Finite Group Databasebeta

← #11899679

Subgroups — #11899679

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#10594734C211yesmaximal, characteristic, complemented
2#10594731C211yesmaximal, characteristic, complemented
3#10592610C211yesmaximal, characteristic, complemented
4C3×#4911C211yesmaximal, characteristic, complemented
5C3×D3×D16C211yesmaximal, characteristic, complemented
6#10591035C211yesmaximal, characteristic, complemented
7#10591033C211yesmaximal, characteristic, complemented
8#10591032C211yesmaximal, characteristic, complemented
9#10591031C211yesmaximal, characteristic, complemented
10#10591025C211yesmaximal, characteristic, complemented
11D3×#826C211yesmaximal, characteristic, complemented
12#10590242C211yesmaximal, characteristic, complemented
13#10590236C211yesmaximal, characteristic, complemented
14#10590232C211yesmaximal, characteristic, complemented
15#10590228C211yesmaximal, characteristic, complemented
16#82036—31nomaximal
17#82019—31nomaximal
18#64314—21no—
19#64313—21no—
20#64121C2211yescharacteristic, complemented
21D8×C3⋊D3C2211yescharacteristic, complemented
22C3×#912C2211yescharacteristic, complemented
23C3×D3×D8C2211yescharacteristic, complemented
24C3×D3×D8C2211yescharacteristic, complemented
25C3×D3×D8C2211yescharacteristic, complemented
26#63937—21no—
27#63934—21no—
28#63932—21no—
29#63932—21no—
30#63927—21no—
31#63925—21no—
32#63810C2211yescharacteristic, complemented
33#63808C2211yescharacteristic, complemented
34#63807C2211yescharacteristic, complemented
35#63807C2211yescharacteristic, complemented
36#63803C2211yescharacteristic
37#63797C2211yescharacteristic, complemented
38D3×D24C2211yescharacteristic, complemented
39C32×D16C2211yescharacteristic, complemented
40#63654C2211yescharacteristic, complemented
41#63653C2211yescharacteristic, complemented
42#63627C2211yescharacteristic, complemented
43#63625C2211yescharacteristic, complemented
44C3×#827C2211yescharacteristic, complemented
45C3×#826C2211yescharacteristic, complemented
46C3×#826C2211yescharacteristic, complemented
47C3×#826C2211yescharacteristic, complemented
48C3×#800C2211yescharacteristic, complemented
49C3×D48C2211yescharacteristic, complemented
50C3×#798C2211yescharacteristic, complemented
51C3×D3×C16C2211yescharacteristic, complemented
52#63551C2211yescharacteristic, complemented
53#63548C2211yescharacteristic, complemented
54#63547C2211yescharacteristic, complemented
55#63546C2211yescharacteristic, complemented
56#63546C2211yescharacteristic, complemented
57#63545C2211yescharacteristic, complemented
58#63543C2211yescharacteristic, complemented
59#63542C2211yescharacteristic, complemented
60D3×C3⋊C16C2211yescharacteristic, complemented
61#5769—31no—
62#5757—31no—
63#5757—31no—
64#5757—31no—
65C3×#509—31no—
66C2×C3×D16—31no—
67#5194—31no—
68#5147—31no—
69#5147—31no—
70C2×#826—31no—
71#4916—31no—
72#4916—31no—
73#4914—31no—
74#4914—31no—
75#4912—31no—
76#4912—31no—
77#4911—31no—
78#4911—31no—
79#4911—31no—
80#4911—31no—
81#4911—31no—
82#4911—61no—
83#4911D311yescharacteristic, complemented
84D3×D16—31no—
85D3×D16—31no—
86D3×D16—31no—
87D3×D16D311yescharacteristic, complemented
88#4908—31no—
89#4907—31no—
90#4904—31no—
91#4901—31no—
92#3830—21no—
93D4×C3⋊D3—21no—
94C3×#237—21no—
95C3×D3×D4—21no—
96C3×D3×D4—21no—
97C3×D3×D4—21no—
98#3811—41no—
99D3×#67—41no—
100D3×#67—41no—
101D3×#67—41no—
102C2×#626—41no—
103C2×#625—41no—
104#3805—41no—
105#3804—41no—
106#3802—21no—
107D3×D12—21no—
108#3799—21no—
109#3798D411yescharacteristic
110#3796—21no—
111#3795—21no—
112#3795—21no—
113C32×D8C2311yescharacteristic
114C32×D8C2311yescharacteristic
115#3754—21no—
116#3753—21no—
117#3746C2311yescharacteristic
118#3745C2311yescharacteristic
119C8×C3⋊D3C2311yescharacteristic
120C3×#214—21no—
121C3×#213—21no—
122C3×#213—21no—
123C3×#213—21no—
124C3×Dic12C2311yescharacteristic
125C3×D24C2311yescharacteristic
126C3×D24C2311yescharacteristic
127C3×D24C2311yescharacteristic
128C3×D3×C8C2311yescharacteristic
129C3×D3×C8C2311yescharacteristic
130#3717—21no—
131#3716—21no—
132#3716—21no—
133#3715—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#1004—61no—
146#1004—61no—
147#1004—61no—
148C3×#135—31no—
149C2×C3×D8—31no—
150C2×C3×D8—31no—
151C2×C3×D8—31no—
152#949—61no—
153#932—61no—
154#932—61no—
155#932—61no—
156#919—31no—
157#919—31no—
158#914—61no—
159#914—61no—
160#912—31no—
161#912—31no—
162#912—31no—
163#912—31no—
164#912—31no—
165#912—61no—
166#912C2×D311yescharacteristic, complemented
167#911—61no—
168#911—61no—
169#911—61no—
170#911—61no—
171#911—61no—
172#911—61no—
173D3×D8—31no—
174D3×D8—31no—
175D3×D8—31no—
176D3×D8—31no—
177D3×D8—31no—
178D3×D8—61no—
179D3×D8C2×D311yescharacteristic, complemented
180D3×D8C2×D311yescharacteristic, complemented
181D3×D8C2×D311yescharacteristic, complemented
182#904—31no—
183#904—31no—
184#904—31no—
185C2×D24—31no—
186#901—31no—
187#901—31no—
188C3×SD32—31no—
189C3×SD32—31no—
190C3×D16—21no—
191C3×D16—31no—
192C3×D16—31no—
193C3×D16—31no—
194C3×D16—31no—
195C3×D16C2×D311yescharacteristic, complemented
196C3×D16C2×D311yescharacteristic, complemented
197C3×M32—31no—
198C2×C3×C16—31no—
199#829—31no—
200#828—31no—
201#827—31no—
202#827—31no—
203#827—31no—
204#827—31no—
205#827—61no—
206#827C2×D311yescharacteristic, complemented
207#826—31no—
208#826—31no—
209#826—31no—
210#826—31no—
211#826—31no—
212#826—31no—
213#826—61no—
214#826C2×D311yescharacteristic, complemented
215#826C2×D311yescharacteristic, complemented
216#826C2×D311yescharacteristic, complemented
217#812—31no—
218C2×C3⋊C16—31no—
219Dic24—31no—
220#800—31no—
221#800—31no—
222#800—31no—
223#800—61no—
224#800C2×D311yescharacteristic, complemented
225D48—31no—
226D48—31no—
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—
239C22×C3×D3—41no—
240C22×C3×D3—41no—
241C2×D32—41no—
242C2×D32—41no—
243C32×D4—21no—
244C32×D4—21no—
245#638—41no—
246#638—41no—
247C2×C3⋊Dic3—41no—
248C4⋊(C3⋊D3)—21no—
249C4×C3⋊D3C2×D411yescharacteristic
250#634—21no—
251C3×#67—41no—
252C3×#67—41no—
253C3×#67—41no—
254C3×#67—41no—
255C2×C3×Dic3—41no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×C4×D3C2×D411yescharacteristic
260C3×C4×D3C2×D411yescharacteristic
261C3×Dic6—21no—
262#627D811yescharacteristic
263#626—41no—
264#626—41no—
265#626—41no—
266#626D811yescharacteristic
267#626D811yescharacteristic
268#625—41no—
269#625—41no—
270#625—41no—
271#625D811yescharacteristic
272#624—41no—
273D3×Dic3—41no—
274D3×Dic3—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—91no—
289#508—91no—
290#508—91no—
291C2×D16—31no—
292C2×D16—91no—
293C2×D16—91no—
294#504—91no—
295C3×#41—61no—
296C2×C3×D4—61no—
297C2×C3×D4—61no—
298C2×C3×D4—61no—
299C2×#67—121no—
300C2×#67—121no—
301C2×#67—121no—
302C2×#67—121no—
303C2×#67—121no—
304C2×#67—121no—
305#239—61no—
306#239—61no—
307#237—21no—
308#237—61no—
309#237—61no—
310#237—61no—
311#237—61no—
312#237—61no—
313#237—121no—
314#237—121no—
315#237—121no—
316#237—121no—
317D3×D4—21no—
318D3×D4—21no—
319D3×D4—21no—
320D3×D4—61no—
321D3×D4—61no—
322D3×D4—61no—
323D3×D4—61no—
324D3×D4—61no—
325D3×D4—121no—
326D3×D4—121no—
327D3×D4—121no—
328D3×D4—121no—
329D3×D4—121no—
330D3×D4—121no—
331#235—31no—
332#235—31no—
333#235—61no—
334#235—61no—
335#235—61no—
336#235—121no—
337C2×D12—61no—
338C2×D12—121no—
339C3×Q16—31no—
340C3×SD16—61no—
341C3×D8—21no—
342C3×D8—21no—
343C3×D8—31no—
344C3×D8—31no—
345C3×D8—31no—
346C3×D8—61no—
347C3×D8—61no—
348C3×D8—61no—
349C3×D8C22×D311yescharacteristic
350C3×D8C22×D311yescharacteristic
351C3×D8C22×D311yescharacteristic
352C3×D8C22×D311yescharacteristic
353C2×C3×C8—31no—
354C2×C3×C8—31no—
355#215—61no—
356#215—61no—
357#214—21no—
358#214—61no—
359#214—61no—
360#214—61no—
361#214—61no—
362#214—61no—
363#214—121no—
364#213—21no—
365#213—21no—
366#213—21no—
367#213—61no—
368#213—61no—
369#213—61no—
370#213—61no—
371#213—61no—
372#213—121no—
373#208—31no—
374#208—31no—
375Dic12—31no—
376Dic12—31no—
377Dic12—61no—
378Dic12C22×D311yescharacteristic
379D24—31no—
380D24—31no—
381D24—61no—
382D24—61no—
383D24C22×D311yescharacteristic
384D24C22×D311yescharacteristic
385D24C22×D311yescharacteristic
386#204—61no—
387#204—61no—
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—
409C22×C32—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×D3—161no—
418C2×C3×D3—161no—
419C2×C3×D3C2×D811yescharacteristic
420C2×C3×D3C2×D811yescharacteristic
421D32—161no—
422D32—161no—
423C32×C4C22×D411yescharacteristic
424C3⋊Dic3—41no—
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—91no—
439#135—91no—
440#135—91no—
441#135—91no—
442#135—91no—
443C2×D8—31no—
444C2×D8—31no—
445C2×D8—31no—
446C2×D8—91no—
447C2×D8—91no—
448C2×D8—91no—
449#131—91no—
450Q32—91no—
451SD32—31no—
452SD32—31no—
453SD32—91no—
454SD32—91no—
455SD32—91no—
456SD32—91no—
457D16—31no—
458D16—31no—
459D16—31no—
460D16—31no—
461D16—91no—
462D16—91no—
463D16—91no—
464D16—91no—
465D16D3211yescharacteristic, complemented
466M32—31no—
467M32—91no—
468M32—91no—
469C2×C16—31no—
470C2×C16—91no—
471C2×C16—91no—
472C23×C3—121no—
473C23×C3—121no—
474C23×C3—121no—
475C22×D3—41no—
476C22×D3—41no—
477C22×D3—41no—
478C22×D3—121no—
479C22×D3—121no—
480C22×D3—121no—
481C22×D3—121no—
482C22×D3—121no—
483C22×D3—121no—
484C22×D3—241no—
485C3×Q8—61no—
486C3×D4—21no—
487C3×D4—21no—
488C3×D4—21no—
489C3×D4—21no—
490C3×D4—41no—
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—
502#67—31no—
503#67—31no—
504#67—31no—
505#67—31no—
506#67—41no—
507#67—41no—
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—121no—
520#67—121no—
521#67—121no—
522#67—121no—
523#67—241no—
524#67—241no—
525C2×Dic3—41no—
526C2×Dic3—121no—
527C2×Dic3—121no—
528C2×Dic3—121no—
529C2×Dic3—121no—
530C2×Dic3—121no—
531C2×Dic3—241no—
532D12—21no—
533D12—21no—
534D12—21no—
535D12—31no—
536D12—31no—
537D12—61no—
538D12—61no—
539D12—121no—
540D12—121no—
541D12—121no—
542D12—121no—
543C4×D3—31no—
544C4×D3—31no—
545C4×D3—61no—
546C4×D3—121no—
547C4×D3—121no—
548C4×D3—121no—
549C4×D3—121no—
550C4×D3—121no—
551C4×D3D3×D411yescharacteristic
552C4×D3D3×D411yescharacteristic
553Dic6—21no—
554Dic6—31no—
555Dic6—31no—
556Dic6—61no—
557Dic6—61no—
558Dic6—121no—
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×C32—81no—
571C2×C32C22×D811yescharacteristic
572C3⋊D3—21no—
573C3⋊D3—81no—
574C3×D3—21no—
575C3×D3—21no—
576C3×D3—81no—
577C3×D3—81no—
578C3×D3—81no—
579#41—61no—
580#41—91no—
581#41—181no—
582#41—181no—
583#41—181no—
584#41—181no—
585#41—181no—
586#41—361no—
587#41—361no—
588C2×D4—61no—
589C2×D4—61no—
590C2×D4—61no—
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—
601Q16—91no—
602SD16—61no—
603SD16—181no—
604SD16—181no—
605SD16—181no—
606SD16—181no—
607SD16—181no—
608D8—31no—
609D8—31no—
610D8—31no—
611D8—61no—
612D8—61no—
613D8—61no—
614D8—91no—
615D8—181no—
616D8—181no—
617D8—181no—
618D8C2×D3211yescharacteristic
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—41no—
635C22×C3—41no—
636C22×C3—81no—
637C22×C3—81no—
638C22×C3—121no—
639C22×C3—121no—
640C22×C3—121no—
641C22×C3—481no—
642C22×C3—481no—
643C22×C3—481no—
644C2×D3—31no—
645C2×D3—31no—
646C2×D3—41no—
647C2×D3—41no—
648C2×D3—41no—
649C2×D3—61no—
650C2×D3—121no—
651C2×D3—121no—
652C2×D3—161no—
653C2×D3—161no—
654C2×D3—161no—
655C2×D3—241no—
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—121no—
669C3×C4C2×D3×D411yescharacteristic
670C3×C4C2×D3×D411yescharacteristic
671Dic3—31no—
672Dic3—31no—
673Dic3—41no—
674Dic3—61no—
675Dic3—121no—
676Dic3—121no—
677Dic3—241no—
678Dic3D3×D811yescharacteristic
679Dic3D3×D811yescharacteristic
680C32#341511yescharacteristic, complemented, Sylow
681C23—121no—
682C23—121no—
683C23—121no—
684C23—361no—
685C23—361no—
686C23—361no—
687Q8—61no—
688Q8—91no—
689Q8—181no—
690D4—21no—
691D4—21no—
692D4—61no—
693D4—61no—
694D4—61no—
695D4—91no—
696D4—91no—
697D4—91no—
698D4—121no—
699D4—121no—
700D4—121no—
701D4—121no—
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—361no—
716C2×C4—361no—
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—81no—
730C2×C3—81no—
731C2×C3—161no—
732C2×C3—161no—
733C2×C3—241no—
734C2×C3—241no—
735C2×C3—241no—
736C2×C3C2×D3×D811yescharacteristic
737C2×C3C2×D3×D811yescharacteristic
738D3—21no—
739D3—21no—
740D3—61no—
741D3—61no—
742D3—81no—
743D3—81no—
744D3—81no—
745D3—121no—
746D3—241no—
747D3—241no—
748D3—481no—
749C22—31no—
750C22—31no—
751C22—41no—
752C22—41no—
753C22—91no—
754C22—121no—
755C22—121no—
756C22—121no—
757C22—361no—
758C22—481no—
759C22—481no—
760C22—481no—
761C22—1441no—
762C22—1441no—
763C22—1441no—
764C4—31no—
765C4—31no—
766C4—91no—
767C4—121no—
768C4—361no—
769C4D32×D411yescharacteristic
770C3—21no—
771C3#8201911yescharacteristic, complemented
772C3#8203611yescharacteristic, complemented
773C2—61no—
774C2—61no—
775C2—81no—
776C2—81no—
777C2—181no—
778C2—241no—
779C2—241no—
780C2—241no—
781C2—721no—
782C2D32×D811yescharacteristic
subgroupG/H
centerC2D32×D8
commutator, cosocleC32×C8C24
FrattiniC8C22×D32
FittingC32×D16C22
socleC2×C32C22×D8
hypercenterD16D32
hypocenterC32#3415
LCSG ▷ C32×C8 ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ D16

Complements

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

NH ≅ G/Ntype
1. #10594734C2semidirect
2. #10594731C2semidirect
3. #10592610C2semidirect
4. C3×#4911C2semidirect
5. C3×D3×D16C2semidirect
6. #10591035C2semidirect
7. #10591033C2semidirect
8. #10591032C2semidirect
9. #10591031C2semidirect
10. #10591025C2semidirect
11. D3×#826C2semidirect
12. #10590242C2semidirect
13. #10590236C2semidirect
14. #10590232C2semidirect
15. #10590228C2semidirect
20. #64121C22semidirect
21. D8×C3⋊D3C22semidirect
22. C3×#912C22semidirect
23. C3×D3×D8C22semidirect
24. C3×D3×D8C22semidirect
25. C3×D3×D8C22semidirect
32. #63810C22semidirect
33. #63808C22semidirect
34. #63807C22semidirect
35. #63807C22semidirect
37. #63797C22semidirect
38. D3×D24C22semidirect
39. C32×D16C22semidirect
40. #63654C22semidirect
41. #63653C22semidirect
42. #63627C22semidirect
43. #63625C22semidirect
44. C3×#827C22semidirect
45. C3×#826C22semidirect
46. C3×#826C22semidirect
47. C3×#826C22semidirect
48. C3×#800C22semidirect
49. C3×D48C22semidirect
50. C3×#798C22semidirect
51. C3×D3×C16C22semidirect
52. #63551C22semidirect
53. #63548C22semidirect
54. #63547C22semidirect
55. #63546C22semidirect
56. #63546C22semidirect
57. #63545C22semidirect
58. #63543C22semidirect
59. #63542C22semidirect
60. D3×C3⋊C16C22semidirect
83. #4911D3semidirect
87. D3×D16D3semidirect
166. #912C2×D3semidirect
179. D3×D8C2×D3semidirect
180. D3×D8C2×D3semidirect
181. D3×D8C2×D3semidirect
195. C3×D16C2×D3semidirect
196. C3×D16C2×D3semidirect
206. #827C2×D3semidirect
214. #826C2×D3semidirect
215. #826C2×D3semidirect
216. #826C2×D3semidirect
224. #800C2×D3semidirect
227. D48C2×D3semidirect
232. #798C2×D3semidirect
236. D3×C16C2×D3semidirect
465. D16D32semidirect
680. C32#3415semidirect
771. C3#82019semidirect
772. C3#82036semidirect

Maximal subgroups

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

subgroupindex
#105947342
#105947312
#105926102
C3×#49112
C3×D3×D162
#105910352
#105910332
#105910322
#105910312
#105910252
D3×#8262
#105902422
#105902362
#105902322
#105902282
#820363
#820193