Finite Group Databasebeta

← #15623285

Subgroups — #15623285

Order 2816.

3350 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623308C211yesmaximal, characteristic, complemented
2C2×#10623299C211yesmaximal, characteristic, complemented
3C22×#66967C211yesmaximal, characteristic, complemented
4C2×D11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
5#13081948C211yesmaximal, characteristic, complemented
6D11×#535C211yesmaximal, characteristic, complemented
7#13079103C211yesmaximal, characteristic, complemented
8#13079102C211yesmaximal, characteristic, complemented
9#13079101C211yesmaximal, characteristic, complemented
10#13079100C212yesmaximal, complemented
11#13079099C211yesmaximal, characteristic, complemented
12#13079098C212yesmaximal, complemented
13#13079095C211yesmaximal, characteristic, complemented
14#13079094C211yesmaximal, characteristic, complemented
15#13079091C212yesmaximal, complemented
16#13079086C211yesmaximal, characteristic, complemented
17#13079085C212yesmaximal, complemented
18#13079079C212yesmaximal, complemented
19#13079077C212yesmaximal, complemented
20#13079065C212yesmaximal, complemented
21#13079063C212yesmaximal, complemented
22#13077032C211yesmaximal, characteristic, complemented
23C11×#3154C211yesmaximal, characteristic, complemented
24C2×#41×D11C2211yescharacteristic
25C2×#41×D11C2211yescharacteristic
26C22×#4343C2211yescharacteristic
27C22×D4×D11C2211yescharacteristic
28C2×C11×#137C2211yescharacteristic, complemented
29C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
30C2×C11×#135C2211yescharacteristic, complemented
31C22×C11×SD16C2211yescharacteristic, complemented
32C11×#536C2211yescharacteristic, complemented
33C11×#535C2211yescharacteristic, complemented
34#10623361C2211yescharacteristic, complemented
35#10623361C2211yescharacteristic, complemented
36C2×#67003C2211yescharacteristic, complemented
37C2×#67003C2211yescharacteristic, complemented
38C2×#67002C2211yescharacteristic, complemented
39C2×#67002C2211yescharacteristic, complemented
40#10623347C2211yescharacteristic, complemented
41C2×#66995C2211yescharacteristic, complemented
42C22×#4325C2211yescharacteristic, complemented
43#10623336C2211yescharacteristic, complemented
44C2×#66985C2211yescharacteristic, complemented
45C22×#4323C2211yescharacteristic, complemented
46#10623308—28no—
47D11×AGL(1,ℤ/8)—28no—
48#10623299—28no—
49C2×#66972C2212yescomplemented
50C2×#66971C2212yescomplemented
51C2×#66971C2211yescharacteristic, complemented
52C2×#66971C2211yescharacteristic, complemented
53C2×#66969C2212yescomplemented
54C2×#66968C2211yescharacteristic, complemented
55C2×#66968C2211yescharacteristic, complemented
56C2×#66967—28no—
57C2×#66967C2212yescomplemented
58C2×#66967C2212yescomplemented
59C2×#66967C2212yescomplemented
60C2×#66967C2212yescomplemented
61C2×#66967C2212yescomplemented
62C2×#66967C2211yescharacteristic, complemented
63C2×#66967C2212yescomplemented
64C2×#66967C2211yescharacteristic, complemented
65C2×SD16×D11C2212yescomplemented
66C2×#66964C2212yescomplemented
67C2×#66964C2211yescharacteristic, complemented
68C2×#66964C2211yescharacteristic, complemented
69C2×D8×D11C2212yescomplemented
70C2×#66961C2211yescharacteristic, complemented
71C2×#66961C2211yescharacteristic, complemented
72C2×M16×D11C2211yescharacteristic
73C2×#66957C2211yescharacteristic, complemented
74C22×D88C2211yescharacteristic, complemented
75C22×#4313C2211yescharacteristic
76#10623256C2212yescomplemented
77#10623255C2212yescomplemented
78#10623246C2212yescomplemented
79D11×#127C2212yescomplemented
80#10623205C2212yescomplemented
81#10623205C2212yescomplemented
82D11×#124C2212yescomplemented
83#10623199C2212yescomplemented
84#10623187—22no—
85#10623184—22no—
86#10623160—22no—
87#10623158—22no—
88#10623138—22no—
89D11×#121—22no—
90#10623123—22no—
91D11×#120—22no—
92#10623056C2211yescharacteristic, complemented
93#10623056C2211yescharacteristic, complemented
94D11×#117C2211yescharacteristic
95C11×#497C2212yescomplemented
96C11×#496C2212yescomplemented
97C11×#495C2212yescomplemented
98C11×#492C2212yescomplemented
99C11×#405C2211yescharacteristic, complemented
100#10622804C2212yescomplemented
101#10622804C2212yescomplemented
102#10622803C2212yescomplemented
103#10622789C2212yescomplemented
104#10622789C2212yescomplemented
105#10622789C2212yescomplemented
106#10622789C2212yescomplemented
107#10622789C2212yescomplemented
108#10622788C2212yescomplemented
109#10622788C2212yescomplemented
110#10622781C2212yescomplemented
111#10622781C2212yescomplemented
112#10622780C2212yescomplemented
113#10622767C2212yescomplemented
114#10622764C2212yescomplemented
115#10622764C2212yescomplemented
116#10622735C2211yescharacteristic, complemented
117#10622714C2211yescharacteristic, complemented
118#10622699C2212yescomplemented
119#10622698C2212yescomplemented
120#10622687C2212yescomplemented
121#10622686C2212yescomplemented
122#10622672C2212yescomplemented
123#10622672C2212yescomplemented
124#10622671C2212yescomplemented
125#10622671C2212yescomplemented
126#10622610C2211yescharacteristic, complemented
127#10622325C2212yescomplemented
128#10622325C2212yescomplemented
129#10622321C2212yescomplemented
130#10622320C2212yescomplemented
131#10622309C2212yescomplemented
132#10622308C2212yescomplemented
133#10622302C2212yescomplemented
134C4×#4313C2212yescomplemented
135C24×D11—21no—
136C2×C11×#41C2311yescharacteristic
137C2×C11×#41C2311yescharacteristic
138C22×Q8×C11C2311yescharacteristic
139C22×D4×C11C2311yescharacteristic
140C22×C22⋊D11—21no—
141#41×D11—24no—
142#41×D11—24no—
143#41×D11—24no—
144#41×D11—24no—
145C2×#4343—21no—
146C2×#4343—21no—
147C2×#4343—24no—
148C2×#4343—24no—
149C2×#4343C2312yes—
150C2×#4343C2311yescharacteristic
151C2×#4343C2312yes—
152C2×#4343C2311yescharacteristic
153C2×Q8×D11C2311yescharacteristic
154C2×Q8×D11C2311yescharacteristic
155C2×#4341—21no—
156C2×#4341—21no—
157C2×#4341C2311yescharacteristic
158C2×#4341C2311yescharacteristic
159C2×D4×D11—21no—
160C2×D4×D11—21no—
161C2×D4×D11—24no—
162C2×D4×D11—24no—
163C2×D4×D11—21no—
164C2×D4×D11—21no—
165C2×D4×D11—24no—
166C2×D4×D11C2311yescharacteristic
167C2×D4×D11C2312yes—
168C2×D4×D11C2312yes—
169C2×D4×D11C2311yescharacteristic
170C2×#4339—21no—
171C2×#4339—21no—
172C2×#4339C2311yescharacteristic
173C2×#4339C2311yescharacteristic
174C22×D44—21no—
175C22×D44C2311yescharacteristic
176C22×D44C2311yescharacteristic
177C22×C4×D11—21no—
178C22×C4×D11—21no—
179C22×C4×D11—21no—
180C22×C4×D11C2311yescharacteristic
181C11×#137—24no—
182C11×AGL(1,ℤ/8)—24no—
183C11×#135—24no—
184C2×C11×Q16C2312yescomplemented
185C2×C11×Q16C2311yescharacteristic, complemented
186C2×C11×SD16—24no—
187C2×C11×SD16C2312yes—
188C2×C11×SD16C2312yes—
189C2×C11×SD16C2312yes—
190C2×C11×SD16C2311yescharacteristic, complemented
191C2×C11×SD16C2312yescomplemented
192C2×C11×SD16C2311yescharacteristic, complemented
193C2×C11×D8C2312yes—
194C2×C11×D8C2311yescharacteristic, complemented
195C2×C11×M16C2311yescharacteristic
196C22×C8×C11C2311yescharacteristic
197C11×C4⋊Q8C2312yescomplemented
198C11×#127C2312yes—
199C11×#124C2312yes—
200C11×#124C2312yescomplemented
201C11×#123—22no—
202C11×C22⋊Q8—22no—
203C11×#121—22no—
204C11×#120—22no—
205C11×#117C2311yescharacteristic
206#67006—22no—
207#67003—24no—
208#67003—24no—
209#67002—24no—
210#67002—24no—
211#67000C2312yes—
212#67000C2312yescomplemented
213#67000C2312yescomplemented
214#66999—22no—
215#66997C2312yescomplemented
216C2×#4326C2311yescharacteristic, complemented
217C2×#4326C2311yescharacteristic, complemented
218C2×#4326C2312yescomplemented
219#66995—24no—
220C2×#4325—24no—
221C2×#4325C2312yes—
222C2×#4325C2312yes—
223C2×#4325C2312yes—
224C2×#4325C2311yescharacteristic, complemented
225C2×#4325C2311yescharacteristic, complemented
226C2×#4325C2312yescomplemented
227C2×#4325C2312yescomplemented
228#66993—24no—
229#66993C2312yes—
230#66993C2312yes—
231#66993C2312yescomplemented
232#66992—24no—
233#66991—22no—
234#66990—22no—
235#66990—22no—
236#66990—24no—
237#66989C2312yes—
238C2×#4324C2312yes—
239C2×#4324C2311yescharacteristic, complemented
240C2×#4324C2311yescharacteristic, complemented
241#66985—24no—
242C2×#4323—24no—
243C2×#4323C2312yes—
244C2×#4323C2312yes—
245C2×#4323C2312yes—
246C2×#4323C2312yes—
247C2×#4323C2311yescharacteristic, complemented
248C2×#4323C2312yescomplemented
249C2×#4323C2311yescharacteristic, complemented
250#66983—22no—
251#66983—22no—
252#66982—22no—
253#66979C2311yescharacteristic
254C2×#4318C2311yescharacteristic
255C22×C11⋊C8C2311yescharacteristic
256#66972—28no—
257#66971—24no—
258#66971—28no—
259#66971—24no—
260#66969—28no—
261#66968—24no—
262#66968—24no—
263#66967—28no—
264#66967—28no—
265#66967—24no—
266#66967—28no—
267#66967—28no—
268#66967—28no—
269#66967—28no—
270#66967—24no—
271SD16×D11—28no—
272#66964—24no—
273#66964—28no—
274#66964—24no—
275D8×D11—28no—
276#66961—24no—
277#66961—24no—
278M16×D11D418yescomplemented
279C2×Dic44C2311yescharacteristic, complemented
280#66957—24no—
281C2×D88—24no—
282C2×D88C2312yes—
283C2×D88C2312yes—
284C2×D88C2312yes—
285C2×D88C2311yescharacteristic, complemented
286C2×D88C2312yescomplemented
287C2×#4314C2312yes—
288C2×#4314C2311yescharacteristic, complemented
289C2×#4314C2311yescharacteristic, complemented
290C2×#4314C2312yescomplemented
291C2×#4313D418yescomplemented
292C2×#4313C2311yescharacteristic
293C2×#4313C2311yescharacteristic
294C2×#4313C2312yes—
295C2×#4313C2311yescharacteristic
296C2×#4313C2311yescharacteristic
297C2×C8×D11C2312yes—
298#66949—24no—
299#66948—24no—
300#66948—22no—
301#66948—22no—
302#66947—24no—
303#66946—24no—
304#66945D412yes—
305C4⋊C4×D11D412yes—
306#66938—24no—
307#66937—24no—
308#66937—24no—
309#66937—24no—
310#66935—22no—
311#66935—22no—
312#66935—24no—
313#66935—24no—
314(C22⋊D11)⋊C4—24no—
315C22⋊C4×D11—24no—
316C22⋊C4×D11D412yes—
317#66930D412yes—
318#66928C2312yes—
319#66928C2312yescomplemented
320#66927C2312yes—
321#66927C2312yescomplemented
322#66925C2312yes—
323C42×D11C2312yes—
324C11×#97C2312yescomplemented
325C4×C8×C11C2312yescomplemented
326#66879C2312yescomplemented
327#66879C2312yescomplemented
328C8×Dic11C2312yescomplemented
329C8×Dic11C2312yescomplemented
330#66867C2312yescomplemented
331C4×C11⋊C8C2312yescomplemented
332#60644—111nomaximal, Sylow
333C24×C11—21no—
334C23×D11—21no—
335C23×D11—21no—
336C23×D11—22no—
337C23×D11—21no—
338C23×D11—21no—
339C23×D11—22no—
340C23×D11—44no—
341C23×D11—84no—
342C23×D11C2×D411yescharacteristic
343C11×#41—22no—
344C11×#41—22no—
345C11×#41—22no—
346C11×#41—22no—
347C2×Q8×C11—21no—
348C2×Q8×C11—22no—
349C2×Q8×C11—22no—
350C2×Q8×C11C2412yes—
351C2×Q8×C11C2411yescharacteristic
352C2×Q8×C11C2411yescharacteristic
353C2×D4×C11—21no—
354C2×D4×C11—21no—
355C2×D4×C11—22no—
356C2×D4×C11—22no—
357C2×D4×C11—21no—
358C2×D4×C11—24no—
359C2×D4×C11C2412yes—
360C2×D4×C11C2411yescharacteristic
361C2×D4×C11C2411yescharacteristic
362C22×C4×C11—21no—
363C22×C4×C11—21no—
364C22×C4×C11—21no—
365C22×C4×C11C2411yescharacteristic
366C2×C22⋊D11—21no—
367C2×C22⋊D11—22no—
368C2×C22⋊D11—22no—
369C2×C22⋊D11—21no—
370C2×C22⋊D11—24no—
371C2×C22⋊D11—24no—
372C2×C22⋊D11—24no—
373C2×C22⋊D11—21no—
374C2×C22⋊D11—21no—
375C2×C22⋊D11—21no—
376C2×C22⋊D11—21no—
377C2×C22⋊D11—44no—
378C22×Dic11—21no—
379C22×Dic11—21no—
380C22×Dic11C2×D411yescharacteristic
381#4343—24no—
382#4343—24no—
383#4343—22no—
384#4343—24no—
385#4343—22no—
386#4343—22no—
387#4343—24no—
388#4343—22no—
389#4343—44no—
390#4343—44no—
391Q8×D11—22no—
392Q8×D11—22no—
393Q8×D11—22no—
394Q8×D11—22no—
395#4341—22no—
396#4341—22no—
397#4341—22no—
398#4341—22no—
399#4341—44no—
400#4341—44no—
401D4×D11—22no—
402D4×D11—24no—
403D4×D11—24no—
404D4×D11—22no—
405D4×D11—22no—
406D4×D11—24no—
407D4×D11—24no—
408D4×D11—22no—
409D4×D11—44no—
410D4×D11—44no—
411D4×D11—44no—
412D4×D11—44no—
413D4×D11—88no—
414#4339—22no—
415#4339—22no—
416#4339—22no—
417#4339—22no—
418#4339—44no—
419#4339—44no—
420C2×D44—21no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—21no—
424C2×D44—21no—
425C2×D44—21no—
426C2×D44—24no—
427C2×D44—24no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—22no—
432C2×D44—44no—
433C2×D44C2411yescharacteristic
434C2×D44C2412yes—
435C2×D44C2411yescharacteristic
436C2×D44C2412yes—
437C2×C4×D11—22no—
438C2×C4×D11—21no—
439C2×C4×D11—22no—
440C2×C4×D11—21no—
441C2×C4×D11—21no—
442C2×C4×D11—21no—
443C2×C4×D11—21no—
444C2×C4×D11—21no—
445C2×C4×D11—44no—
446C2×C4×D11—44no—
447C2×C4×D11—44no—
448C2×C4×D11C2×D414yes—
449C2×C4×D11C2×D414yes—
450C2×C4×D11C2×D414yes—
451C2×C4×D11C2×D411yescharacteristic
452C2×C4×D11C2×D411yescharacteristic
453C2×C4×D11C2411yescharacteristic
454C2×C4×D11C2411yescharacteristic
455C2×Dic22—21no—
456C2×Dic22—21no—
457C2×Dic22C2411yescharacteristic
458C2×Dic22C2411yescharacteristic
459C11×Q16—22no—
460C11×Q16—24no—
461C11×SD16—24no—
462C11×SD16—24no—
463C11×SD16—24no—
464C11×SD16—22no—
465C11×SD16—22no—
466C11×SD16—24no—
467C11×D8—24no—
468C11×D8—22no—
469C11×M16C2×D414yescomplemented
470C2×C8×C11C2×D414yescomplemented
471C2×C8×C11C2411yescharacteristic
472C2×C8×C11C2412yes—
473C2×C8×C11C2411yescharacteristic
474C11×C4⋊C4—24no—
475C11×C4⋊C4C2×D412yes—
476C11×C22⋊C4—24no—
477C11×C22⋊C4—24no—
478C11×C22⋊C4C2×D412yes—
479C42×C11C2412yes—
480C22⋊Dic11—24no—
481C22⋊Dic11C2×D412yes—
482#4326—22no—
483#4326—22no—
484#4326—24no—
485#4325—24no—
486#4325—24no—
487#4325—24no—
488#4325—22no—
489#4325—22no—
490#4325—24no—
491#4325—24no—
492#4324—24no—
493#4324—22no—
494#4324—22no—
495#4323—24no—
496#4323—24no—
497#4323—22no—
498#4323—22no—
499#4323—24no—
500#4323—24no—
501#4323—24no—
502(C2×D11)⋊C4—24no—
503(C2×D11)⋊C4—24no—
504(C2×D11)⋊C4—24no—
505(C2×D11)⋊C4—24no—
506(C2×D11)⋊C4—24no—
507(C2×D11)⋊C4C2×D414yes—
508C4⋊Dic11C2×D412yes—
509Dic11⋊C4—24no—
510Dic11⋊C4C2×D414yes—
511C4×Dic11C2×D414yes—
512C4×Dic11C2412yes—
513#4318C2×D414yescomplemented
514C2×C11⋊C8C2×D414yescomplemented
515C2×C11⋊C8C2411yescharacteristic
516C2×C11⋊C8C2412yes—
517C2×C11⋊C8C2411yescharacteristic
518Dic44—22no—
519D88—24no—
520D88—24no—
521D88—24no—
522D88—22no—
523D88—24no—
524#4314—24no—
525#4314—22no—
526#4314—22no—
527#4314—24no—
528#4313C2×D414yes—
529#4313C2×D414yes—
530#4313C2×D418yes—
531#4313C2×D414yescomplemented
532#4313C2×D414yescomplemented
533C8×D11C2×D418yescomplemented
534C2×#575—111no—
535C2×#575—111no—
536C22×AGL(1,ℤ/8)—111no—
537C22×AGL(1,ℤ/8)—111no—
538#3449—111no—
539C2×#535—111no—
540#3155—112no—
541#3155—112no—
542#3155—111no—
543#3155—111no—
544#3155—111no—
545#3155—111no—
546#3154—112no—
547#3154—112no—
548#3154—111no—
549#3154—111no—
550#3154—111no—
551#3154D1111yescharacteristic, complemented
552#3153—112no—
553#3153—112no—
554#3151—112no—
555#3151—112no—
556#2873—111no—
557C23×C11—22no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—42no—
561C23×C11—82no—
562C23×C11C22×D411yescharacteristic
563C22×D11—21no—
564C22×D11—22no—
565C22×D11—22no—
566C22×D11—21no—
567C22×D11—42no—
568C22×D11—44no—
569C22×D11—48no—
570C22×D11—42no—
571C22×D11—42no—
572C22×D11—42no—
573C22×D11—42no—
574C22×D11—44no—
575C22×D11—44no—
576C22×D11—82no—
577C22×D11—84no—
578C22×D11—82no—
579C22×D11—82no—
580C22×D11—816no—
581C22×D11#12714yes—
582C22×D11C22×D411yescharacteristic
583C22×D11C22×D411yescharacteristic
584Q8×C11—21no—
585Q8×C11—22no—
586Q8×C11—21no—
587Q8×C11—21no—
588Q8×C11—21no—
589Q8×C11—22no—
590Q8×C11—42no—
591D4×C11—21no—
592D4×C11—22no—
593D4×C11—21no—
594D4×C11—22no—
595D4×C11—21no—
596D4×C11—21no—
597D4×C11—42no—
598D4×C11—42no—
599D4×C11—42no—
600D4×C11—84no—
601C2×C4×C11—22no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—42no—
605C2×C4×C11—42no—
606C2×C4×C11—42no—
607C2×C4×C11C22×D414yes—
608C2×C4×C11C22×D411yescharacteristic
609C2×C4×C11C22×D412yes—
610C2×C4×C11C22×D412yes—
611C2×C4×C11C2511yescharacteristic
612C22⋊D11—42no—
613C22⋊D11—42no—
614C22⋊D11—42no—
615C22⋊D11—42no—
616C22⋊D11—42no—
617C22⋊D11—42no—
618C22⋊D11—44no—
619C22⋊D11—44no—
620C22⋊D11—84no—
621C22⋊D11—84no—
622C22⋊D11—84no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—42no—
626C2×Dic11—42no—
627C2×Dic11#12714yes—
628C2×Dic11C22×D414yes—
629C2×Dic11C22×D411yescharacteristic
630C2×Dic11C22×D411yescharacteristic
631D44—22no—
632D44—22no—
633D44—21no—
634D44—21no—
635D44—22no—
636D44—21no—
637D44—22no—
638D44—21no—
639D44—44no—
640D44—44no—
641D44—42no—
642D44—42no—
643D44—42no—
644D44—42no—
645D44—84no—
646D44—84no—
647C4×D11—44no—
648C4×D11—42no—
649C4×D11—42no—
650C4×D11—42no—
651C4×D11—42no—
652C4×D11—42no—
653C4×D11—42no—
654C4×D11—44no—
655C4×D11—44no—
656C4×D11#12714yes—
657C4×D11#12714yes—
658C4×D11C22×D412yes—
659C4×D11C22×D412yes—
660C4×D11C22×D412yes—
661C4×D11C22×D412yes—
662Dic22—21no—
663Dic22—21no—
664Dic22—21no—
665Dic22—21no—
666Dic22—42no—
667Dic22—42no—
668C8×C11C22×D414yes—
669C8×C11C22×D412yes—
670C8×C11C22×D412yes—
671C11⋊C8C22×D414yes—
672C11⋊C8C22×D412yes—
673C11⋊C8C22×D412yes—
674C22×#41—111no—
675C22×#41—111no—
676C22×#41—111no—
677C23×D4—111no—
678#575—228no—
679#575—228no—
680C2×#137—111no—
681C2×#137—112no—
682C2×#137—111no—
683C2×#137—111no—
684C2×#137—111no—
685C2×#137—111no—
686C2×#137C2×D1111yescharacteristic, complemented
687C2×AGL(1,ℤ/8)—111no—
688C2×AGL(1,ℤ/8)—111no—
689C2×AGL(1,ℤ/8)—111no—
690C2×AGL(1,ℤ/8)—112no—
691C2×AGL(1,ℤ/8)—112no—
692C2×AGL(1,ℤ/8)—112no—
693C2×AGL(1,ℤ/8)—112no—
694C2×AGL(1,ℤ/8)—112no—
695C2×AGL(1,ℤ/8)—112no—
696C2×AGL(1,ℤ/8)—111no—
697C2×AGL(1,ℤ/8)—111no—
698C2×AGL(1,ℤ/8)—112no—
699C2×AGL(1,ℤ/8)—111no—
700C2×AGL(1,ℤ/8)—111no—
701C2×AGL(1,ℤ/8)—111no—
702C2×AGL(1,ℤ/8)—111no—
703C2×AGL(1,ℤ/8)—228no—
704C2×AGL(1,ℤ/8)—228no—
705C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
706C2×#135—111no—
707C2×#135—111no—
708C2×#135—112no—
709C2×#135—112no—
710C2×#135—111no—
711C2×#135C2×D1111yescharacteristic, complemented
712C22×SD16—111no—
713C22×SD16—112no—
714C22×SD16C2×D1111yescharacteristic, complemented
715C22×D8—111no—
716C22×D8—112no—
717C22×D8—111no—
718C22×M16—111no—
719C22×M16—111no—
720#537—222no—
721#536—111no—
722#536—112no—
723#536C2×D1111yescharacteristic, complemented
724#535—111no—
725#535—111no—
726#535—111no—
727#535—112no—
728#535—112no—
729#535—112no—
730#535—111no—
731#535—111no—
732#535—222no—
733#535—222no—
734#535C2×D1111yescharacteristic, complemented
735#534—222no—
736#532—112no—
737#532—112no—
738C2×#127—112no—
739C2×#124—112no—
740#525—222no—
741#525—222no—
742C2×#121—222no—
743C2×#120—222no—
744C2×#117—111no—
745#497—112no—
746#497—112no—
747#497—112no—
748#497C2×D1112yescomplemented
749#496—112no—
750#496—112no—
751#496—112no—
752#496—112no—
753#496—112no—
754#496—112no—
755#496—112no—
756#496—112no—
757#496—112no—
758#496—112no—
759#496—112no—
760#496C2×D1112yescomplemented
761#495—112no—
762#495—112no—
763#495—112no—
764#495—112no—
765#495—112no—
766#495—112no—
767#495—112no—
768#495C2×D1112yescomplemented
769#493—112no—
770#493—112no—
771#493—112no—
772#493—112no—
773#492—112no—
774#492—112no—
775#492—112no—
776#492C2×D1112yescomplemented
777#405—111no—
778#405—111no—
779#405—111no—
780#405—112no—
781#405—112no—
782#405C2×D1111yescharacteristic, complemented
783C4×M16—112no—
784C4×M16—112no—
785C22×C11—22no—
786C22×C11—42no—
787C22×C11—44no—
788C22×C11—42no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11—42no—
792C22×C11—84no—
793C22×C11C2×#12712yes—
794C22×C11C23×D411yescharacteristic
795C2×D11—22no—
796C2×D11—22no—
797C2×D11—44no—
798C2×D11—44no—
799C2×D11—42no—
800C2×D11—42no—
801C2×D11—44no—
802C2×D11—42no—
803C2×D11—42no—
804C2×D11—41no—
805C2×D11—41no—
806C2×D11—84no—
807C2×D11—88no—
808C2×D11—84no—
809C2×D11—88no—
810C2×D11—84no—
811C2×D11—84no—
812C2×D11C2×#12712yes—
813C2×D11C2×#12712yes—
814C4×C11—24no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—42no—
818C4×C11C2×#12712yes—
819C4×C11C23×D411yescharacteristic
820C4×C11C23×D411yescharacteristic
821Dic11—24no—
822Dic11—41no—
823Dic11—41no—
824Dic11C2×#12712yes—
825Dic11C2×#12712yes—
826C25—221no—
827C2×#41—111no—
828C2×#41—112no—
829C2×#41—111no—
830C2×#41—112no—
831C2×#41—111no—
832C2×#41—111no—
833C2×#41—111no—
834C2×#41—111no—
835C2×#41—221no—
836C2×#41—221no—
837C2×#41—221no—
838C2×#41—221no—
839C2×#41—221no—
840C2×#41—221no—
841C2×#41—224no—
842C2×#41—224no—
843C2×#41—224no—
844C2×#41—224no—
845C2×#41—224no—
846C2×#41—224no—
847C2×#41C22×D1111yescharacteristic
848C2×#41C22×D1111yescharacteristic
849C22×Q8—111no—
850C22×Q8—111no—
851C22×Q8C22×D1111yescharacteristic
852C22×D4—112no—
853C22×D4—111no—
854C22×D4—111no—
855C22×D4—112no—
856C22×D4—111no—
857C22×D4—111no—
858C22×D4—221no—
859C22×D4—224no—
860C22×D4—224no—
861C22×D4—221no—
862C22×D4—221no—
863C22×D4—224no—
864C22×D4—221no—
865C22×D4—221no—
866C22×D4—221no—
867C22×D4C22×D1111yescharacteristic
868C23×C4—111no—
869C23×C4—221no—
870C23×C4—221no—
871C23×C4—221no—
872#137—24no—
873#137—224no—
874#137—224no—
875#137—224no—
876#137—228no—
877#137—224no—
878#137—224no—
879AGL(1,ℤ/8)—24no—
880AGL(1,ℤ/8)—228no—
881AGL(1,ℤ/8)—224no—
882AGL(1,ℤ/8)—224no—
883AGL(1,ℤ/8)—228no—
884AGL(1,ℤ/8)—228no—
885AGL(1,ℤ/8)—228no—
886AGL(1,ℤ/8)—228no—
887AGL(1,ℤ/8)—228no—
888AGL(1,ℤ/8)—224no—
889AGL(1,ℤ/8)—228no—
890AGL(1,ℤ/8)—224no—
891AGL(1,ℤ/8)—224no—
892AGL(1,ℤ/8)—224no—
893AGL(1,ℤ/8)—224no—
894AGL(1,ℤ/8)—224no—
895AGL(1,ℤ/8)—224no—
896#135—24no—
897#135—228no—
898#135—228no—
899#135—224no—
900#135—224no—
901#135—224no—
902C2×Q16—111no—
903C2×Q16—112no—
904C2×Q16—111no—
905C2×Q16—111no—
906C2×Q16C22×D1112yescomplemented
907C2×Q16C22×D1111yescharacteristic, complemented
908C2×SD16—24no—
909C2×SD16—112no—
910C2×SD16—112no—
911C2×SD16—112no—
912C2×SD16—111no—
913C2×SD16—112no—
914C2×SD16—111no—
915C2×SD16—112no—
916C2×SD16—112no—
917C2×SD16—111no—
918C2×SD16—111no—
919C2×SD16—112no—
920C2×SD16—111no—
921C2×SD16—111no—
922C2×SD16—112no—
923C2×SD16—228no—
924C2×SD16—224no—
925C2×SD16C22×D1112yes—
926C2×SD16C22×D1112yes—
927C2×SD16C22×D1112yes—
928C2×SD16C22×D1112yescomplemented
929C2×SD16C22×D1111yescharacteristic, complemented
930C2×SD16C22×D1111yescharacteristic, complemented
931C2×D8—112no—
932C2×D8—112no—
933C2×D8—112no—
934C2×D8—112no—
935C2×D8—111no—
936C2×D8—112no—
937C2×D8—111no—
938C2×D8—112no—
939C2×D8—112no—
940C2×D8—112no—
941C2×D8—112no—
942C2×D8—111no—
943C2×D8—228no—
944C2×D8—224no—
945C2×D8—224no—
946C2×D8C22×D1112yes—
947C2×D8C22×D1111yescharacteristic, complemented
948C2×M16—111no—
949C2×M16—118no—
950C2×M16—118no—
951C2×M16—111no—
952C2×M16—112no—
953C2×M16—111no—
954C2×M16—111no—
955C2×M16—111no—
956C2×M16C22×D1111yescharacteristic
957C22×C8—111no—
958C22×C8—112no—
959C22×C8C22×D1111yescharacteristic
960C4⋊Q8—112no—
961C4⋊Q8C22×D1112yescomplemented
962#127—112no—
963#127—112no—
964#127—112no—
965#127—112no—
966#127—112no—
967#127—224no—
968#127C22×D1112yes—
969#124—112no—
970#124—112no—
971#124—112no—
972#124—112no—
973#124—112no—
974#124—112no—
975#124—224no—
976#124C22×D1112yes—
977#124C22×D1112yescomplemented
978#123—22no—
979#123—224no—
980#123—222no—
981C22⋊Q8—22no—
982C22⋊Q8—224no—
983C22⋊Q8—222no—
984#121—22no—
985#121—224no—
986#121—224no—
987#121—224no—
988#121—224no—
989#121—222no—
990#121—222no—
991#121—222no—
992#121—224no—
993#121—222no—
994#121—222no—
995#120—22no—
996#120—224no—
997#120—224no—
998#120—222no—
999#120—224no—
1000#120—222no—
1001#120—222no—
1002#120—222no—
1003#120—222no—
1004C4×D4—224no—
1005C4×D4—224no—
1006#117—111no—
1007#117—112no—
1008#117—112no—
1009#117—112no—
1010#117C22×D1111yescharacteristic
1011C2×C4⋊C4—112no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—224no—
1014C2×C42—112no—
1015#97—112no—
1016#97—112no—
1017#97—112no—
1018#97C22×D1112yescomplemented
1019C4×C8—112no—
1020C4×C8—112no—
1021C4×C8—112no—
1022C4×C8C22×D1112yescomplemented
1023C2×C11—22no—
1024C2×C11—82no—
1025C2×C11—81no—
1026C2×C11—81no—
1027C2×C11C22×#12711yescharacteristic
1028C2×C11#358512yes—
1029D11—22no—
1030D11—22no—
1031D11—81no—
1032D11—81no—
1033D11—82no—
1034D11—82no—
1035C24—21no—
1036C24—111no—
1037C24—222no—
1038C24—221no—
1039C24—221no—
1040C24—222no—
1041C24—221no—
1042C24—221no—
1043C24—444no—
1044C24—884no—
1045#41—22no—
1046#41—22no—
1047#41—22no—
1048#41—22no—
1049#41—222no—
1050#41—222no—
1051#41—222no—
1052#41—222no—
1053#41—224no—
1054#41—222no—
1055#41—224no—
1056#41—224no—
1057#41—222no—
1058#41—224no—
1059#41—222no—
1060#41—222no—
1061#41—222no—
1062#41—222no—
1063#41—222no—
1064#41—222no—
1065#41—444no—
1066#41—444no—
1067#41—444no—
1068#41—444no—
1069#41—444no—
1070#41—444no—
1071C2×Q8—21no—
1072C2×Q8—22no—
1073C2×Q8—22no—
1074C2×Q8—111no—
1075C2×Q8—111no—
1076C2×Q8—221no—
1077C2×Q8—221no—
1078C2×Q8—222no—
1079C2×Q8—222no—
1080C2×Q8—222no—
1081C2×Q8—222no—
1082C2×Q8C23×D1111yescharacteristic
1083C2×Q8C23×D1111yescharacteristic
1084C2×Q8C23×D1112yes—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—21no—
1090C2×D4—24no—
1091C2×D4—111no—
1092C2×D4—112no—
1093C2×D4—112no—
1094C2×D4—111no—
1095C2×D4—221no—
1096C2×D4—222no—
1097C2×D4—222no—
1098C2×D4—221no—
1099C2×D4—222no—
1100C2×D4—224no—
1101C2×D4—224no—
1102C2×D4—224no—
1103C2×D4—224no—
1104C2×D4—222no—
1105C2×D4—222no—
1106C2×D4—222no—
1107C2×D4—222no—
1108C2×D4—221no—
1109C2×D4—222no—
1110C2×D4—221no—
1111C2×D4—224no—
1112C2×D4—224no—
1113C2×D4—224no—
1114C2×D4—221no—
1115C2×D4—221no—
1116C2×D4—221no—
1117C2×D4—221no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4—222no—
1122C2×D4—221no—
1123C2×D4—221no—
1124C2×D4—224no—
1125C2×D4—224no—
1126C2×D4—444no—
1127C2×D4—444no—
1128C2×D4—444no—
1129C2×D4—444no—
1130C2×D4—444no—
1131C2×D4—444no—
1132C2×D4—888no—
1133C2×D4C23×D1112yes—
1134C2×D4C23×D1111yescharacteristic
1135C2×D4C23×D1111yescharacteristic
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—114no—
1143C22×C4—114no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—114no—
1147C22×C4—222no—
1148C22×C4—221no—
1149C22×C4—221no—
1150C22×C4—222no—
1151C22×C4—221no—
1152C22×C4—221no—
1153C22×C4—221no—
1154C22×C4—221no—
1155C22×C4—221no—
1156C22×C4—221no—
1157C22×C4—444no—
1158C22×C4—444no—
1159C22×C4—444no—
1160C22×C4C23×D1111yescharacteristic
1161Q16—22no—
1162Q16—24no—
1163Q16—224no—
1164Q16—222no—
1165Q16—222no—
1166Q16—222no—
1167SD16—24no—
1168SD16—24no—
1169SD16—24no—
1170SD16—22no—
1171SD16—22no—
1172SD16—24no—
1173SD16—224no—
1174SD16—222no—
1175SD16—222no—
1176SD16—224no—
1177SD16—224no—
1178SD16—224no—
1179SD16—224no—
1180SD16—222no—
1181SD16—222no—
1182SD16—224no—
1183SD16—224no—
1184SD16—224no—
1185SD16—222no—
1186SD16—222no—
1187D8—24no—
1188D8—22no—
1189D8—224no—
1190D8—224no—
1191D8—224no—
1192D8—224no—
1193D8—222no—
1194D8—222no—
1195D8—224no—
1196D8—224no—
1197D8—224no—
1198D8—224no—
1199D8—224no—
1200D8—222no—
1201M16—114no—
1202M16—118no—
1203M16—114no—
1204M16—114no—
1205M16—114no—
1206M16—114no—
1207M16D4×D1114yescomplemented
1208C2×C8—114no—
1209C2×C8—111no—
1210C2×C8—112no—
1211C2×C8—111no—
1212C2×C8—118no—
1213C2×C8D4×D1114yescomplemented
1214C2×C8C23×D1111yescharacteristic
1215C2×C8C23×D1112yes—
1216C2×C8C23×D1111yescharacteristic
1217C4⋊C4—24no—
1218C4⋊C4—114no—
1219C4⋊C4—112no—
1220C4⋊C4—224no—
1221C4⋊C4D4×D1112yes—
1222C22⋊C4—24no—
1223C22⋊C4—24no—
1224C22⋊C4—112no—
1225C22⋊C4—114no—
1226C22⋊C4—224no—
1227C22⋊C4—224no—
1228C22⋊C4—224no—
1229C22⋊C4—224no—
1230C22⋊C4—224no—
1231C22⋊C4—224no—
1232C22⋊C4D4×D1112yes—
1233C42—114no—
1234C42—112no—
1235C42C23×D1112yes—
1236C11#6064411yescharacteristic, complemented, Sylow
1237C23—21no—
1238C23—22no—
1239C23—21no—
1240C23—42no—
1241C23—82no—
1242C23—111no—
1243C23—111no—
1244C23—114no—
1245C23—221no—
1246C23—222no—
1247C23—222no—
1248C23—221no—
1249C23—442no—
1250C23—442no—
1251C23—442no—
1252C23—444no—
1253C23—444no—
1254C23—444no—
1255C23—448no—
1256C23—442no—
1257C23—442no—
1258C23—882no—
1259C23—882no—
1260C23—882no—
1261C23—884no—
1262C23—8816no—
1263C23C2×D4×D1111yescharacteristic
1264Q8—22no—
1265Q8—21no—
1266Q8—22no—
1267Q8—21no—
1268Q8—21no—
1269Q8—21no—
1270Q8—42no—
1271Q8—221no—
1272Q8—221no—
1273Q8—221no—
1274Q8—221no—
1275Q8—442no—
1276Q8—442no—
1277D4—21no—
1278D4—22no—
1279D4—21no—
1280D4—21no—
1281D4—22no—
1282D4—21no—
1283D4—42no—
1284D4—42no—
1285D4—42no—
1286D4—84no—
1287D4—221no—
1288D4—222no—
1289D4—222no—
1290D4—222no—
1291D4—221no—
1292D4—222no—
1293D4—221no—
1294D4—221no—
1295D4—442no—
1296D4—442no—
1297D4—444no—
1298D4—444no—
1299D4—444no—
1300D4—444no—
1301D4—442no—
1302D4—442no—
1303D4—442no—
1304D4—442no—
1305D4—442no—
1306D4—442no—
1307D4—442no—
1308D4—442no—
1309D4—884no—
1310D4—884no—
1311D4—884no—
1312D4—884no—
1313D4—884no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—42no—
1318C2×C4—42no—
1319C2×C4—42no—
1320C2×C4—114no—
1321C2×C4—111no—
1322C2×C4—111no—
1323C2×C4—114no—
1324C2×C4—114no—
1325C2×C4—112no—
1326C2×C4—112no—
1327C2×C4—112no—
1328C2×C4—112no—
1329C2×C4—114no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—444no—
1333C2×C4—442no—
1334C2×C4—442no—
1335C2×C4—444no—
1336C2×C4—444no—
1337C2×C4—442no—
1338C2×C4—442no—
1339C2×C4—442no—
1340C2×C4—442no—
1341C2×C4—442no—
1342C2×C4—442no—
1343C2×C4C2×D4×D1114yes—
1344C2×C4C2×D4×D1111yescharacteristic
1345C2×C4C2×D4×D1112yes—
1346C2×C4C2×D4×D1112yes—
1347C2×C4C24×D1111yescharacteristic
1348C8—112no—
1349C8—112no—
1350C8—114no—
1351C8C2×D4×D1114yes—
1352C8C2×D4×D1112yes—
1353C8C2×D4×D1112yes—
1354C22—22no—
1355C22—42no—
1356C22—44no—
1357C22—42no—
1358C22—41no—
1359C22—41no—
1360C22—42no—
1361C22—84no—
1362C22—112no—
1363C22—112no—
1364C22—222no—
1365C22—222no—
1366C22—444no—
1367C22—442no—
1368C22—444no—
1369C22—442no—
1370C22—444no—
1371C22—442no—
1372C22—441no—
1373C22—441no—
1374C22—442no—
1375C22—884no—
1376C22—884no—
1377C22—888no—
1378C22—884no—
1379C22—888no—
1380C22—884no—
1381C22D11×#12712yes—
1382C22C22×D4×D1111yescharacteristic
1383C4—24no—
1384C4—41no—
1385C4—41no—
1386C4—42no—
1387C4—112no—
1388C4—112no—
1389C4—224no—
1390C4—441no—
1391C4—441no—
1392C4D11×#12712yes—
1393C4C22×D4×D1111yescharacteristic
1394C4C22×D4×D1111yescharacteristic
1395C2—22no—
1396C2—82no—
1397C2—81no—
1398C2—81no—
1399C2—222no—
1400C2—222no—
1401C2—882no—
1402C2—881no—
1403C2—882no—
1404C2—881no—
1405C2C2×D11×#12711yescharacteristic
1406C2#1308339412yes—
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3154C2
socleC22×C11C23×D4
hypercenter#3154D11
hypocenterC11#60644
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3154

Complements

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

NH ≅ G/Ntype
1. C2×#10623308C2semidirect
2. C2×#10623299C2semidirect
3. C22×#66967C2semidirect
4. C2×D11×AGL(1,ℤ/8)C2semidirect
5. #13081948C2semidirect
6. D11×#535C2semidirect
7. #13079103C2semidirect
8. #13079102C2semidirect
9. #13079101C2semidirect
10. #13079100C2semidirect
11. #13079099C2semidirect
12. #13079098C2semidirect
13. #13079095C2semidirect
14. #13079094C2semidirect
15. #13079091C2semidirect
16. #13079086C2semidirect
17. #13079085C2semidirect
18. #13079079C2semidirect
19. #13079077C2semidirect
20. #13079065C2semidirect
21. #13079063C2semidirect
22. #13077032C2semidirect
23. C11×#3154C2semidirect
28. C2×C11×#137C22semidirect
29. C2×C11×AGL(1,ℤ/8)C22semidirect
30. C2×C11×#135C22semidirect
31. C22×C11×SD16C22semidirect
32. C11×#536C22semidirect
33. C11×#535C22semidirect
34. #10623361C22semidirect
35. #10623361C22semidirect
36. C2×#67003C22semidirect
37. C2×#67003C22semidirect
38. C2×#67002C22semidirect
39. C2×#67002C22semidirect
40. #10623347C22semidirect
41. C2×#66995C22semidirect
42. C22×#4325C22semidirect
43. #10623336C22semidirect
44. C2×#66985C22semidirect
45. C22×#4323C22semidirect
49. C2×#66972C22semidirect
50. C2×#66971C22semidirect
51. C2×#66971C22semidirect
52. C2×#66971C22semidirect
53. C2×#66969C22semidirect
54. C2×#66968C22semidirect
55. C2×#66968C22semidirect
57. C2×#66967C22semidirect
58. C2×#66967C22semidirect
59. C2×#66967C22semidirect
60. C2×#66967C22semidirect
61. C2×#66967C22semidirect
62. C2×#66967C22semidirect
63. C2×#66967C22semidirect
64. C2×#66967C22semidirect
65. C2×SD16×D11C22semidirect
66. C2×#66964C22semidirect
67. C2×#66964C22semidirect
68. C2×#66964C22semidirect
69. C2×D8×D11C22semidirect
70. C2×#66961C22semidirect
71. C2×#66961C22semidirect
73. C2×#66957C22semidirect
74. C22×D88C22semidirect
76. #10623256C22semidirect
77. #10623255C22semidirect
78. #10623246C22semidirect
79. D11×#127C22semidirect
80. #10623205C22semidirect
81. #10623205C22semidirect
82. D11×#124C22semidirect
83. #10623199C22semidirect
92. #10623056C22semidirect
93. #10623056C22semidirect
95. C11×#497C22semidirect
96. C11×#496C22semidirect
97. C11×#495C22semidirect
98. C11×#492C22semidirect
99. C11×#405C22semidirect
100. #10622804C22semidirect
101. #10622804C22semidirect
102. #10622803C22semidirect
103. #10622789C22semidirect
104. #10622789C22semidirect
105. #10622789C22semidirect
106. #10622789C22semidirect
107. #10622789C22semidirect
108. #10622788C22semidirect
109. #10622788C22semidirect
110. #10622781C22semidirect
111. #10622781C22semidirect
112. #10622780C22semidirect
113. #10622767C22semidirect
114. #10622764C22semidirect
115. #10622764C22semidirect
116. #10622735C22semidirect
117. #10622714C22semidirect
118. #10622699C22semidirect
119. #10622698C22semidirect
120. #10622687C22semidirect
121. #10622686C22semidirect
122. #10622672C22semidirect
123. #10622672C22semidirect
124. #10622671C22semidirect
125. #10622671C22semidirect
126. #10622610C22semidirect
127. #10622325C22semidirect
128. #10622325C22semidirect
129. #10622321C22semidirect
130. #10622320C22semidirect
131. #10622309C22semidirect
132. #10622308C22semidirect
133. #10622302C22semidirect
134. C4×#4313C22semidirect
184. C2×C11×Q16C23semidirect
185. C2×C11×Q16C23semidirect
190. C2×C11×SD16C23semidirect
191. C2×C11×SD16C23semidirect
192. C2×C11×SD16C23semidirect
194. C2×C11×D8C23semidirect
197. C11×C4⋊Q8C23semidirect
200. C11×#124C23semidirect
212. #67000C23semidirect
213. #67000C23semidirect
215. #66997C23semidirect
216. C2×#4326C23semidirect
217. C2×#4326C23semidirect
218. C2×#4326C23semidirect
224. C2×#4325C23semidirect
225. C2×#4325C23semidirect
226. C2×#4325C23semidirect
227. C2×#4325C23semidirect
231. #66993C23semidirect
239. C2×#4324C23semidirect
240. C2×#4324C23semidirect
247. C2×#4323C23semidirect
248. C2×#4323C23semidirect
249. C2×#4323C23semidirect
278. M16×D11D4semidirect
279. C2×Dic44C23semidirect
285. C2×D88C23semidirect
286. C2×D88C23semidirect
288. C2×#4314C23semidirect
289. C2×#4314C23semidirect
290. C2×#4314C23semidirect
291. C2×#4313D4semidirect
319. #66928C23semidirect
321. #66927C23semidirect
324. C11×#97C23semidirect
325. C4×C8×C11C23semidirect
326. #66879C23semidirect
327. #66879C23semidirect
328. C8×Dic11C23semidirect
329. C8×Dic11C23semidirect
330. #66867C23semidirect
331. C4×C11⋊C8C23semidirect
469. C11×M16C2×D4semidirect
470. C2×C8×C11C2×D4semidirect
513. #4318C2×D4semidirect
514. C2×C11⋊C8C2×D4semidirect
531. #4313C2×D4semidirect
532. #4313C2×D4semidirect
533. C8×D11C2×D4semidirect
551. #3154D11semidirect
686. C2×#137C2×D11semidirect
705. C2×AGL(1,ℤ/8)C2×D11semidirect
711. C2×#135C2×D11semidirect
714. C22×SD16C2×D11semidirect
723. #536C2×D11semidirect
734. #535C2×D11semidirect
748. #497C2×D11semidirect
760. #496C2×D11semidirect
768. #495C2×D11semidirect
776. #492C2×D11semidirect
782. #405C2×D11semidirect
906. C2×Q16C22×D11semidirect
907. C2×Q16C22×D11semidirect
928. C2×SD16C22×D11semidirect
929. C2×SD16C22×D11semidirect
930. C2×SD16C22×D11semidirect
947. C2×D8C22×D11semidirect
961. C4⋊Q8C22×D11semidirect
977. #124C22×D11semidirect
1018. #97C22×D11semidirect
1022. C4×C8C22×D11semidirect
1207. M16D4×D11semidirect
1213. C2×C8D4×D11semidirect
1236. C11#60644semidirect

Maximal subgroups

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

subgroupindex
C2×#106233082
C2×#106232992
C22×#669672
C2×D11×AGL(1,ℤ/8)2
#130819482
D11×#5352
#130791032
#130791022
#130791012
#130791002
#130790992
#130790982
#130790952
#130790942
#130790912
#130790862
#130790852
#130790792
#130790772
#130790652
#130790632
#130770322
C11×#31542
#6064411