Finite Group Databasebeta

← D11×#3553 #15661534

Subgroups — D11×#3553 #15661534

Order 2816.

6566 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083073C211yesmaximal, characteristic, complemented
2#13083072C211yesmaximal, characteristic, complemented
3#13083071C211yesmaximal, characteristic, complemented
4#13083070C214yesmaximal, complemented
5#13083069C212yesmaximal, complemented
6#13083068C214yesmaximal, complemented
7#13083067C212yesmaximal, complemented
8#13083066C214yesmaximal, complemented
9#13083065C214yesmaximal, complemented
10#13083064C214yesmaximal, complemented
11#13083063C214yesmaximal, complemented
12D11×#564C211yesmaximal, characteristic, complemented
13D11×#563C212yesmaximal, complemented
14D11×#562C211yesmaximal, characteristic, complemented
15D11×#554C214yesmaximal, complemented
16D11×#553C214yesmaximal, complemented
17D11×#552C214yesmaximal, complemented
18D11×#541C214yesmaximal, complemented
19D11×#539C214yesmaximal, complemented
20D11×#539C214yesmaximal, complemented
21D11×#529C212yesmaximal, complemented
22C2×D11×#125C211yesmaximal, characteristic, complemented
23C11×#3553C211yesmaximal, characteristic, complemented
24C11×#564C2211yescharacteristic, complemented
25C11×#563C2212yescomplemented
26C11×#562C2211yescharacteristic, complemented
27C11×#554C2214yescomplemented
28C11×#553C2214yescomplemented
29C11×#552C2214yescomplemented
30C11×#541C2214yescomplemented
31C11×#539C2214yescomplemented
32C11×#539C2214yescomplemented
33C11×#529C2212yescomplemented
34C2×C11×#125C2211yescharacteristic, complemented
35#10623266C2214yescomplemented
36#10623262C2214yescomplemented
37#10623261C2214yescomplemented
38D11×C4⋊Q8C2214yes—
39#10623243C2214yescomplemented
40#10623243C2214yescomplemented
41#10623240C2214yescomplemented
42#10623240C2214yescomplemented
43#10623239C2214yescomplemented
44#10623239C2214yescomplemented
45#10623238C2214yescomplemented
46#10623238C2214yescomplemented
47#10623238C2214yescomplemented
48#10623238C2214yescomplemented
49#10623237C2214yescomplemented
50D11×#126C2214yes—
51D11×#126C2214yes—
52D11×#126C2214yes—
53D11×#126C2214yes—
54D11×#126C2214yes—
55#10623232C2214yescomplemented
56#10623232C2214yescomplemented
57#10623232C2214yescomplemented
58#10623232C2214yescomplemented
59#10623231C2211yescharacteristic, complemented
60#10623230C2212yescomplemented
61#10623230C2212yescomplemented
62#10623228C2214yescomplemented
63#10623227C2214yescomplemented
64#10623227C2214yescomplemented
65#10623227C2214yescomplemented
66#10623227C2214yescomplemented
67#10623226C2214yescomplemented
68#10623225C2214yescomplemented
69#10623224C2214yescomplemented
70#10623224C2214yescomplemented
71#10623223C2214yescomplemented
72#10623223C2214yescomplemented
73#10623223C2214yescomplemented
74#10623223C2214yescomplemented
75#10623222C2212yescomplemented
76#10623221C2214yescomplemented
77#10623221C2214yescomplemented
78D11×#125C2212yes—
79D11×#125C2214yes—
80D11×#125C2214yes—
81D11×#125C2214yes—
82D11×#125C2211yescharacteristic
83D11×#125C2211yescharacteristic
84D11×#125C2212yes—
85D11×#125C2214yes—
86D11×#125C2214yes—
87D11×#125C2214yes—
88D11×#125C2212yescomplemented
89D11×#125C2214yescomplemented
90D11×#125C2211yescharacteristic, complemented
91D11×#125C2211yescharacteristic, complemented
92C11⋊#564C2214yescomplemented
93C11⋊#564C2214yescomplemented
94C11⋊#564C2214yescomplemented
95C11⋊#564C2212yescomplemented
96C11⋊#564C2211yescharacteristic, complemented
97#10623215C2212yescomplemented
98#10623211C2212yescomplemented
99D11×#124C2212yes—
100#10623203C2212yescomplemented
101#10623198C2214yescomplemented
102#10623196C2214yescomplemented
103#10623196C2214yescomplemented
104#10623196C2214yescomplemented
105#10623196C2214yescomplemented
106#10623192C2214yescomplemented
107#10623192C2214yescomplemented
108#10623191C2214yescomplemented
109#10623191C2214yescomplemented
110#10623191C2214yescomplemented
111#10623191C2214yescomplemented
112D11×#123C2214yes—
113D11×#123C2214yes—
114D11×#123C2214yes—
115D11×#123C2214yes—
116D11×#123C2214yes—
117#10623182C2214yescomplemented
118#10623181C2214yescomplemented
119#10623181C2214yescomplemented
120#10623180C2214yescomplemented
121#10623178C2214yescomplemented
122#10623177C2214yescomplemented
123#10623177C2214yescomplemented
124#10623176C2214yescomplemented
125#10623176C2214yescomplemented
126#10623173C2214yescomplemented
127#10623170C2214yescomplemented
128#10623169C2214yescomplemented
129#10623169C2214yescomplemented
130#10623169C2214yescomplemented
131#10623169C2214yescomplemented
132#10623167C2214yescomplemented
133#10623167C2214yescomplemented
134#10623167C2214yescomplemented
135#10623167C2214yescomplemented
136#10623166C2214yescomplemented
137#10623166C2214yescomplemented
138D11×C22⋊Q8C2214yes—
139D11×C22⋊Q8C2214yes—
140D11×C22⋊Q8C2212yes—
141D11×C22⋊Q8C2214yes—
142D11×C22⋊Q8C2214yes—
143D11×C22⋊Q8C2214yes—
144D11×C22⋊Q8C2214yes—
145#10623156C2214yescomplemented
146#10623156C2214yescomplemented
147#10623155C2212yescomplemented
148#10623152C2214yescomplemented
149#10623149C2214yescomplemented
150#10623145C2214yescomplemented
151D11×#121C2212yes—
152D11×#121C2214yes—
153D11×#121C2214yes—
154#10623133C2214yescomplemented
155#10623133C2214yescomplemented
156#10623132C2214yescomplemented
157#10623132C2214yescomplemented
158#10623131C2212yescomplemented
159#10623114C2214yescomplemented
160#10623114C2214yescomplemented
161#10623112C2214yescomplemented
162#10623111C2212yescomplemented
163#10623110C2214yescomplemented
164C4×Q8×D11C2214yes—
165C4×Q8×D11C2212yes—
166#10623096C2214yescomplemented
167#10623095C2214yescomplemented
168#10623095C2214yescomplemented
169#10623095C2214yescomplemented
170#10623095C2214yescomplemented
171#10623089C2214yescomplemented
172#10623088C2212yescomplemented
173C4×D4×D11C2214yes—
174C4×D4×D11C2214yes—
175C4×D4×D11C2212yes—
176C4×D4×D11C2214yes—
177C4×D4×D11C2214yes—
178#10623074C2214yescomplemented
179#10623072C2214yescomplemented
180#10623071C2214yescomplemented
181#10623071C2214yescomplemented
182#10623070C2214yescomplemented
183#10623070C2214yescomplemented
184#10623069C2214yescomplemented
185#10623062C2214yescomplemented
186#10623062C2214yescomplemented
187#10623061C2214yescomplemented
188#10623060C2214yescomplemented
189#10623059C2214yescomplemented
190D11×#117C2214yes—
191D11×#117C2214yes—
192#10623049C2214yescomplemented
193#10623046C2214yescomplemented
194#10623046C2214yescomplemented
195#10623045C2214yescomplemented
196#10623044C2214yescomplemented
197#10623042C2214yescomplemented
198#10623042C2214yescomplemented
199C2×C4⋊C4×D11C2214yes—
200C2×C4⋊C4×D11C2214yes—
201C2×C4⋊C4×D11C2212yes—
202C2×#66943C2212yescomplemented
203C2×#66942C2214yescomplemented
204#10623010C2212yescomplemented
205C2×C42×D11C2211yescharacteristic
206C2×#66923C2211yescharacteristic, complemented
207C2×Q8×D11C2312yes—
208C2×Q8×D11C2314yes—
209C2×D4×D11C2314yes—
210C2×D4×D11C2314yes—
211C2×D4×D11C2312yes—
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2312yes—
214C22×C4×D11C2314yes—
215C22×C4×D11C2314yes—
216C22×C4×D11C2314yes—
217C22×C4×D11C2314yes—
218C11×C4⋊Q8C2314yes—
219C11×#126C2314yes—
220C11×#126C2314yes—
221C11×#126C2314yes—
222C11×#126C2314yes—
223C11×#126C2314yes—
224C11×#125C2314yes—
225C11×#125C2312yes—
226C11×#125C2311yescharacteristic
227C11×#125C2311yescharacteristic
228C11×#125C2312yes—
229C11×#125C2314yes—
230C11×#125C2314yes—
231C11×#125C2314yes—
232C11×#125C2314yes—
233C11×#125C2314yes—
234C11×#124C2312yes—
235C11×#123C2314yes—
236C11×#123C2314yes—
237C11×#123C2314yes—
238C11×#123C2314yes—
239C11×#123C2314yes—
240C11×C22⋊Q8C2312yes—
241C11×C22⋊Q8C2314yes—
242C11×C22⋊Q8C2314yes—
243C11×C22⋊Q8C2314yes—
244C11×C22⋊Q8C2314yes—
245C11×C22⋊Q8C2314yes—
246C11×C22⋊Q8C2314yes—
247C11×#121C2312yes—
248C11×#121C2314yes—
249C11×#121C2314yes—
250C4×Q8×C11C2314yes—
251C4×Q8×C11C2312yes—
252C4×D4×C11C2314yes—
253C4×D4×C11C2314yes—
254C4×D4×C11C2314yes—
255C4×D4×C11C2314yes—
256C4×D4×C11C2312yes—
257C11×#117C2314yes—
258C11×#117C2314yes—
259C2×C11×C4⋊C4C2314yes—
260C2×C11×C4⋊C4C2312yes—
261C2×C11×C4⋊C4C2314yes—
262C2×C42×C11C2311yescharacteristic
263#67000C2312yes—
264#66999C2312yes—
265#66999C2314yes—
266#66999C2314yes—
267#66999C2314yes—
268#66999C2314yes—
269#66999C2314yes—
270#66999C2314yes—
271Q8×Dic11C2312yes—
272Q8×Dic11C2314yes—
273#66997C2314yes—
274#66997C2314yes—
275#66992C2314yes—
276#66992C2314yes—
277#66992C2314yes—
278#66992C2314yes—
279#66992C2314yes—
280#66991C2312yes—
281#66991C2314yes—
282#66991C2314yes—
283#66989C2312yes—
284#66988C2314yes—
285#66988C2314yes—
286#66988C2314yes—
287#66988C2314yes—
288#66988C2314yes—
289D4×Dic11C2314yes—
290D4×Dic11C2314yes—
291D4×Dic11C2314yes—
292D4×Dic11C2312yes—
293D4×Dic11C2314yes—
294#66983C2312yes—
295#66983C2314yes—
296#66983C2314yes—
297#66982C2314yes—
298#66982C2314yes—
299#66982C2314yes—
300#66982C2314yes—
301#66982C2314yes—
302C4×C22⋊D11C2314yes—
303C4×C22⋊D11C2314yes—
304C4×C22⋊D11C2314yes—
305C4×C22⋊D11C2314yes—
306C4×C22⋊D11C2314yes—
307C4×C22⋊D11C2314yes—
308C4×C22⋊D11C2314yes—
309C4×C22⋊D11C2314yes—
310C4×C22⋊D11C2314yes—
311#66979C2314yes—
312#66979C2314yes—
313C2×C4⋊Dic11C2312yes—
314C2×C4⋊Dic11C2314yes—
315C2×C4⋊Dic11C2314yes—
316#66977C2312yes—
317#66977C2314yes—
318#66977C2314yes—
319#66977C2314yes—
320#66977C2314yes—
321#66977C2314yes—
322#66977C2314yes—
323C2×Dic11⋊C4C2314yes—
324C2×Dic11⋊C4C2314yes—
325C2×Dic11⋊C4C2314yes—
326C2×Dic11⋊C4C2314yes—
327C2×Dic11⋊C4C2314yes—
328C2×C4×Dic11C2312yes—
329C2×C4×Dic11C2311yescharacteristic
330#66951C2314yes—
331#66951C2314yes—
332#66951C2314yes—
333#66951C2314yes—
334#66951C2314yes—
335#66951C2314yes—
336#66951C2314yes—
337#66951C2314yes—
338#66951C2314yes—
339#66951C2314yes—
340#66951C2314yes—
341#66951C2314yes—
342#66951C2314yes—
343#66951C2314yes—
344#66951C2314yes—
345#66950C2314yes—
346#66950C2314yes—
347#66950C2314yes—
348#66950C2314yes—
349#66950C2314yes—
350#66950C2312yes—
351#66950C2314yes—
352#66949C2314yes—
353#66949C2314yes—
354#66949C2314yes—
355#66949C2314yes—
356#66949C2314yes—
357#66949C2314yes—
358#66949C2314yes—
359#66949C2314yes—
360#66949C2314yes—
361#66949C2314yes—
362#66949C2314yes—
363#66949C2314yes—
364#66949C2314yes—
365#66948C2312yes—
366#66948C2314yes—
367#66948C2314yes—
368#66947C2314yes—
369#66947C2314yes—
370#66947C2314yes—
371#66947C2314yes—
372#66947C2314yes—
373#66947C2314yes—
374#66947C2314yes—
375#66947C2314yes—
376#66947C2314yes—
377#66947C2314yes—
378#66946C2314yes—
379#66946C2314yes—
380#66946C2314yes—
381#66946C2312yes—
382#66946C2314yes—
383#66945C2314yes—
384#66945C2314yes—
385#66945C2314yes—
386#66945C2314yes—
387C4⋊C4×D11C2314yes—
388C4⋊C4×D11C2314yes—
389C4⋊C4×D11C2312yes—
390C4⋊C4×D11C2312yes—
391C4⋊C4×D11C2314yes—
392C4⋊C4×D11C2314yes—
393C4⋊C4×D11C2314yes—
394C4⋊C4×D11C2314yes—
395C4⋊C4×D11C2314yes—
396C4⋊C4×D11C2314yes—
397C4⋊C4×D11C2314yes—
398C4⋊C4×D11C2314yes—
399C4⋊C4×D11C2312yes—
400C4⋊C4×D11C2314yes—
401C4⋊C4×D11C2314yes—
402C4⋊C4×D11C2314yes—
403C4⋊C4×D11C2314yes—
404C4⋊C4×D11C2314yes—
405C4⋊C4×D11C2314yes—
406C4⋊C4×D11C2314yes—
407C4⋊C4×D11C2314yes—
408C4⋊C4×D11C2314yes—
409C4⋊C4×D11C2314yes—
410C4⋊C4×D11C2314yes—
411C4⋊C4×D11C2314yes—
412C4⋊C4×D11C2312yes—
413C4⋊C4×D11C2312yes—
414C4⋊C4×D11C2312yes—
415C4⋊C4×D11C2314yes—
416C4⋊C4×D11C2314yes—
417#66943C2314yes—
418#66943C2314yes—
419#66943C2314yes—
420#66943C2314yes—
421#66943C2314yes—
422#66943C2314yes—
423#66943C2314yes—
424#66943C2312yes—
425#66943C2312yes—
426#66943C2312yes—
427#66943C2312yes—
428#66943C2312yes—
429#66943C2314yes—
430#66943C2314yes—
431#66943C2314yes—
432#66943C2314yes—
433#66943C2312yes—
434#66943C2314yes—
435#66942C2314yes—
436#66942C2314yes—
437#66942C2314yes—
438#66942C2314yes—
439#66942C2314yes—
440#66942C2314yes—
441#66942C2314yes—
442#66942C2314yes—
443#66942C2314yes—
444#66942C2314yes—
445#66942C2314yes—
446#66942C2314yes—
447#66942C2314yes—
448#66942C2314yes—
449#66942C2314yes—
450#66942C2314yes—
451#66942C2314yes—
452#66942C2314yes—
453#66942C2314yes—
454#66942C2314yes—
455#66942C2314yes—
456#66942C2314yes—
457#66942C2314yes—
458#66942C2314yes—
459#66942C2314yes—
460#66942C2314yes—
461#66942C2314yes—
462#66942C2314yes—
463#66942C2314yes—
464#66942C2314yes—
465#66941C2314yes—
466#66941C2314yes—
467#66941C2314yes—
468#66941C2314yes—
469#66940C2312yes—
470#66940C2314yes—
471#66940C2314yes—
472#66940C2314yes—
473#66940C2314yes—
474#66939C2314yes—
475#66939C2314yes—
476#66939C2314yes—
477#66939C2314yes—
478#66939C2314yes—
479#66938C2314yes—
480#66938C2314yes—
481#66937C2314yes—
482#66937C2314yes—
483#66937C2314yes—
484#66937C2314yes—
485#66937C2314yes—
486#66936C2314yes—
487#66936C2314yes—
488#66936C2314yes—
489#66936C2314yes—
490#66936C2314yes—
491#66936C2314yes—
492#66936C2314yes—
493#66936C2314yes—
494#66936C2314yes—
495#66936C2314yes—
496(C22⋊D11)⋊C4C2314yes—
497(C22⋊D11)⋊C4C2314yes—
498(C22⋊D11)⋊C4C2314yes—
499(C22⋊D11)⋊C4C2314yes—
500(C22⋊D11)⋊C4C2314yes—
501(C22⋊D11)⋊C4C2314yes—
502(C22⋊D11)⋊C4C2314yes—
503(C22⋊D11)⋊C4C2314yes—
504(C22⋊D11)⋊C4C2314yes—
505C22⋊C4×D11C2314yes—
506C22⋊C4×D11C2314yes—
507C22⋊C4×D11C2314yes—
508C22⋊C4×D11C2314yes—
509C22⋊C4×D11C2314yes—
510C22⋊C4×D11C2314yes—
511C22⋊C4×D11C2314yes—
512C22⋊C4×D11C2314yes—
513C22⋊C4×D11C2314yes—
514#66932C2314yes—
515#66932C2314yes—
516#66932C2314yes—
517#66932C2314yes—
518#66932C2314yes—
519#66932C2314yes—
520#66932C2314yes—
521#66932C2314yes—
522#66932C2314yes—
523#66932C2314yes—
524#66932C2314yes—
525#66932C2314yes—
526#66932C2314yes—
527#66932C2314yes—
528#66932C2314yes—
529#66931C2314yes—
530#66931C2314yes—
531#66931C2314yes—
532#66931C2314yes—
533#66931C2314yes—
534#66931C2314yes—
535#66931C2314yes—
536#66931C2314yes—
537#66931C2314yes—
538#66931C2314yes—
539#66931C2314yes—
540#66931C2314yes—
541#66931C2314yes—
542#66930C2314yes—
543#66930C2314yes—
544#66930C2314yes—
545#66930C2314yes—
546#66929C2314yes—
547#66929C2314yes—
548#66929C2314yes—
549#66929C2314yes—
550#66929C2314yes—
551#66928C2312yes—
552C4×D44C2312yes—
553C4×D44C2314yes—
554C4×D44C2314yes—
555C4×D44C2314yes—
556C4×D44C2314yes—
557#66925C2314yes—
558#66925C2314yes—
559#66925C2314yes—
560#66925C2314yes—
561C42×D11C2314yes—
562C42×D11C2312yes—
563C42×D11C2314yes—
564C42×D11C2314yes—
565C42×D11C2312yes—
566C42×D11C2311yescharacteristic
567C42×D11C2311yescharacteristic
568C42×D11C2311yescharacteristic
569C42×D11C2311yescharacteristic
570#66923C2314yes—
571#66923C2314yes—
572#66923C2314yes—
573#66923C2314yes—
574#66923C2314yes—
575#66923C2314yes—
576#66923C2312yes—
577#66923C2311yescharacteristic
578#66923C2311yescharacteristic
579#66923C2312yes—
580#66922C2314yes—
581C4×Dic22C2312yes—
582C4×Dic22C2314yes—
583C4×Dic22C2314yes—
584C4×Dic22C2314yes—
585C4×Dic22C2314yes—
586C2×#3553—111nomaximal, Sylow
587C23×D11C2414yes—
588C23×D11C2411yescharacteristic
589C2×Q8×C11C2412yes—
590C2×Q8×C11C2414yes—
591C2×D4×C11C2414yes—
592C2×D4×C11C2414yes—
593C2×D4×C11C2412yes—
594C22×C4×C11C2411yescharacteristic
595C22×C4×C11C2412yes—
596C22×C4×C11C2414yes—
597C22×C4×C11C2414yes—
598C22×C4×C11C2414yes—
599C22×C4×C11C2414yes—
600C2×C22⋊D11C2414yes—
601C2×C22⋊D11C2414yes—
602C2×C22⋊D11C2414yes—
603C2×C22⋊D11C2414yes—
604C2×C22⋊D11C2414yes—
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2414yes—
607C22×Dic11C2414yes—
608C22×Dic11C2414yes—
609C22×Dic11C2412yes—
610C22×Dic11C2414yes—
611Q8×D11—48no—
612Q8×D11—44no—
613D4×D11—216no—
614D4×D11—48no—
615D4×D11—44no—
616C2×D44C2414yes—
617C2×D44C2412yes—
618C2×D44C2414yes—
619C2×C4×D11—24no—
620C2×C4×D11—44no—
621C2×C4×D11—48no—
622C2×C4×D11—48no—
623C2×C4×D11—48no—
624C2×C4×D11—48no—
625C2×C4×D11C2412yes—
626C2×C4×D11C2414yes—
627C2×C4×D11C2411yescharacteristic
628C2×C4×D11C2411yescharacteristic
629C2×C4×D11C2414yes—
630C2×C4×D11C2412yes—
631C2×C4×D11C2411yescharacteristic
632C2×C4×D11C2411yescharacteristic
633C2×C4×D11C2414yes—
634C2×C4×D11C2414yes—
635C2×C4×D11C2414yes—
636C2×C4×D11C2412yes—
637C2×C4×D11C2412yes—
638C2×C4×D11C2414yes—
639C2×C4×D11C2414yes—
640C2×C4×D11C2414yes—
641C2×C4×D11C2414yes—
642C2×C4×D11C2414yes—
643C2×C4×D11C2414yes—
644C2×C4×D11C2414yes—
645C2×C4×D11C2414yes—
646C2×Dic22C2414yes—
647C2×Dic22C2414yes—
648C2×Dic22C2412yes—
649C2×Dic22C2414yes—
650C2×Dic22C2414yes—
651C11×C4⋊C4C2412yes—
652C11×C4⋊C4C2414yes—
653C11×C4⋊C4C2414yes—
654C11×C4⋊C4C2414yes—
655C11×C4⋊C4C2414yes—
656C11×C4⋊C4C2414yes—
657C11×C4⋊C4C2414yes—
658C11×C4⋊C4C2414yes—
659C11×C4⋊C4C2414yes—
660C11×C4⋊C4C2414yes—
661C11×C4⋊C4C2414yes—
662C11×C4⋊C4C2414yes—
663C11×C4⋊C4C2412yes—
664C11×C4⋊C4C2414yes—
665C11×C4⋊C4C2414yes—
666C11×C4⋊C4C2414yes—
667C11×C4⋊C4C2412yes—
668C11×C4⋊C4C2414yes—
669C11×C4⋊C4C2412yes—
670C11×C22⋊C4C2414yes—
671C11×C22⋊C4C2414yes—
672C11×C22⋊C4C2414yes—
673C11×C22⋊C4C2414yes—
674C11×C22⋊C4C2414yes—
675C11×C22⋊C4C2414yes—
676C11×C22⋊C4C2414yes—
677C11×C22⋊C4C2414yes—
678C11×C22⋊C4C2414yes—
679C42×C11C2414yes—
680C42×C11C2414yes—
681C42×C11C2414yes—
682C42×C11C2412yes—
683C42×C11C2411yescharacteristic
684C42×C11C2411yescharacteristic
685C22⋊Dic11C2414yes—
686C22⋊Dic11C2414yes—
687C22⋊Dic11C2414yes—
688C22⋊Dic11C2414yes—
689C22⋊Dic11C2414yes—
690C22⋊Dic11C2414yes—
691C22⋊Dic11C2414yes—
692C22⋊Dic11C2414yes—
693C22⋊Dic11C2414yes—
694(C2×D11)⋊C4C2414yes—
695(C2×D11)⋊C4C2414yes—
696(C2×D11)⋊C4C2414yes—
697(C2×D11)⋊C4C2414yes—
698(C2×D11)⋊C4C2414yes—
699(C2×D11)⋊C4C2414yes—
700(C2×D11)⋊C4C2414yes—
701(C2×D11)⋊C4C2414yes—
702(C2×D11)⋊C4C2414yes—
703(C2×D11)⋊C4C2414yes—
704(C2×D11)⋊C4C2414yes—
705(C2×D11)⋊C4C2414yes—
706(C2×D11)⋊C4C2414yes—
707(C2×D11)⋊C4C2414yes—
708(C2×D11)⋊C4C2414yes—
709(C2×D11)⋊C4C2414yes—
710(C2×D11)⋊C4C2414yes—
711(C2×D11)⋊C4C2414yes—
712C4⋊Dic11C2414yes—
713C4⋊Dic11C2414yes—
714C4⋊Dic11C2412yes—
715C4⋊Dic11C2414yes—
716C4⋊Dic11C2414yes—
717C4⋊Dic11C2414yes—
718C4⋊Dic11C2414yes—
719C4⋊Dic11C2414yes—
720C4⋊Dic11C2414yes—
721C4⋊Dic11C2414yes—
722C4⋊Dic11C2412yes—
723C4⋊Dic11C2414yes—
724C4⋊Dic11C2412yes—
725C4⋊Dic11C2412yes—
726C4⋊Dic11C2414yes—
727C4⋊Dic11C2414yes—
728C4⋊Dic11C2414yes—
729C4⋊Dic11C2414yes—
730C4⋊Dic11C2414yes—
731Dic11⋊C4C2414yes—
732Dic11⋊C4C2414yes—
733Dic11⋊C4C2414yes—
734Dic11⋊C4C2414yes—
735Dic11⋊C4C2414yes—
736Dic11⋊C4C2414yes—
737Dic11⋊C4C2414yes—
738Dic11⋊C4C2414yes—
739Dic11⋊C4C2414yes—
740Dic11⋊C4C2414yes—
741Dic11⋊C4C2414yes—
742Dic11⋊C4C2414yes—
743Dic11⋊C4C2414yes—
744Dic11⋊C4C2414yes—
745Dic11⋊C4C2414yes—
746Dic11⋊C4C2414yes—
747Dic11⋊C4C2414yes—
748Dic11⋊C4C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765C4×Dic11C2412yes—
766C4×Dic11C2414yes—
767C4×Dic11C2414yes—
768C4×Dic11C2414yes—
769C4×Dic11C2414yes—
770C4×Dic11C2412yes—
771C4×Dic11C2411yescharacteristic
772C4×Dic11C2412yes—
773C4×Dic11C2412yes—
774C4×Dic11C2411yescharacteristic
775C4×Dic11C2412yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3553—111no—
782#3553—112no—
783#3553—111no—
784#3553—114no—
785#3553—114no—
786#3553—114no—
787#3553—114no—
788#3553—114no—
789#3553—114no—
790#3553—112no—
791#3553—111no—
792#3553D1111yescharacteristic, direct product factor
793C2×#564—111no—
794C2×#563—112no—
795C2×#562—111no—
796C2×#554—114no—
797C2×#553—114no—
798C2×#552—114no—
799C2×#541—114no—
800C2×#539—114no—
801C2×#539—114no—
802C2×#529—112no—
803C22×#125—111no—
804C23×C11C2514yes—
805C23×C11C2511yescharacteristic
806C22×D11—24no—
807C22×D11—28no—
808C22×D11—28no—
809C22×D11—28no—
810C22×D112−1+414yes—
811C22×D11C2514yes—
812C22×D11C2511yescharacteristic
813C22×D11C2511yescharacteristic
814Q8×C11—44no—
815Q8×C11—42no—
816D4×C11—28no—
817D4×C11—44no—
818D4×C11—42no—
819C2×C4×C11—22no—
820C2×C4×C11—44no—
821C2×C4×C11—42no—
822C2×C4×C11—44no—
823C2×C4×C11—44no—
824C2×C4×C11—44no—
825C2×C4×C11C2512yes—
826C2×C4×C11C2514yes—
827C2×C4×C11C2512yes—
828C2×C4×C11C2511yescharacteristic
829C2×C4×C11C2511yescharacteristic
830C2×C4×C11C2514yes—
831C2×C4×C11C2514yes—
832C2×C4×C11C2514yes—
833C2×C4×C11C2514yes—
834C22⋊D11—28no—
835C22⋊D11—28no—
836C22⋊D11—44no—
837C22⋊D11—44no—
838C22⋊D11—44no—
839C2×Dic11—22no—
840C2×Dic11—44no—
841C2×Dic11—44no—
842C2×Dic11—44no—
843C2×Dic11—44no—
844C2×Dic11—42no—
845C2×Dic11C2512yes—
846C2×Dic11C2514yes—
847C2×Dic11C2511yescharacteristic
848C2×Dic11C2511yescharacteristic
849C2×Dic11C2512yes—
850C2×Dic11C2514yes—
851C2×Dic11C2514yes—
852C2×Dic11C2514yes—
853C2×Dic11C2514yes—
854D44—28no—
855D44—44no—
856D44—42no—
857C4×D11—22no—
858C4×D11—22no—
859C4×D11—22no—
860C4×D11—22no—
861C4×D11—28no—
862C4×D11—24no—
863C4×D11—28no—
864C4×D11—28no—
865C4×D11—28no—
866C4×D11—24no—
867C4×D11—28no—
868C4×D11—44no—
869C4×D11—44no—
870C4×D11—44no—
871C4×D11—44no—
872C4×D11—44no—
873C4×D11—42no—
874C4×D11—44no—
875C4×D11—42no—
876C4×D11—44no—
877C4×D11—44no—
878Dic22—42no—
879Dic22—44no—
880Dic22—44no—
881Dic22—44no—
882Dic22—44no—
883#564—114no—
884#564—114no—
885#564—114no—
886#564—111no—
887#564—112no—
888#564C2×D1111yescharacteristic, complemented
889#563—114no—
890#563—114no—
891#563—114no—
892#563—112no—
893#563—112no—
894#563—112no—
895#563—114no—
896#563—114no—
897#563—114no—
898#563C2×D1112yescomplemented
899#562—111no—
900#562—112no—
901#562—114no—
902#562—114no—
903#562—114no—
904#562C2×D1111yescharacteristic, complemented
905#554—114no—
906#554—114no—
907#554—114no—
908#554—114no—
909#554—114no—
910#554—114no—
911#554—114no—
912#554—114no—
913#554—114no—
914#554—114no—
915#554—114no—
916#554—114no—
917#554—114no—
918#554—114no—
919#554—114no—
920#554C2×D1114yescomplemented
921#553—114no—
922#553—114no—
923#553—114no—
924#553—114no—
925#553—114no—
926#553—114no—
927#553—114no—
928#553—114no—
929#553—114no—
930#553—114no—
931#553—114no—
932#553—114no—
933#553—114no—
934#553—114no—
935#553—114no—
936#553C2×D1114yescomplemented
937#552—114no—
938#552—114no—
939#552—114no—
940#552—114no—
941#552—114no—
942#552—114no—
943#552—114no—
944#552—114no—
945#552—114no—
946#552—114no—
947#552—114no—
948#552—114no—
949#552—114no—
950#552—114no—
951#552—114no—
952#552C2×D1114yescomplemented
953#541—114no—
954#541—114no—
955#541—114no—
956#541—114no—
957#541—114no—
958#541—114no—
959#541—114no—
960#541—114no—
961#541—114no—
962#541—114no—
963#541—114no—
964#541—114no—
965#541—114no—
966#541—114no—
967#541—114no—
968#541C2×D1114yescomplemented
969#539—114no—
970#539—114no—
971#539—114no—
972#539—114no—
973#539—114no—
974#539—114no—
975#539—114no—
976#539—114no—
977#539—114no—
978#539—114no—
979#539—114no—
980#539—114no—
981#539—114no—
982#539—114no—
983#539—114no—
984#539—114no—
985#539—114no—
986#539—114no—
987#539—114no—
988#539—114no—
989#539—114no—
990#539—114no—
991#539—114no—
992#539—114no—
993#539—114no—
994#539—114no—
995#539—114no—
996#539—114no—
997#539—114no—
998#539—114no—
999#539C2×D1114yescomplemented
1000#539C2×D1114yescomplemented
1001C2×C4⋊Q8—114no—
1002#529—114no—
1003#529—112no—
1004#529—112no—
1005#529—114no—
1006#529—112no—
1007#529—112no—
1008#529—112no—
1009#529—114no—
1010#529—112no—
1011#529—114no—
1012#529—112no—
1013#529C2×D1112yescomplemented
1014C2×#126—114no—
1015C2×#126—114no—
1016C2×#126—114no—
1017C2×#126—114no—
1018C2×#126—114no—
1019C2×#125—114no—
1020C2×#125—112no—
1021C2×#125—111no—
1022C2×#125—111no—
1023C2×#125—111no—
1024C2×#125—111no—
1025C2×#125—112no—
1026C2×#125—114no—
1027C2×#125—112no—
1028C2×#125—114no—
1029C2×#125—114no—
1030C2×#125—114no—
1031C2×#125—114no—
1032C2×#125—114no—
1033C2×#125—114no—
1034C2×#125—112no—
1035C2×#125—111no—
1036C2×#125C2×D1111yescharacteristic, complemented
1037C2×#124—112no—
1038C2×#123—114no—
1039C2×#123—114no—
1040C2×#123—114no—
1041C2×#123—114no—
1042C2×#123—114no—
1043C2×C22⋊Q8—112no—
1044C2×C22⋊Q8—114no—
1045C2×C22⋊Q8—114no—
1046C2×C22⋊Q8—114no—
1047C2×C22⋊Q8—114no—
1048C2×C22⋊Q8—114no—
1049C2×C22⋊Q8—114no—
1050C2×#121—112no—
1051C2×#121—114no—
1052C2×#121—114no—
1053C2×C4×Q8—112no—
1054C2×C4×Q8—114no—
1055C2×C4×D4—112no—
1056C2×C4×D4—114no—
1057C2×C4×D4—114no—
1058C2×C4×D4—114no—
1059C2×C4×D4—114no—
1060C2×#117—114no—
1061C2×#117—114no—
1062C22×C4⋊C4—112no—
1063C22×C4⋊C4—114no—
1064C22×C4⋊C4—114no—
1065C22×C42—111no—
1066C22×C11—22no—
1067C22×C11—24no—
1068C22×C11—24no—
1069C22×C11—24no—
1070C22×C11C2×2−1+412yes—
1071C22×C11C2611yescharacteristic
1072C2×D11—22no—
1073C2×D11—28no—
1074C2×D11—24no—
1075C2×D11—24no—
1076C2×D11—24no—
1077C2×D11—416no—
1078C2×D11C2×2−1+412yes—
1079C2×D11C2×2−1+412yes—
1080C2×D11#58514yes—
1081C4×C11—21no—
1082C4×C11—21no—
1083C4×C11—24no—
1084C4×C11—22no—
1085C4×C11—24no—
1086C4×C11—24no—
1087C4×C11—24no—
1088C4×C11—22no—
1089C4×C11—24no—
1090Dic11—21no—
1091Dic11—21no—
1092Dic11—24no—
1093Dic11—24no—
1094Dic11—24no—
1095Dic11—24no—
1096Dic11—22no—
1097Dic11—22no—
1098Dic11—24no—
1099C22×Q8—114no—
1100C22×Q8—112no—
1101C22×D4—114no—
1102C22×D4—114no—
1103C22×D4—112no—
1104C23×C4—111no—
1105C23×C4—114no—
1106C23×C4—112no—
1107C23×C4—114no—
1108C23×C4—114no—
1109C23×C4—114no—
1110C4⋊Q8—114no—
1111C4⋊Q8—114no—
1112C4⋊Q8—114no—
1113C4⋊Q8—114no—
1114C4⋊Q8—114no—
1115C4⋊Q8—114no—
1116C4⋊Q8—114no—
1117C4⋊Q8C22×D1114yes—
1118#126—114no—
1119#126—114no—
1120#126—114no—
1121#126—114no—
1122#126—114no—
1123#126—114no—
1124#126—114no—
1125#126—114no—
1126#126—114no—
1127#126—114no—
1128#126—114no—
1129#126—114no—
1130#126—114no—
1131#126—114no—
1132#126—114no—
1133#126—114no—
1134#126—114no—
1135#126—114no—
1136#126—114no—
1137#126—114no—
1138#126—114no—
1139#126—114no—
1140#126—114no—
1141#126—114no—
1142#126—114no—
1143#126—114no—
1144#126—114no—
1145#126—114no—
1146#126—114no—
1147#126—114no—
1148#126—114no—
1149#126—114no—
1150#126—114no—
1151#126—114no—
1152#126—114no—
1153#126C22×D1114yes—
1154#126C22×D1114yes—
1155#126C22×D1114yes—
1156#126C22×D1114yes—
1157#126C22×D1114yes—
1158#125—114no—
1159#125—114no—
1160#125—114no—
1161#125—114no—
1162#125—114no—
1163#125—114no—
1164#125—114no—
1165#125—114no—
1166#125—112no—
1167#125—112no—
1168#125—114no—
1169#125—112no—
1170#125—114no—
1171#125—112no—
1172#125—114no—
1173#125—114no—
1174#125—112no—
1175#125—112no—
1176#125—114no—
1177#125—114no—
1178#125—114no—
1179#125—114no—
1180#125—114no—
1181#125—114no—
1182#125—114no—
1183#125—114no—
1184#125—114no—
1185#125—114no—
1186#125—114no—
1187#125—114no—
1188#125—114no—
1189#125—114no—
1190#125—114no—
1191#125—114no—
1192#125—114no—
1193#125—114no—
1194#125—114no—
1195#125—114no—
1196#125—114no—
1197#125—114no—
1198#125—114no—
1199#125—114no—
1200#125—114no—
1201#125—114no—
1202#125—114no—
1203#125—114no—
1204#125—114no—
1205#125—114no—
1206#125—114no—
1207#125—112no—
1208#125—111no—
1209#125—111no—
1210#125—112no—
1211#125—114no—
1212#125—114no—
1213#125—114no—
1214#125—114no—
1215#125—114no—
1216#125C22×D1114yes—
1217#125C22×D1112yes—
1218#125C22×D1111yescharacteristic
1219#125C22×D1111yescharacteristic
1220#125C22×D1112yes—
1221#125C22×D1114yes—
1222#125C22×D1114yes—
1223#125C22×D1114yes—
1224#125C22×D1114yes—
1225#125C22×D1114yes—
1226#124—112no—
1227#124—112no—
1228#124—114no—
1229#124—114no—
1230#124—112no—
1231#124C22×D1112yes—
1232#123—114no—
1233#123—114no—
1234#123—114no—
1235#123—114no—
1236#123—114no—
1237#123—114no—
1238#123—114no—
1239#123—114no—
1240#123—114no—
1241#123—114no—
1242#123—114no—
1243#123—114no—
1244#123—114no—
1245#123—114no—
1246#123—114no—
1247#123—114no—
1248#123—114no—
1249#123—114no—
1250#123—114no—
1251#123—114no—
1252#123—114no—
1253#123—114no—
1254#123—114no—
1255#123—114no—
1256#123—114no—
1257#123—114no—
1258#123—114no—
1259#123—114no—
1260#123—114no—
1261#123—114no—
1262#123—114no—
1263#123—114no—
1264#123—114no—
1265#123—114no—
1266#123—114no—
1267#123C22×D1114yes—
1268#123C22×D1114yes—
1269#123C22×D1114yes—
1270#123C22×D1114yes—
1271#123C22×D1114yes—
1272C22⋊Q8—112no—
1273C22⋊Q8—114no—
1274C22⋊Q8—114no—
1275C22⋊Q8—114no—
1276C22⋊Q8—114no—
1277C22⋊Q8—114no—
1278C22⋊Q8—114no—
1279C22⋊Q8—112no—
1280C22⋊Q8—114no—
1281C22⋊Q8—114no—
1282C22⋊Q8—114no—
1283C22⋊Q8—114no—
1284C22⋊Q8—114no—
1285C22⋊Q8—114no—
1286C22⋊Q8—114no—
1287C22⋊Q8—112no—
1288C22⋊Q8—114no—
1289C22⋊Q8—114no—
1290C22⋊Q8—114no—
1291C22⋊Q8—114no—
1292C22⋊Q8—114no—
1293C22⋊Q8—114no—
1294C22⋊Q8—114no—
1295C22⋊Q8—114no—
1296C22⋊Q8—114no—
1297C22⋊Q8—114no—
1298C22⋊Q8—114no—
1299C22⋊Q8—114no—
1300C22⋊Q8—114no—
1301C22⋊Q8—114no—
1302C22⋊Q8—114no—
1303C22⋊Q8—114no—
1304C22⋊Q8—114no—
1305C22⋊Q8—114no—
1306C22⋊Q8—114no—
1307C22⋊Q8—114no—
1308C22⋊Q8—114no—
1309C22⋊Q8—114no—
1310C22⋊Q8—114no—
1311C22⋊Q8—114no—
1312C22⋊Q8—114no—
1313C22⋊Q8—114no—
1314C22⋊Q8—114no—
1315C22⋊Q8—114no—
1316C22⋊Q8—114no—
1317C22⋊Q8—114no—
1318C22⋊Q8—114no—
1319C22⋊Q8C22×D1112yes—
1320C22⋊Q8C22×D1114yes—
1321C22⋊Q8C22×D1114yes—
1322C22⋊Q8C22×D1114yes—
1323C22⋊Q8C22×D1114yes—
1324C22⋊Q8C22×D1114yes—
1325C22⋊Q8C22×D1114yes—
1326#121—112no—
1327#121—114no—
1328#121—114no—
1329#121—114no—
1330#121—114no—
1331#121—114no—
1332#121—114no—
1333#121—114no—
1334#121—112no—
1335#121—114no—
1336#121—114no—
1337#121—112no—
1338#121—114no—
1339#121—114no—
1340#121—114no—
1341#121—114no—
1342#121—114no—
1343#121—114no—
1344#121—114no—
1345#121C22×D1112yes—
1346#121C22×D1114yes—
1347#121C22×D1114yes—
1348C4×Q8—112no—
1349C4×Q8—114no—
1350C4×Q8—114no—
1351C4×Q8—112no—
1352C4×Q8—114no—
1353C4×Q8—114no—
1354C4×Q8—114no—
1355C4×Q8—114no—
1356C4×Q8—112no—
1357C4×Q8—114no—
1358C4×Q8—114no—
1359C4×Q8—114no—
1360C4×Q8C22×D1112yes—
1361C4×Q8C22×D1114yes—
1362C4×D4—112no—
1363C4×D4—114no—
1364C4×D4—114no—
1365C4×D4—114no—
1366C4×D4—114no—
1367C4×D4—114no—
1368C4×D4—114no—
1369C4×D4—114no—
1370C4×D4—114no—
1371C4×D4—114no—
1372C4×D4—114no—
1373C4×D4—114no—
1374C4×D4—114no—
1375C4×D4—114no—
1376C4×D4—112no—
1377C4×D4—114no—
1378C4×D4—114no—
1379C4×D4—114no—
1380C4×D4—114no—
1381C4×D4—114no—
1382C4×D4—114no—
1383C4×D4—114no—
1384C4×D4—114no—
1385C4×D4—114no—
1386C4×D4—114no—
1387C4×D4—114no—
1388C4×D4—114no—
1389C4×D4—114no—
1390C4×D4—112no—
1391C4×D4—114no—
1392C4×D4—114no—
1393C4×D4—114no—
1394C4×D4—114no—
1395C4×D4C22×D1112yes—
1396C4×D4C22×D1114yes—
1397C4×D4C22×D1114yes—
1398C4×D4C22×D1114yes—
1399C4×D4C22×D1114yes—
1400#117—114no—
1401#117—114no—
1402#117—114no—
1403#117—114no—
1404#117—114no—
1405#117—114no—
1406#117—114no—
1407#117—114no—
1408#117—114no—
1409#117—114no—
1410#117—114no—
1411#117—114no—
1412#117—114no—
1413#117—114no—
1414#117C22×D1114yes—
1415#117C22×D1114yes—
1416C2×C4⋊C4—114no—
1417C2×C4⋊C4—112no—
1418C2×C4⋊C4—114no—
1419C2×C4⋊C4—114no—
1420C2×C4⋊C4—114no—
1421C2×C4⋊C4—114no—
1422C2×C4⋊C4—114no—
1423C2×C4⋊C4—114no—
1424C2×C4⋊C4—114no—
1425C2×C4⋊C4—114no—
1426C2×C4⋊C4—114no—
1427C2×C4⋊C4—114no—
1428C2×C4⋊C4—114no—
1429C2×C4⋊C4—112no—
1430C2×C4⋊C4—114no—
1431C2×C4⋊C4—114no—
1432C2×C4⋊C4—114no—
1433C2×C4⋊C4—112no—
1434C2×C4⋊C4—114no—
1435C2×C4⋊C4—112no—
1436C2×C4⋊C4—112no—
1437C2×C4⋊C4—114no—
1438C2×C4⋊C4—114no—
1439C2×C4⋊C4—114no—
1440C2×C4⋊C4—114no—
1441C2×C4⋊C4—114no—
1442C2×C4⋊C4—114no—
1443C2×C4⋊C4—114no—
1444C2×C4⋊C4—114no—
1445C2×C4⋊C4—114no—
1446C2×C4⋊C4—114no—
1447C2×C4⋊C4—112no—
1448C2×C4⋊C4—114no—
1449C2×C4⋊C4—114no—
1450C2×C4⋊C4—114no—
1451C2×C4⋊C4—112no—
1452C2×C4⋊C4—114no—
1453C2×C4⋊C4—114no—
1454C2×C4⋊C4C22×D1112yes—
1455C2×C4⋊C4C22×D1114yes—
1456C2×C4⋊C4C22×D1114yes—
1457C2×C22⋊C4—114no—
1458C2×C22⋊C4—114no—
1459C2×C22⋊C4—114no—
1460C2×C22⋊C4—114no—
1461C2×C22⋊C4—114no—
1462C2×C22⋊C4—114no—
1463C2×C22⋊C4—114no—
1464C2×C22⋊C4—114no—
1465C2×C22⋊C4—114no—
1466C2×C42—112no—
1467C2×C42—111no—
1468C2×C42—111no—
1469C2×C42—114no—
1470C2×C42—114no—
1471C2×C42—114no—
1472C2×C42—112no—
1473C2×C42—111no—
1474C2×C42—111no—
1475C2×C42—112no—
1476C2×C42—111no—
1477C2×C42C22×D1111yescharacteristic
1478C2×C11—22no—
1479C2×C11—44no—
1480C2×C11C22×2−1+411yescharacteristic
1481C2×C11C2×#58512yes—
1482D11—22no—
1483D11—44no—
1484D11#355314yesdirect product factor
1485C24—111no—
1486C24—114no—
1487C2×Q8—114no—
1488C2×Q8—114no—
1489C2×Q8—114no—
1490C2×Q8—112no—
1491C2×Q8—114no—
1492C2×Q8—448no—
1493C2×Q8—444no—
1494C2×Q8C23×D1114yes—
1495C2×Q8C23×D1112yes—
1496C2×D4—114no—
1497C2×D4—114no—
1498C2×D4—114no—
1499C2×D4—114no—
1500C2×D4—114no—
1501C2×D4—114no—
1502C2×D4—114no—
1503C2×D4—112no—
1504C2×D4—2216no—
1505C2×D4—448no—
1506C2×D4—444no—
1507C2×D4C23×D1114yes—
1508C2×D4C23×D1114yes—
1509C2×D4C23×D1112yes—
1510C22×C4—111no—
1511C22×C4—112no—
1512C22×C4—114no—
1513C22×C4—114no—
1514C22×C4—114no—
1515C22×C4—114no—
1516C22×C4—112no—
1517C22×C4—114no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—114no—
1521C22×C4—112no—
1522C22×C4—111no—
1523C22×C4—111no—
1524C22×C4—114no—
1525C22×C4—114no—
1526C22×C4—114no—
1527C22×C4—112no—
1528C22×C4—112no—
1529C22×C4—114no—
1530C22×C4—114no—
1531C22×C4—114no—
1532C22×C4—114no—
1533C22×C4—114no—
1534C22×C4—114no—
1535C22×C4—114no—
1536C22×C4—114no—
1537C22×C4—224no—
1538C22×C4—448no—
1539C22×C4—444no—
1540C22×C4—448no—
1541C22×C4—448no—
1542C22×C4—448no—
1543C22×C4C23×D1111yescharacteristic
1544C22×C4C23×D1112yes—
1545C22×C4C23×D1114yes—
1546C22×C4C23×D1114yes—
1547C22×C4C23×D1114yes—
1548C22×C4C23×D1114yes—
1549C4⋊C4—114no—
1550C4⋊C4—114no—
1551C4⋊C4—114no—
1552C4⋊C4—114no—
1553C4⋊C4—114no—
1554C4⋊C4—114no—
1555C4⋊C4—114no—
1556C4⋊C4—114no—
1557C4⋊C4—114no—
1558C4⋊C4—114no—
1559C4⋊C4—114no—
1560C4⋊C4—114no—
1561C4⋊C4—114no—
1562C4⋊C4—114no—
1563C4⋊C4—114no—
1564C4⋊C4—114no—
1565C4⋊C4—112no—
1566C4⋊C4—114no—
1567C4⋊C4—114no—
1568C4⋊C4—114no—
1569C4⋊C4—114no—
1570C4⋊C4—114no—
1571C4⋊C4—114no—
1572C4⋊C4—114no—
1573C4⋊C4—114no—
1574C4⋊C4—114no—
1575C4⋊C4—114no—
1576C4⋊C4—112no—
1577C4⋊C4—114no—
1578C4⋊C4—114no—
1579C4⋊C4—114no—
1580C4⋊C4—114no—
1581C4⋊C4—114no—
1582C4⋊C4—114no—
1583C4⋊C4—114no—
1584C4⋊C4—112no—
1585C4⋊C4—114no—
1586C4⋊C4—114no—
1587C4⋊C4—114no—
1588C4⋊C4—114no—
1589C4⋊C4—114no—
1590C4⋊C4—114no—
1591C4⋊C4—114no—
1592C4⋊C4—114no—
1593C4⋊C4—114no—
1594C4⋊C4—114no—
1595C4⋊C4—112no—
1596C4⋊C4—114no—
1597C4⋊C4—114no—
1598C4⋊C4—114no—
1599C4⋊C4—114no—
1600C4⋊C4—114no—
1601C4⋊C4—114no—
1602C4⋊C4C23×D1114yes—
1603C4⋊C4C23×D1114yes—
1604C4⋊C4C23×D1114yes—
1605C4⋊C4C23×D1114yes—
1606C4⋊C4C23×D1114yes—
1607C4⋊C4C23×D1112yes—
1608C4⋊C4C23×D1114yes—
1609C4⋊C4C23×D1114yes—
1610C4⋊C4C23×D1114yes—
1611C4⋊C4C23×D1112yes—
1612C4⋊C4C23×D1114yes—
1613C4⋊C4C23×D1114yes—
1614C4⋊C4C23×D1112yes—
1615C4⋊C4C23×D1114yes—
1616C4⋊C4C23×D1114yes—
1617C4⋊C4C23×D1114yes—
1618C4⋊C4C23×D1112yes—
1619C4⋊C4C23×D1114yes—
1620C4⋊C4C23×D1114yes—
1621C22⋊C4—114no—
1622C22⋊C4—114no—
1623C22⋊C4—114no—
1624C22⋊C4—114no—
1625C22⋊C4—114no—
1626C22⋊C4—114no—
1627C22⋊C4—114no—
1628C22⋊C4—114no—
1629C22⋊C4—114no—
1630C22⋊C4—114no—
1631C22⋊C4—114no—
1632C22⋊C4—114no—
1633C22⋊C4—114no—
1634C22⋊C4—114no—
1635C22⋊C4—114no—
1636C22⋊C4—114no—
1637C22⋊C4—114no—
1638C22⋊C4—114no—
1639C22⋊C4—114no—
1640C22⋊C4—114no—
1641C22⋊C4—114no—
1642C22⋊C4—114no—
1643C22⋊C4—114no—
1644C22⋊C4—114no—
1645C22⋊C4—114no—
1646C22⋊C4—114no—
1647C22⋊C4—114no—
1648C22⋊C4C23×D1114yes—
1649C22⋊C4C23×D1114yes—
1650C22⋊C4C23×D1114yes—
1651C22⋊C4C23×D1114yes—
1652C22⋊C4C23×D1114yes—
1653C22⋊C4C23×D1114yes—
1654C22⋊C4C23×D1114yes—
1655C22⋊C4C23×D1114yes—
1656C22⋊C4C23×D1114yes—
1657C42—111no—
1658C42—112no—
1659C42—112no—
1660C42—112no—
1661C42—112no—
1662C42—112no—
1663C42—111no—
1664C42—114no—
1665C42—114no—
1666C42—114no—
1667C42—114no—
1668C42—114no—
1669C42—114no—
1670C42—114no—
1671C42—114no—
1672C42—114no—
1673C42C23×D1111yescharacteristic
1674C42C23×D1112yes—
1675C42C23×D1111yescharacteristic
1676C42C23×D1114yes—
1677C42C23×D1114yes—
1678C42C23×D1114yes—
1679C11C2×#355311yescharacteristic, complemented, Sylow
1680C23—111no—
1681C23—114no—
1682C23—111no—
1683C23—114no—
1684C23—224no—
1685C23—228no—
1686C23—228no—
1687C23—228no—
1688C23C24×D1114yes—
1689C23C24×D1111yescharacteristic
1690Q8—44no—
1691Q8—42no—
1692Q8—444no—
1693Q8—444no—
1694Q8—442no—
1695Q8—444no—
1696Q8—444no—
1697D4—28no—
1698D4—44no—
1699D4—42no—
1700D4—228no—
1701D4—228no—
1702D4—228no—
1703D4—444no—
1704D4—442no—
1705D4—444no—
1706D4—444no—
1707D4—444no—
1708C2×C4—22no—
1709C2×C4—44no—
1710C2×C4—42no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—112no—
1715C2×C4—114no—
1716C2×C4—111no—
1717C2×C4—111no—
1718C2×C4—114no—
1719C2×C4—112no—
1720C2×C4—114no—
1721C2×C4—114no—
1722C2×C4—114no—
1723C2×C4—222no—
1724C2×C4—222no—
1725C2×C4—222no—
1726C2×C4—222no—
1727C2×C4—224no—
1728C2×C4—228no—
1729C2×C4—228no—
1730C2×C4—228no—
1731C2×C4—224no—
1732C2×C4—228no—
1733C2×C4—228no—
1734C2×C4—222no—
1735C2×C4—444no—
1736C2×C4—442no—
1737C2×C4—444no—
1738C2×C4—444no—
1739C2×C4—444no—
1740C2×C4—444no—
1741C2×C4—444no—
1742C2×C4—444no—
1743C2×C4—442no—
1744C2×C4—444no—
1745C2×C4—444no—
1746C2×C4—442no—
1747C2×C4—444no—
1748C2×C4—444no—
1749C2×C4—444no—
1750C2×C4C24×D1112yes—
1751C2×C4C24×D1114yes—
1752C2×C4C24×D1111yescharacteristic
1753C2×C4C24×D1111yescharacteristic
1754C2×C4C24×D1114yes—
1755C2×C4C24×D1112yes—
1756C2×C4C24×D1114yes—
1757C2×C4C24×D1114yes—
1758C2×C4C24×D1114yes—
1759C22—22no—
1760C22—24no—
1761C22—24no—
1762C22—24no—
1763C22—112no—
1764C22—114no—
1765C22—112no—
1766C22—228no—
1767C22—222no—
1768C22—224no—
1769C22—224no—
1770C22—224no—
1771C22—4416no—
1772C22D11×2−1+412yes—
1773C22C25×D1111yescharacteristic
1774C4—21no—
1775C4—21no—
1776C4—24no—
1777C4—22no—
1778C4—24no—
1779C4—24no—
1780C4—24no—
1781C4—22no—
1782C4—24no—
1783C4—221no—
1784C4—221no—
1785C4—224no—
1786C4—222no—
1787C4—224no—
1788C4—224no—
1789C4—224no—
1790C4—222no—
1791C4—224no—
1792C2—22no—
1793C2—44no—
1794C2—114no—
1795C2—222no—
1796C2—444no—
1797C2C2×D11×2−1+411yescharacteristic
1798C2D11×#58512yes—
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3553C2
hypercenter#3553D11
hypocenterC11C2×#3553
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #13083073C2semidirect
2. #13083072C2semidirect
3. #13083071C2semidirect
4. #13083070C2semidirect
5. #13083069C2semidirect
6. #13083068C2semidirect
7. #13083067C2semidirect
8. #13083066C2semidirect
9. #13083065C2semidirect
10. #13083064C2semidirect
11. #13083063C2semidirect
12. D11×#564C2semidirect
13. D11×#563C2semidirect
14. D11×#562C2semidirect
15. D11×#554C2semidirect
16. D11×#553C2semidirect
17. D11×#552C2semidirect
18. D11×#541C2semidirect
19. D11×#539C2semidirect
20. D11×#539C2semidirect
21. D11×#529C2semidirect
22. C2×D11×#125C2semidirect
23. C11×#3553C2semidirect
24. C11×#564C22semidirect
25. C11×#563C22semidirect
26. C11×#562C22semidirect
27. C11×#554C22semidirect
28. C11×#553C22semidirect
29. C11×#552C22semidirect
30. C11×#541C22semidirect
31. C11×#539C22semidirect
32. C11×#539C22semidirect
33. C11×#529C22semidirect
34. C2×C11×#125C22semidirect
35. #10623266C22semidirect
36. #10623262C22semidirect
37. #10623261C22semidirect
39. #10623243C22semidirect
40. #10623243C22semidirect
41. #10623240C22semidirect
42. #10623240C22semidirect
43. #10623239C22semidirect
44. #10623239C22semidirect
45. #10623238C22semidirect
46. #10623238C22semidirect
47. #10623238C22semidirect
48. #10623238C22semidirect
49. #10623237C22semidirect
55. #10623232C22semidirect
56. #10623232C22semidirect
57. #10623232C22semidirect
58. #10623232C22semidirect
59. #10623231C22semidirect
60. #10623230C22semidirect
61. #10623230C22semidirect
62. #10623228C22semidirect
63. #10623227C22semidirect
64. #10623227C22semidirect
65. #10623227C22semidirect
66. #10623227C22semidirect
67. #10623226C22semidirect
68. #10623225C22semidirect
69. #10623224C22semidirect
70. #10623224C22semidirect
71. #10623223C22semidirect
72. #10623223C22semidirect
73. #10623223C22semidirect
74. #10623223C22semidirect
75. #10623222C22semidirect
76. #10623221C22semidirect
77. #10623221C22semidirect
88. D11×#125C22semidirect
89. D11×#125C22semidirect
90. D11×#125C22semidirect
91. D11×#125C22semidirect
92. C11⋊#564C22semidirect
93. C11⋊#564C22semidirect
94. C11⋊#564C22semidirect
95. C11⋊#564C22semidirect
96. C11⋊#564C22semidirect
97. #10623215C22semidirect
98. #10623211C22semidirect
100. #10623203C22semidirect
101. #10623198C22semidirect
102. #10623196C22semidirect
103. #10623196C22semidirect
104. #10623196C22semidirect
105. #10623196C22semidirect
106. #10623192C22semidirect
107. #10623192C22semidirect
108. #10623191C22semidirect
109. #10623191C22semidirect
110. #10623191C22semidirect
111. #10623191C22semidirect
117. #10623182C22semidirect
118. #10623181C22semidirect
119. #10623181C22semidirect
120. #10623180C22semidirect
121. #10623178C22semidirect
122. #10623177C22semidirect
123. #10623177C22semidirect
124. #10623176C22semidirect
125. #10623176C22semidirect
126. #10623173C22semidirect
127. #10623170C22semidirect
128. #10623169C22semidirect
129. #10623169C22semidirect
130. #10623169C22semidirect
131. #10623169C22semidirect
132. #10623167C22semidirect
133. #10623167C22semidirect
134. #10623167C22semidirect
135. #10623167C22semidirect
136. #10623166C22semidirect
137. #10623166C22semidirect
145. #10623156C22semidirect
146. #10623156C22semidirect
147. #10623155C22semidirect
148. #10623152C22semidirect
149. #10623149C22semidirect
150. #10623145C22semidirect
154. #10623133C22semidirect
155. #10623133C22semidirect
156. #10623132C22semidirect
157. #10623132C22semidirect
158. #10623131C22semidirect
159. #10623114C22semidirect
160. #10623114C22semidirect
161. #10623112C22semidirect
162. #10623111C22semidirect
163. #10623110C22semidirect
166. #10623096C22semidirect
167. #10623095C22semidirect
168. #10623095C22semidirect
169. #10623095C22semidirect
170. #10623095C22semidirect
171. #10623089C22semidirect
172. #10623088C22semidirect
178. #10623074C22semidirect
179. #10623072C22semidirect
180. #10623071C22semidirect
181. #10623071C22semidirect
182. #10623070C22semidirect
183. #10623070C22semidirect
184. #10623069C22semidirect
185. #10623062C22semidirect
186. #10623062C22semidirect
187. #10623061C22semidirect
188. #10623060C22semidirect
189. #10623059C22semidirect
192. #10623049C22semidirect
193. #10623046C22semidirect
194. #10623046C22semidirect
195. #10623045C22semidirect
196. #10623044C22semidirect
197. #10623042C22semidirect
198. #10623042C22semidirect
202. C2×#66943C22semidirect
203. C2×#66942C22semidirect
204. #10623010C22semidirect
206. C2×#66923C22semidirect
792. #3553D11direct (N × H)
888. #564C2×D11semidirect
898. #563C2×D11semidirect
904. #562C2×D11semidirect
920. #554C2×D11semidirect
936. #553C2×D11semidirect
952. #552C2×D11semidirect
968. #541C2×D11semidirect
999. #539C2×D11semidirect
1000. #539C2×D11semidirect
1013. #529C2×D11semidirect
1036. C2×#125C2×D11semidirect
1484. D11#3553direct (N × H)
1679. C11C2×#3553semidirect

Maximal subgroups

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

subgroupindex
#130830732
#130830722
#130830712
#130830702
#130830692
#130830682
#130830672
#130830662
#130830652
#130830642
#130830632
D11×#5642
D11×#5632
D11×#5622
D11×#5542
D11×#5532
D11×#5522
D11×#5412
D11×#5392
D11×#5292
C2×D11×#1252
C11×#35532
C2×#355311