Finite Group Databasebeta

← #15662065

Subgroups — #15662065

Order 2816.

7190 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082722C214yesmaximal, complemented
2#13082716C214yesmaximal, complemented
3#13082626C214yesmaximal, complemented
4#13082615C214yesmaximal, complemented
5#13082463C214yesmaximal, complemented
6#13082461C212yesmaximal, complemented
7#13082424C211yesmaximal, characteristic, complemented
8#13082385C211yesmaximal, characteristic, complemented
9#13082336C211yesmaximal, characteristic, complemented
10#13082328C214yesmaximal, complemented
11#13082270C212yesmaximal, complemented
12#13082241C214yesmaximal, complemented
13#13082230C214yesmaximal, complemented
14#13082210C214yesmaximal, complemented
15#13082208C214yesmaximal, complemented
16#13082039C211yesmaximal, characteristic, complemented
17#13082035C214yesmaximal, complemented
18#13082033C211yesmaximal, characteristic, complemented
19#13081910C214yesmaximal, complemented
20#13081908C212yesmaximal, complemented
21#13081827C212yesmaximal, complemented
22C2×#10623053C211yesmaximal, characteristic, complemented
23C11×#3493C211yesmaximal, characteristic, complemented
24C2×#67043C2212yes—
25C22×#4339C2211yescharacteristic
26C11×#556C2214yescomplemented
27C11×#555C2214yescomplemented
28C11×#553C2214yescomplemented
29C11×#552C2214yescomplemented
30C11×#544C2211yescharacteristic
31C11×#538C2214yes—
32C11×#537C2211yescharacteristic
33C11×#529C2214yes—
34C11×#525C2212yes—
35C11×#520C2212yes—
36C2×C11×#117C2211yescharacteristic
37#10623363C2212yes—
38#10623361C2212yes—
39#41×Dic11C2212yes—
40#10623322C2212yes—
41C22×C4×Dic11C2211yescharacteristic
42#10623264C2214yescomplemented
43#10623256C2214yescomplemented
44#10623253C2214yescomplemented
45#10623252C2214yescomplemented
46#10623241C2218yescomplemented
47#10623240C2218yescomplemented
48#10623240C2218yescomplemented
49#10623237C2218yescomplemented
50#10623237C2218yescomplemented
51#10623237C2218yescomplemented
52#10623233C2218yescomplemented
53#10623233C2218yescomplemented
54#10623229C2214yescomplemented
55#10623224C2218yescomplemented
56#10623222C2214yescomplemented
57#10623222C2214yescomplemented
58#10623219C2214yescomplemented
59#10623216C2214yescomplemented
60#10623216C2214yescomplemented
61#10623212C2218yescomplemented
62#10623211C2214yescomplemented
63#10623201C2218yescomplemented
64#10623201C2218yescomplemented
65#10623200C2218yescomplemented
66#10623199C2214yescomplemented
67#10623199C2218yescomplemented
68#10623195C2218yescomplemented
69#10623194C2218yescomplemented
70#10623187C2218yes—
71#10623186C2218yescomplemented
72#10623180C2214yes—
73#10623180C2214yes—
74#10623180C2218yescomplemented
75#10623175C2214yes—
76#10623174C2214yescomplemented
77#10623164C2214yes—
78#10623164C2214yes—
79#10623164C2214yescomplemented
80#10623163C2214yescomplemented
81#10623158C2214yes—
82#10623155C2212yescomplemented
83#10623155C2212yescomplemented
84#10623155C2214yescomplemented
85#10623154C2214yes—
86#10623153C2214yes—
87#10623153C2212yescomplemented
88#10623153C2212yescomplemented
89#10623150C2214yescomplemented
90#10623148C2214yes—
91#10623146C2218yescomplemented
92#10623137C2214yes—
93#10623132C2218yescomplemented
94#10623131C2212yescomplemented
95#10623131C2212yescomplemented
96#10623130C2214yes—
97#10623130C2214yes—
98#10623130C2214yescomplemented
99#10623130C2218yescomplemented
100#10623129C2214yescomplemented
101#10623128C2214yes—
102#10623127C2214yes—
103#10623127C2212yescomplemented
104#10623127C2212yescomplemented
105#10623127C2214yescomplemented
106#10623127C2218yescomplemented
107#10623123C2218yes—
108#10623117C2214yes—
109#10623117C2214yes—
110#10623116C2214yescomplemented
111#10623109C2214yescomplemented
112C4×#4343C2214yescomplemented
113#10623103C2214yescomplemented
114C4×Q8×D11C2214yescomplemented
115#10623099C2214yescomplemented
116#10623099C2218yescomplemented
117#10623091C2218yes—
118#10623090C2214yescomplemented
119#10623084C2214yes—
120#10623084C2214yes—
121#10623084C2214yescomplemented
122#10623083C2214yes—
123#10623083C2214yes—
124#10623079C2214yescomplemented
125#10623078C2218yes—
126#10623077C2218yes—
127#10623077C2214yescomplemented
128#10623071C2218yescomplemented
129#10623069C2214yescomplemented
130#10623069C2214yescomplemented
131C4×#4341C2218yes—
132C4×#4341C2214yescomplemented
133C4×#4341C2214yescomplemented
134C4×#4341C2214yescomplemented
135C4×#4341C2214yescomplemented
136#10623064C2214yescomplemented
137#10623063C2214yescomplemented
138#10623063C2218yescomplemented
139#10623063C2214yescomplemented
140#10623062C2218yescomplemented
141#10623061C2214yescomplemented
142#10623061C2214yescomplemented
143#10623060C2214yescomplemented
144#10623059C2218yescomplemented
145#10623056C2212yes—
146#10623053C2214yes—
147#10623053C2212yes—
148#10623053C2214yes—
149#10623053C2214yes—
150#10623053C2214yes—
151#10623053C2218yescomplemented
152#10623053C2214yescomplemented
153#10623048C2212yes—
154#10623047C2212yes—
155#10623047C2214yescomplemented
156#10623045C2214yescomplemented
157#10623041C2211yescharacteristic
158#10623038C2214yescomplemented
159#10623035C2212yes—
160#10623035C2214yescomplemented
161C2×#66946C2211yescharacteristic
162C2×#66946C2211yescharacteristic
163#10623031C2211yescharacteristic
164C2×#66940C2211yescharacteristic
165C2×#66940C2211yescharacteristic
166C2×#66940C2214yescomplemented
167#10623025C2214yes—
168C2×(C22⋊D11)⋊C4C2212yes—
169C2×(C22⋊D11)⋊C4C2212yes—
170#10623010C2214yes—
171C2×#66925C2212yes—
172C2×C42×D11C2212yes—
173C2×C11×#41C2312yes—
174C23×C4×C11C2311yescharacteristic
175C22×C22⋊D11C2312yes—
176C23×Dic11C2311yescharacteristic
177C23×Dic11C2311yescharacteristic
178#67043—216no—
179C2×#4343C2314yes—
180C2×Q8×D11C2314yes—
181C2×#4341C2318yes—
182C2×#4341C2314yes—
183C2×#4341C2314yes—
184C2×#4341C2314yes—
185C2×#4341C2314yes—
186C2×#4339—28no—
187C2×#4339C2312yes—
188C2×#4339C2314yes—
189C2×#4339C2314yes—
190C2×#4339C2314yes—
191C2×#4339C2318yes—
192C22×D44C2311yescharacteristic
193C22×C4×D11C2312yes—
194C22×C4×D11C2312yes—
195C22×C4×D11C2312yes—
196C22×Dic22C2314yes—
197C22×Dic22C2311yescharacteristic
198C11×C4⋊Q8C2314yes—
199C11×#126C2318yes—
200C11×#126C2318yes—
201C11×#125C2314yes—
202C11×#125C2314yes—
203C11×#124C2314yes—
204C11×#124C2318yes—
205C11×#123C2314yes—
206C11×#123C2318yes—
207C11×C22⋊Q8C2312yes—
208C11×C22⋊Q8C2312yes—
209C11×C22⋊Q8C2314yes—
210C11×C22⋊Q8C2314yes—
211C11×#121C2314yes—
212C11×#121C2314yes—
213C11×#121C2312yes—
214C11×#121C2312yes—
215C11×#121C2318yes—
216C11×#120C2314yes—
217C4×Q8×C11C2314yes—
218C4×Q8×C11C2314yes—
219C4×D4×C11C2318yes—
220C4×D4×C11C2314yes—
221C4×D4×C11C2314yes—
222C4×D4×C11C2314yes—
223C4×D4×C11C2314yes—
224C11×#117C2312yes—
225C11×#117C2314yes—
226C11×#117C2314yes—
227C11×#117C2314yes—
228C11×#117C2318yes—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2314yes—
232C2×C11×C22⋊C4C2312yes—
233C2×C42×C11C2312yes—
234#67006C2314yes—
235#67000C2318yes—
236#67000C2314yes—
237#67000C2312yes—
238#66999C2314yes—
239Q8×Dic11C2314yes—
240Q8×Dic11C2312yes—
241Q8×Dic11C2312yes—
242#66997C2318yes—
243#66997C2314yes—
244#66997C2312yes—
245#66993C2314yes—
246#66993C2318yes—
247#66993C2318yes—
248#66993C2312yes—
249#66993C2314yes—
250#66992C2314yes—
251#66992C2314yes—
252#66992C2318yes—
253#66992C2318yes—
254#66992C2314yes—
255#66992C2318yes—
256#66992C2318yes—
257#66992C2314yes—
258#66991C2314yes—
259#66990C2318yes—
260#66989C2312yes—
261#66988C2314yes—
262#66988C2314yes—
263D4×Dic11C2314yes—
264D4×Dic11C2312yes—
265D4×Dic11C2314yes—
266D4×Dic11C2314yes—
267D4×Dic11C2314yes—
268D4×Dic11C2314yes—
269D4×Dic11C2312yes—
270#66983C2314yes—
271#66983C2314yes—
272#66983C2318yes—
273#66983C2314yes—
274#66983C2312yes—
275#66983C2312yes—
276#66982C2314yes—
277#66982C2318yes—
278C4×C22⋊D11C2318yes—
279C4×C22⋊D11C2318yes—
280C4×C22⋊D11C2318yes—
281C4×C22⋊D11C2314yes—
282C4×C22⋊D11C2318yes—
283C4×C22⋊D11C2314yes—
284C4×C22⋊D11C2314yes—
285C4×C22⋊D11C2314yes—
286C2×(C2×D11)⋊C4C2312yes—
287C2×(C2×D11)⋊C4C2312yes—
288#66979C2312yes—
289#66979C2314yes—
290#66977C2314yes—
291#66977C2312yes—
292#66977C2312yes—
293C2×Dic11⋊C4C2312yes—
294C2×Dic11⋊C4C2312yes—
295C2×Dic11⋊C4C2318yes—
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2312yes—
298C2×C4×Dic11C2312yes—
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2318yes—
303C2×C4×Dic11C2314yes—
304C2×C4×Dic11C2312yes—
305C2×C4×Dic11C2312yes—
306C2×C4×Dic11C2312yes—
307C2×C4×Dic11C2312yes—
308#66951C2318yes—
309#66951C2318yes—
310#66951C2318yes—
311#66951C2314yes—
312#66951C2314yes—
313#66950C2314yes—
314#66950C2314yes—
315#66949C2318yes—
316#66949C2318yes—
317#66949C2318yes—
318#66949C2318yes—
319#66948C2318yes—
320#66948C2314yes—
321#66948C2314yes—
322#66948C2314yes—
323#66948C2314yes—
324#66947C2318yes—
325#66947C2318yes—
326#66947C2318yes—
327#66947C2318yes—
328#66946C2318yes—
329#66946C2318yes—
330#66946C2314yes—
331#66946C2312yes—
332#66946C2314yes—
333#66946C2314yes—
334#66946C2314yes—
335#66946C2314yes—
336#66946C2314yes—
337#66946C2312yes—
338#66946C2318yes—
339#66945C2314yes—
340#66945C2314yes—
341#66945C2318yes—
342#66945C2314yes—
343#66945C2314yes—
344#66945C2314yes—
345C4⋊C4×D11C2318yes—
346C4⋊C4×D11C2314yes—
347#66943C2312yes—
348#66943C2314yes—
349#66943C2312yes—
350#66942C2314yes—
351#66942C2318yes—
352#66942C2318yes—
353#66942C2314yes—
354#66942C2318yes—
355#66941C2314yes—
356#66941C2318yes—
357#66941C2312yes—
358#66941C2314yes—
359#66941C2312yes—
360#66941C2314yes—
361#66940C2318yes—
362#66940C2314yes—
363#66940C2318yes—
364#66940C2318yes—
365#66940C2314yes—
366#66940C2314yes—
367#66940C2314yes—
368#66940C2312yes—
369#66940C2314yes—
370#66940C2314yes—
371#66940C2312yes—
372#66940C2314yes—
373#66940C2314yes—
374#66940C2314yes—
375#66940C2314yes—
376#66939C2314yes—
377#66939C2318yes—
378#66939C2314yes—
379#66938C2318yes—
380#66938C2318yes—
381#66938C2318yes—
382#66938C2318yes—
383#66938C2314yes—
384#66938C2318yes—
385#66938C2318yes—
386#66938C2314yes—
387#66937C2318yes—
388#66937C2318yes—
389#66937C2318yes—
390#66937C2318yes—
391#66937C2318yes—
392#66937C2318yes—
393#66937C2318yes—
394#66937C2318yes—
395#66936C2318yes—
396#66936C2318yes—
397#66936C2318yes—
398#66935C2318yes—
399(C22⋊D11)⋊C4C2318yes—
400(C22⋊D11)⋊C4C2318yes—
401(C22⋊D11)⋊C4C2314yes—
402(C22⋊D11)⋊C4C2318yes—
403(C22⋊D11)⋊C4C2318yes—
404(C22⋊D11)⋊C4C2318yes—
405(C22⋊D11)⋊C4C2318yes—
406(C22⋊D11)⋊C4C2314yes—
407(C22⋊D11)⋊C4C2314yes—
408(C22⋊D11)⋊C4C2318yes—
409(C22⋊D11)⋊C4C2318yes—
410(C22⋊D11)⋊C4C2318yes—
411(C22⋊D11)⋊C4C2314yes—
412(C22⋊D11)⋊C4C2314yes—
413(C22⋊D11)⋊C4C2314yes—
414(C22⋊D11)⋊C4C2318yes—
415#66932C2314yes—
416#66932C2318yes—
417#66932C2314yes—
418#66931C2314yes—
419#66931C2318yes—
420#66931C2314yes—
421#66931C2314yes—
422#66931C2314yes—
423#66930C2314yes—
424#66930C2318yes—
425#66930C2314yes—
426#66930C2314yes—
427#66930C2318yes—
428#66930C2318yes—
429#66930C2314yes—
430#66929C2318yes—
431#66929C2318yes—
432#66928C2318yes—
433#66928C2314yes—
434#66928C2314yes—
435#66927C2314yes—
436C4×D44C2314yes—
437C4×D44C2318yes—
438#66925C2318yes—
439#66925C2318yes—
440#66925C2318yes—
441#66925C2318yes—
442#66925C2314yes—
443#66925C2318yes—
444C42×D11C2314yes—
445C42×D11C2314yes—
446C42×D11C2318yes—
447C42×D11C2314yes—
448C42×D11C2314yes—
449C42×D11C2314yes—
450#66923C2314yes—
451C4×Dic22C2314yes—
452C4×Dic22C2318yes—
453C4×Dic22C2318yes—
454C4×Dic22C2314yes—
455C4×Dic22C2314yes—
456C4×Dic22C2314yes—
457C4×Dic22C2314yes—
458#62793—111nomaximal, Sylow
459C24×C11C2411yescharacteristic
460C23×D11C2412yes—
461C11×#41—28no—
462C2×Q8×C11C2412yes—
463C2×Q8×C11C2414yes—
464C2×D4×C11C2412yes—
465C2×D4×C11C2414yes—
466C2×D4×C11C2414yes—
467C2×D4×C11C2414yes—
468C2×D4×C11C2414yes—
469C22×C4×C11—24no—
470C22×C4×C11C2412yes—
471C22×C4×C11C2412yes—
472C22×C4×C11C2411yescharacteristic
473C22×C4×C11C2414yes—
474C22×C4×C11C2412yes—
475C22×C4×C11C2412yes—
476C22×C4×C11C2418yes—
477C22×C4×C11C2411yescharacteristic
478C2×C22⋊D11—28no—
479C2×C22⋊D11C2418yes—
480C2×C22⋊D11C2414yes—
481C2×C22⋊D11C2414yes—
482C2×C22⋊D11C2418yes—
483C2×C22⋊D11C2418yes—
484C2×C22⋊D11C2414yes—
485C2×C22⋊D11C2418yes—
486C2×C22⋊D11C2414yes—
487C2×C22⋊D11C2414yes—
488C22×Dic11—42no—
489C22×Dic11—42no—
490C22×Dic11C2412yes—
491C22×Dic11C2418yes—
492C22×Dic11C2412yes—
493C22×Dic11C2414yes—
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2414yes—
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2412yes—
499C22×Dic11C2412yes—
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2412yes—
502#4343—48no—
503Q8×D11—216no—
504#4341—232no—
505#4341—216no—
506#4341—48no—
507#4341—48no—
508#4341—48no—
509#4339—216no—
510#4339—216no—
511#4339—216no—
512#4339—28no—
513#4339—416no—
514C2×D44—24no—
515C2×D44C2412yes—
516C2×D44C2414yes—
517C2×D44C2418yes—
518C2×D44C2414yes—
519C2×D44C2418yes—
520C2×C4×D11—28no—
521C2×C4×D11—44no—
522C2×C4×D11—44no—
523C2×C4×D11C2414yes—
524C2×C4×D11C2414yes—
525C2×C4×D11C2414yes—
526C2×C4×D11C2414yes—
527C2×C4×D11C2414yes—
528C2×C4×D11C2418yes—
529C2×C4×D11C2414yes—
530C2×C4×D11C2414yes—
531C2×C4×D11C2414yes—
532C2×C4×D11C2418yes—
533C2×C4×D11C2414yes—
534C2×Dic22—216no—
535C2×Dic22#4118yescomplemented
536C2×Dic22C2418yes—
537C2×Dic22C2414yes—
538C2×Dic22C2412yes—
539C2×Dic22C2414yes—
540C2×Dic22C2414yes—
541C2×Dic22C2414yes—
542C11×C4⋊C4C2412yes—
543C11×C4⋊C4C2412yes—
544C11×C4⋊C4C2414yes—
545C11×C4⋊C4C2414yes—
546C11×C4⋊C4C2418yes—
547C11×C4⋊C4C2414yes—
548C11×C4⋊C4C2418yes—
549C11×C4⋊C4C2414yes—
550C11×C4⋊C4C2414yes—
551C11×C4⋊C4C2414yes—
552C11×C22⋊C4C2414yes—
553C11×C22⋊C4C2418yes—
554C11×C22⋊C4C2414yes—
555C11×C22⋊C4C2414yes—
556C11×C22⋊C4C2414yes—
557C11×C22⋊C4C2414yes—
558C11×C22⋊C4C2418yes—
559C11×C22⋊C4C2418yes—
560C42×C11C2414yes—
561C42×C11C2418yes—
562C42×C11C2414yes—
563C42×C11C2414yes—
564C22⋊Dic11C2414yes—
565C22⋊Dic11C2414yes—
566C22⋊Dic11C2414yes—
567C22⋊Dic11C2414yes—
568C22⋊Dic11C2414yes—
569C22⋊Dic11C2414yes—
570C22⋊Dic11C2414yes—
571(C2×D11)⋊C4C2414yes—
572(C2×D11)⋊C4C2414yes—
573(C2×D11)⋊C4C2418yes—
574(C2×D11)⋊C4C2418yes—
575(C2×D11)⋊C4C2418yes—
576(C2×D11)⋊C4C2418yes—
577(C2×D11)⋊C4C2418yes—
578(C2×D11)⋊C4C2418yes—
579(C2×D11)⋊C4C2414yes—
580(C2×D11)⋊C4C2414yes—
581(C2×D11)⋊C4C2414yes—
582(C2×D11)⋊C4C2418yes—
583(C2×D11)⋊C4C2414yes—
584(C2×D11)⋊C4C2418yes—
585C4⋊Dic11C2414yes—
586C4⋊Dic11C2414yes—
587C4⋊Dic11C2412yes—
588C4⋊Dic11C2412yes—
589C4⋊Dic11C2414yes—
590C4⋊Dic11C2414yes—
591C4⋊Dic11C2414yes—
592C4⋊Dic11C2414yes—
593Dic11⋊C4C2414yes—
594Dic11⋊C4C2418yes—
595Dic11⋊C4C2414yes—
596Dic11⋊C4C2418yes—
597Dic11⋊C4C2418yes—
598Dic11⋊C4C2414yes—
599Dic11⋊C4C2414yes—
600Dic11⋊C4C2414yes—
601Dic11⋊C4C2414yes—
602Dic11⋊C4C2418yes—
603Dic11⋊C4C2414yes—
604Dic11⋊C4C2414yes—
605Dic11⋊C4C2418yes—
606Dic11⋊C4C2418yes—
607Dic11⋊C4C2414yes—
608Dic11⋊C4C2414yes—
609C4×Dic11C2414yes—
610C4×Dic11C2414yes—
611C4×Dic11C2418yes—
612C4×Dic11C2418yes—
613C4×Dic11C2414yes—
614C4×Dic11C2412yes—
615C4×Dic11C2412yes—
616C4×Dic11C2418yes—
617C4×Dic11C2411yescharacteristic
618C4×Dic11C2411yescharacteristic
619C4×Dic11C2414yes—
620C4×Dic11C2411yescharacteristic
621C4×Dic11C2411yescharacteristic
622C4×Dic11C2414yes—
623C4×Dic11C2414yes—
624C4×Dic11C2414yes—
625C4×Dic11C2412yes—
626C4×Dic11C2414yes—
627C4×Dic11C2412yes—
628C4×Dic11C2412yes—
629C4×Dic11C2414yes—
630C4×Dic11C2412yes—
631#3524—114no—
632#3524—114no—
633#3518—114no—
634#3517—114no—
635#3506—114no—
636#3506—112no—
637#3502—111no—
638#3497—111no—
639#3493—114no—
640#3493—111no—
641#3493D1111yescharacteristic, complemented
642#3487—112no—
643#3483—114no—
644#3482—114no—
645#3480—114no—
646#3480—114no—
647#3460—111no—
648#3460—114no—
649#3460—111no—
650#3444—114no—
651#3444—112no—
652C4×2−1+4—112no—
653C2×C4×#41—111no—
654C23×C11—22no—
655C23×C11—41no—
656C23×C11—41no—
657C23×C11C2512yes—
658C23×C11C2514yes—
659C23×C11C2511yescharacteristic
660C22×D11—24no—
661C22×D11—42no—
662C22×D11—42no—
663C22×D11C2514yes—
664C22×D11C2514yes—
665Q8×C11—24no—
666Q8×C11—44no—
667D4×C11—28no—
668D4×C11—24no—
669D4×C11—44no—
670D4×C11—44no—
671D4×C11—44no—
672C2×C4×C11—22no—
673C2×C4×C11—28no—
674C2×C4×C11—24no—
675C2×C4×C11—24no—
676C2×C4×C11—42no—
677C2×C4×C11—42no—
678C2×C4×C11—48no—
679C2×C4×C11C2×#4114yes—
680C2×C4×C11C2511yescharacteristic
681C2×C4×C11C2511yescharacteristic
682C2×C4×C11C2514yes—
683C2×C4×C11C2514yes—
684C2×C4×C11C2514yes—
685C2×C4×C11C2514yes—
686C2×C4×C11C2514yes—
687C2×C4×C11C2512yes—
688C22⋊D11—28no—
689C22⋊D11—216no—
690C22⋊D11—216no—
691C22⋊D11—28no—
692C22⋊D11—48no—
693C22⋊D11—44no—
694C22⋊D11—48no—
695C22⋊D11—44no—
696C22⋊D11—44no—
697C2×Dic11—216no—
698C2×Dic11—22no—
699C2×Dic11—22no—
700C2×Dic11—28no—
701C2×Dic11—24no—
702C2×Dic11—24no—
703C2×Dic11—44no—
704C2×Dic11—41no—
705C2×Dic11—42no—
706C2×Dic11—42no—
707C2×Dic11—41no—
708C2×Dic11C2×#4118yes—
709C2×Dic11C2512yes—
710C2×Dic11C2511yescharacteristic
711C2×Dic11C2511yescharacteristic
712C2×Dic11C2514yes—
713C2×Dic11C2512yes—
714C2×Dic11C2514yes—
715C2×Dic11C2514yes—
716C2×Dic11C2514yes—
717C2×Dic11C2511yescharacteristic
718C2×Dic11C2511yescharacteristic
719D44—28no—
720D44—24no—
721D44—48no—
722D44—44no—
723D44—48no—
724C4×D11—28no—
725C4×D11—28no—
726C4×D11—28no—
727C4×D11—216no—
728C4×D11—28no—
729C4×D11—28no—
730C4×D11—28no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—48no—
734C4×D11—44no—
735Dic22—24no—
736Dic22—216no—
737Dic22—28no—
738Dic22—44no—
739Dic22—44no—
740Dic22C2×#41116yes—
741C2×2−1+4—112no—
742C22×#41—111no—
743#559—118no—
744#559—118no—
745#559—114no—
746#559—114no—
747Q82—114no—
748#557—114no—
749#557—114no—
750#557—114no—
751#556—118no—
752#556—118no—
753#556—118no—
754#556—114no—
755#556—114no—
756#556C2×D1114yescomplemented
757#555—118no—
758#555—118no—
759#555—114no—
760#555—118no—
761#555—114no—
762#555C2×D1114yescomplemented
763#553—118no—
764#553—118no—
765#553—118no—
766#553—118no—
767#553—114no—
768#553—114no—
769#553—114no—
770#553C2×D1114yescomplemented
771#552—118no—
772#552—114no—
773#552—118no—
774#552C2×D1114yescomplemented
775#550—114no—
776#550—114no—
777#550—114no—
778#550—118no—
779#550—114no—
780#550—114no—
781#550—114no—
782D4×Q8—114no—
783#548—114no—
784#548—114no—
785#548—114no—
786#548—114no—
787#548—114no—
788#548—114no—
789#547—118no—
790#547—114no—
791#544—114no—
792#544—111no—
793#544C2×D1111yescharacteristic
794#542—114no—
795#542—118no—
796#542—118no—
797#542—114no—
798#540—114no—
799#540—118no—
800#540—118no—
801#540—114no—
802#538—114no—
803#538—114no—
804#538—118no—
805#538—114no—
806#538C2×D1114yes—
807#537—114no—
808#537—111no—
809#537C2×D1111yescharacteristic
810#535—112no—
811#535—118no—
812#535—112no—
813#533—114no—
814#533—112no—
815#533—114no—
816#533—112no—
817#533—114no—
818#533—112no—
819#532—112no—
820#532—114no—
821#532—114no—
822#532—118no—
823#532—114no—
824#532—112no—
825#532—112no—
826#532—114no—
827#532—118no—
828#532—114no—
829#529—118no—
830#529—118no—
831#529—118no—
832#529—114no—
833#529—114no—
834#529—114no—
835#529—114no—
836#529—114no—
837#529—118no—
838#529—112no—
839#529—112no—
840#529—114no—
841#529—112no—
842#529—112no—
843#529—114no—
844#529—114no—
845#529—118no—
846#529—114no—
847#529C2×D1114yes—
848#525—112no—
849#525—118no—
850#525—114no—
851#525—114no—
852#525—114no—
853#525—114no—
854#525—118no—
855#525C2×D1112yes—
856#520—118no—
857#520—114no—
858#520—112no—
859#520—114no—
860#520C2×D1112yes—
861#519—114no—
862#519—112no—
863#519—114no—
864C4×#41—112no—
865C4×#41—114no—
866C4×#41—118no—
867C4×#41—114no—
868C4×#41—114no—
869C4×#41—114no—
870C4×#41—114no—
871C4×#41—114no—
872C4×#41—114no—
873C4×#41—114no—
874C4×#41—114no—
875C4×#41—112no—
876C4×#41—114no—
877C4×#41—118no—
878C2×C4×Q8—114no—
879C2×C4×Q8—111no—
880C2×C4×Q8—111no—
881C2×C4×Q8—114no—
882C2×C4×D4—111no—
883C2×C4×D4—111no—
884C2×C4×D4—112no—
885C2×C4×D4—112no—
886C2×#117—112no—
887C2×#117C2×D1111yescharacteristic
888C22×C42—111no—
889C22×C42—112no—
890C22×C11—21no—
891C22×C11—21no—
892C22×C11—22no—
893C22×C11—24no—
894C22×C11—24no—
895C22×C11—24no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—44no—
899C22×C11C22×#4112yes—
900C22×C11C2611yescharacteristic
901C2×D11—24no—
902C2×D11—24no—
903C2×D11—24no—
904C2×D11—24no—
905C2×D11—24no—
906C2×D11—24no—
907C2×D11—48no—
908C4×C11—21no—
909C4×C11—21no—
910C4×C11—24no—
911C4×C11—24no—
912C4×C11—24no—
913C4×C11—24no—
914C4×C11—24no—
915C4×C11C22×#4114yes—
916Dic11—24no—
917Dic11—24no—
918Dic11—24no—
919Dic11—22no—
920Dic11—21no—
921Dic11—21no—
922Dic11—22no—
923Dic11C22×#4118yes—
924Dic11#58512yes—
925Dic11#58512yes—
9262−1+4—2216no—
927C2×#41—114no—
928C2×#41—118no—
929C2×#41—114no—
930C2×#41—114no—
931C2×#41—114no—
932C2×#41—114no—
933C2×#41—114no—
934C2×#41—114no—
935C2×#41—112no—
936C2×#41—114no—
937C2×#41—118no—
938C2×#41—228no—
939C2×#41C22×D1112yes—
940C22×Q8—114no—
941C22×Q8—111no—
942C22×Q8—114no—
943C22×D4—112no—
944C22×D4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—112no—
948C23×C4—112no—
949C23×C4—112no—
950C23×C4C22×D1111yescharacteristic
951C4⋊Q8—112no—
952C4⋊Q8—114no—
953C4⋊Q8—118no—
954C4⋊Q8—114no—
955C4⋊Q8—112no—
956C4⋊Q8—114no—
957C4⋊Q8—112no—
958C4⋊Q8—118no—
959C4⋊Q8—114no—
960C4⋊Q8C22×D1114yes—
961#127—114no—
962#127—112no—
963#127—118no—
964#127—118no—
965#127—114no—
966#127—114no—
967#126—114no—
968#126—114no—
969#126—118no—
970#126—118no—
971#126—118no—
972#126—114no—
973#126—114no—
974#126—118no—
975#126—118no—
976#126—118no—
977#126C22×D1118yes—
978#126C22×D1118yes—
979#125—114no—
980#125—114no—
981#125—118no—
982#125—112no—
983#125—112no—
984#125—118no—
985#125—118no—
986#125—114no—
987#125—114no—
988#125C22×D1114yes—
989#125C22×D1114yes—
990#124—112no—
991#124—114no—
992#124—118no—
993#124—112no—
994#124—114no—
995#124—118no—
996#124—114no—
997#124—118no—
998#124—118no—
999#124—118no—
1000#124—118no—
1001#124—118no—
1002#124—114no—
1003#124—114no—
1004#124—118no—
1005#124C22×D1114yes—
1006#124C22×D1118yes—
1007#123—114no—
1008#123—114no—
1009#123—114no—
1010#123—118no—
1011#123—118no—
1012#123—118no—
1013#123—118no—
1014#123—118no—
1015#123—118no—
1016#123—114no—
1017#123—118no—
1018#123—114no—
1019#123—118no—
1020#123—118no—
1021#123C22×D1114yes—
1022#123C22×D1118yes—
1023C22⋊Q8—114no—
1024C22⋊Q8—114no—
1025C22⋊Q8—112no—
1026C22⋊Q8—112no—
1027C22⋊Q8—114no—
1028C22⋊Q8—118no—
1029C22⋊Q8—118no—
1030C22⋊Q8—118no—
1031C22⋊Q8—118no—
1032C22⋊Q8—114no—
1033C22⋊Q8—114no—
1034C22⋊Q8—114no—
1035C22⋊Q8—114no—
1036C22⋊Q8—114no—
1037C22⋊Q8—118no—
1038C22⋊Q8C22×D1114yes—
1039C22⋊Q8C22×D1112yes—
1040C22⋊Q8C22×D1112yes—
1041C22⋊Q8C22×D1114yes—
1042#121—114no—
1043#121—114no—
1044#121—114no—
1045#121—114no—
1046#121—114no—
1047#121—118no—
1048#121—118no—
1049#121—118no—
1050#121—118no—
1051#121—114no—
1052#121—112no—
1053#121—112no—
1054#121—114no—
1055#121—114no—
1056#121—118no—
1057#121—114no—
1058#121—114no—
1059#121—114no—
1060#121—114no—
1061#121—118no—
1062#121—118no—
1063#121—118no—
1064#121—118no—
1065#121—118no—
1066#121—118no—
1067#121—118no—
1068#121—118no—
1069#121—118no—
1070#121C22×D1114yes—
1071#121C22×D1112yes—
1072#121C22×D1112yes—
1073#121C22×D1114yes—
1074#121C22×D1118yes—
1075#120—114no—
1076#120—118no—
1077#120—118no—
1078#120C22×D1114yes—
1079C4×Q8—112no—
1080C4×Q8—112no—
1081C4×Q8—114no—
1082C4×Q8—114no—
1083C4×Q8—118no—
1084C4×Q8—112no—
1085C4×Q8—114no—
1086C4×Q8—114no—
1087C4×Q8—114no—
1088C4×Q8—114no—
1089C4×Q8—118no—
1090C4×Q8—114no—
1091C4×Q8—114no—
1092C4×Q8—112no—
1093C4×Q8—114no—
1094C4×Q8—118no—
1095C4×Q8—114no—
1096C4×Q8—114no—
1097C4×Q8—114no—
1098C4×Q8—118no—
1099C4×Q8—118no—
1100C4×Q8—114no—
1101C4×Q8—114no—
1102C4×Q8—114no—
1103C4×Q8—114no—
1104C4×Q8C22×D1114yes—
1105C4×Q8C22×D1114yes—
1106C4×D4—114no—
1107C4×D4—112no—
1108C4×D4—114no—
1109C4×D4—112no—
1110C4×D4—114no—
1111C4×D4—114no—
1112C4×D4—114no—
1113C4×D4—118no—
1114C4×D4—118no—
1115C4×D4—118no—
1116C4×D4—114no—
1117C4×D4—114no—
1118C4×D4—118no—
1119C4×D4—114no—
1120C4×D4—114no—
1121C4×D4—114no—
1122C4×D4—114no—
1123C4×D4—114no—
1124C4×D4—114no—
1125C4×D4—112no—
1126C4×D4—112no—
1127C4×D4—114no—
1128C4×D4—118no—
1129C4×D4—118no—
1130C4×D4—118no—
1131C4×D4—114no—
1132C4×D4—118no—
1133C4×D4—118no—
1134C4×D4—118no—
1135C4×D4—118no—
1136C4×D4—114no—
1137C4×D4—118no—
1138C4×D4—114no—
1139C4×D4—114no—
1140C4×D4—118no—
1141C4×D4—118no—
1142C4×D4—114no—
1143C4×D4—118no—
1144C4×D4—118no—
1145C4×D4—114no—
1146C4×D4—118no—
1147C4×D4—114no—
1148C4×D4—118no—
1149C4×D4—114no—
1150C4×D4C22×D1118yes—
1151C4×D4C22×D1114yes—
1152C4×D4C22×D1114yes—
1153C4×D4C22×D1114yes—
1154C4×D4C22×D1114yes—
1155#117—112no—
1156#117—114no—
1157#117—114no—
1158#117—118no—
1159#117—114no—
1160#117—114no—
1161#117—114no—
1162#117—114no—
1163#117—114no—
1164#117—118no—
1165#117—118no—
1166#117—118no—
1167#117—114no—
1168#117—114no—
1169#117—114no—
1170#117—118no—
1171#117—118no—
1172#117—114no—
1173#117—118no—
1174#117—118no—
1175#117—118no—
1176#117C22×D1114yes—
1177#117C22×D1114yes—
1178#117C22×D1112yes—
1179#117C22×D1114yes—
1180#117C22×D1118yes—
1181C2×C4⋊C4—112no—
1182C2×C4⋊C4—112no—
1183C2×C4⋊C4—118no—
1184C2×C4⋊C4—118no—
1185C2×C4⋊C4—114no—
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C4⋊C4C22×D1114yes—
1189C2×C22⋊C4—112no—
1190C2×C22⋊C4—112no—
1191C2×C22⋊C4C22×D1112yes—
1192C2×C42—111no—
1193C2×C42—112no—
1194C2×C42—111no—
1195C2×C42—112no—
1196C2×C42—111no—
1197C2×C42—118no—
1198C2×C42—114no—
1199C2×C42—112no—
1200C2×C42—112no—
1201C2×C42—112no—
1202C2×C42—112no—
1203C2×C42—111no—
1204C2×C42—114no—
1205C2×C42—118no—
1206C2×C42—114no—
1207C2×C42—114no—
1208C2×C42—114no—
1209C2×C42—114no—
1210C2×C42C22×D1112yes—
1211C2×C11—22no—
1212C2×C11—44no—
1213C2×C11—42no—
1214C2×C11C23×#4111yescharacteristic
1215C2×C11C2×#58511yescharacteristic
1216C2×C11C2×#58511yescharacteristic
1217D11—44no—
1218D11—44no—
1219C24—112no—
1220C24C23×D1111yescharacteristic
1221#41—28no—
1222#41—2216no—
1223#41—2216no—
1224#41—2216no—
1225#41—2232no—
1226#41—2216no—
1227#41—228no—
1228#41—4416no—
1229#41—448no—
1230#41—448no—
1231#41—448no—
1232#41—448no—
1233C2×Q8—118no—
1234C2×Q8—114no—
1235C2×Q8—118no—
1236C2×Q8—112no—
1237C2×Q8—114no—
1238C2×Q8—114no—
1239C2×Q8—114no—
1240C2×Q8—2216no—
1241C2×Q8—2216no—
1242C2×Q8C23×D1112yes—
1243C2×Q8C23×D1114yes—
1244C2×D4—114no—
1245C2×D4—118no—
1246C2×D4—118no—
1247C2×D4—114no—
1248C2×D4—118no—
1249C2×D4—114no—
1250C2×D4—118no—
1251C2×D4—114no—
1252C2×D4—114no—
1253C2×D4—114no—
1254C2×D4—112no—
1255C2×D4—118no—
1256C2×D4—118no—
1257C2×D4—114no—
1258C2×D4—228no—
1259C2×D4—224no—
1260C2×D4C23×D1114yes—
1261C2×D4C23×D1112yes—
1262C2×D4C23×D1114yes—
1263C2×D4C23×D1114yes—
1264C2×D4C23×D1114yes—
1265C22×C4—24no—
1266C22×C4—112no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—114no—
1270C22×C4—112no—
1271C22×C4—112no—
1272C22×C4—118no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—112no—
1276C22×C4—112no—
1277C22×C4—114no—
1278C22×C4—114no—
1279C22×C4—114no—
1280C22×C4—114no—
1281C22×C4—114no—
1282C22×C4—114no—
1283C22×C4—118no—
1284C22×C4—114no—
1285C22×C4—114no—
1286C22×C4—114no—
1287C22×C4—114no—
1288C22×C4—118no—
1289C22×C4—228no—
1290C22×C4—444no—
1291C22×C4—444no—
1292C22×C4—442no—
1293C22×C4—442no—
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1112yes—
1296C22×C4C23×D1112yes—
1297C22×C4C23×D1114yes—
1298C22×C4C23×D1112yes—
1299C22×C4C23×D1112yes—
1300C22×C4C23×D1118yes—
1301C22×C4C23×D1111yescharacteristic
1302C4⋊C4—118no—
1303C4⋊C4—118no—
1304C4⋊C4—112no—
1305C4⋊C4—114no—
1306C4⋊C4—118no—
1307C4⋊C4—114no—
1308C4⋊C4—118no—
1309C4⋊C4—114no—
1310C4⋊C4—114no—
1311C4⋊C4—118no—
1312C4⋊C4—114no—
1313C4⋊C4—112no—
1314C4⋊C4—114no—
1315C4⋊C4—114no—
1316C4⋊C4—114no—
1317C4⋊C4—114no—
1318C4⋊C4—114no—
1319C4⋊C4—118no—
1320C4⋊C4—114no—
1321C4⋊C4—114no—
1322C4⋊C4—114no—
1323C4⋊C4—114no—
1324C4⋊C4—114no—
1325C4⋊C4—114no—
1326C4⋊C4C23×D1114yes—
1327C4⋊C4C23×D1118yes—
1328C4⋊C4C23×D1112yes—
1329C4⋊C4C23×D1114yes—
1330C4⋊C4C23×D1114yes—
1331C4⋊C4C23×D1114yes—
1332C4⋊C4C23×D1114yes—
1333C4⋊C4C23×D1114yes—
1334C4⋊C4C23×D1112yes—
1335C4⋊C4C23×D1118yes—
1336C22⋊C4—114no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—114no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—118no—
1344C22⋊C4—118no—
1345C22⋊C4—114no—
1346C22⋊C4—114no—
1347C22⋊C4—118no—
1348C22⋊C4—114no—
1349C22⋊C4—114no—
1350C22⋊C4—114no—
1351C22⋊C4—118no—
1352C22⋊C4—118no—
1353C22⋊C4—118no—
1354C22⋊C4—118no—
1355C22⋊C4—118no—
1356C22⋊C4—114no—
1357C22⋊C4C23×D1118yes—
1358C22⋊C4C23×D1114yes—
1359C22⋊C4C23×D1118yes—
1360C22⋊C4C23×D1114yes—
1361C22⋊C4C23×D1114yes—
1362C22⋊C4C23×D1114yes—
1363C22⋊C4C23×D1114yes—
1364C22⋊C4C23×D1118yes—
1365C42—111no—
1366C42—114no—
1367C42—111no—
1368C42—112no—
1369C42—111no—
1370C42—111no—
1371C42—112no—
1372C42—114no—
1373C42—114no—
1374C42—114no—
1375C42—112no—
1376C42—112no—
1377C42—114no—
1378C42—112no—
1379C42—114no—
1380C42—112no—
1381C42—114no—
1382C42—114no—
1383C42—118no—
1384C42—118no—
1385C42—118no—
1386C42—114no—
1387C42C23×D1114yes—
1388C42C23×D1114yes—
1389C42C23×D1118yes—
1390C42C23×D1114yes—
1391C11#6279311yescharacteristic, complemented, Sylow
1392C23—22no—
1393C23—41no—
1394C23—41no—
1395C23—114no—
1396C23—114no—
1397C23—224no—
1398C23—442no—
1399C23—442no—
1400C23C24×D1112yes—
1401C23C24×D1114yes—
1402C23C24×D1111yescharacteristic
1403Q8—24no—
1404Q8—44no—
1405Q8—1116no—
1406Q8—2216no—
1407Q8—228no—
1408Q8—224no—
1409Q8—444no—
1410Q8—444no—
1411D4—28no—
1412D4—24no—
1413D4—44no—
1414D4—44no—
1415D4—44no—
1416D4—2216no—
1417D4—2216no—
1418D4—228no—
1419D4—228no—
1420D4—228no—
1421D4—224no—
1422D4—448no—
1423D4—444no—
1424D4—448no—
1425D4—444no—
1426D4—444no—
1427D4—448no—
1428D4—448no—
1429D4—444no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—42no—
1435C2×C4—42no—
1436C2×C4—48no—
1437C2×C4—118no—
1438C2×C4—111no—
1439C2×C4—114no—
1440C2×C4—111no—
1441C2×C4—111no—
1442C2×C4—112no—
1443C2×C4—111no—
1444C2×C4—114no—
1445C2×C4—114no—
1446C2×C4—112no—
1447C2×C4—114no—
1448C2×C4—228no—
1449C2×C4—228no—
1450C2×C4—228no—
1451C2×C4—228no—
1452C2×C4—2216no—
1453C2×C4—228no—
1454C2×C4—222no—
1455C2×C4—222no—
1456C2×C4—224no—
1457C2×C4—224no—
1458C2×C4—2216no—
1459C2×C4—228no—
1460C2×C4—228no—
1461C2×C4—444no—
1462C2×C4—444no—
1463C2×C4—448no—
1464C2×C4—444no—
1465C2×C4—441no—
1466C2×C4—442no—
1467C2×C4—442no—
1468C2×C4—441no—
1469C2×C4—444no—
1470C2×C4#41×D1114yes—
1471C2×C4C24×D1111yescharacteristic
1472C2×C4C24×D1111yescharacteristic
1473C2×C4C24×D1114yes—
1474C2×C4C24×D1114yes—
1475C2×C4C24×D1114yes—
1476C2×C4C24×D1114yes—
1477C2×C4C24×D1114yes—
1478C2×C4C24×D1112yes—
1479C22—21no—
1480C22—21no—
1481C22—22no—
1482C22—24no—
1483C22—24no—
1484C22—22no—
1485C22—22no—
1486C22—24no—
1487C22—44no—
1488C22—224no—
1489C22—224no—
1490C22—224no—
1491C22—224no—
1492C22—224no—
1493C22—224no—
1494C22—448no—
1495C22C2×#41×D1112yes—
1496C22C25×D1111yescharacteristic
1497C4—21no—
1498C4—21no—
1499C4—24no—
1500C4—24no—
1501C4—24no—
1502C4—24no—
1503C4—24no—
1504C4—118no—
1505C4—112no—
1506C4—112no—
1507C4—224no—
1508C4—221no—
1509C4—221no—
1510C4—222no—
1511C4—222no—
1512C4—224no—
1513C4—224no—
1514C4C2×#41×D1114yes—
1515C2—22no—
1516C2—42no—
1517C2—44no—
1518C2—444no—
1519C2—444no—
1520C2C22×#41×D1111yescharacteristic
1521C2D11×#58511yescharacteristic
1522C2D11×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3493C2
hypercenter#3493D11
hypocenterC11#62793
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. #13082722C2semidirect
2. #13082716C2semidirect
3. #13082626C2semidirect
4. #13082615C2semidirect
5. #13082463C2semidirect
6. #13082461C2semidirect
7. #13082424C2semidirect
8. #13082385C2semidirect
9. #13082336C2semidirect
10. #13082328C2semidirect
11. #13082270C2semidirect
12. #13082241C2semidirect
13. #13082230C2semidirect
14. #13082210C2semidirect
15. #13082208C2semidirect
16. #13082039C2semidirect
17. #13082035C2semidirect
18. #13082033C2semidirect
19. #13081910C2semidirect
20. #13081908C2semidirect
21. #13081827C2semidirect
22. C2×#10623053C2semidirect
23. C11×#3493C2semidirect
26. C11×#556C22semidirect
27. C11×#555C22semidirect
28. C11×#553C22semidirect
29. C11×#552C22semidirect
42. #10623264C22semidirect
43. #10623256C22semidirect
44. #10623253C22semidirect
45. #10623252C22semidirect
46. #10623241C22semidirect
47. #10623240C22semidirect
48. #10623240C22semidirect
49. #10623237C22semidirect
50. #10623237C22semidirect
51. #10623237C22semidirect
52. #10623233C22semidirect
53. #10623233C22semidirect
54. #10623229C22semidirect
55. #10623224C22semidirect
56. #10623222C22semidirect
57. #10623222C22semidirect
58. #10623219C22semidirect
59. #10623216C22semidirect
60. #10623216C22semidirect
61. #10623212C22semidirect
62. #10623211C22semidirect
63. #10623201C22semidirect
64. #10623201C22semidirect
65. #10623200C22semidirect
66. #10623199C22semidirect
67. #10623199C22semidirect
68. #10623195C22semidirect
69. #10623194C22semidirect
71. #10623186C22semidirect
74. #10623180C22semidirect
76. #10623174C22semidirect
79. #10623164C22semidirect
80. #10623163C22semidirect
82. #10623155C22semidirect
83. #10623155C22semidirect
84. #10623155C22semidirect
87. #10623153C22semidirect
88. #10623153C22semidirect
89. #10623150C22semidirect
91. #10623146C22semidirect
93. #10623132C22semidirect
94. #10623131C22semidirect
95. #10623131C22semidirect
98. #10623130C22semidirect
99. #10623130C22semidirect
100. #10623129C22semidirect
103. #10623127C22semidirect
104. #10623127C22semidirect
105. #10623127C22semidirect
106. #10623127C22semidirect
110. #10623116C22semidirect
111. #10623109C22semidirect
112. C4×#4343C22semidirect
113. #10623103C22semidirect
114. C4×Q8×D11C22semidirect
115. #10623099C22semidirect
116. #10623099C22semidirect
118. #10623090C22semidirect
121. #10623084C22semidirect
124. #10623079C22semidirect
127. #10623077C22semidirect
128. #10623071C22semidirect
129. #10623069C22semidirect
130. #10623069C22semidirect
132. C4×#4341C22semidirect
133. C4×#4341C22semidirect
134. C4×#4341C22semidirect
135. C4×#4341C22semidirect
136. #10623064C22semidirect
137. #10623063C22semidirect
138. #10623063C22semidirect
139. #10623063C22semidirect
140. #10623062C22semidirect
141. #10623061C22semidirect
142. #10623061C22semidirect
143. #10623060C22semidirect
144. #10623059C22semidirect
151. #10623053C22semidirect
152. #10623053C22semidirect
155. #10623047C22semidirect
156. #10623045C22semidirect
158. #10623038C22semidirect
160. #10623035C22semidirect
166. C2×#66940C22semidirect
535. C2×Dic22#41semidirect
641. #3493D11semidirect
756. #556C2×D11semidirect
762. #555C2×D11semidirect
770. #553C2×D11semidirect
774. #552C2×D11semidirect
1391. C11#62793semidirect

Maximal subgroups

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

subgroupindex
#130827222
#130827162
#130826262
#130826152
#130824632
#130824612
#130824242
#130823852
#130823362
#130823282
#130822702
#130822412
#130822302
#130822102
#130822082
#130820392
#130820352
#130820332
#130819102
#130819082
#130818272
C2×#106230532
C11×#34932
#6279311