Finite Group Databasebeta

← #11675269

Subgroups — #11675269

Order 768.

1862 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86223C211yesmaximal, characteristic, complemented
2#85766C211yesmaximal, characteristic, complemented
3C3×#3036C211yesmaximal, characteristic, complemented
4#83934C212yesmaximal, complemented
5#83930C212yesmaximal, complemented
6#83282C211yesmaximal, characteristic, complemented
7C2×#5014C211yesmaximal, characteristic, complemented
8#80521C214yesmaximal, complemented
9#80520C214yesmaximal, complemented
10#80419C214yesmaximal, complemented
11#80321C214yesmaximal, complemented
12#79059C211yesmaximal, characteristic, complemented
13#79045C211yesmaximal, characteristic, complemented
14#78876C212yesmaximal, complemented
15#78873C212yesmaximal, complemented
16#61332—31nomaximal, Sylow
17C2×C3×AGL(1,ℤ/8)C2212yes—
18C3×#532C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20#5830C2212yes—
21#5827C2212yes—
22#5798C2212yes—
23C22×#213C2211yescharacteristic
24C2×#924—22no—
25#5732C2212yescomplemented
26#5718C2212yescomplemented
27#5681C2214yescomplemented
28#5617—22no—
29#5606—22no—
30#5565—22no—
31#5563—21no—
32#5555—21no—
33#5543—21no—
34#5543C2212yescomplemented
35#5539—22no—
36#5539C2214yescomplemented
37D4×Dic6—21no—
38D4×Dic6C2212yescomplemented
39#5500C2212yes—
40#5483—22no—
41C2×C4×D12C2211yescharacteristic
42#5470C2211yescharacteristic
43#5470C2211yescharacteristic
44C3×#463C2214yescomplemented
45C3×#461C2212yescomplemented
46C3×#459C2212yescomplemented
47C3×#423C2211yescharacteristic
48C3×#417C2212yes—
49#5233C2212yes—
50#5233C2212yes—
51C2×#832C2211yescharacteristic
52#5165C2214yes—
53#5165C2214yes—
54#5164C2214yescomplemented
55Dic3×SD16C2214yescomplemented
56#5152C2214yescomplemented
57#5150C2214yes—
58#5150C2214yes—
59Dic3×D8C2214yescomplemented
60#5131C2212yes—
61#5122C2212yes—
62#5121C2212yes—
63#5119C2212yes—
64#5082C2212yescomplemented
65#5071C2212yescomplemented
66#5055C2212yescomplemented
67#5055C2212yescomplemented
68#5014C2214yes—
69#5014C2214yes—
70C2×#809C2211yescharacteristic
71C2×#808C2211yescharacteristic
72C2×#803C2211yescharacteristic
73#4847C2214yescomplemented
74#4846C2212yescomplemented
75#4842C2212yescomplemented
76#4828C2214yescomplemented
77#4828C2214yescomplemented
78#4800C2214yescomplemented
79#4796C2214yescomplemented
80#4794C2214yescomplemented
81#4791C2214yescomplemented
82#4766C2214yescomplemented
83#4764C2214yescomplemented
84#4761C2214yescomplemented
85#4760C2214yescomplemented
86#3506—31no—
87#3501—31no—
88#3376—34no—
89#3373—34no—
90#3370—34no—
91#3366—34no—
92#3136—32no—
93#3135—31no—
94#3084—32no—
95#3077—31no—
96#3041—32no—
97#3036D311yescharacteristic, complemented
98#2961—31no—
99#2946—32no—
100C2×#442—31no—
101C2×C3×#41C2312yes—
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4—21no—
104C2×#237—22no—
105C22×D12C2311yescharacteristic
106C22×C4×D3—21no—
107C22×Dic6—22no—
108C3×AGL(1,ℤ/8)—28no—
109C2×C3×SD16C2314yes—
110C2×C3×D8C2314yes—
111C2×C3×M16C2312yes—
112C3×C4⋊Q8C2311yescharacteristic
113C3×#127C2311yescharacteristic
114C3×#124C2312yes—
115C3×#121—21no—
116C3×#121—21no—
117C3×C4×D4—21no—
118C3×C4×D4—21no—
119C3×C4×D4—21no—
120C3×C4×D4—21no—
121C3×C4×D4C2312yes—
122C3×C4×D4C2312yes—
123C2×C3×C4⋊C4C2311yescharacteristic
124C2×C3×C22⋊C4—21no—
125C2×C3×C42C2311yescharacteristic
126C2×#217—24no—
127#947C2314yes—
128Q8×Dic3C2314yes—
129#940C2314yes—
130#939—24no—
131#938—22no—
132#937—24no—
133D4×Dic3—24no—
134D4×Dic3—22no—
135D4×Dic3—22no—
136D4×Dic3C2314yes—
137D4×Dic3C2314yes—
138D4×Dic3C2314yes—
139C2×#213—24no—
140C2×#213C2314yes—
141#930—22no—
142#930—22no—
143C2×(C2×D3)⋊C4—21no—
144#926—22no—
145#926C2312yes—
146#926C2312yes—
147C2×C4⋊Dic3—22no—
148C2×C4⋊Dic3—22no—
149C2×C4⋊Dic3C2311yescharacteristic
150#924—21no—
151#924—21no—
152#924—22no—
153#924—24no—
154#924—22no—
155#924—24no—
156#924D412yes—
157#924D412yes—
158C2×Dic3⋊C4—24no—
159C22×C3⋊C8C2311yescharacteristic
160C22×C3⋊C8C2311yescharacteristic
161#898—24no—
162#897—22no—
163#892—22no—
164#890—22no—
165#890C2314yes—
166#888—22no—
167#888C2314yes—
168#886—24no—
169#885—24no—
170#883—24no—
171#67⋊C4—24no—
172#878—24no—
173#878—24no—
174#878—24no—
175#878—24no—
176C4×D12—21no—
177C4×D12—21no—
178C4×D12C2312yes—
179C4×D12C2312yes—
180#870D412yes—
181#870C2312yes—
182#869D411yescharacteristic
183#869D411yescharacteristic
184#869C2311yescharacteristic
185#869C2311yescharacteristic
186C4×Dic6—21no—
187C4×Dic6—21no—
188C4×Dic6C2312yes—
189C4×Dic6C2312yes—
190C3×C4⋊C8C2312yes—
191C3×C4⋊C8C2312yes—
192C3×#103C2314yes—
193C3×#102C2314yes—
194#835C2312yes—
195#835C2312yes—
196#835C2312yes—
197#835C2312yes—
198#832C2312yes—
199#832C2314yes—
200#832C2312yes—
201#832C2312yes—
202#832C2312yes—
203#821C2314yes—
204#821C2314yes—
205#818C2314yes—
206#817C2314yes—
207#815C2314yes—
208Dic3⋊C8C2314yes—
209Dic3⋊C8C2314yes—
210C8×Dic3C2314yes—
211#809C2314yes—
212#808C2314yes—
213#803C2312yes—
214#803C2312yes—
215C2×AGL(1,ℤ/8)C2×D312yes—
216C22×D8—31no—
217#559—34no—
218#556—32no—
219#555—61no—
220#554—34no—
221#554—32no—
222#554—62no—
223#554—61no—
224#553—62no—
225#550—32no—
226D4×Q8—32no—
227D4×Q8—61no—
228#547—61no—
229#544—32no—
230#543—62no—
231#538—62no—
232#535—32no—
233#533—31no—
234#533—31no—
235#532C2×D311yescharacteristic
236#525—62no—
237C2×C22⋊Q8—62no—
238#520—32no—
239#518—32no—
240C2×C4×D4—31no—
241C2×C4×D4C2×D311yescharacteristic
242#491—32no—
243#490—32no—
244#490—34no—
245#489—32no—
246#489—32no—
247#489—34no—
248#488—34no—
249#486—34no—
250#479—34no—
251#478—34no—
252#478—34no—
253#476—32no—
254#476—34no—
255#475—34no—
256#474—32no—
257#463—34no—
258#463—34no—
259#463C2×D314yescomplemented
260#461C2×D312yescomplemented
261#459—34no—
262#459—34no—
263#459C2×D312yescomplemented
264#446—34no—
265#446—34no—
266#442—34no—
267#442—34no—
268#442—34no—
269#440—34no—
270C4×SD16—34no—
271C4×D8—34no—
272#428—32no—
273C2×#106—31no—
274#424—32no—
275#423C2×D311yescharacteristic
276#418—32no—
277#417C2×D312yes—
278#416—32no—
279#416—32no—
280C2×#102—31no—
281C2×#102—31no—
282#405—32no—
283C2×#97—31no—
284C24×C3—21no—
285C23×D3—21no—
286C3×#41—24no—
287C3×#41—24no—
288C2×C3×Q8C2412yes—
289C2×C3×D4—22no—
290C2×C3×D4—21no—
291C2×C3×D4—21no—
292C2×C3×D4—21no—
293C2×C3×D4—22no—
294C2×C3×D4#4114yescomplemented
295C2×C3×D4C2412yes—
296C2×C3×D4C2412yes—
297C22×C3×C4—21no—
298C22×C3×C4—22no—
299C22×C3×C4—22no—
300C22×C3×C4—22no—
301C22×C3×C4—82no—
302C22×C3×C4C2×D411yescharacteristic
303C22×C3×C4C2×D411yescharacteristic
304C22×C3×C4C2411yescharacteristic
305C2×#67—24no—
306C2×#67—24no—
307C22×Dic3—21no—
308C22×Dic3—24no—
309C22×Dic3—24no—
310C22×Dic3—24no—
311#237—84no—
312C2×D12—22no—
313C2×D12—22no—
314C2×D12—21no—
315C2×D12C2412yes—
316C2×C4×D3—22no—
317C2×C4×D3—22no—
318C2×C4×D3—82no—
319C2×Dic6—21no—
320C2×Dic6—21no—
321C2×Dic6—24no—
322C2×Dic6—84no—
323C2×Dic6C2×D412yes—
324C2×Dic6C2×D412yes—
325C3×SD16—28no—
326C3×D8—28no—
327C3×M16—24no—
328C2×C3×C8C2414yes—
329C3×C4⋊C4—21no—
330C3×C4⋊C4—21no—
331C3×C4⋊C4—21no—
332C3×C4⋊C4C2412yes—
333C3×C22⋊C4—22no—
334C3×C22⋊C4—22no—
335C3×C22⋊C4—22no—
336C3×C22⋊C4—22no—
337C3×C42C2×D411yescharacteristic
338C3×C42C2×D411yescharacteristic
339C3×C42C2411yescharacteristic
340C3×C42C2411yescharacteristic
341#217—22no—
342#217—24no—
343#217—24no—
344#217—24no—
345#217C2×D414yes—
346#213—28no—
347(C2×D3)⋊C4—22no—
348(C2×D3)⋊C4—22no—
349(C2×D3)⋊C4—24no—
350(C2×D3)⋊C4—24no—
351C4⋊Dic3—21no—
352C4⋊Dic3—21no—
353C4⋊Dic3—21no—
354C4⋊Dic3—24no—
355C4⋊Dic3—24no—
356C4⋊Dic3C2×D412yes—
357C4⋊Dic3C2×D412yes—
358C4⋊Dic3C2×D412yes—
359C4⋊Dic3C2×D412yes—
360C4⋊Dic3C2412yes—
361C4⋊Dic3C2412yes—
362C4⋊Dic3C2412yes—
363Dic3⋊C4—22no—
364Dic3⋊C4—22no—
365Dic3⋊C4—24no—
366Dic3⋊C4—24no—
367Dic3⋊C4C2×D414yes—
368Dic3⋊C4C2×D414yes—
369C4×Dic3—22no—
370C4×Dic3—24no—
371C4×Dic3C2414yes—
372C2×C3⋊C8—22no—
373C2×C3⋊C8—22no—
374C2×C3⋊C8C2412yes—
375C2×C3⋊C8C2412yes—
376C2×#41—62no—
377C2×#41C22×D312yes—
378C22×Q8—62no—
379C22×D4—31no—
380C22×D4C22×D311yescharacteristic
381C23×C4—21no—
382C23×C4—61no—
383AGL(1,ℤ/8)—28no—
384C2×SD16C22×D314yes—
385C2×D8—34no—
386C2×D8—64no—
387C2×D8C22×D314yes—
388C2×M16C22×D312yes—
389C22×C8—31no—
390C22×C8—31no—
391C4⋊Q8—34no—
392C4⋊Q8—31no—
393C4⋊Q8—31no—
394C4⋊Q8—31no—
395C4⋊Q8—31no—
396C4⋊Q8—62no—
397C4⋊Q8C22×D311yescharacteristic
398#127—34no—
399#127C22×D311yescharacteristic
400#126—64no—
401#125—34no—
402#125—32no—
403#125—32no—
404#125—62no—
405#124—34no—
406#124—64no—
407#124C22×D312yes—
408#123—64no—
409#123—64no—
410C22⋊Q8—32no—
411C22⋊Q8—32no—
412C22⋊Q8—64no—
413C22⋊Q8—64no—
414C22⋊Q8—64no—
415C22⋊Q8—64no—
416C22⋊Q8—64no—
417C22⋊Q8—62no—
418C22⋊Q8—62no—
419C22⋊Q8—64no—
420C22⋊Q8—62no—
421C22⋊Q8—61no—
422C22⋊Q8—61no—
423#121—21no—
424#121—21no—
425#121—62no—
426#121—62no—
427#121—62no—
428#121—64no—
429#120—64no—
430C4×Q8—32no—
431C4×Q8—32no—
432C4×Q8—34no—
433C4×Q8—61no—
434C4×Q8—61no—
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4—34no—
440C4×D4—34no—
441C4×D4—34no—
442C4×D4—32no—
443C4×D4—32no—
444C4×D4—64no—
445C4×D4—64no—
446C4×D4—62no—
447C4×D4—62no—
448C4×D4—61no—
449C4×D4—61no—
450C4×D4C22×D312yes—
451C4×D4C22×D312yes—
452#117—32no—
453#117—32no—
454#117—62no—
455#117—62no—
456C2×C4⋊C4—31no—
457C2×C4⋊C4—62no—
458C2×C4⋊C4—64no—
459C2×C4⋊C4—62no—
460C2×C4⋊C4C22×D311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—64no—
463C2×C22⋊C4—61no—
464C2×C42C22×D311yescharacteristic
465#107—34no—
466#106—34no—
467#106—34no—
468C4⋊C8—34no—
469C4⋊C8—34no—
470C4⋊C8C22×D312yes—
471C4⋊C8C22×D312yes—
472#103—32no—
473#103—32no—
474#103—32no—
475#103—32no—
476#103C22×D314yes—
477#102—34no—
478#102—32no—
479#102—32no—
480#102—32no—
481#102—32no—
482#102—34no—
483#102—34no—
484#102—34no—
485#102C22×D314yes—
486#97—34no—
487#97—32no—
488#97—32no—
489C4×C8—34no—
490C23×C3—22no—
491C23×C3—24no—
492C23×C3—22no—
493C23×C3—81no—
494C23×C3—81no—
495C23×C3C22×D411yescharacteristic
496C22×D3—22no—
497C22×D3—42no—
498C22×D3—81no—
499C22×D3—81no—
500C3×Q8—22no—
501C3×Q8—22no—
502C3×D4—24no—
503C3×D4—22no—
504C3×D4—22no—
505C3×D4—22no—
506C3×D4—42no—
507C3×D4—44no—
508C3×D4—81no—
509C3×D4C2×#4114yes—
510C2×C3×C4—22no—
511C2×C3×C4—22no—
512C2×C3×C4—41no—
513C2×C3×C4—41no—
514C2×C3×C4—44no—
515C2×C3×C4—44no—
516C2×C3×C4—82no—
517C2×C3×C4—81no—
518C2×C3×C4C22×D411yescharacteristic
519C2×C3×C4C22×D411yescharacteristic
520C2×C3×C4C22×D411yescharacteristic
521C2×C3×C4C22×D411yescharacteristic
522C2×C3×C4C22×D411yescharacteristic
523C2×C3×C4C2×#4112yes—
524C2×C3×C42−1+412yes—
525C2×C3×C4C2511yescharacteristic
526#67—84no—
527#67—84no—
528C2×Dic3—22no—
529C2×Dic3—22no—
530C2×Dic3—22no—
531C2×Dic3—84no—
532C2×Dic3—84no—
533C2×Dic3—84no—
534C2×Dic3—81no—
535C2×Dic3C22×D414yes—
536C2×Dic3C22×D414yes—
537D12—22no—
538D12—22no—
539D12—42no—
540C4×D3—44no—
541C4×D3—82no—
542Dic6—42no—
543Dic6—42no—
544Dic6—42no—
545Dic6—84no—
546Dic6—81no—
547C3×C8—24no—
548C3⋊C8—22no—
549C3⋊C8—22no—
550C24—21no—
551C24—61no—
552#41—24no—
553#41—24no—
554#41—244no—
555C2×Q8—32no—
556C2×Q8—32no—
557C2×Q8—64no—
558C2×Q8—61no—
559C2×Q8—61no—
560C2×Q8—244no—
561C2×Q8C23×D312yes—
562C2×D4—22no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—22no—
567C2×D4—32no—
568C2×D4—64no—
569C2×D4—64no—
570C2×D4—61no—
571C2×D4—62no—
572C2×D4—62no—
573C2×D4#23714yescomplemented
574C2×D4C23×D312yes—
575C2×D4C23×D312yes—
576C22×C4—21no—
577C22×C4—22no—
578C22×C4—22no—
579C22×C4—22no—
580C22×C4—64no—
581C22×C4—64no—
582C22×C4—64no—
583C22×C4—61no—
584C22×C4—62no—
585C22×C4—62no—
586C22×C4—82no—
587C22×C4—242no—
588C22×C4D3×D411yescharacteristic
589C22×C4D3×D411yescharacteristic
590C22×C4C23×D311yescharacteristic
591SD16—28no—
592D8—28no—
593D8—68no—
594M16—24no—
595C2×C8—32no—
596C2×C8—32no—
597C2×C8—62no—
598C2×C8—62no—
599C2×C8C23×D314yes—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—32no—
604C4⋊C4—34no—
605C4⋊C4—32no—
606C4⋊C4—32no—
607C4⋊C4—32no—
608C4⋊C4—34no—
609C4⋊C4—32no—
610C4⋊C4—32no—
611C4⋊C4—32no—
612C4⋊C4—64no—
613C4⋊C4—64no—
614C4⋊C4—64no—
615C4⋊C4—64no—
616C4⋊C4—61no—
617C4⋊C4—62no—
618C4⋊C4—61no—
619C4⋊C4—62no—
620C4⋊C4—61no—
621C4⋊C4C23×D312yes—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—22no—
626C22⋊C4—34no—
627C22⋊C4—64no—
628C22⋊C4—64no—
629C22⋊C4—64no—
630C22⋊C4—64no—
631C22⋊C4—64no—
632C22⋊C4—62no—
633C22⋊C4—62no—
634C22⋊C4—62no—
635C42—34no—
636C42—64no—
637C42—62no—
638C42D3×D411yescharacteristic
639C42D3×D411yescharacteristic
640C42C23×D311yescharacteristic
641C42C23×D311yescharacteristic
642C22×C3—21no—
643C22×C3—21no—
644C22×C3—24no—
645C22×C3—42no—
646C22×C3—42no—
647C22×C3—42no—
648C22×C3—42no—
649C22×C3—42no—
650C22×C3—84no—
651C22×C3#54812yes—
652C22×C3C23×D411yescharacteristic
653C2×D3—42no—
654C2×D3—42no—
655C2×D3—42no—
656C2×D3—84no—
657C3×C4—21no—
658C3×C4—21no—
659C3×C4—21no—
660C3×C4—21no—
661C3×C4—42no—
662C3×C4—42no—
663C3×C4#54812yes—
664C3×C4C22×#4111yescharacteristic
665C3×C4C2×2−1+411yescharacteristic
666Dic3—24no—
667Dic3—24no—
668Dic3—42no—
669Dic3—42no—
670Dic3—42no—
671C23—22no—
672C23—24no—
673C23—22no—
674C23—62no—
675C23—81no—
676C23—81no—
677C23—122no—
678C23—241no—
679C23—241no—
680C23C2×D3×D411yescharacteristic
681Q8—22no—
682Q8—22no—
683Q8—122no—
684Q8—122no—
685Q8—122no—
686Q8—241no—
687Q8—244no—
688D4—22no—
689D4—22no—
690D4—22no—
691D4—24no—
692D4—42no—
693D4—44no—
694D4—62no—
695D4—62no—
696D4—81no—
697D4—122no—
698D4—244no—
699D4—244no—
700D4C2×#23714yes—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—34no—
704C2×C4—34no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—62no—
710C2×C4—62no—
711C2×C4—62no—
712C2×C4—82no—
713C2×C4—81no—
714C2×C4—124no—
715C2×C4—242no—
716C2×C4—244no—
717C2×C4—244no—
718C2×C4—244no—
719C2×C4—241no—
720C2×C4C2×D3×D411yescharacteristic
721C2×C4C2×D3×D411yescharacteristic
722C2×C4C2×D3×D411yescharacteristic
723C2×C4C2×D3×D411yescharacteristic
724C2×C4C2×D3×D411yescharacteristic
725C2×C4C2×#23712yes—
726C2×C4#101012yes—
727C2×C4C24×D311yescharacteristic
728C8—24no—
729C8—62no—
730C8—62no—
731C2×C3—22no—
732C2×C3—44no—
733C2×C3—82no—
734C2×C3C2×#54811yescharacteristic
735C2×C3#358511yescharacteristic
736C2×C3#358511yescharacteristic
737D3—82no—
738C22—21no—
739C22—21no—
740C22—24no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—84no—
747C22—122no—
748C22—122no—
749C22—122no—
750C22—244no—
751C22#559812yes—
752C22C22×D3×D411yescharacteristic
753C4—21no—
754C4—21no—
755C4—21no—
756C4—21no—
757C4—42no—
758C4—42no—
759C4—64no—
760C4—64no—
761C4—122no—
762C4—122no—
763C4—122no—
764C4#559812yes—
765C4C22×#23711yescharacteristic
766C4C2×#101011yescharacteristic
767C3#6133211yescharacteristic, complemented, Sylow
768C2—22no—
769C2—44no—
770C2—82no—
771C2—242no—
772C2C2×#559811yescharacteristic
773C2#8719211yescharacteristic
774C2#8720011yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3036C2
socleC22×C3C23×D4
hypercenter#3036D3
hypocenterC3#61332
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3036

Complements

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

NH ≅ G/Ntype
1. #86223C2semidirect
2. #85766C2semidirect
3. C3×#3036C2semidirect
4. #83934C2semidirect
5. #83930C2semidirect
6. #83282C2semidirect
7. C2×#5014C2semidirect
8. #80521C2semidirect
9. #80520C2semidirect
10. #80419C2semidirect
11. #80321C2semidirect
12. #79059C2semidirect
13. #79045C2semidirect
14. #78876C2semidirect
15. #78873C2semidirect
25. #5732C22semidirect
26. #5718C22semidirect
27. #5681C22semidirect
34. #5543C22semidirect
36. #5539C22semidirect
38. D4×Dic6C22semidirect
44. C3×#463C22semidirect
45. C3×#461C22semidirect
46. C3×#459C22semidirect
54. #5164C22semidirect
55. Dic3×SD16C22semidirect
56. #5152C22semidirect
59. Dic3×D8C22semidirect
64. #5082C22semidirect
65. #5071C22semidirect
66. #5055C22semidirect
67. #5055C22semidirect
73. #4847C22semidirect
74. #4846C22semidirect
75. #4842C22semidirect
76. #4828C22semidirect
77. #4828C22semidirect
78. #4800C22semidirect
79. #4796C22semidirect
80. #4794C22semidirect
81. #4791C22semidirect
82. #4766C22semidirect
83. #4764C22semidirect
84. #4761C22semidirect
85. #4760C22semidirect
97. #3036D3semidirect
259. #463C2×D3semidirect
260. #461C2×D3semidirect
263. #459C2×D3semidirect
294. C2×C3×D4#41semidirect
573. C2×D4#237semidirect
767. C3#61332semidirect

Maximal subgroups

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

subgroupindex
#862232
#857662
C3×#30362
#839342
#839302
#832822
C2×#50142
#805212
#805202
#804192
#803212
#790592
#790452
#788762
#788732
#613323