—
2436D4—44no—
2437D4—1064no—
2438D4—1062no—
2439D4—2122no—
2440D4—2122no—
2441D4—2122no—
2442D4—2122no—
2443D4—2122no—
2444D4—2122no—
2445D4—2122no—
2446D4—2124no—
2447D4—2124no—
2448D4—2124no—
2449D4—2122no—
2450D4—2122no—
2451D4—2122no—
2452D4—2124no—
2453D4—2124no—
2454D4—2124no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—24no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—24no—
2461C2×C4—42no—
2462C2×C4—42no—
2463C2×C4—42no—
2464C2×C4—44no—
2465C2×C4—44no—
2466C2×C4—44no—
2467C2×C4—531no—
2468C2×C4—531no—
2469C2×C4—531no—
2470C2×C4—531no—
2471C2×C4—532no—
2472C2×C4—532no—
2473C2×C4—532no—
2474C2×C4—532no—
2475C2×C4—531no—
2476C2×C4—534no—
2477C2×C4—531no—
2478C2×C4—532no—
2479C2×C4—534no—
2480C2×C4—532no—
2481C2×C4—532no—
2482C2×C4—1062no—
2483C2×C4—1064no—
2484C2×C4—1062no—
2485C2×C4—1062no—
2486C2×C4—1062no—
2487C2×C4—1062no—
2488C2×C4—1064no—
2489C2×C4—2121no—
2490C2×C4—2121no—
2491C2×C4—2121no—
2492C2×C4—2121no—
2493C2×C4—2121no—
2494C2×C4—2121no—
2495C2×C4—2121no—
2496C2×C4—2121no—
2497C2×C4—2124no—
2498C2×C4—2122no—
2499C2×C4—2124no—
2500C2×C4—2122no—
2501C2×C4—2121no—
2502C2×C4—2121no—
2503C2×C4—2124no—
2504C2×C4—2122no—
2505C2×C4—2124no—
2506C2×C4—2122no—
2507C2×C4—2124no—
2508C2×C4—2122no—
2509C2×C4—2124no—
2510C2×C4—2124no—
2511C2×C4—2124no—
2512C2×C4—2124no—
2513C2×C4C24×D5311yescharacteristic
2514C2×C4C24×D5311yescharacteristic
2515C2×C4C24×D5312yes—
2516C2×C4C24×D5314yes—
2517C2×C4C24×D5312yes—
2518C2×C4C24×D5312yes—
2519C2×C4C24×D5311yescharacteristic
2520C2×C4C24×D5311yescharacteristic
2521C2×C4C24×D5312yes—
2522C2×C4C24×D5312yes—
2523C2×C4C24×D5311yescharacteristic
2524C2×C4C24×D5311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—22no—
2529C22—22no—
2530C22—24no—
2531C22—24no—
2532C22—22no—
2533C22—22no—
2534C22—22no—
2535C22—22no—
2536C22—22no—
2537C22—24no—
2538C22—22no—
2539C22—84no—
2540C22—164no—
2541C22—1061no—
2542C22—1061no—
2543C22—1062no—
2544C22—1062no—
2545C22—1061no—
2546C22—1061no—
2547C22—1061no—
2548C22—1061no—
2549C22—1062no—
2550C22—2124no—
2551C22#1681145812yes—
2552C22C25×D5311yescharacteristic
2553C4—21no—
2554C4—21no—
2555C4—22no—
2556C4—22no—
2557C4—21no—
2558C4—22no—
2559C4—24no—
2560C4—22no—
2561C4—21no—
2562C4—22no—
2563C4—1061no—
2564C4—1061no—
2565C4—1061no—
2566C4—1062no—
2567C4—1061no—
2568C4—1062no—
2569C4—1062no—
2570C4—1064no—
2571C4—1062no—
2572C4—1061no—
2573C4—1062no—
2574C4—1061no—
2575C4—1062no—
2576C4—1064no—
2577C4—1062no—
2578C4#1681145812yes—
2579C4#1681145912yes—
2580C2—22no—
2581C2—42no—
2582C2—42no—
2583C2—42no—
2584C2—44no—
2585C2—2121no—
2586C2—2121no—
2587C2—2122no—
2588C2C2×#1681145811yescharacteristic
2589C2C2×#1681145811yescharacteristic
2590C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3519C2
hypercenter#3519D53
hypocenterC53#62827
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. #20289382C2semidirect
2. #20289370C2semidirect
3. #20289350C2semidirect
4. #20289293C2semidirect
5. #20289206C2semidirect
6. #20289182C2semidirect
7. #20289107C2semidirect
8. #20289083C2semidirect
9. #20289036C2semidirect
10. #20289002C2semidirect
11. #20288874C2semidirect
12. #20288823C2semidirect
13. #20288818C2semidirect
14. #20288809C2semidirect
15. #20288792C2semidirect
16. #20288772C2semidirect
17. #20288771C2semidirect
18. #20288768C2semidirect
19. #20288764C2semidirect
20. #20288731C2semidirect
21. #20288716C2semidirect
22. #20288696C2semidirect
23. #20288686C2semidirect
24. #20288667C2semidirect
25. #20288667C2semidirect
26. #20288634C2semidirect
27. #20288606C2semidirect
28. #20288558C2semidirect
29. #20288549C2semidirect
30. #20288469C2semidirect
31. #20288444C2semidirect
32. #20288010C2semidirect
33. #20288009C2semidirect
34. C2×#16811155C2semidirect
35. C53×#3519C2semidirect
36. #16811375C22semidirect
37. #16811374C22semidirect
38. #16811370C22semidirect
39. #16811368C22semidirect
40. #16811368C22semidirect
41. #16811367C22semidirect
42. #16811362C22semidirect
43. #16811362C22semidirect
44. #16811359C22semidirect
45. #16811359C22semidirect
46. #16811357C22semidirect
47. #16811356C22semidirect
48. #16811356C22semidirect
49. #16811356C22semidirect
50. #16811353C22semidirect
51. #16811352C22semidirect
52. #16811351C22semidirect
53. #16811350C22semidirect
54. #16811350C22semidirect
55. #16811344C22semidirect
56. #16811343C22semidirect
57. #16811343C22semidirect
58. #16811343C22semidirect
59. #16811343C22semidirect
60. #16811343C22semidirect
61. #16811342C22semidirect
62. #16811342C22semidirect
63. #16811341C22semidirect
64. #16811341C22semidirect
65. #16811337C22semidirect
66. #16811337C22semidirect
67. #16811337C22semidirect
68. #16811337C22semidirect
69. #16811336C22semidirect
70. #16811334C22semidirect
71. #16811332C22semidirect
72. #16811332C22semidirect
73. #16811330C22semidirect
74. #16811328C22semidirect
75. #16811325C22semidirect
76. #16811325C22semidirect
77. #16811325C22semidirect
78. #16811325C22semidirect
80. #16811322C22semidirect
81. #16811320C22semidirect
82. #16811320C22semidirect
83. #16811320C22semidirect
84. #16811318C22semidirect
85. #16811318C22semidirect
86. #16811316C22semidirect
87. #16811316C22semidirect
88. #16811316C22semidirect
89. #16811313C22semidirect
90. #16811313C22semidirect
91. #16811313C22semidirect
92. #16811313C22semidirect
93. #16811312C22semidirect
94. #16811311C22semidirect
95. #16811310C22semidirect
96. #16811310C22semidirect
97. #16811310C22semidirect
98. #16811310C22semidirect
99. #16811310C22semidirect
100. #16811309C22semidirect
101. #16811308C22semidirect
102. #16811308C22semidirect
103. #16811307C22semidirect
104. #16811304C22semidirect
105. #16811304C22semidirect
106. #16811304C22semidirect
107. #16811304C22semidirect
108. #16811299C22semidirect
109. #16811299C22semidirect
110. #16811299C22semidirect
111. #16811299C22semidirect
112. #16811299C22semidirect
113. #16811299C22semidirect
114. #16811299C22semidirect
115. #16811293C22semidirect
116. #16811293C22semidirect
117. #16811292C22semidirect
118. #16811291C22semidirect
119. D4×Dic106C22semidirect
120. D4×Dic106C22semidirect
121. D4×Dic106C22semidirect
122. #16811282C22semidirect
123. #16811279C22semidirect
124. #16811279C22semidirect
125. #16811279C22semidirect
126. #16811279C22semidirect
127. #16811279C22semidirect
128. #16811278C22semidirect
129. #16811277C22semidirect
130. #16811277C22semidirect
131. #16811275C22semidirect
132. #16811273C22semidirect
133. #16811273C22semidirect
134. #16811272C22semidirect
135. #16811272C22semidirect
138. #16811267C22semidirect
139. #16811267C22semidirect
140. #16811267C22semidirect
141. #16811267C22semidirect
142. #16811267C22semidirect
143. #16811254C22semidirect
144. #16811251C22semidirect
145. #16811242C22semidirect
146. #16811241C22semidirect
147. #16811240C22semidirect
148. #16811240C22semidirect
149. #16811240C22semidirect
150. #16811240C22semidirect
151. #16811240C22semidirect
152. #16811239C22semidirect
154. #16811238C22semidirect
155. #16811238C22semidirect
156. #16811238C22semidirect
157. #16811237C22semidirect
158. #16811237C22semidirect
159. #16811236C22semidirect
160. #16811235C22semidirect
161. #16811233C22semidirect
162. #16811233C22semidirect
163. #16811233C22semidirect
164. #16811230C22semidirect
165. #16811230C22semidirect
166. #16811227C22semidirect
167. #16811226C22semidirect
168. #16811226C22semidirect
169. #16811226C22semidirect
170. #16811223C22semidirect
171. #16811223C22semidirect
172. #16811219C22semidirect
173. #16811218C22semidirect
174. #16811218C22semidirect
175. #16811217C22semidirect
176. #16811216C22semidirect
177. #16811215C22semidirect
178. #16811215C22semidirect
179. #16811211C22semidirect
180. #16811210C22semidirect
181. #16811208C22semidirect
182. #16811208C22semidirect
183. #16811208C22semidirect
184. #16811208C22semidirect
185. #16811208C22semidirect
186. #16811206C22semidirect
187. #16811202C22semidirect
188. #16811202C22semidirect
189. #16811199C22semidirect
190. #16811194C22semidirect
192. #16811190C22semidirect
193. #16811188C22semidirect
194. #16811182C22semidirect
195. #16811180C22semidirect
196. #16811179C22semidirect
197. #16811178C22semidirect
198. #16811178C22semidirect
199. #16811177C22semidirect
200. #16811176C22semidirect
201. #16811175C22semidirect
202. #16811175C22semidirect
203. #16811172C22semidirect
204. #16811171C22semidirect
205. #16811171C22semidirect
206. #16811171C22semidirect
207. #16811170C22semidirect
209. #16811168C22semidirect
210. #16811158C22semidirect
211. #16811157C22semidirect
212. #16811156C22semidirect
213. #16811156C22semidirect
218. #16811155C22semidirect
219. #16811155C22semidirect
220. #16811155C22semidirect
221. #16811155C22semidirect
222. #16811155C22semidirect
223. #16811155C22semidirect
224. #16811155C22semidirect
225. #16811155C22semidirect
226. #16811155C22semidirect
227. #16811155C22semidirect
228. #16811155C22semidirect
229. #16811155C22semidirect
231. #16811154C22semidirect
232. #16811154C22semidirect
233. #16811154C22semidirect
234. #16811154C22semidirect
235. #16811154C22semidirect
236. #16811154C22semidirect
237. #16811153C22semidirect
238. #16811152C22semidirect
239. #16811152C22semidirect
240. #16811152C22semidirect
241. #16811151C22semidirect
242. #16811150C22semidirect
243. #16811150C22semidirect
244. C2×#13133210C22semidirect
245. C2×#13133210C22semidirect
246. C2×#13133208C22semidirect
247. #125×D53C22semidirect
249. C2×#13133204C22semidirect
250. #16811136C22semidirect
251. #16811134C22semidirect
253. #16811133C22semidirect
254. #16811133C22semidirect
255. #16811132C22semidirect
256. #16811131C22semidirect
257. #16811130C22semidirect
258. C2×#13133199C22semidirect
259. C2×#13133197C22semidirect
260. C2×#13133196C22semidirect
262. #16811106C22semidirect
263. #16811104C22semidirect
264. #16811102C22semidirect
265. #16811102C22semidirect
266. #16811102C22semidirect
267. #16811100C22semidirect
268. #16811100C22semidirect
269. #16811098C22semidirect
270. #16811098C22semidirect
271. #41×Dic53C22semidirect
272. C4×#11719949C22semidirect
273. #16811091C22semidirect
274. C4×#11719947C22semidirect
275. C4×#11719947C22semidirect
276. C4×#11719947C22semidirect
277. C4×#11719947C22semidirect
278. C2×C4×Dic106C22semidirect
279. C2×C4×C22⋊D53C22semidirect
280. C2×#13133176C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#555C22semidirect
283. C53×#554C22semidirect
285. C53×#553C22semidirect
286. C53×#550C22semidirect
288. C53×#546C22semidirect
290. D42×C53C22semidirect
291. C53×#540C22semidirect
292. C53×#538C22semidirect
297. C53×#518C22semidirect
1304. #3519D53semidirect
1365. #555C2×D53semidirect
1371. #554C2×D53semidirect
1387. #553C2×D53semidirect
1418. #550C2×D53semidirect
1444. #546C2×D53semidirect
1446. D42C2×D53semidirect
1476. #540C2×D53semidirect
1492. #538C2×D53semidirect
1581. #518C2×D53semidirect
1594. C53#62827semidirect

Maximal subgroups

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

subgroupindex
#202893822
#202893702
#202893502
#202892932
#202892062
#202891822
#202891072
#202890832
#202890362
#202890022
#202888742
#202888232
#202888182
#202888092
#202887922
#202887722
#202887712
#202887682
#202887642
#202887312
#202887162
#202886962
#202886862
#202886672
#202886342
#202886062
#202885582
#202885492
#202884692
#202884442
#202880102
#202880092
C2×#168111552
C53×#35192
#6282753