Finite Group Databasebeta

← #14774641

Subgroups — #14774641

Order 2816.

996 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077967C211yesmaximal, characteristic
2#13077527C211yesmaximal, characteristic, complemented
3#13077522C211yesmaximal, characteristic, complemented
4#13077164C211yesmaximal, characteristic, complemented
5#13077160C211yesmaximal, characteristic, complemented
6#13069448C211yesmaximal, characteristic, complemented
7#13069286C211yesmaximal, characteristic, complemented
8#13069285C211yesmaximal, characteristic, complemented
9#13069117C211yesmaximal, characteristic, complemented
10#13069116C211yesmaximal, characteristic, complemented
11#13068998C211yesmaximal, characteristic, complemented
12#13068858C211yesmaximal, characteristic, complemented
13#13068857C211yesmaximal, characteristic, complemented
14#13068427C211yesmaximal, characteristic, complemented
15C11×#1759C211yesmaximal, characteristic, complemented
16#10623453C2211yescharacteristic
17C4×C11×#41C2211yescharacteristic
18#10623353C2211yescharacteristic
19#10623350C2211yescharacteristic
20#10623279C2211yescharacteristic
21#10623276C2211yescharacteristic
22#10623276C2211yescharacteristic, complemented
23#10623008C2211yescharacteristic
24C4×#4339C2211yescharacteristic
25C2×C11×#104C2211yescharacteristic
26C2×C11×#104C2211yescharacteristic
27C4×C11×M16C2211yescharacteristic, complemented
28C11×#376C2211yescharacteristic, complemented
29#10622849C2211yescharacteristic
30#10622752C2211yescharacteristic
31#10622745C2211yescharacteristic
32#10622738C2211yescharacteristic, complemented
33#10622737C2211yescharacteristic, complemented
34#10622619C2211yescharacteristic, complemented
35#10622618—22no—
36#10622618C2211yescharacteristic
37#10622618C2211yescharacteristic
38C2×#66869—22no—
39C2×#66869C2211yescharacteristic
40C2×#66869C2211yescharacteristic
41C2×#66869C2211yescharacteristic
42C2×#66869C2211yescharacteristic
43C2×#66869C2211yescharacteristic, complemented
44C2×#66869C2211yescharacteristic, complemented
45#10622537C2211yescharacteristic, complemented
46C4×#4318C2211yescharacteristic, complemented
47#10622440C412yescomplemented
48#10622439C412yescomplemented
49#10622438C412yescomplemented
50#10622437—22no—
51#10622436—22no—
52#10622435C412yescomplemented
53#10622434—22no—
54D11×#104—22no—
55#10622330—22no—
56#10622313—22no—
57C11×#339C2211yescharacteristic, complemented
58C11×#339C2211yescharacteristic, complemented
59#10622197C2211yescharacteristic, complemented
60#10622171C2211yescharacteristic, complemented
61#10622161C2211yescharacteristic, complemented
62#10622161C2211yescharacteristic, complemented
63C2×C11×#41C2311yescharacteristic
64#67043—21no—
65#67043C2×C412yes—
66#67042—21no—
67#67042C2×C412yes—
68#41×D11—22no—
69#41×D11—41no—
70#67040—21no—
71#67037—21no—
72#67037—41no—
73C2×#4339—22no—
74C2×#4339C2311yescharacteristic
75C2×#4339C2311yescharacteristic
76C2×#4339C2311yescharacteristic
77C2×C11×M16C2311yescharacteristic
78C2×C11×M16C2311yescharacteristic
79C4×Q8×C11—21no—
80C4×D4×C11—21no—
81C4×D4×C11—41no—
82C11×#117—21no—
83C11×#117C2311yescharacteristic
84C2×C42×C11—21no—
85C2×C42×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88#67004C2×C412yescomplemented
89#67003—22no—
90#67002C2×C412yescomplemented
91#67001—22no—
92#67001—41no—
93#66995—21no—
94#66985—21no—
95#66983—41no—
96C4×C22⋊D11—41no—
97#66979C2311yescharacteristic
98C2×#4318—22no—
99C2×#4318C2311yescharacteristic
100C2×#4318C2311yescharacteristic
101C2×#4318C2311yescharacteristic
102C2×#4318C2311yescharacteristic
103#66962—21no—
104#66962C2×C412yescomplemented
105#66961—21no—
106#66961C2×C412yescomplemented
107#66960—22no—
108#66960—41no—
109M16×D11—22no—
110M16×D11—41no—
111#66957—22no—
112#66954—22no—
113#66954—22no—
114#66928C2×C411yescharacteristic, complemented
115#66928C2×C411yescharacteristic, complemented
116#66927C2×C411yescharacteristic, complemented
117C4×D44—21no—
118C4×D44—41no—
119#66925—21no—
120C42×D11—21no—
121#66922C2×C411yescharacteristic, complemented
122C4×Dic22—21no—
123C11×#104C2×C412yescomplemented
124C11×#104C2×C412yescomplemented
125C11×#104D412yescomplemented
126C11×#104D412yescomplemented
127C11×#97—21no—
128C4×C8×C11—21no—
129C11×#95—41no—
130#66901—22no—
131#66889—22no—
132#66888C2×C412yescomplemented
133#66887C2×C412yescomplemented
134#66886—22no—
135#66883—22no—
136#66870—41no—
137#66869—22no—
138#66869—21no—
139#66869—21no—
140#66869—21no—
141#66869—21no—
142#66869—21no—
143#66869—21no—
144#66869—21no—
145#66869—21no—
146#66869—22no—
147#66869C2×C412yescomplemented
148#66869C2×C412yescomplemented
149#66869D412yescomplemented
150#66869D412yescomplemented
151C4⋊(C11⋊C8)—41no—
152#66867—21no—
153C4×C11⋊C8—21no—
154#22898—111nomaximal, Sylow
155C11×#41—21no—
156C11×#41—21no—
157C11×#41C22×C412yes—
158C11×#41C2×D412yes—
159C2×Q8×C11#4111yescharacteristic
160C2×D4×C11—21no—
161C2×D4×C11#4111yescharacteristic
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—41no—
167C22×C4×C11C2411yescharacteristic
168C2×C22⋊D11—21no—
169C2×C22⋊D11—21no—
170C2×C22⋊D11—21no—
171C2×C22⋊D11—42no—
172#4343—22no—
173#4343—41no—
174Q8×D11—22no—
175Q8×D11—41no—
176#4341—22no—
177#4341—41no—
178#4341—42no—
179#4341—42no—
180D4×D11—22no—
181D4×D11—42no—
182D4×D11—42no—
183D4×D11—41no—
184#4339—22no—
185#4339—22no—
186#4339—21no—
187#4339—21no—
188#4339—21no—
189#4339—21no—
190#4339—21no—
191#4339—21no—
192#4339—21no—
193#4339—21no—
194#4339—21no—
195#4339—21no—
196#4339—42no—
197#4339—42no—
198#4339C22×C412yes—
199#4339C2×D412yes—
200C2×D44—22no—
201C2×D44—41no—
202C2×D44C22×C411yescharacteristic
203C2×D44C22×C411yescharacteristic
204C2×D44#4111yescharacteristic
205C2×C4×D11—21no—
206C2×C4×D11—21no—
207C2×C4×D11—21no—
208C2×C4×D11—41no—
209C2×C4×D11—42no—
210C2×Dic22—22no—
211C2×Dic22C22×C411yescharacteristic
212C2×Dic22C22×C411yescharacteristic
213C2×Dic22#4111yescharacteristic
214C11×M16—21no—
215C11×M16—21no—
216C11×M16C22×C412yes—
217C11×M16C2×D412yes—
218C2×C8×C11—21no—
219C2×C8×C11—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—41no—
222C11×C22⋊C4—21no—
223C11×C22⋊C4—41no—
224C42×C11—21no—
225C42×C11—21no—
226C42×C11—21no—
227C42×C11—21no—
228C42×C11—41no—
229C42×C11C22×C411yescharacteristic
230C42×C11C22×C411yescharacteristic
231C42×C11C2×D411yescharacteristic
232C42×C11C2×D411yescharacteristic
233C42×C11C2×D411yescharacteristic
234C42×C11C2×D411yescharacteristic
235C22⋊Dic11—21no—
236#4326—22no—
237#4325—22no—
238#4324—22no—
239#4323—22no—
240(C2×D11)⋊C4—41no—
241(C2×D11)⋊C4—41no—
242(C2×D11)⋊C4—41no—
243C4⋊Dic11—21no—
244C4⋊Dic11—41no—
245Dic11⋊C4—41no—
246C4×Dic11—21no—
247C4×Dic11—41no—
248#4318—21no—
249#4318—21no—
250#4318—21no—
251#4318—21no—
252#4318—21no—
253#4318—21no—
254#4318—42no—
255#4318C22×C412yes—
256#4318C2×D412yes—
257C2×C11⋊C8—21no—
258C2×C11⋊C8—21no—
259C2×C11⋊C8—21no—
260C2×C11⋊C8—21no—
261C2×C11⋊C8—42no—
262Dic44—22no—
263D88—22no—
264#4314—22no—
265#4314—22no—
266#4313—42no—
267#4313—42no—
268C8×D11—42no—
269C8×D11—42no—
270#3018—111no—
271#2956—111no—
272#2956—111no—
273#2901—111no—
274#2901—111no—
275#1963—111no—
276#1932—111no—
277#1932—111no—
278#1906—111no—
279#1906—111no—
280#1884—111no—
281#1861—111no—
282#1861—111no—
283#1759—111no—
284#1759D1111yescharacteristic, complemented
285C23×C11—21no—
286C23×C11H(5,𝔽2)11yescharacteristic
287C22×D11—21no—
288C22×D11—21no—
289C22×D11—21no—
290C22×D11—42no—
291Q8×C11—21no—
292Q8×C11C4×D412yes—
293D4×C11—22no—
294D4×C11—22no—
295D4×C11—21no—
296D4×C11C4×D412yes—
297C2×C4×C11—21no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—21no—
301C2×C4×C11—21no—
302C2×C4×C11—21no—
303C2×C4×C11—21no—
304C2×C4×C11—21no—
305C2×C4×C11—21no—
306C2×C4×C11—41no—
307C2×C4×C11—81no—
308C2×C4×C11—81no—
309C2×C4×C11—81no—
310C2×C4×C11—82no—
311C2×C4×C11C23×C411yescharacteristic
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C2×#4111yescharacteristic
315C2×C4×C11C2×#4111yescharacteristic
316C2×C4×C11H(5,𝔽2)11yescharacteristic
317C22⋊D11—22no—
318C22⋊D11—22no—
319C22⋊D11—42no—
320C22⋊D11—42no—
321C22⋊D11—41no—
322C22⋊D11—41no—
323C22⋊D11—41no—
324C22⋊D11—41no—
325C2×Dic11—21no—
326C2×Dic11—21no—
327C2×Dic11—21no—
328C2×Dic11—42no—
329C2×Dic11—41no—
330D44—21no—
331D44—21no—
332D44—21no—
333D44—21no—
334D44—21no—
335D44—42no—
336D44—82no—
337D44C4×D412yes—
338C4×D11—22no—
339C4×D11—22no—
340C4×D11—42no—
341C4×D11—42no—
342C4×D11—41no—
343C4×D11—41no—
344C4×D11—41no—
345C4×D11—41no—
346C4×D11—82no—
347Dic22—21no—
348Dic22—21no—
349Dic22—21no—
350Dic22—21no—
351Dic22—21no—
352Dic22—42no—
353Dic22C4×D412yes—
354C8×C11—22no—
355C8×C11—22no—
356C11⋊C8—22no—
357C11⋊C8—22no—
358C11⋊C8—41no—
359C11⋊C8—41no—
360#585—111no—
361#575—111no—
362#575—111no—
363#568—111no—
364#568—111no—
365#568—111no—
366#532—111no—
367C4×#41—111no—
368C4×#41C2×D1111yescharacteristic
369#456—112no—
370#455—112no—
371#454—112no—
372#453—112no—
373#444—222no—
374#444—222no—
375#443—222no—
376#443—222no—
377#430—111no—
378#430—111no—
379#423—111no—
380#421—111no—
381#421—111no—
382#421—111no—
383#421—111no—
384#421—222no—
385#421—222no—
386C2×#104—111no—
387C2×#104—111no—
388C2×#104—111no—
389C2×#104—111no—
390C2×#104—111no—
391C2×#104—111no—
392C2×#104—222no—
393C2×#104—222no—
394C2×#104C2×D1111yescharacteristic
395C2×#104C2×D1111yescharacteristic
396#413—111no—
397#410—111no—
398C4×M16—111no—
399C4×M16C2×D1111yescharacteristic, complemented
400#376C2×D1111yescharacteristic, complemented
401#344—111no—
402#344—111no—
403#339—111no—
404#339—111no—
405#339C2×D1111yescharacteristic, complemented
406#339C2×D1111yescharacteristic, complemented
407C22×C11—22no—
408C22×C11—41no—
409C22×C11—81no—
410C22×C11#51811yescharacteristic
411C22×C11#54611yescharacteristic
412C22×C11#54611yescharacteristic
413C2×D11—22no—
414C2×D11—41no—
415C2×D11—41no—
416C2×D11—81no—
417C2×D11—81no—
418C2×D11—81no—
419C2×D11—162no—
420C4×C11—22no—
421C4×C11—41no—
422C4×C11—41no—
423C4×C11—41no—
424C4×C11—41no—
425C4×C11—41no—
426C4×C11—41no—
427C4×C11—81no—
428C4×C11C2×C4×D411yescharacteristic
429C4×C11C2×C4×D411yescharacteristic
430C4×C11D4211yescharacteristic
431C4×C11#55111yescharacteristic
432Dic11—22no—
433Dic11—41no—
434Dic11—41no—
435Dic11—81no—
4362−1+4—112no—
4372−1+4—221no—
4382−1+4—221no—
439H(5,𝔽2)—112no—
440H(5,𝔽2)—221no—
441H(5,𝔽2)—221no—
442H(5,𝔽2)—441no—
443C2×#41—111no—
444C2×#41—111no—
445C2×#41—111no—
446C2×#41—222no—
447C2×#41—222no—
448C2×#41—441no—
449C2×#41C22×D1111yescharacteristic
450#137—112no—
451#137—112no—
452#137—221no—
453#137—221no—
454AGL(1,ℤ/8)—112no—
455AGL(1,ℤ/8)—112no—
456AGL(1,ℤ/8)—221no—
457AGL(1,ℤ/8)—221no—
458#135—222no—
459#135—222no—
460#131—222no—
461#131—222no—
462#131—222no—
463#131—222no—
464#131—441no—
465#131—441no—
466C2×M16—111no—
467C2×M16—111no—
468C2×M16—111no—
469C2×M16—111no—
470C2×M16—222no—
471C2×M16—222no—
472C2×M16—441no—
473C2×M16C22×D1111yescharacteristic
474C2×M16C22×D1111yescharacteristic
475C4⋊Q8—111no—
476#127—111no—
477#124—111no—
478#124—111no—
479#121—441no—
480C4×Q8—21no—
481C4×Q8—221no—
482C4×D4—21no—
483C4×D4—41no—
484C4×D4—221no—
485C4×D4—441no—
486C4×D4—441no—
487#117—21no—
488#117—111no—
489#117—221no—
490#117C22×D1111yescharacteristic
491C2×C42—21no—
492C2×C42—221no—
493C2×C42C22×D1111yescharacteristic
494C2×C42C22×D1111yescharacteristic
495C2×C42C22×D1111yescharacteristic
496#108—222no—
497#108—222no—
498C4⋊C8—441no—
499#104—112no—
500#104—112no—
501#104—112no—
502#104—112no—
503#104—222no—
504#104—222no—
505#104—222no—
506#104—222no—
507#104—221no—
508#104—221no—
509#104—221no—
510#104—221no—
511#104—221no—
512#104—221no—
513#104—221no—
514#104—221no—
515#104C4×D1112yescomplemented
516#104C4×D1112yescomplemented
517#104D4412yescomplemented
518#104D4412yescomplemented
519#101—112no—
520#100—112no—
521#99—441no—
522#97—21no—
523#97—221no—
524C4×C8—21no—
525C4×C8—221no—
526#95—41no—
527C2×C11—21no—
528C2×C11—21no—
529C2×C11—21no—
530C2×C11—42no—
531C2×C11#235811yescharacteristic
532D11—42no—
533D11—81no—
534D11—81no—
535#41—21no—
536#41—21no—
537#41—112no—
538#41—112no—
539#41—222no—
540#41—222no—
541#41—221no—
542#41—221no—
543#41—222no—
544#41—222no—
545#41—221no—
546#41—221no—
547#41—221no—
548#41—221no—
549#41—221no—
550#41—221no—
551#41—221no—
552#41—221no—
553#41—442no—
554#41—442no—
555#41—442no—
556#41—442no—
557#41—441no—
558#41—441no—
559#41C2×C4×D1112yes—
560#41C2×D4412yes—
561C2×Q8—111no—
562C2×Q8—111no—
563C2×Q8—111no—
564C2×Q8—222no—
565C2×Q8—222no—
566C2×Q8—441no—
567C2×Q8#433911yescharacteristic
568C2×D4—21no—
569C2×D4—111no—
570C2×D4—111no—
571C2×D4—111no—
572C2×D4—222no—
573C2×D4—221no—
574C2×D4—222no—
575C2×D4—221no—
576C2×D4—221no—
577C2×D4—441no—
578C2×D4—442no—
579C2×D4—441no—
580C2×D4—442no—
581C2×D4—442no—
582C2×D4#433911yescharacteristic
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—41no—
588C22×C4—221no—
589C22×C4—221no—
590C22×C4—221no—
591C22×C4—442no—
592C22×C4—441no—
593C22×C4C23×D1111yescharacteristic
594Q16—222no—
595Q16—222no—
596SD16—222no—
597SD16—222no—
598SD16—222no—
599SD16—222no—
600D8—222no—
601D8—222no—
602M16—21no—
603M16—21no—
604M16—112no—
605M16—112no—
606M16—221no—
607M16—221no—
608M16—221no—
609M16—221no—
610M16—221no—
611M16—221no—
612M16—442no—
613M16—442no—
614M16—442no—
615M16C2×C4×D1112yes—
616M16C2×D4412yes—
617C2×C8—21no—
618C2×C8—21no—
619C2×C8—221no—
620C2×C8—221no—
621C2×C8—221no—
622C2×C8—221no—
623C2×C8—442no—
624C2×C8—442no—
625C2×C8—442no—
626C4⋊C4—21no—
627C4⋊C4—41no—
628C4⋊C4—221no—
629C4⋊C4—441no—
630C4⋊C4—441no—
631C22⋊C4—21no—
632C22⋊C4—41no—
633C22⋊C4—221no—
634C22⋊C4—441no—
635C22⋊C4—441no—
636C22⋊C4—441no—
637C42—21no—
638C42—21no—
639C42—21no—
640C42—21no—
641C42—41no—
642C42—221no—
643C42—441no—
644C42C2×C4×D1111yescharacteristic
645C42C2×C4×D1111yescharacteristic
646C42C2×D4411yescharacteristic
647C42C2×D4411yescharacteristic
648C42D4×D1111yescharacteristic
649C42D4×D1111yescharacteristic
650C11#2289811yescharacteristic, complemented, Sylow
651C23—21no—
652C23—221no—
653C23—221no—
654C23—221no—
655C23—442no—
656C23#6703711yescharacteristic
657Q8—21no—
658Q8—112no—
659Q8—221no—
660Q8—221no—
661Q8—221no—
662Q8—221no—
663Q8—221no—
664Q8—442no—
665Q8C4×D4412yes—
666D4—22no—
667D4—22no—
668D4—21no—
669D4—112no—
670D4—222no—
671D4—222no—
672D4—221no—
673D4—221no—
674D4—221no—
675D4—221no—
676D4—221no—
677D4—442no—
678D4—442no—
679D4—442no—
680D4—441no—
681D4—441no—
682D4—441no—
683D4—441no—
684D4—882no—
685D4C4×D4412yes—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—41no—
696C2×C4—81no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4—82no—
700C2×C4—221no—
701C2×C4—222no—
702C2×C4—222no—
703C2×C4—221no—
704C2×C4—221no—
705C2×C4—442no—
706C2×C4—442no—
707C2×C4—442no—
708C2×C4—441no—
709C2×C4—441no—
710C2×C4—441no—
711C2×C4—441no—
712C2×C4—441no—
713C2×C4—882no—
714C2×C4C22×C4×D1111yescharacteristic
715C2×C4C22×D4411yescharacteristic
716C2×C4C2×#433911yescharacteristic
717C2×C4C2×D4×D1111yescharacteristic
718C2×C4#41×D1111yescharacteristic
719C2×C4#6704211yescharacteristic
720C8—22no—
721C8—22no—
722C8—222no—
723C8—222no—
724C8—441no—
725C8—441no—
726C22—22no—
727C22—41no—
728C22—81no—
729C22—222no—
730C22—441no—
731C22—441no—
732C22—881no—
733C22—881no—
734C22—881no—
735C22—1762no—
736C22#1062302111yescharacteristic
737C22#1062307611yescharacteristic
738C22#1062308511yescharacteristic
739C4—22no—
740C4—41no—
741C4—41no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—41no—
746C4—81no—
747C4—222no—
748C4—441no—
749C4—441no—
750C4—881no—
751C4C2×C4×D4411yescharacteristic
752C4#1062305811yescharacteristic
753C4C4×D4×D1111yescharacteristic
754C4D4×D4411yescharacteristic
755C2—21no—
756C2—21no—
757C2—21no—
758C2—42no—
759C2—442no—
760C2—881no—
761C2—881no—
762C2#1307159811yescharacteristic
subgroupG/H
centerC4D4×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1759C2
socleC2×C11#2358
prime radical#13077967C2
cosocleC22×C4×C11C24
hypercenter#1759D11
hypocenterC11#22898
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1759

Complements

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

NH ≅ G/Ntype
2. #13077527C2semidirect
3. #13077522C2semidirect
4. #13077164C2semidirect
5. #13077160C2semidirect
6. #13069448C2semidirect
7. #13069286C2semidirect
8. #13069285C2semidirect
9. #13069117C2semidirect
10. #13069116C2semidirect
11. #13068998C2semidirect
12. #13068858C2semidirect
13. #13068857C2semidirect
14. #13068427C2semidirect
15. C11×#1759C2semidirect
22. #10623276C22semidirect
27. C4×C11×M16C22semidirect
28. C11×#376C22semidirect
32. #10622738C22semidirect
33. #10622737C22semidirect
34. #10622619C22semidirect
43. C2×#66869C22semidirect
44. C2×#66869C22semidirect
45. #10622537C22semidirect
46. C4×#4318C22semidirect
47. #10622440C4semidirect
48. #10622439C4semidirect
49. #10622438C4semidirect
52. #10622435C4semidirect
57. C11×#339C22semidirect
58. C11×#339C22semidirect
59. #10622197C22semidirect
60. #10622171C22semidirect
61. #10622161C22semidirect
62. #10622161C22semidirect
88. #67004C2×C4semidirect
90. #67002C2×C4semidirect
104. #66962C2×C4semidirect
106. #66961C2×C4semidirect
114. #66928C2×C4semidirect
115. #66928C2×C4semidirect
116. #66927C2×C4semidirect
121. #66922C2×C4semidirect
123. C11×#104C2×C4semidirect
124. C11×#104C2×C4semidirect
125. C11×#104D4semidirect
126. C11×#104D4semidirect
132. #66888C2×C4semidirect
133. #66887C2×C4semidirect
147. #66869C2×C4semidirect
148. #66869C2×C4semidirect
149. #66869D4semidirect
150. #66869D4semidirect
284. #1759D11semidirect
399. C4×M16C2×D11semidirect
400. #376C2×D11semidirect
405. #339C2×D11semidirect
406. #339C2×D11semidirect
515. #104C4×D11semidirect
516. #104C4×D11semidirect
517. #104D44semidirect
518. #104D44semidirect
650. C11#22898semidirect

Maximal subgroups

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

subgroupindex
#130779672
#130775272
#130775222
#130771642
#130771602
#130694482
#130692862
#130692852
#130691172
#130691162
#130689982
#130688582
#130688572
#130684272
C11×#17592
#2289811