Finite Group Databasebeta

← D11×#3196 #15624385

Subgroups — D11×#3196 #15624385

Order 2816.

2342 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#525C211yesmaximal, characteristic
2C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13079451C211yesmaximal, characteristic, complemented
4#13079450C212yesmaximal, complemented
5#13079449C211yesmaximal, characteristic, complemented
6#13079448C211yesmaximal, characteristic, complemented
7#13079447C212yesmaximal, complemented
8#13079446C211yesmaximal, characteristic, complemented
9#13079445C211yesmaximal, characteristic, complemented
10#13079444C212yesmaximal, complemented
11#13079443C211yesmaximal, characteristic, complemented
12#13079442C211yesmaximal, characteristic, complemented
13#13079441C212yesmaximal, complemented
14D11×#484C211yesmaximal, characteristic, complemented
15D11×#481C211yesmaximal, characteristic, complemented
16D11×#485C212yesmaximal, complemented
17D11×#470C212yesmaximal, complemented
18D11×#468C212yesmaximal, complemented
19D11×#452C212yesmaximal, complemented
20D11×#451C211yesmaximal, characteristic, complemented
21D11×#448C211yesmaximal, characteristic, complemented
22D11×#407C211yesmaximal, characteristic, complemented
23C11×#3196C211yesmaximal, characteristic, complemented
24C2×#41×D11C2211yescharacteristic
25C22×Q8×D11C2211yescharacteristic
26C23×C4×D11C2211yescharacteristic
27C11×#525C2211yescharacteristic
28C2×C11×C22⋊Q8C2211yescharacteristic, complemented
29#10623359C2211yescharacteristic
30C2×#66999C2211yescharacteristic, complemented
31#10623322C2211yescharacteristic
32C2×#66977C2211yescharacteristic, complemented
33C2×Q16×D11C2212yescomplemented
34C2×SD16×D11C2212yescomplemented
35C2×M16×D11C2212yes—
36#10623187—21no—
37D11×#123—21no—
38#10623158C2211yescharacteristic
39#10623158C2211yescharacteristic
40D11×C22⋊Q8—21no—
41D11×C22⋊Q8—21no—
42D11×C22⋊Q8—21no—
43D11×C22⋊Q8—21no—
44D11×C22⋊Q8C2211yescharacteristic
45D11×C22⋊Q8C2212yes—
46D11×C22⋊Q8C2212yes—
47D11×C22⋊Q8C2211yescharacteristic
48D11×C22⋊Q8C2212yescomplemented
49D11×C22⋊Q8C2212yescomplemented
50#10623137C2211yescharacteristic
51#10623137C2211yescharacteristic
52D11×#121C2211yescharacteristic
53D11×#121C2211yescharacteristic
54D11×#120—21no—
55#10623117—21no—
56#10623078—21no—
57#10623078—21no—
58C4×D4×D11—21no—
59C4×D4×D11—21no—
60#10623055C2211yescharacteristic
61D11×#117C2211yescharacteristic
62C2×#66950C2211yescharacteristic, complemented
63C2×#66949—21no—
64C2×C4⋊C4×D11—21no—
65C2×C4⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11—21no—
67C2×#66931—21no—
68C11×#485C2212yescomplemented
69C11×#484C2211yescharacteristic, complemented
70C11×#481C2211yescharacteristic, complemented
71C11×#470C2212yescomplemented
72C11×#468C2212yescomplemented
73C11×#452C2212yescomplemented
74C11×#451C2211yescharacteristic, complemented
75C11×#448C2211yescharacteristic, complemented
76C11×#407C2211yescharacteristic, complemented
77#10622852C2212yescomplemented
78#10622841C2211yescharacteristic, complemented
79#10622840C2211yescharacteristic, complemented
80#10622820C2211yescharacteristic, complemented
81#10622802C2212yescomplemented
82#10622800C2212yescomplemented
83#10622799C2212yescomplemented
84#10622787C2212yescomplemented
85#10622786C2212yescomplemented
86#10622783C2212yescomplemented
87#10622750C2212yescomplemented
88#10622747C2212yescomplemented
89#10622739C2212yescomplemented
90#10622665C2212yescomplemented
91#10622665C2212yescomplemented
92#10622663C2211yescharacteristic, complemented
93#10622662C2212yescomplemented
94#10622660C2212yescomplemented
95#10622658C2212yescomplemented
96#10622657C2211yescharacteristic, complemented
97#10622655C2212yescomplemented
98#10622653C2211yescharacteristic, complemented
99#10622647C2211yescharacteristic, complemented
100#10622609C2212yescomplemented
101#10622583C2211yescharacteristic, complemented
102#10622581C2211yescharacteristic, complemented
103#10622501C2212yescomplemented
104#10622499C2212yescomplemented
105#10622497C2212yescomplemented
106D11×#107C2212yescomplemented
107#10622481C2212yescomplemented
108#10622480C2212yescomplemented
109#10622476C2212yescomplemented
110D11×#106C2212yescomplemented
111#10622429C2212yescomplemented
112#10622429C2212yescomplemented
113#10622428C2212yescomplemented
114#10622427C2212yescomplemented
115#10622425C2212yescomplemented
116#10622423C2212yescomplemented
117#10622422C2212yescomplemented
118#10622421C2212yescomplemented
119#10622419C2212yescomplemented
120D11×#103C2212yescomplemented
121D11×#103C2212yescomplemented
122D11×#103C2212yescomplemented
123#10622396C2212yescomplemented
124#10622393C2212yescomplemented
125#10622390C2212yescomplemented
126D11×#102C2212yescomplemented
127#10622352C2211yescharacteristic, complemented
128#10622351C2211yescharacteristic, complemented
129#10622348C2211yescharacteristic, complemented
130#10622346C2212yescomplemented
131#10622339C2211yescharacteristic, complemented
132#10622339C2212yescomplemented
133#10622339C2211yescharacteristic, complemented
134D11×C22⋊C8C2211yescharacteristic
135D11×C22⋊C8C2211yescharacteristic
136D11×C22⋊C8C2212yes—
137#10622336C2212yescomplemented
138#10622335C2211yescharacteristic, complemented
139C24×D11D411yescharacteristic
140C2×C11×#41C2311yescharacteristic
141C22×Q8×C11C2311yescharacteristic
142C23×C4×C11C2311yescharacteristic
143C23×Dic11D411yescharacteristic
144#41×D11—44no—
145C2×#4343C2311yescharacteristic
146C2×Q8×D11—21no—
147C2×Q8×D11—21no—
148C2×Q8×D11—44no—
149C2×Q8×D11C2312yes—
150C2×Q8×D11C2311yescharacteristic
151C2×Q8×D11C2312yes—
152C2×#4341—21no—
153C2×#4341C2311yescharacteristic
154C2×D4×D11—21no—
155C2×D4×D11—21no—
156C2×D4×D11—21no—
157C2×D4×D11C2311yescharacteristic
158C2×#4339—21no—
159C2×#4339C2311yescharacteristic
160C22×C4×D11—21no—
161C22×C4×D11—21no—
162C22×C4×D11—21no—
163C22×C4×D11—44no—
164C22×C4×D11D411yescharacteristic
165C22×C4×D11D411yescharacteristic
166C22×C4×D11D411yescharacteristic
167C22×C4×D11D411yescharacteristic
168C22×C4×D11D411yescharacteristic
169C22×C4×D11D411yescharacteristic
170C22×C4×D11C2311yescharacteristic
171C22×C4×D11C2311yescharacteristic
172C22×C4×D11C2311yescharacteristic
173C22×C4×D11C2311yescharacteristic
174C22×C4×D11C2311yescharacteristic
175C22×C4×D11C2311yescharacteristic
176C22×Dic22—21no—
177C22×Dic22C2311yescharacteristic
178C2×C11×Q16C2312yescomplemented
179C2×C11×SD16C2312yescomplemented
180C2×C11×M16C2312yes—
181C11×#123—21no—
182C11×C22⋊Q8—21no—
183C11×C22⋊Q8—21no—
184C11×C22⋊Q8C2312yes—
185C11×C22⋊Q8C2312yes—
186C11×C22⋊Q8C2311yescharacteristic
187C11×C22⋊Q8C2311yescharacteristic
188C11×#121C2311yescharacteristic
189C11×#121C2311yescharacteristic
190C11×#120—21no—
191C4×D4×C11—21no—
192C4×D4×C11—21no—
193C11×#117C2311yescharacteristic
194C2×C11×C4⋊C4—21no—
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C22⋊C4—21no—
197#67006—21no—
198C2×C22⋊Dic11—21no—
199#66999—21no—
200#66999—21no—
201#66999C2312yes—
202#66999C2312yes—
203#66999C2311yescharacteristic
204#66999C2311yescharacteristic
205C2×#4326C2312yescomplemented
206C2×#4326C2312yescomplemented
207C2×#4325C2312yescomplemented
208#66992—21no—
209#66992—21no—
210#66991C2311yescharacteristic
211#66991C2311yescharacteristic
212#66990—21no—
213#66990—21no—
214#66990—21no—
215#66988—21no—
216D4×Dic11—21no—
217D4×Dic11—21no—
218C2×#4324C2312yescomplemented
219#66983C2311yescharacteristic
220#66983C2311yescharacteristic
221#66982—21no—
222C4×C22⋊D11—21no—
223C4×C22⋊D11—21no—
224C4×C22⋊D11—21no—
225C4×C22⋊D11—21no—
226C2×(C2×D11)⋊C4—21no—
227C2×(C2×D11)⋊C4—21no—
228#66979C2311yescharacteristic
229C2×C4⋊Dic11—21no—
230C2×C4⋊Dic11C2311yescharacteristic
231#66977—21no—
232#66977—21no—
233#66977C2312yes—
234#66977C2311yescharacteristic
235#66977C2312yes—
236#66977C2311yescharacteristic
237C2×Dic11⋊C4—21no—
238C2×Dic11⋊C4—21no—
239C2×Dic11⋊C4—21no—
240C2×#4318C2312yes—
241Q16×D11—44no—
242SD16×D11—44no—
243M16×D11—44no—
244C2×Dic44C2312yescomplemented
245C2×#4314C2312yescomplemented
246C2×#4313C2312yes—
247C2×#4313C2312yes—
248C2×C8×D11C2312yes—
249C2×C8×D11C2312yes—
250#66950—21no—
251#66950—21no—
252#66950C2312yes—
253#66950C2311yescharacteristic
254#66950C2312yes—
255#66950C2311yescharacteristic
256#66949—22no—
257#66949—22no—
258#66949—22no—
259#66949—22no—
260#66949—21no—
261#66949—21no—
262#66948C2311yescharacteristic
263#66948C2311yescharacteristic
264#66947—21no—
265#66947—21no—
266#66946—21no—
267#66946—21no—
268#66945C2311yescharacteristic
269#66945C2311yescharacteristic
270C4⋊C4×D11—22no—
271C4⋊C4×D11—22no—
272C4⋊C4×D11—22no—
273C4⋊C4×D11—22no—
274C4⋊C4×D11—21no—
275C4⋊C4×D11—21no—
276C4⋊C4×D11—21no—
277C4⋊C4×D11—21no—
278C4⋊C4×D11C2311yescharacteristic
279C4⋊C4×D11C2312yes—
280C4⋊C4×D11C2312yes—
281C4⋊C4×D11C2311yescharacteristic
282#66939—21no—
283#66937—21no—
284#66937—21no—
285#66936—21no—
286#66936—21no—
287#66935—21no—
288#66935—21no—
289#66935—21no—
290(C22⋊D11)⋊C4—21no—
291(C22⋊D11)⋊C4—21no—
292(C22⋊D11)⋊C4—21no—
293(C22⋊D11)⋊C4—21no—
294C22⋊C4×D11—22no—
295C22⋊C4×D11—22no—
296C22⋊C4×D11—22no—
297C22⋊C4×D11—22no—
298C22⋊C4×D11—21no—
299C22⋊C4×D11—21no—
300C22⋊C4×D11—21no—
301C22⋊C4×D11—21no—
302C22⋊C4×D11—21no—
303#66931—22no—
304#66931—22no—
305#66931—22no—
306#66931—22no—
307#66931—21no—
308#66931—21no—
309#66930—21no—
310C4×D44—21no—
311C4×D44—21no—
312#66925—21no—
313C42×D11—21no—
314C11×#107C2312yescomplemented
315C11×#106C2312yescomplemented
316C11×#103C2312yescomplemented
317C11×#103C2312yescomplemented
318C11×#103C2312yescomplemented
319C11×#102C2312yescomplemented
320C11×C22⋊C8C2311yescharacteristic
321C11×C22⋊C8C2312yes—
322C11×C22⋊C8C2311yescharacteristic
323#66899C2312yescomplemented
324#66899C2312yescomplemented
325#66899C2312yescomplemented
326#66896C2312yescomplemented
327C22⋊(C11⋊C8)C2311yescharacteristic
328C22⋊(C11⋊C8)C2311yescharacteristic
329C22⋊(C11⋊C8)C2312yes—
330#66885C2312yescomplemented
331(C2×D11)⋊C8C2312yes—
332(C2×D11)⋊C8C2312yes—
333(C2×D11)⋊C8C2312yes—
334(C2×D11)⋊C8C2312yes—
335#66882C2312yescomplemented
336#66881C2312yescomplemented
337#66880C2312yescomplemented
338#66880C2312yescomplemented
339#66880C2312yescomplemented
340#66874C2312yescomplemented
341#66874C2312yescomplemented
342#66874C2312yescomplemented
343#66873C2312yescomplemented
344#66872C2312yescomplemented
345#66872C2312yescomplemented
346#66871C2312yescomplemented
347#66871C2312yescomplemented
348C2×#3196—111nomaximal, Sylow
349C24×C11C2×D411yescharacteristic
350C23×D11—24no—
351C23×D11—21no—
352C23×D11—42no—
353C23×D11—42no—
354C23×D11C2×D411yescharacteristic
355C23×D11C2×D411yescharacteristic
356C23×D11C2×D411yescharacteristic
357C23×D11C2×D411yescharacteristic
358C23×D11C2×D411yescharacteristic
359C23×D11C2×D411yescharacteristic
360C11×#41—42no—
361C2×Q8×C11—21no—
362C2×Q8×C11—42no—
363C2×Q8×C11C2412yes—
364C2×Q8×C11C2411yescharacteristic
365C2×D4×C11—21no—
366C2×D4×C11—21no—
367C2×D4×C11—21no—
368C2×D4×C11C2411yescharacteristic
369C22×C4×C11—21no—
370C22×C4×C11—21no—
371C22×C4×C11—21no—
372C22×C4×C11—42no—
373C22×C4×C11C2×D411yescharacteristic
374C22×C4×C11C2×D411yescharacteristic
375C22×C4×C11C2×D411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C2×C22⋊D11—21no—
380C2×C22⋊D11—21no—
381C2×C22⋊D11—21no—
382C2×C22⋊D11—21no—
383C2×C22⋊D11—21no—
384C2×C22⋊D11—21no—
385C2×C22⋊D11—21no—
386C22×Dic11—21no—
387C22×Dic11—21no—
388C22×Dic11—21no—
389C22×Dic11—42no—
390C22×Dic11C2×D411yescharacteristic
391C22×Dic11C2×D411yescharacteristic
392C22×Dic11C2×D411yescharacteristic
393C22×Dic11C2×D411yescharacteristic
394C22×Dic11C2×D411yescharacteristic
395C22×Dic11C2×D411yescharacteristic
396#4343—42no—
397Q8×D11—24no—
398Q8×D11—24no—
399Q8×D11—24no—
400Q8×D11—42no—
401Q8×D11—42no—
402Q8×D11—44no—
403Q8×D11—44no—
404#4341—42no—
405#4341—44no—
406D4×D11—24no—
407D4×D11—44no—
408D4×D11—44no—
409D4×D11—44no—
410#4339—42no—
411#4339—44no—
412C2×D44—21no—
413C2×D44—21no—
414C2×D44—21no—
415C2×D44C2411yescharacteristic
416C2×C4×D11—24no—
417C2×C4×D11—24no—
418C2×C4×D11—24no—
419C2×C4×D11—21no—
420C2×C4×D11—21no—
421C2×C4×D11—21no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—21no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—21no—
428C2×C4×D11—42no—
429C2×C4×D11—42no—
430C2×C4×D11—42no—
431C2×C4×D11—42no—
432C2×C4×D11—42no—
433C2×C4×D11—42no—
434C2×C4×D11—44no—
435C2×C4×D11—44no—
436C2×C4×D11—42no—
437C2×C4×D11—42no—
438C2×C4×D11—42no—
439C2×C4×D11—44no—
440C2×C4×D11C2×D411yescharacteristic
441C2×C4×D11C2×D411yescharacteristic
442C2×C4×D11C2×D411yescharacteristic
443C2×C4×D11C2×D411yescharacteristic
444C2×C4×D11C2×D411yescharacteristic
445C2×C4×D11C2×D411yescharacteristic
446C2×C4×D11C2×D411yescharacteristic
447C2×C4×D11C2×D411yescharacteristic
448C2×C4×D11C2×D411yescharacteristic
449C2×C4×D11C2×D411yescharacteristic
450C2×C4×D11C2×D411yescharacteristic
451C2×C4×D11C2×D411yescharacteristic
452C2×C4×D11C2411yescharacteristic
453C2×C4×D11C2411yescharacteristic
454C2×C4×D11C2411yescharacteristic
455C2×C4×D11C2411yescharacteristic
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22—21no—
459C2×Dic22—21no—
460C2×Dic22—42no—
461C2×Dic22—44no—
462C2×Dic22C2412yes—
463C2×Dic22C2411yescharacteristic
464C11×Q16—42no—
465C11×SD16—42no—
466C11×M16—42no—
467C2×C8×C11C2412yes—
468C2×C8×C11C2412yes—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—21no—
472C11×C4⋊C4—21no—
473C11×C4⋊C4—21no—
474C11×C4⋊C4C2411yescharacteristic
475C11×C4⋊C4C2412yes—
476C11×C4⋊C4C2411yescharacteristic
477C11×C22⋊C4—21no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—21no—
481C11×C22⋊C4—21no—
482C11×C22⋊C4—21no—
483C11×C22⋊C4—21no—
484C42×C11—21no—
485C22⋊Dic11—21no—
486C22⋊Dic11—21no—
487C22⋊Dic11—21no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—21no—
491C22⋊Dic11—21no—
492#4326—42no—
493#4326—42no—
494#4325—42no—
495#4324—42no—
496(C2×D11)⋊C4—21no—
497(C2×D11)⋊C4—21no—
498(C2×D11)⋊C4—21no—
499(C2×D11)⋊C4—21no—
500(C2×D11)⋊C4—21no—
501(C2×D11)⋊C4—21no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—21no—
507(C2×D11)⋊C4—21no—
508(C2×D11)⋊C4—21no—
509(C2×D11)⋊C4—21no—
510C4⋊Dic11—21no—
511C4⋊Dic11—21no—
512C4⋊Dic11—22no—
513C4⋊Dic11—22no—
514C4⋊Dic11—21no—
515C4⋊Dic11C2411yescharacteristic
516C4⋊Dic11C2412yes—
517C4⋊Dic11C2411yescharacteristic
518Dic11⋊C4—21no—
519Dic11⋊C4—21no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—21no—
525Dic11⋊C4—21no—
526Dic11⋊C4—21no—
527Dic11⋊C4—21no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530C4×Dic11—21no—
531C4×Dic11—21no—
532C4×Dic11—21no—
533#4318—42no—
534C2×C11⋊C8C2412yes—
535C2×C11⋊C8C2412yes—
536Dic44—42no—
537#4314—42no—
538#4313—42no—
539#4313—42no—
540C8×D11—24no—
541C8×D11—24no—
542C2×#525—111no—
543C22×C22⋊Q8—111no—
544#3196—112no—
545#3196—111no—
546#3196—111no—
547#3196—112no—
548#3196—112no—
549#3196—112no—
550#3196—111no—
551#3196—111no—
552#3196—111no—
553#3196—111no—
554#3196—111no—
555#3196D1111yescharacteristic, direct product factor
556C2×#484—111no—
557C2×#481—111no—
558C2×#485—112no—
559C2×#470—112no—
560C2×#468—112no—
561C2×#452—112no—
562C2×#451—111no—
563C2×#448—111no—
564C2×#407—111no—
565C23×C11—22no—
566C23×C11—21no—
567C23×C11—41no—
568C23×C11—41no—
569C23×C11C22×D411yescharacteristic
570C23×C11C22×D411yescharacteristic
571C23×C11C22×D411yescharacteristic
572C22×D11—22no—
573C22×D11—22no—
574C22×D11—22no—
575C22×D11—22no—
576C22×D11—22no—
577C22×D11—22no—
578C22×D11—22no—
579C22×D11—22no—
580C22×D11—22no—
581C22×D11—22no—
582C22×D11—22no—
583C22×D11—21no—
584C22×D11—41no—
585C22×D11—41no—
586C22×D11—41no—
587C22×D11—41no—
588C22×D11—41no—
589C22×D11—41no—
590C22×D11—416no—
591C22×D11—42no—
592C22×D11—42no—
593C22×D11—42no—
594C22×D11#13714yes—
595C22×D11C22×D411yescharacteristic
596C22×D11C22×D411yescharacteristic
597C22×D11C22×D411yescharacteristic
598C22×D11C22×D411yescharacteristic
599Q8×C11—22no—
600Q8×C11—22no—
601Q8×C11—22no—
602Q8×C11—42no—
603D4×C11—22no—
604D4×C11—42no—
605D4×C11—42no—
606D4×C11—42no—
607C2×C4×C11—22no—
608C2×C4×C11—22no—
609C2×C4×C11—22no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—22no—
613C2×C4×C11—22no—
614C2×C4×C11—21no—
615C2×C4×C11—41no—
616C2×C4×C11—41no—
617C2×C4×C11—41no—
618C2×C4×C11—42no—
619C2×C4×C11—42no—
620C2×C4×C11—42no—
621C2×C4×C11C22×D411yescharacteristic
622C2×C4×C11C22×D411yescharacteristic
623C2×C4×C11C22×D411yescharacteristic
624C2×C4×C11C2511yescharacteristic
625C22⋊D11—42no—
626C22⋊D11—42no—
627C22⋊D11—42no—
628C22⋊D11—42no—
629C22⋊D11—42no—
630C22⋊D11—42no—
631C22⋊D11—42no—
632C2×Dic11—22no—
633C2×Dic11—22no—
634C2×Dic11—22no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—22no—
638C2×Dic11—22no—
639C2×Dic11—21no—
640C2×Dic11—41no—
641C2×Dic11—41no—
642C2×Dic11—41no—
643C2×Dic11—42no—
644C2×Dic11—42no—
645C2×Dic11—42no—
646C2×Dic11C22×D411yescharacteristic
647C2×Dic11C22×D411yescharacteristic
648C2×Dic11C22×D411yescharacteristic
649C2×Dic11C22×D411yescharacteristic
650D44—22no—
651D44—42no—
652D44—42no—
653D44—42no—
654C4×D11—22no—
655C4×D11—22no—
656C4×D11—22no—
657C4×D11—22no—
658C4×D11—22no—
659C4×D11—22no—
660C4×D11—22no—
661C4×D11—22no—
662C4×D11—22no—
663C4×D11—41no—
664C4×D11—41no—
665C4×D11—41no—
666C4×D11—41no—
667C4×D11—41no—
668C4×D11—41no—
669C4×D11—42no—
670C4×D11—42no—
671C4×D11—44no—
672C4×D11—44no—
673C4×D11—42no—
674C4×D11—44no—
675C4×D11—42no—
676C4×D11—44no—
677C4×D11—42no—
678C4×D11H(5,𝔽2)14yes—
679Dic22—22no—
680Dic22—22no—
681Dic22—22no—
682Dic22—44no—
683Dic22—42no—
684Dic22—44no—
685Dic22—42no—
686C8×C11—22no—
687C8×C11—22no—
688C11⋊C8—22no—
689C11⋊C8—22no—
690C22×#41—111no—
691C23×Q8—111no—
692C24×C4—111no—
693C22×Q16—112no—
694C22×SD16—112no—
695C22×M16—112no—
696#525—111no—
697#525—111no—
698#525—111no—
699#525—111no—
700#525—111no—
701#525—111no—
702#525—111no—
703#525—221no—
704#525—221no—
705#525—221no—
706#525—221no—
707#525C2×D1111yescharacteristic
708C2×#123—221no—
709C2×C22⋊Q8—111no—
710C2×C22⋊Q8—111no—
711C2×C22⋊Q8—112no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8—112no—
714C2×C22⋊Q8—112no—
715C2×C22⋊Q8—112no—
716C2×C22⋊Q8—111no—
717C2×C22⋊Q8—111no—
718C2×C22⋊Q8—221no—
719C2×C22⋊Q8—221no—
720C2×C22⋊Q8—221no—
721C2×C22⋊Q8—221no—
722C2×C22⋊Q8—221no—
723C2×C22⋊Q8—221no—
724C2×C22⋊Q8C2×D1111yescharacteristic, complemented
725C2×#121—111no—
726C2×#121—111no—
727C2×#120—221no—
728C2×C4×D4—221no—
729C2×C4×D4—221no—
730C2×#117—111no—
731C22×C4⋊C4—111no—
732C22×C4⋊C4—221no—
733C22×C22⋊C4—221no—
734#485—112no—
735#485—112no—
736#485—112no—
737#485—112no—
738#485—112no—
739#485—112no—
740#485—112no—
741#485C2×D1112yescomplemented
742#484—111no—
743#484—111no—
744#484—112no—
745#484—112no—
746#484—111no—
747#484C2×D1111yescharacteristic, complemented
748#481—111no—
749#481—111no—
750#481—112no—
751#481—112no—
752#481—111no—
753#481C2×D1111yescharacteristic, complemented
754#470—112no—
755#470—112no—
756#470—112no—
757#470—112no—
758#470—112no—
759#470—112no—
760#470—112no—
761#470C2×D1112yescomplemented
762#468—112no—
763#468—112no—
764#468—112no—
765#468—112no—
766#468—112no—
767#468—112no—
768#468—112no—
769#468C2×D1112yescomplemented
770#452—112no—
771#452—112no—
772#452—112no—
773#452—112no—
774#452—112no—
775#452—112no—
776#452—112no—
777#452C2×D1112yescomplemented
778#451—111no—
779#451—112no—
780#451—111no—
781#451—112no—
782#451—111no—
783#451C2×D1111yescharacteristic, complemented
784#448—111no—
785#448—112no—
786#448—111no—
787#448—112no—
788#448—111no—
789#448C2×D1111yescharacteristic, complemented
790C2×#107—112no—
791C2×#106—112no—
792C2×#103—112no—
793C2×#103—112no—
794C2×#103—112no—
795C2×#102—112no—
796#407—111no—
797#407—112no—
798#407—111no—
799#407—111no—
800#407—112no—
801#407C2×D1111yescharacteristic, complemented
802C2×C22⋊C8—112no—
803C2×C22⋊C8—111no—
804C2×C22⋊C8—111no—
805C22×C11—21no—
806C22×C11—21no—
807C22×C11—21no—
808C22×C11—21no—
809C22×C11—21no—
810C22×C11—21no—
811C22×C11—21no—
812C22×C11—21no—
813C22×C11—44no—
814C22×C11—41no—
815C22×C11—41no—
816C22×C11—41no—
817C22×C11C2×#13712yes—
818C22×C11C23×D411yescharacteristic
819C2×D11—21no—
820C2×D11—21no—
821C2×D11—28no—
822C2×D11—21no—
823C2×D11—21no—
824C2×D11—21no—
825C2×D11—21no—
826C2×D11—21no—
827C2×D11—21no—
828C2×D11—44no—
829C2×D11—44no—
830C2×D11—44no—
831C2×D11—44no—
832C2×D11—44no—
833C2×D11—41no—
834C2×D11—41no—
835C2×D11—41no—
836C2×D11—84no—
837C2×D11#53412yes—
838C2×D11C2×#13712yes—
839C2×D11C2×#13712yes—
840C2×D11#57512yes—
841C4×C11—21no—
842C4×C11—21no—
843C4×C11—21no—
844C4×C11—41no—
845C4×C11—42no—
846C4×C11—41no—
847C4×C11—42no—
848C4×C11—41no—
849C4×C11C2×H(5,𝔽2)12yes—
850Dic11—21no—
851Dic11—21no—
852Dic11—21no—
853Dic11—42no—
854Dic11—41no—
855Dic11—41no—
856Dic11—42no—
857Dic11—41no—
858Dic11#53412yes—
859C25—111no—
860C2×#41—111no—
861C2×#41—111no—
862C2×#41—111no—
863C2×#41—221no—
864C2×#41—221no—
865C2×#41—444no—
866C2×#41C22×D1111yescharacteristic
867C22×Q8—112no—
868C22×Q8—111no—
869C22×Q8—112no—
870C22×Q8—111no—
871C22×Q8—221no—
872C22×Q8—221no—
873C22×Q8—221no—
874C22×Q8—444no—
875C22×Q8C22×D1111yescharacteristic
876C22×D4—111no—
877C22×D4—221no—
878C22×D4—221no—
879C22×D4—221no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—111no—
891C23×C4—111no—
892C23×C4—111no—
893C23×C4—221no—
894C23×C4—221no—
895C23×C4—221no—
896C23×C4—444no—
897C23×C4C22×D1111yescharacteristic
898C2×Q16—112no—
899C2×Q16—112no—
900C2×Q16—112no—
901C2×Q16—444no—
902C2×Q16C22×D1112yescomplemented
903C2×SD16—112no—
904C2×SD16—112no—
905C2×SD16—112no—
906C2×SD16—444no—
907C2×SD16C22×D1112yescomplemented
908C2×M16—112no—
909C2×M16—112no—
910C2×M16—112no—
911C2×M16—444no—
912C2×M16C22×D1112yes—
913C22×C8—112no—
914C22×C8—112no—
915#123—21no—
916#123—221no—
917#123—221no—
918#123—221no—
919#123—221no—
920#123—221no—
921#123—221no—
922#123—221no—
923C22⋊Q8—21no—
924C22⋊Q8—21no—
925C22⋊Q8—112no—
926C22⋊Q8—112no—
927C22⋊Q8—111no—
928C22⋊Q8—111no—
929C22⋊Q8—112no—
930C22⋊Q8—112no—
931C22⋊Q8—111no—
932C22⋊Q8—111no—
933C22⋊Q8—112no—
934C22⋊Q8—112no—
935C22⋊Q8—111no—
936C22⋊Q8—111no—
937C22⋊Q8—222no—
938C22⋊Q8—222no—
939C22⋊Q8—222no—
940C22⋊Q8—222no—
941C22⋊Q8—221no—
942C22⋊Q8—221no—
943C22⋊Q8—222no—
944C22⋊Q8—222no—
945C22⋊Q8—222no—
946C22⋊Q8—222no—
947C22⋊Q8—221no—
948C22⋊Q8—221no—
949C22⋊Q8—221no—
950C22⋊Q8—221no—
951C22⋊Q8—221no—
952C22⋊Q8—221no—
953C22⋊Q8—221no—
954C22⋊Q8—221no—
955C22⋊Q8C22×D1112yes—
956C22⋊Q8C22×D1112yes—
957C22⋊Q8C22×D1111yescharacteristic
958C22⋊Q8C22×D1111yescharacteristic
959#121—111no—
960#121—111no—
961#121—111no—
962#121—111no—
963#121—111no—
964#121—111no—
965#121—221no—
966#121—221no—
967#121—221no—
968#121—221no—
969#121C22×D1111yescharacteristic
970#121C22×D1111yescharacteristic
971#120—21no—
972#120—221no—
973#120—221no—
974#120—221no—
975#120—221no—
976#120—221no—
977#120—221no—
978#120—221no—
979C4×D4—21no—
980C4×D4—21no—
981C4×D4—221no—
982C4×D4—221no—
983C4×D4—221no—
984C4×D4—221no—
985C4×D4—221no—
986C4×D4—221no—
987C4×D4—221no—
988C4×D4—221no—
989C4×D4—221no—
990C4×D4—221no—
991C4×D4—221no—
992C4×D4—221no—
993C4×D4—221no—
994C4×D4—221no—
995#117—111no—
996#117—111no—
997#117—111no—
998#117—221no—
999#117—221no—
1000#117C22×D1111yescharacteristic
1001C2×C4⋊C4—21no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—112no—
1004C2×C4⋊C4—112no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—221no—
1008C2×C4⋊C4—221no—
1009C2×C4⋊C4—222no—
1010C2×C4⋊C4—222no—
1011C2×C4⋊C4—222no—
1012C2×C4⋊C4—222no—
1013C2×C4⋊C4—221no—
1014C2×C4⋊C4—221no—
1015C2×C4⋊C4—221no—
1016C2×C4⋊C4—221no—
1017C2×C4⋊C4—221no—
1018C2×C4⋊C4—221no—
1019C2×C4⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4—21no—
1021C2×C22⋊C4—221no—
1022C2×C22⋊C4—221no—
1023C2×C22⋊C4—222no—
1024C2×C22⋊C4—222no—
1025C2×C22⋊C4—222no—
1026C2×C22⋊C4—222no—
1027C2×C22⋊C4—221no—
1028C2×C22⋊C4—221no—
1029C2×C22⋊C4—221no—
1030C2×C22⋊C4—221no—
1031C2×C22⋊C4—221no—
1032C2×C22⋊C4—221no—
1033C2×C42—221no—
1034#107—112no—
1035#107—112no—
1036#107—112no—
1037#107C22×D1112yescomplemented
1038#106—112no—
1039#106—112no—
1040#106—112no—
1041#106C22×D1112yescomplemented
1042#103—112no—
1043#103—112no—
1044#103—112no—
1045#103—112no—
1046#103—112no—
1047#103—112no—
1048#103—112no—
1049#103—112no—
1050#103—112no—
1051#103C22×D1112yescomplemented
1052#103C22×D1112yescomplemented
1053#103C22×D1112yescomplemented
1054#102—112no—
1055#102—112no—
1056#102—112no—
1057#102C22×D1112yescomplemented
1058C22⋊C8—111no—
1059C22⋊C8—111no—
1060C22⋊C8—112no—
1061C22⋊C8—112no—
1062C22⋊C8—112no—
1063C22⋊C8—112no—
1064C22⋊C8—112no—
1065C22⋊C8C22×D1111yescharacteristic
1066C22⋊C8C22×D1111yescharacteristic
1067C22⋊C8C22×D1112yes—
1068C2×C11—22no—
1069C2×C11—41no—
1070C2×C11—41no—
1071C2×C11—81no—
1072C2×C11C2×#53411yescharacteristic
1073C2×C11C22×#13711yescharacteristic
1074C2×C11C2×#57511yescharacteristic
1075D11—22no—
1076D11—41no—
1077D11—41no—
1078D11—81no—
1079D11#319614yesdirect product factor
1080C24—111no—
1081C24—111no—
1082C24—111no—
1083C24—111no—
1084C24—111no—
1085C24—111no—
1086C24—224no—
1087C24—221no—
1088C24—442no—
1089C24—442no—
1090C24D4×D1111yescharacteristic
1091#41—42no—
1092#41—442no—
1093#41—444no—
1094#41—442no—
1095#41—444no—
1096#41—442no—
1097C2×Q8—21no—
1098C2×Q8—42no—
1099C2×Q8—112no—
1100C2×Q8—111no—
1101C2×Q8—222no—
1102C2×Q8—222no—
1103C2×Q8—221no—
1104C2×Q8—224no—
1105C2×Q8—224no—
1106C2×Q8—224no—
1107C2×Q8—221no—
1108C2×Q8—442no—
1109C2×Q8—444no—
1110C2×Q8—442no—
1111C2×Q8—442no—
1112C2×Q8—444no—
1113C2×Q8—444no—
1114C2×Q8C23×D1112yes—
1115C2×Q8C23×D1111yescharacteristic
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—111no—
1120C2×D4—221no—
1121C2×D4—221no—
1122C2×D4—221no—
1123C2×D4—224no—
1124C2×D4—221no—
1125C2×D4—221no—
1126C2×D4—221no—
1127C2×D4—221no—
1128C2×D4—221no—
1129C2×D4—221no—
1130C2×D4—221no—
1131C2×D4—444no—
1132C2×D4—444no—
1133C2×D4—444no—
1134C2×D4C23×D1111yescharacteristic
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—42no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—224no—
1162C22×C4—224no—
1163C22×C4—224no—
1164C22×C4—221no—
1165C22×C4—221no—
1166C22×C4—221no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—221no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—221no—
1173C22×C4—221no—
1174C22×C4—221no—
1175C22×C4—221no—
1176C22×C4—442no—
1177C22×C4—442no—
1178C22×C4—442no—
1179C22×C4—442no—
1180C22×C4—442no—
1181C22×C4—442no—
1182C22×C4—442no—
1183C22×C4—442no—
1184C22×C4—442no—
1185C22×C4—444no—
1186C22×C4—444no—
1187C22×C4—444no—
1188C22×C4—442no—
1189C22×C4D4×D1111yescharacteristic
1190C22×C4D4×D1111yescharacteristic
1191C22×C4D4×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195Q16—42no—
1196Q16—442no—
1197Q16—442no—
1198Q16—442no—
1199SD16—42no—
1200SD16—442no—
1201SD16—442no—
1202SD16—442no—
1203M16—42no—
1204M16—442no—
1205M16—442no—
1206M16—442no—
1207C2×C8—112no—
1208C2×C8—112no—
1209C2×C8—224no—
1210C2×C8—224no—
1211C2×C8C23×D1112yes—
1212C2×C8C23×D1112yes—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—112no—
1219C4⋊C4—111no—
1220C4⋊C4—111no—
1221C4⋊C4—222no—
1222C4⋊C4—222no—
1223C4⋊C4—221no—
1224C4⋊C4—221no—
1225C4⋊C4—222no—
1226C4⋊C4—222no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—221no—
1230C4⋊C4—221no—
1231C4⋊C4—221no—
1232C4⋊C4—221no—
1233C4⋊C4—221no—
1234C4⋊C4—222no—
1235C4⋊C4—222no—
1236C4⋊C4—221no—
1237C4⋊C4—221no—
1238C4⋊C4C23×D1112yes—
1239C4⋊C4C23×D1111yescharacteristic
1240C4⋊C4C23×D1111yescharacteristic
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—21no—
1244C22⋊C4—21no—
1245C22⋊C4—21no—
1246C22⋊C4—21no—
1247C22⋊C4—21no—
1248C22⋊C4—221no—
1249C22⋊C4—221no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—221no—
1255C22⋊C4—221no—
1256C22⋊C4—221no—
1257C22⋊C4—221no—
1258C22⋊C4—221no—
1259C22⋊C4—221no—
1260C22⋊C4—221no—
1261C22⋊C4—221no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—221no—
1265C22⋊C4—221no—
1266C22⋊C4—221no—
1267C22⋊C4—221no—
1268C22⋊C4—221no—
1269C42—21no—
1270C42—221no—
1271C42—221no—
1272C42—221no—
1273C11C2×#319611yescharacteristic, complemented, Sylow
1274C23—22no—
1275C23—21no—
1276C23—41no—
1277C23—41no—
1278C23—111no—
1279C23—114no—
1280C23—111no—
1281C23—111no—
1282C23—111no—
1283C23—222no—
1284C23—222no—
1285C23—222no—
1286C23—222no—
1287C23—222no—
1288C23—222no—
1289C23—222no—
1290C23—222no—
1291C23—222no—
1292C23—222no—
1293C23—222no—
1294C23—221no—
1295C23—441no—
1296C23—441no—
1297C23—441no—
1298C23—441no—
1299C23—441no—
1300C23—441no—
1301C23—442no—
1302C23—442no—
1303C23—442no—
1304C23—4416no—
1305C23C2×D4×D1111yescharacteristic
1306C23C2×D4×D1111yescharacteristic
1307C23C2×D4×D1111yescharacteristic
1308Q8—22no—
1309Q8—22no—
1310Q8—22no—
1311Q8—42no—
1312Q8—222no—
1313Q8—222no—
1314Q8—222no—
1315Q8—442no—
1316Q8—444no—
1317Q8—442no—
1318Q8—444no—
1319D4—22no—
1320D4—42no—
1321D4—42no—
1322D4—42no—
1323D4—222no—
1324D4—442no—
1325D4—442no—
1326D4—442no—
1327D4—442no—
1328D4—442no—
1329D4—442no—
1330D4—442no—
1331D4—442no—
1332D4—442no—
1333D4—442no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—42no—
1346C2×C4—42no—
1347C2×C4—42no—
1348C2×C4—111no—
1349C2×C4—114no—
1350C2×C4—111no—
1351C2×C4—111no—
1352C2×C4—111no—
1353C2×C4—222no—
1354C2×C4—222no—
1355C2×C4—222no—
1356C2×C4—222no—
1357C2×C4—222no—
1358C2×C4—222no—
1359C2×C4—222no—
1360C2×C4—222no—
1361C2×C4—222no—
1362C2×C4—222no—
1363C2×C4—222no—
1364C2×C4—222no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—222no—
1368C2×C4—221no—
1369C2×C4—222no—
1370C2×C4—441no—
1371C2×C4—441no—
1372C2×C4—441no—
1373C2×C4—441no—
1374C2×C4—441no—
1375C2×C4—441no—
1376C2×C4—442no—
1377C2×C4—442no—
1378C2×C4—442no—
1379C2×C4—444no—
1380C2×C4—444no—
1381C2×C4—442no—
1382C2×C4—442no—
1383C2×C4—444no—
1384C2×C4—444no—
1385C2×C4—441no—
1386C2×C4—441no—
1387C2×C4—441no—
1388C2×C4—442no—
1389C2×C4—442no—
1390C2×C4—442no—
1391C2×C4C2×D4×D1111yescharacteristic
1392C2×C4C2×D4×D1111yescharacteristic
1393C2×C4C2×D4×D1111yescharacteristic
1394C2×C4C24×D1111yescharacteristic
1395C8—22no—
1396C8—22no—
1397C8—222no—
1398C8—222no—
1399C22—21no—
1400C22—21no—
1401C22—21no—
1402C22—21no—
1403C22—21no—
1404C22—21no—
1405C22—21no—
1406C22—21no—
1407C22—44no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—112no—
1412C22—112no—
1413C22—112no—
1414C22—112no—
1415C22—228no—
1416C22—221no—
1417C22—221no—
1418C22—221no—
1419C22—221no—
1420C22—221no—
1421C22—221no—
1422C22—221no—
1423C22—221no—
1424C22—444no—
1425C22—444no—
1426C22—444no—
1427C22—444no—
1428C22—444no—
1429C22—441no—
1430C22—441no—
1431C22—441no—
1432C22—884no—
1433C22D11×#13712yes—
1434C22C22×D4×D1111yescharacteristic
1435C4—21no—
1436C4—21no—
1437C4—21no—
1438C4—41no—
1439C4—42no—
1440C4—41no—
1441C4—42no—
1442C4—41no—
1443C4—112no—
1444C4—221no—
1445C4—221no—
1446C4—221no—
1447C4—441no—
1448C4—442no—
1449C4—441no—
1450C4—442no—
1451C4—441no—
1452C4D11×H(5,𝔽2)12yes—
1453C2—22no—
1454C2—41no—
1455C2—41no—
1456C2—81no—
1457C2—114no—
1458C2—222no—
1459C2—441no—
1460C2—441no—
1461C2—881no—
1462C2D11×#53411yescharacteristic
1463C2C2×D11×#13711yescharacteristic
1464C2D11×#57511yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3196C2
socleC22×C11C23×D4
prime radicalD11×#525C2
hypercenter#3196D11
hypocenterC11C2×#3196
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3196

Complements

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

NH ≅ G/Ntype
2. C2×D11×C22⋊Q8C2semidirect
3. #13079451C2semidirect
4. #13079450C2semidirect
5. #13079449C2semidirect
6. #13079448C2semidirect
7. #13079447C2semidirect
8. #13079446C2semidirect
9. #13079445C2semidirect
10. #13079444C2semidirect
11. #13079443C2semidirect
12. #13079442C2semidirect
13. #13079441C2semidirect
14. D11×#484C2semidirect
15. D11×#481C2semidirect
16. D11×#485C2semidirect
17. D11×#470C2semidirect
18. D11×#468C2semidirect
19. D11×#452C2semidirect
20. D11×#451C2semidirect
21. D11×#448C2semidirect
22. D11×#407C2semidirect
23. C11×#3196C2semidirect
28. C2×C11×C22⋊Q8C22semidirect
30. C2×#66999C22semidirect
32. C2×#66977C22semidirect
33. C2×Q16×D11C22semidirect
34. C2×SD16×D11C22semidirect
48. D11×C22⋊Q8C22semidirect
49. D11×C22⋊Q8C22semidirect
62. C2×#66950C22semidirect
68. C11×#485C22semidirect
69. C11×#484C22semidirect
70. C11×#481C22semidirect
71. C11×#470C22semidirect
72. C11×#468C22semidirect
73. C11×#452C22semidirect
74. C11×#451C22semidirect
75. C11×#448C22semidirect
76. C11×#407C22semidirect
77. #10622852C22semidirect
78. #10622841C22semidirect
79. #10622840C22semidirect
80. #10622820C22semidirect
81. #10622802C22semidirect
82. #10622800C22semidirect
83. #10622799C22semidirect
84. #10622787C22semidirect
85. #10622786C22semidirect
86. #10622783C22semidirect
87. #10622750C22semidirect
88. #10622747C22semidirect
89. #10622739C22semidirect
90. #10622665C22semidirect
91. #10622665C22semidirect
92. #10622663C22semidirect
93. #10622662C22semidirect
94. #10622660C22semidirect
95. #10622658C22semidirect
96. #10622657C22semidirect
97. #10622655C22semidirect
98. #10622653C22semidirect
99. #10622647C22semidirect
100. #10622609C22semidirect
101. #10622583C22semidirect
102. #10622581C22semidirect
103. #10622501C22semidirect
104. #10622499C22semidirect
105. #10622497C22semidirect
106. D11×#107C22semidirect
107. #10622481C22semidirect
108. #10622480C22semidirect
109. #10622476C22semidirect
110. D11×#106C22semidirect
111. #10622429C22semidirect
112. #10622429C22semidirect
113. #10622428C22semidirect
114. #10622427C22semidirect
115. #10622425C22semidirect
116. #10622423C22semidirect
117. #10622422C22semidirect
118. #10622421C22semidirect
119. #10622419C22semidirect
120. D11×#103C22semidirect
121. D11×#103C22semidirect
122. D11×#103C22semidirect
123. #10622396C22semidirect
124. #10622393C22semidirect
125. #10622390C22semidirect
126. D11×#102C22semidirect
127. #10622352C22semidirect
128. #10622351C22semidirect
129. #10622348C22semidirect
130. #10622346C22semidirect
131. #10622339C22semidirect
132. #10622339C22semidirect
133. #10622339C22semidirect
137. #10622336C22semidirect
138. #10622335C22semidirect
178. C2×C11×Q16C23semidirect
179. C2×C11×SD16C23semidirect
205. C2×#4326C23semidirect
206. C2×#4326C23semidirect
207. C2×#4325C23semidirect
218. C2×#4324C23semidirect
244. C2×Dic44C23semidirect
245. C2×#4314C23semidirect
314. C11×#107C23semidirect
315. C11×#106C23semidirect
316. C11×#103C23semidirect
317. C11×#103C23semidirect
318. C11×#103C23semidirect
319. C11×#102C23semidirect
323. #66899C23semidirect
324. #66899C23semidirect
325. #66899C23semidirect
326. #66896C23semidirect
330. #66885C23semidirect
335. #66882C23semidirect
336. #66881C23semidirect
337. #66880C23semidirect
338. #66880C23semidirect
339. #66880C23semidirect
340. #66874C23semidirect
341. #66874C23semidirect
342. #66874C23semidirect
343. #66873C23semidirect
344. #66872C23semidirect
345. #66872C23semidirect
346. #66871C23semidirect
347. #66871C23semidirect
555. #3196D11direct (N × H)
724. C2×C22⋊Q8C2×D11semidirect
741. #485C2×D11semidirect
747. #484C2×D11semidirect
753. #481C2×D11semidirect
761. #470C2×D11semidirect
769. #468C2×D11semidirect
777. #452C2×D11semidirect
783. #451C2×D11semidirect
789. #448C2×D11semidirect
801. #407C2×D11semidirect
902. C2×Q16C22×D11semidirect
907. C2×SD16C22×D11semidirect
1037. #107C22×D11semidirect
1041. #106C22×D11semidirect
1051. #103C22×D11semidirect
1052. #103C22×D11semidirect
1053. #103C22×D11semidirect
1057. #102C22×D11semidirect
1079. D11#3196direct (N × H)
1273. C11C2×#3196semidirect

Maximal subgroups

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

subgroupindex
D11×#5252
C2×D11×C22⋊Q82
#130794512
#130794502
#130794492
#130794482
#130794472
#130794462
#130794452
#130794442
#130794432
#130794422
#130794412
D11×#4842
D11×#4812
D11×#4852
D11×#4702
D11×#4682
D11×#4522
D11×#4512
D11×#4482
D11×#4072
C11×#31962
C2×#319611