Finite Group Databasebeta

← #15662070

Subgroups — #15662070

Order 2816.

7190 conjugacy classes of subgroups.

The subgroup lattice has 2038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082725C211yesmaximal, characteristic, complemented
2#13082721C213yesmaximal, complemented
3#13082715C213yesmaximal, complemented
4#13082629C213yesmaximal, complemented
5#13082627C211yesmaximal, characteristic, complemented
6#13082618C213yesmaximal, complemented
7#13082616C211yesmaximal, characteristic, complemented
8#13082464C213yesmaximal, complemented
9#13082462C213yesmaximal, complemented
10#13082423C211yesmaximal, characteristic, complemented
11#13082384C211yesmaximal, characteristic, complemented
12#13082334C213yesmaximal, complemented
13#13082327C213yesmaximal, complemented
14#13082273C211yesmaximal, characteristic, complemented
15#13082269C211yesmaximal, characteristic, complemented
16#13082241C213yesmaximal, complemented
17#13082239C211yesmaximal, characteristic, complemented
18#13082232C211yesmaximal, characteristic, complemented
19#13082230C213yesmaximal, complemented
20#13082216C211yesmaximal, characteristic, complemented
21#13082212C213yesmaximal, complemented
22#13082210C213yesmaximal, complemented
23#13082206C211yesmaximal, characteristic, complemented
24#13082036C213yesmaximal, complemented
25#13082031C213yesmaximal, complemented
26#13081910C213yesmaximal, complemented
27#13081910C213yesmaximal, complemented
28#13081827C211yesmaximal, characteristic, complemented
29#13081825C211yesmaximal, characteristic, complemented
30C4×#41×D11C211yesmaximal, characteristic, complemented
31C11×#3524C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×#67040C2211yescharacteristic
35C11×#559C2213yescomplemented
36C11×#557C2211yescharacteristic, complemented
37C11×#555C2213yescomplemented
38C11×#553C2213yescomplemented
39C11×#552C2213yescomplemented
40C11×#550C2211yescharacteristic
41C11×#548C2211yescharacteristic
42C11×#548C2211yescharacteristic, complemented
43C11×#542C2213yescomplemented
44C11×#540C2213yescomplemented
45C11×#529C2213yescomplemented
46C11×#529C2213yescomplemented
47C11×#520C2211yescharacteristic, complemented
48C11×#519C2211yescharacteristic, complemented
49C4×C11×#41C2211yescharacteristic
50#10623365C2211yescharacteristic
51#10623365C2211yescharacteristic
52#10623365C2211yescharacteristic, complemented
53#10623362C2211yescharacteristic
54#41×Dic11C2211yescharacteristic
55#41×Dic11C2211yescharacteristic, complemented
56#10623348C2211yescharacteristic
57Q8×C22⋊D11C2211yescharacteristic, complemented
58C2×Q8×Dic11C2211yescharacteristic, complemented
59#10623263C2213yescomplemented
60#10623260C2213yes—
61#10623256C2213yescomplemented
62#10623253C2213yescomplemented
63#10623249C2213yes—
64#10623249C2213yescomplemented
65#10623247C2213yescomplemented
66#10623246C2213yes—
67#10623237C2211yescharacteristic
68#10623237C2213yes—
69#10623237C2213yescomplemented
70#10623237C2216yescomplemented
71#10623237C2213yescomplemented
72#10623237C2216yescomplemented
73#10623235C2216yes—
74#10623233C2216yescomplemented
75#10623233C2216yescomplemented
76#10623226C2213yescomplemented
77#10623226C2213yescomplemented
78#10623224C2216yescomplemented
79#10623222C2213yes—
80#10623222C2213yescomplemented
81#10623222C2213yescomplemented
82#10623220C2213yes—
83#10623219C2213yes—
84#10623219C2213yescomplemented
85#10623216C2213yescomplemented
86#10623216C2213yescomplemented
87#10623212C2213yescomplemented
88#10623211C2213yes—
89#10623211C2213yescomplemented
90#10623211C2213yescomplemented
91#10623209C2216yes—
92#10623208C2213yes—
93#10623208C2213yescomplemented
94#10623205C2213yes—
95#10623202C2213yescomplemented
96#10623202C2216yescomplemented
97#10623201C2216yescomplemented
98#10623201C2216yescomplemented
99#10623199C2213yes—
100#10623199C2213yescomplemented
101#10623199C2216yescomplemented
102#10623195C2216yescomplemented
103#10623194C2216yescomplemented
104#10623193C2216yescomplemented
105#10623192C2216yescomplemented
106#10623192C2216yescomplemented
107#10623188C2216yes—
108#10623187C2213yes—
109#10623187C2213yes—
110#10623187C2216yes—
111#10623186C2216yescomplemented
112#10623180C2216yescomplemented
113#10623180C2213yescomplemented
114#10623180C2213yescomplemented
115#10623180C2216yescomplemented
116#10623172C2213yescomplemented
117#10623171C2216yescomplemented
118#10623170C2213yescomplemented
119#10623164C2213yes—
120#10623163C2213yescomplemented
121#10623160C2213yes—
122#10623158C2213yes—
123#10623158C2213yes—
124#10623155C2213yescomplemented
125#10623153C2213yescomplemented
126#10623153C2213yescomplemented
127#10623149C2213yescomplemented
128#10623147C2213yescomplemented
129#10623147C2213yescomplemented
130#10623146C2216yescomplemented
131#10623144C2216yes—
132#10623142C2213yescomplemented
133#10623139C2213yes—
134#10623138C2213yes—
135#10623138C2213yes—
136#10623137C2213yes—
137#10623137C2213yes—
138#10623132C2216yescomplemented
139#10623131C2213yescomplemented
140#10623130C2213yes—
141#10623130C2213yes—
142#10623130C2213yescomplemented
143#10623130C2216yescomplemented
144#10623129C2213yes—
145#10623127C2213yescomplemented
146#10623127C2213yescomplemented
147#10623127C2213yescomplemented
148#10623127C2213yescomplemented
149#10623127C2216yescomplemented
150#10623116C2213yescomplemented
151#10623115C2213yescomplemented
152#10623113C2213yescomplemented
153#10623109C2213yes—
154#10623109C2213yescomplemented
155#10623108C2211yescharacteristic
156#10623107C2211yescharacteristic
157#10623107C2211yescharacteristic, complemented
158#10623105C2213yes—
159#10623105C2211yescharacteristic, complemented
160C4×#4343C2211yescharacteristic
161C4×#4343C2213yes—
162C4×#4343C2211yescharacteristic
163C4×#4343C2213yescomplemented
164C4×#4343C2211yescharacteristic, complemented
165#10623103C2211yescharacteristic
166#10623103C2211yescharacteristic
167#10623103C2211yescharacteristic, complemented
168#10623103C2213yescomplemented
169C4×Q8×D11C2211yescharacteristic
170C4×Q8×D11C2211yescharacteristic
171C4×Q8×D11C2213yescomplemented
172C4×Q8×D11C2211yescharacteristic, complemented
173#10623100C2211yescharacteristic, complemented
174#10623100C2211yescharacteristic, complemented
175#10623099C2213yescomplemented
176#10623098C2213yescomplemented
177Q8×Dic22C2211yescharacteristic, complemented
178#10623096C2213yescomplemented
179#10623094C2213yescomplemented
180#10623093C2213yescomplemented
181#10623093C2213yescomplemented
182#10623092C2213yescomplemented
183#10623090C2216yescomplemented
184#10623090C2213yescomplemented
185#10623089C2213yescomplemented
186#10623089C2213yescomplemented
187#10623084C2213yes—
188#10623084C2213yescomplemented
189#10623083C2213yes—
190#10623083C2213yescomplemented
191#10623079C2213yes—
192#10623079C2213yescomplemented
193#10623078C2216yes—
194#10623078C2213yes—
195#10623078C2213yes—
196#10623077C2213yes—
197#10623077C2213yescomplemented
198C4×D4×D11C2213yes—
199C4×D4×D11C2213yes—
200#10623072C2213yescomplemented
201#10623071C2216yescomplemented
202C4×#4341C2213yes—
203C4×#4341C2213yes—
204C4×#4341C2213yes—
205C4×#4341C2213yescomplemented
206C4×#4341C2216yescomplemented
207C4×#4341C2213yescomplemented
208C4×#4341C2213yescomplemented
209C4×#4341C2213yescomplemented
210#10623066C2213yescomplemented
211#10623065C2213yescomplemented
212#10623064C2213yescomplemented
213#10623063C2213yescomplemented
214#10623063C2216yescomplemented
215#10623063C2213yescomplemented
216#10623062C2216yescomplemented
217#10623060C2213yescomplemented
218#10623059C2216yes—
219#10623059C2213yescomplemented
220#10623059C2213yescomplemented
221#10623054C2213yes—
222#10623054C2213yescomplemented
223#10623053C2213yes—
224#10623053C2213yes—
225#10623053C2213yes—
226#10623053C2216yescomplemented
227#10623053C2213yescomplemented
228D11×#117C2213yes—
229#10623047C2213yescomplemented
230#10623045C2213yescomplemented
231#10623038C2213yescomplemented
232#10623035C2213yes—
233C2×#66940C2213yescomplemented
234#10623010C2213yescomplemented
235#10623010C2213yescomplemented
236C4×#4339C2213yes—
237C2×C42×D11C2213yes—
238C2×C11×#41C2311yescharacteristic
239C2×C11×#41C2311yescharacteristic
240C22×Q8×C11C2311yescharacteristic
241#67043—28no—
242#41×D11—28no—
243#67040—28no—
244C2×#4343C2311yescharacteristic
245C2×#4343C2313yes—
246C2×#4343C2311yescharacteristic
247C2×#4343C2313yes—
248C2×Q8×D11C2311yescharacteristic
249C2×Q8×D11C2313yes—
250C2×Q8×D11C2311yescharacteristic
251C2×#4341C2313yes—
252C2×#4341C2313yes—
253C2×#4341C2313yes—
254C2×#4341C2316yes—
255C2×#4341C2313yes—
256C2×#4341C2313yes—
257C2×#4341C2313yes—
258C2×D4×D11C2313yes—
259C2×#4339C2313yes—
260C2×#4339C2313yes—
261C2×#4339C2313yes—
262C2×#4339C2313yes—
263C2×#4339C2316yes—
264C22×C4×D11C2313yes—
265C22×C4×D11C2313yes—
266C22×C4×D11C2313yes—
267C22×Dic22C2313yes—
268C11×C4⋊Q8C2313yes—
269C11×#127C2313yes—
270C11×#126C2316yes—
271C11×#126C2311yescharacteristic
272C11×#126C2313yes—
273C11×#125C2313yes—
274C11×#125C2313yes—
275C11×#125C2313yes—
276C11×#124C2313yes—
277C11×#124C2313yes—
278C11×#124C2313yes—
279C11×#124C2316yes—
280C11×#123C2316yes—
281C11×#123C2313yes—
282C11×#123C2313yes—
283C11×#123C2316yes—
284C11×C22⋊Q8C2313yes—
285C11×C22⋊Q8C2313yes—
286C11×C22⋊Q8C2313yes—
287C11×#121C2313yes—
288C11×#121C2313yes—
289C11×#121C2316yes—
290C11×#121C2313yes—
291C11×#121C2313yes—
292C11×#121C2313yes—
293C4×Q8×C11C2311yescharacteristic
294C4×Q8×C11C2313yes—
295C4×Q8×C11C2313yes—
296C4×Q8×C11C2311yescharacteristic
297C4×Q8×C11C2311yescharacteristic
298C4×Q8×C11C2311yescharacteristic
299C4×Q8×C11C2313yes—
300C4×D4×C11C2313yes—
301C4×D4×C11C2313yes—
302C4×D4×C11C2313yes—
303C4×D4×C11C2316yes—
304C4×D4×C11C2313yes—
305C4×D4×C11C2313yes—
306C4×D4×C11C2313yes—
307C4×D4×C11C2313yes—
308C11×#117C2313yes—
309C11×#117C2313yes—
310C11×#117C2313yes—
311C11×#117C2313yes—
312C11×#117C2316yes—
313C2×C11×C4⋊C4C2313yes—
314C2×C42×C11C2313yes—
315#67000C2316yes—
316#67000C2313yes—
317#66999C2313yes—
318#66999C2313yes—
319#66999C2313yes—
320Q8×Dic11C2313yes—
321Q8×Dic11C2311yescharacteristic
322Q8×Dic11C2311yescharacteristic
323Q8×Dic11C2313yes—
324Q8×Dic11C2313yes—
325Q8×Dic11C2311yescharacteristic
326Q8×Dic11C2311yescharacteristic
327#66997C2313yes—
328#66997C2316yes—
329#66997C2313yes—
330#66993C2313yes—
331#66993C2316yes—
332#66993C2313yes—
333#66993C2313yes—
334#66993C2313yes—
335#66993C2316yes—
336#66992C2316yes—
337#66992C2316yes—
338#66992C2313yes—
339#66992C2316yes—
340#66992C2316yes—
341#66992C2313yes—
342#66992C2316yes—
343#66992C2316yes—
344#66991C2316yes—
345#66991C2313yes—
346#66991C2313yes—
347#66991C2313yes—
348#66991C2313yes—
349#66991C2313yes—
350#66990C2313yes—
351#66990C2316yes—
352#66990C2313yes—
353#66989C2313yes—
354#66989C2316yes—
355#66988C2316yes—
356D4×Dic11C2313yes—
357D4×Dic11C2313yes—
358D4×Dic11C2313yes—
359D4×Dic11C2316yes—
360D4×Dic11C2313yes—
361D4×Dic11C2313yes—
362D4×Dic11C2313yes—
363D4×Dic11C2313yes—
364#66983C2313yes—
365#66983C2313yes—
366#66983C2313yes—
367#66983C2316yes—
368#66983C2313yes—
369#66983C2313yes—
370#66982C2313yes—
371#66982C2313yes—
372#66982C2316yes—
373#66982C2316yes—
374C4×C22⋊D11C2316yes—
375C4×C22⋊D11C2316yes—
376C4×C22⋊D11C2313yes—
377C4×C22⋊D11C2313yes—
378C4×C22⋊D11C2316yes—
379C4×C22⋊D11C2316yes—
380C4×C22⋊D11C2316yes—
381C4×C22⋊D11C2313yes—
382C4×C22⋊D11C2316yes—
383C4×C22⋊D11C2313yes—
384C4×C22⋊D11C2313yes—
385C4×C22⋊D11C2313yes—
386#66979C2313yes—
387#66979C2313yes—
388C2×C4⋊Dic11C2313yes—
389#66977C2313yes—
390#66977C2313yes—
391#66977C2313yes—
392C2×Dic11⋊C4C2316yes—
393C2×C4×Dic11C2313yes—
394C2×C4×Dic11C2313yes—
395C2×C4×Dic11C2313yes—
396C2×C4×Dic11C2313yes—
397C2×C4×Dic11C2316yes—
398C2×C4×Dic11C2313yes—
399#66951C2313yes—
400#66951C2316yes—
401#66951C2316yes—
402#66951C2316yes—
403#66951C2313yes—
404#66951C2316yes—
405#66950C2313yes—
406#66950C2313yes—
407#66950C2313yes—
408#66949C2313yes—
409#66949C2316yes—
410#66949C2316yes—
411#66949C2313yes—
412#66949C2311yescharacteristic
413#66949C2313yes—
414#66949C2316yes—
415#66949C2313yes—
416#66949C2313yes—
417#66948C2313yes—
418#66948C2316yes—
419#66948C2313yes—
420#66948C2313yes—
421#66948C2313yes—
422#66948C2313yes—
423#66947C2316yes—
424#66947C2313yes—
425#66947C2311yescharacteristic
426#66947C2313yes—
427#66947C2313yes—
428#66947C2316yes—
429#66947C2316yes—
430#66946C2313yes—
431#66946C2311yescharacteristic
432#66946C2313yes—
433#66946C2316yes—
434#66946C2316yes—
435#66946C2313yes—
436#66946C2313yes—
437#66946C2313yes—
438#66946C2313yes—
439#66946C2313yes—
440#66946C2313yes—
441#66946C2313yes—
442#66946C2313yes—
443#66945C2313yes—
444#66945C2311yescharacteristic
445#66945C2313yes—
446#66945C2316yes—
447#66945C2313yes—
448#66945C2313yes—
449#66945C2313yes—
450#66945C2313yes—
451#66945C2313yes—
452#66945C2313yes—
453#66945C2313yes—
454#66945C2313yes—
455#66945C2313yes—
456C4⋊C4×D11C2313yes—
457C4⋊C4×D11C2313yes—
458C4⋊C4×D11C2313yes—
459C4⋊C4×D11C2313yes—
460C4⋊C4×D11C2316yes—
461#66943C2313yes—
462#66943C2313yes—
463#66942C2311yescharacteristic
464#66942C2313yes—
465#66942C2316yes—
466#66942C2316yes—
467#66942C2313yes—
468#66942C2313yes—
469#66942C2316yes—
470#66941C2313yes—
471#66941C2316yes—
472#66941C2313yes—
473#66941C2313yes—
474#66941C2313yes—
475#66941C2313yes—
476#66941C2313yes—
477#66940C2316yes—
478#66940C2313yes—
479#66940C2316yes—
480#66940C2313yes—
481#66940C2311yescharacteristic
482#66940C2313yes—
483#66940C2313yes—
484#66940C2313yes—
485#66940C2316yes—
486#66940C2313yes—
487#66940C2313yes—
488#66940C2313yes—
489#66940C2313yes—
490#66940C2313yes—
491#66940C2313yes—
492#66940C2313yes—
493#66939C2316yes—
494#66938C2316yes—
495#66938C2316yes—
496#66938C2316yes—
497#66938C2316yes—
498#66938C2311yescharacteristic
499#66938C2313yes—
500#66938C2316yes—
501#66938C2313yes—
502#66938C2313yes—
503#66938C2316yes—
504#66938C2316yes—
505#66937C2316yes—
506#66937C2313yes—
507#66937C2311yescharacteristic
508#66937C2313yes—
509#66937C2316yes—
510#66937C2316yes—
511#66937C2313yes—
512#66937C2316yes—
513#66937C2313yes—
514#66937C2313yes—
515#66937C2316yes—
516#66937C2316yes—
517#66937C2316yes—
518#66936C2316yes—
519#66936C2313yes—
520#66936C2311yescharacteristic
521#66936C2313yes—
522#66936C2313yes—
523#66936C2316yes—
524#66936C2316yes—
525#66935C2313yes—
526#66935C2316yes—
527#66935C2313yes—
528(C22⋊D11)⋊C4C2316yes—
529(C22⋊D11)⋊C4C2316yes—
530(C22⋊D11)⋊C4C2311yescharacteristic
531(C22⋊D11)⋊C4C2313yes—
532(C22⋊D11)⋊C4C2313yes—
533(C22⋊D11)⋊C4C2311yescharacteristic
534(C22⋊D11)⋊C4C2313yes—
535(C22⋊D11)⋊C4C2313yes—
536(C22⋊D11)⋊C4C2316yes—
537(C22⋊D11)⋊C4C2313yes—
538(C22⋊D11)⋊C4C2316yes—
539(C22⋊D11)⋊C4C2313yes—
540(C22⋊D11)⋊C4C2316yes—
541(C22⋊D11)⋊C4C2313yes—
542(C22⋊D11)⋊C4C2313yes—
543(C22⋊D11)⋊C4C2313yes—
544(C22⋊D11)⋊C4C2313yes—
545(C22⋊D11)⋊C4C2313yes—
546(C22⋊D11)⋊C4C2316yes—
547(C22⋊D11)⋊C4C2316yes—
548(C22⋊D11)⋊C4C2316yes—
549(C22⋊D11)⋊C4C2313yes—
550C22⋊C4×D11C2316yes—
551#66932C2316yes—
552#66932C2316yes—
553#66932C2316yes—
554#66932C2313yes—
555#66932C2313yes—
556#66932C2316yes—
557#66931C2313yes—
558#66931C2316yes—
559#66931C2316yes—
560#66931C2313yes—
561#66930C2313yes—
562#66930C2316yes—
563#66930C2311yescharacteristic
564#66930C2313yes—
565#66930C2316yes—
566#66930C2313yes—
567#66930C2313yes—
568#66930C2316yes—
569#66930C2316yes—
570#66930C2313yes—
571#66929C2311yescharacteristic
572#66929C2313yes—
573#66929C2316yes—
574#66928C2316yes—
575#66928C2313yes—
576#66928C2313yes—
577#66928C2313yes—
578#66927C2313yes—
579C4×D44C2316yes—
580C4×D44C2313yes—
581C4×D44C2313yes—
582C4×D44C2313yes—
583C4×D44C2313yes—
584C4×D44C2313yes—
585C4×D44C2313yes—
586C4×D44C2313yes—
587#66925C2316yes—
588#66925C2316yes—
589#66925C2313yes—
590#66925C2313yes—
591#66925C2316yes—
592#66925C2313yes—
593#66925C2313yes—
594#66925C2316yes—
595C42×D11C2311yescharacteristic
596C42×D11C2313yes—
597C42×D11C2316yes—
598C42×D11C2313yes—
599C42×D11C2313yes—
600C42×D11C2313yes—
601C42×D11C2313yes—
602C42×D11C2313yes—
603C42×D11C2313yes—
604C42×D11C2313yes—
605C42×D11C2313yes—
606#66923C2313yes—
607#66923C2313yes—
608#66923C2313yes—
609#66922C2313yes—
610C4×Dic22C2316yes—
611C4×Dic22C2316yes—
612C4×Dic22C2313yes—
613C4×Dic22C2313yes—
614C4×Dic22C2313yes—
615C4×Dic22C2313yes—
616C4×Dic22C2313yes—
617C4×Dic22C2313yes—
618C4×Dic22C2313yes—
619C4×Dic22C2313yes—
620C4×Dic22C2313yes—
621#62793—111nomaximal, Sylow
622C23×D11C2413yes—
623C11×#41—24no—
624C11×#41—24no—
625C2×Q8×C11—24no—
626C2×Q8×C11C2413yes—
627C2×Q8×C11C2413yes—
628C2×Q8×C11C2411yescharacteristic
629C2×D4×C11C2413yes—
630C2×D4×C11C2413yes—
631C2×D4×C11C2413yes—
632C2×D4×C11C2416yes—
633C2×D4×C11C2413yes—
634C2×D4×C11C2413yes—
635C22×C4×C11C2413yes—
636C22×C4×C11C2413yes—
637C22×C4×C11C2413yes—
638C22×C4×C11C2416yes—
639C22×C4×C11C2413yes—
640C22×C4×C11C2413yes—
641C2×C22⋊D11C2411yescharacteristic
642C2×C22⋊D11C2413yes—
643C2×C22⋊D11C2413yes—
644C2×C22⋊D11C2413yes—
645C2×C22⋊D11C2413yes—
646C2×C22⋊D11C2416yes—
647C2×C22⋊D11C2411yescharacteristic
648C2×C22⋊D11C2416yes—
649C2×C22⋊D11C2413yes—
650C2×C22⋊D11C2413yes—
651C2×C22⋊D11C2416yes—
652C2×C22⋊D11C2413yes—
653C2×C22⋊D11C2413yes—
654C2×C22⋊D11C2416yes—
655C22×Dic11C2413yes—
656C22×Dic11C2413yes—
657C22×Dic11C2416yes—
658C22×Dic11C2413yes—
659C22×Dic11C2411yescharacteristic
660C22×Dic11C2413yes—
661C22×Dic11C2413yes—
662C22×Dic11C2413yes—
663#4343—212no—
664#4343—24no—
665#4343—24no—
666#4343—46no—
667Q8×D11—212no—
668Q8×D11—24no—
669Q8×D11#4118yescomplemented
670#4341—212no—
671#4341—212no—
672#4341—212no—
673#4341—46no—
674#4341—46no—
675#4341—46no—
676#4341—412no—
677D4×D11—212no—
678#4339—212no—
679#4339—212no—
680#4339—212no—
681#4339—212no—
682#4339—412no—
683C2×D44C2413yes—
684C2×D44C2413yes—
685C2×D44C2413yes—
686C2×D44C2411yescharacteristic
687C2×D44C2413yes—
688C2×D44C2413yes—
689C2×D44C2413yes—
690C2×D44C2416yes—
691C2×C4×D11—212no—
692C2×C4×D11—46no—
693C2×C4×D11—46no—
694C2×C4×D11C2411yescharacteristic
695C2×C4×D11C2411yescharacteristic
696C2×C4×D11C2411yescharacteristic
697C2×C4×D11C2411yescharacteristic
698C2×C4×D11C2413yes—
699C2×C4×D11C2413yes—
700C2×C4×D11C2413yes—
701C2×C4×D11C2413yes—
702C2×C4×D11C2413yes—
703C2×C4×D11C2413yes—
704C2×C4×D11C2413yes—
705C2×C4×D11C2416yes—
706C2×C4×D11C2413yes—
707C2×C4×D11C2413yes—
708C2×C4×D11C2413yes—
709C2×C4×D11C2413yes—
710C2×C4×D11C2416yes—
711C2×C4×D11C2413yes—
712C2×C4×D11C2413yes—
713C2×C4×D11C2413yes—
714C2×Dic22—212no—
715C2×Dic22C2411yescharacteristic
716C2×Dic22C2413yes—
717C2×Dic22C2413yes—
718C2×Dic22C2413yes—
719C2×Dic22C2413yes—
720C2×Dic22C2416yes—
721C2×Dic22C2413yes—
722C2×Dic22C2413yes—
723C11×C4⋊C4C2411yescharacteristic
724C11×C4⋊C4C2413yes—
725C11×C4⋊C4C2413yes—
726C11×C4⋊C4C2413yes—
727C11×C4⋊C4C2413yes—
728C11×C4⋊C4C2413yes—
729C11×C4⋊C4C2416yes—
730C11×C4⋊C4C2413yes—
731C11×C4⋊C4C2413yes—
732C11×C4⋊C4C2413yes—
733C11×C4⋊C4C2413yes—
734C11×C4⋊C4C2413yes—
735C11×C4⋊C4C2411yescharacteristic
736C11×C4⋊C4C2413yes—
737C11×C4⋊C4C2411yescharacteristic
738C11×C22⋊C4C2411yescharacteristic
739C11×C22⋊C4C2413yes—
740C11×C22⋊C4C2413yes—
741C11×C22⋊C4C2413yes—
742C11×C22⋊C4C2416yes—
743C11×C22⋊C4C2413yes—
744C11×C22⋊C4C2416yes—
745C11×C22⋊C4C2413yes—
746C11×C22⋊C4C2413yes—
747C11×C22⋊C4C2411yescharacteristic
748C11×C22⋊C4C2416yes—
749C11×C22⋊C4C2413yes—
750C11×C22⋊C4C2411yescharacteristic
751C42×C11C2413yes—
752C42×C11C2413yes—
753C42×C11C2413yes—
754C42×C11C2413yes—
755C42×C11C2416yes—
756C42×C11C2413yes—
757C42×C11C2411yescharacteristic
758C22⋊Dic11C2416yes—
759C22⋊Dic11C2413yes—
760C22⋊Dic11C2416yes—
761C22⋊Dic11C2413yes—
762C22⋊Dic11C2413yes—
763C22⋊Dic11C2413yes—
764C22⋊Dic11C2411yescharacteristic
765C22⋊Dic11C2416yes—
766C22⋊Dic11C2413yes—
767(C2×D11)⋊C4C2413yes—
768(C2×D11)⋊C4C2411yescharacteristic
769(C2×D11)⋊C4C2411yescharacteristic
770(C2×D11)⋊C4C2411yescharacteristic
771(C2×D11)⋊C4C2413yes—
772(C2×D11)⋊C4C2413yes—
773(C2×D11)⋊C4C2413yes—
774(C2×D11)⋊C4C2416yes—
775(C2×D11)⋊C4C2416yes—
776(C2×D11)⋊C4C2416yes—
777(C2×D11)⋊C4C2413yes—
778(C2×D11)⋊C4C2416yes—
779(C2×D11)⋊C4C2416yes—
780(C2×D11)⋊C4C2416yes—
781(C2×D11)⋊C4C2413yes—
782(C2×D11)⋊C4C2411yescharacteristic
783(C2×D11)⋊C4C2411yescharacteristic
784(C2×D11)⋊C4C2413yes—
785(C2×D11)⋊C4C2413yes—
786(C2×D11)⋊C4C2413yes—
787(C2×D11)⋊C4C2413yes—
788(C2×D11)⋊C4C2411yescharacteristic
789(C2×D11)⋊C4C2413yes—
790(C2×D11)⋊C4C2413yes—
791(C2×D11)⋊C4C2413yes—
792(C2×D11)⋊C4C2413yes—
793C4⋊Dic11C2413yes—
794C4⋊Dic11C2413yes—
795C4⋊Dic11C2413yes—
796C4⋊Dic11C2413yes—
797C4⋊Dic11C2413yes—
798C4⋊Dic11C2413yes—
799C4⋊Dic11C2413yes—
800C4⋊Dic11C2416yes—
801C4⋊Dic11C2413yes—
802C4⋊Dic11C2413yes—
803C4⋊Dic11C2411yescharacteristic
804Dic11⋊C4C2411yescharacteristic
805Dic11⋊C4C2411yescharacteristic
806Dic11⋊C4C2413yes—
807Dic11⋊C4C2416yes—
808Dic11⋊C4C2413yes—
809Dic11⋊C4C2413yes—
810Dic11⋊C4C2413yes—
811Dic11⋊C4C2413yes—
812Dic11⋊C4C2413yes—
813Dic11⋊C4C2413yes—
814Dic11⋊C4C2413yes—
815Dic11⋊C4C2416yes—
816Dic11⋊C4C2413yes—
817Dic11⋊C4C2416yes—
818Dic11⋊C4C2416yes—
819Dic11⋊C4C2411yescharacteristic
820Dic11⋊C4C2413yes—
821Dic11⋊C4C2413yes—
822Dic11⋊C4C2416yes—
823Dic11⋊C4C2416yes—
824Dic11⋊C4C2411yescharacteristic
825Dic11⋊C4C2413yes—
826Dic11⋊C4C2413yes—
827Dic11⋊C4C2413yes—
828Dic11⋊C4C2411yescharacteristic
829Dic11⋊C4C2411yescharacteristic
830C4×Dic11C2413yes—
831C4×Dic11C2413yes—
832C4×Dic11C2413yes—
833C4×Dic11C2413yes—
834C4×Dic11C2413yes—
835C4×Dic11C2413yes—
836C4×Dic11C2416yes—
837C4×Dic11C2416yes—
838C4×Dic11C2413yes—
839C4×Dic11C2413yes—
840C4×Dic11C2416yes—
841C4×Dic11C2411yescharacteristic
842C4×Dic11C2413yes—
843C4×Dic11C2411yescharacteristic
844C4×Dic11C2411yescharacteristic
845C4×Dic11C2413yes—
846C4×Dic11C2411yescharacteristic
847C4×Dic11C2413yes—
848C4×Dic11C2413yes—
849C4×Dic11C2413yes—
850C4×Dic11C2413yes—
851C4×Dic11C2413yes—
852C4×Dic11C2413yes—
853C4×Dic11C2411yescharacteristic
854C4×Dic11C2413yes—
855#3524—113no—
856#3524—113no—
857#3524—111no—
858#3524D1111yescharacteristic, complemented
859#3518—113no—
860#3518—111no—
861#3517—113no—
862#3517—111no—
863#3506—113no—
864#3506—113no—
865#3502—111no—
866#3497—111no—
867#3493—113no—
868#3493—113no—
869#3487—111no—
870#3487—111no—
871#3483—113no—
872#3483—111no—
873#3482—113no—
874#3482—111no—
875#3480—113no—
876#3480—111no—
877#3480—113no—
878#3480—111no—
879#3460—113no—
880#3460—113no—
881#3444—113no—
882#3444—113no—
883C4×2−1+4—111no—
884C4×2−1+4—111no—
885C2×C4×#41—111no—
886C23×C11C2513yes—
887C23×C11C2511yescharacteristic
888C23×C11C2513yes—
889C22×D11—26no—
890C22×D11—43no—
891C22×D11—43no—
892C22×D11C2513yes—
893C22×D11C2513yes—
894C22×D11C2511yescharacteristic
895C22×D11C2511yescharacteristic
896Q8×C11—26no—
897Q8×C11—43no—
898Q8×C11C2×#4114yes—
899D4×C11—26no—
900D4×C11—26no—
901D4×C11—43no—
902D4×C11—43no—
903D4×C11—43no—
904D4×C11—46no—
905C2×C4×C11—26no—
906C2×C4×C11—26no—
907C2×C4×C11—26no—
908C2×C4×C11—43no—
909C2×C4×C11—43no—
910C2×C4×C11—46no—
911C2×C4×C11C2511yescharacteristic
912C2×C4×C11C2513yes—
913C2×C4×C11C2511yescharacteristic
914C2×C4×C11C2511yescharacteristic
915C2×C4×C11C2511yescharacteristic
916C2×C4×C11C2511yescharacteristic
917C2×C4×C11C2513yes—
918C2×C4×C11C2513yes—
919C2×C4×C11C2513yes—
920C2×C4×C11C2513yes—
921C2×C4×C11C2511yescharacteristic
922C2×C4×C11C2513yes—
923C22⋊D11—22no—
924C22⋊D11—26no—
925C22⋊D11—26no—
926C22⋊D11—212no—
927C22⋊D11—26no—
928C22⋊D11—26no—
929C22⋊D11—22no—
930C22⋊D11—46no—
931C22⋊D11—43no—
932C22⋊D11—43no—
933C22⋊D11—43no—
934C22⋊D11—43no—
935C22⋊D11—46no—
936C22⋊D11—46no—
937C2×Dic11—212no—
938C2×Dic11—26no—
939C2×Dic11—26no—
940C2×Dic11—26no—
941C2×Dic11—22no—
942C2×Dic11—26no—
943C2×Dic11—43no—
944C2×Dic11—43no—
945C2×Dic11C2511yescharacteristic
946C2×Dic11C2513yes—
947C2×Dic11C2513yes—
948C2×Dic11C2511yescharacteristic
949C2×Dic11C2511yescharacteristic
950C2×Dic11C2513yes—
951C2×Dic11C2513yes—
952C2×Dic11C2513yes—
953C2×Dic11C2511yescharacteristic
954C2×Dic11C2513yes—
955C2×Dic11C2511yescharacteristic
956C2×Dic11C2511yescharacteristic
957D44—22no—
958D44—26no—
959D44—26no—
960D44—26no—
961D44—46no—
962D44—43no—
963D44—43no—
964D44—43no—
965C4×D11—22no—
966C4×D11—26no—
967C4×D11—26no—
968C4×D11—26no—
969C4×D11—26no—
970C4×D11—212no—
971C4×D11—22no—
972C4×D11—22no—
973C4×D11—26no—
974C4×D11—26no—
975C4×D11—26no—
976C4×D11—22no—
977C4×D11—43no—
978C4×D11—43no—
979C4×D11—43no—
980C4×D11—43no—
981C4×D11—46no—
982C4×D11—43no—
983C4×D11—43no—
984C4×D11C2×#41112yes—
985Dic22—26no—
986Dic22—26no—
987Dic22—26no—
988Dic22—26no—
989Dic22—22no—
990Dic22—43no—
991Dic22—46no—
992Dic22C2×#41112yes—
993C2×2−1+4—111no—
994C2×2−1+4—111no—
995C22×#41—111no—
996#559—113no—
997#559—116no—
998#559—113no—
999#559—116no—
1000#559—113no—
1001#559C2×D1113yescomplemented
1002Q82—113no—
1003Q82—111no—
1004#557—113no—
1005#557—113no—
1006#557—113no—
1007#557—111no—
1008#557—111no—
1009#557C2×D1111yescharacteristic, complemented
1010#556—113no—
1011#556—116no—
1012#556—116no—
1013#556—116no—
1014#556—113no—
1015#556—113no—
1016#556—113no—
1017#556—113no—
1018#556—113no—
1019#555—116no—
1020#555—116no—
1021#555—113no—
1022#555—113no—
1023#555—113no—
1024#555—113no—
1025#555—116no—
1026#555—113no—
1027#555C2×D1113yescomplemented
1028#553—113no—
1029#553—113no—
1030#553—116no—
1031#553—116no—
1032#553—116no—
1033#553—113no—
1034#553—116no—
1035#553—113no—
1036#553—113no—
1037#553—113no—
1038#553—113no—
1039#553C2×D1113yescomplemented
1040#552—116no—
1041#552—113no—
1042#552—113no—
1043#552—113no—
1044#552—116no—
1045#552C2×D1113yescomplemented
1046#550—111no—
1047#550—111no—
1048#550—111no—
1049#550—113no—
1050#550—113no—
1051#550—113no—
1052#550—113no—
1053#550—113no—
1054#550—116no—
1055#550—111no—
1056#550—113no—
1057#550—113no—
1058#550C2×D1111yescharacteristic
1059D4×Q8—111no—
1060D4×Q8—113no—
1061#548—111no—
1062#548—111no—
1063#548—113no—
1064#548—113no—
1065#548—113no—
1066#548—113no—
1067#548—111no—
1068#548—111no—
1069#548—113no—
1070#548—113no—
1071#548C2×D1111yescharacteristic
1072#548C2×D1111yescharacteristic, complemented
1073#547—116no—
1074#547—113no—
1075#547—113no—
1076#544—113no—
1077#544—113no—
1078#542—116no—
1079#542—116no—
1080#542—113no—
1081#542—113no—
1082#542—113no—
1083#542C2×D1113yescomplemented
1084#540—116no—
1085#540—116no—
1086#540—113no—
1087#540—113no—
1088#540—113no—
1089#540C2×D1113yescomplemented
1090#538—116no—
1091#538—116no—
1092#538—116no—
1093#538—116no—
1094#537—113no—
1095#537—113no—
1096#535—113no—
1097#535—113no—
1098#535—113no—
1099#535—113no—
1100#533—113no—
1101#533—113no—
1102#533—113no—
1103#533—113no—
1104#533—113no—
1105#533—113no—
1106#532—113no—
1107#532—113no—
1108#532—113no—
1109#532—113no—
1110#532—116no—
1111#532—113no—
1112#532—113no—
1113#532—113no—
1114#532—113no—
1115#532—116no—
1116#532—113no—
1117#532—113no—
1118#529—111no—
1119#529—113no—
1120#529—116no—
1121#529—113no—
1122#529—113no—
1123#529—116no—
1124#529—113no—
1125#529—113no—
1126#529—113no—
1127#529—113no—
1128#529—113no—
1129#529—113no—
1130#529—113no—
1131#529—113no—
1132#529—116no—
1133#529—116no—
1134#529—113no—
1135#529—113no—
1136#529—116no—
1137#529—113no—
1138#529—113no—
1139#529—113no—
1140#529—113no—
1141#529C2×D1113yescomplemented
1142#529C2×D1113yescomplemented
1143#525—116no—
1144#525—113no—
1145#525—113no—
1146#525—113no—
1147#525—113no—
1148#525—113no—
1149#525—113no—
1150#525—113no—
1151#525—113no—
1152#525—116no—
1153#520—113no—
1154#520—111no—
1155#520—113no—
1156#520—113no—
1157#520—113no—
1158#520—113no—
1159#520—113no—
1160#520C2×D1111yescharacteristic, complemented
1161#519—111no—
1162#519—111no—
1163#519—113no—
1164#519—111no—
1165#519—113no—
1166#519C2×D1111yescharacteristic, complemented
1167C4×#41—111no—
1168C4×#41—111no—
1169C4×#41—111no—
1170C4×#41—111no—
1171C4×#41—113no—
1172C4×#41—111no—
1173C4×#41—113no—
1174C4×#41—113no—
1175C4×#41—113no—
1176C4×#41—113no—
1177C4×#41—113no—
1178C4×#41—113no—
1179C4×#41—116no—
1180C4×#41—113no—
1181C4×#41—113no—
1182C4×#41—113no—
1183C4×#41—113no—
1184C4×#41—113no—
1185C4×#41—113no—
1186C4×#41—116no—
1187C4×#41—113no—
1188C4×#41C2×D1111yescharacteristic
1189C2×C4×Q8—111no—
1190C2×C4×Q8—111no—
1191C2×C4×Q8—111no—
1192C2×C4×Q8—111no—
1193C2×C4×Q8—113no—
1194C2×C4×Q8—113no—
1195C2×C4×D4—113no—
1196C2×C4×D4—113no—
1197C2×#117—113no—
1198C22×C42—113no—
1199C22×C11—21no—
1200C22×C11—23no—
1201C22×C11—23no—
1202C22×C11—23no—
1203C22×C11—23no—
1204C22×C11—23no—
1205C22×C11—21no—
1206C22×C11—23no—
1207C22×C11—21no—
1208C22×C11C2611yescharacteristic
1209C2×D11—21no—
1210C2×D11—21no—
1211C2×D11—23no—
1212C2×D11—23no—
1213C2×D11—21no—
1214C2×D11—23no—
1215C2×D11—23no—
1216C2×D11—21no—
1217C2×D11—23no—
1218C2×D11—23no—
1219C2×D11—21no—
1220C2×D11—412no—
1221C2×D11C22×#4112yes—
1222C4×C11—21no—
1223C4×C11—21no—
1224C4×C11—23no—
1225C4×C11—21no—
1226C4×C11—21no—
1227C4×C11—23no—
1228C4×C11—23no—
1229C4×C11—23no—
1230C4×C11—21no—
1231C4×C11—23no—
1232C4×C11—21no—
1233C4×C11C22×#4116yes—
1234Dic11—21no—
1235Dic11—23no—
1236Dic11—21no—
1237Dic11—23no—
1238Dic11—21no—
1239Dic11—21no—
1240Dic11—23no—
1241Dic11—23no—
1242Dic11—23no—
1243Dic11C22×#4116yes—
1244Dic11#58512yes—
1245Dic11#58512yes—
12462−1+4—228no—
12472−1+4—228no—
1248C2×#41—111no—
1249C2×#41—113no—
1250C2×#41—111no—
1251C2×#41—113no—
1252C2×#41—113no—
1253C2×#41—113no—
1254C2×#41—113no—
1255C2×#41—113no—
1256C2×#41—116no—
1257C2×#41—113no—
1258C2×#41—113no—
1259C2×#41—113no—
1260C2×#41—113no—
1261C2×#41—113no—
1262C2×#41—113no—
1263C2×#41—116no—
1264C2×#41—228no—
1265C2×#41C22×D1111yescharacteristic
1266C2×#41C22×D1111yescharacteristic
1267C22×Q8—111no—
1268C22×Q8—113no—
1269C22×Q8—111no—
1270C22×Q8—113no—
1271C22×Q8C22×D1111yescharacteristic
1272C22×D4—113no—
1273C23×C4—113no—
1274C23×C4—113no—
1275C23×C4—113no—
1276C4⋊Q8—113no—
1277C4⋊Q8—113no—
1278C4⋊Q8—116no—
1279C4⋊Q8—113no—
1280C4⋊Q8—113no—
1281C4⋊Q8—113no—
1282C4⋊Q8—113no—
1283C4⋊Q8—116no—
1284C4⋊Q8—113no—
1285C4⋊Q8—113no—
1286C4⋊Q8—113no—
1287C4⋊Q8C22×D1113yes—
1288#127—113no—
1289#127—113no—
1290#127—116no—
1291#127—116no—
1292#127—113no—
1293#127—113no—
1294#127—113no—
1295#127C22×D1113yes—
1296#126—116no—
1297#126—113no—
1298#126—113no—
1299#126—116no—
1300#126—116no—
1301#126—116no—
1302#126—116no—
1303#126—113no—
1304#126—113no—
1305#126—116no—
1306#126—116no—
1307#126—116no—
1308#126—113no—
1309#126—111no—
1310#126—116no—
1311#126C22×D1111yescharacteristic
1312#126C22×D1113yes—
1313#126C22×D1116yes—
1314#125—113no—
1315#125—111no—
1316#125—116no—
1317#125—113no—
1318#125—113no—
1319#125—116no—
1320#125—116no—
1321#125—113no—
1322#125—113no—
1323#125—113no—
1324#125—113no—
1325#125—113no—
1326#125C22×D1113yes—
1327#125C22×D1113yes—
1328#125C22×D1113yes—
1329#124—113no—
1330#124—116no—
1331#124—113no—
1332#124—116no—
1333#124—113no—
1334#124—111no—
1335#124—113no—
1336#124—113no—
1337#124—116no—
1338#124—116no—
1339#124—116no—
1340#124—116no—
1341#124—116no—
1342#124—116no—
1343#124—116no—
1344#124—113no—
1345#124—113no—
1346#124—113no—
1347#124—116no—
1348#124C22×D1113yes—
1349#124C22×D1113yes—
1350#124C22×D1113yes—
1351#124C22×D1116yes—
1352#123—116no—
1353#123—116no—
1354#123—113no—
1355#123—113no—
1356#123—116no—
1357#123—111no—
1358#123—113no—
1359#123—113no—
1360#123—113no—
1361#123—116no—
1362#123—116no—
1363#123—116no—
1364#123—111no—
1365#123—113no—
1366#123—113no—
1367#123—113no—
1368#123—116no—
1369#123—116no—
1370#123—116no—
1371#123—116no—
1372#123C22×D1116yes—
1373#123C22×D1113yes—
1374#123C22×D1113yes—
1375#123C22×D1116yes—
1376C22⋊Q8—113no—
1377C22⋊Q8—113no—
1378C22⋊Q8—113no—
1379C22⋊Q8—113no—
1380C22⋊Q8—113no—
1381C22⋊Q8—113no—
1382C22⋊Q8—111no—
1383C22⋊Q8—113no—
1384C22⋊Q8—116no—
1385C22⋊Q8—113no—
1386C22⋊Q8—116no—
1387C22⋊Q8—113no—
1388C22⋊Q8—113no—
1389C22⋊Q8—113no—
1390C22⋊Q8—113no—
1391C22⋊Q8—113no—
1392C22⋊Q8—116no—
1393C22⋊Q8—113no—
1394C22⋊Q8—116no—
1395C22⋊Q8—113no—
1396C22⋊Q8—113no—
1397C22⋊Q8—116no—
1398C22⋊Q8C22×D1113yes—
1399C22⋊Q8C22×D1113yes—
1400C22⋊Q8C22×D1113yes—
1401#121—113no—
1402#121—113no—
1403#121—113no—
1404#121—113no—
1405#121—116no—
1406#121—113no—
1407#121—116no—
1408#121—113no—
1409#121—116no—
1410#121—113no—
1411#121—116no—
1412#121—116no—
1413#121—116no—
1414#121—116no—
1415#121—113no—
1416#121—113no—
1417#121—113no—
1418#121—113no—
1419#121—113no—
1420#121—116no—
1421#121—113no—
1422#121—113no—
1423#121—113no—
1424#121—113no—
1425#121—113no—
1426#121—116no—
1427#121—113no—
1428#121—111no—
1429#121—116no—
1430#121—116no—
1431#121—113no—
1432#121—113no—
1433#121—113no—
1434#121—113no—
1435#121—116no—
1436#121—116no—
1437#121—116no—
1438#121—116no—
1439#121—116no—
1440#121C22×D1113yes—
1441#121C22×D1113yes—
1442#121C22×D1113yes—
1443#121C22×D1113yes—
1444#121C22×D1113yes—
1445#121C22×D1116yes—
1446#120—116no—
1447#120—113no—
1448#120—113no—
1449#120—113no—
1450#120—113no—
1451#120—116no—
1452C4×Q8—111no—
1453C4×Q8—113no—
1454C4×Q8—111no—
1455C4×Q8—111no—
1456C4×Q8—113no—
1457C4×Q8—111no—
1458C4×Q8—113no—
1459C4×Q8—113no—
1460C4×Q8—113no—
1461C4×Q8—113no—
1462C4×Q8—113no—
1463C4×Q8—113no—
1464C4×Q8—113no—
1465C4×Q8—116no—
1466C4×Q8—113no—
1467C4×Q8—111no—
1468C4×Q8—113no—
1469C4×Q8—113no—
1470C4×Q8—113no—
1471C4×Q8—113no—
1472C4×Q8—116no—
1473C4×Q8—113no—
1474C4×Q8—116no—
1475C4×Q8—113no—
1476C4×Q8—113no—
1477C4×Q8—113no—
1478C4×Q8—113no—
1479C4×Q8—116no—
1480C4×Q8—113no—
1481C4×Q8—113no—
1482C4×Q8—113no—
1483C4×Q8—113no—
1484C4×Q8—116no—
1485C4×Q8—113no—
1486C4×Q8C22×D1111yescharacteristic
1487C4×Q8C22×D1111yescharacteristic
1488C4×Q8C22×D1111yescharacteristic
1489C4×Q8C22×D1113yes—
1490C4×Q8C22×D1113yes—
1491C4×Q8C22×D1111yescharacteristic
1492C4×Q8C22×D1113yes—
1493C4×D4—113no—
1494C4×D4—113no—
1495C4×D4—113no—
1496C4×D4—113no—
1497C4×D4—113no—
1498C4×D4—113no—
1499C4×D4—116no—
1500C4×D4—113no—
1501C4×D4—116no—
1502C4×D4—116no—
1503C4×D4—116no—
1504C4×D4—116no—
1505C4×D4—113no—
1506C4×D4—113no—
1507C4×D4—113no—
1508C4×D4—113no—
1509C4×D4—116no—
1510C4×D4—113no—
1511C4×D4—113no—
1512C4×D4—116no—
1513C4×D4—113no—
1514C4×D4—113no—
1515C4×D4—113no—
1516C4×D4—111no—
1517C4×D4—113no—
1518C4×D4—113no—
1519C4×D4—113no—
1520C4×D4—113no—
1521C4×D4—116no—
1522C4×D4—116no—
1523C4×D4—113no—
1524C4×D4—113no—
1525C4×D4—113no—
1526C4×D4—116no—
1527C4×D4—116no—
1528C4×D4—113no—
1529C4×D4—111no—
1530C4×D4—111no—
1531C4×D4—113no—
1532C4×D4—113no—
1533C4×D4—113no—
1534C4×D4—113no—
1535C4×D4—113no—
1536C4×D4—113no—
1537C4×D4—113no—
1538C4×D4—116no—
1539C4×D4—116no—
1540C4×D4—113no—
1541C4×D4—113no—
1542C4×D4—116no—
1543C4×D4—116no—
1544C4×D4—113no—
1545C4×D4—113no—
1546C4×D4—116no—
1547C4×D4—116no—
1548C4×D4—113no—
1549C4×D4—113no—
1550C4×D4—116no—
1551C4×D4—113no—
1552C4×D4—113no—
1553C4×D4—113no—
1554C4×D4—113no—
1555C4×D4—113no—
1556C4×D4C22×D1113yes—
1557C4×D4C22×D1113yes—
1558C4×D4C22×D1113yes—
1559C4×D4C22×D1113yes—
1560C4×D4C22×D1113yes—
1561C4×D4C22×D1113yes—
1562C4×D4C22×D1116yes—
1563C4×D4C22×D1113yes—
1564#117—113no—
1565#117—113no—
1566#117—113no—
1567#117—113no—
1568#117—111no—
1569#117—113no—
1570#117—113no—
1571#117—113no—
1572#117—116no—
1573#117—113no—
1574#117—113no—
1575#117—113no—
1576#117—113no—
1577#117—113no—
1578#117—113no—
1579#117—116no—
1580#117—113no—
1581#117—111no—
1582#117—116no—
1583#117—116no—
1584#117—116no—
1585#117—113no—
1586#117—113no—
1587#117—113no—
1588#117—113no—
1589#117—116no—
1590#117—113no—
1591#117—113no—
1592#117—113no—
1593#117—113no—
1594#117—116no—
1595#117—116no—
1596#117—116no—
1597#117C22×D1113yes—
1598#117C22×D1113yes—
1599#117C22×D1113yes—
1600#117C22×D1113yes—
1601#117C22×D1116yes—
1602C2×C4⋊C4—116no—
1603C2×C4⋊C4—113no—
1604C2×C4⋊C4—113no—
1605C2×C4⋊C4—113no—
1606C2×C4⋊C4—116no—
1607C2×C4⋊C4—113no—
1608C2×C4⋊C4—113no—
1609C2×C4⋊C4C22×D1113yes—
1610C2×C22⋊C4—116no—
1611C2×C42—116no—
1612C2×C42—113no—
1613C2×C42—113no—
1614C2×C42—113no—
1615C2×C42—113no—
1616C2×C42—113no—
1617C2×C42—113no—
1618C2×C42—113no—
1619C2×C42—113no—
1620C2×C42—113no—
1621C2×C42—113no—
1622C2×C42—116no—
1623C2×C42—113no—
1624C2×C42—113no—
1625C2×C42—113no—
1626C2×C42—113no—
1627C2×C42—111no—
1628C2×C42C22×D1113yes—
1629C2×C11—43no—
1630C2×C11—41no—
1631C2×C11—43no—
1632C2×C11C23×#4111yescharacteristic
1633C2×C11C2×#58511yescharacteristic
1634C2×C11C2×#58511yescharacteristic
1635D11—22no—
1636D11—43no—
1637D11—41no—
1638D11—43no—
1639C24—113no—
1640#41—24no—
1641#41—24no—
1642#41—2212no—
1643#41—2212no—
1644#41—2212no—
1645#41—2212no—
1646#41—2212no—
1647#41—2212no—
1648#41—2212no—
1649#41—2212no—
1650#41—224no—
1651#41—224no—
1652#41—4412no—
1653#41—446no—
1654#41—4412no—
1655#41—446no—
1656#41—446no—
1657#41—446no—
1658C2×Q8—24no—
1659C2×Q8—118no—
1660C2×Q8—113no—
1661C2×Q8—113no—
1662C2×Q8—113no—
1663C2×Q8—113no—
1664C2×Q8—113no—
1665C2×Q8—111no—
1666C2×Q8—113no—
1667C2×Q8—116no—
1668C2×Q8—2212no—
1669C2×Q8—2212no—
1670C2×Q8—224no—
1671C2×Q8C23×D1113yes—
1672C2×Q8C23×D1113yes—
1673C2×Q8C23×D1111yescharacteristic
1674C2×D4—113no—
1675C2×D4—111no—
1676C2×D4—116no—
1677C2×D4—113no—
1678C2×D4—113no—
1679C2×D4—111no—
1680C2×D4—113no—
1681C2×D4—116no—
1682C2×D4—113no—
1683C2×D4—113no—
1684C2×D4—113no—
1685C2×D4—113no—
1686C2×D4—116no—
1687C2×D4—116no—
1688C2×D4—111no—
1689C2×D4—113no—
1690C2×D4—113no—
1691C2×D4—113no—
1692C2×D4—116no—
1693C2×D4—113no—
1694C2×D4—113no—
1695C2×D4—113no—
1696C2×D4—2212no—
1697C2×D4C23×D1113yes—
1698C2×D4C23×D1113yes—
1699C2×D4C23×D1113yes—
1700C2×D4C23×D1116yes—
1701C2×D4C23×D1113yes—
1702C2×D4C23×D1113yes—
1703C22×C4—113no—
1704C22×C4—113no—
1705C22×C4—111no—
1706C22×C4—113no—
1707C22×C4—113no—
1708C22×C4—113no—
1709C22×C4—116no—
1710C22×C4—113no—
1711C22×C4—113no—
1712C22×C4—111no—
1713C22×C4—111no—
1714C22×C4—111no—
1715C22×C4—113no—
1716C22×C4—111no—
1717C22×C4—113no—
1718C22×C4—113no—
1719C22×C4—113no—
1720C22×C4—113no—
1721C22×C4—116no—
1722C22×C4—113no—
1723C22×C4—113no—
1724C22×C4—113no—
1725C22×C4—113no—
1726C22×C4—113no—
1727C22×C4—113no—
1728C22×C4—113no—
1729C22×C4—113no—
1730C22×C4—116no—
1731C22×C4—2212no—
1732C22×C4—446no—
1733C22×C4—446no—
1734C22×C4C23×D1113yes—
1735C22×C4C23×D1113yes—
1736C22×C4C23×D1113yes—
1737C22×C4C23×D1113yes—
1738C22×C4C23×D1113yes—
1739C22×C4C23×D1116yes—
1740C4⋊C4—116no—
1741C4⋊C4—113no—
1742C4⋊C4—113no—
1743C4⋊C4—113no—
1744C4⋊C4—113no—
1745C4⋊C4—116no—
1746C4⋊C4—113no—
1747C4⋊C4—113no—
1748C4⋊C4—116no—
1749C4⋊C4—116no—
1750C4⋊C4—113no—
1751C4⋊C4—111no—
1752C4⋊C4—113no—
1753C4⋊C4—111no—
1754C4⋊C4—113no—
1755C4⋊C4—113no—
1756C4⋊C4—113no—
1757C4⋊C4—113no—
1758C4⋊C4—111no—
1759C4⋊C4—113no—
1760C4⋊C4—113no—
1761C4⋊C4—111no—
1762C4⋊C4—111no—
1763C4⋊C4—113no—
1764C4⋊C4—113no—
1765C4⋊C4—111no—
1766C4⋊C4—113no—
1767C4⋊C4—111no—
1768C4⋊C4—116no—
1769C4⋊C4—113no—
1770C4⋊C4—113no—
1771C4⋊C4—113no—
1772C4⋊C4—113no—
1773C4⋊C4—116no—
1774C4⋊C4—113no—
1775C4⋊C4—116no—
1776C4⋊C4—113no—
1777C4⋊C4C23×D1113yes—
1778C4⋊C4C23×D1113yes—
1779C4⋊C4C23×D1113yes—
1780C4⋊C4C23×D1113yes—
1781C4⋊C4C23×D1113yes—
1782C4⋊C4C23×D1111yescharacteristic
1783C4⋊C4C23×D1113yes—
1784C4⋊C4C23×D1113yes—
1785C4⋊C4C23×D1113yes—
1786C4⋊C4C23×D1111yescharacteristic
1787C4⋊C4C23×D1113yes—
1788C4⋊C4C23×D1113yes—
1789C4⋊C4C23×D1113yes—
1790C4⋊C4C23×D1111yescharacteristic
1791C4⋊C4C23×D1116yes—
1792C22⋊C4—116no—
1793C22⋊C4—116no—
1794C22⋊C4—113no—
1795C22⋊C4—111no—
1796C22⋊C4—116no—
1797C22⋊C4—113no—
1798C22⋊C4—113no—
1799C22⋊C4—113no—
1800C22⋊C4—113no—
1801C22⋊C4—116no—
1802C22⋊C4—116no—
1803C22⋊C4—113no—
1804C22⋊C4—111no—
1805C22⋊C4—113no—
1806C22⋊C4—111no—
1807C22⋊C4—113no—
1808C22⋊C4—111no—
1809C22⋊C4—116no—
1810C22⋊C4—113no—
1811C22⋊C4—111no—
1812C22⋊C4—113no—
1813C22⋊C4—113no—
1814C22⋊C4—113no—
1815C22⋊C4—111no—
1816C22⋊C4—113no—
1817C22⋊C4—111no—
1818C22⋊C4—113no—
1819C22⋊C4—113no—
1820C22⋊C4—113no—
1821C22⋊C4—113no—
1822C22⋊C4—116no—
1823C22⋊C4—116no—
1824C22⋊C4—116no—
1825C22⋊C4—113no—
1826C22⋊C4—113no—
1827C22⋊C4C23×D1116yes—
1828C22⋊C4C23×D1111yescharacteristic
1829C22⋊C4C23×D1113yes—
1830C22⋊C4C23×D1113yes—
1831C22⋊C4C23×D1113yes—
1832C22⋊C4C23×D1113yes—
1833C22⋊C4C23×D1111yescharacteristic
1834C22⋊C4C23×D1113yes—
1835C22⋊C4C23×D1116yes—
1836C22⋊C4C23×D1113yes—
1837C22⋊C4C23×D1113yes—
1838C22⋊C4C23×D1111yescharacteristic
1839C22⋊C4C23×D1116yes—
1840C42—111no—
1841C42—113no—
1842C42—111no—
1843C42—113no—
1844C42—111no—
1845C42—113no—
1846C42—113no—
1847C42—111no—
1848C42—111no—
1849C42—113no—
1850C42—113no—
1851C42—113no—
1852C42—113no—
1853C42—113no—
1854C42—113no—
1855C42—113no—
1856C42—113no—
1857C42—113no—
1858C42—113no—
1859C42—113no—
1860C42—116no—
1861C42—116no—
1862C42—116no—
1863C42—113no—
1864C42—113no—
1865C42C23×D1111yescharacteristic
1866C42C23×D1113yes—
1867C42C23×D1113yes—
1868C42C23×D1113yes—
1869C42C23×D1116yes—
1870C42C23×D1113yes—
1871C42C23×D1113yes—
1872C11#6279311yescharacteristic, complemented, Sylow
1873C23—111no—
1874C23—113no—
1875C23—111no—
1876C23—113no—
1877C23—226no—
1878C23—443no—
1879C23—443no—
1880C23C24×D1113yes—
1881C23C24×D1111yescharacteristic
1882C23C24×D1113yes—
1883Q8—26no—
1884Q8—43no—
1885Q8—1112no—
1886Q8—226no—
1887Q8—226no—
1888Q8—226no—
1889Q8—222no—
1890Q8—226no—
1891Q8—443no—
1892Q8—446no—
1893Q8#41×D1114yes—
1894D4—26no—
1895D4—26no—
1896D4—43no—
1897D4—43no—
1898D4—46no—
1899D4—43no—
1900D4—222no—
1901D4—226no—
1902D4—2212no—
1903D4—226no—
1904D4—226no—
1905D4—226no—
1906D4—222no—
1907D4—222no—
1908D4—226no—
1909D4—226no—
1910D4—226no—
1911D4—446no—
1912D4—443no—
1913D4—443no—
1914D4—443no—
1915D4—446no—
1916D4—446no—
1917D4—443no—
1918D4—443no—
1919D4—446no—
1920D4—443no—
1921D4—443no—
1922C2×C4—26no—
1923C2×C4—26no—
1924C2×C4—26no—
1925C2×C4—43no—
1926C2×C4—43no—
1927C2×C4—46no—
1928C2×C4—111no—
1929C2×C4—113no—
1930C2×C4—111no—
1931C2×C4—1112no—
1932C2×C4—111no—
1933C2×C4—113no—
1934C2×C4—113no—
1935C2×C4—111no—
1936C2×C4—113no—
1937C2×C4—111no—
1938C2×C4—113no—
1939C2×C4—113no—
1940C2×C4—111no—
1941C2×C4—226no—
1942C2×C4—222no—
1943C2×C4—222no—
1944C2×C4—226no—
1945C2×C4—226no—
1946C2×C4—2212no—
1947C2×C4—226no—
1948C2×C4—222no—
1949C2×C4—222no—
1950C2×C4—226no—
1951C2×C4—226no—
1952C2×C4—226no—
1953C2×C4—2212no—
1954C2×C4—226no—
1955C2×C4—222no—
1956C2×C4—226no—
1957C2×C4—226no—
1958C2×C4—226no—
1959C2×C4—443no—
1960C2×C4—443no—
1961C2×C4—443no—
1962C2×C4—443no—
1963C2×C4—446no—
1964C2×C4—443no—
1965C2×C4—443no—
1966C2×C4—443no—
1967C2×C4—443no—
1968C2×C4C24×D1111yescharacteristic
1969C2×C4C24×D1111yescharacteristic
1970C2×C4C24×D1113yes—
1971C2×C4C24×D1111yescharacteristic
1972C2×C4C24×D1111yescharacteristic
1973C2×C4C24×D1113yes—
1974C2×C4C24×D1111yescharacteristic
1975C2×C4C24×D1113yes—
1976C2×C4C24×D1113yes—
1977C2×C4C24×D1113yes—
1978C2×C4C24×D1111yescharacteristic
1979C2×C4C24×D1113yes—
1980C22—21no—
1981C22—23no—
1982C22—23no—
1983C22—23no—
1984C22—23no—
1985C22—23no—
1986C22—21no—
1987C22—23no—
1988C22—21no—
1989C22—112no—
1990C22—221no—
1991C22—221no—
1992C22—223no—
1993C22—221no—
1994C22—223no—
1995C22—223no—
1996C22—223no—
1997C22—221no—
1998C22—223no—
1999C22—223no—
2000C22—221no—
2001C22—4412no—
2002C22C25×D1111yescharacteristic
2003C4—21no—
2004C4—21no—
2005C4—23no—
2006C4—21no—
2007C4—21no—
2008C4—23no—
2009C4—23no—
2010C4—23no—
2011C4—23no—
2012C4—21no—
2013C4—21no—
2014C4—116no—
2015C4—112no—
2016C4—112no—
2017C4—221no—
2018C4—223no—
2019C4—221no—
2020C4—223no—
2021C4—223no—
2022C4—223no—
2023C4—221no—
2024C4—223no—
2025C4—221no—
2026C4C2×#41×D1116yes—
2027C2—43no—
2028C2—41no—
2029C2—43no—
2030C2—222no—
2031C2—443no—
2032C2—443no—
2033C2—441no—
2034C2C22×#41×D1111yescharacteristic
2035C2D11×#58511yescharacteristic
2036C2D11×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3524C2
hypercenter#3524D11
hypocenterC11#62793
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #13082725C2semidirect
2. #13082721C2semidirect
3. #13082715C2semidirect
4. #13082629C2semidirect
5. #13082627C2semidirect
6. #13082618C2semidirect
7. #13082616C2semidirect
8. #13082464C2semidirect
9. #13082462C2semidirect
10. #13082423C2semidirect
11. #13082384C2semidirect
12. #13082334C2semidirect
13. #13082327C2semidirect
14. #13082273C2semidirect
15. #13082269C2semidirect
16. #13082241C2semidirect
17. #13082239C2semidirect
18. #13082232C2semidirect
19. #13082230C2semidirect
20. #13082216C2semidirect
21. #13082212C2semidirect
22. #13082210C2semidirect
23. #13082206C2semidirect
24. #13082036C2semidirect
25. #13082031C2semidirect
26. #13081910C2semidirect
27. #13081910C2semidirect
28. #13081827C2semidirect
29. #13081825C2semidirect
30. C4×#41×D11C2semidirect
31. C11×#3524C2semidirect
35. C11×#559C22semidirect
36. C11×#557C22semidirect
37. C11×#555C22semidirect
38. C11×#553C22semidirect
39. C11×#552C22semidirect
42. C11×#548C22semidirect
43. C11×#542C22semidirect
44. C11×#540C22semidirect
45. C11×#529C22semidirect
46. C11×#529C22semidirect
47. C11×#520C22semidirect
48. C11×#519C22semidirect
52. #10623365C22semidirect
55. #41×Dic11C22semidirect
57. Q8×C22⋊D11C22semidirect
58. C2×Q8×Dic11C22semidirect
59. #10623263C22semidirect
61. #10623256C22semidirect
62. #10623253C22semidirect
64. #10623249C22semidirect
65. #10623247C22semidirect
69. #10623237C22semidirect
70. #10623237C22semidirect
71. #10623237C22semidirect
72. #10623237C22semidirect
74. #10623233C22semidirect
75. #10623233C22semidirect
76. #10623226C22semidirect
77. #10623226C22semidirect
78. #10623224C22semidirect
80. #10623222C22semidirect
81. #10623222C22semidirect
84. #10623219C22semidirect
85. #10623216C22semidirect
86. #10623216C22semidirect
87. #10623212C22semidirect
89. #10623211C22semidirect
90. #10623211C22semidirect
93. #10623208C22semidirect
95. #10623202C22semidirect
96. #10623202C22semidirect
97. #10623201C22semidirect
98. #10623201C22semidirect
100. #10623199C22semidirect
101. #10623199C22semidirect
102. #10623195C22semidirect
103. #10623194C22semidirect
104. #10623193C22semidirect
105. #10623192C22semidirect
106. #10623192C22semidirect
111. #10623186C22semidirect
112. #10623180C22semidirect
113. #10623180C22semidirect
114. #10623180C22semidirect
115. #10623180C22semidirect
116. #10623172C22semidirect
117. #10623171C22semidirect
118. #10623170C22semidirect
120. #10623163C22semidirect
124. #10623155C22semidirect
125. #10623153C22semidirect
126. #10623153C22semidirect
127. #10623149C22semidirect
128. #10623147C22semidirect
129. #10623147C22semidirect
130. #10623146C22semidirect
132. #10623142C22semidirect
138. #10623132C22semidirect
139. #10623131C22semidirect
142. #10623130C22semidirect
143. #10623130C22semidirect
145. #10623127C22semidirect
146. #10623127C22semidirect
147. #10623127C22semidirect
148. #10623127C22semidirect
149. #10623127C22semidirect
150. #10623116C22semidirect
151. #10623115C22semidirect
152. #10623113C22semidirect
154. #10623109C22semidirect
157. #10623107C22semidirect
159. #10623105C22semidirect
163. C4×#4343C22semidirect
164. C4×#4343C22semidirect
167. #10623103C22semidirect
168. #10623103C22semidirect
171. C4×Q8×D11C22semidirect
172. C4×Q8×D11C22semidirect
173. #10623100C22semidirect
174. #10623100C22semidirect
175. #10623099C22semidirect
176. #10623098C22semidirect
177. Q8×Dic22C22semidirect
178. #10623096C22semidirect
179. #10623094C22semidirect
180. #10623093C22semidirect
181. #10623093C22semidirect
182. #10623092C22semidirect
183. #10623090C22semidirect
184. #10623090C22semidirect
185. #10623089C22semidirect
186. #10623089C22semidirect
188. #10623084C22semidirect
190. #10623083C22semidirect
192. #10623079C22semidirect
197. #10623077C22semidirect
200. #10623072C22semidirect
201. #10623071C22semidirect
205. C4×#4341C22semidirect
206. C4×#4341C22semidirect
207. C4×#4341C22semidirect
208. C4×#4341C22semidirect
209. C4×#4341C22semidirect
210. #10623066C22semidirect
211. #10623065C22semidirect
212. #10623064C22semidirect
213. #10623063C22semidirect
214. #10623063C22semidirect
215. #10623063C22semidirect
216. #10623062C22semidirect
217. #10623060C22semidirect
219. #10623059C22semidirect
220. #10623059C22semidirect
222. #10623054C22semidirect
226. #10623053C22semidirect
227. #10623053C22semidirect
229. #10623047C22semidirect
230. #10623045C22semidirect
231. #10623038C22semidirect
233. C2×#66940C22semidirect
234. #10623010C22semidirect
235. #10623010C22semidirect
669. Q8×D11#41semidirect
858. #3524D11semidirect
1001. #559C2×D11semidirect
1009. #557C2×D11semidirect
1027. #555C2×D11semidirect
1039. #553C2×D11semidirect
1045. #552C2×D11semidirect
1072. #548C2×D11semidirect
1083. #542C2×D11semidirect
1089. #540C2×D11semidirect
1141. #529C2×D11semidirect
1142. #529C2×D11semidirect
1160. #520C2×D11semidirect
1166. #519C2×D11semidirect
1872. C11#62793semidirect

Maximal subgroups

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

subgroupindex
#130827252
#130827212
#130827152
#130826292
#130826272
#130826182
#130826162
#130824642
#130824622
#130824232
#130823842
#130823342
#130823272
#130822732
#130822692
#130822412
#130822392
#130822322
#130822302
#130822162
#130822122
#130822102
#130822062
#130820362
#130820312
#130819102
#130818272
#130818252
C4×#41×D112
C11×#35242
#6279311