Finite Group Databasebeta

← #11675264

Subgroups — #11675264

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#86280C211yesmaximal, characteristic, complemented
2#85788C211yesmaximal, characteristic, complemented
3C3×#3077C211yesmaximal, characteristic, complemented
4#83335C211yesmaximal, characteristic, complemented
5C2×#5014C211yesmaximal, characteristic, complemented
6#81154C214yesmaximal, complemented
7#81152C214yesmaximal, complemented
8#81052C214yesmaximal, complemented
9#80955C214yesmaximal, complemented
10#79244C212yesmaximal, complemented
11#79201C212yesmaximal, complemented
12#79055C211yesmaximal, characteristic, complemented
13#79045C211yesmaximal, characteristic, complemented
14#78944C212yesmaximal, complemented
15#78920C212yesmaximal, complemented
16#61332—31nomaximal, Sylow
17C3×#533C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19#5805C2212yes—
20C22×#213C2211yescharacteristic
21#5791—22no—
22C2×#908C2212yes—
23#5730C2212yescomplemented
24#5727C2212yescomplemented
25#5690C2214yescomplemented
26#5634—22no—
27D3×C22⋊Q8—22no—
28#5579—22no—
29#5579—21no—
30Q8×D12—21no—
31#5563—21no—
32#5559C2214yescomplemented
33#5558—22no—
34#5553C2212yescomplemented
35#5551—21no—
36#5542C2212yescomplemented
37#5521C2212yes—
38#5519C2212yes—
39#5504C2212yes—
40#5494—22no—
41#5477C2211yescharacteristic
42C2×C4×D12C2211yescharacteristic
43#5470C2211yescharacteristic
44C3×#478C2214yescomplemented
45C3×#476C2212yescomplemented
46C3×#474C2212yescomplemented
47C3×#428C2212yes—
48C3×#423C2211yescharacteristic
49C3×#418C2212yes—
50C2×#832C2211yescharacteristic
51#5133C2212yes—
52#5122C2212yes—
53#5119C2212yes—
54#5089C2212yescomplemented
55#5089C2212yescomplemented
56#5069C2212yescomplemented
57#5067C2212yescomplemented
58#5014C2214yes—
59#5014C2214yes—
60#5002C2212yes—
61#5002C2212yes—
62C2×#809C2211yescharacteristic
63C2×#808C2211yescharacteristic
64C2×#803C2211yescharacteristic
65#4891C2214yescomplemented
66#4889C2214yescomplemented
67#4877C2214yescomplemented
68#4872C2214yescomplemented
69#4870C2214yescomplemented
70#4869C2214yescomplemented
71#4854C2214yescomplemented
72#4852C2214yescomplemented
73#4844C2214yescomplemented
74#4843C2212yescomplemented
75#4841C2212yescomplemented
76#4828C2214yescomplemented
77#4828C2214yescomplemented
78#4787C2214yes—
79#4787C2214yes—
80#4786C2214yes—
81#4786C2214yes—
82#4768C2214yescomplemented
83#4765C2214yescomplemented
84#4764C2214yescomplemented
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#3077D311yescharacteristic, complemented
96#3041—32no—
97#3036—31no—
98#2961—31no—
99#2946—32no—
100C2×#442—31no—
101C22×C3×D4C2311yescharacteristic
102C23×C3×C4—21no—
103C2×D3×Q8—22no—
104C2×#235—22no—
105C2×#235C2312yes—
106C22×D12C2311yescharacteristic
107C22×C4×D3—21no—
108C2×C3×M16C2312yes—
109C3×C4⋊Q8C2311yescharacteristic
110C3×C4⋊Q8C2311yescharacteristic
111C3×#125C2312yes—
112C3×C22⋊Q8—21no—
113C3×C22⋊Q8—21no—
114C3×C4×Q8—21no—
115C3×C4×Q8—21no—
116C3×C4×D4—21no—
117C3×C4×D4—21no—
118C3×C4×D4C2312yes—
119C3×C4×D4C2312yes—
120C3×#117C2312yes—
121C2×C3×C4⋊C4C2311yescharacteristic
122C2×C3×C22⋊C4—21no—
123C2×C3×C42C2311yescharacteristic
124#953—24no—
125#946—22no—
126#946—24no—
127#940C2314yes—
128#938—22no—
129#938—22no—
130#936C2314yes—
131C2×#213—24no—
132C2×#213C2314yes—
133#930—21no—
134#930—21no—
135#930—22no—
136#929—24no—
137C4×#67—24no—
138C4×#67—24no—
139C2×(C2×D3)⋊C4—21no—
140#926—22no—
141#926C2312yes—
142C2×C4⋊Dic3C2311yescharacteristic
143#924—22no—
144#924D412yes—
145#924D412yes—
146C22×C3⋊C8C2311yescharacteristic
147C22×C3⋊C8C2311yescharacteristic
148#908—28no—
149C2×D24C2314yes—
150C2×#204C2314yes—
151#897—22no—
152#897—24no—
153#896—24no—
154#896—24no—
155#896—24no—
156#893C2314yes—
157#893C2314yes—
158#893C2314yes—
159#892—22no—
160D3×C4⋊C4—22no—
161D3×C4⋊C4—22no—
162D3×C4⋊C4—24no—
163#890C2314yes—
164#888C2314yes—
165#887C2314yes—
166#885—24no—
167#884—24no—
168#883—24no—
169D3×C22⋊C4—24no—
170#879—24no—
171#878—24no—
172#875C2312yes—
173#874C2311yescharacteristic
174C4×D12—21no—
175C4×D12—21no—
176C4×D12—21no—
177C4×D12—21no—
178C4×D12—22no—
179C4×D12—22no—
180C4×D12C2312yes—
181C4×D12C2312yes—
182#870—22no—
183#870D412yes—
184#869—22no—
185#869D411yescharacteristic
186#869D411yescharacteristic
187#869C2311yescharacteristic
188C4×Dic6C2312yes—
189C4×Dic6C2312yes—
190C3×#107C2314yes—
191C3×#106C2314yes—
192C3×C4⋊C8C2312yes—
193C3×C4⋊C8C2312yes—
194C3×#102C2314yes—
195C3×#102C2314yes—
196#832C2314yes—
197#821C2314yes—
198#816C2314yes—
199#815C2314yes—
200Dic3⋊C8C2314yes—
201Dic3⋊C8C2314yes—
202C8×Dic3C2314yes—
203#810C2312yes—
204#810C2312yes—
205#810C2312yes—
206#810C2312yes—
207#809C2312yes—
208#809C2314yes—
209#809C2312yes—
210#809C2312yes—
211#809C2312yes—
212#808C2314yes—
213#803C2312yes—
214#803C2312yes—
215C2×AGL(1,ℤ/8)—32no—
216C22×D8—31no—
217#559—34no—
218#556—32no—
219#555—61no—
220#554—32no—
221#554—34no—
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#533C2×D311yescharacteristic
235#532—31no—
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#478C2×D314yescomplemented
253#476—34no—
254#476C2×D312yescomplemented
255#475—34no—
256#474C2×D312yescomplemented
257#463—34no—
258#463—34no—
259#463—34no—
260#461—32no—
261#459—32no—
262#459—34no—
263#459—34no—
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#428C2×D312yes—
273C2×#106—31no—
274#424—32no—
275#423C2×D311yescharacteristic
276#418C2×D312yes—
277#417—32no—
278#416—32no—
279#416—32no—
280C2×#102—31no—
281C2×#102—31no—
282#405—32no—
283C2×#97—31no—
284C24×C3—21no—
285C23×D3—21no—
286C2×C3×Q8—21no—
287C2×C3×Q8—21no—
288C2×C3×D4—21no—
289C2×C3×D4—22no—
290C2×C3×D4—22no—
291C2×C3×D4C2412yes—
292C22×C3×C4—21no—
293C22×C3×C4—22no—
294C22×C3×C4—22no—
295C22×C3×C4—82no—
296C22×C3×C4C2×D411yescharacteristic
297C22×C3×C4C2×D411yescharacteristic
298C22×C3×C4C2411yescharacteristic
299C2×#67—22no—
300C2×#67—24no—
301C2×#67—24no—
302C22×Dic3—21no—
303D3×Q8—84no—
304#235—24no—
305#235—24no—
306#235—84no—
307C2×D12—21no—
308C2×D12—22no—
309C2×D12—21no—
310C2×D12—21no—
311C2×D12#4114yescomplemented
312C2×D12C2412yes—
313C2×D12C2412yes—
314C2×C4×D3—22no—
315C2×C4×D3—22no—
316C2×C4×D3—22no—
317C2×C4×D3—24no—
318C2×C4×D3—24no—
319C2×C4×D3—24no—
320C2×C4×D3—82no—
321C2×Dic6—24no—
322C2×Dic6C2×D412yes—
323C2×Dic6C2×D412yes—
324C2×Dic6C2412yes—
325C3×M16—24no—
326C2×C3×C8C2414yes—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—22no—
329C3×C4⋊C4—21no—
330C3×C4⋊C4—21no—
331C3×C4⋊C4—22no—
332C3×C4⋊C4C2412yes—
333C3×C4⋊C4C2412yes—
334C3×C4⋊C4C2412yes—
335C3×C22⋊C4—22no—
336C3×C22⋊C4—22no—
337C3×C22⋊C4—22no—
338C3×C42—22no—
339C3×C42C2×D411yescharacteristic
340C3×C42C2×D411yescharacteristic
341C3×C42C2411yescharacteristic
342C3×C42C2411yescharacteristic
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—22no—
350(C2×D3)⋊C4—22no—
351(C2×D3)⋊C4—24no—
352(C2×D3)⋊C4—24no—
353(C2×D3)⋊C4—24no—
354C4⋊Dic3—21no—
355C4⋊Dic3—21no—
356C4⋊Dic3—21no—
357C4⋊Dic3—24no—
358C4⋊Dic3C2×D412yes—
359C4⋊Dic3C2×D412yes—
360C4⋊Dic3C2×D412yes—
361C4⋊Dic3C2×D412yes—
362C4⋊Dic3C2412yes—
363Dic3⋊C4—24no—
364Dic3⋊C4—24no—
365Dic3⋊C4—24no—
366Dic3⋊C4C2×D414yes—
367Dic3⋊C4C2×D414yes—
368C4×Dic3—24no—
369C4×Dic3C2414yes—
370C2×C3⋊C8—22no—
371C2×C3⋊C8—22no—
372C2×C3⋊C8C2412yes—
373C2×C3⋊C8C2412yes—
374D24—28no—
375#204—28no—
376C2×#41—32no—
377C2×#41—62no—
378C22×Q8—62no—
379C22×D4—31no—
380C22×D4C22×D311yescharacteristic
381C23×C4—21no—
382C23×C4—61no—
383AGL(1,ℤ/8)—68no—
384C2×SD16—34no—
385C2×D8—34no—
386C2×D8—34no—
387C2×D8—64no—
388C2×M16C22×D312yes—
389C22×C8—31no—
390C22×C8—31no—
391C4⋊Q8—34no—
392C4⋊Q8—31no—
393C4⋊Q8—31no—
394C4⋊Q8—31no—
395C4⋊Q8—62no—
396C4⋊Q8C22×D311yescharacteristic
397C4⋊Q8C22×D311yescharacteristic
398#127—34no—
399#127—31no—
400#126—64no—
401#125—34no—
402#125—32no—
403#125—62no—
404#125C22×D312yes—
405#124—34no—
406#124—32no—
407#124—64no—
408#123—64no—
409#123—64no—
410C22⋊Q8—21no—
411C22⋊Q8—21no—
412C22⋊Q8—32no—
413C22⋊Q8—32no—
414C22⋊Q8—64no—
415C22⋊Q8—64no—
416C22⋊Q8—64no—
417C22⋊Q8—64no—
418C22⋊Q8—62no—
419C22⋊Q8—64no—
420C22⋊Q8—62no—
421C22⋊Q8—64no—
422C22⋊Q8—62no—
423#121—64no—
424#121—62no—
425#121—62no—
426#121—62no—
427#121—61no—
428#121—61no—
429#120—64no—
430C4×Q8—21no—
431C4×Q8—21no—
432C4×Q8—32no—
433C4×Q8—32no—
434C4×Q8—34no—
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—34no—
438C4×D4—34no—
439C4×D4—34no—
440C4×D4—32no—
441C4×D4—32no—
442C4×D4—62no—
443C4×D4—62no—
444C4×D4—64no—
445C4×D4—64no—
446C4×D4—61no—
447C4×D4—61no—
448C4×D4—61no—
449C4×D4—61no—
450C4×D4C22×D312yes—
451C4×D4C22×D312yes—
452#117—32no—
453#117—62no—
454#117—62no—
455#117C22×D312yes—
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#107C22×D314yes—
466#106—34no—
467#106C22×D314yes—
468C4⋊C8—34no—
469C4⋊C8—34no—
470C4⋊C8C22×D312yes—
471C4⋊C8C22×D312yes—
472#103—34no—
473#103—32no—
474#103—32no—
475#103—32no—
476#103—32no—
477#102—34no—
478#102—34no—
479#102—34no—
480#102—32no—
481#102—32no—
482#102—32no—
483#102—32no—
484#102C22×D314yes—
485#102C22×D314yes—
486#97—34no—
487#97—32no—
488#97—32no—
489C4×C8—34no—
490C23×C3—22no—
491C23×C3—42no—
492C23×C3—81no—
493C23×C3—81no—
494C23×C3C22×D411yescharacteristic
495C22×D3—22no—
496C22×D3—24no—
497C22×D3—22no—
498C22×D3—81no—
499C22×D3—81no—
500C3×Q8—42no—
501C3×Q8—81no—
502C3×D4—22no—
503C3×D4—22no—
504C3×D4—42no—
505C2×C3×C4—22no—
506C2×C3×C4—22no—
507C2×C3×C4—22no—
508C2×C3×C4—41no—
509C2×C3×C4—41no—
510C2×C3×C4—44no—
511C2×C3×C4—82no—
512C2×C3×C4—81no—
513C2×C3×C4C22×D411yescharacteristic
514C2×C3×C4C22×D411yescharacteristic
515C2×C3×C4C22×D411yescharacteristic
516C2×C3×C4C22×D411yescharacteristic
517C2×C3×C4C22×D411yescharacteristic
518C2×C3×C4C2×#4112yes—
519C2×C3×C42−1+412yes—
520C2×C3×C4C2511yescharacteristic
521#67—44no—
522#67—84no—
523#67—84no—
524C2×Dic3—22no—
525C2×Dic3—22no—
526C2×Dic3—81no—
527C2×Dic3C22×D414yes—
528C2×Dic3C22×D414yes—
529D12—24no—
530D12—22no—
531D12—22no—
532D12—22no—
533D12—42no—
534D12—81no—
535D12C2×#4114yes—
536C4×D3—44no—
537C4×D3—44no—
538C4×D3—84no—
539C4×D3—84no—
540C4×D3—84no—
541C4×D3—82no—
542Dic6—22no—
543Dic6—22no—
544Dic6—42no—
545Dic6—42no—
546Dic6—84no—
547C3×C8—24no—
548C3⋊C8—22no—
549C3⋊C8—22no—
550C24—21no—
551C24—61no—
552#41—64no—
553#41—64no—
554#41—244no—
555C2×Q8—21no—
556C2×Q8—21no—
557C2×Q8—32no—
558C2×Q8—32no—
559C2×Q8—32no—
560C2×Q8—64no—
561C2×Q8—244no—
562C2×D4—21no—
563C2×D4—22no—
564C2×D4—22no—
565C2×D4—34no—
566C2×D4—32no—
567C2×D4—32no—
568C2×D4—64no—
569C2×D4—64no—
570C2×D4—62no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—61no—
574C2×D4—62no—
575C2×D4C23×D312yes—
576C22×C4—21no—
577C22×C4—22no—
578C22×C4—22no—
579C22×C4—64no—
580C22×C4—64no—
581C22×C4—64no—
582C22×C4—61no—
583C22×C4—62no—
584C22×C4—62no—
585C22×C4—62no—
586C22×C4—82no—
587C22×C4—242no—
588C22×C4D3×D411yescharacteristic
589C22×C4D3×D411yescharacteristic
590C22×C4C23×D311yescharacteristic
591SD16—68no—
592D8—68no—
593D8—68no—
594M16—24no—
595C2×C8—32no—
596C2×C8—32no—
597C2×C8—62no—
598C2×C8—62no—
599C2×C8C23×D314yes—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—22no—
604C4⋊C4—21no—
605C4⋊C4—32no—
606C4⋊C4—34no—
607C4⋊C4—32no—
608C4⋊C4—32no—
609C4⋊C4—32no—
610C4⋊C4—34no—
611C4⋊C4—32no—
612C4⋊C4—64no—
613C4⋊C4—64no—
614C4⋊C4—64no—
615C4⋊C4—64no—
616C4⋊C4—61no—
617C4⋊C4—61no—
618C4⋊C4—61no—
619C4⋊C4C23×D312yes—
620C4⋊C4C23×D312yes—
621C4⋊C4C23×D312yes—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—34no—
626C22⋊C4—64no—
627C22⋊C4—64no—
628C22⋊C4—64no—
629C22⋊C4—64no—
630C22⋊C4—64no—
631C22⋊C4—62no—
632C22⋊C4—62no—
633C22⋊C4—62no—
634C22⋊C4—62no—
635C42—22no—
636C42—34no—
637C42—64no—
638C42D3×D411yescharacteristic
639C42D3×D411yescharacteristic
640C42C23×D311yescharacteristic
641C42C23×D311yescharacteristic
642C22×C3—21no—
643C22×C3—21no—
644C22×C3—42no—
645C22×C3—42no—
646C22×C3—42no—
647C22×C3—84no—
648C22×C3#54812yes—
649C22×C3C23×D411yescharacteristic
650C2×D3—24no—
651C2×D3—42no—
652C2×D3—42no—
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—42no—
664C3×C4#54812yes—
665C3×C4C22×#4111yescharacteristic
666C3×C4C2×2−1+411yescharacteristic
667Dic3—24no—
668Dic3—24no—
669Dic3—42no—
670Dic3—42no—
671C23—22no—
672C23—42no—
673C23—62no—
674C23—64no—
675C23—62no—
676C23—81no—
677C23—81no—
678C23—241no—
679C23—241no—
680C23C2×D3×D411yescharacteristic
681Q8—42no—
682Q8—62no—
683Q8—62no—
684Q8—81no—
685Q8—122no—
686Q8—122no—
687Q8—244no—
688D4—22no—
689D4—22no—
690D4—34no—
691D4—42no—
692D4—64no—
693D4—62no—
694D4—62no—
695D4—62no—
696D4—122no—
697D4—124no—
698D4—241no—
699D4—244no—
700D4—244no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—34no—
705C2×C4—34no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—44no—
709C2×C4—62no—
710C2×C4—62no—
711C2×C4—82no—
712C2×C4—81no—
713C2×C4—124no—
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×C4#100712yes—
726C2×C4D3×#4112yes—
727C2×C4C24×D311yescharacteristic
728C8—24no—
729C8—62no—
730C8—62no—
731C2×C3—22no—
732C2×C3—82no—
733C2×C3C2×#54811yescharacteristic
734C2×C3#358511yescharacteristic
735C2×C3#358511yescharacteristic
736D3—44no—
737D3—82no—
738C22—21no—
739C22—21no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—64no—
744C22—84no—
745C22—122no—
746C22—122no—
747C22—122no—
748C22—122no—
749C22—122no—
750C22—244no—
751C22#563312yes—
752C22C22×D3×D411yescharacteristic
753C4—21no—
754C4—21no—
755C4—21no—
756C4—21no—
757C4—42no—
758C4—42no—
759C4—42no—
760C4—64no—
761C4—64no—
762C4—122no—
763C4—122no—
764C4#563312yes—
765C4C2×#100711yescharacteristic
766C4C2×D3×#4111yescharacteristic
767C3#6133211yescharacteristic, complemented, Sylow
768C2—22no—
769C2—82no—
770C2—124no—
771C2—242no—
772C2C2×#563311yescharacteristic
773C2#8719211yescharacteristic
774C2#8720011yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3077C2
socleC22×C3C23×D4
hypercenter#3077D3
hypocenterC3#61332
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #86280C2semidirect
2. #85788C2semidirect
3. C3×#3077C2semidirect
4. #83335C2semidirect
5. C2×#5014C2semidirect
6. #81154C2semidirect
7. #81152C2semidirect
8. #81052C2semidirect
9. #80955C2semidirect
10. #79244C2semidirect
11. #79201C2semidirect
12. #79055C2semidirect
13. #79045C2semidirect
14. #78944C2semidirect
15. #78920C2semidirect
23. #5730C22semidirect
24. #5727C22semidirect
25. #5690C22semidirect
32. #5559C22semidirect
34. #5553C22semidirect
36. #5542C22semidirect
44. C3×#478C22semidirect
45. C3×#476C22semidirect
46. C3×#474C22semidirect
54. #5089C22semidirect
55. #5089C22semidirect
56. #5069C22semidirect
57. #5067C22semidirect
65. #4891C22semidirect
66. #4889C22semidirect
67. #4877C22semidirect
68. #4872C22semidirect
69. #4870C22semidirect
70. #4869C22semidirect
71. #4854C22semidirect
72. #4852C22semidirect
73. #4844C22semidirect
74. #4843C22semidirect
75. #4841C22semidirect
76. #4828C22semidirect
77. #4828C22semidirect
82. #4768C22semidirect
83. #4765C22semidirect
84. #4764C22semidirect
85. #4760C22semidirect
95. #3077D3semidirect
252. #478C2×D3semidirect
254. #476C2×D3semidirect
256. #474C2×D3semidirect
311. C2×D12#41semidirect
767. C3#61332semidirect

Maximal subgroups

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

subgroupindex
#862802
#857882
C3×#30772
#833352
C2×#50142
#811542
#811522
#810522
#809552
#792442
#792012
#790552
#790452
#789442
#789202
#613323