Finite Group Databasebeta

← #15660634

Subgroups — #15660634

Order 2816.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082050C211yesmaximal, characteristic, complemented
2#13082044C211yesmaximal, characteristic, complemented
3#13082043C212yesmaximal, complemented
4#13082042C214yesmaximal, complemented
5#13082041C214yesmaximal, complemented
6#13082038C211yesmaximal, characteristic, complemented
7#13082031C214yesmaximal, complemented
8#13082030C214yesmaximal, complemented
9#13082029C212yesmaximal, complemented
10#13082027C214yesmaximal, complemented
11#13082023C214yesmaximal, complemented
12#13082020C211yesmaximal, characteristic, complemented
13#13082003C214yesmaximal, complemented
14#13082000C214yesmaximal, complemented
15#13081998C214yesmaximal, complemented
16#13081947C212yesmaximal, complemented
17#13081944C211yesmaximal, characteristic, complemented
18#13081911C214yesmaximal, complemented
19#13081910C214yesmaximal, complemented
20#13081908C214yesmaximal, complemented
21C2×C4×#4341C211yesmaximal, characteristic, complemented
22C4×#41×D11C212yesmaximal, complemented
23C11×#3460C211yesmaximal, characteristic, complemented
24C2×#41×D11C2212yes—
25C22×#4341C2211yescharacteristic
26C11×#544C2211yescharacteristic, complemented
27C11×#542C2214yescomplemented
28C11×#540C2214yescomplemented
29C11×#538C2214yescomplemented
30C11×#537C2211yescharacteristic
31C11×#535C2212yescomplemented
32C11×#532C2214yescomplemented
33C11×#529C2214yescomplemented
34C11×#525C2214yescomplemented
35C4×C11×#41C2212yescomplemented
36C2×C4×D4×C11C2211yescharacteristic, complemented
37#10623364C2212yes—
38#10623363C2214yescomplemented
39#10623359C2218yescomplemented
40#41×Dic11C2214yescomplemented
41#41×Dic11C2212yescomplemented
42#10623356C2212yescomplemented
43#10623336C2212yescomplemented
44C2×D4×Dic11C2211yescharacteristic, complemented
45#10623322C2214yescomplemented
46C2×C4×C22⋊D11C2212yes—
47C22×C4×Dic11C2212yescomplemented
48#10623264C2214yescomplemented
49#10623260C2214yescomplemented
50#10623259C2214yescomplemented
51#10623259C2214yescomplemented
52#10623250C2214yescomplemented
53#10623247C2214yes—
54#10623247C2214yescomplemented
55#10623246C2214yescomplemented
56#10623238C2218yescomplemented
57#10623237C2218yescomplemented
58#10623237C2218yescomplemented
59#10623232C2218yescomplemented
60#10623228C2214yescomplemented
61#10623222C2214yescomplemented
62#10623220C2214yescomplemented
63#10623219C2214yescomplemented
64#10623213C2214yescomplemented
65#10623211C2214yescomplemented
66#10623211C2218yescomplemented
67#10623211C2218yescomplemented
68#10623209C2218yescomplemented
69#10623206C2214yescomplemented
70#10623200C2218yescomplemented
71#10623199C2214yes—
72#10623193C2218yescomplemented
73#10623191C2218yescomplemented
74#10623191C2218yescomplemented
75#10623188C2218yescomplemented
76#10623187C2218yescomplemented
77#10623180C2218yescomplemented
78#10623180C2218yescomplemented
79#10623180C2218yescomplemented
80#10623176C2214yescomplemented
81#10623169C2218yescomplemented
82#10623165C2214yes—
83#10623159C2214yescomplemented
84#10623158C2214yescomplemented
85#10623156C2214yescomplemented
86#10623155C2214yescomplemented
87#10623155C2214yescomplemented
88#10623153C2214yescomplemented
89#10623153C2214yescomplemented
90#10623153C2214yescomplemented
91#10623150C2214yescomplemented
92#10623146C2218yescomplemented
93#10623144C2218yescomplemented
94#10623144C2218yescomplemented
95#10623139C2214yes—
96#10623139C2214yes—
97#10623138C2214yescomplemented
98#10623137C2214yescomplemented
99#10623137C2214yescomplemented
100#10623137C2214yescomplemented
101#10623137C2218yescomplemented
102#10623136C2214yes—
103#10623134C2214yescomplemented
104#10623134C2214yescomplemented
105#10623133C2214yescomplemented
106#10623131C2214yescomplemented
107#10623131C2214yescomplemented
108#10623131C2218yescomplemented
109#10623131C2214yescomplemented
110#10623131C2214yescomplemented
111#10623127C2214yes—
112#10623127C2214yescomplemented
113#10623127C2214yescomplemented
114#10623124C2218yescomplemented
115#10623120C2218yes—
116#10623117C2218yescomplemented
117#10623117C2218yescomplemented
118#10623114C2214yescomplemented
119#10623109C2214yescomplemented
120C4×#4343C2212yescomplemented
121C4×#4343C2212yescomplemented
122C4×Q8×D11C2212yescomplemented
123C4×Q8×D11C2212yescomplemented
124#10623095C2218yescomplemented
125#10623093C2214yescomplemented
126#10623092C2214yescomplemented
127#10623092C2214yescomplemented
128#10623088C2218yescomplemented
129#10623088C2214yescomplemented
130#10623088C2214yescomplemented
131#10623079C2214yescomplemented
132#10623078C2218yescomplemented
133C4×D4×D11C2214yes—
134C4×D4×D11C2214yes—
135C4×D4×D11C2212yescomplemented
136C4×D4×D11C2212yescomplemented
137#10623069C2218yescomplemented
138#10623069C2218yescomplemented
139C4×#4341C2214yescomplemented
140C4×#4341C2218yescomplemented
141C4×#4341C2214yescomplemented
142C4×#4341C2212yescomplemented
143C4×#4341C2214yescomplemented
144C4×#4341C2212yescomplemented
145C4×#4341C2214yescomplemented
146C4×#4341C2214yescomplemented
147C4×#4341C2214yescomplemented
148#10623065C2214yescomplemented
149#10623059C2218yescomplemented
150#10623057C2212yescomplemented
151#10623053C2214yescomplemented
152#10623053C2212yescomplemented
153#10623053C2214yescomplemented
154D11×#117C2212yes—
155D11×#117C2214yescomplemented
156#10623050C2212yescomplemented
157#10623049C2214yescomplemented
158#10623048C2214yescomplemented
159#10623041C2211yescharacteristic
160C2×#66945C2211yescharacteristic
161#10623031C2211yescharacteristic, complemented
162C2×#66940C2211yescharacteristic, complemented
163#10623025C2214yescomplemented
164C2×(C22⋊D11)⋊C4C2212yes—
165C2×#66930C2212yescomplemented
166#10623010C2214yescomplemented
167C4×#4339C2214yescomplemented
168C4×#4339C2212yescomplemented
169C2×C42×D11C2211yescharacteristic
170C2×C42×D11C2214yescomplemented
171#10623001C2214yescomplemented
172C2×C4×Dic22C2211yescharacteristic, complemented
173C2×C11×#41C2312yes—
174C2×C11×#41C2314yes—
175C22×D4×C11C2311yescharacteristic
176C23×C4×C11C2312yes—
177C22×C22⋊D11C2312yes—
178C23×Dic11C2312yes—
179C23×Dic11C2312yes—
180#41×D11—216no—
181C2×#4343C2312yes—
182C2×Q8×D11C2312yes—
183C2×#4341—28no—
184C2×#4341C2314yes—
185C2×#4341C2312yes—
186C2×#4341C2314yes—
187C2×#4341C2314yes—
188C2×#4341C2318yes—
189C2×D4×D11C2312yes—
190C2×D4×D11C2314yes—
191C2×#4339C2312yes—
192C2×#4339C2314yes—
193C2×#4339C2314yes—
194C22×C4×D11C2314yes—
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2314yes—
198C22×C4×D11C2314yes—
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×C4⋊Q8C2314yes—
202C11×#127C2314yes—
203C11×#126C2318yes—
204C11×#125C2314yes—
205C11×#124C2314yes—
206C11×#124C2318yes—
207C11×#123C2318yes—
208C11×#123C2318yes—
209C11×C22⋊Q8C2314yes—
210C11×C22⋊Q8C2314yes—
211C11×C22⋊Q8C2314yes—
212C11×#121C2314yes—
213C11×#121C2314yes—
214C11×#121C2314yes—
215C11×#121C2314yes—
216C11×#121C2314yes—
217C11×#121C2318yes—
218C11×#120C2318yes—
219C4×Q8×C11C2312yes—
220C4×Q8×C11C2312yes—
221C4×D4×C11C2314yes—
222C4×D4×C11C2314yes—
223C4×D4×C11C2314yes—
224C4×D4×C11C2318yes—
225C4×D4×C11C2314yes—
226C4×D4×C11C2312yes—
227C4×D4×C11C2312yes—
228C11×#117C2314yes—
229C11×#117C2314yes—
230C11×#117C2312yes—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2312yes—
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2314yes—
235#67006C2318yes—
236C2×C22⋊Dic11C2312yes—
237#67000C2314yes—
238#66999C2318yes—
239#66999C2318yes—
240#66999C2314yes—
241Q8×Dic11C2314yes—
242Q8×Dic11C2314yes—
243Q8×Dic11C2312yes—
244Q8×Dic11C2312yes—
245#66997C2314yes—
246#66997C2314yes—
247#66993C2314yes—
248#66993C2314yes—
249#66992C2318yes—
250#66992C2318yes—
251#66992C2318yes—
252#66992C2318yes—
253#66992C2318yes—
254#66991C2318yes—
255#66991C2318yes—
256#66991C2314yes—
257#66991C2314yes—
258#66991C2318yes—
259#66991C2314yes—
260#66990C2318yes—
261#66990C2318yes—
262#66990C2318yes—
263#66989C2314yes—
264#66989C2314yes—
265#66989C2318yes—
266#66989C2314yes—
267#66988C2318yes—
268#66988C2318yes—
269#66988C2318yes—
270#66988C2318yes—
271D4×Dic11C2318yes—
272D4×Dic11C2318yes—
273D4×Dic11C2312yes—
274D4×Dic11C2314yes—
275D4×Dic11C2318yes—
276D4×Dic11C2312yes—
277D4×Dic11C2314yes—
278D4×Dic11C2314yes—
279D4×Dic11C2314yes—
280D4×Dic11C2314yes—
281D4×Dic11C2314yes—
282#66983C2314yes—
283#66983C2314yes—
284#66983C2314yes—
285#66982C2318yes—
286#66982C2318yes—
287C4×C22⋊D11C2314yes—
288C4×C22⋊D11C2314yes—
289C4×C22⋊D11C2314yes—
290C4×C22⋊D11C2314yes—
291C4×C22⋊D11C2314yes—
292C4×C22⋊D11C2314yes—
293C4×C22⋊D11C2318yes—
294C4×C22⋊D11C2318yes—
295C4×C22⋊D11C2318yes—
296C4×C22⋊D11C2318yes—
297C2×(C2×D11)⋊C4C2312yes—
298#66979C2318yes—
299#66979C2312yes—
300#66979C2314yes—
301#66979C2314yes—
302C2×C4⋊Dic11C2311yescharacteristic
303#66977C2314yes—
304#66977C2314yes—
305#66977C2318yes—
306#66977C2314yes—
307#66977C2314yes—
308#66977C2314yes—
309C2×Dic11⋊C4C2312yes—
310C2×Dic11⋊C4C2312yes—
311C2×C4×Dic11C2312yes—
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2314yes—
316C2×C4×Dic11C2314yes—
317C2×C4×Dic11C2314yes—
318C2×C4×Dic11C2312yes—
319C2×C4×Dic11C2312yes—
320C2×C4×Dic11C2314yes—
321C2×C4×Dic11C2314yes—
322C2×C4×Dic11C2314yes—
323C2×C4×Dic11C2314yes—
324#66951C2318yes—
325#66951C2318yes—
326#66951C2318yes—
327#66950C2318yes—
328#66950C2314yes—
329#66950C2314yes—
330#66950C2314yes—
331#66949C2318yes—
332#66949C2318yes—
333#66949C2318yes—
334#66948C2314yes—
335#66947C2318yes—
336#66947C2318yes—
337#66946C2314yes—
338#66946C2314yes—
339#66946C2312yes—
340#66946C2314yes—
341#66946C2312yes—
342#66946C2314yes—
343#66945C2314yes—
344#66945C2318yes—
345#66945C2312yes—
346#66945C2314yes—
347#66945C2314yes—
348#66945C2312yes—
349#66945C2314yes—
350C4⋊C4×D11C2314yes—
351C4⋊C4×D11C2312yes—
352C4⋊C4×D11C2312yes—
353C4⋊C4×D11C2314yes—
354#66943C2318yes—
355#66943C2314yes—
356#66943C2314yes—
357#66943C2314yes—
358#66943C2314yes—
359#66942C2318yes—
360#66942C2318yes—
361#66942C2318yes—
362#66942C2318yes—
363#66941C2314yes—
364#66941C2314yes—
365#66941C2314yes—
366#66941C2314yes—
367#66940C2314yes—
368#66940C2314yes—
369#66940C2318yes—
370#66940C2312yes—
371#66940C2314yes—
372#66940C2314yes—
373#66940C2312yes—
374#66940C2314yes—
375#66940C2314yes—
376#66939C2318yes—
377#66939C2318yes—
378#66938C2318yes—
379#66938C2318yes—
380#66938C2318yes—
381#66938C2318yes—
382#66937C2318yes—
383#66937C2318yes—
384#66937C2318yes—
385#66936C2318yes—
386#66936C2318yes—
387#66936C2318yes—
388#66936C2318yes—
389#66936C2318yes—
390#66936C2318yes—
391#66935C2318yes—
392(C22⋊D11)⋊C4C2318yes—
393(C22⋊D11)⋊C4C2318yes—
394(C22⋊D11)⋊C4C2318yes—
395(C22⋊D11)⋊C4C2318yes—
396(C22⋊D11)⋊C4C2318yes—
397(C22⋊D11)⋊C4C2314yes—
398(C22⋊D11)⋊C4C2314yes—
399(C22⋊D11)⋊C4C2314yes—
400(C22⋊D11)⋊C4C2314yes—
401(C22⋊D11)⋊C4C2314yes—
402(C22⋊D11)⋊C4C2314yes—
403(C22⋊D11)⋊C4C2318yes—
404C22⋊C4×D11C2314yes—
405C22⋊C4×D11C2314yes—
406C22⋊C4×D11C2314yes—
407#66932C2318yes—
408#66932C2318yes—
409#66932C2318yes—
410#66932C2318yes—
411#66932C2318yes—
412#66932C2318yes—
413#66932C2318yes—
414#66931C2318yes—
415#66931C2318yes—
416#66931C2318yes—
417#66931C2318yes—
418#66931C2318yes—
419#66930C2318yes—
420#66930C2318yes—
421#66930C2318yes—
422#66930C2314yes—
423#66930C2314yes—
424#66930C2314yes—
425#66930C2318yes—
426#66929C2318yes—
427#66928C2314yes—
428C4×D44C2314yes—
429C4×D44C2312yes—
430C4×D44C2314yes—
431C4×D44C2312yes—
432#66925C2314yes—
433#66925C2314yes—
434#66925C2314yes—
435#66925C2318yes—
436C42×D11C2314yes—
437C42×D11C2314yes—
438C42×D11C2314yes—
439C42×D11C2314yes—
440C42×D11C2312yes—
441C42×D11C2312yes—
442C42×D11C2312yes—
443C42×D11C2312yes—
444C42×D11C2314yes—
445C42×D11C2314yes—
446C42×D11C2314yes—
447#66923C2318yes—
448#66923C2314yes—
449#66922C2314yes—
450#66922C2314yes—
451C4×Dic22C2314yes—
452C4×Dic22C2314yes—
453C4×Dic22C2314yes—
454C4×Dic22C2312yes—
455C4×Dic22C2318yes—
456C4×Dic22C2314yes—
457C4×Dic22C2312yes—
458#62686—111nomaximal, Sylow
459C24×C11C2412yes—
460C23×D11C2414yes—
461C23×D11C2411yescharacteristic
462C11×#41—28no—
463C11×#41—48no—
464C2×Q8×C11C2412yes—
465C2×Q8×C11C2414yes—
466C2×D4×C11—24no—
467C2×D4×C11C2414yes—
468C2×D4×C11C2412yes—
469C2×D4×C11C2414yes—
470C2×D4×C11C2414yes—
471C2×D4×C11C2418yes—
472C2×D4×C11C2418yes—
473C22×C4×C11—44no—
474C22×C4×C11C2411yescharacteristic
475C22×C4×C11C2414yes—
476C22×C4×C11C2414yes—
477C22×C4×C11C2414yes—
478C22×C4×C11C2412yes—
479C22×C4×C11C2414yes—
480C22×C4×C11C2411yescharacteristic
481C22×C4×C11C2414yes—
482C22×C4×C11C2411yescharacteristic
483C2×C22⋊D11—28no—
484C2×C22⋊D11C2418yes—
485C2×C22⋊D11C2414yes—
486C2×C22⋊D11C2414yes—
487C2×C22⋊D11C2414yes—
488C2×C22⋊D11C2418yes—
489C2×C22⋊D11C2418yes—
490C2×C22⋊D11C2418yes—
491C22×Dic11—28no—
492C22×Dic11—44no—
493C22×Dic11C2414yes—
494C22×Dic11C2414yes—
495C22×Dic11C2414yes—
496C22×Dic11C2414yes—
497C22×Dic11C2414yes—
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2412yes—
500C22×Dic11C2412yes—
501C22×Dic11C2414yes—
502C22×Dic11C2414yes—
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505#4343—28no—
506Q8×D11—28no—
507#4341—216no—
508#4341—216no—
509#4341—216no—
510#4341—28no—
511#4341—416no—
512D4×D11—28no—
513D4×D11—216no—
514#4339—216no—
515#4339—28no—
516#4339—48no—
517C2×D44C2412yes—
518C2×D44C2414yes—
519C2×D44C2414yes—
520C2×C4×D11—216no—
521C2×C4×D11—42no—
522C2×C4×D11—48no—
523C2×C4×D11—42no—
524C2×C4×D11—48no—
525C2×C4×D11#4118yescomplemented
526C2×C4×D11C2412yes—
527C2×C4×D11C2412yes—
528C2×C4×D11C2414yes—
529C2×C4×D11C2414yes—
530C2×C4×D11C2414yes—
531C2×C4×D11C2414yes—
532C2×C4×D11C2414yes—
533C2×C4×D11C2412yes—
534C2×C4×D11C2414yes—
535C2×C4×D11C2412yes—
536C2×C4×D11C2414yes—
537C2×C4×D11C2414yes—
538C2×C4×D11C2414yes—
539C2×C4×D11C2412yes—
540C2×C4×D11C2412yes—
541C2×Dic22—24no—
542C2×Dic22C2412yes—
543C2×Dic22C2414yes—
544C2×Dic22C2414yes—
545C2×Dic22C2418yes—
546C2×Dic22C2414yes—
547C11×C4⋊C4C2414yes—
548C11×C4⋊C4C2412yes—
549C11×C4⋊C4C2414yes—
550C11×C4⋊C4C2414yes—
551C11×C4⋊C4C2414yes—
552C11×C4⋊C4C2414yes—
553C11×C4⋊C4C2418yes—
554C11×C4⋊C4C2412yes—
555C11×C22⋊C4C2418yes—
556C11×C22⋊C4C2414yes—
557C11×C22⋊C4C2418yes—
558C11×C22⋊C4C2418yes—
559C11×C22⋊C4C2414yes—
560C11×C22⋊C4C2414yes—
561C11×C22⋊C4C2418yes—
562C42×C11C2412yes—
563C42×C11C2412yes—
564C42×C11C2414yes—
565C42×C11C2414yes—
566C42×C11C2414yes—
567C22⋊Dic11C2418yes—
568C22⋊Dic11C2414yes—
569C22⋊Dic11C2418yes—
570C22⋊Dic11C2418yes—
571C22⋊Dic11C2414yes—
572C22⋊Dic11C2414yes—
573C22⋊Dic11C2418yes—
574C22⋊Dic11C2418yes—
575C22⋊Dic11C2418yes—
576(C2×D11)⋊C4C2414yes—
577(C2×D11)⋊C4C2414yes—
578(C2×D11)⋊C4C2414yes—
579(C2×D11)⋊C4C2414yes—
580(C2×D11)⋊C4C2414yes—
581(C2×D11)⋊C4C2414yes—
582(C2×D11)⋊C4C2418yes—
583(C2×D11)⋊C4C2418yes—
584(C2×D11)⋊C4C2418yes—
585(C2×D11)⋊C4C2418yes—
586(C2×D11)⋊C4C2418yes—
587C4⋊Dic11C2414yes—
588C4⋊Dic11C2412yes—
589C4⋊Dic11C2418yes—
590C4⋊Dic11C2412yes—
591C4⋊Dic11C2414yes—
592C4⋊Dic11C2414yes—
593C4⋊Dic11C2418yes—
594C4⋊Dic11C2418yes—
595C4⋊Dic11C2414yes—
596C4⋊Dic11C2414yes—
597Dic11⋊C4C2418yes—
598Dic11⋊C4C2414yes—
599Dic11⋊C4C2418yes—
600Dic11⋊C4C2418yes—
601Dic11⋊C4C2414yes—
602Dic11⋊C4C2414yes—
603Dic11⋊C4C2414yes—
604Dic11⋊C4C2414yes—
605Dic11⋊C4C2414yes—
606Dic11⋊C4C2418yes—
607Dic11⋊C4C2418yes—
608Dic11⋊C4C2418yes—
609Dic11⋊C4C2418yes—
610Dic11⋊C4C2418yes—
611C4×Dic11C2411yescharacteristic
612C4×Dic11C2414yes—
613C4×Dic11C2414yes—
614C4×Dic11C2412yes—
615C4×Dic11C2414yes—
616C4×Dic11C2414yes—
617C4×Dic11C2411yescharacteristic
618C4×Dic11C2412yes—
619C4×Dic11C2412yes—
620C4×Dic11C2412yes—
621C4×Dic11C2414yes—
622C4×Dic11C2414yes—
623C4×Dic11C2411yescharacteristic
624C4×Dic11C2414yes—
625C4×Dic11C2414yes—
626C4×Dic11C2414yes—
627C4×Dic11C2414yes—
628C4×Dic11C2414yes—
629C4×Dic11C2411yescharacteristic
630C4×Dic11C2414yes—
631C4×Dic11C2414yes—
632C4×Dic11C2414yes—
633C4×Dic11C2414yes—
634#3461—111no—
635#3461—114no—
636#3461—111no—
637#3461—114no—
638#3461—112no—
639#3460—114no—
640#3460—112no—
641#3460—114no—
642#3460—111no—
643#3460D1111yescharacteristic, complemented
644#3459—114no—
645#3459—114no—
646#3458—111no—
647#3455—114no—
648#3455—114no—
649#3455—114no—
650#3449—111no—
651#3449—112no—
652#3444—114no—
653#3444—114no—
654#3444—114no—
655C2×C4×#41—112no—
656C2×C4×#41—111no—
657C23×C11—24no—
658C23×C11—42no—
659C23×C11—42no—
660C23×C11C2514yes—
661C23×C11C2514yes—
662C23×C11C2511yescharacteristic
663C22×D11—28no—
664C22×D11—41no—
665C22×D11—41no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11C2×#4114yes—
669C22×D11C2514yes—
670C22×D11C2512yes—
671Q8×C11—24no—
672Q8×C11—44no—
673D4×C11—28no—
674D4×C11—24no—
675D4×C11—28no—
676D4×C11—48no—
677D4×C11—44no—
678D4×C11—48no—
679C2×C4×C11—28no—
680C2×C4×C11—22no—
681C2×C4×C11—28no—
682C2×C4×C11—28no—
683C2×C4×C11—41no—
684C2×C4×C11—44no—
685C2×C4×C11—44no—
686C2×C4×C11—42no—
687C2×C4×C11C2×#4114yes—
688C2×C4×C11C2511yescharacteristic
689C2×C4×C11C2512yes—
690C2×C4×C11C2514yes—
691C2×C4×C11C2514yes—
692C2×C4×C11C2514yes—
693C2×C4×C11C2514yes—
694C2×C4×C11C2512yes—
695C2×C4×C11C2511yescharacteristic
696C22⋊D11—28no—
697C22⋊D11—28no—
698C22⋊D11—216no—
699C22⋊D11—28no—
700C22⋊D11—48no—
701C22⋊D11—48no—
702C22⋊D11—48no—
703C2×Dic11—24no—
704C2×Dic11—28no—
705C2×Dic11—28no—
706C2×Dic11—28no—
707C2×Dic11—28no—
708C2×Dic11—22no—
709C2×Dic11—28no—
710C2×Dic11—44no—
711C2×Dic11—41no—
712C2×Dic11—42no—
713C2×Dic11—44no—
714C2×Dic11C2×#4114yes—
715C2×Dic11C2512yes—
716C2×Dic11C2511yescharacteristic
717C2×Dic11C2514yes—
718C2×Dic11C2514yes—
719C2×Dic11C2514yes—
720C2×Dic11C2514yes—
721C2×Dic11C2514yes—
722C2×Dic11C2511yescharacteristic
723C2×Dic11C2511yescharacteristic
724C2×Dic11C2511yescharacteristic
725D44—28no—
726D44—24no—
727D44—44no—
728C4×D11—28no—
729C4×D11—28no—
730C4×D11—24no—
731C4×D11—28no—
732C4×D11—28no—
733C4×D11—24no—
734C4×D11—28no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—44no—
738C4×D11—42no—
739C4×D11—44no—
740C4×D11—42no—
741C4×D11C2×#4118yes—
742C4×D11C2×#4118yes—
743Dic22—28no—
744Dic22—24no—
745Dic22—28no—
746Dic22—44no—
747Dic22—48no—
748C22×#41—112no—
749C22×#41—111no—
750#544—114no—
751#544—114no—
752#544—112no—
753#544—111no—
754#544C2×D1111yescharacteristic, complemented
755#543—114no—
756#542—114no—
757#542—118no—
758#542—114no—
759#542—118no—
760#542—114no—
761#542—114no—
762#542—114no—
763#542—114no—
764#542—114no—
765#542C2×D1114yescomplemented
766#541—118no—
767#541—114no—
768#541—114no—
769#541—114no—
770#541—114no—
771#540—114no—
772#540—118no—
773#540—114no—
774#540—114no—
775#540C2×D1114yescomplemented
776#539—118no—
777#539—118no—
778#539—118no—
779#539—118no—
780#539—114no—
781#539—114no—
782#539—118no—
783#538—118no—
784#538—118no—
785#538—118no—
786#538—118no—
787#538—118no—
788#538—114no—
789#538C2×D1114yescomplemented
790#537—112no—
791#537—114no—
792#537—114no—
793#537—111no—
794#537C2×D1111yescharacteristic
795#536—112no—
796#536—114no—
797#536—114no—
798#536—112no—
799#535—112no—
800#535—114no—
801#535—114no—
802#535C2×D1112yescomplemented
803#534—114no—
804#534—118no—
805#533—114no—
806#533—114no—
807#533—114no—
808#533—114no—
809#533—114no—
810#533—114no—
811#533—114no—
812#533—114no—
813#533—114no—
814#532—114no—
815#532—114no—
816#532—114no—
817#532—114no—
818#532—114no—
819#532—114no—
820#532—114no—
821#532—114no—
822#532C2×D1114yescomplemented
823#529—118no—
824#529—118no—
825#529—114no—
826#529—118no—
827#529—118no—
828#529—114no—
829#529—118no—
830#529—118no—
831#529—118no—
832#529—114no—
833#529—114no—
834#529—118no—
835#529—114no—
836#529—114no—
837#529—114no—
838#529—114no—
839#529—118no—
840#529—118no—
841#529—118no—
842#529—114no—
843#529—114no—
844#529—118no—
845#529—114no—
846#529C2×D1114yescomplemented
847#525—118no—
848#525—114no—
849#525—118no—
850#525—114no—
851#525—114no—
852#525—114no—
853#525—114no—
854#525—118no—
855#525—118no—
856#525—118no—
857#525—118no—
858#525C2×D1114yescomplemented
859C4×#41—112no—
860C4×#41—114no—
861C4×#41—112no—
862C4×#41—112no—
863C4×#41—112no—
864C4×#41—114no—
865C4×#41—114no—
866C4×#41—114no—
867C4×#41—112no—
868C4×#41—114no—
869C4×#41—114no—
870C4×#41—114no—
871C4×#41—118no—
872C4×#41—112no—
873C4×#41—114no—
874C4×#41—114no—
875C4×#41—114no—
876C4×#41—112no—
877C4×#41C2×D1112yescomplemented
878C2×C4×Q8—112no—
879C2×C4×Q8—112no—
880C2×C4×Q8—111no—
881C2×C4×Q8—111no—
882C2×C4×D4—111no—
883C2×C4×D4—112no—
884C2×C4×D4—114no—
885C2×C4×D4—114no—
886C2×C4×D4—112no—
887C2×C4×D4—112no—
888C2×C4×D4—112no—
889C2×C4×D4C2×D1111yescharacteristic, complemented
890C2×#117—112no—
891C2×#117—114no—
892C2×#117—111no—
893C2×#117—112no—
894C22×C42—112no—
895C22×C42—111no—
896C22×C42—114no—
897C22×C11—21no—
898C22×C11—21no—
899C22×C11—24no—
900C22×C11—24no—
901C22×C11—24no—
902C22×C11—24no—
903C22×C11—24no—
904C22×C11—24no—
905C22×C11—48no—
906C22×C11C22×#4112yes—
907C22×C11C2611yescharacteristic
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—24no—
911C2×D11—24no—
912C2×D11—24no—
913C2×D11—44no—
914C2×D11—416no—
915C2×D11C22×#4114yes—
916C4×C11—24no—
917C4×C11—21no—
918C4×C11—24no—
919C4×C11—24no—
920C4×C11—22no—
921C4×C11—24no—
922C4×C11C22×#4114yes—
923C4×C11#58512yes—
924Dic11—24no—
925Dic11—24no—
926Dic11—24no—
927Dic11—24no—
928Dic11—24no—
929Dic11—22no—
930Dic11—21no—
931Dic11C22×#4112yes—
932Dic11C22×#4112yes—
933Dic11#58512yes—
934C2×#41—112no—
935C2×#41—114no—
936C2×#41—112no—
937C2×#41—114no—
938C2×#41—114no—
939C2×#41—118no—
940C2×#41—114no—
941C2×#41—112no—
942C2×#41—114no—
943C2×#41—228no—
944C2×#41—2216no—
945C2×#41C22×D1112yes—
946C2×#41C22×D1114yes—
947C22×Q8—112no—
948C22×Q8—111no—
949C22×D4—112no—
950C22×D4—114no—
951C22×D4—112no—
952C22×D4C22×D1111yescharacteristic
953C23×C4—111no—
954C23×C4—112no—
955C23×C4—112no—
956C23×C4—114no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—114no—
960C23×C4—114no—
961C23×C4C22×D1112yes—
962C4⋊Q8—114no—
963C4⋊Q8—114no—
964C4⋊Q8—114no—
965C4⋊Q8—114no—
966C4⋊Q8—114no—
967C4⋊Q8—114no—
968C4⋊Q8—114no—
969C4⋊Q8—114no—
970C4⋊Q8C22×D1114yes—
971#127—114no—
972#127—114no—
973#127C22×D1114yes—
974#126—118no—
975#126—118no—
976#126—118no—
977#126—118no—
978#126—118no—
979#126—118no—
980#126—118no—
981#126—118no—
982#126—118no—
983#126—118no—
984#126—118no—
985#126C22×D1118yes—
986#125—118no—
987#125—118no—
988#125—118no—
989#125—118no—
990#125—114no—
991#125—114no—
992#125—118no—
993#125—114no—
994#125—114no—
995#125—118no—
996#125—114no—
997#125C22×D1114yes—
998#124—114no—
999#124—114no—
1000#124—114no—
1001#124—114no—
1002#124—118no—
1003#124—118no—
1004#124—118no—
1005#124—118no—
1006#124—118no—
1007#124—114no—
1008#124C22×D1118yes—
1009#124C22×D1114yes—
1010#123—118no—
1011#123—118no—
1012#123—118no—
1013#123—118no—
1014#123—118no—
1015#123—118no—
1016#123—118no—
1017#123—118no—
1018#123—118no—
1019#123—118no—
1020#123—118no—
1021#123—118no—
1022#123—118no—
1023#123—118no—
1024#123—118no—
1025#123—118no—
1026#123C22×D1118yes—
1027#123C22×D1118yes—
1028C22⋊Q8—114no—
1029C22⋊Q8—118no—
1030C22⋊Q8—118no—
1031C22⋊Q8—114no—
1032C22⋊Q8—114no—
1033C22⋊Q8—114no—
1034C22⋊Q8—114no—
1035C22⋊Q8—114no—
1036C22⋊Q8—118no—
1037C22⋊Q8—114no—
1038C22⋊Q8—114no—
1039C22⋊Q8—114no—
1040C22⋊Q8—118no—
1041C22⋊Q8—118no—
1042C22⋊Q8—118no—
1043C22⋊Q8—118no—
1044C22⋊Q8—118no—
1045C22⋊Q8—118no—
1046C22⋊Q8—118no—
1047C22⋊Q8—118no—
1048C22⋊Q8—118no—
1049C22⋊Q8C22×D1114yes—
1050C22⋊Q8C22×D1114yes—
1051C22⋊Q8C22×D1114yes—
1052#121—118no—
1053#121—118no—
1054#121—118no—
1055#121—114no—
1056#121—114no—
1057#121—114no—
1058#121—118no—
1059#121—118no—
1060#121—118no—
1061#121—118no—
1062#121—118no—
1063#121—114no—
1064#121—114no—
1065#121—114no—
1066#121—114no—
1067#121—118no—
1068#121—118no—
1069#121—118no—
1070#121C22×D1114yes—
1071#121C22×D1114yes—
1072#121C22×D1118yes—
1073#121C22×D1114yes—
1074#121C22×D1114yes—
1075#121C22×D1114yes—
1076#120—118no—
1077#120—118no—
1078#120—118no—
1079#120—118no—
1080#120—118no—
1081#120C22×D1118yes—
1082C4×Q8—112no—
1083C4×Q8—112no—
1084C4×Q8—114no—
1085C4×Q8—114no—
1086C4×Q8—114no—
1087C4×Q8—112no—
1088C4×Q8—114no—
1089C4×Q8—114no—
1090C4×Q8—112no—
1091C4×Q8—114no—
1092C4×Q8—118no—
1093C4×Q8—114no—
1094C4×Q8—114no—
1095C4×Q8—114no—
1096C4×Q8—112no—
1097C4×Q8—114no—
1098C4×Q8—114no—
1099C4×Q8—112no—
1100C4×Q8—114no—
1101C4×Q8—118no—
1102C4×Q8C22×D1112yes—
1103C4×Q8C22×D1112yes—
1104C4×D4—114no—
1105C4×D4—112no—
1106C4×D4—114no—
1107C4×D4—114no—
1108C4×D4—112no—
1109C4×D4—114no—
1110C4×D4—114no—
1111C4×D4—114no—
1112C4×D4—118no—
1113C4×D4—118no—
1114C4×D4—118no—
1115C4×D4—114no—
1116C4×D4—118no—
1117C4×D4—114no—
1118C4×D4—114no—
1119C4×D4—114no—
1120C4×D4—118no—
1121C4×D4—114no—
1122C4×D4—114no—
1123C4×D4—118no—
1124C4×D4—118no—
1125C4×D4—114no—
1126C4×D4—112no—
1127C4×D4—114no—
1128C4×D4—112no—
1129C4×D4—114no—
1130C4×D4—114no—
1131C4×D4—114no—
1132C4×D4—118no—
1133C4×D4—114no—
1134C4×D4—114no—
1135C4×D4—114no—
1136C4×D4—118no—
1137C4×D4—114no—
1138C4×D4—114no—
1139C4×D4—118no—
1140C4×D4—118no—
1141C4×D4—118no—
1142C4×D4—118no—
1143C4×D4—114no—
1144C4×D4—112no—
1145C4×D4—114no—
1146C4×D4—112no—
1147C4×D4C22×D1114yes—
1148C4×D4C22×D1112yes—
1149C4×D4C22×D1114yes—
1150C4×D4C22×D1112yes—
1151C4×D4C22×D1114yes—
1152C4×D4C22×D1114yes—
1153C4×D4C22×D1118yes—
1154#117—112no—
1155#117—114no—
1156#117—114no—
1157#117—118no—
1158#117—112no—
1159#117—112no—
1160#117—114no—
1161#117—114no—
1162#117—114no—
1163#117—114no—
1164#117—118no—
1165#117—114no—
1166#117—114no—
1167#117—114no—
1168#117—118no—
1169#117—118no—
1170#117—118no—
1171#117—118no—
1172#117—114no—
1173#117—114no—
1174#117—114no—
1175#117—118no—
1176#117C22×D1112yes—
1177#117C22×D1114yes—
1178#117C22×D1114yes—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—112no—
1181C2×C4⋊C4—112no—
1182C2×C4⋊C4—112no—
1183C2×C4⋊C4—112no—
1184C2×C4⋊C4—114no—
1185C2×C4⋊C4—114no—
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C22⋊C4—112no—
1188C2×C22⋊C4—112no—
1189C2×C22⋊C4—114no—
1190C2×C22⋊C4—114no—
1191C2×C22⋊C4—114no—
1192C2×C22⋊C4C22×D1112yes—
1193C2×C42—111no—
1194C2×C42—112no—
1195C2×C42—111no—
1196C2×C42—112no—
1197C2×C42—112no—
1198C2×C42—114no—
1199C2×C42—114no—
1200C2×C42—111no—
1201C2×C42—114no—
1202C2×C42—114no—
1203C2×C42—114no—
1204C2×C42—114no—
1205C2×C42—114no—
1206C2×C42—112no—
1207C2×C42—114no—
1208C2×C42—112no—
1209C2×C42—112no—
1210C2×C42—114no—
1211C2×C42—114no—
1212C2×C42—114no—
1213C2×C42—112no—
1214C2×C42—114no—
1215C2×C42—114no—
1216C2×C42—114no—
1217C2×C42C22×D1111yescharacteristic
1218C2×C42C22×D1114yes—
1219C2×C11—22no—
1220C2×C11—44no—
1221C2×C11—44no—
1222C2×C11C23×#4111yescharacteristic
1223C2×C11C2×#58511yescharacteristic
1224C2×C11C2×#58511yescharacteristic
1225D11—24no—
1226D11—44no—
1227C24—111no—
1228C24—114no—
1229C24C23×D1112yes—
1230#41—28no—
1231#41—48no—
1232#41—2216no—
1233#41—2216no—
1234#41—2216no—
1235#41—228no—
1236#41—2216no—
1237#41—228no—
1238#41—228no—
1239#41—448no—
1240#41—4416no—
1241C2×Q8—114no—
1242C2×Q8—112no—
1243C2×Q8—114no—
1244C2×Q8—114no—
1245C2×Q8—118no—
1246C2×Q8—228no—
1247C2×Q8—224no—
1248C2×Q8C23×D1112yes—
1249C2×Q8C23×D1114yes—
1250C2×D4—24no—
1251C2×D4—114no—
1252C2×D4—118no—
1253C2×D4—114no—
1254C2×D4—114no—
1255C2×D4—118no—
1256C2×D4—118no—
1257C2×D4—118no—
1258C2×D4—114no—
1259C2×D4—112no—
1260C2×D4—114no—
1261C2×D4—228no—
1262C2×D4—2216no—
1263C2×D4—228no—
1264C2×D4C23×D1114yes—
1265C2×D4C23×D1112yes—
1266C2×D4C23×D1114yes—
1267C2×D4C23×D1114yes—
1268C2×D4C23×D1118yes—
1269C2×D4C23×D1118yes—
1270C22×C4—44no—
1271C22×C4—111no—
1272C22×C4—118no—
1273C22×C4—112no—
1274C22×C4—112no—
1275C22×C4—111no—
1276C22×C4—112no—
1277C22×C4—114no—
1278C22×C4—114no—
1279C22×C4—114no—
1280C22×C4—114no—
1281C22×C4—114no—
1282C22×C4—111no—
1283C22×C4—112no—
1284C22×C4—114no—
1285C22×C4—114no—
1286C22×C4—112no—
1287C22×C4—114no—
1288C22×C4—114no—
1289C22×C4—114no—
1290C22×C4—114no—
1291C22×C4—112no—
1292C22×C4—114no—
1293C22×C4—112no—
1294C22×C4—112no—
1295C22×C4—114no—
1296C22×C4—114no—
1297C22×C4—114no—
1298C22×C4—114no—
1299C22×C4—2216no—
1300C22×C4—228no—
1301C22×C4—442no—
1302C22×C4—448no—
1303C22×C4—442no—
1304C22×C4—448no—
1305C22×C4—444no—
1306C22×C4C23×D1114yes—
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1114yes—
1309C22×C4C23×D1114yes—
1310C22×C4C23×D1112yes—
1311C22×C4C23×D1114yes—
1312C22×C4C23×D1111yescharacteristic
1313C22×C4C23×D1114yes—
1314C22×C4C23×D1111yescharacteristic
1315C4⋊C4—114no—
1316C4⋊C4—114no—
1317C4⋊C4—114no—
1318C4⋊C4—112no—
1319C4⋊C4—112no—
1320C4⋊C4—118no—
1321C4⋊C4—114no—
1322C4⋊C4—114no—
1323C4⋊C4—114no—
1324C4⋊C4—118no—
1325C4⋊C4—114no—
1326C4⋊C4—114no—
1327C4⋊C4—114no—
1328C4⋊C4—118no—
1329C4⋊C4—118no—
1330C4⋊C4—118no—
1331C4⋊C4—118no—
1332C4⋊C4—118no—
1333C4⋊C4—118no—
1334C4⋊C4—114no—
1335C4⋊C4—114no—
1336C4⋊C4—118no—
1337C4⋊C4—118no—
1338C4⋊C4—118no—
1339C4⋊C4C23×D1112yes—
1340C4⋊C4C23×D1112yes—
1341C4⋊C4C23×D1114yes—
1342C4⋊C4C23×D1114yes—
1343C4⋊C4C23×D1114yes—
1344C4⋊C4C23×D1118yes—
1345C4⋊C4C23×D1114yes—
1346C4⋊C4C23×D1114yes—
1347C22⋊C4—114no—
1348C22⋊C4—114no—
1349C22⋊C4—114no—
1350C22⋊C4—118no—
1351C22⋊C4—118no—
1352C22⋊C4—118no—
1353C22⋊C4—118no—
1354C22⋊C4—118no—
1355C22⋊C4—118no—
1356C22⋊C4—118no—
1357C22⋊C4—114no—
1358C22⋊C4—114no—
1359C22⋊C4—114no—
1360C22⋊C4—114no—
1361C22⋊C4—114no—
1362C22⋊C4—114no—
1363C22⋊C4—118no—
1364C22⋊C4—118no—
1365C22⋊C4—118no—
1366C22⋊C4—118no—
1367C22⋊C4C23×D1114yes—
1368C22⋊C4C23×D1114yes—
1369C22⋊C4C23×D1114yes—
1370C22⋊C4C23×D1118yes—
1371C22⋊C4C23×D1118yes—
1372C22⋊C4C23×D1118yes—
1373C22⋊C4C23×D1118yes—
1374C42—111no—
1375C42—112no—
1376C42—111no—
1377C42—112no—
1378C42—114no—
1379C42—114no—
1380C42—114no—
1381C42—114no—
1382C42—114no—
1383C42—114no—
1384C42—112no—
1385C42—112no—
1386C42—114no—
1387C42—114no—
1388C42—114no—
1389C42—114no—
1390C42—114no—
1391C42—114no—
1392C42—114no—
1393C42—111no—
1394C42—111no—
1395C42—114no—
1396C42—114no—
1397C42C23×D1112yes—
1398C42C23×D1114yes—
1399C42C23×D1114yes—
1400C42C23×D1112yes—
1401C42C23×D1114yes—
1402C11#6268611yescharacteristic, complemented, Sylow
1403C23—24no—
1404C23—42no—
1405C23—42no—
1406C23—112no—
1407C23—114no—
1408C23—114no—
1409C23—228no—
1410C23—441no—
1411C23—441no—
1412C23—444no—
1413C23—444no—
1414C23C24×D1114yes—
1415C23C24×D1114yes—
1416C23C24×D1111yescharacteristic
1417Q8—24no—
1418Q8—44no—
1419Q8—228no—
1420Q8—224no—
1421Q8—228no—
1422Q8—448no—
1423Q8—444no—
1424D4—28no—
1425D4—28no—
1426D4—24no—
1427D4—44no—
1428D4—48no—
1429D4—48no—
1430D4—228no—
1431D4—228no—
1432D4—228no—
1433D4—2216no—
1434D4—228no—
1435D4—224no—
1436D4—444no—
1437D4—448no—
1438D4—448no—
1439D4—448no—
1440C2×C4—28no—
1441C2×C4—22no—
1442C2×C4—28no—
1443C2×C4—28no—
1444C2×C4—44no—
1445C2×C4—42no—
1446C2×C4—41no—
1447C2×C4—44no—
1448C2×C4—114no—
1449C2×C4—111no—
1450C2×C4—111no—
1451C2×C4—111no—
1452C2×C4—118no—
1453C2×C4—118no—
1454C2×C4—111no—
1455C2×C4—112no—
1456C2×C4—114no—
1457C2×C4—114no—
1458C2×C4—114no—
1459C2×C4—114no—
1460C2×C4—114no—
1461C2×C4—228no—
1462C2×C4—224no—
1463C2×C4—228no—
1464C2×C4—228no—
1465C2×C4—228no—
1466C2×C4—228no—
1467C2×C4—228no—
1468C2×C4—222no—
1469C2×C4—228no—
1470C2×C4—228no—
1471C2×C4—224no—
1472C2×C4—228no—
1473C2×C4—224no—
1474C2×C4—228no—
1475C2×C4—442no—
1476C2×C4—444no—
1477C2×C4—444no—
1478C2×C4—442no—
1479C2×C4—444no—
1480C2×C4—444no—
1481C2×C4—444no—
1482C2×C4—442no—
1483C2×C4—441no—
1484C2×C4—444no—
1485C2×C4#41×D1114yes—
1486C2×C4C24×D1111yescharacteristic
1487C2×C4C24×D1112yes—
1488C2×C4C24×D1114yes—
1489C2×C4C24×D1114yes—
1490C2×C4C24×D1114yes—
1491C2×C4C24×D1114yes—
1492C2×C4C24×D1112yes—
1493C2×C4C24×D1111yescharacteristic
1494C22—21no—
1495C22—21no—
1496C22—24no—
1497C22—24no—
1498C22—24no—
1499C22—24no—
1500C22—24no—
1501C22—24no—
1502C22—48no—
1503C22—114no—
1504C22—222no—
1505C22—222no—
1506C22—224no—
1507C22—224no—
1508C22—224no—
1509C22—444no—
1510C22—4416no—
1511C22C2×#41×D1112yes—
1512C22C25×D1111yescharacteristic
1513C4—24no—
1514C4—22no—
1515C4—24no—
1516C4—21no—
1517C4—24no—
1518C4—24no—
1519C4—112no—
1520C4—112no—
1521C4—112no—
1522C4—224no—
1523C4—224no—
1524C4—221no—
1525C4—224no—
1526C4—224no—
1527C4—222no—
1528C4—224no—
1529C4C2×#41×D1114yes—
1530C4#1062345512yes—
1531C2—22no—
1532C2—44no—
1533C2—44no—
1534C2—224no—
1535C2—444no—
1536C2C22×#41×D1111yescharacteristic
1537C2D11×#58511yescharacteristic
1538C2C2×#1062345511yescharacteristic
subgroupG/H
centerC2×C4C24×D11
commutator, socle, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC11×#3460C2
hypercenter#3460D11
hypocenterC11#62686
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #3460

Complements

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

NH ≅ G/Ntype
1. #13082050C2semidirect
2. #13082044C2semidirect
3. #13082043C2semidirect
4. #13082042C2semidirect
5. #13082041C2semidirect
6. #13082038C2semidirect
7. #13082031C2semidirect
8. #13082030C2semidirect
9. #13082029C2semidirect
10. #13082027C2semidirect
11. #13082023C2semidirect
12. #13082020C2semidirect
13. #13082003C2semidirect
14. #13082000C2semidirect
15. #13081998C2semidirect
16. #13081947C2semidirect
17. #13081944C2semidirect
18. #13081911C2semidirect
19. #13081910C2semidirect
20. #13081908C2semidirect
21. C2×C4×#4341C2semidirect
22. C4×#41×D11C2semidirect
23. C11×#3460C2semidirect
26. C11×#544C22semidirect
27. C11×#542C22semidirect
28. C11×#540C22semidirect
29. C11×#538C22semidirect
31. C11×#535C22semidirect
32. C11×#532C22semidirect
33. C11×#529C22semidirect
34. C11×#525C22semidirect
35. C4×C11×#41C22semidirect
36. C2×C4×D4×C11C22semidirect
38. #10623363C22semidirect
39. #10623359C22semidirect
40. #41×Dic11C22semidirect
41. #41×Dic11C22semidirect
42. #10623356C22semidirect
43. #10623336C22semidirect
44. C2×D4×Dic11C22semidirect
45. #10623322C22semidirect
47. C22×C4×Dic11C22semidirect
48. #10623264C22semidirect
49. #10623260C22semidirect
50. #10623259C22semidirect
51. #10623259C22semidirect
52. #10623250C22semidirect
54. #10623247C22semidirect
55. #10623246C22semidirect
56. #10623238C22semidirect
57. #10623237C22semidirect
58. #10623237C22semidirect
59. #10623232C22semidirect
60. #10623228C22semidirect
61. #10623222C22semidirect
62. #10623220C22semidirect
63. #10623219C22semidirect
64. #10623213C22semidirect
65. #10623211C22semidirect
66. #10623211C22semidirect
67. #10623211C22semidirect
68. #10623209C22semidirect
69. #10623206C22semidirect
70. #10623200C22semidirect
72. #10623193C22semidirect
73. #10623191C22semidirect
74. #10623191C22semidirect
75. #10623188C22semidirect
76. #10623187C22semidirect
77. #10623180C22semidirect
78. #10623180C22semidirect
79. #10623180C22semidirect
80. #10623176C22semidirect
81. #10623169C22semidirect
83. #10623159C22semidirect
84. #10623158C22semidirect
85. #10623156C22semidirect
86. #10623155C22semidirect
87. #10623155C22semidirect
88. #10623153C22semidirect
89. #10623153C22semidirect
90. #10623153C22semidirect
91. #10623150C22semidirect
92. #10623146C22semidirect
93. #10623144C22semidirect
94. #10623144C22semidirect
97. #10623138C22semidirect
98. #10623137C22semidirect
99. #10623137C22semidirect
100. #10623137C22semidirect
101. #10623137C22semidirect
103. #10623134C22semidirect
104. #10623134C22semidirect
105. #10623133C22semidirect
106. #10623131C22semidirect
107. #10623131C22semidirect
108. #10623131C22semidirect
109. #10623131C22semidirect
110. #10623131C22semidirect
112. #10623127C22semidirect
113. #10623127C22semidirect
114. #10623124C22semidirect
116. #10623117C22semidirect
117. #10623117C22semidirect
118. #10623114C22semidirect
119. #10623109C22semidirect
120. C4×#4343C22semidirect
121. C4×#4343C22semidirect
122. C4×Q8×D11C22semidirect
123. C4×Q8×D11C22semidirect
124. #10623095C22semidirect
125. #10623093C22semidirect
126. #10623092C22semidirect
127. #10623092C22semidirect
128. #10623088C22semidirect
129. #10623088C22semidirect
130. #10623088C22semidirect
131. #10623079C22semidirect
132. #10623078C22semidirect
135. C4×D4×D11C22semidirect
136. C4×D4×D11C22semidirect
137. #10623069C22semidirect
138. #10623069C22semidirect
139. C4×#4341C22semidirect
140. C4×#4341C22semidirect
141. C4×#4341C22semidirect
142. C4×#4341C22semidirect
143. C4×#4341C22semidirect
144. C4×#4341C22semidirect
145. C4×#4341C22semidirect
146. C4×#4341C22semidirect
147. C4×#4341C22semidirect
148. #10623065C22semidirect
149. #10623059C22semidirect
150. #10623057C22semidirect
151. #10623053C22semidirect
152. #10623053C22semidirect
153. #10623053C22semidirect
155. D11×#117C22semidirect
156. #10623050C22semidirect
157. #10623049C22semidirect
158. #10623048C22semidirect
161. #10623031C22semidirect
162. C2×#66940C22semidirect
163. #10623025C22semidirect
165. C2×#66930C22semidirect
166. #10623010C22semidirect
167. C4×#4339C22semidirect
168. C4×#4339C22semidirect
170. C2×C42×D11C22semidirect
171. #10623001C22semidirect
172. C2×C4×Dic22C22semidirect
525. C2×C4×D11#41semidirect
643. #3460D11semidirect
754. #544C2×D11semidirect
765. #542C2×D11semidirect
775. #540C2×D11semidirect
789. #538C2×D11semidirect
802. #535C2×D11semidirect
822. #532C2×D11semidirect
846. #529C2×D11semidirect
858. #525C2×D11semidirect
877. C4×#41C2×D11semidirect
889. C2×C4×D4C2×D11semidirect
1402. C11#62686semidirect

Maximal subgroups

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

subgroupindex
#130820502
#130820442
#130820432
#130820422
#130820412
#130820382
#130820312
#130820302
#130820292
#130820272
#130820232
#130820202
#130820032
#130820002
#130819982
#130819472
#130819442
#130819112
#130819102
#130819082
C2×C4×#43412
C4×#41×D112
C11×#34602
#6268611