Finite Group Databasebeta

← #15661561

Subgroups — #15661561

Order 2816.

6644 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083297C214yesmaximal, complemented
2#13083281C214yesmaximal, complemented
3#13083231C214yesmaximal, complemented
4#13083159C214yesmaximal, complemented
5#13083073C212yesmaximal, complemented
6#13083067C212yesmaximal, complemented
7#13082974C212yesmaximal, complemented
8#13082966C212yesmaximal, complemented
9#13082827C214yesmaximal, complemented
10#13082808C214yesmaximal, complemented
11#13082763C211yesmaximal, characteristic, complemented
12#13082755C212yesmaximal, complemented
13#13082222C214yesmaximal, complemented
14#13082183C214yesmaximal, complemented
15#13082172C214yesmaximal, complemented
16#13082047C214yesmaximal, complemented
17#13082026C214yesmaximal, complemented
18#13081999C214yesmaximal, complemented
19#13081913C211yesmaximal, characteristic, complemented
20D11×#529C212yesmaximal, complemented
21C11×#3531C211yesmaximal, characteristic, complemented
22C11×#564C2211yescharacteristic, complemented
23C11×#563C2214yescomplemented
24C11×#563C2212yescomplemented
25C11×#563C2214yescomplemented
26C11×#562C2211yescharacteristic, complemented
27C11×#562C2214yescomplemented
28C11×#533C2211yescharacteristic, complemented
29C11×#533C2214yescomplemented
30C11×#529C2212yescomplemented
31C11×#529C2214yescomplemented
32C11×#529C2214yescomplemented
33#10623266C2214yescomplemented
34#10623265C2214yescomplemented
35#10623264C2214yescomplemented
36#10623263C2214yescomplemented
37#10623262C2214yescomplemented
38#10623261C2214yescomplemented
39#10623260C2214yescomplemented
40#10623259C2212yescomplemented
41#10623257C2214yescomplemented
42#10623256C2212yescomplemented
43#10623255C2214yescomplemented
44#10623243C2214yescomplemented
45#10623242C2214yescomplemented
46#10623241C2214yescomplemented
47#10623240C2214yescomplemented
48#10623240C2214yescomplemented
49#10623239C2214yescomplemented
50#10623239C2214yescomplemented
51#10623238C2214yescomplemented
52#10623238C2214yescomplemented
53#10623238C2214yescomplemented
54#10623237C2214yescomplemented
55#10623236C2214yescomplemented
56#10623236C2214yescomplemented
57#10623236C2214yescomplemented
58#10623236C2214yescomplemented
59#10623235C2214yescomplemented
60#10623235C2214yescomplemented
61#10623235C2214yescomplemented
62D11×#126C2214yescomplemented
63#10623232C2214yescomplemented
64#10623231C2211yescharacteristic, complemented
65#10623231C2212yescomplemented
66#10623230C2212yescomplemented
67#10623230C2212yescomplemented
68#10623227C2214yescomplemented
69#10623227C2214yescomplemented
70#10623227C2214yescomplemented
71#10623226C2214yescomplemented
72#10623226C2214yescomplemented
73#10623226C2214yescomplemented
74#10623225C2214yescomplemented
75#10623225C2214yescomplemented
76#10623225C2214yescomplemented
77#10623223C2214yescomplemented
78#10623223C2214yescomplemented
79#10623223C2214yescomplemented
80#10623223C2214yescomplemented
81#10623223C2214yescomplemented
82#10623222C2212yescomplemented
83#10623222C2212yescomplemented
84#10623222C2212yescomplemented
85#10623221C2214yescomplemented
86#10623221C2214yescomplemented
87D11×#125C2212yescomplemented
88C11⋊#564C2211yescharacteristic, complemented
89#10623215C2212yescomplemented
90#10623214C2212yescomplemented
91#10623212C2214yescomplemented
92#10623211C2212yescomplemented
93#10623209C2214yes—
94#10623209C2214yescomplemented
95#10623209C2214yescomplemented
96#10623207C2214yescomplemented
97#10623207C2214yescomplemented
98D11×#124C2212yescomplemented
99#10623202C2214yescomplemented
100#10623200C2214yescomplemented
101#10623198C2214yescomplemented
102#10623197C2214yescomplemented
103#10623196C2214yescomplemented
104#10623196C2214yescomplemented
105#10623194C2214yescomplemented
106#10623193C2214yescomplemented
107#10623192C2214yescomplemented
108#10623192C2214yescomplemented
109#10623191C2214yescomplemented
110#10623190C2214yescomplemented
111#10623190C2214yescomplemented
112#10623189C2214yescomplemented
113#10623189C2214yescomplemented
114#10623188C2214yescomplemented
115#10623185C2214yescomplemented
116#10623185C2214yescomplemented
117#10623184C2214yescomplemented
118#10623184C2214yescomplemented
119D11×#123C2214yescomplemented
120#10623180C2214yescomplemented
121#10623178C2214yescomplemented
122#10623178C2214yescomplemented
123#10623177C2214yescomplemented
124#10623175C2214yescomplemented
125#10623174C2214yescomplemented
126#10623173C2214yescomplemented
127#10623173C2214yescomplemented
128#10623171C2214yescomplemented
129#10623171C2214yescomplemented
130#10623171C2214yescomplemented
131#10623170C2214yescomplemented
132#10623169C2214yescomplemented
133#10623169C2214yescomplemented
134#10623169C2214yescomplemented
135#10623168C2214yescomplemented
136#10623168C2214yescomplemented
137#10623168C2214yescomplemented
138#10623168C2214yescomplemented
139#10623166C2214yescomplemented
140#10623165C2214yescomplemented
141#10623162C2214yescomplemented
142#10623161C2214yescomplemented
143#10623161C2214yescomplemented
144#10623161C2214yescomplemented
145#10623160C2214yes—
146#10623159C2214yescomplemented
147#10623158C2214yescomplemented
148D11×C22⋊Q8C2212yescomplemented
149#10623156C2214yescomplemented
150#10623155C2212yescomplemented
151#10623155C2214yescomplemented
152#10623151C2214yescomplemented
153#10623149C2214yescomplemented
154#10623148C2214yescomplemented
155#10623147C2214yescomplemented
156#10623146C2214yescomplemented
157#10623144C2214yescomplemented
158#10623143C2214yescomplemented
159#10623140C2214yescomplemented
160#10623136C2214yescomplemented
161D11×#121C2212yes—
162#10623131C2212yescomplemented
163#10623111C2212yescomplemented
164#10623111C2214yescomplemented
165#10623111C2214yescomplemented
166#10623111C2214yescomplemented
167#10623111C2214yescomplemented
168#10623111C2214yescomplemented
169#10623109C2214yescomplemented
170#10623109C2214yescomplemented
171C4×#4343C2214yescomplemented
172C4×#4343C2214yescomplemented
173C4×Q8×D11C2212yescomplemented
174#10623088C2212yescomplemented
175#10623088C2214yescomplemented
176#10623079C2214yescomplemented
177#10623078C2214yescomplemented
178#10623078C2214yescomplemented
179#10623078C2214yescomplemented
180#10623078C2214yescomplemented
181C4×D4×D11C2214yescomplemented
182C4×D4×D11C2212yescomplemented
183C4×D4×D11C2214yescomplemented
184#10623069C2214yescomplemented
185#10623059C2214yescomplemented
186#10623059C2214yescomplemented
187#10623059C2214yescomplemented
188#10623059C2214yescomplemented
189#10623059C2214yescomplemented
190#10623055C2212yescomplemented
191#10623055C2214yescomplemented
192#10623055C2214yescomplemented
193#10623053C2212yescomplemented
194D11×#117C2214yescomplemented
195D11×#117C2214yescomplemented
196#10623010C2212yescomplemented
197#10623010C2214yescomplemented
198#10623008C2211yescharacteristic, complemented
199C4×#4339C2214yescomplemented
200C4×#4339C2214yescomplemented
201C2×C4×D44C2214yescomplemented
202C2×C42×D11C2211yescharacteristic, complemented
203C2×#4343C2314yes—
204C2×#4343C2314yes—
205C2×Q8×D11C2312yes—
206C2×D4×D11C2312yes—
207C2×D4×D11C2314yes—
208C2×D4×D11C2314yes—
209C2×#4339C2314yes—
210C2×#4339C2314yes—
211C2×#4339C2312yes—
212C22×D44C2314yes—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2312yes—
215C22×C4×D11C2314yes—
216C22×C4×D11C2314yes—
217C11×C4⋊Q8C2314yes—
218C11×C4⋊Q8C2312yes—
219C11×C4⋊Q8C2314yes—
220C11×#126C2314yes—
221C11×#126C2314yes—
222C11×#126C2314yes—
223C11×#126C2314yes—
224C11×#126C2314yes—
225C11×#125C2312yes—
226C11×#125C2314yes—
227C11×#125C2314yes—
228C11×#125C2311yescharacteristic
229C11×#125C2314yes—
230C11×#125C2311yescharacteristic
231C11×#125C2314yes—
232C11×#124C2314yes—
233C11×#124C2314yes—
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×C22⋊Q8C2314yes—
248C11×#121C2312yes—
249C11×#121C2314yes—
250C11×#121C2314yes—
251C4×Q8×C11C2312yes—
252C4×Q8×C11C2314yes—
253C4×Q8×C11C2314yes—
254C4×D4×C11C2314yes—
255C4×D4×C11C2312yes—
256C4×D4×C11C2314yes—
257C11×#117C2314yes—
258C11×#117C2314yes—
259C11×#117C2312yes—
260C2×C42×C11C2311yescharacteristic
261C2×C42×C11C2314yes—
262#67000C2314yes—
263#67000C2314yes—
264#67000C2314yes—
265#67000C2314yes—
266#67000C2314yes—
267#67000C2312yes—
268#66999C2314yes—
269#66999C2314yes—
270#66999C2314yes—
271#66999C2314yes—
272#66999C2312yes—
273#66999C2314yes—
274#66999C2314yes—
275#66999C2314yes—
276Q8×Dic11C2314yes—
277Q8×Dic11C2312yes—
278Q8×Dic11C2314yes—
279#66997C2314yes—
280#66997C2314yes—
281#66993C2314yes—
282#66992C2314yes—
283#66992C2314yes—
284#66992C2314yes—
285#66992C2314yes—
286#66992C2314yes—
287#66991C2314yes—
288#66991C2312yes—
289#66991C2314yes—
290#66990C2314yes—
291#66990C2314yes—
292#66990C2314yes—
293#66990C2314yes—
294#66989C2312yes—
295#66989C2314yes—
296#66988C2314yes—
297D4×Dic11C2312yes—
298D4×Dic11C2314yes—
299D4×Dic11C2314yes—
300#66983C2314yes—
301#66983C2312yes—
302#66983C2314yes—
303#66982C2314yes—
304#66982C2314yes—
305#66982C2314yes—
306C4×C22⋊D11C2314yes—
307C4×C22⋊D11C2314yes—
308C4×C22⋊D11C2314yes—
309C4×C22⋊D11C2314yes—
310C4×C22⋊D11C2314yes—
311C4×C22⋊D11C2314yes—
312C4×C22⋊D11C2314yes—
313C4×C22⋊D11C2314yes—
314C4×C22⋊D11C2314yes—
315C4×C22⋊D11C2314yes—
316C4×C22⋊D11C2314yes—
317C2×(C2×D11)⋊C4C2314yes—
318C2×(C2×D11)⋊C4C2314yes—
319#66979C2314yes—
320#66979C2314yes—
321C2×C4⋊Dic11C2314yes—
322#66977C2312yes—
323#66977C2314yes—
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2312yes—
326#66951C2314yes—
327#66951C2314yes—
328#66951C2314yes—
329#66951C2314yes—
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#66950C2312yes—
344#66950C2312yes—
345#66950C2314yes—
346#66950C2314yes—
347#66950C2314yes—
348#66950C2314yes—
349#66950C2312yes—
350#66950C2314yes—
351#66950C2314yes—
352#66950C2314yes—
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#66949C2314yes—
366#66948C2314yes—
367#66948C2314yes—
368#66948C2314yes—
369#66948C2314yes—
370#66948C2314yes—
371#66948C2314yes—
372#66948C2312yes—
373#66948C2314yes—
374#66948C2312yes—
375#66948C2314yes—
376#66948C2314yes—
377#66948C2312yes—
378#66948C2314yes—
379#66947C2314yes—
380#66947C2314yes—
381#66947C2314yes—
382#66947C2314yes—
383#66947C2314yes—
384#66947C2314yes—
385#66947C2314yes—
386#66947C2314yes—
387#66947C2314yes—
388#66947C2314yes—
389#66947C2314yes—
390#66947C2314yes—
391#66947C2314yes—
392#66947C2314yes—
393#66947C2314yes—
394#66947C2314yes—
395#66947C2314yes—
396#66947C2314yes—
397#66947C2314yes—
398#66947C2314yes—
399#66946C2312yes—
400#66946C2312yes—
401#66946C2314yes—
402#66946C2314yes—
403#66946C2314yes—
404#66946C2314yes—
405#66946C2314yes—
406#66946C2314yes—
407#66946C2312yes—
408#66946C2314yes—
409#66946C2314yes—
410#66945C2314yes—
411#66945C2314yes—
412#66945C2314yes—
413#66945C2314yes—
414#66945C2314yes—
415#66945C2314yes—
416#66945C2314yes—
417#66945C2314yes—
418#66945C2314yes—
419#66945C2314yes—
420C4⋊C4×D11C2314yes—
421C4⋊C4×D11C2314yes—
422C4⋊C4×D11C2314yes—
423C4⋊C4×D11C2312yes—
424C4⋊C4×D11C2314yes—
425C4⋊C4×D11C2314yes—
426C4⋊C4×D11C2314yes—
427C4⋊C4×D11C2314yes—
428C4⋊C4×D11C2312yes—
429#66943C2314yes—
430#66943C2314yes—
431#66943C2314yes—
432#66943C2314yes—
433#66943C2312yes—
434#66943C2314yes—
435#66943C2312yes—
436#66943C2314yes—
437#66942C2314yes—
438#66942C2314yes—
439#66942C2314yes—
440#66942C2314yes—
441#66942C2314yes—
442#66942C2314yes—
443#66942C2314yes—
444#66942C2314yes—
445#66942C2314yes—
446#66942C2314yes—
447#66941C2314yes—
448#66941C2314yes—
449#66941C2314yes—
450#66940C2312yes—
451#66940C2314yes—
452#66940C2312yes—
453#66940C2312yes—
454#66939C2314yes—
455#66939C2314yes—
456#66939C2314yes—
457#66939C2314yes—
458#66939C2314yes—
459#66939C2314yes—
460#66938C2314yes—
461#66938C2314yes—
462#66938C2314yes—
463#66938C2314yes—
464#66938C2314yes—
465#66938C2314yes—
466#66938C2314yes—
467#66938C2314yes—
468#66937C2314yes—
469#66937C2314yes—
470#66937C2314yes—
471#66937C2314yes—
472#66937C2314yes—
473#66937C2314yes—
474#66937C2314yes—
475#66937C2314yes—
476#66937C2314yes—
477#66937C2314yes—
478#66937C2314yes—
479#66936C2314yes—
480#66936C2314yes—
481#66936C2314yes—
482#66936C2314yes—
483#66936C2314yes—
484#66936C2314yes—
485#66936C2314yes—
486#66936C2314yes—
487#66936C2314yes—
488#66936C2314yes—
489#66936C2314yes—
490#66936C2314yes—
491#66935C2314yes—
492#66935C2314yes—
493#66935C2314yes—
494#66935C2314yes—
495#66935C2314yes—
496#66935C2314yes—
497#66935C2314yes—
498#66935C2314yes—
499#66935C2314yes—
500(C22⋊D11)⋊C4C2314yes—
501(C22⋊D11)⋊C4C2314yes—
502(C22⋊D11)⋊C4C2314yes—
503(C22⋊D11)⋊C4C2314yes—
504(C22⋊D11)⋊C4C2314yes—
505(C22⋊D11)⋊C4C2314yes—
506(C22⋊D11)⋊C4C2314yes—
507C22⋊C4×D11C2314yes—
508C22⋊C4×D11C2314yes—
509C22⋊C4×D11C2314yes—
510C22⋊C4×D11C2314yes—
511C22⋊C4×D11C2314yes—
512C22⋊C4×D11C2314yes—
513C22⋊C4×D11C2314yes—
514C22⋊C4×D11C2314yes—
515C22⋊C4×D11C2314yes—
516#66932C2314yes—
517#66932C2314yes—
518#66932C2314yes—
519#66932C2314yes—
520#66932C2314yes—
521#66932C2314yes—
522#66932C2314yes—
523#66932C2314yes—
524#66932C2314yes—
525#66931C2314yes—
526#66931C2314yes—
527#66931C2314yes—
528#66931C2314yes—
529#66931C2314yes—
530#66930C2314yes—
531#66930C2314yes—
532#66930C2314yes—
533#66930C2314yes—
534#66929C2314yes—
535#66929C2314yes—
536#66929C2314yes—
537#66928C2314yes—
538#66928C2312yes—
539#66928C2312yes—
540#66927C2311yescharacteristic
541C4×D44C2314yes—
542C4×D44C2314yes—
543C4×D44C2314yes—
544C4×D44C2314yes—
545C4×D44C2314yes—
546C4×D44C2314yes—
547C4×D44C2314yes—
548C4×D44C2314yes—
549C4×D44C2314yes—
550C4×D44C2314yes—
551C4×D44C2314yes—
552C4×D44C2314yes—
553C4×D44C2314yes—
554C4×D44C2312yes—
555C4×D44C2314yes—
556#66925C2314yes—
557#66925C2314yes—
558#66925C2314yes—
559#66925C2314yes—
560#66925C2314yes—
561#66925C2314yes—
562#66925C2314yes—
563C42×D11C2312yes—
564C42×D11C2312yes—
565C42×D11C2312yes—
566C42×D11C2312yes—
567C42×D11C2314yes—
568C42×D11C2314yes—
569C42×D11C2314yes—
570C42×D11C2314yes—
571#66923C2314yes—
572#66923C2312yes—
573#66922C2311yescharacteristic
574C4×Dic22C2314yes—
575C4×Dic22C2314yes—
576C4×Dic22C2314yes—
577C4×Dic22C2314yes—
578C4×Dic22C2314yes—
579C4×Dic22C2312yes—
580#62755—111nomaximal, Sylow
581C23×D11C2411yescharacteristic
582C23×D11C2414yes—
583C23×D11C2414yes—
584C2×Q8×C11C2414yes—
585C2×Q8×C11C2414yes—
586C2×Q8×C11C2412yes—
587C2×D4×C11C2414yes—
588C2×D4×C11C2412yes—
589C2×D4×C11C2414yes—
590C22×C4×C11C2411yescharacteristic
591C22×C4×C11C2414yes—
592C22×C4×C11C2412yes—
593C22×C4×C11C2414yes—
594C22×C4×C11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C2×C22⋊D11C2414yes—
598C2×C22⋊D11C2414yes—
599C2×C22⋊D11C2414yes—
600C2×C22⋊D11C2414yes—
601C2×C22⋊D11C2414yes—
602C2×C22⋊D11C2414yes—
603C22×Dic11C2414yes—
604C22×Dic11C2414yes—
605C22×Dic11C2412yes—
606C22×Dic11C2411yescharacteristic
607#4343—48no—
608#4343—48no—
609Q8×D11—44no—
610D4×D11—44no—
611D4×D11—48no—
612D4×D11—48no—
613#4339—48no—
614#4339—44no—
615#4339—48no—
616C2×D44—48no—
617C2×D44C2414yes—
618C2×D44C2414yes—
619C2×D44C2414yes—
620C2×D44C2414yes—
621C2×D44C2414yes—
622C2×D44C2414yes—
623C2×D44C2414yes—
624C2×D44C2414yes—
625C2×D44C2412yes—
626C2×D44C2412yes—
627C2×C4×D11—48no—
628C2×C4×D11—48no—
629C2×C4×D11—42no—
630C2×C4×D11—44no—
631C2×C4×D11C2412yes—
632C2×C4×D11C2414yes—
633C2×C4×D11C2412yes—
634C2×C4×D11C2412yes—
635C2×C4×D11C2414yes—
636C2×C4×D11C2414yes—
637C2×C4×D11C2412yes—
638C2×C4×D11C2412yes—
639C2×C4×D11C2412yes—
640C2×C4×D11C2414yes—
641C2×C4×D11C2414yes—
642C2×C4×D11C2414yes—
643C2×C4×D11C2414yes—
644C2×C4×D11C2414yes—
645C2×C4×D11C2414yes—
646C2×C4×D11C2414yes—
647C2×C4×D11C2414yes—
648C2×C4×D11C2414yes—
649C2×C4×D11C2414yes—
650C2×C4×D11C2414yes—
651C2×Dic22C2414yes—
652C2×Dic22C2414yes—
653C2×Dic22C2414yes—
654C2×Dic22C2412yes—
655C2×Dic22C2412yes—
656C11×C4⋊C4C2412yes—
657C11×C4⋊C4C2412yes—
658C11×C4⋊C4C2414yes—
659C11×C4⋊C4C2412yes—
660C11×C4⋊C4C2414yes—
661C11×C4⋊C4C2414yes—
662C11×C4⋊C4C2414yes—
663C11×C4⋊C4C2414yes—
664C11×C4⋊C4C2414yes—
665C11×C4⋊C4C2414yes—
666C11×C4⋊C4C2414yes—
667C11×C4⋊C4C2414yes—
668C11×C4⋊C4C2414yes—
669C11×C4⋊C4C2414yes—
670C11×C4⋊C4C2414yes—
671C11×C4⋊C4C2414yes—
672C11×C4⋊C4C2412yes—
673C11×C22⋊C4C2414yes—
674C11×C22⋊C4C2414yes—
675C11×C22⋊C4C2414yes—
676C11×C22⋊C4C2414yes—
677C11×C22⋊C4C2414yes—
678C11×C22⋊C4C2414yes—
679C11×C22⋊C4C2414yes—
680C11×C22⋊C4C2414yes—
681C11×C22⋊C4C2414yes—
682C11×C22⋊C4C2414yes—
683C42×C11C2414yes—
684C42×C11C2414yes—
685C42×C11C2414yes—
686C42×C11C2412yes—
687C42×C11C2414yes—
688C42×C11C2411yescharacteristic
689C42×C11C2411yescharacteristic
690C22⋊Dic11C2414yes—
691C22⋊Dic11C2414yes—
692C22⋊Dic11C2414yes—
693C22⋊Dic11C2414yes—
694C22⋊Dic11C2414yes—
695C22⋊Dic11C2414yes—
696C22⋊Dic11C2414yes—
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—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727C4⋊Dic11C2414yes—
728C4⋊Dic11C2412yes—
729C4⋊Dic11C2414yes—
730C4⋊Dic11C2414yes—
731C4⋊Dic11C2414yes—
732C4⋊Dic11C2414yes—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2412yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
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—
760C4×Dic11C2414yes—
761C4×Dic11C2411yescharacteristic
762C4×Dic11C2414yes—
763C4×Dic11C2414yes—
764C4×Dic11C2414yes—
765C4×Dic11C2414yes—
766C4×Dic11C2414yes—
767C4×Dic11C2414yes—
768C4×Dic11C2411yescharacteristic
769C4×Dic11C2412yes—
770C4×Dic11C2412yes—
771C4×Dic11C2412yes—
772C4×Dic11C2412yes—
773C4×Dic11C2412yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776#3566—114no—
777#3566—114no—
778#3564—114no—
779#3560—114no—
780#3553—112no—
781#3553—112no—
782#3545—112no—
783#3545—112no—
784#3535—114no—
785#3534—114no—
786#3531—111no—
787#3531D1111yescharacteristic, complemented
788#3529—112no—
789#3481—114no—
790#3475—114no—
791#3475—114no—
792#3461—114no—
793#3459—114no—
794#3455—114no—
795#3444—111no—
796C2×#529—112no—
797C23×C11C2514yes—
798C23×C11C2511yescharacteristic
799C22×D11—24no—
800C22×D11—28no—
801C22×D11—41no—
802C22×D11—44no—
803C22×D11—44no—
804C22×D11—44no—
805C22×D11—44no—
806C22×D11—44no—
807C22×D11C2514yes—
808C22×D11C2514yes—
809C22×D11C2512yes—
810Q8×C11—42no—
811Q8×C11—44no—
812Q8×C11—44no—
813D4×C11—42no—
814D4×C11—44no—
815D4×C11—44no—
816C2×C4×C11—28no—
817C2×C4×C11—22no—
818C2×C4×C11—42no—
819C2×C4×C11—44no—
820C2×C4×C11—44no—
821C2×C4×C11C2512yes—
822C2×C4×C11C2514yes—
823C2×C4×C11C2514yes—
824C2×C4×C11C2511yescharacteristic
825C2×C4×C11C2514yes—
826C2×C4×C11C2512yes—
827C2×C4×C11C2514yes—
828C2×C4×C11C2514yes—
829C2×C4×C11C2511yescharacteristic
830C22⋊D11—28no—
831C22⋊D11—44no—
832C22⋊D11—44no—
833C22⋊D11—44no—
834C22⋊D11—44no—
835C22⋊D11—44no—
836C22⋊D11—44no—
837C22⋊D11—44no—
838C2×Dic11—44no—
839C2×Dic11—42no—
840C2×Dic11—44no—
841C2×Dic11—41no—
842C2×Dic11C2512yes—
843C2×Dic11C2512yes—
844C2×Dic11C2514yes—
845C2×Dic11C2512yes—
846C2×Dic11C2514yes—
847C2×Dic11C2514yes—
848C2×Dic11C2514yes—
849D44—28no—
850D44—28no—
851D44—28no—
852D44—44no—
853D44—44no—
854D44—42no—
855D44—44no—
856D44—42no—
857D44—44no—
858D44—44no—
859C4×D11—24no—
860C4×D11—24no—
861C4×D11—28no—
862C4×D11—24no—
863C4×D11—28no—
864C4×D11—28no—
865C4×D11—44no—
866C4×D11—42no—
867C4×D11—44no—
868C4×D11—44no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—44no—
872C4×D11—44no—
873C4×D11—44no—
874C4×D11—44no—
875C4×D11—44no—
876C4×D11—44no—
877C4×D11—44no—
878C4×D11—44no—
879Dic22—44no—
880Dic22—42no—
881Dic22—44no—
882Dic22—42no—
883Dic22—44no—
884#564—111no—
885#564C2×D1111yescharacteristic, complemented
886#563—114no—
887#563—114no—
888#563—112no—
889#563—112no—
890#563—114no—
891#563C2×D1114yescomplemented
892#563C2×D1112yescomplemented
893#563C2×D1114yescomplemented
894#562—112no—
895#562—111no—
896#562—112no—
897#562—114no—
898#562—114no—
899#562—114no—
900#562C2×D1114yescomplemented
901#562C2×D1111yescharacteristic, complemented
902H(3,𝔽4)—112no—
903#560—114no—
904#560—114no—
905#560—114no—
906#559—114no—
907#556—114no—
908#556—114no—
909#555—114no—
910#555—114no—
911#554—114no—
912#554—114no—
913#554—114no—
914#554—114no—
915#553—114no—
916#553—114no—
917#553—114no—
918#553—114no—
919#553—114no—
920#553—114no—
921#553—114no—
922#553—114no—
923#552—114no—
924#552—114no—
925#552—114no—
926#552—114no—
927#552—114no—
928#552—114no—
929#552—114no—
930#552—114no—
931#551—114no—
932#551—114no—
933#551—114no—
934#551—114no—
935#551—114no—
936#551—114no—
937#551—114no—
938#551—114no—
939#551—114no—
940#551—114no—
941#551—114no—
942#551—114no—
943#547—114no—
944#547—114no—
945#546—114no—
946#546—114no—
947#546—114no—
948#546—114no—
949#546—114no—
950#546—114no—
951#546—114no—
952#546—114no—
953D42—114no—
954#544—114no—
955#543—114no—
956#542—114no—
957#542—114no—
958#542—114no—
959#542—114no—
960#542—114no—
961#542—114no—
962#542—114no—
963#542—114no—
964#541—114no—
965#541—114no—
966#541—114no—
967#541—114no—
968#541—114no—
969#541—114no—
970#540—114no—
971#540—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#538—114no—
987#538—114no—
988#538—114no—
989#538—114no—
990#538—114no—
991#538—114no—
992#538—114no—
993#538—114no—
994#538—114no—
995#538—114no—
996#537—114no—
997#536—114no—
998#536—114no—
999#534—114no—
1000#534—114no—
1001#534—114no—
1002#533—112no—
1003#533—114no—
1004#533—114no—
1005#533C2×D1111yescharacteristic, complemented
1006#533C2×D1114yescomplemented
1007#532—112no—
1008#532—114no—
1009#532—111no—
1010#529—114no—
1011#529—112no—
1012#529—112no—
1013#529—112no—
1014#529—112no—
1015#529—114no—
1016#529—112no—
1017#529—114no—
1018#529—112no—
1019#529—112no—
1020#529—114no—
1021#529—114no—
1022#529—114no—
1023#529—114no—
1024#529—114no—
1025#529—114no—
1026#529—112no—
1027#529—114no—
1028#529—114no—
1029#529—114no—
1030#529—114no—
1031#529—114no—
1032#529—114no—
1033#529—112no—
1034#529—114no—
1035#529C2×D1112yescomplemented
1036#529C2×D1114yescomplemented
1037#529C2×D1114yescomplemented
1038C2×#126—114no—
1039C2×#125—112no—
1040C2×#124—112no—
1041#525—114no—
1042#525—114no—
1043#525—114no—
1044#525—114no—
1045#525—114no—
1046#525—112no—
1047#525—114no—
1048#525—114no—
1049C2×#123—114no—
1050C2×C22⋊Q8—112no—
1051C2×#121—112no—
1052C4×#41—114no—
1053C4×#41—114no—
1054C4×#41—112no—
1055C4×#41—114no—
1056C4×#41—114no—
1057C2×C4×Q8—112no—
1058C2×C4×D4—112no—
1059C2×C4×D4—114no—
1060C2×C4×D4—114no—
1061C2×C4×D4—114no—
1062C2×#117—114no—
1063C2×#117—114no—
1064C22×C42—111no—
1065C22×C11—24no—
1066C22×C11—21no—
1067C22×C11—24no—
1068C22×C11—22no—
1069C22×C11—24no—
1070C22×C11C2611yescharacteristic
1071C2×D11—22no—
1072C2×D11—22no—
1073C2×D11—24no—
1074C2×D11—24no—
1075C2×D11—24no—
1076C2×D11—24no—
1077C2×D11—24no—
1078C2×D11—24no—
1079C2×D11—44no—
1080C2×D11—88no—
1081C2×D11—88no—
1082C2×D11#58514yes—
1083C4×C11—21no—
1084C4×C11—24no—
1085C4×C11—22no—
1086C4×C11—24no—
1087C4×C11—24no—
1088C4×C11—24no—
1089C4×C11—22no—
1090C4×C11—24no—
1091C4×C11#58512yes—
1092Dic11—24no—
1093Dic11—22no—
1094Dic11—24no—
1095Dic11—24no—
1096Dic11—24no—
1097Dic11—22no—
1098Dic11—22no—
1099C2×#41—114no—
1100C2×#41—114no—
1101C2×#41—114no—
1102C2×#41—112no—
1103C2×#41—114no—
1104C22×Q8—112no—
1105C22×D4—114no—
1106C22×D4—112no—
1107C22×D4—114no—
1108C22×D4—114no—
1109C23×C4—114no—
1110C23×C4—114no—
1111C23×C4—111no—
1112C23×C4—112no—
1113C4⋊Q8—114no—
1114C4⋊Q8—114no—
1115C4⋊Q8—114no—
1116C4⋊Q8—114no—
1117C4⋊Q8—114no—
1118C4⋊Q8—111no—
1119C4⋊Q8C22×D1112yes—
1120C4⋊Q8C22×D1114yes—
1121C4⋊Q8C22×D1114yes—
1122#127—114no—
1123#127—111no—
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—112no—
1161#125—112no—
1162#125—114no—
1163#125—114no—
1164#125—114no—
1165#125—114no—
1166#125—114no—
1167#125—114no—
1168#125—114no—
1169#125—114no—
1170#125—114no—
1171#125—114no—
1172#125—114no—
1173#125—114no—
1174#125—114no—
1175#125—114no—
1176#125—112no—
1177#125—114no—
1178#125C22×D1112yes—
1179#125C22×D1111yescharacteristic
1180#125C22×D1111yescharacteristic
1181#125C22×D1114yes—
1182#125C22×D1114yes—
1183#125C22×D1114yes—
1184#125C22×D1114yes—
1185#124—112no—
1186#124—114no—
1187#124—114no—
1188#124—114no—
1189#124—114no—
1190#124—114no—
1191#124—112no—
1192#124—114no—
1193#124—114no—
1194#124—114no—
1195#124—114no—
1196#124—114no—
1197#124—114no—
1198#124—114no—
1199#124—114no—
1200#124—114no—
1201#124—112no—
1202#124—112no—
1203#124—114no—
1204#124C22×D1112yes—
1205#124C22×D1114yes—
1206#124C22×D1114yes—
1207#123—114no—
1208#123—114no—
1209#123—114no—
1210#123—114no—
1211#123—114no—
1212#123—114no—
1213#123—114no—
1214#123—114no—
1215#123—114no—
1216#123—114no—
1217#123—114no—
1218#123—114no—
1219#123—114no—
1220#123—114no—
1221#123—114no—
1222#123—114no—
1223#123—114no—
1224#123—114no—
1225#123—114no—
1226#123—114no—
1227#123—114no—
1228#123—114no—
1229#123—114no—
1230#123—114no—
1231#123—114no—
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#123C22×D1114yes—
1250#123C22×D1114yes—
1251#123C22×D1114yes—
1252#123C22×D1114yes—
1253#123C22×D1114yes—
1254C22⋊Q8—112no—
1255C22⋊Q8—114no—
1256C22⋊Q8—114no—
1257C22⋊Q8—114no—
1258C22⋊Q8—114no—
1259C22⋊Q8—114no—
1260C22⋊Q8—114no—
1261C22⋊Q8—114no—
1262C22⋊Q8—112no—
1263C22⋊Q8—114no—
1264C22⋊Q8—114no—
1265C22⋊Q8—112no—
1266C22⋊Q8—112no—
1267C22⋊Q8—112no—
1268C22⋊Q8—114no—
1269C22⋊Q8—114no—
1270C22⋊Q8—114no—
1271C22⋊Q8—114no—
1272C22⋊Q8—114no—
1273C22⋊Q8—114no—
1274C22⋊Q8—114no—
1275C22⋊Q8—114no—
1276C22⋊Q8—114no—
1277C22⋊Q8—114no—
1278C22⋊Q8—114no—
1279C22⋊Q8—114no—
1280C22⋊Q8—114no—
1281C22⋊Q8—114no—
1282C22⋊Q8—114no—
1283C22⋊Q8—114no—
1284C22⋊Q8—114no—
1285C22⋊Q8—114no—
1286C22⋊Q8—114no—
1287C22⋊Q8—114no—
1288C22⋊Q8—114no—
1289C22⋊Q8—114no—
1290C22⋊Q8—114no—
1291C22⋊Q8—114no—
1292C22⋊Q8C22×D1112yes—
1293C22⋊Q8C22×D1114yes—
1294C22⋊Q8C22×D1114yes—
1295C22⋊Q8C22×D1114yes—
1296C22⋊Q8C22×D1114yes—
1297C22⋊Q8C22×D1114yes—
1298C22⋊Q8C22×D1114yes—
1299C22⋊Q8C22×D1114yes—
1300#121—114no—
1301#121—112no—
1302#121—114no—
1303#121—114no—
1304#121—114no—
1305#121—114no—
1306#121—114no—
1307#121—114no—
1308#121—112no—
1309#121—114no—
1310#121—114no—
1311#121—112no—
1312#121—114no—
1313#121—112no—
1314#121—112no—
1315#121—114no—
1316#121—114no—
1317#121—114no—
1318#121—114no—
1319#121—114no—
1320#121—114no—
1321#121—114no—
1322#121—114no—
1323#121—114no—
1324#121—114no—
1325#121—114no—
1326#121—114no—
1327#121—114no—
1328#121—114no—
1329#121—114no—
1330#121—114no—
1331#121—114no—
1332#121—114no—
1333#121—114no—
1334#121—114no—
1335#121C22×D1112yes—
1336#121C22×D1114yes—
1337#121C22×D1114yes—
1338#120—114no—
1339#120—114no—
1340#120—114no—
1341#120—114no—
1342#120—114no—
1343#120—114no—
1344#120—114no—
1345#120—114no—
1346#120—114no—
1347#120—114no—
1348#120—114no—
1349#120—114no—
1350#120—114no—
1351C4×Q8—112no—
1352C4×Q8—114no—
1353C4×Q8—114no—
1354C4×Q8—114no—
1355C4×Q8—112no—
1356C4×Q8—112no—
1357C4×Q8—112no—
1358C4×Q8—114no—
1359C4×Q8—112no—
1360C4×Q8—114no—
1361C4×Q8—114no—
1362C4×Q8—114no—
1363C4×Q8—114no—
1364C4×Q8C22×D1112yes—
1365C4×Q8C22×D1114yes—
1366C4×Q8C22×D1114yes—
1367C4×D4—112no—
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—114no—
1377C4×D4—114no—
1378C4×D4—114no—
1379C4×D4—114no—
1380C4×D4—114no—
1381C4×D4—112no—
1382C4×D4—114no—
1383C4×D4—114no—
1384C4×D4—114no—
1385C4×D4—114no—
1386C4×D4—112no—
1387C4×D4—112no—
1388C4×D4—114no—
1389C4×D4—114no—
1390C4×D4—114no—
1391C4×D4—114no—
1392C4×D4—114no—
1393C4×D4—114no—
1394C4×D4—114no—
1395C4×D4—114no—
1396C4×D4—114no—
1397C4×D4—114no—
1398C4×D4—114no—
1399C4×D4—114no—
1400C4×D4—114no—
1401C4×D4—114no—
1402C4×D4—112no—
1403C4×D4—114no—
1404C4×D4—114no—
1405C4×D4—114no—
1406C4×D4—114no—
1407C4×D4—114no—
1408C4×D4—114no—
1409C4×D4—114no—
1410C4×D4—114no—
1411C4×D4—114no—
1412C4×D4—114no—
1413C4×D4—114no—
1414C4×D4C22×D1112yes—
1415C4×D4C22×D1114yes—
1416C4×D4C22×D1114yes—
1417#117—114no—
1418#117—114no—
1419#117—114no—
1420#117—114no—
1421#117—114no—
1422#117—114no—
1423#117—114no—
1424#117—114no—
1425#117—114no—
1426#117—114no—
1427#117—114no—
1428#117—114no—
1429#117—114no—
1430#117—114no—
1431#117—114no—
1432#117—114no—
1433#117—114no—
1434#117—114no—
1435#117—114no—
1436#117—114no—
1437#117—114no—
1438#117—114no—
1439#117—114no—
1440#117C22×D1114yes—
1441#117C22×D1114yes—
1442#117C22×D1112yes—
1443C2×C4⋊C4—114no—
1444C2×C4⋊C4—114no—
1445C2×C4⋊C4—114no—
1446C2×C4⋊C4—114no—
1447C2×C4⋊C4—114no—
1448C2×C4⋊C4—112no—
1449C2×C4⋊C4—114no—
1450C2×C4⋊C4—114no—
1451C2×C4⋊C4—112no—
1452C2×C4⋊C4—114no—
1453C2×C22⋊C4—114no—
1454C2×C22⋊C4—114no—
1455C2×C22⋊C4—114no—
1456C2×C22⋊C4—114no—
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×C42—111no—
1465C2×C42—112no—
1466C2×C42—112no—
1467C2×C42—114no—
1468C2×C42—114no—
1469C2×C42—114no—
1470C2×C42—112no—
1471C2×C42—114no—
1472C2×C42—112no—
1473C2×C42—112no—
1474C2×C42C22×D1114yes—
1475C2×C42C22×D1111yescharacteristic
1476C2×C11—41no—
1477C2×C11—44no—
1478C2×C11C2×#58512yes—
1479C2×C11C2×#58511yescharacteristic
1480D11—24no—
1481D11—44no—
1482D11—44no—
1483C24—111no—
1484C24—114no—
1485C24—114no—
1486#41—448no—
1487#41—444no—
1488#41—448no—
1489#41—448no—
1490#41—448no—
1491C2×Q8—114no—
1492C2×Q8—112no—
1493C2×Q8—114no—
1494C2×Q8—114no—
1495C2×Q8—112no—
1496C2×Q8—444no—
1497C2×Q8C23×D1112yes—
1498C2×Q8C23×D1114yes—
1499C2×Q8C23×D1114yes—
1500C2×D4—114no—
1501C2×D4—114no—
1502C2×D4—114no—
1503C2×D4—114no—
1504C2×D4—114no—
1505C2×D4—114no—
1506C2×D4—114no—
1507C2×D4—114no—
1508C2×D4—114no—
1509C2×D4—114no—
1510C2×D4—114no—
1511C2×D4—114no—
1512C2×D4—114no—
1513C2×D4—112no—
1514C2×D4—114no—
1515C2×D4—114no—
1516C2×D4—112no—
1517C2×D4—114no—
1518C2×D4—448no—
1519C2×D4—444no—
1520C2×D4—448no—
1521C2×D4—448no—
1522C2×D4C23×D1112yes—
1523C2×D4C23×D1114yes—
1524C2×D4C23×D1114yes—
1525C22×C4—111no—
1526C22×C4—112no—
1527C22×C4—114no—
1528C22×C4—114no—
1529C22×C4—112no—
1530C22×C4—112no—
1531C22×C4—114no—
1532C22×C4—112no—
1533C22×C4—114no—
1534C22×C4—114no—
1535C22×C4—112no—
1536C22×C4—112no—
1537C22×C4—112no—
1538C22×C4—114no—
1539C22×C4—114no—
1540C22×C4—114no—
1541C22×C4—114no—
1542C22×C4—114no—
1543C22×C4—114no—
1544C22×C4—114no—
1545C22×C4—114no—
1546C22×C4—114no—
1547C22×C4—114no—
1548C22×C4—114no—
1549C22×C4—448no—
1550C22×C4—448no—
1551C22×C4—442no—
1552C22×C4—444no—
1553C22×C4C23×D1111yescharacteristic
1554C22×C4C23×D1114yes—
1555C22×C4C23×D1112yes—
1556C22×C4C23×D1114yes—
1557C22×C4C23×D1114yes—
1558C4⋊C4—114no—
1559C4⋊C4—114no—
1560C4⋊C4—114no—
1561C4⋊C4—114no—
1562C4⋊C4—114no—
1563C4⋊C4—114no—
1564C4⋊C4—114no—
1565C4⋊C4—114no—
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—112no—
1575C4⋊C4—114no—
1576C4⋊C4—114no—
1577C4⋊C4—112no—
1578C4⋊C4—114no—
1579C4⋊C4—114no—
1580C4⋊C4—114no—
1581C4⋊C4—114no—
1582C4⋊C4—114no—
1583C4⋊C4—114no—
1584C4⋊C4—114no—
1585C4⋊C4—114no—
1586C4⋊C4—114no—
1587C4⋊C4—114no—
1588C4⋊C4—114no—
1589C4⋊C4—114no—
1590C4⋊C4—114no—
1591C4⋊C4C23×D1114yes—
1592C4⋊C4C23×D1114yes—
1593C4⋊C4C23×D1114yes—
1594C4⋊C4C23×D1114yes—
1595C4⋊C4C23×D1114yes—
1596C4⋊C4C23×D1112yes—
1597C4⋊C4C23×D1114yes—
1598C4⋊C4C23×D1112yes—
1599C4⋊C4C23×D1114yes—
1600C4⋊C4C23×D1114yes—
1601C4⋊C4C23×D1114yes—
1602C4⋊C4C23×D1114yes—
1603C4⋊C4C23×D1114yes—
1604C4⋊C4C23×D1114yes—
1605C4⋊C4C23×D1114yes—
1606C4⋊C4C23×D1112yes—
1607C4⋊C4C23×D1112yes—
1608C22⋊C4—114no—
1609C22⋊C4—114no—
1610C22⋊C4—114no—
1611C22⋊C4—114no—
1612C22⋊C4—114no—
1613C22⋊C4—114no—
1614C22⋊C4—114no—
1615C22⋊C4—114no—
1616C22⋊C4—114no—
1617C22⋊C4—114no—
1618C22⋊C4—114no—
1619C22⋊C4—114no—
1620C22⋊C4—114no—
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⋊C4C23×D1114yes—
1646C22⋊C4C23×D1114yes—
1647C22⋊C4C23×D1114yes—
1648C22⋊C4C23×D1114yes—
1649C22⋊C4C23×D1114yes—
1650C22⋊C4C23×D1114yes—
1651C22⋊C4C23×D1114yes—
1652C22⋊C4C23×D1114yes—
1653C22⋊C4C23×D1114yes—
1654C22⋊C4C23×D1114yes—
1655C42—112no—
1656C42—112no—
1657C42—112no—
1658C42—112no—
1659C42—112no—
1660C42—114no—
1661C42—114no—
1662C42—114no—
1663C42—114no—
1664C42—114no—
1665C42—114no—
1666C42—114no—
1667C42—114no—
1668C42—111no—
1669C42—114no—
1670C42—111no—
1671C42C23×D1111yescharacteristic
1672C42C23×D1111yescharacteristic
1673C42C23×D1114yes—
1674C42C23×D1114yes—
1675C42C23×D1114yes—
1676C42C23×D1112yes—
1677C42C23×D1114yes—
1678C11#6275511yescharacteristic, complemented, Sylow
1679C23—112no—
1680C23—114no—
1681C23—114no—
1682C23—224no—
1683C23—228no—
1684C23—441no—
1685C23—444no—
1686C23—444no—
1687C23—444no—
1688C23—444no—
1689C23—444no—
1690C23C24×D1114yes—
1691C23C24×D1111yescharacteristic
1692Q8—42no—
1693Q8—44no—
1694Q8—44no—
1695Q8—442no—
1696Q8—444no—
1697Q8—444no—
1698Q8—444no—
1699Q8—442no—
1700D4—42no—
1701D4—44no—
1702D4—44no—
1703D4—228no—
1704D4—228no—
1705D4—228no—
1706D4—228no—
1707D4—442no—
1708D4—444no—
1709D4—444no—
1710D4—444no—
1711D4—444no—
1712D4—444no—
1713D4—442no—
1714D4—444no—
1715D4—444no—
1716D4—444no—
1717D4—444no—
1718D4—444no—
1719D4—444no—
1720D4—444no—
1721C2×C4—28no—
1722C2×C4—22no—
1723C2×C4—42no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—112no—
1727C2×C4—112no—
1728C2×C4—114no—
1729C2×C4—112no—
1730C2×C4—114no—
1731C2×C4—114no—
1732C2×C4—114no—
1733C2×C4—224no—
1734C2×C4—224no—
1735C2×C4—228no—
1736C2×C4—224no—
1737C2×C4—228no—
1738C2×C4—228no—
1739C2×C4—442no—
1740C2×C4—442no—
1741C2×C4—444no—
1742C2×C4—444no—
1743C2×C4—444no—
1744C2×C4—444no—
1745C2×C4—442no—
1746C2×C4—444no—
1747C2×C4—444no—
1748C2×C4—444no—
1749C2×C4—444no—
1750C2×C4—444no—
1751C2×C4—444no—
1752C2×C4—444no—
1753C2×C4—442no—
1754C2×C4—441no—
1755C2×C4—444no—
1756C2×C4—444no—
1757C2×C4C24×D1114yes—
1758C2×C4C24×D1112yes—
1759C2×C4C24×D1114yes—
1760C2×C4C24×D1112yes—
1761C2×C4C24×D1114yes—
1762C2×C4C24×D1111yescharacteristic
1763C2×C4C24×D1114yes—
1764C2×C4C24×D1114yes—
1765C2×C4C24×D1111yescharacteristic
1766C22—22no—
1767C22—24no—
1768C22—24no—
1769C22—24no—
1770C22—21no—
1771C22—114no—
1772C22—222no—
1773C22—222no—
1774C22—224no—
1775C22—224no—
1776C22—224no—
1777C22—224no—
1778C22—224no—
1779C22—224no—
1780C22—444no—
1781C22—888no—
1782C22—888no—
1783C22C25×D1111yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—24no—
1787C4—24no—
1788C4—24no—
1789C4—24no—
1790C4—24no—
1791C4—21no—
1792C4—222no—
1793C4—222no—
1794C4—224no—
1795C4—224no—
1796C4—222no—
1797C4—224no—
1798C4—224no—
1799C4#1062345712yes—
1800C2—41no—
1801C2—44no—
1802C2—224no—
1803C2—444no—
1804C2—444no—
1805C2D11×#58512yes—
1806C2C2×#1062345711yescharacteristic
subgroupG/H
centerC2×C4C24×D11
commutator, socle, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC11×#3531C2
hypercenter#3531D11
hypocenterC11#62755
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #3531

Complements

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

NH ≅ G/Ntype
1. #13083297C2semidirect
2. #13083281C2semidirect
3. #13083231C2semidirect
4. #13083159C2semidirect
5. #13083073C2semidirect
6. #13083067C2semidirect
7. #13082974C2semidirect
8. #13082966C2semidirect
9. #13082827C2semidirect
10. #13082808C2semidirect
11. #13082763C2semidirect
12. #13082755C2semidirect
13. #13082222C2semidirect
14. #13082183C2semidirect
15. #13082172C2semidirect
16. #13082047C2semidirect
17. #13082026C2semidirect
18. #13081999C2semidirect
19. #13081913C2semidirect
20. D11×#529C2semidirect
21. C11×#3531C2semidirect
22. C11×#564C22semidirect
23. C11×#563C22semidirect
24. C11×#563C22semidirect
25. C11×#563C22semidirect
26. C11×#562C22semidirect
27. C11×#562C22semidirect
28. C11×#533C22semidirect
29. C11×#533C22semidirect
30. C11×#529C22semidirect
31. C11×#529C22semidirect
32. C11×#529C22semidirect
33. #10623266C22semidirect
34. #10623265C22semidirect
35. #10623264C22semidirect
36. #10623263C22semidirect
37. #10623262C22semidirect
38. #10623261C22semidirect
39. #10623260C22semidirect
40. #10623259C22semidirect
41. #10623257C22semidirect
42. #10623256C22semidirect
43. #10623255C22semidirect
44. #10623243C22semidirect
45. #10623242C22semidirect
46. #10623241C22semidirect
47. #10623240C22semidirect
48. #10623240C22semidirect
49. #10623239C22semidirect
50. #10623239C22semidirect
51. #10623238C22semidirect
52. #10623238C22semidirect
53. #10623238C22semidirect
54. #10623237C22semidirect
55. #10623236C22semidirect
56. #10623236C22semidirect
57. #10623236C22semidirect
58. #10623236C22semidirect
59. #10623235C22semidirect
60. #10623235C22semidirect
61. #10623235C22semidirect
62. D11×#126C22semidirect
63. #10623232C22semidirect
64. #10623231C22semidirect
65. #10623231C22semidirect
66. #10623230C22semidirect
67. #10623230C22semidirect
68. #10623227C22semidirect
69. #10623227C22semidirect
70. #10623227C22semidirect
71. #10623226C22semidirect
72. #10623226C22semidirect
73. #10623226C22semidirect
74. #10623225C22semidirect
75. #10623225C22semidirect
76. #10623225C22semidirect
77. #10623223C22semidirect
78. #10623223C22semidirect
79. #10623223C22semidirect
80. #10623223C22semidirect
81. #10623223C22semidirect
82. #10623222C22semidirect
83. #10623222C22semidirect
84. #10623222C22semidirect
85. #10623221C22semidirect
86. #10623221C22semidirect
87. D11×#125C22semidirect
88. C11⋊#564C22semidirect
89. #10623215C22semidirect
90. #10623214C22semidirect
91. #10623212C22semidirect
92. #10623211C22semidirect
94. #10623209C22semidirect
95. #10623209C22semidirect
96. #10623207C22semidirect
97. #10623207C22semidirect
98. D11×#124C22semidirect
99. #10623202C22semidirect
100. #10623200C22semidirect
101. #10623198C22semidirect
102. #10623197C22semidirect
103. #10623196C22semidirect
104. #10623196C22semidirect
105. #10623194C22semidirect
106. #10623193C22semidirect
107. #10623192C22semidirect
108. #10623192C22semidirect
109. #10623191C22semidirect
110. #10623190C22semidirect
111. #10623190C22semidirect
112. #10623189C22semidirect
113. #10623189C22semidirect
114. #10623188C22semidirect
115. #10623185C22semidirect
116. #10623185C22semidirect
117. #10623184C22semidirect
118. #10623184C22semidirect
119. D11×#123C22semidirect
120. #10623180C22semidirect
121. #10623178C22semidirect
122. #10623178C22semidirect
123. #10623177C22semidirect
124. #10623175C22semidirect
125. #10623174C22semidirect
126. #10623173C22semidirect
127. #10623173C22semidirect
128. #10623171C22semidirect
129. #10623171C22semidirect
130. #10623171C22semidirect
131. #10623170C22semidirect
132. #10623169C22semidirect
133. #10623169C22semidirect
134. #10623169C22semidirect
135. #10623168C22semidirect
136. #10623168C22semidirect
137. #10623168C22semidirect
138. #10623168C22semidirect
139. #10623166C22semidirect
140. #10623165C22semidirect
141. #10623162C22semidirect
142. #10623161C22semidirect
143. #10623161C22semidirect
144. #10623161C22semidirect
146. #10623159C22semidirect
147. #10623158C22semidirect
148. D11×C22⋊Q8C22semidirect
149. #10623156C22semidirect
150. #10623155C22semidirect
151. #10623155C22semidirect
152. #10623151C22semidirect
153. #10623149C22semidirect
154. #10623148C22semidirect
155. #10623147C22semidirect
156. #10623146C22semidirect
157. #10623144C22semidirect
158. #10623143C22semidirect
159. #10623140C22semidirect
160. #10623136C22semidirect
162. #10623131C22semidirect
163. #10623111C22semidirect
164. #10623111C22semidirect
165. #10623111C22semidirect
166. #10623111C22semidirect
167. #10623111C22semidirect
168. #10623111C22semidirect
169. #10623109C22semidirect
170. #10623109C22semidirect
171. C4×#4343C22semidirect
172. C4×#4343C22semidirect
173. C4×Q8×D11C22semidirect
174. #10623088C22semidirect
175. #10623088C22semidirect
176. #10623079C22semidirect
177. #10623078C22semidirect
178. #10623078C22semidirect
179. #10623078C22semidirect
180. #10623078C22semidirect
181. C4×D4×D11C22semidirect
182. C4×D4×D11C22semidirect
183. C4×D4×D11C22semidirect
184. #10623069C22semidirect
185. #10623059C22semidirect
186. #10623059C22semidirect
187. #10623059C22semidirect
188. #10623059C22semidirect
189. #10623059C22semidirect
190. #10623055C22semidirect
191. #10623055C22semidirect
192. #10623055C22semidirect
193. #10623053C22semidirect
194. D11×#117C22semidirect
195. D11×#117C22semidirect
196. #10623010C22semidirect
197. #10623010C22semidirect
198. #10623008C22semidirect
199. C4×#4339C22semidirect
200. C4×#4339C22semidirect
201. C2×C4×D44C22semidirect
202. C2×C42×D11C22semidirect
787. #3531D11semidirect
885. #564C2×D11semidirect
891. #563C2×D11semidirect
892. #563C2×D11semidirect
893. #563C2×D11semidirect
900. #562C2×D11semidirect
901. #562C2×D11semidirect
1005. #533C2×D11semidirect
1006. #533C2×D11semidirect
1035. #529C2×D11semidirect
1036. #529C2×D11semidirect
1037. #529C2×D11semidirect
1678. C11#62755semidirect

Maximal subgroups

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

subgroupindex
#130832972
#130832812
#130832312
#130831592
#130830732
#130830672
#130829742
#130829662
#130828272
#130828082
#130827632
#130827552
#130822222
#130821832
#130821722
#130820472
#130820262
#130819992
#130819132
D11×#5292
C11×#35312
#6275511