Finite Group Databasebeta

← #15662064

Subgroups — #15662064

Order 2816.

7190 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082721C214yesmaximal, complemented
2#13082715C214yesmaximal, complemented
3#13082631C212yesmaximal, complemented
4#13082625C212yesmaximal, complemented
5#13082620C212yesmaximal, complemented
6#13082614C212yesmaximal, complemented
7#13082470C211yesmaximal, characteristic, complemented
8#13082465C211yesmaximal, characteristic, complemented
9#13082459C214yesmaximal, complemented
10#13082421C211yesmaximal, characteristic, complemented
11#13082382C211yesmaximal, characteristic, complemented
12#13082333C212yesmaximal, complemented
13#13082328C214yesmaximal, complemented
14#13082270C212yesmaximal, complemented
15#13082242C212yesmaximal, complemented
16#13082240C212yesmaximal, complemented
17#13082234C212yesmaximal, complemented
18#13082231C212yesmaximal, complemented
19#13082209C214yesmaximal, complemented
20#13082207C214yesmaximal, complemented
21#13082034C214yesmaximal, complemented
22#13082032C212yesmaximal, complemented
23#13081912C211yesmaximal, characteristic, complemented
24#13081910C214yesmaximal, complemented
25C4×#67043C212yesmaximal, complemented
26C2×C4×#4339C211yesmaximal, characteristic, complemented
27C11×#3444C211yesmaximal, characteristic, complemented
28C2×#67043C2212yes—
29C22×#4339C2211yescharacteristic
30C11×#533C2211yescharacteristic
31C11×#533C2211yescharacteristic, complemented
32C11×#533C2211yescharacteristic, complemented
33C11×#532C2211yescharacteristic
34C11×#532C2211yescharacteristic, complemented
35C11×#532C2211yescharacteristic, complemented
36C11×#529C2212yes—
37C11×#529C2212yes—
38C11×#529C2212yescomplemented
39C11×#529C2212yescomplemented
40C11×#529C2212yescomplemented
41C11×#529C2212yescomplemented
42C11×#525C2212yes—
43C11×#525C2212yes—
44C11×#525C2212yes—
45C4×C11×#41C2212yes—
46C4×C11×#41C2212yescomplemented
47C4×C11×#41C2212yescomplemented
48C22×C42×C11C2211yescharacteristic
49#10623365C2214yescomplemented
50#10623364C2212yes—
51#10623363C2218yescomplemented
52#10623361C2212yes—
53#10623358C2212yes—
54#10623355C2214yescomplemented
55#10623322C2212yes—
56#10623322C2212yes—
57#10623322C2212yes—
58C2×C4×C22⋊D11C2212yes—
59C2×C4×C22⋊D11C2212yes—
60C2×#66979C2211yescharacteristic
61#10623265C2212yescomplemented
62#10623263C2212yescomplemented
63#10623258C2212yescomplemented
64#10623257C2212yescomplemented
65#10623253C2212yescomplemented
66#10623252C2212yescomplemented
67#10623249C2212yescomplemented
68#10623249C2212yescomplemented
69#10623240C2218yescomplemented
70#10623237C2218yescomplemented
71#10623237C2218yescomplemented
72#10623233C2218yescomplemented
73#10623226C2214yescomplemented
74#10623224C2218yescomplemented
75#10623222C2214yescomplemented
76#10623219C2214yescomplemented
77#10623216C2214yescomplemented
78#10623212C2214yescomplemented
79#10623211C2214yescomplemented
80#10623208C2214yescomplemented
81#10623201C2218yescomplemented
82#10623199C2214yescomplemented
83#10623195C2218yescomplemented
84#10623194C2218yescomplemented
85#10623193C2218yescomplemented
86#10623192C2218yescomplemented
87#10623187C2218yes—
88#10623180C2218yes—
89#10623175C2214yes—
90#10623172C2214yescomplemented
91#10623172C2214yescomplemented
92#10623171C2218yescomplemented
93#10623170C2214yescomplemented
94#10623164C2214yes—
95#10623164C2214yes—
96#10623162C2214yescomplemented
97#10623158C2214yes—
98#10623154C2214yes—
99#10623153C2214yes—
100#10623148C2214yes—
101#10623147C2214yescomplemented
102#10623147C2214yescomplemented
103#10623146C2218yescomplemented
104#10623145C2214yescomplemented
105#10623137C2214yes—
106#10623130C2214yes—
107#10623130C2214yes—
108#10623130C2214yescomplemented
109#10623128C2214yes—
110#10623127C2214yes—
111#10623124C2218yes—
112#10623123C2218yes—
113#10623116C2214yescomplemented
114#10623115C2212yescomplemented
115#10623113C2214yescomplemented
116#10623111C2214yescomplemented
117#10623109C2214yescomplemented
118#10623108C2212yescomplemented
119C4×#4343C2214yescomplemented
120#10623103C2214yescomplemented
121C4×Q8×D11C2214yescomplemented
122#10623099C2218yescomplemented
123#10623098C2214yescomplemented
124#10623098C2212yescomplemented
125Q8×Dic22C2212yescomplemented
126#10623096C2214yescomplemented
127#10623096C2214yescomplemented
128#10623094C2212yescomplemented
129#10623094C2214yescomplemented
130#10623093C2214yescomplemented
131#10623091C2218yes—
132#10623090C2218yescomplemented
133#10623086C2212yescomplemented
134#10623084C2214yes—
135#10623084C2214yes—
136#10623084C2212yescomplemented
137#10623083C2214yes—
138#10623083C2214yes—
139#10623083C2214yescomplemented
140#10623079C2214yescomplemented
141#10623079C2214yescomplemented
142#10623079C2218yescomplemented
143#10623078C2218yes—
144#10623077C2218yes—
145#10623077C2214yescomplemented
146#10623073C2214yescomplemented
147#10623072C2214yescomplemented
148#10623071C2218yescomplemented
149#10623071C2218yescomplemented
150#10623069C2218yescomplemented
151D4×Dic22C2212yescomplemented
152C4×#4341C2218yes—
153C4×#4341C2214yescomplemented
154C4×#4341C2214yescomplemented
155#10623066C2214yescomplemented
156#10623065C2214yescomplemented
157#10623064C2214yescomplemented
158#10623063C2214yescomplemented
159#10623063C2218yescomplemented
160#10623062C2218yescomplemented
161#10623059C2218yescomplemented
162#10623059C2218yescomplemented
163#10623056C2212yes—
164#10623054C2212yes—
165#10623054C2214yescomplemented
166#10623053C2218yescomplemented
167#10623050C2212yes—
168#10623047C2212yes—
169#10623047C2214yescomplemented
170#10623010C2212yes—
171#10623010C2212yes—
172#10623010C2212yescomplemented
173#10623010C2212yescomplemented
174#10623010C2212yescomplemented
175#10623010C2212yescomplemented
176#10623010C2214yescomplemented
177#10623008C2211yescharacteristic
178#10623008C2211yescharacteristic, complemented
179#10623008C2211yescharacteristic, complemented
180#10623008C2214yescomplemented
181C4×#4339C2212yes—
182C4×#4339C2212yes—
183C4×#4339C2212yes—
184C4×#4339C2212yes—
185C4×#4339C2212yes—
186C4×#4339C2212yes—
187C4×#4339C2212yes—
188C4×#4339C2212yes—
189C4×#4339C2212yes—
190C4×#4339C2212yescomplemented
191C4×#4339C2212yescomplemented
192C4×#4339C2214yescomplemented
193C2×C4×D44C2211yescharacteristic
194C2×C4×D44C2211yescharacteristic
195C2×#66925C2212yes—
196C2×C42×D11C2212yes—
197#10623001C2211yescharacteristic
198#10623001C2211yescharacteristic, complemented
199#10623001C2211yescharacteristic, complemented
200C2×C4×Dic22C2211yescharacteristic
201C2×C4×Dic22C2211yescharacteristic
202C2×C4×Dic22C2214yescomplemented
203C2×C11×#41C2312yes—
204C2×C11×#41C2312yes—
205C2×C11×#41C2312yes—
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C22×C22⋊D11C2312yes—
210#67043—216no—
211C2×#4343C2314yes—
212C2×Q8×D11C2314yes—
213C2×#4341C2314yes—
214C2×#4341C2318yes—
215C2×#4341C2314yes—
216C2×#4339—28no—
217C2×#4339C2312yes—
218C2×#4339C2312yes—
219C2×#4339C2312yes—
220C2×#4339C2312yes—
221C2×#4339C2312yes—
222C2×#4339C2314yes—
223C2×#4339C2312yes—
224C2×#4339C2312yes—
225C2×#4339C2318yes—
226C22×D44C2311yescharacteristic
227C22×C4×D11C2312yes—
228C22×C4×D11C2312yes—
229C22×C4×D11C2312yes—
230C22×Dic22C2314yes—
231C22×Dic22C2311yescharacteristic
232C11×C4⋊Q8C2311yescharacteristic
233C11×C4⋊Q8C2311yescharacteristic
234C11×C4⋊Q8C2311yescharacteristic
235C11×#127C2311yescharacteristic
236C11×#126C2314yes—
237C11×#126C2314yes—
238C11×#125C2312yes—
239C11×#125C2312yes—
240C11×#125C2312yes—
241C11×#124C2312yes—
242C11×#124C2312yes—
243C11×#124C2312yes—
244C11×#123C2314yes—
245C11×#123C2314yes—
246C11×#123C2314yes—
247C11×C22⋊Q8C2312yes—
248C11×C22⋊Q8C2312yes—
249C11×C22⋊Q8C2312yes—
250C11×C22⋊Q8C2312yes—
251C11×C22⋊Q8C2312yes—
252C11×C22⋊Q8C2312yes—
253C11×#121C2312yes—
254C11×#121C2312yes—
255C11×#121C2312yes—
256C11×#121C2312yes—
257C11×#121C2312yes—
258C11×#121C2312yes—
259C11×#120C2314yes—
260C4×Q8×C11C2312yes—
261C4×Q8×C11C2312yes—
262C4×Q8×C11C2312yes—
263C4×Q8×C11C2312yes—
264C4×Q8×C11C2312yes—
265C4×Q8×C11C2312yes—
266C4×D4×C11C2314yes—
267C4×D4×C11C2312yes—
268C4×D4×C11C2312yes—
269C4×D4×C11C2312yes—
270C4×D4×C11C2314yes—
271C4×D4×C11C2312yes—
272C4×D4×C11C2314yes—
273C4×D4×C11C2314yes—
274C4×D4×C11C2314yes—
275C4×D4×C11C2314yes—
276C4×D4×C11C2312yes—
277C4×D4×C11C2312yes—
278C11×#117C2312yes—
279C11×#117C2314yes—
280C11×#117C2314yes—
281C11×#117C2312yes—
282C11×#117C2314yes—
283C11×#117C2312yes—
284C2×C42×C11C2311yescharacteristic
285C2×C42×C11C2311yescharacteristic
286C2×C42×C11C2314yes—
287C2×C42×C11C2311yescharacteristic
288C2×C42×C11C2311yescharacteristic
289C2×C42×C11C2311yescharacteristic
290C2×C42×C11C2311yescharacteristic
291C2×C42×C11C2311yescharacteristic
292C2×C42×C11C2311yescharacteristic
293C2×C42×C11C2311yescharacteristic
294C2×C42×C11C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297#67006C2314yes—
298C2×C22⋊Dic11C2312yes—
299#67000C2314yes—
300#67000C2318yes—
301#66999C2314yes—
302#66999C2314yes—
303Q8×Dic11C2314yes—
304Q8×Dic11C2314yes—
305#66997C2314yes—
306#66997C2318yes—
307#66993C2314yes—
308#66993C2314yes—
309#66993C2318yes—
310#66993C2318yes—
311#66992C2318yes—
312#66992C2318yes—
313#66992C2318yes—
314#66992C2318yes—
315#66992C2318yes—
316#66992C2318yes—
317#66991C2314yes—
318#66991C2314yes—
319#66991C2318yes—
320#66990C2318yes—
321#66989C2318yes—
322#66988C2318yes—
323D4×Dic11C2314yes—
324D4×Dic11C2314yes—
325D4×Dic11C2318yes—
326#66983C2312yes—
327#66983C2312yes—
328#66983C2312yes—
329#66983C2312yes—
330#66983C2312yes—
331#66983C2312yes—
332#66983C2318yes—
333#66983C2314yes—
334#66983C2314yes—
335#66983C2314yes—
336#66982C2314yes—
337#66982C2314yes—
338#66982C2314yes—
339#66982C2318yes—
340C4×C22⋊D11C2314yes—
341C4×C22⋊D11C2314yes—
342C4×C22⋊D11C2314yes—
343C4×C22⋊D11C2314yes—
344C4×C22⋊D11C2314yes—
345C4×C22⋊D11C2314yes—
346C4×C22⋊D11C2314yes—
347C4×C22⋊D11C2314yes—
348C4×C22⋊D11C2314yes—
349C4×C22⋊D11C2314yes—
350C4×C22⋊D11C2314yes—
351C4×C22⋊D11C2314yes—
352C4×C22⋊D11C2314yes—
353C4×C22⋊D11C2314yes—
354C4×C22⋊D11C2318yes—
355C4×C22⋊D11C2318yes—
356C4×C22⋊D11C2318yes—
357C2×(C2×D11)⋊C4C2312yes—
358C2×(C2×D11)⋊C4C2312yes—
359#66979C2312yes—
360#66979C2312yes—
361#66979C2312yes—
362#66979C2312yes—
363#66979C2312yes—
364#66979C2312yes—
365#66979C2312yes—
366#66979C2314yes—
367C2×C4⋊Dic11C2311yescharacteristic
368C2×C4⋊Dic11C2311yescharacteristic
369C2×C4⋊Dic11C2314yes—
370#66977C2312yes—
371#66977C2312yes—
372#66977C2312yes—
373#66977C2312yes—
374#66977C2312yes—
375#66977C2312yes—
376#66977C2314yes—
377C2×Dic11⋊C4C2312yes—
378C2×Dic11⋊C4C2312yes—
379C2×Dic11⋊C4C2318yes—
380C2×C4×Dic11C2312yes—
381C2×C4×Dic11C2312yes—
382C2×C4×Dic11C2318yes—
383C2×C4×Dic11C2312yes—
384#66951C2318yes—
385#66951C2318yes—
386#66951C2318yes—
387#66951C2318yes—
388#66950C2314yes—
389#66949C2318yes—
390#66949C2318yes—
391#66949C2318yes—
392#66949C2318yes—
393#66948C2318yes—
394#66948C2314yes—
395#66948C2314yes—
396#66948C2314yes—
397#66947C2318yes—
398#66947C2318yes—
399#66947C2318yes—
400#66947C2318yes—
401#66946C2318yes—
402#66946C2318yes—
403#66946C2318yes—
404#66946C2314yes—
405#66945C2318yes—
406#66945C2318yes—
407#66945C2314yes—
408#66945C2314yes—
409#66945C2314yes—
410C4⋊C4×D11C2318yes—
411C4⋊C4×D11C2314yes—
412#66943C2314yes—
413#66942C2318yes—
414#66942C2318yes—
415#66942C2318yes—
416#66942C2318yes—
417#66941C2318yes—
418#66941C2314yes—
419#66941C2314yes—
420#66941C2314yes—
421#66940C2318yes—
422#66940C2318yes—
423#66940C2318yes—
424#66940C2318yes—
425#66940C2314yes—
426#66940C2314yes—
427#66940C2314yes—
428#66939C2318yes—
429#66938C2318yes—
430#66938C2318yes—
431#66938C2318yes—
432#66938C2318yes—
433#66938C2318yes—
434#66938C2318yes—
435#66938C2318yes—
436#66937C2318yes—
437#66937C2318yes—
438#66937C2318yes—
439#66937C2318yes—
440#66937C2318yes—
441#66937C2318yes—
442#66937C2318yes—
443#66936C2318yes—
444#66936C2318yes—
445#66936C2318yes—
446#66935C2318yes—
447(C22⋊D11)⋊C4C2318yes—
448(C22⋊D11)⋊C4C2318yes—
449(C22⋊D11)⋊C4C2318yes—
450(C22⋊D11)⋊C4C2318yes—
451(C22⋊D11)⋊C4C2318yes—
452(C22⋊D11)⋊C4C2318yes—
453(C22⋊D11)⋊C4C2318yes—
454(C22⋊D11)⋊C4C2318yes—
455#66932C2318yes—
456#66932C2318yes—
457#66932C2318yes—
458#66931C2318yes—
459#66931C2318yes—
460#66930C2318yes—
461#66930C2318yes—
462#66930C2318yes—
463#66930C2318yes—
464#66929C2314yes—
465#66929C2314yes—
466#66929C2318yes—
467#66928C2312yes—
468#66928C2312yes—
469#66928C2312yes—
470#66928C2318yes—
471#66928C2314yes—
472#66927C2311yescharacteristic
473#66927C2314yes—
474C4×D44C2312yes—
475C4×D44C2312yes—
476C4×D44C2312yes—
477C4×D44C2312yes—
478C4×D44C2312yes—
479C4×D44C2312yes—
480C4×D44C2312yes—
481C4×D44C2312yes—
482C4×D44C2312yes—
483C4×D44C2312yes—
484C4×D44C2312yes—
485C4×D44C2312yes—
486C4×D44C2312yes—
487C4×D44C2312yes—
488C4×D44C2314yes—
489C4×D44C2318yes—
490#66925C2314yes—
491#66925C2314yes—
492#66925C2314yes—
493#66925C2314yes—
494#66925C2314yes—
495#66925C2314yes—
496#66925C2314yes—
497#66925C2318yes—
498#66925C2318yes—
499C42×D11C2314yes—
500C42×D11C2314yes—
501C42×D11C2314yes—
502C42×D11C2314yes—
503C42×D11C2314yes—
504C42×D11C2318yes—
505#66923C2312yes—
506#66923C2312yes—
507#66923C2312yes—
508#66923C2314yes—
509#66922C2311yescharacteristic
510#66922C2311yescharacteristic
511#66922C2311yescharacteristic
512#66922C2314yes—
513C4×Dic22C2312yes—
514C4×Dic22C2312yes—
515C4×Dic22C2312yes—
516C4×Dic22C2312yes—
517C4×Dic22C2312yes—
518C4×Dic22C2312yes—
519C4×Dic22C2312yes—
520C4×Dic22C2312yes—
521C4×Dic22C2312yes—
522C4×Dic22C2312yes—
523C4×Dic22C2312yes—
524C4×Dic22C2314yes—
525C4×Dic22C2314yes—
526C4×Dic22C2318yes—
527C4×Dic22C2318yes—
528C4×Dic22C2312yes—
529C4×Dic22C2312yes—
530C4×Dic22C2312yes—
531C4×Dic22C2314yes—
532#62793—111nomaximal, Sylow
533C24×C11C2411yescharacteristic
534C23×D11C2412yes—
535C11×#41—28no—
536C11×#41—44no—
537C11×#41—44no—
538C2×Q8×C11C2412yes—
539C2×Q8×C11C2412yes—
540C2×Q8×C11C2412yes—
541C2×D4×C11C2414yes—
542C2×D4×C11C2412yes—
543C2×D4×C11C2412yes—
544C2×D4×C11C2414yes—
545C2×D4×C11C2414yes—
546C2×D4×C11C2412yes—
547C22×C4×C11—24no—
548C22×C4×C11—42no—
549C22×C4×C11—42no—
550C22×C4×C11C2411yescharacteristic
551C22×C4×C11C2411yescharacteristic
552C22×C4×C11C2414yes—
553C22×C4×C11C2411yescharacteristic
554C22×C4×C11C2411yescharacteristic
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2411yescharacteristic
557C22×C4×C11C2414yes—
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2414yes—
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2411yescharacteristic
571C2×C22⋊D11—28no—
572C2×C22⋊D11C2414yes—
573C2×C22⋊D11C2418yes—
574C2×C22⋊D11C2414yes—
575C2×C22⋊D11C2414yes—
576C2×C22⋊D11C2418yes—
577C2×C22⋊D11C2418yes—
578C2×C22⋊D11C2418yes—
579C2×C22⋊D11C2414yes—
580C2×C22⋊D11C2414yes—
581C22×Dic11C2418yes—
582C22×Dic11C2418yes—
583C22×Dic11C2412yes—
584C22×Dic11C2412yes—
585C22×Dic11C2412yes—
586#4343—48no—
587Q8×D11—216no—
588#4341—232no—
589#4341—216no—
590#4341—48no—
591#4339—28no—
592#4339—28no—
593#4339—28no—
594#4339—28no—
595#4339—216no—
596#4339—28no—
597#4339—44no—
598#4339—44no—
599#4339—416no—
600C2×D44—24no—
601C2×D44C2412yes—
602C2×D44C2412yes—
603C2×D44C2412yes—
604C2×D44C2412yes—
605C2×D44C2412yes—
606C2×D44C2418yes—
607C2×D44C2418yes—
608C2×C4×D11—28no—
609C2×C4×D11—44no—
610C2×C4×D11—44no—
611C2×C4×D11C2414yes—
612C2×C4×D11C2414yes—
613C2×C4×D11C2414yes—
614C2×C4×D11C2414yes—
615C2×C4×D11C2414yes—
616C2×C4×D11C2414yes—
617C2×C4×D11C2418yes—
618C2×C4×D11C2414yes—
619C2×C4×D11C2414yes—
620C2×C4×D11C2414yes—
621C2×C4×D11C2418yes—
622C2×Dic22—216no—
623C2×Dic22#4118yescomplemented
624C2×Dic22C2412yes—
625C2×Dic22C2412yes—
626C2×Dic22C2418yes—
627C2×Dic22C2412yes—
628C2×Dic22C2418yes—
629C2×Dic22C2412yes—
630C2×Dic22C2412yes—
631C11×C4⋊C4C2412yes—
632C11×C4⋊C4C2412yes—
633C11×C4⋊C4C2414yes—
634C11×C4⋊C4C2412yes—
635C11×C4⋊C4C2414yes—
636C11×C4⋊C4C2414yes—
637C11×C4⋊C4C2414yes—
638C11×C4⋊C4C2414yes—
639C11×C4⋊C4C2412yes—
640C11×C4⋊C4C2412yes—
641C11×C4⋊C4C2414yes—
642C11×C4⋊C4C2412yes—
643C11×C22⋊C4C2414yes—
644C11×C22⋊C4C2414yes—
645C11×C22⋊C4C2414yes—
646C11×C22⋊C4C2414yes—
647C11×C22⋊C4C2414yes—
648C11×C22⋊C4C2414yes—
649C11×C22⋊C4C2414yes—
650C11×C22⋊C4C2414yes—
651C11×C22⋊C4C2414yes—
652C42×C11C2411yescharacteristic
653C42×C11C2411yescharacteristic
654C42×C11C2411yescharacteristic
655C42×C11C2411yescharacteristic
656C42×C11C2414yes—
657C42×C11C2411yescharacteristic
658C42×C11C2411yescharacteristic
659C42×C11C2411yescharacteristic
660C42×C11C2411yescharacteristic
661C42×C11C2414yes—
662C42×C11C2411yescharacteristic
663C42×C11C2411yescharacteristic
664C42×C11C2414yes—
665C42×C11C2411yescharacteristic
666C42×C11C2411yescharacteristic
667C42×C11C2411yescharacteristic
668C42×C11C2411yescharacteristic
669C42×C11C2411yescharacteristic
670C42×C11C2411yescharacteristic
671C22⋊Dic11C2414yes—
672C22⋊Dic11C2418yes—
673C22⋊Dic11C2418yes—
674C22⋊Dic11C2414yes—
675C22⋊Dic11C2414yes—
676C22⋊Dic11C2414yes—
677C22⋊Dic11C2414yes—
678(C2×D11)⋊C4C2414yes—
679(C2×D11)⋊C4C2414yes—
680(C2×D11)⋊C4C2414yes—
681(C2×D11)⋊C4C2414yes—
682(C2×D11)⋊C4C2414yes—
683(C2×D11)⋊C4C2414yes—
684(C2×D11)⋊C4C2414yes—
685(C2×D11)⋊C4C2414yes—
686(C2×D11)⋊C4C2414yes—
687(C2×D11)⋊C4C2414yes—
688(C2×D11)⋊C4C2418yes—
689(C2×D11)⋊C4C2418yes—
690(C2×D11)⋊C4C2418yes—
691(C2×D11)⋊C4C2418yes—
692(C2×D11)⋊C4C2418yes—
693(C2×D11)⋊C4C2418yes—
694C4⋊Dic11C2412yes—
695C4⋊Dic11C2412yes—
696C4⋊Dic11C2412yes—
697C4⋊Dic11C2412yes—
698C4⋊Dic11C2412yes—
699C4⋊Dic11C2412yes—
700C4⋊Dic11C2418yes—
701C4⋊Dic11C2412yes—
702C4⋊Dic11C2412yes—
703C4⋊Dic11C2412yes—
704C4⋊Dic11C2412yes—
705C4⋊Dic11C2418yes—
706Dic11⋊C4C2414yes—
707Dic11⋊C4C2414yes—
708Dic11⋊C4C2414yes—
709Dic11⋊C4C2414yes—
710Dic11⋊C4C2414yes—
711Dic11⋊C4C2418yes—
712Dic11⋊C4C2418yes—
713Dic11⋊C4C2414yes—
714Dic11⋊C4C2414yes—
715Dic11⋊C4C2414yes—
716Dic11⋊C4C2414yes—
717Dic11⋊C4C2414yes—
718Dic11⋊C4C2418yes—
719Dic11⋊C4C2418yes—
720Dic11⋊C4C2418yes—
721Dic11⋊C4C2418yes—
722C4×Dic11C2414yes—
723C4×Dic11C2414yes—
724C4×Dic11C2414yes—
725C4×Dic11C2414yes—
726C4×Dic11C2414yes—
727C4×Dic11C2414yes—
728C4×Dic11C2414yes—
729C4×Dic11C2418yes—
730C4×Dic11C2418yes—
731C4×Dic11C2418yes—
732C4×Dic11C2414yes—
733C4×Dic11C2414yes—
734C4×Dic11C2418yes—
735#3524—114no—
736#3524—114no—
737#3518—112no—
738#3518—112no—
739#3517—112no—
740#3517—112no—
741#3506—111no—
742#3506—111no—
743#3506—114no—
744#3502—111no—
745#3497—111no—
746#3493—114no—
747#3493—112no—
748#3487—112no—
749#3483—112no—
750#3483—112no—
751#3482—112no—
752#3482—112no—
753#3480—114no—
754#3480—114no—
755#3460—114no—
756#3460—112no—
757#3444—111no—
758#3444—114no—
759#3444D1111yescharacteristic, complemented
760C4×2−1+4—112no—
761C2×C4×#41—111no—
762C23×C11—22no—
763C23×C11—41no—
764C23×C11—41no—
765C23×C11C2511yescharacteristic
766C23×C11C2511yescharacteristic
767C23×C11C2514yes—
768C23×C11C2511yescharacteristic
769C22×D11—24no—
770C22×D11—42no—
771C22×D11—42no—
772C22×D11C2514yes—
773C22×D11C2514yes—
774Q8×C11—24no—
775Q8×C11—24no—
776Q8×C11—42no—
777D4×C11—28no—
778D4×C11—24no—
779D4×C11—24no—
780D4×C11—42no—
781D4×C11—44no—
782D4×C11—44no—
783C2×C4×C11—22no—
784C2×C4×C11—28no—
785C2×C4×C11—22no—
786C2×C4×C11—22no—
787C2×C4×C11—22no—
788C2×C4×C11—22no—
789C2×C4×C11—22no—
790C2×C4×C11—22no—
791C2×C4×C11—22no—
792C2×C4×C11—22no—
793C2×C4×C11—28no—
794C2×C4×C11—22no—
795C2×C4×C11—22no—
796C2×C4×C11—41no—
797C2×C4×C11—41no—
798C2×C4×C11—41no—
799C2×C4×C11—41no—
800C2×C4×C11—41no—
801C2×C4×C11—41no—
802C2×C4×C11—44no—
803C2×C4×C11C2×#4114yes—
804C2×C4×C11C2511yescharacteristic
805C2×C4×C11C2511yescharacteristic
806C2×C4×C11C2511yescharacteristic
807C2×C4×C11C2511yescharacteristic
808C2×C4×C11C2511yescharacteristic
809C2×C4×C11C2514yes—
810C2×C4×C11C2514yes—
811C2×C4×C11C2514yes—
812C2×C4×C11C2511yescharacteristic
813C2×C4×C11C2511yescharacteristic
814C2×C4×C11C2511yescharacteristic
815C2×C4×C11C2511yescharacteristic
816C2×C4×C11C2511yescharacteristic
817C2×C4×C11C2511yescharacteristic
818C2×C4×C11C2511yescharacteristic
819C22⋊D11—28no—
820C22⋊D11—28no—
821C22⋊D11—28no—
822C22⋊D11—216no—
823C22⋊D11—44no—
824C22⋊D11—48no—
825C22⋊D11—44no—
826C22⋊D11—48no—
827C22⋊D11—48no—
828C2×Dic11—216no—
829C2×Dic11—42no—
830C2×Dic11—42no—
831C2×Dic11—48no—
832C2×Dic11C2×#4118yes—
833C2×Dic11C2514yes—
834C2×Dic11C2514yes—
835C2×Dic11C2514yes—
836C2×Dic11C2514yes—
837C2×Dic11C2514yes—
838C2×Dic11C2514yes—
839D44—24no—
840D44—24no—
841D44—24no—
842D44—24no—
843D44—42no—
844D44—48no—
845D44—48no—
846C4×D11—28no—
847C4×D11—28no—
848C4×D11—28no—
849C4×D11—28no—
850C4×D11—28no—
851C4×D11—28no—
852C4×D11—216no—
853C4×D11—44no—
854C4×D11—44no—
855C4×D11—44no—
856C4×D11—48no—
857Dic22—24no—
858Dic22—24no—
859Dic22—216no—
860Dic22—42no—
861Dic22—48no—
862Dic22C2×#4118yes—
863Dic22C2×#4118yes—
864C2×2−1+4—112no—
865C22×#41—111no—
866#559—114no—
867#559—118no—
868#559—114no—
869#559—118no—
870Q82—112no—
871Q82—112no—
872#557—112no—
873#557—114no—
874#557—114no—
875#557—112no—
876#556—112no—
877#556—118no—
878#556—114no—
879#556—114no—
880#556—118no—
881#556—112no—
882#556—114no—
883#556—114no—
884#555—112no—
885#555—118no—
886#555—114no—
887#555—114no—
888#555—114no—
889#555—112no—
890#555—118no—
891#555—114no—
892#553—118no—
893#553—114no—
894#553—118no—
895#553—114no—
896#553—118no—
897#553—118no—
898#553—114no—
899#553—114no—
900#552—118no—
901#552—114no—
902#552—114no—
903#552—118no—
904#550—114no—
905#550—112no—
906#550—112no—
907#550—114no—
908#550—114no—
909#550—114no—
910#550—112no—
911#550—114no—
912#550—114no—
913#550—112no—
914D4×Q8—112no—
915D4×Q8—112no—
916#548—114no—
917#548—114no—
918#548—114no—
919#548—114no—
920#548—114no—
921#548—114no—
922#547—114no—
923#547—112no—
924#547—114no—
925#547—112no—
926#544—114no—
927#544—112no—
928#542—118no—
929#542—118no—
930#542—114no—
931#542—114no—
932#540—118no—
933#540—118no—
934#540—114no—
935#540—114no—
936#538—114no—
937#538—114no—
938#538—118no—
939#538—118no—
940#537—112no—
941#537—114no—
942#535—112no—
943#535—118no—
944#535—112no—
945#533—114no—
946#533—114no—
947#533—114no—
948#533—111no—
949#533—111no—
950#533—111no—
951#533C2×D1111yescharacteristic
952#533C2×D1111yescharacteristic, complemented
953#533C2×D1111yescharacteristic, complemented
954#532—118no—
955#532—114no—
956#532—114no—
957#532—114no—
958#532—118no—
959#532—114no—
960#532—111no—
961#532—111no—
962#532—111no—
963#532—114no—
964#532C2×D1111yescharacteristic
965#532C2×D1111yescharacteristic, complemented
966#532C2×D1111yescharacteristic, complemented
967#529—118no—
968#529—118no—
969#529—114no—
970#529—114no—
971#529—118no—
972#529—114no—
973#529—118no—
974#529—118no—
975#529—118no—
976#529—112no—
977#529—112no—
978#529—112no—
979#529—112no—
980#529—112no—
981#529—112no—
982#529—114no—
983#529C2×D1112yes—
984#529C2×D1112yes—
985#529C2×D1112yescomplemented
986#529C2×D1112yescomplemented
987#529C2×D1112yescomplemented
988#529C2×D1112yescomplemented
989#525—112no—
990#525—112no—
991#525—112no—
992#525—118no—
993#525—114no—
994#525—114no—
995#525—118no—
996#525C2×D1112yes—
997#525C2×D1112yes—
998#525C2×D1112yes—
999#520—112no—
1000#520—118no—
1001#520—114no—
1002#520—112no—
1003#520—114no—
1004#519—114no—
1005#519—112no—
1006#519—114no—
1007C4×#41—114no—
1008C4×#41—118no—
1009C4×#41—114no—
1010C4×#41—114no—
1011C4×#41—118no—
1012C4×#41—112no—
1013C4×#41—112no—
1014C4×#41—112no—
1015C4×#41—112no—
1016C4×#41—112no—
1017C4×#41—112no—
1018C4×#41—112no—
1019C4×#41—112no—
1020C4×#41—112no—
1021C4×#41—114no—
1022C4×#41—112no—
1023C4×#41—112no—
1024C4×#41C2×D1112yes—
1025C4×#41C2×D1112yescomplemented
1026C4×#41C2×D1112yescomplemented
1027C2×C4×Q8—114no—
1028C2×C4×Q8—111no—
1029C2×C4×Q8—111no—
1030C2×C4×Q8—114no—
1031C2×C4×D4—112no—
1032C2×C4×D4—112no—
1033C2×C4×D4—111no—
1034C2×C4×D4—111no—
1035C2×#117—111no—
1036C2×#117—112no—
1037C22×C42—112no—
1038C22×C42C2×D1111yescharacteristic
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—21no—
1042C22×C11—21no—
1043C22×C11—24no—
1044C22×C11—21no—
1045C22×C11—21no—
1046C22×C11—21no—
1047C22×C11—21no—
1048C22×C11—24no—
1049C22×C11—24no—
1050C22×C11—44no—
1051C22×C11C22×#4112yes—
1052C22×C11C2611yescharacteristic
1053C2×D11—24no—
1054C2×D11—24no—
1055C2×D11—24no—
1056C2×D11—24no—
1057C2×D11—24no—
1058C2×D11—24no—
1059C2×D11—48no—
1060C4×C11—21no—
1061C4×C11—21no—
1062C4×C11—24no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—21no—
1067C4×C11—21no—
1068C4×C11—21no—
1069C4×C11—24no—
1070C4×C11—24no—
1071C4×C11C22×#4112yes—
1072C4×C11C22×#4112yes—
1073C4×C11#58512yes—
1074C4×C11#58512yes—
1075Dic11—24no—
1076Dic11—24no—
1077Dic11—24no—
1078Dic11—24no—
1079Dic11—24no—
1080Dic11C22×#4118yes—
10812−1+4—2216no—
1082C2×#41—114no—
1083C2×#41—118no—
1084C2×#41—114no—
1085C2×#41—114no—
1086C2×#41—112no—
1087C2×#41—112no—
1088C2×#41—112no—
1089C2×#41—112no—
1090C2×#41—112no—
1091C2×#41—114no—
1092C2×#41—112no—
1093C2×#41—118no—
1094C2×#41—112no—
1095C2×#41—228no—
1096C2×#41C22×D1112yes—
1097C2×#41C22×D1112yes—
1098C2×#41C22×D1112yes—
1099C22×Q8—114no—
1100C22×Q8—111no—
1101C22×Q8—114no—
1102C22×D4—112no—
1103C22×D4—111no—
1104C23×C4—112no—
1105C23×C4—112no—
1106C23×C4—112no—
1107C23×C4C22×D1111yescharacteristic
1108C23×C4C22×D1111yescharacteristic
1109C23×C4C22×D1111yescharacteristic
1110C4⋊Q8—114no—
1111C4⋊Q8—118no—
1112C4⋊Q8—114no—
1113C4⋊Q8—114no—
1114C4⋊Q8—118no—
1115C4⋊Q8—114no—
1116C4⋊Q8—111no—
1117C4⋊Q8—111no—
1118C4⋊Q8—111no—
1119C4⋊Q8—114no—
1120C4⋊Q8C22×D1111yescharacteristic
1121C4⋊Q8C22×D1111yescharacteristic
1122C4⋊Q8C22×D1111yescharacteristic
1123#127—114no—
1124#127—118no—
1125#127—118no—
1126#127—114no—
1127#127—111no—
1128#127—114no—
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—114no—
1138#126—114no—
1139#126—118no—
1140#126C22×D1114yes—
1141#126C22×D1114yes—
1142#125—118no—
1143#125—118no—
1144#125—118no—
1145#125—118no—
1146#125—114no—
1147#125—112no—
1148#125—112no—
1149#125—112no—
1150#125—114no—
1151#125C22×D1112yes—
1152#125C22×D1112yes—
1153#125C22×D1112yes—
1154#124—114no—
1155#124—118no—
1156#124—118no—
1157#124—118no—
1158#124—118no—
1159#124—118no—
1160#124—118no—
1161#124—118no—
1162#124—118no—
1163#124—118no—
1164#124—112no—
1165#124—112no—
1166#124—112no—
1167#124—114no—
1168#124—118no—
1169#124C22×D1112yes—
1170#124C22×D1112yes—
1171#124C22×D1112yes—
1172#123—118no—
1173#123—114no—
1174#123—114no—
1175#123—114no—
1176#123—118no—
1177#123—118no—
1178#123—118no—
1179#123—118no—
1180#123—118no—
1181#123—118no—
1182#123—118no—
1183#123—118no—
1184#123—118no—
1185#123C22×D1114yes—
1186#123C22×D1114yes—
1187#123C22×D1114yes—
1188C22⋊Q8—114no—
1189C22⋊Q8—114no—
1190C22⋊Q8—112no—
1191C22⋊Q8—112no—
1192C22⋊Q8—112no—
1193C22⋊Q8—112no—
1194C22⋊Q8—112no—
1195C22⋊Q8—112no—
1196C22⋊Q8—114no—
1197C22⋊Q8—118no—
1198C22⋊Q8—114no—
1199C22⋊Q8—118no—
1200C22⋊Q8—118no—
1201C22⋊Q8—118no—
1202C22⋊Q8—118no—
1203C22⋊Q8—118no—
1204C22⋊Q8C22×D1112yes—
1205C22⋊Q8C22×D1112yes—
1206C22⋊Q8C22×D1112yes—
1207C22⋊Q8C22×D1112yes—
1208C22⋊Q8C22×D1112yes—
1209C22⋊Q8C22×D1112yes—
1210#121—118no—
1211#121—114no—
1212#121—118no—
1213#121—118no—
1214#121—114no—
1215#121—118no—
1216#121—118no—
1217#121—118no—
1218#121—118no—
1219#121—112no—
1220#121—112no—
1221#121—112no—
1222#121—112no—
1223#121—112no—
1224#121—112no—
1225#121—114no—
1226#121—114no—
1227#121—114no—
1228#121—118no—
1229#121—114no—
1230#121—114no—
1231#121—114no—
1232#121—118no—
1233#121—118no—
1234#121—118no—
1235#121—118no—
1236#121—118no—
1237#121—118no—
1238#121—118no—
1239#121—118no—
1240#121C22×D1112yes—
1241#121C22×D1112yes—
1242#121C22×D1112yes—
1243#121C22×D1112yes—
1244#121C22×D1112yes—
1245#121C22×D1112yes—
1246#120—114no—
1247#120—118no—
1248#120—118no—
1249#120C22×D1114yes—
1250C4×Q8—114no—
1251C4×Q8—114no—
1252C4×Q8—114no—
1253C4×Q8—118no—
1254C4×Q8—118no—
1255C4×Q8—114no—
1256C4×Q8—114no—
1257C4×Q8—118no—
1258C4×Q8—118no—
1259C4×Q8—112no—
1260C4×Q8—112no—
1261C4×Q8—118no—
1262C4×Q8—112no—
1263C4×Q8—112no—
1264C4×Q8—112no—
1265C4×Q8—112no—
1266C4×Q8—112no—
1267C4×Q8—112no—
1268C4×Q8—112no—
1269C4×Q8—114no—
1270C4×Q8—114no—
1271C4×Q8—118no—
1272C4×Q8—112no—
1273C4×Q8—112no—
1274C4×Q8—114no—
1275C4×Q8—112no—
1276C4×Q8—112no—
1277C4×Q8—112no—
1278C4×Q8C22×D1112yes—
1279C4×Q8C22×D1112yes—
1280C4×Q8C22×D1112yes—
1281C4×Q8C22×D1112yes—
1282C4×Q8C22×D1112yes—
1283C4×Q8C22×D1112yes—
1284C4×D4—118no—
1285C4×D4—114no—
1286C4×D4—114no—
1287C4×D4—114no—
1288C4×D4—114no—
1289C4×D4—114no—
1290C4×D4—114no—
1291C4×D4—114no—
1292C4×D4—114no—
1293C4×D4—114no—
1294C4×D4—114no—
1295C4×D4—114no—
1296C4×D4—118no—
1297C4×D4—114no—
1298C4×D4—118no—
1299C4×D4—114no—
1300C4×D4—118no—
1301C4×D4—114no—
1302C4×D4—114no—
1303C4×D4—114no—
1304C4×D4—118no—
1305C4×D4—118no—
1306C4×D4—118no—
1307C4×D4—114no—
1308C4×D4—118no—
1309C4×D4—118no—
1310C4×D4—118no—
1311C4×D4—118no—
1312C4×D4—118no—
1313C4×D4—118no—
1314C4×D4—118no—
1315C4×D4—118no—
1316C4×D4—112no—
1317C4×D4—112no—
1318C4×D4—112no—
1319C4×D4—112no—
1320C4×D4—112no—
1321C4×D4—112no—
1322C4×D4—112no—
1323C4×D4—112no—
1324C4×D4—112no—
1325C4×D4—112no—
1326C4×D4—112no—
1327C4×D4—114no—
1328C4×D4—118no—
1329C4×D4—112no—
1330C4×D4—112no—
1331C4×D4—112no—
1332C4×D4C22×D1114yes—
1333C4×D4C22×D1112yes—
1334C4×D4C22×D1112yes—
1335C4×D4C22×D1114yes—
1336C4×D4C22×D1112yes—
1337C4×D4C22×D1114yes—
1338C4×D4C22×D1114yes—
1339C4×D4C22×D1114yes—
1340C4×D4C22×D1114yes—
1341C4×D4C22×D1112yes—
1342C4×D4C22×D1112yes—
1343C4×D4C22×D1112yes—
1344#117—112no—
1345#117—112no—
1346#117—112no—
1347#117—112no—
1348#117—112no—
1349#117—114no—
1350#117—112no—
1351#117—112no—
1352#117—118no—
1353#117—114no—
1354#117—114no—
1355#117—114no—
1356#117—118no—
1357#117—118no—
1358#117—118no—
1359#117—118no—
1360#117—118no—
1361#117—114no—
1362#117—114no—
1363#117—114no—
1364#117—114no—
1365#117—114no—
1366#117—114no—
1367#117—118no—
1368#117—118no—
1369#117—114no—
1370#117C22×D1114yes—
1371#117C22×D1112yes—
1372#117C22×D1114yes—
1373#117C22×D1112yes—
1374#117C22×D1112yes—
1375#117C22×D1114yes—
1376C2×C4⋊C4—112no—
1377C2×C4⋊C4—111no—
1378C2×C4⋊C4—112no—
1379C2×C4⋊C4—111no—
1380C2×C4⋊C4—118no—
1381C2×C4⋊C4—114no—
1382C2×C4⋊C4—118no—
1383C2×C4⋊C4—114no—
1384C2×C22⋊C4—112no—
1385C2×C22⋊C4—112no—
1386C2×C22⋊C4—112no—
1387C2×C42—112no—
1388C2×C42—112no—
1389C2×C42—112no—
1390C2×C42—118no—
1391C2×C42—118no—
1392C2×C42—114no—
1393C2×C42—114no—
1394C2×C42—114no—
1395C2×C42—114no—
1396C2×C42—114no—
1397C2×C42C22×D1111yescharacteristic
1398C2×C42C22×D1111yescharacteristic
1399C2×C42C22×D1111yescharacteristic
1400C2×C42C22×D1114yes—
1401C2×C42C22×D1111yescharacteristic
1402C2×C42C22×D1111yescharacteristic
1403C2×C42C22×D1111yescharacteristic
1404C2×C42C22×D1111yescharacteristic
1405C2×C42C22×D1111yescharacteristic
1406C2×C42C22×D1111yescharacteristic
1407C2×C42C22×D1111yescharacteristic
1408C2×C42C22×D1111yescharacteristic
1409C2×C42C22×D1111yescharacteristic
1410C2×C11—22no—
1411C2×C11—44no—
1412C2×C11—41no—
1413C2×C11—41no—
1414C2×C11C23×#4111yescharacteristic
1415C2×C11C2×#58511yescharacteristic
1416C2×C11C2×#58511yescharacteristic
1417D11—44no—
1418D11—44no—
1419C24—112no—
1420C24C23×D1111yescharacteristic
1421#41—28no—
1422#41—44no—
1423#41—44no—
1424#41—228no—
1425#41—228no—
1426#41—228no—
1427#41—228no—
1428#41—2216no—
1429#41—2232no—
1430#41—2216no—
1431#41—228no—
1432#41—444no—
1433#41—4416no—
1434#41—444no—
1435#41—448no—
1436#41—448no—
1437C2×Q8—118no—
1438C2×Q8—112no—
1439C2×Q8—112no—
1440C2×Q8—118no—
1441C2×Q8—112no—
1442C2×Q8—112no—
1443C2×Q8—112no—
1444C2×Q8—118no—
1445C2×Q8—2216no—
1446C2×Q8—2216no—
1447C2×Q8C23×D1112yes—
1448C2×Q8C23×D1112yes—
1449C2×Q8C23×D1112yes—
1450C2×D4—114no—
1451C2×D4—114no—
1452C2×D4—114no—
1453C2×D4—118no—
1454C2×D4—118no—
1455C2×D4—114no—
1456C2×D4—118no—
1457C2×D4—114no—
1458C2×D4—118no—
1459C2×D4—112no—
1460C2×D4—112no—
1461C2×D4—112no—
1462C2×D4—112no—
1463C2×D4—118no—
1464C2×D4—118no—
1465C2×D4—112no—
1466C2×D4—228no—
1467C2×D4—224no—
1468C2×D4C23×D1114yes—
1469C2×D4C23×D1112yes—
1470C2×D4C23×D1112yes—
1471C2×D4C23×D1114yes—
1472C2×D4C23×D1114yes—
1473C2×D4C23×D1112yes—
1474C22×C4—24no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—112no—
1478C22×C4—118no—
1479C22×C4—112no—
1480C22×C4—112no—
1481C22×C4—118no—
1482C22×C4—114no—
1483C22×C4—114no—
1484C22×C4—114no—
1485C22×C4—118no—
1486C22×C4—114no—
1487C22×C4—114no—
1488C22×C4—114no—
1489C22×C4—114no—
1490C22×C4—114no—
1491C22×C4—118no—
1492C22×C4—114no—
1493C22×C4—228no—
1494C22×C4—444no—
1495C22×C4—444no—
1496C22×C4C23×D1111yescharacteristic
1497C22×C4C23×D1111yescharacteristic
1498C22×C4C23×D1111yescharacteristic
1499C22×C4C23×D1111yescharacteristic
1500C22×C4C23×D1111yescharacteristic
1501C22×C4C23×D1111yescharacteristic
1502C22×C4C23×D1111yescharacteristic
1503C22×C4C23×D1111yescharacteristic
1504C22×C4C23×D1114yes—
1505C22×C4C23×D1111yescharacteristic
1506C22×C4C23×D1114yes—
1507C22×C4C23×D1111yescharacteristic
1508C22×C4C23×D1111yescharacteristic
1509C22×C4C23×D1111yescharacteristic
1510C22×C4C23×D1111yescharacteristic
1511C22×C4C23×D1111yescharacteristic
1512C22×C4C23×D1111yescharacteristic
1513C22×C4C23×D1111yescharacteristic
1514C22×C4C23×D1111yescharacteristic
1515C22×C4C23×D1114yes—
1516C22×C4C23×D1111yescharacteristic
1517C4⋊C4—114no—
1518C4⋊C4—114no—
1519C4⋊C4—112no—
1520C4⋊C4—112no—
1521C4⋊C4—118no—
1522C4⋊C4—112no—
1523C4⋊C4—118no—
1524C4⋊C4—114no—
1525C4⋊C4—118no—
1526C4⋊C4—114no—
1527C4⋊C4—114no—
1528C4⋊C4—112no—
1529C4⋊C4—112no—
1530C4⋊C4—112no—
1531C4⋊C4—114no—
1532C4⋊C4—118no—
1533C4⋊C4—112no—
1534C4⋊C4—112no—
1535C4⋊C4—114no—
1536C4⋊C4—114no—
1537C4⋊C4—114no—
1538C4⋊C4—114no—
1539C4⋊C4—118no—
1540C4⋊C4—118no—
1541C4⋊C4—118no—
1542C4⋊C4—112no—
1543C4⋊C4—118no—
1544C4⋊C4—112no—
1545C4⋊C4C23×D1112yes—
1546C4⋊C4C23×D1114yes—
1547C4⋊C4C23×D1112yes—
1548C4⋊C4C23×D1114yes—
1549C4⋊C4C23×D1112yes—
1550C4⋊C4C23×D1112yes—
1551C4⋊C4C23×D1114yes—
1552C4⋊C4C23×D1114yes—
1553C4⋊C4C23×D1114yes—
1554C4⋊C4C23×D1114yes—
1555C4⋊C4C23×D1112yes—
1556C4⋊C4C23×D1112yes—
1557C22⋊C4—114no—
1558C22⋊C4—114no—
1559C22⋊C4—114no—
1560C22⋊C4—118no—
1561C22⋊C4—114no—
1562C22⋊C4—114no—
1563C22⋊C4—118no—
1564C22⋊C4—114no—
1565C22⋊C4—114no—
1566C22⋊C4—114no—
1567C22⋊C4—114no—
1568C22⋊C4—114no—
1569C22⋊C4—118no—
1570C22⋊C4—114no—
1571C22⋊C4—114no—
1572C22⋊C4—114no—
1573C22⋊C4—114no—
1574C22⋊C4—118no—
1575C22⋊C4—118no—
1576C22⋊C4—118no—
1577C22⋊C4—118no—
1578C22⋊C4—114no—
1579C22⋊C4—118no—
1580C22⋊C4C23×D1114yes—
1581C22⋊C4C23×D1114yes—
1582C22⋊C4C23×D1114yes—
1583C22⋊C4C23×D1114yes—
1584C22⋊C4C23×D1114yes—
1585C22⋊C4C23×D1114yes—
1586C22⋊C4C23×D1114yes—
1587C22⋊C4C23×D1114yes—
1588C22⋊C4C23×D1114yes—
1589C42—114no—
1590C42—114no—
1591C42—114no—
1592C42—114no—
1593C42—114no—
1594C42—118no—
1595C42—118no—
1596C42—114no—
1597C42—118no—
1598C42—118no—
1599C42—114no—
1600C42—114no—
1601C42—114no—
1602C42C23×D1111yescharacteristic
1603C42C23×D1111yescharacteristic
1604C42C23×D1111yescharacteristic
1605C42C23×D1111yescharacteristic
1606C42C23×D1111yescharacteristic
1607C42C23×D1111yescharacteristic
1608C42C23×D1111yescharacteristic
1609C42C23×D1111yescharacteristic
1610C42C23×D1111yescharacteristic
1611C42C23×D1111yescharacteristic
1612C42C23×D1111yescharacteristic
1613C42C23×D1111yescharacteristic
1614C42C23×D1114yes—
1615C42C23×D1114yes—
1616C42C23×D1111yescharacteristic
1617C42C23×D1111yescharacteristic
1618C42C23×D1111yescharacteristic
1619C42C23×D1114yes—
1620C42C23×D1111yescharacteristic
1621C11#6279311yescharacteristic, complemented, Sylow
1622C23—22no—
1623C23—41no—
1624C23—41no—
1625C23—114no—
1626C23—114no—
1627C23—224no—
1628C23—442no—
1629C23—442no—
1630C23C24×D1111yescharacteristic
1631C23C24×D1111yescharacteristic
1632C23C24×D1114yes—
1633C23C24×D1111yescharacteristic
1634Q8—24no—
1635Q8—24no—
1636Q8—42no—
1637Q8—118no—
1638Q8—118no—
1639Q8—2216no—
1640Q8—224no—
1641Q8—224no—
1642Q8—442no—
1643Q8—448no—
1644D4—28no—
1645D4—24no—
1646D4—24no—
1647D4—42no—
1648D4—44no—
1649D4—44no—
1650D4—228no—
1651D4—228no—
1652D4—2216no—
1653D4—228no—
1654D4—224no—
1655D4—224no—
1656D4—224no—
1657D4—224no—
1658D4—442no—
1659D4—448no—
1660D4—448no—
1661D4—448no—
1662D4—444no—
1663D4—448no—
1664D4—444no—
1665D4—448no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—28no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—28no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—44no—
1686C2×C4—118no—
1687C2×C4—114no—
1688C2×C4—114no—
1689C2×C4—114no—
1690C2×C4—114no—
1691C2×C4—114no—
1692C2×C4—114no—
1693C2×C4—228no—
1694C2×C4—228no—
1695C2×C4—2216no—
1696C2×C4—2216no—
1697C2×C4—228no—
1698C2×C4—228no—
1699C2×C4—228no—
1700C2×C4—228no—
1701C2×C4—444no—
1702C2×C4—444no—
1703C2×C4—444no—
1704C2×C4—448no—
1705C2×C4—442no—
1706C2×C4—442no—
1707C2×C4—448no—
1708C2×C4#41×D1114yes—
1709C2×C4C24×D1111yescharacteristic
1710C2×C4C24×D1111yescharacteristic
1711C2×C4C24×D1111yescharacteristic
1712C2×C4C24×D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C2×C4C24×D1114yes—
1715C2×C4C24×D1114yes—
1716C2×C4C24×D1114yes—
1717C2×C4C24×D1111yescharacteristic
1718C2×C4C24×D1111yescharacteristic
1719C2×C4C24×D1111yescharacteristic
1720C2×C4C24×D1111yescharacteristic
1721C2×C4C24×D1111yescharacteristic
1722C2×C4C24×D1111yescharacteristic
1723C2×C4C24×D1111yescharacteristic
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—24no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—24no—
1734C22—24no—
1735C22—44no—
1736C22—224no—
1737C22—224no—
1738C22—224no—
1739C22—224no—
1740C22—224no—
1741C22—224no—
1742C22—448no—
1743C22C2×#41×D1112yes—
1744C22C25×D1111yescharacteristic
1745C4—21no—
1746C4—21no—
1747C4—24no—
1748C4—21no—
1749C4—21no—
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—24no—
1755C4—24no—
1756C4—118no—
1757C4—224no—
1758C4—224no—
1759C4—224no—
1760C4—224no—
1761C4—224no—
1762C4C2×#41×D1112yes—
1763C4C2×#41×D1112yes—
1764C4#1062345312yes—
1765C4#1062345312yes—
1766C2—22no—
1767C2—41no—
1768C2—41no—
1769C2—44no—
1770C2—444no—
1771C2—444no—
1772C2C22×#41×D1111yescharacteristic
1773C2C2×#1062345311yescharacteristic
1774C2C2×#1062345311yescharacteristic
subgroupG/H
centerC2×C4C24×D11
commutator, socle, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC11×#3444C2
hypercenter#3444D11
hypocenterC11#62793
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #13082721C2semidirect
2. #13082715C2semidirect
3. #13082631C2semidirect
4. #13082625C2semidirect
5. #13082620C2semidirect
6. #13082614C2semidirect
7. #13082470C2semidirect
8. #13082465C2semidirect
9. #13082459C2semidirect
10. #13082421C2semidirect
11. #13082382C2semidirect
12. #13082333C2semidirect
13. #13082328C2semidirect
14. #13082270C2semidirect
15. #13082242C2semidirect
16. #13082240C2semidirect
17. #13082234C2semidirect
18. #13082231C2semidirect
19. #13082209C2semidirect
20. #13082207C2semidirect
21. #13082034C2semidirect
22. #13082032C2semidirect
23. #13081912C2semidirect
24. #13081910C2semidirect
25. C4×#67043C2semidirect
26. C2×C4×#4339C2semidirect
27. C11×#3444C2semidirect
31. C11×#533C22semidirect
32. C11×#533C22semidirect
34. C11×#532C22semidirect
35. C11×#532C22semidirect
38. C11×#529C22semidirect
39. C11×#529C22semidirect
40. C11×#529C22semidirect
41. C11×#529C22semidirect
46. C4×C11×#41C22semidirect
47. C4×C11×#41C22semidirect
49. #10623365C22semidirect
51. #10623363C22semidirect
54. #10623355C22semidirect
61. #10623265C22semidirect
62. #10623263C22semidirect
63. #10623258C22semidirect
64. #10623257C22semidirect
65. #10623253C22semidirect
66. #10623252C22semidirect
67. #10623249C22semidirect
68. #10623249C22semidirect
69. #10623240C22semidirect
70. #10623237C22semidirect
71. #10623237C22semidirect
72. #10623233C22semidirect
73. #10623226C22semidirect
74. #10623224C22semidirect
75. #10623222C22semidirect
76. #10623219C22semidirect
77. #10623216C22semidirect
78. #10623212C22semidirect
79. #10623211C22semidirect
80. #10623208C22semidirect
81. #10623201C22semidirect
82. #10623199C22semidirect
83. #10623195C22semidirect
84. #10623194C22semidirect
85. #10623193C22semidirect
86. #10623192C22semidirect
90. #10623172C22semidirect
91. #10623172C22semidirect
92. #10623171C22semidirect
93. #10623170C22semidirect
96. #10623162C22semidirect
101. #10623147C22semidirect
102. #10623147C22semidirect
103. #10623146C22semidirect
104. #10623145C22semidirect
108. #10623130C22semidirect
113. #10623116C22semidirect
114. #10623115C22semidirect
115. #10623113C22semidirect
116. #10623111C22semidirect
117. #10623109C22semidirect
118. #10623108C22semidirect
119. C4×#4343C22semidirect
120. #10623103C22semidirect
121. C4×Q8×D11C22semidirect
122. #10623099C22semidirect
123. #10623098C22semidirect
124. #10623098C22semidirect
125. Q8×Dic22C22semidirect
126. #10623096C22semidirect
127. #10623096C22semidirect
128. #10623094C22semidirect
129. #10623094C22semidirect
130. #10623093C22semidirect
132. #10623090C22semidirect
133. #10623086C22semidirect
136. #10623084C22semidirect
139. #10623083C22semidirect
140. #10623079C22semidirect
141. #10623079C22semidirect
142. #10623079C22semidirect
145. #10623077C22semidirect
146. #10623073C22semidirect
147. #10623072C22semidirect
148. #10623071C22semidirect
149. #10623071C22semidirect
150. #10623069C22semidirect
151. D4×Dic22C22semidirect
153. C4×#4341C22semidirect
154. C4×#4341C22semidirect
155. #10623066C22semidirect
156. #10623065C22semidirect
157. #10623064C22semidirect
158. #10623063C22semidirect
159. #10623063C22semidirect
160. #10623062C22semidirect
161. #10623059C22semidirect
162. #10623059C22semidirect
165. #10623054C22semidirect
166. #10623053C22semidirect
169. #10623047C22semidirect
172. #10623010C22semidirect
173. #10623010C22semidirect
174. #10623010C22semidirect
175. #10623010C22semidirect
176. #10623010C22semidirect
178. #10623008C22semidirect
179. #10623008C22semidirect
180. #10623008C22semidirect
190. C4×#4339C22semidirect
191. C4×#4339C22semidirect
192. C4×#4339C22semidirect
198. #10623001C22semidirect
199. #10623001C22semidirect
202. C2×C4×Dic22C22semidirect
623. C2×Dic22#41semidirect
759. #3444D11semidirect
952. #533C2×D11semidirect
953. #533C2×D11semidirect
965. #532C2×D11semidirect
966. #532C2×D11semidirect
985. #529C2×D11semidirect
986. #529C2×D11semidirect
987. #529C2×D11semidirect
988. #529C2×D11semidirect
1025. C4×#41C2×D11semidirect
1026. C4×#41C2×D11semidirect
1621. C11#62793semidirect

Maximal subgroups

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

subgroupindex
#130827212
#130827152
#130826312
#130826252
#130826202
#130826142
#130824702
#130824652
#130824592
#130824212
#130823822
#130823332
#130823282
#130822702
#130822422
#130822402
#130822342
#130822312
#130822092
#130822072
#130820342
#130820322
#130819122
#130819102
C4×#670432
C2×C4×#43392
C11×#34442
#6279311