Finite Group Databasebeta

← D11×#3507 #15661841

Subgroups — D11×#3507 #15661841

Order 2816.

7130 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082483C211yesmaximal, characteristic, complemented
2#13082482C212yesmaximal, complemented
3#13082481C211yesmaximal, characteristic, complemented
4#13082480C212yesmaximal, complemented
5#13082479C212yesmaximal, complemented
6#13082478C211yesmaximal, characteristic, complemented
7#13082477C214yesmaximal, complemented
8#13082476C214yesmaximal, complemented
9#13082475C214yesmaximal, complemented
10#13082474C212yesmaximal, complemented
11#13082473C212yesmaximal, complemented
12#13082472C214yesmaximal, complemented
13#13082471C212yesmaximal, complemented
14D11×#559C212yesmaximal, complemented
15D11×#557C212yesmaximal, complemented
16D11×#556C214yesmaximal, complemented
17D11×#556C212yesmaximal, complemented
18D11×#554C212yesmaximal, complemented
19D11×#552C214yesmaximal, complemented
20D11×#539C214yesmaximal, complemented
21D11×#536C212yesmaximal, complemented
22D11×#533C211yesmaximal, characteristic, complemented
23D11×#532C211yesmaximal, characteristic
24D11×#529C214yesmaximal, complemented
25D11×#520C212yesmaximal, complemented
26C2×C4×Q8×D11C211yesmaximal, characteristic, complemented
27C11×#3507C211yesmaximal, characteristic, complemented
28C2×#41×D11C2212yes—
29C22×Q8×D11C2211yescharacteristic
30C11×#559C2212yescomplemented
31C11×#557C2212yescomplemented
32C11×#556C2212yescomplemented
33C11×#556C2214yescomplemented
34C11×#554C2212yescomplemented
35C11×#552C2214yescomplemented
36C11×#539C2214yescomplemented
37C11×#536C2212yescomplemented
38C11×#533C2211yescharacteristic, complemented
39C11×#532C2211yescharacteristic
40C11×#529C2214yescomplemented
41C11×#520C2212yescomplemented
42C2×C4×Q8×C11C2211yescharacteristic, complemented
43#10623363C2212yes—
44#10623358C2212yescomplemented
45#10623356C2212yescomplemented
46#10623347C2212yescomplemented
47C2×Q8×Dic11C2211yescharacteristic, complemented
48#10623263C2212yescomplemented
49#10623263C2214yescomplemented
50#10623261C2212yescomplemented
51#10623259C2211yescharacteristic, complemented
52#10623259C2211yescharacteristic, complemented
53#10623256C2211yescharacteristic
54#10623255C2214yescomplemented
55D11×C4⋊Q8C2211yescharacteristic
56D11×C4⋊Q8C2211yescharacteristic
57D11×C4⋊Q8C2211yescharacteristic
58D11×C4⋊Q8C2214yes—
59#10623252C2214yescomplemented
60#10623252C2212yescomplemented
61#10623247C2211yescharacteristic
62D11×#127C2211yescharacteristic
63#10623244C2212yescomplemented
64#10623239C2218yescomplemented
65#10623238C2218yescomplemented
66#10623237C2218yescomplemented
67D11×#126C2218yes—
68D11×#126C2218yes—
69#10623233C2218yescomplemented
70#10623233C2218yescomplemented
71#10623233C2218yescomplemented
72#10623225C2214yescomplemented
73#10623224C2218yescomplemented
74#10623223C2218yescomplemented
75#10623222C2214yescomplemented
76#10623221C2214yescomplemented
77#10623219C2212yescomplemented
78D11×#125C2212yes—
79D11×#125C2218yes—
80D11×#125C2214yes—
81#10623216C2214yescomplemented
82#10623216C2218yescomplemented
83#10623212C2214yescomplemented
84#10623212C2214yescomplemented
85#10623211C2214yescomplemented
86#10623206C2214yescomplemented
87D11×#124C2214yes—
88D11×#124C2212yes—
89D11×#124C2214yes—
90#10623202C2214yescomplemented
91#10623202C2214yescomplemented
92#10623202C2214yescomplemented
93#10623199C2212yes—
94#10623196C2218yescomplemented
95#10623195C2218yescomplemented
96#10623191C2218yescomplemented
97D11×#123C2218yes—
98D11×#123C2218yes—
99#10623181C2218yescomplemented
100#10623180C2218yescomplemented
101#10623179C2218yescomplemented
102#10623176C2214yescomplemented
103#10623173C2214yescomplemented
104#10623172C2214yescomplemented
105#10623172C2218yescomplemented
106#10623170C2214yescomplemented
107#10623169C2218yescomplemented
108#10623167C2218yescomplemented
109#10623166C2214yescomplemented
110#10623159C2214yescomplemented
111#10623159C2214yescomplemented
112D11×C22⋊Q8C2214yes—
113D11×C22⋊Q8C2214yes—
114D11×C22⋊Q8C2212yes—
115D11×C22⋊Q8C2218yes—
116D11×C22⋊Q8C2212yes—
117#10623155C2214yescomplemented
118#10623153C2212yescomplemented
119#10623153C2212yescomplemented
120D11×#121C2212yes—
121D11×#121C2212yes—
122#10623133C2214yescomplemented
123#10623131C2214yescomplemented
124#10623127C2212yes—
125#10623127C2212yes—
126#10623116C2212yescomplemented
127#10623116C2212yescomplemented
128#10623115C2214yescomplemented
129#10623115C2212yescomplemented
130#10623112C2214yescomplemented
131#10623111C2214yescomplemented
132#10623110C2212yescomplemented
133#10623109C2212yescomplemented
134#10623109C2212yescomplemented
135#10623105C2214yescomplemented
136C4×Q8×D11C2212yes—
137C4×Q8×D11C2214yes—
138C4×Q8×D11C2212yes—
139C4×Q8×D11C2212yes—
140C4×Q8×D11C2212yes—
141C4×Q8×D11C2212yes—
142C4×Q8×D11C2214yes—
143C4×Q8×D11C2212yes—
144C4×Q8×D11C2212yescomplemented
145C4×Q8×D11C2212yescomplemented
146C4×Q8×D11C2212yescomplemented
147C4×Q8×D11C2212yescomplemented
148#10623101C2212yescomplemented
149#10623100C2214yescomplemented
150#10623099C2214yescomplemented
151#10623099C2214yescomplemented
152#10623099C2214yescomplemented
153#10623098C2212yescomplemented
154#10623098C2214yescomplemented
155#10623095C2218yescomplemented
156#10623090C2214yescomplemented
157#10623090C2214yescomplemented
158#10623088C2214yescomplemented
159#10623079C2212yes—
160#10623079C2212yes—
161#10623077C2218yescomplemented
162#10623077C2214yescomplemented
163C4×D4×D11C2212yes—
164C4×D4×D11C2214yes—
165C4×D4×D11C2218yes—
166C4×D4×D11C2212yes—
167C4×D4×D11C2214yes—
168#10623074C2212yescomplemented
169#10623073C2214yescomplemented
170#10623073C2212yescomplemented
171#10623072C2214yescomplemented
172#10623070C2214yescomplemented
173#10623069C2218yescomplemented
174#10623064C2218yescomplemented
175#10623064C2214yescomplemented
176#10623062C2218yescomplemented
177#10623060C2214yescomplemented
178#10623059C2218yescomplemented
179#10623057C2212yescomplemented
180#10623054C2214yescomplemented
181#10623054C2212yescomplemented
182D11×#117C2218yes—
183D11×#117C2214yes—
184D11×#117C2212yes—
185#10623048C2212yescomplemented
186#10623046C2214yescomplemented
187#10623044C2214yescomplemented
188#10623042C2214yescomplemented
189#10623035C2212yescomplemented
190#10623035C2214yescomplemented
191C2×C4⋊C4×D11C2214yes—
192C2×C4⋊C4×D11C2212yes—
193C2×C4⋊C4×D11C2211yescharacteristic
194C2×#66940C2211yescharacteristic, complemented
195C2×#66940C2212yescomplemented
196#10623010C2214yescomplemented
197#10623008C2211yescharacteristic
198C2×C42×D11C2212yes—
199C2×C42×D11C2211yescharacteristic
200#10623001C2211yescharacteristic, complemented
201C2×C4×Dic22C2212yescomplemented
202C2×C4×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2312yes—
204C22×Q8×C11C2311yescharacteristic
205#41×D11—216no—
206C2×#4343C2312yes—
207C2×Q8×D11—28no—
208C2×Q8×D11C2312yes—
209C2×Q8×D11C2312yes—
210C2×Q8×D11C2312yes—
211C2×Q8×D11C2312yes—
212C2×Q8×D11C2312yes—
213C2×Q8×D11C2312yes—
214C2×Q8×D11C2312yes—
215C2×#4341C2312yes—
216C2×#4341C2314yes—
217C2×D4×D11C2312yes—
218C2×D4×D11C2312yes—
219C2×D4×D11C2314yes—
220C2×D4×D11C2312yes—
221C2×#4339C2312yes—
222C2×#4339C2314yes—
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2312yes—
225C22×C4×D11C2314yes—
226C22×C4×D11C2312yes—
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2318yes—
229C22×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2312yes—
232C11×C4⋊Q8C2311yescharacteristic
233C11×C4⋊Q8C2314yes—
234C11×C4⋊Q8C2311yescharacteristic
235C11×C4⋊Q8C2311yescharacteristic
236C11×#127C2311yescharacteristic
237C11×#126C2318yes—
238C11×#126C2318yes—
239C11×#125C2314yes—
240C11×#125C2312yes—
241C11×#125C2318yes—
242C11×#124C2314yes—
243C11×#124C2312yes—
244C11×#124C2314yes—
245C11×#123C2318yes—
246C11×#123C2318yes—
247C11×C22⋊Q8C2312yes—
248C11×C22⋊Q8C2312yes—
249C11×C22⋊Q8C2314yes—
250C11×C22⋊Q8C2314yes—
251C11×C22⋊Q8C2318yes—
252C11×#121C2312yes—
253C11×#121C2312yes—
254C4×Q8×C11C2314yes—
255C4×Q8×C11C2312yes—
256C4×Q8×C11C2312yes—
257C4×Q8×C11C2314yes—
258C4×Q8×C11C2312yes—
259C4×Q8×C11C2312yes—
260C4×Q8×C11C2312yes—
261C4×Q8×C11C2312yes—
262C4×D4×C11C2318yes—
263C4×D4×C11C2314yes—
264C4×D4×C11C2312yes—
265C4×D4×C11C2312yes—
266C4×D4×C11C2314yes—
267C11×#117C2312yes—
268C11×#117C2314yes—
269C11×#117C2318yes—
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C11×C4⋊C4C2312yes—
272C2×C11×C4⋊C4C2314yes—
273C2×C42×C11C2311yescharacteristic
274C2×C42×C11C2312yes—
275#67000C2314yes—
276#67000C2312yes—
277#67000C2314yes—
278#66999C2312yes—
279#66999C2312yes—
280#66999C2318yes—
281#66999C2314yes—
282#66999C2314yes—
283Q8×Dic11C2314yes—
284Q8×Dic11C2312yes—
285Q8×Dic11C2312yes—
286Q8×Dic11C2312yes—
287Q8×Dic11C2312yes—
288Q8×Dic11C2314yes—
289Q8×Dic11C2312yes—
290Q8×Dic11C2312yes—
291#66997C2312yes—
292#66997C2314yes—
293#66997C2314yes—
294#66997C2312yes—
295#66997C2312yes—
296#66993C2312yes—
297#66993C2312yes—
298#66993C2312yes—
299#66992C2314yes—
300#66992C2314yes—
301#66991C2312yes—
302#66991C2312yes—
303#66989C2314yes—
304#66989C2314yes—
305#66989C2312yes—
306#66988C2318yes—
307#66988C2318yes—
308D4×Dic11C2314yes—
309D4×Dic11C2314yes—
310D4×Dic11C2312yes—
311D4×Dic11C2312yes—
312D4×Dic11C2318yes—
313#66983C2312yes—
314#66983C2312yes—
315#66982C2318yes—
316#66982C2318yes—
317C4×C22⋊D11C2318yes—
318C4×C22⋊D11C2318yes—
319C4×C22⋊D11C2318yes—
320C4×C22⋊D11C2318yes—
321C4×C22⋊D11C2314yes—
322C4×C22⋊D11C2314yes—
323#66979C2312yes—
324#66979C2314yes—
325#66979C2318yes—
326C2×C4⋊Dic11C2311yescharacteristic
327C2×C4⋊Dic11C2312yes—
328C2×C4⋊Dic11C2314yes—
329#66977C2312yes—
330#66977C2312yes—
331#66977C2314yes—
332#66977C2318yes—
333#66977C2314yes—
334C2×Dic11⋊C4C2312yes—
335C2×Dic11⋊C4C2312yes—
336C2×Dic11⋊C4C2312yes—
337C2×Dic11⋊C4C2318yes—
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2312yes—
340C2×C4×Dic11C2312yes—
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2312yes—
344#66951C2318yes—
345#66951C2318yes—
346#66951C2318yes—
347#66951C2318yes—
348#66951C2318yes—
349#66951C2318yes—
350#66950C2312yes—
351#66950C2312yes—
352#66950C2314yes—
353#66950C2314yes—
354#66950C2318yes—
355#66949C2318yes—
356#66949C2318yes—
357#66949C2318yes—
358#66949C2314yes—
359#66949C2318yes—
360#66949C2314yes—
361#66948C2312yes—
362#66948C2312yes—
363#66947C2318yes—
364#66947C2318yes—
365#66947C2318yes—
366#66947C2318yes—
367#66946C2318yes—
368#66946C2312yes—
369#66946C2312yes—
370#66946C2314yes—
371#66946C2314yes—
372#66945C2318yes—
373#66945C2312yes—
374#66945C2312yes—
375#66945C2314yes—
376#66945C2318yes—
377#66945C2314yes—
378C4⋊C4×D11C2312yes—
379C4⋊C4×D11C2318yes—
380C4⋊C4×D11C2314yes—
381C4⋊C4×D11C2314yes—
382C4⋊C4×D11C2318yes—
383C4⋊C4×D11C2314yes—
384C4⋊C4×D11C2318yes—
385C4⋊C4×D11C2312yes—
386C4⋊C4×D11C2312yes—
387C4⋊C4×D11C2318yes—
388C4⋊C4×D11C2312yes—
389C4⋊C4×D11C2312yes—
390C4⋊C4×D11C2312yes—
391C4⋊C4×D11C2314yes—
392C4⋊C4×D11C2312yes—
393C4⋊C4×D11C2312yes—
394C4⋊C4×D11C2314yes—
395C4⋊C4×D11C2312yes—
396C4⋊C4×D11C2312yes—
397C4⋊C4×D11C2314yes—
398C4⋊C4×D11C2314yes—
399C4⋊C4×D11C2314yes—
400#66943C2318yes—
401#66943C2314yes—
402#66943C2312yes—
403#66943C2312yes—
404#66943C2314yes—
405#66943C2318yes—
406#66942C2318yes—
407#66942C2314yes—
408#66942C2318yes—
409#66942C2318yes—
410#66942C2318yes—
411#66942C2318yes—
412#66942C2318yes—
413#66942C2314yes—
414#66941C2312yes—
415#66941C2318yes—
416#66941C2312yes—
417#66941C2312yes—
418#66941C2318yes—
419#66941C2312yes—
420#66941C2312yes—
421#66941C2312yes—
422#66940C2312yes—
423#66940C2314yes—
424#66940C2314yes—
425#66940C2314yes—
426#66940C2318yes—
427#66940C2318yes—
428#66940C2314yes—
429#66940C2312yes—
430#66940C2312yes—
431#66940C2312yes—
432#66940C2312yes—
433#66940C2312yes—
434#66940C2314yes—
435#66940C2314yes—
436#66940C2314yes—
437#66940C2314yes—
438#66939C2318yes—
439#66939C2318yes—
440#66938C2314yes—
441#66938C2314yes—
442#66938C2318yes—
443#66938C2318yes—
444#66938C2318yes—
445#66938C2318yes—
446#66937C2314yes—
447#66937C2314yes—
448#66936C2318yes—
449#66936C2318yes—
450#66936C2318yes—
451#66936C2318yes—
452(C22⋊D11)⋊C4C2318yes—
453(C22⋊D11)⋊C4C2314yes—
454(C22⋊D11)⋊C4C2318yes—
455(C22⋊D11)⋊C4C2318yes—
456(C22⋊D11)⋊C4C2314yes—
457(C22⋊D11)⋊C4C2318yes—
458C22⋊C4×D11C2314yes—
459C22⋊C4×D11C2318yes—
460C22⋊C4×D11C2314yes—
461C22⋊C4×D11C2318yes—
462C22⋊C4×D11C2318yes—
463C22⋊C4×D11C2314yes—
464#66932C2318yes—
465#66932C2318yes—
466#66932C2318yes—
467#66932C2318yes—
468#66932C2318yes—
469#66932C2318yes—
470#66931C2318yes—
471#66931C2318yes—
472#66931C2318yes—
473#66931C2318yes—
474#66931C2314yes—
475#66931C2314yes—
476#66930C2318yes—
477#66930C2318yes—
478#66930C2318yes—
479#66930C2314yes—
480#66929C2318yes—
481#66929C2318yes—
482#66928C2314yes—
483#66928C2312yes—
484#66928C2314yes—
485#66927C2311yescharacteristic
486C4×D44C2318yes—
487C4×D44C2312yes—
488C4×D44C2314yes—
489C4×D44C2312yes—
490C4×D44C2314yes—
491#66925C2318yes—
492#66925C2318yes—
493#66925C2318yes—
494#66925C2314yes—
495C42×D11C2314yes—
496C42×D11C2318yes—
497C42×D11C2314yes—
498C42×D11C2311yescharacteristic
499C42×D11C2311yescharacteristic
500C42×D11C2311yescharacteristic
501C42×D11C2314yes—
502C42×D11C2311yescharacteristic
503C42×D11C2311yescharacteristic
504C42×D11C2314yes—
505C42×D11C2311yescharacteristic
506C42×D11C2314yes—
507C42×D11C2311yescharacteristic
508C42×D11C2311yescharacteristic
509#66923C2318yes—
510#66923C2312yes—
511#66923C2314yes—
512#66922C2311yescharacteristic
513#66922C2311yescharacteristic
514#66922C2311yescharacteristic
515#66922C2314yes—
516C4×Dic22C2314yes—
517C4×Dic22C2318yes—
518C4×Dic22C2318yes—
519C4×Dic22C2314yes—
520C4×Dic22C2312yes—
521C4×Dic22C2312yes—
522C4×Dic22C2314yes—
523C4×Dic22C2314yes—
524C4×Dic22C2312yes—
525C4×Dic22C2314yes—
526C4×Dic22C2312yes—
527C4×Dic22C2314yes—
528C4×Dic22C2312yes—
529C4×Dic22C2312yes—
530C4×Dic22C2314yes—
531C4×Dic22C2314yes—
532C2×#3507—111nomaximal, Sylow
533C23×D11C2414yes—
534C23×D11C2411yescharacteristic
535C11×#41—28no—
536C2×Q8×C11—24no—
537C2×Q8×C11C2412yes—
538C2×Q8×C11C2412yes—
539C2×Q8×C11C2412yes—
540C2×Q8×C11C2412yes—
541C2×Q8×C11C2412yes—
542C2×D4×C11C2412yes—
543C2×D4×C11C2414yes—
544C2×D4×C11C2412yes—
545C2×D4×C11C2412yes—
546C22×C4×C11C2411yescharacteristic
547C22×C4×C11C2412yes—
548C22×C4×C11C2414yes—
549C22×C4×C11C2411yescharacteristic
550C22×C4×C11C2412yes—
551C22×C4×C11C2418yes—
552C22×C4×C11C2411yescharacteristic
553C2×C22⋊D11C2414yes—
554C2×C22⋊D11C2414yes—
555C2×C22⋊D11C2414yes—
556C2×C22⋊D11C2414yes—
557C2×C22⋊D11C2414yes—
558C22×Dic11C2414yes—
559C22×Dic11C2411yescharacteristic
560C22×Dic11C2412yes—
561C22×Dic11C2418yes—
562C22×Dic11C2411yescharacteristic
563C22×Dic11C2412yes—
564C22×Dic11C2411yescharacteristic
565#4343—28no—
566Q8×D11—28no—
567Q8×D11—28no—
568Q8×D11—28no—
569Q8×D11—28no—
570Q8×D11—28no—
571Q8×D11—28no—
572Q8×D11—44no—
573#4341—216no—
574#4341—28no—
575D4×D11—28no—
576D4×D11—28no—
577D4×D11—216no—
578D4×D11—44no—
579#4339—216no—
580#4339—28no—
581C2×D44C2412yes—
582C2×D44C2412yes—
583C2×D44C2414yes—
584C2×D44C2412yes—
585C2×C4×D11—216no—
586C2×C4×D11—24no—
587C2×C4×D11—28no—
588C2×C4×D11—44no—
589C2×C4×D11—42no—
590C2×C4×D11—416no—
591C2×C4×D11#4118yes—
592C2×C4×D11C2411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×C4×D11C2414yes—
596C2×C4×D11C2414yes—
597C2×C4×D11C2414yes—
598C2×C4×D11C2411yescharacteristic
599C2×C4×D11C2414yes—
600C2×C4×D11C2414yes—
601C2×C4×D11C2411yescharacteristic
602C2×C4×D11C2414yes—
603C2×C4×D11C2414yes—
604C2×C4×D11C2414yes—
605C2×C4×D11C2414yes—
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C2×C4×D11C2418yes—
609C2×C4×D11C2418yes—
610C2×C4×D11C2411yescharacteristic
611C2×C4×D11C2411yescharacteristic
612C2×C4×D11C2411yescharacteristic
613C2×C4×D11C2411yescharacteristic
614C2×C4×D11C2411yescharacteristic
615C2×Dic22—28no—
616C2×Dic22—24no—
617C2×Dic22C2412yes—
618C2×Dic22C2414yes—
619C2×Dic22C2412yes—
620C2×Dic22C2412yes—
621C2×Dic22C2414yes—
622C2×Dic22C2414yes—
623C2×Dic22C2414yes—
624C2×Dic22C2412yes—
625C2×Dic22C2412yes—
626C2×Dic22C2414yes—
627C11×C4⋊C4C2412yes—
628C11×C4⋊C4C2412yes—
629C11×C4⋊C4C2414yes—
630C11×C4⋊C4C2412yes—
631C11×C4⋊C4C2414yes—
632C11×C4⋊C4C2412yes—
633C11×C4⋊C4C2418yes—
634C11×C4⋊C4C2412yes—
635C11×C4⋊C4C2418yes—
636C11×C4⋊C4C2414yes—
637C11×C4⋊C4C2414yes—
638C11×C4⋊C4C2412yes—
639C11×C4⋊C4C2418yes—
640C11×C4⋊C4C2412yes—
641C11×C4⋊C4C2412yes—
642C11×C22⋊C4C2414yes—
643C11×C22⋊C4C2414yes—
644C11×C22⋊C4C2418yes—
645C11×C22⋊C4C2418yes—
646C11×C22⋊C4C2414yes—
647C11×C22⋊C4C2418yes—
648C42×C11C2411yescharacteristic
649C42×C11C2411yescharacteristic
650C42×C11C2414yes—
651C42×C11C2414yes—
652C42×C11C2411yescharacteristic
653C42×C11C2411yescharacteristic
654C42×C11C2418yes—
655C42×C11C2414yes—
656C22⋊Dic11C2414yes—
657C22⋊Dic11C2414yes—
658C22⋊Dic11C2418yes—
659C22⋊Dic11C2418yes—
660C22⋊Dic11C2414yes—
661C22⋊Dic11C2418yes—
662(C2×D11)⋊C4C2414yes—
663(C2×D11)⋊C4C2414yes—
664(C2×D11)⋊C4C2414yes—
665(C2×D11)⋊C4C2418yes—
666(C2×D11)⋊C4C2418yes—
667(C2×D11)⋊C4C2418yes—
668(C2×D11)⋊C4C2418yes—
669(C2×D11)⋊C4C2414yes—
670(C2×D11)⋊C4C2414yes—
671(C2×D11)⋊C4C2418yes—
672(C2×D11)⋊C4C2418yes—
673(C2×D11)⋊C4C2414yes—
674C4⋊Dic11C2412yes—
675C4⋊Dic11C2412yes—
676C4⋊Dic11C2414yes—
677C4⋊Dic11C2414yes—
678C4⋊Dic11C2412yes—
679C4⋊Dic11C2412yes—
680C4⋊Dic11C2418yes—
681C4⋊Dic11C2412yes—
682C4⋊Dic11C2414yes—
683C4⋊Dic11C2418yes—
684C4⋊Dic11C2414yes—
685C4⋊Dic11C2412yes—
686C4⋊Dic11C2412yes—
687C4⋊Dic11C2412yes—
688C4⋊Dic11C2418yes—
689Dic11⋊C4C2414yes—
690Dic11⋊C4C2414yes—
691Dic11⋊C4C2414yes—
692Dic11⋊C4C2414yes—
693Dic11⋊C4C2414yes—
694Dic11⋊C4C2414yes—
695Dic11⋊C4C2414yes—
696Dic11⋊C4C2418yes—
697Dic11⋊C4C2414yes—
698Dic11⋊C4C2414yes—
699Dic11⋊C4C2414yes—
700Dic11⋊C4C2414yes—
701Dic11⋊C4C2418yes—
702Dic11⋊C4C2418yes—
703Dic11⋊C4C2418yes—
704Dic11⋊C4C2414yes—
705Dic11⋊C4C2414yes—
706Dic11⋊C4C2414yes—
707Dic11⋊C4C2418yes—
708Dic11⋊C4C2418yes—
709Dic11⋊C4C2414yes—
710Dic11⋊C4C2414yes—
711C4×Dic11C2414yes—
712C4×Dic11C2411yescharacteristic
713C4×Dic11C2411yescharacteristic
714C4×Dic11C2411yescharacteristic
715C4×Dic11C2411yescharacteristic
716C4×Dic11C2411yescharacteristic
717C4×Dic11C2414yes—
718C4×Dic11C2411yescharacteristic
719C4×Dic11C2414yes—
720C4×Dic11C2414yes—
721C4×Dic11C2418yes—
722C4×Dic11C2418yes—
723C4×Dic11C2414yes—
724C4×Dic11C2414yes—
725C4×Dic11C2414yes—
726C4×Dic11C2411yescharacteristic
727C4×Dic11C2414yes—
728C4×Dic11C2411yescharacteristic
729C4×Dic11C2411yescharacteristic
730C4×Dic11C2411yescharacteristic
731C4×Dic11C2411yescharacteristic
732C4×Dic11C2411yescharacteristic
733C4×Dic11C2418yes—
734C4×Dic11C2414yes—
735#3507—112no—
736#3507—112no—
737#3507—112no—
738#3507—114no—
739#3507—112no—
740#3507—114no—
741#3507—114no—
742#3507—112no—
743#3507—111no—
744#3507—111no—
745#3507—114no—
746#3507—112no—
747#3507—111no—
748#3507D1111yescharacteristic, direct product factor
749C2×#559—112no—
750C2×#557—112no—
751C2×#556—112no—
752C2×#556—114no—
753C2×#554—112no—
754C2×#552—114no—
755C2×#539—114no—
756C2×#536—112no—
757C2×#533—111no—
758C2×#532—111no—
759C2×#529—114no—
760C2×#520—112no—
761C22×C4×Q8—111no—
762C23×C11C2514yes—
763C23×C11C2511yescharacteristic
764C22×D11—22no—
765C22×D11—22no—
766C22×D11—28no—
767C22×D11—28no—
768C22×D11—28no—
769C22×D11C2×#4114yes—
770C22×D11C2514yes—
771C22×D11C2511yescharacteristic
772C22×D11C2511yescharacteristic
773Q8×C11—24no—
774Q8×C11—24no—
775Q8×C11—24no—
776Q8×C11—24no—
777Q8×C11—42no—
778D4×C11—28no—
779D4×C11—24no—
780D4×C11—24no—
781D4×C11—42no—
782C2×C4×C11—24no—
783C2×C4×C11—28no—
784C2×C4×C11—22no—
785C2×C4×C11—42no—
786C2×C4×C11—48no—
787C2×C4×C11—41no—
788C2×C4×C11C2×#4114yes—
789C2×C4×C11C2511yescharacteristic
790C2×C4×C11C2514yes—
791C2×C4×C11C2514yes—
792C2×C4×C11C2511yescharacteristic
793C2×C4×C11C2514yes—
794C2×C4×C11C2514yes—
795C2×C4×C11C2511yescharacteristic
796C2×C4×C11C2514yes—
797C2×C4×C11C2511yescharacteristic
798C2×C4×C11C2511yescharacteristic
799C2×C4×C11C2511yescharacteristic
800C22⋊D11—28no—
801C22⋊D11—28no—
802C22⋊D11—28no—
803C22⋊D11—28no—
804C22⋊D11—44no—
805C2×Dic11—24no—
806C2×Dic11—28no—
807C2×Dic11—22no—
808C2×Dic11—41no—
809C2×Dic11—48no—
810C2×Dic11—42no—
811C2×Dic11C2×#4114yes—
812C2×Dic11C2511yescharacteristic
813C2×Dic11C2514yes—
814C2×Dic11C2514yes—
815C2×Dic11C2511yescharacteristic
816C2×Dic11C2514yes—
817C2×Dic11C2514yes—
818C2×Dic11C2511yescharacteristic
819C2×Dic11C2514yes—
820C2×Dic11C2511yescharacteristic
821C2×Dic11C2511yescharacteristic
822C2×Dic11C2511yescharacteristic
823D44—28no—
824D44—24no—
825D44—24no—
826D44—42no—
827C4×D11—28no—
828C4×D11—28no—
829C4×D11—28no—
830C4×D11—22no—
831C4×D11—28no—
832C4×D11—28no—
833C4×D11—28no—
834C4×D11—22no—
835C4×D11—22no—
836C4×D11—28no—
837C4×D11—22no—
838C4×D11—28no—
839C4×D11—22no—
840C4×D11—41no—
841C4×D11—48no—
842C4×D11—44no—
843C4×D11—48no—
844C4×D11—41no—
845C4×D11C2×#4114yes—
846C4×D11C2×#4114yes—
847C4×D11C2×#4114yes—
848C4×D11C2×#4114yes—
849C4×D112−1+414yes—
850Dic22—24no—
851Dic22—24no—
852Dic22—24no—
853Dic22—24no—
854Dic22—28no—
855Dic22—28no—
856Dic22—28no—
857Dic22—28no—
858Dic22—44no—
859Dic22—42no—
860C22×#41—112no—
861C23×Q8—111no—
862#559—112no—
863#559—114no—
864#559—114no—
865#559—118no—
866#559—112no—
867#559—112no—
868#559—114no—
869#559—114no—
870#559C2×D1112yescomplemented
871#557—114no—
872#557—112no—
873#557—118no—
874#557—114no—
875#557—114no—
876#557—112no—
877#557—114no—
878#557—112no—
879#557C2×D1112yescomplemented
880#556—112no—
881#556—114no—
882#556—118no—
883#556—118no—
884#556—118no—
885#556—114no—
886#556—114no—
887#556—114no—
888#556—114no—
889#556—118no—
890#556—114no—
891#556—114no—
892#556—114no—
893#556—112no—
894#556—114no—
895#556—112no—
896#556—114no—
897#556—114no—
898#556—118no—
899#556C2×D1112yescomplemented
900#556C2×D1114yescomplemented
901#554—112no—
902#554—114no—
903#554—114no—
904#554—118no—
905#554—112no—
906#554—114no—
907#554—112no—
908#554—114no—
909#554C2×D1112yescomplemented
910#552—118no—
911#552—118no—
912#552—114no—
913#552—118no—
914#552—114no—
915#552—114no—
916#552—114no—
917#552—114no—
918#552—114no—
919#552—118no—
920#552—114no—
921#552C2×D1114yescomplemented
922#539—118no—
923#539—118no—
924#539—118no—
925#539—118no—
926#539—118no—
927#539—114no—
928#539—114no—
929#539—118no—
930#539—114no—
931#539C2×D1114yescomplemented
932#536—112no—
933#536—112no—
934#536—114no—
935#536—114no—
936#536—118no—
937#536—114no—
938#536—114no—
939#536—112no—
940#536C2×D1112yescomplemented
941#533—111no—
942#533—111no—
943#533—112no—
944#533—112no—
945#533—112no—
946#533—112no—
947#533—112no—
948#533—112no—
949#533—111no—
950#533C2×D1111yescharacteristic, complemented
951#532—112no—
952#532—111no—
953#532—111no—
954#532—112no—
955#532—112no—
956#532—112no—
957#532—112no—
958#532—112no—
959#532—111no—
960#532C2×D1111yescharacteristic
961C2×C4⋊Q8—111no—
962C2×C4⋊Q8—111no—
963C2×C4⋊Q8—111no—
964C2×C4⋊Q8—114no—
965C2×#127—111no—
966#529—118no—
967#529—114no—
968#529—114no—
969#529—118no—
970#529—114no—
971#529—114no—
972#529—114no—
973#529—118no—
974#529—114no—
975#529—118no—
976#529—114no—
977#529C2×D1114yescomplemented
978C2×#126—118no—
979C2×#126—118no—
980C2×#125—114no—
981C2×#125—112no—
982C2×#125—118no—
983C2×#124—114no—
984C2×#124—112no—
985C2×#124—114no—
986C2×#123—118no—
987C2×#123—118no—
988C2×C22⋊Q8—112no—
989C2×C22⋊Q8—112no—
990C2×C22⋊Q8—114no—
991C2×C22⋊Q8—114no—
992C2×C22⋊Q8—118no—
993C2×#121—112no—
994C2×#121—112no—
995#520—112no—
996#520—114no—
997#520—118no—
998#520—114no—
999#520—112no—
1000#520—114no—
1001#520—114no—
1002#520—112no—
1003#520C2×D1112yescomplemented
1004C2×C4×Q8—111no—
1005C2×C4×Q8—112no—
1006C2×C4×Q8—112no—
1007C2×C4×Q8—112no—
1008C2×C4×Q8—112no—
1009C2×C4×Q8—112no—
1010C2×C4×Q8—112no—
1011C2×C4×Q8—112no—
1012C2×C4×Q8—112no—
1013C2×C4×Q8—114no—
1014C2×C4×Q8—114no—
1015C2×C4×Q8—112no—
1016C2×C4×Q8—112no—
1017C2×C4×Q8—112no—
1018C2×C4×Q8—111no—
1019C2×C4×Q8—111no—
1020C2×C4×Q8—112no—
1021C2×C4×Q8C2×D1111yescharacteristic, complemented
1022C2×C4×D4—118no—
1023C2×C4×D4—114no—
1024C2×C4×D4—114no—
1025C2×C4×D4—112no—
1026C2×C4×D4—112no—
1027C2×#117—112no—
1028C2×#117—114no—
1029C2×#117—118no—
1030C22×C4⋊C4—111no—
1031C22×C4⋊C4—112no—
1032C22×C4⋊C4—114no—
1033C22×C42—112no—
1034C22×C42—111no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—24no—
1038C22×C11—24no—
1039C22×C11—24no—
1040C22×C11C22×#4112yes—
1041C22×C11C2611yescharacteristic
1042C2×D11—21no—
1043C2×D11—21no—
1044C2×D11—28no—
1045C2×D11—24no—
1046C2×D11—24no—
1047C2×D11—24no—
1048C2×D11—416no—
1049C2×D11C22×#4112yes—
1050C2×D11C22×#4112yes—
1051C2×D11C2×2−1+412yes—
1052C2×D11#58512yes—
1053C4×C11—24no—
1054C4×C11—24no—
1055C4×C11—21no—
1056C4×C11—24no—
1057C4×C11—24no—
1058C4×C11—24no—
1059C4×C11—21no—
1060C4×C11—21no—
1061C4×C11C22×#4112yes—
1062C4×C11C22×#4112yes—
1063C4×C11C2×2−1+412yes—
1064Dic11—24no—
1065Dic11—24no—
1066Dic11—24no—
1067Dic11—21no—
1068Dic11—21no—
1069Dic11—24no—
1070Dic11—24no—
1071Dic11—21no—
1072Dic11C22×#4112yes—
1073Dic11C22×#4112yes—
1074Dic11C2×2−1+412yes—
1075C2×#41—112no—
1076C2×#41—114no—
1077C2×#41—112no—
1078C2×#41—114no—
1079C2×#41—112no—
1080C2×#41—2216no—
1081C2×#41C22×D1112yes—
1082C22×Q8—112no—
1083C22×Q8—112no—
1084C22×Q8—112no—
1085C22×Q8—112no—
1086C22×Q8—112no—
1087C22×Q8—112no—
1088C22×Q8—112no—
1089C22×Q8—112no—
1090C22×Q8—111no—
1091C22×Q8—228no—
1092C22×Q8C22×D1111yescharacteristic
1093C22×D4—112no—
1094C22×D4—114no—
1095C22×D4—112no—
1096C22×D4—112no—
1097C23×C4—111no—
1098C23×C4—114no—
1099C23×C4—112no—
1100C23×C4—111no—
1101C23×C4—112no—
1102C23×C4—111no—
1103C23×C4—118no—
1104C4⋊Q8—112no—
1105C4⋊Q8—112no—
1106C4⋊Q8—112no—
1107C4⋊Q8—114no—
1108C4⋊Q8—114no—
1109C4⋊Q8—112no—
1110C4⋊Q8—112no—
1111C4⋊Q8—112no—
1112C4⋊Q8—112no—
1113C4⋊Q8—112no—
1114C4⋊Q8—112no—
1115C4⋊Q8—118no—
1116C4⋊Q8—118no—
1117C4⋊Q8—111no—
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—114no—
1121C4⋊Q8C22×D1111yescharacteristic
1122C4⋊Q8C22×D1111yescharacteristic
1123C4⋊Q8C22×D1111yescharacteristic
1124C4⋊Q8C22×D1114yes—
1125#127—112no—
1126#127—112no—
1127#127—112no—
1128#127—111no—
1129#127C22×D1111yescharacteristic
1130#126—118no—
1131#126—118no—
1132#126—118no—
1133#126—118no—
1134#126—118no—
1135#126—118no—
1136#126—118no—
1137#126—118no—
1138#126—118no—
1139#126—118no—
1140#126—118no—
1141#126—118no—
1142#126—118no—
1143#126—118no—
1144#126C22×D1118yes—
1145#126C22×D1118yes—
1146#125—118no—
1147#125—118no—
1148#125—114no—
1149#125—114no—
1150#125—114no—
1151#125—114no—
1152#125—112no—
1153#125—112no—
1154#125—118no—
1155#125—118no—
1156#125—118no—
1157#125—118no—
1158#125—118no—
1159#125—118no—
1160#125—114no—
1161#125—112no—
1162#125—118no—
1163#125C22×D1114yes—
1164#125C22×D1112yes—
1165#125C22×D1118yes—
1166#124—114no—
1167#124—112no—
1168#124—114no—
1169#124—114no—
1170#124—112no—
1171#124—114no—
1172#124—118no—
1173#124—118no—
1174#124—114no—
1175#124—114no—
1176#124—118no—
1177#124—118no—
1178#124—114no—
1179#124—112no—
1180#124—114no—
1181#124C22×D1114yes—
1182#124C22×D1112yes—
1183#124C22×D1114yes—
1184#123—118no—
1185#123—118no—
1186#123—118no—
1187#123—118no—
1188#123—118no—
1189#123—118no—
1190#123—118no—
1191#123—118no—
1192#123—118no—
1193#123—118no—
1194#123—118no—
1195#123—118no—
1196#123—118no—
1197#123—118no—
1198#123C22×D1118yes—
1199#123C22×D1118yes—
1200C22⋊Q8—112no—
1201C22⋊Q8—112no—
1202C22⋊Q8—114no—
1203C22⋊Q8—114no—
1204C22⋊Q8—118no—
1205C22⋊Q8—112no—
1206C22⋊Q8—112no—
1207C22⋊Q8—114no—
1208C22⋊Q8—114no—
1209C22⋊Q8—118no—
1210C22⋊Q8—114no—
1211C22⋊Q8—112no—
1212C22⋊Q8—114no—
1213C22⋊Q8—112no—
1214C22⋊Q8—118no—
1215C22⋊Q8—114no—
1216C22⋊Q8—118no—
1217C22⋊Q8—114no—
1218C22⋊Q8—118no—
1219C22⋊Q8—118no—
1220C22⋊Q8—118no—
1221C22⋊Q8—114no—
1222C22⋊Q8—114no—
1223C22⋊Q8—118no—
1224C22⋊Q8—118no—
1225C22⋊Q8—118no—
1226C22⋊Q8—118no—
1227C22⋊Q8C22×D1112yes—
1228C22⋊Q8C22×D1112yes—
1229C22⋊Q8C22×D1114yes—
1230C22⋊Q8C22×D1114yes—
1231C22⋊Q8C22×D1118yes—
1232#121—112no—
1233#121—114no—
1234#121—112no—
1235#121—114no—
1236#121—112no—
1237#121—112no—
1238#121—112no—
1239#121—112no—
1240#121—114no—
1241#121—114no—
1242#121C22×D1112yes—
1243#121C22×D1112yes—
1244C4×Q8—112no—
1245C4×Q8—112no—
1246C4×Q8—112no—
1247C4×Q8—112no—
1248C4×Q8—114no—
1249C4×Q8—114no—
1250C4×Q8—112no—
1251C4×Q8—112no—
1252C4×Q8—114no—
1253C4×Q8—112no—
1254C4×Q8—114no—
1255C4×Q8—112no—
1256C4×Q8—114no—
1257C4×Q8—112no—
1258C4×Q8—114no—
1259C4×Q8—112no—
1260C4×Q8—118no—
1261C4×Q8—114no—
1262C4×Q8—118no—
1263C4×Q8—114no—
1264C4×Q8—112no—
1265C4×Q8—114no—
1266C4×Q8—114no—
1267C4×Q8—112no—
1268C4×Q8—112no—
1269C4×Q8—114no—
1270C4×Q8—114no—
1271C4×Q8—112no—
1272C4×Q8—112no—
1273C4×Q8—114no—
1274C4×Q8—112no—
1275C4×Q8—114no—
1276C4×Q8—114no—
1277C4×Q8—118no—
1278C4×Q8—118no—
1279C4×Q8—114no—
1280C4×Q8—114no—
1281C4×Q8—112no—
1282C4×Q8—114no—
1283C4×Q8—112no—
1284C4×Q8C22×D1112yes—
1285C4×Q8C22×D1112yes—
1286C4×Q8C22×D1112yes—
1287C4×Q8C22×D1112yes—
1288C4×Q8C22×D1114yes—
1289C4×Q8C22×D1114yes—
1290C4×Q8C22×D1112yes—
1291C4×Q8C22×D1112yes—
1292C4×D4—118no—
1293C4×D4—114no—
1294C4×D4—114no—
1295C4×D4—112no—
1296C4×D4—112no—
1297C4×D4—118no—
1298C4×D4—118no—
1299C4×D4—118no—
1300C4×D4—118no—
1301C4×D4—114no—
1302C4×D4—114no—
1303C4×D4—118no—
1304C4×D4—114no—
1305C4×D4—114no—
1306C4×D4—112no—
1307C4×D4—112no—
1308C4×D4—118no—
1309C4×D4—118no—
1310C4×D4—118no—
1311C4×D4—118no—
1312C4×D4—114no—
1313C4×D4—114no—
1314C4×D4—118no—
1315C4×D4—114no—
1316C4×D4—114no—
1317C4×D4—112no—
1318C4×D4—112no—
1319C4×D4C22×D1118yes—
1320C4×D4C22×D1114yes—
1321C4×D4C22×D1114yes—
1322C4×D4C22×D1112yes—
1323C4×D4C22×D1112yes—
1324#117—112no—
1325#117—114no—
1326#117—118no—
1327#117—112no—
1328#117—112no—
1329#117—114no—
1330#117—114no—
1331#117—118no—
1332#117—118no—
1333#117—114no—
1334#117—118no—
1335#117—118no—
1336#117—118no—
1337#117—114no—
1338#117—118no—
1339#117—118no—
1340#117—118no—
1341#117C22×D1112yes—
1342#117C22×D1114yes—
1343#117C22×D1118yes—
1344C2×C4⋊C4—112no—
1345C2×C4⋊C4—111no—
1346C2×C4⋊C4—112no—
1347C2×C4⋊C4—112no—
1348C2×C4⋊C4—112no—
1349C2×C4⋊C4—118no—
1350C2×C4⋊C4—114no—
1351C2×C4⋊C4—112no—
1352C2×C4⋊C4—112no—
1353C2×C4⋊C4—112no—
1354C2×C4⋊C4—118no—
1355C2×C4⋊C4—112no—
1356C2×C4⋊C4—112no—
1357C2×C4⋊C4—114no—
1358C2×C4⋊C4—114no—
1359C2×C4⋊C4—114no—
1360C2×C4⋊C4—114no—
1361C2×C4⋊C4—118no—
1362C2×C4⋊C4—114no—
1363C2×C4⋊C4—114no—
1364C2×C4⋊C4—112no—
1365C2×C4⋊C4—114no—
1366C2×C4⋊C4—118no—
1367C2×C4⋊C4—112no—
1368C2×C4⋊C4—112no—
1369C2×C4⋊C4—112no—
1370C2×C4⋊C4—114no—
1371C2×C4⋊C4—118no—
1372C2×C4⋊C4—112no—
1373C2×C4⋊C4C22×D1111yescharacteristic
1374C2×C4⋊C4C22×D1112yes—
1375C2×C4⋊C4C22×D1114yes—
1376C2×C22⋊C4—114no—
1377C2×C22⋊C4—114no—
1378C2×C22⋊C4—118no—
1379C2×C22⋊C4—118no—
1380C2×C22⋊C4—114no—
1381C2×C22⋊C4—118no—
1382C2×C42—112no—
1383C2×C42—112no—
1384C2×C42—112no—
1385C2×C42—111no—
1386C2×C42—111no—
1387C2×C42—111no—
1388C2×C42—118no—
1389C2×C42—114no—
1390C2×C42—114no—
1391C2×C42—111no—
1392C2×C42—111no—
1393C2×C42—114no—
1394C2×C42—111no—
1395C2×C42—111no—
1396C2×C42—114no—
1397C2×C42—114no—
1398C2×C42—111no—
1399C2×C42—111no—
1400C2×C42—111no—
1401C2×C42—111no—
1402C2×C42C22×D1112yes—
1403C2×C42C22×D1111yescharacteristic
1404C2×C11—22no—
1405C2×C11—44no—
1406C2×C11C23×#4111yescharacteristic
1407C2×C11C22×2−1+411yescharacteristic
1408C2×C11C2×#58511yescharacteristic
1409D11—22no—
1410D11—44no—
1411D11#350714yesdirect product factor
1412C24—111no—
1413C24—114no—
1414#41—28no—
1415#41—2216no—
1416#41—2216no—
1417#41—228no—
1418#41—228no—
1419#41—228no—
1420C2×Q8—24no—
1421C2×Q8—114no—
1422C2×Q8—112no—
1423C2×Q8—114no—
1424C2×Q8—112no—
1425C2×Q8—114no—
1426C2×Q8—112no—
1427C2×Q8—114no—
1428C2×Q8—112no—
1429C2×Q8—114no—
1430C2×Q8—112no—
1431C2×Q8—228no—
1432C2×Q8—228no—
1433C2×Q8—228no—
1434C2×Q8—228no—
1435C2×Q8—228no—
1436C2×Q8—228no—
1437C2×Q8—228no—
1438C2×Q8—224no—
1439C2×Q8—444no—
1440C2×Q8C23×D1112yes—
1441C2×Q8C23×D1112yes—
1442C2×Q8C23×D1112yes—
1443C2×Q8C23×D1112yes—
1444C2×Q8C23×D1112yes—
1445C2×D4—114no—
1446C2×D4—114no—
1447C2×D4—114no—
1448C2×D4—114no—
1449C2×D4—114no—
1450C2×D4—112no—
1451C2×D4—114no—
1452C2×D4—112no—
1453C2×D4—112no—
1454C2×D4—228no—
1455C2×D4—228no—
1456C2×D4—2216no—
1457C2×D4—444no—
1458C2×D4C23×D1112yes—
1459C2×D4C23×D1114yes—
1460C2×D4C23×D1112yes—
1461C2×D4C23×D1112yes—
1462C22×C4—111no—
1463C22×C4—118no—
1464C22×C4—111no—
1465C22×C4—111no—
1466C22×C4—111no—
1467C22×C4—111no—
1468C22×C4—111no—
1469C22×C4—111no—
1470C22×C4—112no—
1471C22×C4—114no—
1472C22×C4—112no—
1473C22×C4—111no—
1474C22×C4—118no—
1475C22×C4—111no—
1476C22×C4—111no—
1477C22×C4—111no—
1478C22×C4—114no—
1479C22×C4—114no—
1480C22×C4—114no—
1481C22×C4—111no—
1482C22×C4—114no—
1483C22×C4—111no—
1484C22×C4—114no—
1485C22×C4—114no—
1486C22×C4—114no—
1487C22×C4—114no—
1488C22×C4—114no—
1489C22×C4—111no—
1490C22×C4—111no—
1491C22×C4—118no—
1492C22×C4—118no—
1493C22×C4—2216no—
1494C22×C4—224no—
1495C22×C4—228no—
1496C22×C4—444no—
1497C22×C4—4416no—
1498C22×C4—442no—
1499C22×C4C23×D1111yescharacteristic
1500C22×C4C23×D1112yes—
1501C22×C4C23×D1114yes—
1502C22×C4C23×D1112yes—
1503C22×C4C23×D1111yescharacteristic
1504C22×C4C23×D1118yes—
1505C22×C4C23×D1111yescharacteristic
1506C4⋊C4—114no—
1507C4⋊C4—112no—
1508C4⋊C4—114no—
1509C4⋊C4—112no—
1510C4⋊C4—114no—
1511C4⋊C4—112no—
1512C4⋊C4—118no—
1513C4⋊C4—118no—
1514C4⋊C4—118no—
1515C4⋊C4—114no—
1516C4⋊C4—114no—
1517C4⋊C4—114no—
1518C4⋊C4—114no—
1519C4⋊C4—114no—
1520C4⋊C4—114no—
1521C4⋊C4—114no—
1522C4⋊C4—112no—
1523C4⋊C4—114no—
1524C4⋊C4—114no—
1525C4⋊C4—114no—
1526C4⋊C4—118no—
1527C4⋊C4—118no—
1528C4⋊C4—118no—
1529C4⋊C4—114no—
1530C4⋊C4—112no—
1531C4⋊C4—114no—
1532C4⋊C4—112no—
1533C4⋊C4—114no—
1534C4⋊C4—112no—
1535C4⋊C4—114no—
1536C4⋊C4—114no—
1537C4⋊C4—114no—
1538C4⋊C4—118no—
1539C4⋊C4—118no—
1540C4⋊C4—118no—
1541C4⋊C4—114no—
1542C4⋊C4—112no—
1543C4⋊C4C23×D1112yes—
1544C4⋊C4C23×D1112yes—
1545C4⋊C4C23×D1112yes—
1546C4⋊C4C23×D1118yes—
1547C4⋊C4C23×D1114yes—
1548C4⋊C4C23×D1114yes—
1549C4⋊C4C23×D1112yes—
1550C4⋊C4C23×D1114yes—
1551C4⋊C4C23×D1118yes—
1552C4⋊C4C23×D1112yes—
1553C4⋊C4C23×D1112yes—
1554C4⋊C4C23×D1112yes—
1555C4⋊C4C23×D1114yes—
1556C4⋊C4C23×D1118yes—
1557C4⋊C4C23×D1112yes—
1558C22⋊C4—114no—
1559C22⋊C4—114no—
1560C22⋊C4—118no—
1561C22⋊C4—118no—
1562C22⋊C4—114no—
1563C22⋊C4—118no—
1564C22⋊C4—114no—
1565C22⋊C4—114no—
1566C22⋊C4—114no—
1567C22⋊C4—114no—
1568C22⋊C4—118no—
1569C22⋊C4—118no—
1570C22⋊C4—118no—
1571C22⋊C4—118no—
1572C22⋊C4—114no—
1573C22⋊C4—114no—
1574C22⋊C4—118no—
1575C22⋊C4—118no—
1576C22⋊C4C23×D1114yes—
1577C22⋊C4C23×D1114yes—
1578C22⋊C4C23×D1118yes—
1579C22⋊C4C23×D1118yes—
1580C22⋊C4C23×D1114yes—
1581C22⋊C4C23×D1118yes—
1582C42—114no—
1583C42—114no—
1584C42—114no—
1585C42—111no—
1586C42—111no—
1587C42—111no—
1588C42—111no—
1589C42—111no—
1590C42—111no—
1591C42—114no—
1592C42—114no—
1593C42—114no—
1594C42—111no—
1595C42—111no—
1596C42—111no—
1597C42—111no—
1598C42—111no—
1599C42—111no—
1600C42—118no—
1601C42—118no—
1602C42—118no—
1603C42—114no—
1604C42—114no—
1605C42—114no—
1606C42C23×D1114yes—
1607C42C23×D1111yescharacteristic
1608C42C23×D1111yescharacteristic
1609C42C23×D1114yes—
1610C42C23×D1111yescharacteristic
1611C42C23×D1111yescharacteristic
1612C42C23×D1118yes—
1613C42C23×D1114yes—
1614C11C2×#350711yescharacteristic, complemented, Sylow
1615C23—111no—
1616C23—114no—
1617C23—111no—
1618C23—114no—
1619C23—222no—
1620C23—222no—
1621C23—228no—
1622C23—228no—
1623C23—228no—
1624C23C24×D1114yes—
1625C23C24×D1111yescharacteristic
1626Q8—24no—
1627Q8—24no—
1628Q8—24no—
1629Q8—24no—
1630Q8—42no—
1631Q8—228no—
1632Q8—228no—
1633Q8—228no—
1634Q8—228no—
1635Q8—224no—
1636Q8—224no—
1637Q8—224no—
1638Q8—224no—
1639Q8—444no—
1640Q8—442no—
1641D4—28no—
1642D4—24no—
1643D4—24no—
1644D4—42no—
1645D4—228no—
1646D4—228no—
1647D4—228no—
1648D4—228no—
1649D4—228no—
1650D4—224no—
1651D4—224no—
1652D4—442no—
1653D4—444no—
1654C2×C4—24no—
1655C2×C4—28no—
1656C2×C4—22no—
1657C2×C4—42no—
1658C2×C4—48no—
1659C2×C4—41no—
1660C2×C4—114no—
1661C2×C4—111no—
1662C2×C4—111no—
1663C2×C4—111no—
1664C2×C4—114no—
1665C2×C4—114no—
1666C2×C4—114no—
1667C2×C4—114no—
1668C2×C4—114no—
1669C2×C4—111no—
1670C2×C4—114no—
1671C2×C4—114no—
1672C2×C4—114no—
1673C2×C4—111no—
1674C2×C4—114no—
1675C2×C4—111no—
1676C2×C4—114no—
1677C2×C4—228no—
1678C2×C4—222no—
1679C2×C4—228no—
1680C2×C4—228no—
1681C2×C4—228no—
1682C2×C4—222no—
1683C2×C4—228no—
1684C2×C4—228no—
1685C2×C4—222no—
1686C2×C4—222no—
1687C2×C4—228no—
1688C2×C4—228no—
1689C2×C4—222no—
1690C2×C4—224no—
1691C2×C4—228no—
1692C2×C4—222no—
1693C2×C4—444no—
1694C2×C4—448no—
1695C2×C4—448no—
1696C2×C4—441no—
1697C2×C4—441no—
1698C2×C4—442no—
1699C2×C4—448no—
1700C2×C4—441no—
1701C2×C4#41×D1114yes—
1702C2×C4C24×D1111yescharacteristic
1703C2×C4C24×D1114yes—
1704C2×C4C24×D1114yes—
1705C2×C4C24×D1114yes—
1706C2×C4C24×D1111yescharacteristic
1707C2×C4C24×D1114yes—
1708C2×C4C24×D1111yescharacteristic
1709C2×C4C24×D1114yes—
1710C2×C4C24×D1111yescharacteristic
1711C2×C4C24×D1111yescharacteristic
1712C2×C4C24×D1111yescharacteristic
1713C22—21no—
1714C22—21no—
1715C22—24no—
1716C22—24no—
1717C22—24no—
1718C22—112no—
1719C22—112no—
1720C22—112no—
1721C22—112no—
1722C22—228no—
1723C22—221no—
1724C22—221no—
1725C22—224no—
1726C22—224no—
1727C22—224no—
1728C22—4416no—
1729C22C2×#41×D1112yes—
1730C22C25×D1111yescharacteristic
1731C4—24no—
1732C4—24no—
1733C4—21no—
1734C4—24no—
1735C4—24no—
1736C4—24no—
1737C4—21no—
1738C4—21no—
1739C4—112no—
1740C4—112no—
1741C4—112no—
1742C4—224no—
1743C4—224no—
1744C4—221no—
1745C4—224no—
1746C4—224no—
1747C4—224no—
1748C4—221no—
1749C4—221no—
1750C4C2×#41×D1112yes—
1751C4C2×#41×D1112yes—
1752C4D11×2−1+412yes—
1753C2—22no—
1754C2—44no—
1755C2—114no—
1756C2—222no—
1757C2—444no—
1758C2C22×#41×D1111yescharacteristic
1759C2C2×D11×2−1+411yescharacteristic
1760C2D11×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3507C2
prime radicalD11×#532C2
hypercenter#3507D11
hypocenterC11C2×#3507
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #13082483C2semidirect
2. #13082482C2semidirect
3. #13082481C2semidirect
4. #13082480C2semidirect
5. #13082479C2semidirect
6. #13082478C2semidirect
7. #13082477C2semidirect
8. #13082476C2semidirect
9. #13082475C2semidirect
10. #13082474C2semidirect
11. #13082473C2semidirect
12. #13082472C2semidirect
13. #13082471C2semidirect
14. D11×#559C2semidirect
15. D11×#557C2semidirect
16. D11×#556C2semidirect
17. D11×#556C2semidirect
18. D11×#554C2semidirect
19. D11×#552C2semidirect
20. D11×#539C2semidirect
21. D11×#536C2semidirect
22. D11×#533C2semidirect
24. D11×#529C2semidirect
25. D11×#520C2semidirect
26. C2×C4×Q8×D11C2semidirect
27. C11×#3507C2semidirect
30. C11×#559C22semidirect
31. C11×#557C22semidirect
32. C11×#556C22semidirect
33. C11×#556C22semidirect
34. C11×#554C22semidirect
35. C11×#552C22semidirect
36. C11×#539C22semidirect
37. C11×#536C22semidirect
38. C11×#533C22semidirect
40. C11×#529C22semidirect
41. C11×#520C22semidirect
42. C2×C4×Q8×C11C22semidirect
44. #10623358C22semidirect
45. #10623356C22semidirect
46. #10623347C22semidirect
47. C2×Q8×Dic11C22semidirect
48. #10623263C22semidirect
49. #10623263C22semidirect
50. #10623261C22semidirect
51. #10623259C22semidirect
52. #10623259C22semidirect
54. #10623255C22semidirect
59. #10623252C22semidirect
60. #10623252C22semidirect
63. #10623244C22semidirect
64. #10623239C22semidirect
65. #10623238C22semidirect
66. #10623237C22semidirect
69. #10623233C22semidirect
70. #10623233C22semidirect
71. #10623233C22semidirect
72. #10623225C22semidirect
73. #10623224C22semidirect
74. #10623223C22semidirect
75. #10623222C22semidirect
76. #10623221C22semidirect
77. #10623219C22semidirect
81. #10623216C22semidirect
82. #10623216C22semidirect
83. #10623212C22semidirect
84. #10623212C22semidirect
85. #10623211C22semidirect
86. #10623206C22semidirect
90. #10623202C22semidirect
91. #10623202C22semidirect
92. #10623202C22semidirect
94. #10623196C22semidirect
95. #10623195C22semidirect
96. #10623191C22semidirect
99. #10623181C22semidirect
100. #10623180C22semidirect
101. #10623179C22semidirect
102. #10623176C22semidirect
103. #10623173C22semidirect
104. #10623172C22semidirect
105. #10623172C22semidirect
106. #10623170C22semidirect
107. #10623169C22semidirect
108. #10623167C22semidirect
109. #10623166C22semidirect
110. #10623159C22semidirect
111. #10623159C22semidirect
117. #10623155C22semidirect
118. #10623153C22semidirect
119. #10623153C22semidirect
122. #10623133C22semidirect
123. #10623131C22semidirect
126. #10623116C22semidirect
127. #10623116C22semidirect
128. #10623115C22semidirect
129. #10623115C22semidirect
130. #10623112C22semidirect
131. #10623111C22semidirect
132. #10623110C22semidirect
133. #10623109C22semidirect
134. #10623109C22semidirect
135. #10623105C22semidirect
144. C4×Q8×D11C22semidirect
145. C4×Q8×D11C22semidirect
146. C4×Q8×D11C22semidirect
147. C4×Q8×D11C22semidirect
148. #10623101C22semidirect
149. #10623100C22semidirect
150. #10623099C22semidirect
151. #10623099C22semidirect
152. #10623099C22semidirect
153. #10623098C22semidirect
154. #10623098C22semidirect
155. #10623095C22semidirect
156. #10623090C22semidirect
157. #10623090C22semidirect
158. #10623088C22semidirect
161. #10623077C22semidirect
162. #10623077C22semidirect
168. #10623074C22semidirect
169. #10623073C22semidirect
170. #10623073C22semidirect
171. #10623072C22semidirect
172. #10623070C22semidirect
173. #10623069C22semidirect
174. #10623064C22semidirect
175. #10623064C22semidirect
176. #10623062C22semidirect
177. #10623060C22semidirect
178. #10623059C22semidirect
179. #10623057C22semidirect
180. #10623054C22semidirect
181. #10623054C22semidirect
185. #10623048C22semidirect
186. #10623046C22semidirect
187. #10623044C22semidirect
188. #10623042C22semidirect
189. #10623035C22semidirect
190. #10623035C22semidirect
194. C2×#66940C22semidirect
195. C2×#66940C22semidirect
196. #10623010C22semidirect
200. #10623001C22semidirect
201. C2×C4×Dic22C22semidirect
202. C2×C4×Dic22C22semidirect
748. #3507D11direct (N × H)
870. #559C2×D11semidirect
879. #557C2×D11semidirect
899. #556C2×D11semidirect
900. #556C2×D11semidirect
909. #554C2×D11semidirect
921. #552C2×D11semidirect
931. #539C2×D11semidirect
940. #536C2×D11semidirect
950. #533C2×D11semidirect
977. #529C2×D11semidirect
1003. #520C2×D11semidirect
1021. C2×C4×Q8C2×D11semidirect
1411. D11#3507direct (N × H)
1614. C11C2×#3507semidirect

Maximal subgroups

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

subgroupindex
#130824832
#130824822
#130824812
#130824802
#130824792
#130824782
#130824772
#130824762
#130824752
#130824742
#130824732
#130824722
#130824712
D11×#5592
D11×#5572
D11×#5562
D11×#5542
D11×#5522
D11×#5392
D11×#5362
D11×#5332
D11×#5322
D11×#5292
D11×#5202
C2×C4×Q8×D112
C11×#35072
C2×#350711