Finite Group Databasebeta

← #15630927

Subgroups — #15630927

Order 2816.

2188 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
1C2×#10623045C211yesmaximal, characteristic, complemented
2#13082099C211yesmaximal, characteristic, complemented
3#13080872C212yesmaximal, complemented
4#13080820C212yesmaximal, complemented
5#13080785C212yesmaximal, complemented
6#13080755C212yesmaximal, complemented
7#13080625C212yesmaximal, complemented
8#13080595C212yesmaximal, complemented
9#13080516C212yesmaximal, complemented
10#13080464C212yesmaximal, complemented
11#13079014C211yesmaximal, characteristic, complemented
12#13078550C211yesmaximal, characteristic, complemented
13#13078437C211yesmaximal, characteristic, complemented
14#13078237C211yesmaximal, characteristic, complemented
15#13078236C211yesmaximal, characteristic, complemented
16#13078079C211yesmaximal, characteristic, complemented
17#13077870C211yesmaximal, characteristic, complemented
18#13077869C211yesmaximal, characteristic, complemented
19#13077423C211yesmaximal, characteristic, complemented
20#13077348C211yesmaximal, characteristic, complemented
21#13077132C211yesmaximal, characteristic, complemented
22C2×#10622579C211yesmaximal, characteristic, complemented
23C11×#3092C211yesmaximal, characteristic, complemented
24C2×#41×D11C2211yescharacteristic
25C22×#4339C2211yescharacteristic
26C11×#525C2211yescharacteristic
27C22×C11×C4⋊C4C2211yescharacteristic, complemented
28#10623363C2211yescharacteristic
29C2×#67002C2211yescharacteristic, complemented
30C2×#66983—21no—
31C2×#66983C2211yescharacteristic, complemented
32C2×C4×C22⋊D11—21no—
33C2×C4×C22⋊D11C2211yescharacteristic
34C22×#4318C2211yescharacteristic, complemented
35C2×#66961C2211yescharacteristic
36C2×#66961C2211yescharacteristic, complemented
37C2×M16×D11C2211yescharacteristic, complemented
38#10623186—21no—
39#10623185—21no—
40#10623164C2211yescharacteristic, complemented
41#10623163C2211yescharacteristic, complemented
42#10623162C2211yescharacteristic, complemented
43#10623161C2211yescharacteristic, complemented
44#10623143C2211yescharacteristic, complemented
45#10623140C2211yescharacteristic, complemented
46#10623130C2211yescharacteristic, complemented
47#10623129C2211yescharacteristic, complemented
48#10623122—21no—
49#10623121—21no—
50#10623079—21no—
51#10623078—21no—
52#10623078—21no—
53C4×D4×D11—21no—
54#10623055C2211yescharacteristic
55#10623053C2211yescharacteristic
56#10623045—21no—
57#10623045—21no—
58#10623045—21no—
59#10623045—21no—
60#10623045C2212yes—
61#10623045C2212yescomplemented
62#10623045C2212yescomplemented
63#10623045C2212yescomplemented
64C2×#66951—21no—
65C2×#66948C2211yescharacteristic, complemented
66C2×#66947—21no—
67C2×#66946C2211yescharacteristic, complemented
68C2×#66945C2211yescharacteristic, complemented
69C2×#66943C2211yescharacteristic, complemented
70C11×#484C2212yescomplemented
71C11×#483C2212yescomplemented
72C11×#481C2212yescomplemented
73C11×#480C2212yescomplemented
74C11×#428C2211yescharacteristic, complemented
75C11×#428C2211yescharacteristic, complemented
76C11×#417C2211yescharacteristic, complemented
77C11×#417C2211yescharacteristic, complemented
78C11×#407C2211yescharacteristic, complemented
79#10622845C2211yescharacteristic, complemented
80#10622746C2211yescharacteristic
81#10622746C2211yescharacteristic, complemented
82#10622739C2211yescharacteristic, complemented
83#10622731C2211yescharacteristic, complemented
84M16×Dic11C2211yescharacteristic, complemented
85#10622662C2212yescomplemented
86#10622661C2212yescomplemented
87#10622652C2212yescomplemented
88#10622651C2212yescomplemented
89#10622614C2211yescharacteristic, complemented
90#10622608C2211yescharacteristic, complemented
91C2×#66874C2212yescomplemented
92#10622579C2211yescharacteristic
93#10622579C2211yescharacteristic
94#10622579C2212yescomplemented
95#10622579C2211yescharacteristic, complemented
96#10622579C2212yescomplemented
97#10622579C2211yescharacteristic, complemented
98C2×#66873C2212yescomplemented
99#10622504C2212yescomplemented
100#10622502C2212yescomplemented
101#10622501C2212yescomplemented
102#10622499C2212yescomplemented
103#10622498C2212yescomplemented
104#10622496C2212yescomplemented
105#10622490C2212yescomplemented
106#10622485C2212yescomplemented
107#10622484C2212yescomplemented
108#10622482C2212yescomplemented
109#10622480C2212yescomplemented
110#10622479C2212yescomplemented
111#10622478C2212yescomplemented
112#10622477C2212yescomplemented
113#10622470C2212yescomplemented
114#10622465C2212yescomplemented
115#10622432C2212yescomplemented
116#10622431C2212yescomplemented
117#10622424C2212yescomplemented
118#10622419C2212yescomplemented
119#10622417C2212yescomplemented
120#10622415C2212yescomplemented
121#10622413C2212yescomplemented
122#10622410C2212yescomplemented
123#10622400C2212yescomplemented
124#10622399C2212yescomplemented
125#10622394C2212yescomplemented
126#10622386C2212yescomplemented
127#10622385C2212yescomplemented
128#10622383C2212yescomplemented
129#10622381C2212yescomplemented
130#10622377C2212yescomplemented
131#10622351C2212yescomplemented
132#10622347C2212yescomplemented
133#10622347C2212yescomplemented
134#10622345C2212yescomplemented
135#10622343C2212yescomplemented
136#10622342C2212yescomplemented
137#10622341C2212yescomplemented
138(C22⋊D11)⋊C8C2212yescomplemented
139C2×C11×#41C2311yescharacteristic
140C23×C4×C11—21no—
141C23×C4×C11C2311yescharacteristic
142C22×C22⋊D11—21no—
143C22×C22⋊D11—21no—
144C22×C22⋊D11D411yescharacteristic
145#41×D11—24no—
146#41×D11—42no—
147C2×#4343C2311yescharacteristic
148C2×Q8×D11C2311yescharacteristic
149C2×#4341—21no—
150C2×#4341C2311yescharacteristic
151C2×D4×D11—21no—
152C2×D4×D11—21no—
153C2×D4×D11C2311yescharacteristic
154C2×#4339—21no—
155C2×#4339—21no—
156C2×#4339—21no—
157C2×#4339—24no—
158C2×#4339—42no—
159C2×#4339C2311yescharacteristic
160C2×#4339C2311yescharacteristic
161C2×#4339C2311yescharacteristic
162C2×#4339C2311yescharacteristic
163C22×D44—21no—
164C22×D44C2311yescharacteristic
165C22×D44C2311yescharacteristic
166C22×C4×D11—21no—
167C22×C4×D11—21no—
168C22×C4×D11—21no—
169C22×C4×D11C2311yescharacteristic
170C22×Dic22C2311yescharacteristic
171C2×C11×M16C2311yescharacteristic
172C2×C11×M16C2311yescharacteristic
173C11×#123—21no—
174C11×C22⋊Q8C2311yescharacteristic
175C11×C22⋊Q8C2311yescharacteristic
176C11×#121C2311yescharacteristic
177C11×#121C2311yescharacteristic
178C11×#120—21no—
179C4×D4×C11—21no—
180C4×D4×C11—21no—
181C11×#117C2311yescharacteristic
182C2×C11×C4⋊C4—21no—
183C2×C11×C4⋊C4—21no—
184C2×C11×C4⋊C4—21no—
185C2×C11×C4⋊C4C2311yescharacteristic
186C2×C11×C4⋊C4C2311yescharacteristic
187C2×C11×C4⋊C4C2312yes—
188C2×C11×C4⋊C4C2312yes—
189C2×C22⋊Dic11D411yescharacteristic
190#67002—42no—
191#67000C2311yescharacteristic
192#66997C2311yescharacteristic
193C2×#4325C2312yes—
194#66993—21no—
195#66993C2311yescharacteristic
196#66992—21no—
197#66992—21no—
198#66992—21no—
199#66992—21no—
200#66991—21no—
201#66990—21no—
202#66990—21no—
203#66989C2311yescharacteristic
204D4×Dic11—21no—
205C2×#4323C2312yes—
206#66983—21no—
207#66983—21no—
208#66983—22no—
209#66983—22no—
210#66983—22no—
211#66983—22no—
212#66983C2312yes—
213#66983C2312yes—
214C4×C22⋊D11—22no—
215C4×C22⋊D11—22no—
216C4×C22⋊D11—22no—
217C4×C22⋊D11—22no—
218C4×C22⋊D11—21no—
219C4×C22⋊D11—21no—
220C4×C22⋊D11D411yescharacteristic
221C4×C22⋊D11D411yescharacteristic
222C4×C22⋊D11D411yescharacteristic
223C4×C22⋊D11D411yescharacteristic
224C4×C22⋊D11C2311yescharacteristic
225C4×C22⋊D11C2311yescharacteristic
226C4×C22⋊D11C2311yescharacteristic
227C4×C22⋊D11C2311yescharacteristic
228C2×(C2×D11)⋊C4—21no—
229C2×(C2×D11)⋊C4—21no—
230C2×(C2×D11)⋊C4—21no—
231C2×(C2×D11)⋊C4—21no—
232C2×(C2×D11)⋊C4D411yescharacteristic
233C2×C4⋊Dic11—21no—
234C2×C4⋊Dic11C2311yescharacteristic
235C2×Dic11⋊C4—21no—
236C2×Dic11⋊C4D411yescharacteristic
237C2×C4×Dic11—21no—
238C2×C4×Dic11C2311yescharacteristic
239C2×#4318—42no—
240C2×#4318C2311yescharacteristic
241C2×#4318C2311yescharacteristic
242C2×#4318C2312yes—
243C22×C11⋊C8C2312yes—
244#66961—24no—
245#66961—42no—
246M16×D11—42no—
247C2×D88C2312yes—
248C2×D88C2312yes—
249C2×#4314C2312yes—
250C2×#4314C2312yes—
251C2×#4313C2312yes—
252C2×C8×D11C2312yes—
253#66951—22no—
254#66951—22no—
255#66951—22no—
256#66951—22no—
257#66950C2311yescharacteristic
258#66950C2311yescharacteristic
259#66949—21no—
260#66949—21no—
261#66948—21no—
262#66948—21no—
263#66948—21no—
264#66948C2312yes—
265#66948C2311yescharacteristic
266#66948C2312yes—
267#66948C2311yescharacteristic
268#66947—22no—
269#66947—22no—
270#66947—22no—
271#66947—22no—
272#66947—21no—
273#66947—21no—
274#66946—21no—
275#66946—21no—
276#66946—21no—
277#66946C2312yes—
278#66946C2311yescharacteristic
279#66946C2312yes—
280#66946C2311yescharacteristic
281#66945—21no—
282#66945—21no—
283#66945C2312yes—
284#66945C2312yes—
285C4⋊C4×D11—21no—
286#66943—21no—
287#66943—21no—
288#66943C2312yes—
289#66943C2312yes—
290#66941—21no—
291#66940C2311yescharacteristic
292#66940C2311yescharacteristic
293#66939—21no—
294#66938—21no—
295#66938—21no—
296#66937—21no—
297#66937—21no—
298#66937—21no—
299#66937—21no—
300#66936—21no—
301#66936—21no—
302#66935—21no—
303#66935—21no—
304#66935—21no—
305(C22⋊D11)⋊C4—21no—
306(C22⋊D11)⋊C4—21no—
307(C22⋊D11)⋊C4—21no—
308(C22⋊D11)⋊C4—21no—
309C22⋊C4×D11—21no—
310C22⋊C4×D11—21no—
311#66931—21no—
312#66931—21no—
313C4×D44—21no—
314C4×D44—21no—
315#66925—21no—
316C42×D11—21no—
317C11×#107C2312yes—
318C11×#107C2312yes—
319C11×#106C2312yes—
320C11×#106C2312yes—
321C11×#103C2312yes—
322C11×#103C2312yes—
323C11×#102C2312yes—
324C11×#102C2312yes—
325C11×C22⋊C8C2312yes—
326C11×C22⋊C8C2312yes—
327#66899C2312yes—
328#66896C2312yes—
329#66885C2312yes—
330#66885C2312yes—
331(C2×D11)⋊C8C2312yes—
332(C2×D11)⋊C8C2312yes—
333#66880C2312yes—
334#66880C2312yes—
335#66879C2312yes—
336Dic11⋊C8C2312yes—
337Dic11⋊C8C2312yes—
338C8×Dic11C2312yes—
339#66874C2312yes—
340#66874C2312yes—
341#66874C2312yes—
342#66874C2312yes—
343#66873C2312yes—
344#66873C2312yes—
345#66873C2312yes—
346#66873C2312yes—
347#66873C2312yes—
348#66873C2312yes—
349#66872C2312yes—
350#66871C2312yes—
351#61164—111nomaximal, Sylow
352C24×C11C2×D411yescharacteristic
353C23×D11—21no—
354C23×D11—21no—
355C23×D11—21no—
356C23×D11C2×D411yescharacteristic
357C11×#41—22no—
358C11×#41—22no—
359C2×Q8×C11C2411yescharacteristic
360C2×D4×C11—21no—
361C2×D4×C11—21no—
362C2×D4×C11—21no—
363C2×D4×C11C2411yescharacteristic
364C22×C4×C11—22no—
365C22×C4×C11—22no—
366C22×C4×C11—21no—
367C22×C4×C11—21no—
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—21no—
371C22×C4×C11—82no—
372C22×C4×C11C2×D411yescharacteristic
373C22×C4×C11C2×D411yescharacteristic
374C22×C4×C11C2×D411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C2×C22⋊D11—21no—
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—22no—
386C2×C22⋊D11—22no—
387C2×C22⋊D11—21no—
388C2×C22⋊D11—42no—
389C2×C22⋊D11—44no—
390C2×C22⋊D11—44no—
391C2×C22⋊D11C2×D411yescharacteristic
392C2×C22⋊D11C2×D411yescharacteristic
393C2×C22⋊D11C2×D411yescharacteristic
394C2×C22⋊D11C2×D411yescharacteristic
395C22×Dic11—21no—
396C22×Dic11—21no—
397C22×Dic11—21no—
398C22×Dic11C2×D411yescharacteristic
399C22×Dic11C2×D411yescharacteristic
400C22×Dic11C2×D411yescharacteristic
401#4343—22no—
402#4343—41no—
403Q8×D11—22no—
404Q8×D11—41no—
405#4341—22no—
406#4341—41no—
407#4341—44no—
408D4×D11—22no—
409D4×D11—41no—
410D4×D11—44no—
411D4×D11—44no—
412#4339—22no—
413#4339—22no—
414#4339—22no—
415#4339—22no—
416#4339—22no—
417#4339—41no—
418#4339—41no—
419#4339—44no—
420#4339—44no—
421#4339—44no—
422#4339#4114yes—
423C2×D44—21no—
424C2×D44—21no—
425C2×D44—21no—
426C2×D44—22no—
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—21no—
430C2×D44—21no—
431C2×D44—22no—
432C2×D44—22no—
433C2×D44—41no—
434C2×D44—82no—
435C2×D44C2411yescharacteristic
436C2×D44C2412yes—
437C2×D44C2411yescharacteristic
438C2×C4×D11—21no—
439C2×C4×D11—21no—
440C2×C4×D11—21no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—21no—
444C2×C4×D11—21no—
445C2×C4×D11—21no—
446C2×C4×D11—21no—
447C2×C4×D11—21no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—44no—
451C2×C4×D11—44no—
452C2×C4×D11—82no—
453C2×C4×D11C2×D411yescharacteristic
454C2×C4×D11C2×D411yescharacteristic
455C2×C4×D11C2411yescharacteristic
456C2×C4×D11C2411yescharacteristic
457C2×Dic22—22no—
458C2×Dic22—21no—
459C2×Dic22—21no—
460C2×Dic22—41no—
461C2×Dic22C2411yescharacteristic
462C2×Dic22C2411yescharacteristic
463C11×M16—22no—
464C11×M16—22no—
465C2×C8×C11C2412yes—
466C2×C8×C11C2412yes—
467C11×C4⋊C4—21no—
468C11×C4⋊C4—21no—
469C11×C4⋊C4—21no—
470C11×C4⋊C4—21no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4C2411yescharacteristic
474C11×C4⋊C4C2411yescharacteristic
475C11×C4⋊C4C2412yes—
476C11×C4⋊C4C2412yes—
477C11×C22⋊C4—21no—
478C11×C22⋊C4—21no—
479C11×C22⋊C4—21no—
480C11×C22⋊C4—21no—
481C11×C22⋊C4—21no—
482C42×C11—21no—
483C22⋊Dic11—21no—
484C22⋊Dic11—21no—
485C22⋊Dic11C2×D411yescharacteristic
486C22⋊Dic11C2×D411yescharacteristic
487C22⋊Dic11C2×D411yescharacteristic
488C22⋊Dic11C2×D411yescharacteristic
489#4325—42no—
490#4323—42no—
491(C2×D11)⋊C4—21no—
492(C2×D11)⋊C4—21no—
493(C2×D11)⋊C4—21no—
494(C2×D11)⋊C4—21no—
495(C2×D11)⋊C4—21no—
496(C2×D11)⋊C4—21no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—21no—
502(C2×D11)⋊C4—21no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4C2×D411yescharacteristic
508(C2×D11)⋊C4C2×D411yescharacteristic
509(C2×D11)⋊C4C2×D411yescharacteristic
510(C2×D11)⋊C4C2×D411yescharacteristic
511C4⋊Dic11—21no—
512C4⋊Dic11—21no—
513C4⋊Dic11—22no—
514C4⋊Dic11—22no—
515C4⋊Dic11—21no—
516C4⋊Dic11C2412yes—
517Dic11⋊C4—21no—
518Dic11⋊C4—21no—
519Dic11⋊C4—21no—
520Dic11⋊C4—21no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4C2×D411yescharacteristic
524Dic11⋊C4C2×D411yescharacteristic
525Dic11⋊C4C2×D411yescharacteristic
526Dic11⋊C4C2×D411yescharacteristic
527C4×Dic11—21no—
528C4×Dic11—21no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11C2×D411yescharacteristic
532C4×Dic11C2×D411yescharacteristic
533C4×Dic11C2411yescharacteristic
534C4×Dic11C2411yescharacteristic
535#4318—22no—
536#4318—22no—
537#4318—42no—
538C2×C11⋊C8—42no—
539C2×C11⋊C8C2412yes—
540C2×C11⋊C8C2412yes—
541D88—24no—
542D88—42no—
543#4314—24no—
544#4314—42no—
545#4313—42no—
546C8×D11—42no—
547C2×#553—111no—
548D4×#41—111no—
549#3326—112no—
550#3322—112no—
551#3320—112no—
552#3318—112no—
553#3309—112no—
554#3307—112no—
555#3301—112no—
556#3297—112no—
557#3142—111no—
558#3093—111no—
559#3092D1111yescharacteristic, complemented
560#3080—111no—
561#3055—111no—
562#3055—111no—
563#3036—111no—
564#3006—111no—
565#3006—111no—
566C4×AGL(1,ℤ/8)—111no—
567D4×M16—111no—
568#2896—111no—
569C2×#417—111no—
570C23×C11—22no—
571C23×C11—22no—
572C23×C11—21no—
573C23×C11—41no—
574C23×C11C22×D411yescharacteristic
575C23×C11C22×D411yescharacteristic
576C23×C11C22×D411yescharacteristic
577C22×D11—21no—
578C22×D11—22no—
579C22×D11—22no—
580C22×D11—21no—
581C22×D11—41no—
582C22×D11—41no—
583C22×D11—42no—
584C22×D11—42no—
585C22×D11—42no—
586C22×D11—42no—
587C22×D11—42no—
588C22×D11—42no—
589C22×D11—42no—
590C22×D11—81no—
591C22×D11—81no—
592C22×D11C22×D411yescharacteristic
593C22×D11C22×D411yescharacteristic
594Q8×C11—21no—
595Q8×C11—21no—
596D4×C11—21no—
597D4×C11—21no—
598D4×C11—42no—
599D4×C11—42no—
600D4×C11—81no—
601C2×C4×C11—22no—
602C2×C4×C11—22no—
603C2×C4×C11—22no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—22no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—22no—
612C2×C4×C11—21no—
613C2×C4×C11—42no—
614C2×C4×C11—42no—
615C2×C4×C11—42no—
616C2×C4×C11—82no—
617C2×C4×C11—82no—
618C2×C4×C11C22×D411yescharacteristic
619C2×C4×C11C22×D411yescharacteristic
620C2×C4×C11C22×D411yescharacteristic
621C2×C4×C11C2×#4112yes—
622C2×C4×C11H(5,𝔽2)12yes—
623C2×C4×C11C2511yescharacteristic
624C22⋊D11—24no—
625C22⋊D11—22no—
626C22⋊D11—22no—
627C22⋊D11—41no—
628C22⋊D11—41no—
629C22⋊D11—42no—
630C22⋊D11—42no—
631C22⋊D11—42no—
632C22⋊D11—42no—
633C22⋊D11—42no—
634C22⋊D11—44no—
635C22⋊D11—42no—
636C22⋊D11—44no—
637C22⋊D11—81no—
638C2×Dic11—22no—
639C2×Dic11—21no—
640C2×Dic11—22no—
641C2×Dic11—21no—
642C2×Dic11—41no—
643C2×Dic11—41no—
644C2×Dic11—42no—
645C2×Dic11—42no—
646C2×Dic11—42no—
647C2×Dic11C22×D411yescharacteristic
648C2×Dic11C22×D411yescharacteristic
649C2×Dic11C22×D411yescharacteristic
650C2×Dic11C22×D411yescharacteristic
651C2×Dic11C22×D411yescharacteristic
652C2×Dic11C22×D411yescharacteristic
653D44—22no—
654D44—21no—
655D44—21no—
656D44—22no—
657D44—21no—
658D44—42no—
659D44—42no—
660D44—42no—
661D44—42no—
662D44—81no—
663D44—82no—
664D44—82no—
665D44C2×#4112yes—
666C4×D11—22no—
667C4×D11—22no—
668C4×D11—24no—
669C4×D11—21no—
670C4×D11—21no—
671C4×D11—21no—
672C4×D11—21no—
673C4×D11—42no—
674C4×D11—42no—
675C4×D11—42no—
676C4×D11—42no—
677C4×D11—42no—
678C4×D11—42no—
679C4×D11—81no—
680C4×D11—82no—
681C4×D11—82no—
682Dic22—21no—
683Dic22—21no—
684Dic22—21no—
685Dic22—42no—
686Dic22—42no—
687Dic22C2×#4112yes—
688C8×C11—22no—
689C8×C11—22no—
690C11⋊C8—22no—
691C11⋊C8—22no—
692C22×#41—111no—
693C22×#41—111no—
694C2×AGL(1,ℤ/8)—111no—
695C2×AGL(1,ℤ/8)—111no—
696C2×AGL(1,ℤ/8)—111no—
697C22×M16—111no—
698C22×M16—111no—
699#553—112no—
700#553—112no—
701#553—112no—
702#553—112no—
703#553—221no—
704#553—221no—
705#553—221no—
706#553—221no—
707#550—111no—
708D4×Q8—111no—
709#548—111no—
710#548—111no—
711#547—111no—
712#547—221no—
713#546—111no—
714#546—111no—
715#546—221no—
716#546—221no—
717D42—111no—
718D42—221no—
719#532—111no—
720#532—221no—
721C2×#126—221no—
722C2×#125—111no—
723#525—111no—
724#525—221no—
725#525—221no—
726#525C2×D1111yescharacteristic
727C2×#123—221no—
728C2×#121—111no—
729C2×#121—111no—
730C2×#121—221no—
731C4×#41—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C2×C4×D4—221no—
735C2×C4×D4—221no—
736C2×#117—111no—
737C22×C4⋊C4C2×D1111yescharacteristic, complemented
738#491—112no—
739#490—112no—
740#488—112no—
741#488—112no—
742#485—112no—
743#485—112no—
744#484C2×D1112yescomplemented
745#483C2×D1112yescomplemented
746#482—112no—
747#482—112no—
748#481C2×D1112yescomplemented
749#480C2×D1112yescomplemented
750#479—112no—
751#479—112no—
752#478—112no—
753#478—112no—
754#469—112no—
755#469—112no—
756#468—112no—
757#468—112no—
758#466—112no—
759#466—112no—
760#465—112no—
761#465—112no—
762#463—112no—
763#463—112no—
764#461—112no—
765#459—112no—
766#449—112no—
767#449—112no—
768#449—112no—
769#449—112no—
770#448—112no—
771#448—112no—
772#447—112no—
773#447—112no—
774#442—112no—
775#440—112no—
776C4×SD16—112no—
777C4×D8—112no—
778#436—112no—
779#435—112no—
780#435—112no—
781C8×D4—112no—
782#428—111no—
783#428C2×D1111yescharacteristic, complemented
784#428C2×D1111yescharacteristic, complemented
785#423—111no—
786#419—112no—
787#418—111no—
788#418—112no—
789#417—111no—
790#417—111no—
791#417—111no—
792#417—111no—
793#417—111no—
794#417—111no—
795#417—111no—
796#417—112no—
797#417—112no—
798#417C2×D1111yescharacteristic, complemented
799#417C2×D1111yescharacteristic, complemented
800#416—112no—
801#416—112no—
802C2×#103—112no—
803C2×#102—112no—
804#407—111no—
805#407C2×D1111yescharacteristic, complemented
806C4×M16—111no—
807C22×C11—21no—
808C22×C11—21no—
809C22×C11—21no—
810C22×C11—21no—
811C22×C11—21no—
812C22×C11—21no—
813C22×C11—21no—
814C22×C11—44no—
815C22×C11—41no—
816C22×C11—41no—
817C22×C11—41no—
818C22×C11#54612yes—
819C22×C11#57512yes—
820C22×C11C23×D411yescharacteristic
821C2×D11—21no—
822C2×D11—21no—
823C2×D11—21no—
824C2×D11—21no—
825C2×D11—22no—
826C2×D11—21no—
827C2×D11—21no—
828C2×D11—41no—
829C2×D11—41no—
830C2×D11—42no—
831C2×D11—41no—
832C2×D11—41no—
833C2×D11—42no—
834C2×D11—41no—
835C2×D11—42no—
836C2×D11—82no—
837C2×D11—84no—
838C2×D11—84no—
839C2×D11—84no—
840C4×C11—21no—
841C4×C11—21no—
842C4×C11—42no—
843C4×C11—42no—
844C4×C11—41no—
845C4×C11—41no—
846C4×C11—41no—
847C4×C11#54612yes—
848C4×C11C22×#4111yescharacteristic
849C4×C11C2×H(5,𝔽2)11yescharacteristic
850Dic11—21no—
851Dic11—21no—
852Dic11—22no—
853Dic11—21no—
854Dic11—21no—
855Dic11—21no—
856Dic11—21no—
857Dic11—41no—
858Dic11—42no—
859C2×#41—111no—
860C2×#41—111no—
861C2×#41—111no—
862C2×#41—111no—
863C2×#41—111no—
864C2×#41—111no—
865C2×#41—221no—
866C2×#41—224no—
867C2×#41—221no—
868C2×#41—221no—
869C2×#41—221no—
870C2×#41—224no—
871C2×#41—442no—
872C2×#41—442no—
873C2×#41C22×D1111yescharacteristic
874C22×Q8—111no—
875C22×Q8—111no—
876C22×D4—111no—
877C22×D4—111no—
878C22×D4—111no—
879C22×D4—111no—
880C22×D4—221no—
881C22×D4—221no—
882C22×D4—221no—
883C22×D4—221no—
884C22×D4—221no—
885C23×C4—21no—
886C23×C4—111no—
887C23×C4—221no—
888C23×C4—221no—
889C23×C4—221no—
890C23×C4C22×D1111yescharacteristic
891AGL(1,ℤ/8)—224no—
892AGL(1,ℤ/8)—442no—
893AGL(1,ℤ/8)—442no—
894C2×SD16—112no—
895C2×SD16—112no—
896C2×SD16—112no—
897C2×D8—112no—
898C2×D8—112no—
899C2×D8—112no—
900C2×M16—111no—
901C2×M16—111no—
902C2×M16—112no—
903C2×M16—112no—
904C2×M16—442no—
905C2×M16—442no—
906C2×M16C22×D1111yescharacteristic
907C2×M16C22×D1111yescharacteristic
908C22×C8—112no—
909C22×C8—112no—
910C4⋊Q8—111no—
911C4⋊Q8—221no—
912#127—111no—
913#127—221no—
914#126—222no—
915#126—222no—
916#126—222no—
917#126—222no—
918#125—112no—
919#125—112no—
920#125—221no—
921#125—221no—
922#124—111no—
923#124—111no—
924#124—221no—
925#124—221no—
926#123—21no—
927#123—221no—
928#123—221no—
929#123—221no—
930#123—222no—
931#123—222no—
932#123—222no—
933#123—222no—
934#123—221no—
935#123—221no—
936C22⋊Q8—111no—
937C22⋊Q8—111no—
938C22⋊Q8—221no—
939C22⋊Q8—221no—
940C22⋊Q8—221no—
941C22⋊Q8—221no—
942C22⋊Q8C22×D1111yescharacteristic
943C22⋊Q8C22×D1111yescharacteristic
944#121—112no—
945#121—112no—
946#121—112no—
947#121—112no—
948#121—111no—
949#121—111no—
950#121—221no—
951#121—221no—
952#121—221no—
953#121—221no—
954#121—221no—
955#121—221no—
956#121—221no—
957#121—221no—
958#121—221no—
959#121—222no—
960#121—222no—
961#121—222no—
962#121—222no—
963#121—221no—
964#121—221no—
965#121—221no—
966#121—221no—
967#121—221no—
968#121C22×D1111yescharacteristic
969#121C22×D1111yescharacteristic
970#120—21no—
971#120—221no—
972#120—221no—
973#120—221no—
974#120—221no—
975#120—221no—
976C4×Q8—111no—
977C4×Q8—111no—
978C4×D4—21no—
979C4×D4—21no—
980C4×D4—111no—
981C4×D4—111no—
982C4×D4—111no—
983C4×D4—111no—
984C4×D4—111no—
985C4×D4—111no—
986C4×D4—111no—
987C4×D4—111no—
988C4×D4—112no—
989C4×D4—112no—
990C4×D4—111no—
991C4×D4—111no—
992C4×D4—221no—
993C4×D4—221no—
994C4×D4—221no—
995C4×D4—221no—
996C4×D4—221no—
997C4×D4—221no—
998C4×D4—221no—
999C4×D4—221no—
1000C4×D4—221no—
1001C4×D4—221no—
1002C4×D4—221no—
1003C4×D4—222no—
1004C4×D4—222no—
1005C4×D4—222no—
1006C4×D4—222no—
1007C4×D4—221no—
1008#117—112no—
1009#117—112no—
1010#117—221no—
1011#117—221no—
1012#117—221no—
1013#117C22×D1111yescharacteristic
1014C2×C4⋊C4—21no—
1015C2×C4⋊C4—21no—
1016C2×C4⋊C4—21no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—221no—
1020C2×C4⋊C4—221no—
1021C2×C4⋊C4—221no—
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1112yes—
1025C2×C4⋊C4C22×D1112yes—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—221no—
1029C2×C22⋊C4—221no—
1030C2×C22⋊C4—221no—
1031C2×C22⋊C4—221no—
1032C2×C22⋊C4—221no—
1033C2×C22⋊C4—221no—
1034C2×C42—111no—
1035C2×C42—221no—
1036C2×C42—221no—
1037#107—112no—
1038#107C22×D1112yes—
1039#107C22×D1112yes—
1040#106—112no—
1041#106C22×D1112yes—
1042#106C22×D1112yes—
1043C4⋊C8—112no—
1044C4⋊C8—112no—
1045#103—112no—
1046#103—112no—
1047#103—112no—
1048#103—112no—
1049#103—112no—
1050#103—112no—
1051#103—112no—
1052#103C22×D1112yes—
1053#103C22×D1112yes—
1054#102—112no—
1055#102—112no—
1056#102—112no—
1057#102—112no—
1058#102—112no—
1059#102—112no—
1060#102—112no—
1061#102—112no—
1062#102—112no—
1063#102C22×D1112yes—
1064#102C22×D1112yes—
1065C22⋊C8—112no—
1066C22⋊C8—112no—
1067C22⋊C8C22×D1112yes—
1068C22⋊C8C22×D1112yes—
1069#97—112no—
1070C4×C8—112no—
1071C2×C11—22no—
1072C2×C11—22no—
1073C2×C11—41no—
1074C2×C11—81no—
1075C2×C11C2×#54611yescharacteristic
1076C2×C11C2×#57511yescharacteristic
1077C2×C11#358511yescharacteristic
1078D11—41no—
1079D11—41no—
1080D11—42no—
1081D11—82no—
1082D11—81no—
1083C24—111no—
1084C24—221no—
1085C24—221no—
1086C24—221no—
1087C24D4×D1111yescharacteristic
1088#41—22no—
1089#41—22no—
1090#41—114no—
1091#41—222no—
1092#41—222no—
1093#41—222no—
1094#41—222no—
1095#41—222no—
1096#41—222no—
1097#41—222no—
1098#41—444no—
1099#41—441no—
1100#41—441no—
1101#41—444no—
1102#41—444no—
1103#41—441no—
1104#41—444no—
1105#41—441no—
1106C2×Q8—111no—
1107C2×Q8—111no—
1108C2×Q8—221no—
1109C2×Q8—222no—
1110C2×Q8—221no—
1111C2×Q8—222no—
1112C2×Q8—441no—
1113C2×Q8—441no—
1114C2×Q8C23×D1111yescharacteristic
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—111no—
1119C2×D4—111no—
1120C2×D4—111no—
1121C2×D4—111no—
1122C2×D4—111no—
1123C2×D4—111no—
1124C2×D4—112no—
1125C2×D4—222no—
1126C2×D4—221no—
1127C2×D4—221no—
1128C2×D4—221no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—221no—
1132C2×D4—221no—
1133C2×D4—221no—
1134C2×D4—222no—
1135C2×D4—221no—
1136C2×D4—221no—
1137C2×D4—222no—
1138C2×D4—222no—
1139C2×D4—221no—
1140C2×D4—221no—
1141C2×D4—221no—
1142C2×D4—221no—
1143C2×D4—221no—
1144C2×D4—222no—
1145C2×D4—222no—
1146C2×D4—441no—
1147C2×D4—441no—
1148C2×D4—444no—
1149C2×D4—444no—
1150C2×D4—442no—
1151C2×D4—444no—
1152C2×D4—444no—
1153C2×D4—882no—
1154C2×D4C23×D1111yescharacteristic
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—21no—
1162C22×C4—82no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—221no—
1171C22×C4—221no—
1172C22×C4—221no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—221no—
1176C22×C4—221no—
1177C22×C4—221no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—221no—
1181C22×C4—221no—
1182C22×C4—221no—
1183C22×C4—221no—
1184C22×C4—221no—
1185C22×C4—444no—
1186C22×C4—444no—
1187C22×C4—882no—
1188C22×C4D4×D1111yescharacteristic
1189C22×C4D4×D1111yescharacteristic
1190C22×C4D4×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194SD16—224no—
1195SD16—442no—
1196SD16—442no—
1197D8—224no—
1198D8—442no—
1199D8—442no—
1200M16—22no—
1201M16—22no—
1202M16—222no—
1203M16—222no—
1204M16—442no—
1205M16—442no—
1206C2×C8—112no—
1207C2×C8—112no—
1208C2×C8—442no—
1209C2×C8—442no—
1210C2×C8C23×D1112yes—
1211C2×C8C23×D1112yes—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—111no—
1219C4⋊C4—111no—
1220C4⋊C4—111no—
1221C4⋊C4—111no—
1222C4⋊C4—112no—
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⋊C4C23×D1112yes—
1235C4⋊C4C23×D1112yes—
1236C4⋊C4C23×D1111yescharacteristic
1237C4⋊C4C23×D1111yescharacteristic
1238C22⋊C4—21no—
1239C22⋊C4—21no—
1240C22⋊C4—21no—
1241C22⋊C4—21no—
1242C22⋊C4—21no—
1243C22⋊C4—111no—
1244C22⋊C4—111no—
1245C22⋊C4—111no—
1246C22⋊C4—111no—
1247C22⋊C4—111no—
1248C22⋊C4—111no—
1249C22⋊C4—111no—
1250C22⋊C4—111no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—221no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—221no—
1257C22⋊C4—221no—
1258C22⋊C4—221no—
1259C22⋊C4—221no—
1260C22⋊C4—221no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—221no—
1264C22⋊C4—221no—
1265C22⋊C4—221no—
1266C22⋊C4—221no—
1267C22⋊C4—222no—
1268C22⋊C4—222no—
1269C42—21no—
1270C42—111no—
1271C42—111no—
1272C42—111no—
1273C42—111no—
1274C42—222no—
1275C42—222no—
1276C42—221no—
1277C42—221no—
1278C11#6116411yescharacteristic, complemented, Sylow
1279C23—22no—
1280C23—22no—
1281C23—21no—
1282C23—41no—
1283C23—111no—
1284C23—111no—
1285C23—221no—
1286C23—222no—
1287C23—222no—
1288C23—221no—
1289C23—441no—
1290C23—441no—
1291C23—442no—
1292C23—442no—
1293C23—442no—
1294C23—442no—
1295C23—442no—
1296C23—442no—
1297C23—442no—
1298C23—881no—
1299C23—881no—
1300C23C2×D4×D1111yescharacteristic
1301C23C2×D4×D1111yescharacteristic
1302C23C2×D4×D1111yescharacteristic
1303Q8—21no—
1304Q8—21no—
1305Q8—112no—
1306Q8—221no—
1307Q8—221no—
1308Q8—221no—
1309Q8—442no—
1310Q8—442no—
1311D4—21no—
1312D4—21no—
1313D4—42no—
1314D4—42no—
1315D4—81no—
1316D4—112no—
1317D4—222no—
1318D4—222no—
1319D4—224no—
1320D4—222no—
1321D4—221no—
1322D4—221no—
1323D4—222no—
1324D4—221no—
1325D4—442no—
1326D4—442no—
1327D4—442no—
1328D4—441no—
1329D4—441no—
1330D4—442no—
1331D4—442no—
1332D4—442no—
1333D4—442no—
1334D4—442no—
1335D4—444no—
1336D4—444no—
1337D4—442no—
1338D4—442no—
1339D4—882no—
1340D4—882no—
1341D4—881no—
1342D4—881no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—22no—
1355C2×C4—42no—
1356C2×C4—42no—
1357C2×C4—42no—
1358C2×C4—82no—
1359C2×C4—82no—
1360C2×C4—111no—
1361C2×C4—111no—
1362C2×C4—111no—
1363C2×C4—111no—
1364C2×C4—111no—
1365C2×C4—111no—
1366C2×C4—222no—
1367C2×C4—221no—
1368C2×C4—222no—
1369C2×C4—222no—
1370C2×C4—224no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—222no—
1376C2×C4—221no—
1377C2×C4—442no—
1378C2×C4—442no—
1379C2×C4—442no—
1380C2×C4—442no—
1381C2×C4—442no—
1382C2×C4—441no—
1383C2×C4—441no—
1384C2×C4—442no—
1385C2×C4—442no—
1386C2×C4—442no—
1387C2×C4—442no—
1388C2×C4—882no—
1389C2×C4—882no—
1390C2×C4—881no—
1391C2×C4C2×D4×D1111yescharacteristic
1392C2×C4C2×D4×D1111yescharacteristic
1393C2×C4C2×D4×D1111yescharacteristic
1394C2×C4#41×D1112yes—
1395C2×C4#6704212yes—
1396C2×C4C24×D1111yescharacteristic
1397C8—22no—
1398C8—22no—
1399C8—222no—
1400C8—222no—
1401C22—21no—
1402C22—21no—
1403C22—21no—
1404C22—21no—
1405C22—21no—
1406C22—21no—
1407C22—21no—
1408C22—44no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—221no—
1413C22—221no—
1414C22—221no—
1415C22—221no—
1416C22—222no—
1417C22—221no—
1418C22—221no—
1419C22—441no—
1420C22—441no—
1421C22—442no—
1422C22—441no—
1423C22—441no—
1424C22—442no—
1425C22—441no—
1426C22—442no—
1427C22—882no—
1428C22—884no—
1429C22—884no—
1430C22—884no—
1431C22#1062318512yes—
1432C22#1062330812yes—
1433C22C22×D4×D1111yescharacteristic
1434C4—21no—
1435C4—21no—
1436C4—42no—
1437C4—42no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—221no—
1442C4—221no—
1443C4—221no—
1444C4—221no—
1445C4—222no—
1446C4—221no—
1447C4—221no—
1448C4—441no—
1449C4—442no—
1450C4#1062318512yes—
1451C4C2×#41×D1111yescharacteristic
1452C4C2×#6704211yescharacteristic
1453C2—22no—
1454C2—22no—
1455C2—41no—
1456C2—81no—
1457C2—441no—
1458C2—441no—
1459C2—442no—
1460C2—882no—
1461C2—881no—
1462C2C2×#1062318511yescharacteristic
1463C2C2×#1062330811yescharacteristic
1464C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3092C2
socleC22×C11C23×D4
hypercenter#3092D11
hypocenterC11#61164
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3092

Complements

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

NH ≅ G/Ntype
1. C2×#10623045C2semidirect
2. #13082099C2semidirect
3. #13080872C2semidirect
4. #13080820C2semidirect
5. #13080785C2semidirect
6. #13080755C2semidirect
7. #13080625C2semidirect
8. #13080595C2semidirect
9. #13080516C2semidirect
10. #13080464C2semidirect
11. #13079014C2semidirect
12. #13078550C2semidirect
13. #13078437C2semidirect
14. #13078237C2semidirect
15. #13078236C2semidirect
16. #13078079C2semidirect
17. #13077870C2semidirect
18. #13077869C2semidirect
19. #13077423C2semidirect
20. #13077348C2semidirect
21. #13077132C2semidirect
22. C2×#10622579C2semidirect
23. C11×#3092C2semidirect
27. C22×C11×C4⋊C4C22semidirect
29. C2×#67002C22semidirect
31. C2×#66983C22semidirect
34. C22×#4318C22semidirect
36. C2×#66961C22semidirect
37. C2×M16×D11C22semidirect
40. #10623164C22semidirect
41. #10623163C22semidirect
42. #10623162C22semidirect
43. #10623161C22semidirect
44. #10623143C22semidirect
45. #10623140C22semidirect
46. #10623130C22semidirect
47. #10623129C22semidirect
61. #10623045C22semidirect
62. #10623045C22semidirect
63. #10623045C22semidirect
65. C2×#66948C22semidirect
67. C2×#66946C22semidirect
68. C2×#66945C22semidirect
69. C2×#66943C22semidirect
70. C11×#484C22semidirect
71. C11×#483C22semidirect
72. C11×#481C22semidirect
73. C11×#480C22semidirect
74. C11×#428C22semidirect
75. C11×#428C22semidirect
76. C11×#417C22semidirect
77. C11×#417C22semidirect
78. C11×#407C22semidirect
79. #10622845C22semidirect
81. #10622746C22semidirect
82. #10622739C22semidirect
83. #10622731C22semidirect
84. M16×Dic11C22semidirect
85. #10622662C22semidirect
86. #10622661C22semidirect
87. #10622652C22semidirect
88. #10622651C22semidirect
89. #10622614C22semidirect
90. #10622608C22semidirect
91. C2×#66874C22semidirect
94. #10622579C22semidirect
95. #10622579C22semidirect
96. #10622579C22semidirect
97. #10622579C22semidirect
98. C2×#66873C22semidirect
99. #10622504C22semidirect
100. #10622502C22semidirect
101. #10622501C22semidirect
102. #10622499C22semidirect
103. #10622498C22semidirect
104. #10622496C22semidirect
105. #10622490C22semidirect
106. #10622485C22semidirect
107. #10622484C22semidirect
108. #10622482C22semidirect
109. #10622480C22semidirect
110. #10622479C22semidirect
111. #10622478C22semidirect
112. #10622477C22semidirect
113. #10622470C22semidirect
114. #10622465C22semidirect
115. #10622432C22semidirect
116. #10622431C22semidirect
117. #10622424C22semidirect
118. #10622419C22semidirect
119. #10622417C22semidirect
120. #10622415C22semidirect
121. #10622413C22semidirect
122. #10622410C22semidirect
123. #10622400C22semidirect
124. #10622399C22semidirect
125. #10622394C22semidirect
126. #10622386C22semidirect
127. #10622385C22semidirect
128. #10622383C22semidirect
129. #10622381C22semidirect
130. #10622377C22semidirect
131. #10622351C22semidirect
132. #10622347C22semidirect
133. #10622347C22semidirect
134. #10622345C22semidirect
135. #10622343C22semidirect
136. #10622342C22semidirect
137. #10622341C22semidirect
138. (C22⋊D11)⋊C8C22semidirect
559. #3092D11semidirect
737. C22×C4⋊C4C2×D11semidirect
744. #484C2×D11semidirect
745. #483C2×D11semidirect
748. #481C2×D11semidirect
749. #480C2×D11semidirect
783. #428C2×D11semidirect
784. #428C2×D11semidirect
798. #417C2×D11semidirect
799. #417C2×D11semidirect
805. #407C2×D11semidirect
1278. C11#61164semidirect

Maximal subgroups

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

subgroupindex
C2×#106230452
#130820992
#130808722
#130808202
#130807852
#130807552
#130806252
#130805952
#130805162
#130804642
#130790142
#130785502
#130784372
#130782372
#130782362
#130780792
#130778702
#130778692
#130774232
#130773482
#130771322
C2×#106225792
C11×#30922
#6116411