Finite Group Databasebeta

← D11×#3512 #15662268

Subgroups — D11×#3512 #15662268

Order 2816.

7238 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082540C211yesmaximal, characteristic, complemented
2#13082539C212yesmaximal, complemented
3#13082538C211yesmaximal, characteristic, complemented
4#13082537C212yesmaximal, complemented
5#13082536C211yesmaximal, characteristic, complemented
6#13082535C212yesmaximal, complemented
7#13082534C214yesmaximal, complemented
8#13082533C212yesmaximal, complemented
9#13082532C218yesmaximal, complemented
10#13082531C214yesmaximal, complemented
11#13082530C214yesmaximal, complemented
12D11×#553C218yesmaximal, complemented
13D11×#553C214yesmaximal, complemented
14D11×#552C214yesmaximal, complemented
15D11×#541C212yesmaximal, complemented
16D11×#540C212yesmaximal, complemented
17D11×#537C212yesmaximal, complemented
18D11×#532C211yesmaximal, characteristic, complemented
19D11×#529C214yesmaximal, complemented
20C2×D11×#125C211yesmaximal, characteristic, complemented
21D11×#520C212yesmaximal, complemented
22C4×#41×D11C211yesmaximal, characteristic, complemented
23C11×#3512C211yesmaximal, characteristic, complemented
24C2×#41×D11C2212yes—
25C2×#41×D11C2211yescharacteristic
26C11×#553C2218yescomplemented
27C11×#553C2214yescomplemented
28C11×#552C2214yescomplemented
29C11×#541C2212yescomplemented
30C11×#540C2212yescomplemented
31C11×#537C2212yescomplemented
32C11×#532C2211yescharacteristic, complemented
33C11×#529C2214yescomplemented
34C2×C11×#125C2211yescharacteristic, complemented
35C11×#520C2212yescomplemented
36C4×C11×#41C2211yescharacteristic, complemented
37#10623364C2212yescomplemented
38#10623364C2212yescomplemented
39#10623363C2212yescomplemented
40#10623358C2212yescomplemented
41#41×Dic11C2211yescharacteristic, complemented
42#10623262C2212yescomplemented
43#10623256C2211yescharacteristic, complemented
44D11×C4⋊Q8C2211yescharacteristic
45#10623250C2212yescomplemented
46#10623247C2211yescharacteristic, complemented
47D11×#127C2211yescharacteristic
48#10623240C2218yescomplemented
49#10623240C2218yescomplemented
50#10623240C2218yescomplemented
51#10623239C2218yescomplemented
52#10623237C2218yescomplemented
53D11×#126C2218yes—
54D11×#126C2218yes—
55#10623232C2218yescomplemented
56#10623229C2212yescomplemented
57#10623228C2212yescomplemented
58#10623227C2218yescomplemented
59#10623226C2218yescomplemented
60#10623226C2214yescomplemented
61#10623225C2214yescomplemented
62#10623224C2218yescomplemented
63#10623222C2214yescomplemented
64D11×#125C2214yes—
65D11×#125C2218yes—
66D11×#125C2212yes—
67D11×#125C2212yes—
68D11×#125C2214yescomplemented
69D11×#125C2212yescomplemented
70D11×#125C2212yescomplemented
71#10623211C2214yescomplemented
72D11×#124C2212yes—
73#10623199C2212yescomplemented
74#10623194C2218yescomplemented
75#10623192C2218yescomplemented
76#10623192C2218yescomplemented
77#10623192C2218yescomplemented
78D11×#123C2218yes—
79D11×#123C2218yes—
80#10623181C2218yescomplemented
81#10623180C2218yescomplemented
82#10623173C2214yescomplemented
83#10623170C2214yescomplemented
84#10623160C2214yescomplemented
85#10623160C2214yescomplemented
86D11×C22⋊Q8C2214yes—
87D11×C22⋊Q8C2214yes—
88#10623156C2214yescomplemented
89#10623155C2214yescomplemented
90#10623150C2214yescomplemented
91#10623149C2218yescomplemented
92#10623149C2214yescomplemented
93#10623146C2218yescomplemented
94#10623145C2218yescomplemented
95#10623145C2214yescomplemented
96#10623139C2214yescomplemented
97#10623139C2214yescomplemented
98D11×#121C2214yes—
99D11×#121C2214yes—
100D11×#121C2214yes—
101D11×#121C2218yes—
102D11×#121C2218yes—
103#10623132C2218yescomplemented
104#10623132C2218yescomplemented
105#10623132C2218yescomplemented
106#10623131C2214yescomplemented
107#10623128C2218yescomplemented
108#10623127C2214yescomplemented
109#10623114C2214yescomplemented
110#10623112C2214yescomplemented
111#10623111C2214yescomplemented
112#10623105C2214yescomplemented
113C4×#4343C2212yescomplemented
114C4×Q8×D11C2212yes—
115C4×Q8×D11C2214yes—
116#10623096C2214yescomplemented
117#10623096C2218yescomplemented
118#10623093C2214yescomplemented
119#10623089C2218yescomplemented
120#10623089C2214yescomplemented
121#10623088C2214yescomplemented
122#10623079C2214yescomplemented
123#10623077C2214yescomplemented
124#10623077C2218yescomplemented
125C4×D4×D11C2214yes—
126C4×D4×D11C2218yes—
127C4×D4×D11C2214yes—
128C4×D4×D11C2214yes—
129C4×D4×D11C2212yes—
130C4×D4×D11C2218yes—
131#10623072C2214yescomplemented
132#10623071C2218yescomplemented
133#10623071C2218yescomplemented
134#10623071C2218yescomplemented
135#10623069C2218yescomplemented
136C4×#4341C2214yescomplemented
137C4×#4341C2212yescomplemented
138#10623066C2212yescomplemented
139#10623062C2218yescomplemented
140#10623061C2218yescomplemented
141#10623061C2214yescomplemented
142#10623060C2214yescomplemented
143#10623059C2218yescomplemented
144#10623054C2214yescomplemented
145#10623054C2212yescomplemented
146#10623053C2211yescharacteristic, complemented
147#10623053C2212yescomplemented
148D11×#117C2218yes—
149D11×#117C2214yes—
150D11×#117C2212yes—
151D11×#117C2211yescharacteristic
152#10623049C2212yescomplemented
153#10623045C2214yescomplemented
154#10623045C2218yescomplemented
155#10623044C2214yescomplemented
156#10623041C2212yescomplemented
157#10623035C2214yescomplemented
158#10623035C2212yescomplemented
159C2×C4⋊C4×D11C2214yes—
160C2×C4⋊C4×D11C2214yes—
161C2×C4⋊C4×D11C2212yes—
162C2×#66943C2212yescomplemented
163C2×#66942C2214yescomplemented
164#10623010C2214yescomplemented
165#10623008C2211yescharacteristic, complemented
166C4×#4339C2212yescomplemented
167C4×#4339C2211yescharacteristic, complemented
168C2×C42×D11C2211yescharacteristic
169C2×C42×D11C2212yes—
170C2×#66923C2211yescharacteristic, complemented
171C2×C11×#41C2311yescharacteristic
172C2×C11×#41C2312yes—
173#41×D11—216no—
174#41×D11—28no—
175C2×#4343C2312yes—
176C2×#4343C2311yescharacteristic
177C2×Q8×D11C2312yes—
178C2×Q8×D11C2311yescharacteristic
179C2×#4341C2312yes—
180C2×#4341C2312yes—
181C2×#4341C2311yescharacteristic
182C2×#4341C2314yes—
183C2×D4×D11C2312yes—
184C2×D4×D11C2312yes—
185C2×D4×D11C2314yes—
186C2×D4×D11C2311yescharacteristic
187C2×D4×D11C2314yes—
188C2×D4×D11C2318yes—
189C2×#4339C2311yescharacteristic
190C2×#4339C2312yes—
191C2×#4339C2312yes—
192C2×#4339C2314yes—
193C22×C4×D11C2312yes—
194C22×C4×D11C2314yes—
195C22×C4×D11C2312yes—
196C22×C4×D11C2314yes—
197C22×C4×D11C2314yes—
198C22×C4×D11C2318yes—
199C22×C4×D11C2311yescharacteristic
200C11×C4⋊Q8C2311yescharacteristic
201C11×#127C2311yescharacteristic
202C11×#126C2318yes—
203C11×#126C2318yes—
204C11×#125C2312yes—
205C11×#125C2312yes—
206C11×#125C2314yes—
207C11×#125C2318yes—
208C11×#124C2312yes—
209C11×#123C2318yes—
210C11×#123C2318yes—
211C11×C22⋊Q8C2314yes—
212C11×C22⋊Q8C2314yes—
213C11×#121C2314yes—
214C11×#121C2318yes—
215C11×#121C2314yes—
216C11×#121C2318yes—
217C11×#121C2314yes—
218C4×Q8×C11C2312yes—
219C4×Q8×C11C2314yes—
220C4×D4×C11C2314yes—
221C4×D4×C11C2312yes—
222C4×D4×C11C2318yes—
223C4×D4×C11C2318yes—
224C4×D4×C11C2314yes—
225C4×D4×C11C2314yes—
226C11×#117C2312yes—
227C11×#117C2311yescharacteristic
228C11×#117C2314yes—
229C11×#117C2318yes—
230C2×C11×C4⋊C4C2314yes—
231C2×C11×C4⋊C4C2312yes—
232C2×C11×C4⋊C4C2314yes—
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2312yes—
235#67000C2312yes—
236#66999C2314yes—
237#66999C2314yes—
238Q8×Dic11C2314yes—
239Q8×Dic11C2312yes—
240#66997C2312yes—
241#66993C2314yes—
242#66993C2312yes—
243#66992C2318yes—
244#66992C2318yes—
245#66992C2314yes—
246#66992C2318yes—
247#66992C2318yes—
248#66992C2318yes—
249#66992C2318yes—
250#66992C2314yes—
251#66991C2314yes—
252#66991C2314yes—
253#66991C2314yes—
254#66991C2318yes—
255#66991C2318yes—
256#66989C2312yes—
257#66988C2318yes—
258#66988C2318yes—
259D4×Dic11C2314yes—
260D4×Dic11C2314yes—
261D4×Dic11C2314yes—
262D4×Dic11C2312yes—
263D4×Dic11C2318yes—
264D4×Dic11C2318yes—
265#66983C2314yes—
266#66983C2314yes—
267#66983C2318yes—
268#66983C2318yes—
269#66983C2314yes—
270#66982C2318yes—
271#66982C2318yes—
272C4×C22⋊D11C2314yes—
273C4×C22⋊D11C2314yes—
274C4×C22⋊D11C2314yes—
275C4×C22⋊D11C2318yes—
276C4×C22⋊D11C2318yes—
277C4×C22⋊D11C2318yes—
278C4×C22⋊D11C2318yes—
279C4×C22⋊D11C2314yes—
280C4×C22⋊D11C2318yes—
281C4×C22⋊D11C2314yes—
282#66979C2311yescharacteristic
283#66979C2312yes—
284#66979C2314yes—
285#66979C2318yes—
286C2×C4⋊Dic11C2312yes—
287C2×C4⋊Dic11C2314yes—
288C2×C4⋊Dic11C2314yes—
289#66977C2314yes—
290#66977C2314yes—
291C2×Dic11⋊C4C2314yes—
292C2×Dic11⋊C4C2314yes—
293C2×Dic11⋊C4C2314yes—
294C2×Dic11⋊C4C2318yes—
295C2×C4×Dic11C2312yes—
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2312yes—
298C2×C4×Dic11C2314yes—
299#66951C2318yes—
300#66951C2318yes—
301#66951C2318yes—
302#66951C2318yes—
303#66951C2318yes—
304#66951C2318yes—
305#66950C2314yes—
306#66950C2314yes—
307#66949C2318yes—
308#66949C2318yes—
309#66948C2314yes—
310#66948C2318yes—
311#66948C2318yes—
312#66948C2314yes—
313#66948C2314yes—
314#66947C2318yes—
315#66947C2318yes—
316#66947C2318yes—
317#66947C2318yes—
318#66946C2318yes—
319#66946C2314yes—
320#66946C2318yes—
321#66946C2314yes—
322#66946C2312yes—
323#66946C2314yes—
324#66945C2318yes—
325#66945C2318yes—
326#66945C2312yes—
327#66945C2314yes—
328#66945C2314yes—
329#66945C2314yes—
330C4⋊C4×D11C2314yes—
331C4⋊C4×D11C2318yes—
332C4⋊C4×D11C2318yes—
333C4⋊C4×D11C2318yes—
334C4⋊C4×D11C2318yes—
335C4⋊C4×D11C2318yes—
336C4⋊C4×D11C2318yes—
337C4⋊C4×D11C2318yes—
338C4⋊C4×D11C2312yes—
339C4⋊C4×D11C2314yes—
340C4⋊C4×D11C2314yes—
341C4⋊C4×D11C2314yes—
342C4⋊C4×D11C2314yes—
343C4⋊C4×D11C2314yes—
344C4⋊C4×D11C2314yes—
345C4⋊C4×D11C2314yes—
346#66943C2318yes—
347#66943C2318yes—
348#66943C2314yes—
349#66943C2314yes—
350#66943C2314yes—
351#66943C2314yes—
352#66942C2318yes—
353#66942C2318yes—
354#66942C2318yes—
355#66942C2318yes—
356#66942C2318yes—
357#66942C2318yes—
358#66942C2318yes—
359#66942C2318yes—
360#66941C2314yes—
361#66940C2318yes—
362#66940C2314yes—
363#66940C2312yes—
364#66940C2314yes—
365#66939C2318yes—
366#66939C2318yes—
367#66938C2314yes—
368#66938C2314yes—
369#66937C2318yes—
370#66937C2318yes—
371#66937C2318yes—
372#66937C2314yes—
373#66937C2318yes—
374#66937C2318yes—
375#66937C2318yes—
376#66937C2314yes—
377#66936C2318yes—
378#66936C2318yes—
379#66936C2318yes—
380#66936C2318yes—
381(C22⋊D11)⋊C4C2318yes—
382(C22⋊D11)⋊C4C2318yes—
383(C22⋊D11)⋊C4C2314yes—
384(C22⋊D11)⋊C4C2314yes—
385(C22⋊D11)⋊C4C2314yes—
386(C22⋊D11)⋊C4C2318yes—
387(C22⋊D11)⋊C4C2318yes—
388(C22⋊D11)⋊C4C2314yes—
389(C22⋊D11)⋊C4C2318yes—
390(C22⋊D11)⋊C4C2314yes—
391C22⋊C4×D11C2314yes—
392C22⋊C4×D11C2314yes—
393C22⋊C4×D11C2318yes—
394C22⋊C4×D11C2318yes—
395C22⋊C4×D11C2318yes—
396C22⋊C4×D11C2314yes—
397C22⋊C4×D11C2312yes—
398#66932C2318yes—
399#66932C2318yes—
400#66932C2318yes—
401#66932C2318yes—
402#66932C2318yes—
403#66932C2318yes—
404#66931C2318yes—
405#66931C2318yes—
406#66930C2314yes—
407#66930C2318yes—
408#66930C2318yes—
409#66930C2318yes—
410#66930C2312yes—
411#66929C2318yes—
412#66929C2318yes—
413#66928C2312yes—
414#66927C2311yescharacteristic
415C4×D44C2314yes—
416C4×D44C2318yes—
417C4×D44C2318yes—
418C4×D44C2312yes—
419C4×D44C2314yes—
420C4×D44C2314yes—
421#66925C2318yes—
422#66925C2318yes—
423#66925C2318yes—
424#66925C2312yes—
425#66925C2312yes—
426#66925C2312yes—
427C42×D11C2314yes—
428C42×D11C2318yes—
429C42×D11C2314yes—
430C42×D11C2311yescharacteristic
431C42×D11C2311yescharacteristic
432C42×D11C2311yescharacteristic
433C42×D11C2311yescharacteristic
434C42×D11C2312yes—
435C42×D11C2312yes—
436C42×D11C2312yes—
437C42×D11C2312yes—
438C42×D11C2312yes—
439#66923C2318yes—
440#66923C2312yes—
441#66923C2312yes—
442#66923C2314yes—
443#66922C2311yescharacteristic
444C4×Dic22C2318yes—
445C4×Dic22C2314yes—
446C4×Dic22C2312yes—
447C4×Dic22C2314yes—
448C2×#3512—111nomaximal, Sylow
449C23×D11C2414yes—
450C23×D11C2412yes—
451C23×D11C2411yescharacteristic
452C11×#41—24no—
453C11×#41—28no—
454C2×Q8×C11C2412yes—
455C2×Q8×C11C2411yescharacteristic
456C2×D4×C11C2412yes—
457C2×D4×C11C2411yescharacteristic
458C2×D4×C11C2412yes—
459C2×D4×C11C2414yes—
460C2×D4×C11C2414yes—
461C2×D4×C11C2418yes—
462C22×C4×C11C2412yes—
463C22×C4×C11C2414yes—
464C22×C4×C11C2412yes—
465C22×C4×C11C2414yes—
466C22×C4×C11C2414yes—
467C22×C4×C11C2418yes—
468C22×C4×C11C2411yescharacteristic
469C2×C22⋊D11C2412yes—
470C2×C22⋊D11C2414yes—
471C2×C22⋊D11C2412yes—
472C2×C22⋊D11C2414yes—
473C2×C22⋊D11C2412yes—
474C2×C22⋊D11C2414yes—
475C2×C22⋊D11C2414yes—
476C2×C22⋊D11C2418yes—
477C2×C22⋊D11C2418yes—
478C2×C22⋊D11C2414yes—
479C22×Dic11C2412yes—
480C22×Dic11C2414yes—
481C22×Dic11C2418yes—
482C22×Dic11C2414yes—
483C22×Dic11C2412yes—
484C22×Dic11C2414yes—
485C22×Dic11C2411yescharacteristic
486#4343—24no—
487#4343—28no—
488Q8×D11—24no—
489Q8×D11—28no—
490#4341—28no—
491#4341—216no—
492#4341—24no—
493#4341—28no—
494D4×D11—24no—
495D4×D11—28no—
496D4×D11—28no—
497D4×D11—216no—
498D4×D11—48no—
499D4×D11—416no—
500#4339—216no—
501#4339—28no—
502#4339—24no—
503#4339—28no—
504C2×D44C2412yes—
505C2×D44C2412yes—
506C2×D44C2414yes—
507C2×D44C2411yescharacteristic
508C2×D44C2414yes—
509C2×D44C2418yes—
510C2×C4×D11—216no—
511C2×C4×D11—28no—
512C2×C4×D11—44no—
513C2×C4×D11—48no—
514C2×C4×D11—416no—
515C2×C4×D11—48no—
516C2×C4×D11#4118yes—
517C2×C4×D11C2412yes—
518C2×C4×D11C2414yes—
519C2×C4×D11C2412yes—
520C2×C4×D11C2412yes—
521C2×C4×D11C2414yes—
522C2×C4×D11C2412yes—
523C2×C4×D11C2412yes—
524C2×C4×D11C2418yes—
525C2×C4×D11C2414yes—
526C2×C4×D11C2414yes—
527C2×C4×D11C2414yes—
528C2×C4×D11C2414yes—
529C2×C4×D11C2412yes—
530C2×C4×D11C2412yes—
531C2×C4×D11C2418yes—
532C2×C4×D11C2418yes—
533C2×C4×D11C2418yes—
534C2×C4×D11C2411yescharacteristic
535C2×C4×D11C2411yescharacteristic
536C2×C4×D11C2411yescharacteristic
537C2×C4×D11C2411yescharacteristic
538C2×Dic22C2412yes—
539C2×Dic22C2412yes—
540C2×Dic22C2414yes—
541C2×Dic22C2411yescharacteristic
542C11×C4⋊C4C2414yes—
543C11×C4⋊C4C2418yes—
544C11×C4⋊C4C2414yes—
545C11×C4⋊C4C2412yes—
546C11×C4⋊C4C2414yes—
547C11×C4⋊C4C2418yes—
548C11×C4⋊C4C2418yes—
549C11×C4⋊C4C2418yes—
550C11×C4⋊C4C2414yes—
551C11×C22⋊C4C2414yes—
552C11×C22⋊C4C2418yes—
553C11×C22⋊C4C2414yes—
554C11×C22⋊C4C2418yes—
555C11×C22⋊C4C2412yes—
556C11×C22⋊C4C2418yes—
557C11×C22⋊C4C2414yes—
558C42×C11C2412yes—
559C42×C11C2412yes—
560C42×C11C2418yes—
561C42×C11C2414yes—
562C42×C11C2411yescharacteristic
563C42×C11C2411yescharacteristic
564C22⋊Dic11C2414yes—
565C22⋊Dic11C2418yes—
566C22⋊Dic11C2414yes—
567C22⋊Dic11C2418yes—
568C22⋊Dic11C2412yes—
569C22⋊Dic11C2418yes—
570C22⋊Dic11C2414yes—
571(C2×D11)⋊C4C2414yes—
572(C2×D11)⋊C4C2414yes—
573(C2×D11)⋊C4C2414yes—
574(C2×D11)⋊C4C2418yes—
575(C2×D11)⋊C4C2414yes—
576(C2×D11)⋊C4C2414yes—
577(C2×D11)⋊C4C2418yes—
578(C2×D11)⋊C4C2418yes—
579(C2×D11)⋊C4C2418yes—
580(C2×D11)⋊C4C2414yes—
581(C2×D11)⋊C4C2414yes—
582(C2×D11)⋊C4C2418yes—
583(C2×D11)⋊C4C2418yes—
584C4⋊Dic11C2414yes—
585C4⋊Dic11C2418yes—
586C4⋊Dic11C2414yes—
587C4⋊Dic11C2412yes—
588C4⋊Dic11C2414yes—
589C4⋊Dic11C2414yes—
590C4⋊Dic11C2418yes—
591C4⋊Dic11C2418yes—
592C4⋊Dic11C2418yes—
593Dic11⋊C4C2414yes—
594Dic11⋊C4C2418yes—
595Dic11⋊C4C2414yes—
596Dic11⋊C4C2414yes—
597Dic11⋊C4C2418yes—
598Dic11⋊C4C2418yes—
599Dic11⋊C4C2418yes—
600Dic11⋊C4C2414yes—
601Dic11⋊C4C2418yes—
602Dic11⋊C4C2418yes—
603Dic11⋊C4C2418yes—
604Dic11⋊C4C2418yes—
605Dic11⋊C4C2418yes—
606Dic11⋊C4C2414yes—
607Dic11⋊C4C2418yes—
608C4×Dic11C2414yes—
609C4×Dic11C2414yes—
610C4×Dic11C2412yes—
611C4×Dic11C2418yes—
612C4×Dic11C2412yes—
613C4×Dic11C2411yescharacteristic
614C4×Dic11C2414yes—
615C4×Dic11C2412yes—
616C4×Dic11C2411yescharacteristic
617C4×Dic11C2414yes—
618C4×Dic11C2412yes—
619C4×Dic11C2412yes—
620C4×Dic11C2412yes—
621C4×Dic11C2418yes—
622C4×Dic11C2418yes—
623#3512—118no—
624#3512—114no—
625#3512—114no—
626#3512—112no—
627#3512—112no—
628#3512—112no—
629#3512—111no—
630#3512—114no—
631#3512—111no—
632#3512—112no—
633#3512—111no—
634#3512D1111yescharacteristic, direct product factor
635C2×#553—114no—
636C2×#553—118no—
637C2×#552—114no—
638C2×#541—112no—
639C2×#540—112no—
640C2×#537—112no—
641C2×#532—111no—
642C2×#529—114no—
643C22×#125—111no—
644C2×#520—112no—
645C2×C4×#41—111no—
646C23×C11C2514yes—
647C23×C11C2512yes—
648C23×C11C2511yescharacteristic
649C22×D11—24no—
650C22×D11—28no—
651C22×D11—24no—
652C22×D11—28no—
653C22×D11—28no—
654C22×D11—28no—
655C22×D11C2×#4114yes—
656C22×D11C2514yes—
657C22×D11C2512yes—
658C22×D11C2511yescharacteristic
659C22×D11C2511yescharacteristic
660Q8×C11—22no—
661Q8×C11—24no—
662D4×C11—24no—
663D4×C11—28no—
664D4×C11—22no—
665D4×C11—24no—
666D4×C11—48no—
667D4×C11—44no—
668C2×C4×C11—28no—
669C2×C4×C11—24no—
670C2×C4×C11—44no—
671C2×C4×C11—48no—
672C2×C4×C11—42no—
673C2×C4×C11—44no—
674C2×C4×C11C2×#4114yes—
675C2×C4×C11C2512yes—
676C2×C4×C11C2514yes—
677C2×C4×C11C2512yes—
678C2×C4×C11C2512yes—
679C2×C4×C11C2514yes—
680C2×C4×C11C2518yes—
681C2×C4×C11C2511yescharacteristic
682C2×C4×C11C2511yescharacteristic
683C22⋊D11—24no—
684C22⋊D11—28no—
685C22⋊D11—28no—
686C22⋊D11—24no—
687C22⋊D11—28no—
688C22⋊D11—24no—
689C22⋊D11—48no—
690C22⋊D11—48no—
691C22⋊D11—44no—
692C22⋊D11—44no—
693C2×Dic11—24no—
694C2×Dic11—28no—
695C2×Dic11—44no—
696C2×Dic11—48no—
697C2×Dic11—42no—
698C2×Dic11—44no—
699C2×Dic11C2×#4114yes—
700C2×Dic11C2514yes—
701C2×Dic11C2512yes—
702C2×Dic11C2512yes—
703C2×Dic11C2512yes—
704C2×Dic11C2514yes—
705C2×Dic11C2518yes—
706C2×Dic11C2511yescharacteristic
707C2×Dic11C2511yescharacteristic
708D44—24no—
709D44—28no—
710D44—22no—
711D44—24no—
712D44—48no—
713D44—44no—
714C4×D11—28no—
715C4×D11—24no—
716C4×D11—24no—
717C4×D11—28no—
718C4×D11—216no—
719C4×D11—24no—
720C4×D11—28no—
721C4×D11—24no—
722C4×D11—24no—
723C4×D11—28no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11—48no—
727C4×D11—42no—
728C4×D11—48no—
729C4×D11—48no—
730C4×D11—42no—
731C4×D11C2×#4114yes—
732C4×D11C2×#4114yes—
733C4×D11C2×#4114yes—
734C4×D11C2×#4114yes—
735Dic22—22no—
736Dic22—24no—
737Dic22—28no—
738Dic22—24no—
739C22×#41—111no—
740C22×#41—112no—
741#553—118no—
742#553—118no—
743#553—118no—
744#553—114no—
745#553—118no—
746#553—118no—
747#553—118no—
748#553—118no—
749#553—118no—
750#553—118no—
751#553—118no—
752#553—114no—
753#553—118no—
754#553—114no—
755#553—118no—
756#553—118no—
757#553—118no—
758#553—118no—
759#553—114no—
760#553—118no—
761#553—114no—
762#553—118no—
763#553—114no—
764#553—118no—
765#553—114no—
766#553—118no—
767#553C2×D1114yescomplemented
768#553C2×D1118yescomplemented
769#552—118no—
770#552—118no—
771#552—114no—
772#552—118no—
773#552—114no—
774#552—114no—
775#552—114no—
776#552—114no—
777#552—114no—
778#552—118no—
779#552—114no—
780#552C2×D1114yescomplemented
781#541—112no—
782#541—118no—
783#541—118no—
784#541—112no—
785#541—114no—
786#541—114no—
787#541—112no—
788#541C2×D1112yescomplemented
789#540—112no—
790#540—112no—
791#540—118no—
792#540—118no—
793#540—114no—
794#540—114no—
795#540—112no—
796#540C2×D1112yescomplemented
797#537—112no—
798#537—112no—
799#537—114no—
800#537—114no—
801#537—118no—
802#537—114no—
803#537—114no—
804#537—112no—
805#537C2×D1112yescomplemented
806#532—112no—
807#532—111no—
808#532—111no—
809#532—112no—
810#532—114no—
811#532—114no—
812#532—111no—
813#532C2×D1111yescharacteristic, complemented
814C2×C4⋊Q8—111no—
815C2×#127—111no—
816#529—118no—
817#529—114no—
818#529—114no—
819#529—118no—
820#529—114no—
821#529—114no—
822#529—114no—
823#529—118no—
824#529—114no—
825#529—118no—
826#529—114no—
827#529C2×D1114yescomplemented
828C2×#126—118no—
829C2×#126—118no—
830C2×#125—112no—
831C2×#125—112no—
832C2×#125—114no—
833C2×#125—114no—
834C2×#125—112no—
835C2×#125—112no—
836C2×#125—118no—
837C2×#125—114no—
838C2×#125—112no—
839C2×#125—111no—
840C2×#125C2×D1111yescharacteristic, complemented
841C2×#124—112no—
842C2×#123—118no—
843C2×#123—118no—
844C2×C22⋊Q8—114no—
845C2×C22⋊Q8—114no—
846C2×#121—114no—
847C2×#121—114no—
848C2×#121—118no—
849C2×#121—114no—
850C2×#121—118no—
851#520—112no—
852#520—114no—
853#520—118no—
854#520—114no—
855#520—112no—
856#520—114no—
857#520—114no—
858#520—112no—
859#520C2×D1112yescomplemented
860C4×#41—111no—
861C4×#41—112no—
862C4×#41—114no—
863C4×#41—112no—
864C4×#41—111no—
865C4×#41—112no—
866C4×#41—112no—
867C4×#41—111no—
868C4×#41C2×D1111yescharacteristic, complemented
869C2×C4×Q8—112no—
870C2×C4×Q8—114no—
871C2×C4×D4—114no—
872C2×C4×D4—112no—
873C2×C4×D4—114no—
874C2×C4×D4—118no—
875C2×C4×D4—118no—
876C2×C4×D4—114no—
877C2×#117—111no—
878C2×#117—112no—
879C2×#117—114no—
880C2×#117—118no—
881C22×C4⋊C4—112no—
882C22×C4⋊C4—114no—
883C22×C4⋊C4—114no—
884C22×C42—111no—
885C22×C42—112no—
886C22×C11—22no—
887C22×C11—24no—
888C22×C11—22no—
889C22×C11—24no—
890C22×C11—24no—
891C22×C11—24no—
892C22×C11C22×#4112yes—
893C22×C11C2611yescharacteristic
894C2×D11—22no—
895C2×D11—28no—
896C2×D11—24no—
897C2×D11—22no—
898C2×D11—24no—
899C2×D11—24no—
900C2×D11—24no—
901C2×D11—416no—
902C2×D11—48no—
903C2×D11C22×#4112yes—
904C2×D11C22×#4112yes—
905C2×D11#58514yes—
906C4×C11—24no—
907C4×C11—22no—
908C4×C11—22no—
909C4×C11—24no—
910C4×C11—28no—
911C4×C11—22no—
912C4×C11C22×#4112yes—
913C4×C11C22×#4112yes—
914Dic11—22no—
915Dic11—24no—
916Dic11—22no—
917Dic11—24no—
918Dic11—28no—
919Dic11—22no—
920Dic11C22×#4112yes—
921Dic11C22×#4112yes—
922C2×#41—111no—
923C2×#41—112no—
924C2×#41—112no—
925C2×#41—111no—
926C2×#41—114no—
927C2×#41—112no—
928C2×#41—112no—
929C2×#41—111no—
930C2×#41—114no—
931C2×#41—112no—
932C2×#41—228no—
933C2×#41—2216no—
934C2×#41C22×D1111yescharacteristic
935C2×#41C22×D1112yes—
936C22×Q8—111no—
937C22×Q8—112no—
938C22×D4—111no—
939C22×D4—112no—
940C22×D4—114no—
941C22×D4—112no—
942C22×D4—118no—
943C22×D4—114no—
944C23×C4—111no—
945C23×C4—114no—
946C23×C4—112no—
947C23×C4—114no—
948C23×C4—112no—
949C23×C4—118no—
950C23×C4—114no—
951C4⋊Q8—112no—
952C4⋊Q8—114no—
953C4⋊Q8—111no—
954C4⋊Q8C22×D1111yescharacteristic
955#127—114no—
956#127—112no—
957#127—111no—
958#127C22×D1111yescharacteristic
959#126—118no—
960#126—118no—
961#126—118no—
962#126—118no—
963#126—118no—
964#126—118no—
965#126—118no—
966#126—118no—
967#126—118no—
968#126—118no—
969#126—118no—
970#126—118no—
971#126—118no—
972#126—118no—
973#126C22×D1118yes—
974#126C22×D1118yes—
975#125—118no—
976#125—114no—
977#125—118no—
978#125—114no—
979#125—118no—
980#125—118no—
981#125—114no—
982#125—114no—
983#125—118no—
984#125—118no—
985#125—118no—
986#125—118no—
987#125—118no—
988#125—118no—
989#125—112no—
990#125—112no—
991#125—114no—
992#125—118no—
993#125C22×D1112yes—
994#125C22×D1112yes—
995#125C22×D1114yes—
996#125C22×D1118yes—
997#124—112no—
998#124—112no—
999#124—114no—
1000#124—114no—
1001#124—112no—
1002#124C22×D1112yes—
1003#123—118no—
1004#123—118no—
1005#123—118no—
1006#123—118no—
1007#123—118no—
1008#123—118no—
1009#123—118no—
1010#123—118no—
1011#123—118no—
1012#123—118no—
1013#123—118no—
1014#123—118no—
1015#123—118no—
1016#123—118no—
1017#123C22×D1118yes—
1018#123C22×D1118yes—
1019C22⋊Q8—114no—
1020C22⋊Q8—114no—
1021C22⋊Q8—114no—
1022C22⋊Q8—114no—
1023C22⋊Q8—118no—
1024C22⋊Q8—114no—
1025C22⋊Q8—118no—
1026C22⋊Q8—114no—
1027C22⋊Q8—118no—
1028C22⋊Q8—118no—
1029C22⋊Q8C22×D1114yes—
1030C22⋊Q8C22×D1114yes—
1031#121—114no—
1032#121—118no—
1033#121—114no—
1034#121—114no—
1035#121—114no—
1036#121—118no—
1037#121—114no—
1038#121—118no—
1039#121—118no—
1040#121—118no—
1041#121—118no—
1042#121—118no—
1043#121—118no—
1044#121—114no—
1045#121—114no—
1046#121—118no—
1047#121—114no—
1048#121—118no—
1049#121—114no—
1050#121—114no—
1051#121—118no—
1052#121—114no—
1053#121—118no—
1054#121—118no—
1055#121—114no—
1056#121—114no—
1057#121—118no—
1058#121—118no—
1059#121—118no—
1060#121—118no—
1061#121—118no—
1062#121C22×D1114yes—
1063#121C22×D1114yes—
1064#121C22×D1118yes—
1065#121C22×D1114yes—
1066#121C22×D1118yes—
1067C4×Q8—112no—
1068C4×Q8—114no—
1069C4×Q8—114no—
1070C4×Q8—112no—
1071C4×Q8—118no—
1072C4×Q8—114no—
1073C4×Q8—112no—
1074C4×Q8—114no—
1075C4×Q8—118no—
1076C4×Q8—114no—
1077C4×Q8C22×D1112yes—
1078C4×Q8C22×D1114yes—
1079C4×D4—114no—
1080C4×D4—112no—
1081C4×D4—114no—
1082C4×D4—118no—
1083C4×D4—118no—
1084C4×D4—114no—
1085C4×D4—114no—
1086C4×D4—114no—
1087C4×D4—114no—
1088C4×D4—118no—
1089C4×D4—118no—
1090C4×D4—118no—
1091C4×D4—118no—
1092C4×D4—118no—
1093C4×D4—114no—
1094C4×D4—114no—
1095C4×D4—114no—
1096C4×D4—112no—
1097C4×D4—114no—
1098C4×D4—118no—
1099C4×D4—118no—
1100C4×D4—114no—
1101C4×D4—114no—
1102C4×D4—114no—
1103C4×D4—114no—
1104C4×D4—118no—
1105C4×D4—118no—
1106C4×D4—118no—
1107C4×D4—118no—
1108C4×D4—118no—
1109C4×D4—114no—
1110C4×D4—114no—
1111C4×D4—114no—
1112C4×D4—112no—
1113C4×D4—114no—
1114C4×D4—118no—
1115C4×D4—118no—
1116C4×D4—114no—
1117C4×D4C22×D1114yes—
1118C4×D4C22×D1112yes—
1119C4×D4C22×D1114yes—
1120C4×D4C22×D1118yes—
1121C4×D4C22×D1118yes—
1122C4×D4C22×D1114yes—
1123#117—111no—
1124#117—112no—
1125#117—114no—
1126#117—118no—
1127#117—112no—
1128#117—114no—
1129#117—114no—
1130#117—114no—
1131#117—118no—
1132#117—118no—
1133#117—112no—
1134#117—114no—
1135#117—118no—
1136#117—118no—
1137#117—118no—
1138#117—112no—
1139#117—112no—
1140#117—112no—
1141#117—118no—
1142#117—118no—
1143#117—118no—
1144#117C22×D1111yescharacteristic
1145#117C22×D1112yes—
1146#117C22×D1114yes—
1147#117C22×D1118yes—
1148C2×C4⋊C4—114no—
1149C2×C4⋊C4—112no—
1150C2×C4⋊C4—118no—
1151C2×C4⋊C4—114no—
1152C2×C4⋊C4—114no—
1153C2×C4⋊C4—114no—
1154C2×C4⋊C4—114no—
1155C2×C4⋊C4—112no—
1156C2×C4⋊C4—114no—
1157C2×C4⋊C4—118no—
1158C2×C4⋊C4—114no—
1159C2×C4⋊C4—118no—
1160C2×C4⋊C4—114no—
1161C2×C4⋊C4—114no—
1162C2×C4⋊C4—118no—
1163C2×C4⋊C4—114no—
1164C2×C4⋊C4—114no—
1165C2×C4⋊C4—118no—
1166C2×C4⋊C4—118no—
1167C2×C4⋊C4—118no—
1168C2×C4⋊C4—114no—
1169C2×C4⋊C4—118no—
1170C2×C4⋊C4—114no—
1171C2×C4⋊C4C22×D1112yes—
1172C2×C4⋊C4C22×D1114yes—
1173C2×C4⋊C4C22×D1114yes—
1174C2×C22⋊C4—114no—
1175C2×C22⋊C4—112no—
1176C2×C22⋊C4—114no—
1177C2×C22⋊C4—118no—
1178C2×C22⋊C4—118no—
1179C2×C22⋊C4—114no—
1180C2×C22⋊C4—118no—
1181C2×C42—112no—
1182C2×C42—111no—
1183C2×C42—114no—
1184C2×C42—112no—
1185C2×C42—112no—
1186C2×C42—118no—
1187C2×C42—114no—
1188C2×C42—111no—
1189C2×C42—112no—
1190C2×C42—112no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—114no—
1194C2×C42—112no—
1195C2×C42—112no—
1196C2×C42—111no—
1197C2×C42C22×D1111yescharacteristic
1198C2×C42C22×D1112yes—
1199C2×C11—22no—
1200C2×C11—44no—
1201C2×C11—42no—
1202C2×C11C23×#4111yescharacteristic
1203C2×C11C2×#58512yes—
1204D11—22no—
1205D11—44no—
1206D11—42no—
1207D11#351214yesdirect product factor
1208C24—111no—
1209C24—114no—
1210C24—112no—
1211#41—24no—
1212#41—28no—
1213#41—228no—
1214#41—2216no—
1215#41—228no—
1216#41—2216no—
1217#41—224no—
1218#41—228no—
1219#41—224no—
1220#41—228no—
1221#41—224no—
1222#41—228no—
1223C2×Q8—112no—
1224C2×Q8—111no—
1225C2×Q8—114no—
1226C2×Q8—112no—
1227C2×Q8—224no—
1228C2×Q8—228no—
1229C2×Q8C23×D1111yescharacteristic
1230C2×Q8C23×D1112yes—
1231C2×D4—112no—
1232C2×D4—112no—
1233C2×D4—114no—
1234C2×D4—112no—
1235C2×D4—114no—
1236C2×D4—114no—
1237C2×D4—118no—
1238C2×D4—118no—
1239C2×D4—114no—
1240C2×D4—114no—
1241C2×D4—112no—
1242C2×D4—114no—
1243C2×D4—111no—
1244C2×D4—112no—
1245C2×D4—118no—
1246C2×D4—114no—
1247C2×D4—224no—
1248C2×D4—228no—
1249C2×D4—228no—
1250C2×D4—2216no—
1251C2×D4—4416no—
1252C2×D4—448no—
1253C2×D4C23×D1112yes—
1254C2×D4C23×D1114yes—
1255C2×D4C23×D1111yescharacteristic
1256C2×D4C23×D1112yes—
1257C2×D4C23×D1118yes—
1258C2×D4C23×D1114yes—
1259C22×C4—111no—
1260C22×C4—118no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—112no—
1266C22×C4—114no—
1267C22×C4—112no—
1268C22×C4—114no—
1269C22×C4—114no—
1270C22×C4—118no—
1271C22×C4—114no—
1272C22×C4—112no—
1273C22×C4—114no—
1274C22×C4—112no—
1275C22×C4—112no—
1276C22×C4—112no—
1277C22×C4—112no—
1278C22×C4—118no—
1279C22×C4—114no—
1280C22×C4—114no—
1281C22×C4—112no—
1282C22×C4—112no—
1283C22×C4—114no—
1284C22×C4—114no—
1285C22×C4—118no—
1286C22×C4—118no—
1287C22×C4—118no—
1288C22×C4—2216no—
1289C22×C4—228no—
1290C22×C4—448no—
1291C22×C4—4416no—
1292C22×C4—444no—
1293C22×C4—448no—
1294C22×C4C23×D1112yes—
1295C22×C4C23×D1114yes—
1296C22×C4C23×D1112yes—
1297C22×C4C23×D1114yes—
1298C22×C4C23×D1114yes—
1299C22×C4C23×D1118yes—
1300C22×C4C23×D1111yescharacteristic
1301C4⋊C4—114no—
1302C4⋊C4—112no—
1303C4⋊C4—118no—
1304C4⋊C4—114no—
1305C4⋊C4—118no—
1306C4⋊C4—118no—
1307C4⋊C4—118no—
1308C4⋊C4—118no—
1309C4⋊C4—114no—
1310C4⋊C4—118no—
1311C4⋊C4—118no—
1312C4⋊C4—118no—
1313C4⋊C4—118no—
1314C4⋊C4—118no—
1315C4⋊C4—118no—
1316C4⋊C4—114no—
1317C4⋊C4—114no—
1318C4⋊C4—114no—
1319C4⋊C4—118no—
1320C4⋊C4—118no—
1321C4⋊C4—118no—
1322C4⋊C4—114no—
1323C4⋊C4—114no—
1324C4⋊C4—114no—
1325C4⋊C4C23×D1112yes—
1326C4⋊C4C23×D1114yes—
1327C4⋊C4C23×D1118yes—
1328C4⋊C4C23×D1114yes—
1329C4⋊C4C23×D1118yes—
1330C4⋊C4C23×D1118yes—
1331C4⋊C4C23×D1114yes—
1332C4⋊C4C23×D1118yes—
1333C4⋊C4C23×D1114yes—
1334C22⋊C4—114no—
1335C22⋊C4—112no—
1336C22⋊C4—114no—
1337C22⋊C4—118no—
1338C22⋊C4—118no—
1339C22⋊C4—114no—
1340C22⋊C4—118no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—114no—
1344C22⋊C4—114no—
1345C22⋊C4—114no—
1346C22⋊C4—118no—
1347C22⋊C4—118no—
1348C22⋊C4—118no—
1349C22⋊C4—118no—
1350C22⋊C4—114no—
1351C22⋊C4—114no—
1352C22⋊C4—118no—
1353C22⋊C4—118no—
1354C22⋊C4C23×D1114yes—
1355C22⋊C4C23×D1112yes—
1356C22⋊C4C23×D1114yes—
1357C22⋊C4C23×D1118yes—
1358C22⋊C4C23×D1118yes—
1359C22⋊C4C23×D1114yes—
1360C22⋊C4C23×D1118yes—
1361C42—112no—
1362C42—111no—
1363C42—114no—
1364C42—112no—
1365C42—114no—
1366C42—114no—
1367C42—114no—
1368C42—112no—
1369C42—111no—
1370C42—112no—
1371C42—112no—
1372C42—112no—
1373C42—118no—
1374C42—118no—
1375C42—118no—
1376C42C23×D1111yescharacteristic
1377C42C23×D1112yes—
1378C42C23×D1114yes—
1379C42C23×D1111yescharacteristic
1380C42C23×D1112yes—
1381C42C23×D1118yes—
1382C11C2×#351211yescharacteristic, complemented, Sylow
1383C23—111no—
1384C23—114no—
1385C23—111no—
1386C23—114no—
1387C23—112no—
1388C23—224no—
1389C23—228no—
1390C23—224no—
1391C23—228no—
1392C23—228no—
1393C23—228no—
1394C23C24×D1114yes—
1395C23C24×D1112yes—
1396C23C24×D1111yescharacteristic
1397Q8—22no—
1398Q8—24no—
1399Q8—224no—
1400Q8—228no—
1401Q8—222no—
1402Q8—224no—
1403D4—24no—
1404D4—28no—
1405D4—22no—
1406D4—24no—
1407D4—48no—
1408D4—44no—
1409D4—224no—
1410D4—228no—
1411D4—224no—
1412D4—228no—
1413D4—224no—
1414D4—228no—
1415D4—224no—
1416D4—228no—
1417D4—222no—
1418D4—224no—
1419D4—448no—
1420D4—444no—
1421D4—448no—
1422D4—448no—
1423D4—444no—
1424D4—444no—
1425C2×C4—28no—
1426C2×C4—24no—
1427C2×C4—44no—
1428C2×C4—48no—
1429C2×C4—42no—
1430C2×C4—44no—
1431C2×C4—114no—
1432C2×C4—111no—
1433C2×C4—111no—
1434C2×C4—114no—
1435C2×C4—114no—
1436C2×C4—114no—
1437C2×C4—114no—
1438C2×C4—112no—
1439C2×C4—114no—
1440C2×C4—112no—
1441C2×C4—114no—
1442C2×C4—112no—
1443C2×C4—118no—
1444C2×C4—228no—
1445C2×C4—224no—
1446C2×C4—228no—
1447C2×C4—224no—
1448C2×C4—228no—
1449C2×C4—224no—
1450C2×C4—2216no—
1451C2×C4—224no—
1452C2×C4—228no—
1453C2×C4—224no—
1454C2×C4—228no—
1455C2×C4—224no—
1456C2×C4—444no—
1457C2×C4—444no—
1458C2×C4—448no—
1459C2×C4—442no—
1460C2×C4—448no—
1461C2×C4—448no—
1462C2×C4—442no—
1463C2×C4—444no—
1464C2×C4—448no—
1465C2×C4—442no—
1466C2×C4—444no—
1467C2×C4#41×D1114yes—
1468C2×C4C24×D1112yes—
1469C2×C4C24×D1114yes—
1470C2×C4C24×D1112yes—
1471C2×C4C24×D1114yes—
1472C2×C4C24×D1112yes—
1473C2×C4C24×D1118yes—
1474C2×C4C24×D1111yescharacteristic
1475C2×C4C24×D1111yescharacteristic
1476C22—22no—
1477C22—24no—
1478C22—22no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—112no—
1483C22—114no—
1484C22—112no—
1485C22—228no—
1486C22—222no—
1487C22—224no—
1488C22—222no—
1489C22—224no—
1490C22—224no—
1491C22—224no—
1492C22—4416no—
1493C22—448no—
1494C22C2×#41×D1112yes—
1495C22C25×D1111yescharacteristic
1496C4—24no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—28no—
1501C4—22no—
1502C4—112no—
1503C4—112no—
1504C4—222no—
1505C4—224no—
1506C4—222no—
1507C4—224no—
1508C4—228no—
1509C4—222no—
1510C4C2×#41×D1112yes—
1511C4C2×#41×D1112yes—
1512C2—22no—
1513C2—44no—
1514C2—42no—
1515C2—114no—
1516C2—222no—
1517C2—444no—
1518C2—442no—
1519C2C22×#41×D1111yescharacteristic
1520C2D11×#58512yes—
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3512C2
hypercenter#3512D11
hypocenterC11C2×#3512
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #13082540C2semidirect
2. #13082539C2semidirect
3. #13082538C2semidirect
4. #13082537C2semidirect
5. #13082536C2semidirect
6. #13082535C2semidirect
7. #13082534C2semidirect
8. #13082533C2semidirect
9. #13082532C2semidirect
10. #13082531C2semidirect
11. #13082530C2semidirect
12. D11×#553C2semidirect
13. D11×#553C2semidirect
14. D11×#552C2semidirect
15. D11×#541C2semidirect
16. D11×#540C2semidirect
17. D11×#537C2semidirect
18. D11×#532C2semidirect
19. D11×#529C2semidirect
20. C2×D11×#125C2semidirect
21. D11×#520C2semidirect
22. C4×#41×D11C2semidirect
23. C11×#3512C2semidirect
26. C11×#553C22semidirect
27. C11×#553C22semidirect
28. C11×#552C22semidirect
29. C11×#541C22semidirect
30. C11×#540C22semidirect
31. C11×#537C22semidirect
32. C11×#532C22semidirect
33. C11×#529C22semidirect
34. C2×C11×#125C22semidirect
35. C11×#520C22semidirect
36. C4×C11×#41C22semidirect
37. #10623364C22semidirect
38. #10623364C22semidirect
39. #10623363C22semidirect
40. #10623358C22semidirect
41. #41×Dic11C22semidirect
42. #10623262C22semidirect
43. #10623256C22semidirect
45. #10623250C22semidirect
46. #10623247C22semidirect
48. #10623240C22semidirect
49. #10623240C22semidirect
50. #10623240C22semidirect
51. #10623239C22semidirect
52. #10623237C22semidirect
55. #10623232C22semidirect
56. #10623229C22semidirect
57. #10623228C22semidirect
58. #10623227C22semidirect
59. #10623226C22semidirect
60. #10623226C22semidirect
61. #10623225C22semidirect
62. #10623224C22semidirect
63. #10623222C22semidirect
68. D11×#125C22semidirect
69. D11×#125C22semidirect
70. D11×#125C22semidirect
71. #10623211C22semidirect
73. #10623199C22semidirect
74. #10623194C22semidirect
75. #10623192C22semidirect
76. #10623192C22semidirect
77. #10623192C22semidirect
80. #10623181C22semidirect
81. #10623180C22semidirect
82. #10623173C22semidirect
83. #10623170C22semidirect
84. #10623160C22semidirect
85. #10623160C22semidirect
88. #10623156C22semidirect
89. #10623155C22semidirect
90. #10623150C22semidirect
91. #10623149C22semidirect
92. #10623149C22semidirect
93. #10623146C22semidirect
94. #10623145C22semidirect
95. #10623145C22semidirect
96. #10623139C22semidirect
97. #10623139C22semidirect
103. #10623132C22semidirect
104. #10623132C22semidirect
105. #10623132C22semidirect
106. #10623131C22semidirect
107. #10623128C22semidirect
108. #10623127C22semidirect
109. #10623114C22semidirect
110. #10623112C22semidirect
111. #10623111C22semidirect
112. #10623105C22semidirect
113. C4×#4343C22semidirect
116. #10623096C22semidirect
117. #10623096C22semidirect
118. #10623093C22semidirect
119. #10623089C22semidirect
120. #10623089C22semidirect
121. #10623088C22semidirect
122. #10623079C22semidirect
123. #10623077C22semidirect
124. #10623077C22semidirect
131. #10623072C22semidirect
132. #10623071C22semidirect
133. #10623071C22semidirect
134. #10623071C22semidirect
135. #10623069C22semidirect
136. C4×#4341C22semidirect
137. C4×#4341C22semidirect
138. #10623066C22semidirect
139. #10623062C22semidirect
140. #10623061C22semidirect
141. #10623061C22semidirect
142. #10623060C22semidirect
143. #10623059C22semidirect
144. #10623054C22semidirect
145. #10623054C22semidirect
146. #10623053C22semidirect
147. #10623053C22semidirect
152. #10623049C22semidirect
153. #10623045C22semidirect
154. #10623045C22semidirect
155. #10623044C22semidirect
156. #10623041C22semidirect
157. #10623035C22semidirect
158. #10623035C22semidirect
162. C2×#66943C22semidirect
163. C2×#66942C22semidirect
164. #10623010C22semidirect
165. #10623008C22semidirect
166. C4×#4339C22semidirect
167. C4×#4339C22semidirect
170. C2×#66923C22semidirect
634. #3512D11direct (N × H)
767. #553C2×D11semidirect
768. #553C2×D11semidirect
780. #552C2×D11semidirect
788. #541C2×D11semidirect
796. #540C2×D11semidirect
805. #537C2×D11semidirect
813. #532C2×D11semidirect
827. #529C2×D11semidirect
840. C2×#125C2×D11semidirect
859. #520C2×D11semidirect
868. C4×#41C2×D11semidirect
1207. D11#3512direct (N × H)
1382. C11C2×#3512semidirect

Maximal subgroups

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

subgroupindex
#130825402
#130825392
#130825382
#130825372
#130825362
#130825352
#130825342
#130825332
#130825322
#130825312
#130825302
D11×#5532
D11×#5522
D11×#5412
D11×#5402
D11×#5372
D11×#5322
D11×#5292
C2×D11×#1252
D11×#5202
C4×#41×D112
C11×#35122
C2×#351211