Finite Group Databasebeta

← #11899680

Subgroups — #11899680

Order 1152.

785 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594771C211yesmaximal, characteristic, complemented
2#10594734C211yesmaximal, characteristic, complemented
3#10592613C211yesmaximal, characteristic, complemented
4C3×#4916C211yesmaximal, characteristic, complemented
5C3×#4914C211yesmaximal, characteristic, complemented
6#10591049C211yesmaximal, characteristic, complemented
7#10591048C211yesmaximal, characteristic, complemented
8#10591038C211yesmaximal, characteristic, complemented
9#10591025C211yesmaximal, characteristic, complemented
10#10591024C211yesmaximal, characteristic, complemented
11D3×#826C211yesmaximal, characteristic, complemented
12#10590236C211yesmaximal, characteristic, complemented
13#10590233C211yesmaximal, characteristic, complemented
14D3×D48C211yesmaximal, characteristic, complemented
15#10590228C211yesmaximal, characteristic, complemented
16#82036—31nomaximal
17#82031—31nomaximal
18#64320—21no—
19#64314—21no—
20#64128C2211yescharacteristic, complemented
21D8×C3⋊D3C2211yescharacteristic, complemented
22C3×#919C2211yescharacteristic, complemented
23C3×#919C2211yescharacteristic, complemented
24C3×#912C2211yescharacteristic, complemented
25C3×D3×D8C2211yescharacteristic, complemented
26#63941—21no—
27#63939—21no—
28#63939—21no—
29#63937—21no—
30#63934—21no—
31#63925—21no—
32#63810C2211yescharacteristic, complemented
33#63808C2211yescharacteristic, complemented
34#63803C2211yescharacteristic
35#63797C2211yescharacteristic, complemented
36D3×D24C2211yescharacteristic, complemented
37D3×D24C2211yescharacteristic, complemented
38D3×D24C2211yescharacteristic, complemented
39C32×SD32C2211yescharacteristic, complemented
40#63655C2211yescharacteristic, complemented
41#63653C2211yescharacteristic, complemented
42#63626C2211yescharacteristic, complemented
43#63625C2211yescharacteristic, complemented
44C3×#829C2211yescharacteristic, complemented
45C3×#828C2211yescharacteristic, complemented
46C3×#826C2211yescharacteristic, complemented
47C3×#826C2211yescharacteristic, complemented
48C3×#800C2211yescharacteristic, complemented
49C3×D48C2211yescharacteristic, complemented
50C3×#798C2211yescharacteristic, complemented
51C3×D3×C16C2211yescharacteristic, complemented
52#63549C2211yescharacteristic, complemented
53#63547C2211yescharacteristic, complemented
54#63546C2211yescharacteristic, complemented
55#63546C2211yescharacteristic, complemented
56#63546C2211yescharacteristic, complemented
57#63545C2211yescharacteristic, complemented
58#63543C2211yescharacteristic, complemented
59#63542C2211yescharacteristic, complemented
60D3×C3⋊C16C2211yescharacteristic, complemented
61#5769—31no—
62#5769—31no—
63#5769—31no—
64#5757—31no—
65C3×#509—31no—
66C3×#508—31no—
67#5194—31no—
68#5193—31no—
69#5193—31no—
70C2×#826—31no—
71#4919—31no—
72#4919—31no—
73#4916—31no—
74#4916D311yescharacteristic, complemented
75#4914—31no—
76#4914—31no—
77#4914—31no—
78#4914—31no—
79#4914—31no—
80#4914—61no—
81#4914D311yescharacteristic, complemented
82#4911—31no—
83#4911—31no—
84D3×D16—31no—
85D3×D16—31no—
86D3×D16—31no—
87D3×D16—31no—
88#4908—31no—
89#4907—31no—
90C2×D48—31no—
91#4901—31no—
92#3832—21no—
93D4×C3⋊D3—21no—
94C3×#239—21no—
95C3×#239—21no—
96C3×#237—21no—
97C3×D3×D4—21no—
98#3811—41no—
99D3×#67—41no—
100C2×#626—41no—
101#3804—41no—
102#3802—21no—
103#3802—41no—
104D3×D12—21no—
105D3×D12—21no—
106D3×D12—21no—
107D3×D12—41no—
108D3×D12—41no—
109#3799—21no—
110#3798—41no—
111#3798D411yescharacteristic
112#3796—21no—
113C32×Q16C2311yescharacteristic
114C32×D8C2311yescharacteristic
115#3755—21no—
116#3753—21no—
117#3745C2311yescharacteristic
118#3745C2311yescharacteristic
119C8×C3⋊D3C2311yescharacteristic
120C3×#215—21no—
121C3×#215—21no—
122C3×#214—21no—
123C3×#213—21no—
124C3×Dic12C2311yescharacteristic
125C3×D24C2311yescharacteristic
126C3×D24C2311yescharacteristic
127C3×D24C2311yescharacteristic
128C3×D3×C8C2311yescharacteristic
129C3×D3×C8C2311yescharacteristic
130#3717—21no—
131#3715—21no—
132#3714—21no—
133#3714—21no—
134#3714—21no—
135#3713—21no—
136#3712D411yescharacteristic
137#3711D411yescharacteristic
138#3711D411yescharacteristic
139C32×C16C2311yescharacteristic
140C3⋊(C3⋊C16)C2311yescharacteristic
141C3×C3⋊C16C2311yescharacteristic
142C3×C3⋊C16C2311yescharacteristic
143#3415—91noSylow
144#1009—61no—
145#1009—61no—
146#1009—61no—
147#1004—61no—
148C3×#135—31no—
149C3×#135—31no—
150C3×#135—31no—
151C2×C3×D8—31no—
152#949—61no—
153#949—61no—
154#949—61no—
155#932—61no—
156#919—31no—
157#919—31no—
158#919—31no—
159#919—31no—
160#919—61no—
161#919C2×D311yescharacteristic, complemented
162#919C2×D311yescharacteristic, complemented
163#914—61no—
164#914—61no—
165#914—61no—
166#914—61no—
167#914—61no—
168#914—61no—
169#912—31no—
170#912C2×D311yescharacteristic, complemented
171#911—61no—
172#911—61no—
173D3×D8—31no—
174D3×D8—31no—
175D3×D8—31no—
176D3×D8—31no—
177D3×D8—31no—
178D3×D8—31no—
179D3×D8—31no—
180D3×D8—61no—
181D3×D8C2×D311yescharacteristic, complemented
182#904—31no—
183C2×D24—31no—
184C2×D24—31no—
185C2×D24—31no—
186#901—31no—
187#901—31no—
188C3×Q32—31no—
189C3×SD32—21no—
190C3×SD32—31no—
191C3×SD32—31no—
192C3×SD32C2×D311yescharacteristic, complemented
193C3×SD32C2×D311yescharacteristic, complemented
194C3×D16—31no—
195C3×D16—31no—
196C3×D16—31no—
197C3×M32—31no—
198C2×C3×C16—31no—
199#829C2×D311yescharacteristic, complemented
200#828—31no—
201#828—31no—
202#828—31no—
203#828—31no—
204#828—61no—
205#828C2×D311yescharacteristic, complemented
206#827—31no—
207#826—31no—
208#826—31no—
209#826—31no—
210#826—31no—
211#826—31no—
212#826—31no—
213#826—31no—
214#826—61no—
215#826C2×D311yescharacteristic, complemented
216#826C2×D311yescharacteristic, complemented
217#812—31no—
218C2×C3⋊C16—31no—
219#800—31no—
220#800C2×D311yescharacteristic, complemented
221D48—31no—
222D48—31no—
223D48—31no—
224D48—31no—
225D48—31no—
226D48—61no—
227D48C2×D311yescharacteristic, complemented
228#798—31no—
229#798—31no—
230#798—31no—
231#798—61no—
232#798C2×D311yescharacteristic, complemented
233D3×C16—31no—
234D3×C16—31no—
235D3×C16—31no—
236D3×C16C2×D311yescharacteristic, complemented
237C22×C3⋊D3—41no—
238C22×C3×D3—41no—
239C2×D32—41no—
240C2×D32—41no—
241C2×D32—41no—
242C2×D32—41no—
243C32×Q8—21no—
244C32×D4—21no—
245#638—41no—
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—41no—
249C4×C3⋊D3—41no—
250C4×C3⋊D3C2×D411yescharacteristic
251C3×#67—41no—
252C3×#67—41no—
253C2×C3×Dic3—41no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—41no—
258C3×D12—41no—
259C3×C4×D3—41no—
260C3×C4×D3—41no—
261C3×C4×D3C2×D411yescharacteristic
262C3×C4×D3C2×D411yescharacteristic
263C3×Dic6—21no—
264#627D811yescharacteristic
265#626—41no—
266#626—41no—
267#626—41no—
268#626—41no—
269#626—41no—
270#626D811yescharacteristic
271#626D811yescharacteristic
272#625—41no—
273#625D811yescharacteristic
274#624—41no—
275D3×Dic3—41no—
276C32×C8C2411yescharacteristic
277C3⋊(C3⋊C8)C2×D411yescharacteristic
278C3×C3⋊C8C2×D411yescharacteristic
279C3×C3⋊C8C2×D411yescharacteristic
280#576—91no—
281#576—91no—
282#509—31no—
283#509—91no—
284#509—91no—
285#509—91no—
286#509—91no—
287#509—91no—
288#508—31no—
289#508—91no—
290#508—91no—
291C2×D16—91no—
292C2×D16—91no—
293C2×D16—91no—
294#504—91no—
295C3×#41—61no—
296C3×#41—61no—
297C3×#41—61no—
298C2×C3×D4—61no—
299C2×#67—121no—
300C2×#67—121no—
301#239—21no—
302#239—21no—
303#239—61no—
304#239—61no—
305#239—61no—
306#239—61no—
307#239—121no—
308#237—21no—
309#237—61no—
310#237—121no—
311D3×D4—21no—
312D3×D4—61no—
313D3×D4—61no—
314D3×D4—61no—
315D3×D4—61no—
316D3×D4—61no—
317D3×D4—61no—
318D3×D4—61no—
319D3×D4—121no—
320D3×D4—121no—
321D3×D4—121no—
322D3×D4—121no—
323D3×D4—121no—
324D3×D4—121no—
325D3×D4—121no—
326D3×D4—121no—
327#235—31no—
328#235—31no—
329#235—61no—
330#235—121no—
331#235—121no—
332#235—121no—
333C2×D12—61no—
334C2×D12—61no—
335C2×D12—61no—
336C2×D12—121no—
337C2×D12—121no—
338C2×D12—121no—
339C3×Q16—21no—
340C3×Q16—31no—
341C3×Q16C22×D311yescharacteristic
342C3×Q16C22×D311yescharacteristic
343C3×SD16—61no—
344C3×SD16—61no—
345C3×SD16—61no—
346C3×D8—21no—
347C3×D8—31no—
348C3×D8—31no—
349C3×D8—31no—
350C3×D8—61no—
351C3×D8C22×D311yescharacteristic
352C3×D8C22×D311yescharacteristic
353C2×C3×C8—31no—
354C2×C3×C8—31no—
355#215—21no—
356#215—21no—
357#215—61no—
358#215—61no—
359#215—61no—
360#215—61no—
361#215—121no—
362#214—21no—
363#214—61no—
364#213—21no—
365#213—61no—
366#213—61no—
367#213—61no—
368#213—61no—
369#213—61no—
370#213—61no—
371#213—61no—
372#213—121no—
373#208—31no—
374#208—31no—
375Dic12C22×D311yescharacteristic
376D24—31no—
377D24—31no—
378D24—31no—
379D24—31no—
380D24—61no—
381D24—61no—
382D24—61no—
383D24—61no—
384D24—61no—
385D24C22×D311yescharacteristic
386D24C22×D311yescharacteristic
387D24C22×D311yescharacteristic
388#204—61no—
389ΓL(1,𝔽25)—31no—
390ΓL(1,𝔽25)—31no—
391ΓL(1,𝔽25)—31no—
392ΓL(1,𝔽25)—31no—
393D3×C8—31no—
394D3×C8—31no—
395D3×C8—61no—
396D3×C8C22×D311yescharacteristic
397D3×C8C22×D311yescharacteristic
398C3×C16—21no—
399C3×C16—31no—
400C3×C16—31no—
401C3×C16C22×D311yescharacteristic
402C3×C16C22×D311yescharacteristic
403C3⋊C16—31no—
404C3⋊C16—31no—
405C3⋊C16—61no—
406C3⋊C16C22×D311yescharacteristic
407C3⋊C16C22×D311yescharacteristic
408C22×C32—41no—
409C2×C3⋊D3—41no—
410C2×C3⋊D3—41no—
411C2×C3⋊D3—161no—
412C2×C3⋊D3C2×D811yescharacteristic
413C2×C3×D3—41no—
414C2×C3×D3—41no—
415C2×C3×D3—41no—
416C2×C3×D3—161no—
417C2×C3×D3C2×D811yescharacteristic
418C2×C3×D3C2×D811yescharacteristic
419D32—161no—
420D32—161no—
421D32—161no—
422D32—161no—
423C32×C4—41no—
424C32×C4C22×D411yescharacteristic
425C3⋊Dic3C2×D811yescharacteristic
426C3×Dic3—41no—
427C3×Dic3C2×D811yescharacteristic
428C3×Dic3C2×D811yescharacteristic
429H(5,𝔽2)—181no—
430H(5,𝔽2)—181no—
431AGL(1,ℤ/8)—181no—
432AGL(1,ℤ/8)—181no—
433AGL(1,ℤ/8)—181no—
434AGL(1,ℤ/8)—181no—
435AGL(1,ℤ/8)—181no—
436AGL(1,ℤ/8)—181no—
437#135—31no—
438#135—31no—
439#135—31no—
440#135—91no—
441#135—91no—
442#135—91no—
443C2×D8—31no—
444C2×D8—91no—
445C2×D8—91no—
446C2×D8—91no—
447C2×D8—91no—
448C2×D8—91no—
449#131—91no—
450Q32—31no—
451SD32—31no—
452SD32—31no—
453SD32—91no—
454SD32—91no—
455SD32—91no—
456SD32D3211yescharacteristic, complemented
457D16—31no—
458D16—31no—
459D16—31no—
460D16—91no—
461D16—91no—
462D16—91no—
463D16—91no—
464D16—91no—
465D16—91no—
466M32—31no—
467M32—91no—
468M32—91no—
469C2×C16—31no—
470C2×C16—91no—
471C2×C16—91no—
472C23×C3—121no—
473C22×D3—41no—
474C22×D3—121no—
475C22×D3—121no—
476C22×D3—121no—
477C22×D3—121no—
478C22×D3—121no—
479C22×D3—121no—
480C22×D3—121no—
481C22×D3—121no—
482C22×D3—121no—
483C22×D3—121no—
484C22×D3—241no—
485C3×Q8—21no—
486C3×Q8—21no—
487C3×Q8—41no—
488C3×Q8—61no—
489C3×D4—21no—
490C3×D4—21no—
491C3×D4—41no—
492C3×D4—61no—
493C3×D4—61no—
494C3×D4—61no—
495C3×D4—121no—
496C3×D4—121no—
497C3×D4—121no—
498C3×D4—121no—
499C2×C3×C4—31no—
500C2×C3×C4—31no—
501C2×C3×C4—121no—
502C2×C3×C4—121no—
503C2×C3×C4—121no—
504#67—31no—
505#67—31no—
506#67—31no—
507#67—31no—
508#67—41no—
509#67—41no—
510#67—121no—
511#67—121no—
512#67—121no—
513#67—121no—
514#67—121no—
515#67—121no—
516#67—121no—
517#67—121no—
518#67—121no—
519#67—241no—
520C2×Dic3—41no—
521C2×Dic3—121no—
522D12—21no—
523D12—21no—
524D12—21no—
525D12—31no—
526D12—31no—
527D12—41no—
528D12—41no—
529D12—61no—
530D12—61no—
531D12—61no—
532D12—61no—
533D12—121no—
534D12—121no—
535D12—121no—
536D12—121no—
537D12—121no—
538D12—121no—
539D12—121no—
540D12—121no—
541D12—121no—
542D12—241no—
543C4×D3—31no—
544C4×D3—31no—
545C4×D3—41no—
546C4×D3—41no—
547C4×D3—61no—
548C4×D3—121no—
549C4×D3—121no—
550C4×D3—121no—
551C4×D3—121no—
552C4×D3—121no—
553C4×D3—241no—
554C4×D3D3×D411yescharacteristic
555C4×D3D3×D411yescharacteristic
556Dic6—21no—
557Dic6—31no—
558Dic6—31no—
559C3×C8—21no—
560C3×C8—31no—
561C3×C8—31no—
562C3×C8C23×D311yescharacteristic
563C3×C8C23×D311yescharacteristic
564C3⋊C8—31no—
565C3⋊C8—31no—
566C3⋊C8—61no—
567C3⋊C8D3×D411yescharacteristic
568C3⋊C8D3×D411yescharacteristic
569C2×C32—81no—
570C2×C32C22×D811yescharacteristic
571C3⋊D3—21no—
572C3⋊D3—81no—
573C3⋊D3—81no—
574C3×D3—21no—
575C3×D3—21no—
576C3×D3—81no—
577C3×D3—81no—
578C3×D3—81no—
579#41—61no—
580#41—61no—
581#41—61no—
582#41—91no—
583#41—181no—
584#41—181no—
585#41—181no—
586#41—361no—
587#41—361no—
588C2×D4—61no—
589C2×D4—181no—
590C2×D4—181no—
591C2×D4—181no—
592C2×D4—181no—
593C2×D4—181no—
594C2×D4—361no—
595C2×D4—361no—
596C2×D4—361no—
597C2×D4—361no—
598C2×D4—361no—
599C2×D4—361no—
600Q16—31no—
601Q16C2×D3211yescharacteristic
602SD16—61no—
603SD16—61no—
604SD16—61no—
605SD16—181no—
606SD16—181no—
607SD16—181no—
608D8—31no—
609D8—31no—
610D8—31no—
611D8—61no—
612D8—91no—
613D8—91no—
614D8—181no—
615D8—181no—
616D8—181no—
617D8—181no—
618D8—181no—
619D8C2×D3211yescharacteristic
620M16—91no—
621M16—91no—
622M16—91no—
623C2×C8—31no—
624C2×C8—31no—
625C2×C8—91no—
626C16—31no—
627C16—31no—
628C16—91no—
629C16C2×D3211yescharacteristic
630C22×C3—31no—
631C22×C3—31no—
632C22×C3—41no—
633C22×C3—41no—
634C22×C3—81no—
635C22×C3—121no—
636C22×C3—121no—
637C22×C3—121no—
638C22×C3—481no—
639C2×D3—31no—
640C2×D3—31no—
641C2×D3—41no—
642C2×D3—41no—
643C2×D3—41no—
644C2×D3—61no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—161no—
650C2×D3—241no—
651C2×D3—241no—
652C2×D3—481no—
653C2×D3—481no—
654C2×D3—481no—
655C2×D3—481no—
656C2×D3—481no—
657C2×D3—481no—
658C2×D3—481no—
659C2×D3—481no—
660C2×D3—481no—
661C2×D3—481no—
662C2×D3—482no—
663C2×D3D3×D811yescharacteristic
664C2×D3D3×D811yescharacteristic
665C3×C4—21no—
666C3×C4—31no—
667C3×C4—31no—
668C3×C4—41no—
669C3×C4—41no—
670C3×C4—81no—
671C3×C4—121no—
672C3×C4C2×D3×D411yescharacteristic
673C3×C4C2×D3×D411yescharacteristic
674Dic3—31no—
675Dic3—31no—
676Dic3—41no—
677Dic3—61no—
678Dic3D3×D811yescharacteristic
679Dic3D3×D811yescharacteristic
680C32#341511yescharacteristic, complemented, Sylow
681C23—121no—
682C23—361no—
683C23—361no—
684C23—361no—
685C23—361no—
686C23—361no—
687Q8—21no—
688Q8—61no—
689Q8—91no—
690D4—21no—
691D4—61no—
692D4—61no—
693D4—61no—
694D4—91no—
695D4—91no—
696D4—91no—
697D4—121no—
698D4—121no—
699D4—121no—
700D4—121no—
701D4—181no—
702D4—181no—
703D4—361no—
704D4—361no—
705D4—361no—
706D4—361no—
707D4—361no—
708D4—361no—
709D4—361no—
710D4—361no—
711C2×C4—31no—
712C2×C4—31no—
713C2×C4—91no—
714C2×C4—121no—
715C2×C4—121no—
716C2×C4—121no—
717C2×C4—361no—
718C2×C4—361no—
719C2×C4—361no—
720C8—31no—
721C8—31no—
722C8—91no—
723C8C22×D3211yescharacteristic
724C2×C3—21no—
725C2×C3—61no—
726C2×C3—61no—
727C2×C3—81no—
728C2×C3—81no—
729C2×C3—161no—
730C2×C3—241no—
731C2×C3—241no—
732C2×C3—241no—
733C2×C3C2×D3×D811yescharacteristic
734C2×C3C2×D3×D811yescharacteristic
735D3—21no—
736D3—21no—
737D3—61no—
738D3—61no—
739D3—81no—
740D3—81no—
741D3—81no—
742D3—121no—
743D3—241no—
744D3—241no—
745D3—241no—
746D3—241no—
747D3—481no—
748D3—481no—
749C22—31no—
750C22—31no—
751C22—41no—
752C22—91no—
753C22—121no—
754C22—121no—
755C22—121no—
756C22—361no—
757C22—361no—
758C22—481no—
759C22—1441no—
760C22—1441no—
761C22—1441no—
762C22—1441no—
763C22—1441no—
764C4—31no—
765C4—31no—
766C4—41no—
767C4—91no—
768C4—121no—
769C4D32×D411yescharacteristic
770C3—21no—
771C3#8203111yescharacteristic, complemented
772C3#8203611yescharacteristic, complemented
773C2—61no—
774C2—61no—
775C2—81no—
776C2—181no—
777C2—241no—
778C2—241no—
779C2—241no—
780C2—721no—
781C2—721no—
782C2D32×D811yescharacteristic
subgroupG/H
centerC2D32×D8
commutator, cosocleC32×C8C24
FrattiniC8C22×D32
FittingC32×SD32C22
socleC2×C32C22×D8
hypercenterSD32D32
hypocenterC32#3415
LCSG ▷ C32×C8 ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ SD32

Complements

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

NH ≅ G/Ntype
1. #10594771C2semidirect
2. #10594734C2semidirect
3. #10592613C2semidirect
4. C3×#4916C2semidirect
5. C3×#4914C2semidirect
6. #10591049C2semidirect
7. #10591048C2semidirect
8. #10591038C2semidirect
9. #10591025C2semidirect
10. #10591024C2semidirect
11. D3×#826C2semidirect
12. #10590236C2semidirect
13. #10590233C2semidirect
14. D3×D48C2semidirect
15. #10590228C2semidirect
20. #64128C22semidirect
21. D8×C3⋊D3C22semidirect
22. C3×#919C22semidirect
23. C3×#919C22semidirect
24. C3×#912C22semidirect
25. C3×D3×D8C22semidirect
32. #63810C22semidirect
33. #63808C22semidirect
35. #63797C22semidirect
36. D3×D24C22semidirect
37. D3×D24C22semidirect
38. D3×D24C22semidirect
39. C32×SD32C22semidirect
40. #63655C22semidirect
41. #63653C22semidirect
42. #63626C22semidirect
43. #63625C22semidirect
44. C3×#829C22semidirect
45. C3×#828C22semidirect
46. C3×#826C22semidirect
47. C3×#826C22semidirect
48. C3×#800C22semidirect
49. C3×D48C22semidirect
50. C3×#798C22semidirect
51. C3×D3×C16C22semidirect
52. #63549C22semidirect
53. #63547C22semidirect
54. #63546C22semidirect
55. #63546C22semidirect
56. #63546C22semidirect
57. #63545C22semidirect
58. #63543C22semidirect
59. #63542C22semidirect
60. D3×C3⋊C16C22semidirect
74. #4916D3semidirect
81. #4914D3semidirect
161. #919C2×D3semidirect
162. #919C2×D3semidirect
170. #912C2×D3semidirect
181. D3×D8C2×D3semidirect
192. C3×SD32C2×D3semidirect
193. C3×SD32C2×D3semidirect
199. #829C2×D3semidirect
205. #828C2×D3semidirect
215. #826C2×D3semidirect
216. #826C2×D3semidirect
220. #800C2×D3semidirect
227. D48C2×D3semidirect
232. #798C2×D3semidirect
236. D3×C16C2×D3semidirect
456. SD32D32semidirect
680. C32#3415semidirect
771. C3#82031semidirect
772. C3#82036semidirect

Maximal subgroups

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

subgroupindex
#105947712
#105947342
#105926132
C3×#49162
C3×#49142
#105910492
#105910482
#105910382
#105910252
#105910242
D3×#8262
#105902362
#105902332
D3×D482
#105902282
#820363
#820313