Finite Group Databasebeta

← #11675262

Subgroups — #11675262

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#85788C211yesmaximal, characteristic, complemented
2#85766C211yesmaximal, characteristic, complemented
3C2×C3×#442C211yesmaximal, characteristic, complemented
4#83826C212yesmaximal, complemented
5#82307C211yesmaximal, characteristic, complemented
6#82296C211yesmaximal, characteristic, complemented
7#79854C214yesmaximal, complemented
8#79853C214yesmaximal, complemented
9#79852C214yesmaximal, complemented
10#79851C214yesmaximal, complemented
11#79130C212yesmaximal, complemented
12#78737C212yesmaximal, complemented
13#78726C212yesmaximal, complemented
14#78497C211yesmaximal, characteristic, complemented
15#78480C211yesmaximal, characteristic, complemented
16#61332—31nomaximal, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20#5805C2212yes—
21#5798C2212yes—
22C2×#932C2212yes—
23#5791—22no—
24C2×#924—22no—
25#5563—21no—
26#5559C2214yescomplemented
27#5558—22no—
28#5553C2212yescomplemented
29#5551—21no—
30#5543—21no—
31#5543C2212yescomplemented
32#5542C2212yescomplemented
33#5539—22no—
34#5539C2214yescomplemented
35D4×Dic6—21no—
36D4×Dic6C2212yescomplemented
37#5504C2212yes—
38#5500C2212yes—
39#5494—22no—
40#5483—22no—
41#5477C2211yescharacteristic
42#5470C2211yescharacteristic
43#5470C2211yescharacteristic
44C3×#442C2214yes—
45C3×#442C2214yes—
46C2×C3×#106C2211yescharacteristic
47C2×C3×#102C2211yescharacteristic
48C2×C3×#102C2211yescharacteristic
49C2×C3×#97C2211yescharacteristic
50#5215C2212yes—
51#5153C2214yes—
52#5153C2214yes—
53#5150C2214yes—
54#5150C2214yes—
55#5113C2212yes—
56#5113C2212yes—
57#5102C2212yes—
58#5101C2212yes—
59#5019C2212yescomplemented
60#5016C2214yescomplemented
61#5015C2212yescomplemented
62#5009C2214yescomplemented
63#5008C2212yescomplemented
64#5007C2212yescomplemented
65#4966C2212yes—
66#4964C2212yes—
67#4924C2211yescharacteristic
68#4871C2214yescomplemented
69#4870C2214yescomplemented
70#4857C2214yescomplemented
71#4854C2214yescomplemented
72#4785C2214yescomplemented
73#4768C2214yescomplemented
74#4765C2214yescomplemented
75#4764C2214yescomplemented
76#4760C2214yescomplemented
77#4758C2214yescomplemented
78#4757C2214yescomplemented
79#4756C2214yescomplemented
80#4714C2212yescomplemented
81#4714C2212yescomplemented
82#4713C2212yescomplemented
83#4703C2212yescomplemented
84#4701C2214yescomplemented
85#4701C2214yescomplemented
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#3036—31no—
98#2961—31no—
99#2946—32no—
100C2×#442D311yescharacteristic, complemented
101C22×C3×D4C2311yescharacteristic
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4—21no—
104C23×C3×C4—21no—
105C2×#235—22no—
106C2×#235C2312yes—
107C22×Dic6—22no—
108C2×C3×D8—24no—
109C2×C3×D8C2314yes—
110C22×C3×C8C2311yescharacteristic
111C22×C3×C8C2311yescharacteristic
112C3×C4×D4—21no—
113C3×C4×D4—21no—
114C3×C4×D4—21no—
115C3×C4×D4—21no—
116C3×C4×D4C2312yes—
117C3×C4×D4C2312yes—
118C3×C4×D4C2312yes—
119C3×C4×D4C2312yes—
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C4⋊C4C2311yescharacteristic
122C2×C3×C22⋊C4—21no—
123C2×C3×C22⋊C4—21no—
124C2×C3×C42C2311yescharacteristic
125#953—24no—
126C2×#217—24no—
127#940C2314yes—
128#938—22no—
129#938—22no—
130#936C2314yes—
131D4×Dic3—22no—
132D4×Dic3—22no—
133D4×Dic3C2314yes—
134D4×Dic3C2314yes—
135C2×#214C2314yes—
136#932—28no—
137C2×#213C2314yes—
138#930—21no—
139#930—21no—
140#930—22no—
141#929—24no—
142C4×#67—24no—
143C4×#67—24no—
144#926—22no—
145#926C2312yes—
146#926C2312yes—
147C2×C4⋊Dic3—22no—
148#924—21no—
149#924—21no—
150#924—22no—
151#924—22no—
152#924—24no—
153#924—22no—
154#924—24no—
155#924D412yes—
156#924D412yes—
157C2×Dic3⋊C4—24no—
158C2×#208C2312yes—
159#893C2314yes—
160#892—22no—
161D3×C4⋊C4—22no—
162#890—22no—
163#890C2314yes—
164#888—22no—
165#888C2314yes—
166#887C2314yes—
167#885—24no—
168#884—24no—
169#883—24no—
170#879—24no—
171#878—24no—
172#878—24no—
173#878—24no—
174#878—24no—
175#875C2312yes—
176#874C2311yescharacteristic
177C4×D12—21no—
178C4×D12—21no—
179#870D412yes—
180#870C2312yes—
181#869D411yescharacteristic
182#869D411yescharacteristic
183#869C2311yescharacteristic
184#869C2311yescharacteristic
185#869C2311yescharacteristic
186C4×Dic6—21no—
187C4×Dic6—21no—
188C4×Dic6C2312yes—
189C4×Dic6C2312yes—
190C3×#106C2314yes—
191C3×#102C2314yes—
192C3×#102C2314yes—
193C3×#97C2312yes—
194C3×#97C2312yes—
195#832C2314yes—
196#832C2314yes—
197#821C2312yes—
198#821C2312yes—
199#821C2312yes—
200#821C2312yes—
201#816C2312yes—
202#816C2312yes—
203#816C2312yes—
204#816C2312yes—
205#815C2314yes—
206Dic3⋊C8C2314yes—
207Dic3⋊C8C2314yes—
208C8×Dic3C2314yes—
209#810C2314yes—
210#809C2314yes—
211#808C2314yes—
212#807C2314yes—
213C4⋊(C3⋊C8)C2312yes—
214C4⋊(C3⋊C8)C2312yes—
215C2×AGL(1,ℤ/8)—32no—
216C22×D8C2×D311yescharacteristic
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#532—31no—
236#525—62no—
237C2×C22⋊Q8—62no—
238#520—32no—
239#518—32no—
240C2×C4×D4C2×D311yescharacteristic
241C2×C4×D4C2×D311yescharacteristic
242#491—32no—
243#490—34no—
244#490—32no—
245#489—34no—
246#489—32no—
247#489—32no—
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#463—34no—
260#461—32no—
261#459—34no—
262#459—34no—
263#459—32no—
264#446—34no—
265#446—34no—
266#442—34no—
267#442C2×D314yes—
268#442C2×D314yes—
269#440—34no—
270C4×SD16—34no—
271C4×D8—34no—
272#428—32no—
273C2×#106C2×D311yescharacteristic
274#424—32no—
275#423—31no—
276#418—32no—
277#417—32no—
278#416—32no—
279#416—32no—
280C2×#102C2×D311yescharacteristic
281C2×#102C2×D311yescharacteristic
282#405—32no—
283C2×#97C2×D311yescharacteristic
284C24×C3—21no—
285C24×C3—21no—
286C2×C3×D4—21no—
287C2×C3×D4—21no—
288C2×C3×D4—22no—
289C2×C3×D4—22no—
290C2×C3×D4—22no—
291C2×C3×D4#4114yescomplemented
292C2×C3×D4C2412yes—
293C2×C3×D4C2412yes—
294C22×C3×C4—21no—
295C22×C3×C4—21no—
296C22×C3×C4—22no—
297C22×C3×C4—22no—
298C22×C3×C4—22no—
299C22×C3×C4—22no—
300C22×C3×C4—82no—
301C22×C3×C4—82no—
302C22×C3×C4C2×D411yescharacteristic
303C22×C3×C4C2×D411yescharacteristic
304C22×C3×C4C2411yescharacteristic
305C2×#67—22no—
306C2×#67—24no—
307C2×#67—24no—
308C22×Dic3—24no—
309C22×Dic3—24no—
310#235—24no—
311#235—24no—
312#235—84no—
313C2×D12—21no—
314C2×D12—21no—
315C2×D12C2412yes—
316C2×C4×D3—22no—
317C2×C4×D3—24no—
318C2×Dic6—21no—
319C2×Dic6—21no—
320C2×Dic6—24no—
321C2×Dic6—84no—
322C2×Dic6C2×D412yes—
323C2×Dic6C2×D412yes—
324C2×Dic6C2412yes—
325C3×D8—28no—
326C2×C3×C8—22no—
327C2×C3×C8—22no—
328C2×C3×C8C2412yes—
329C2×C3×C8C2412yes—
330C3×C4⋊C4—21no—
331C3×C4⋊C4—21no—
332C3×C4⋊C4C2412yes—
333C3×C4⋊C4C2412yes—
334C3×C22⋊C4—22no—
335C3×C22⋊C4—22no—
336C3×C22⋊C4—22no—
337C3×C22⋊C4—22no—
338C3×C42C2×D411yescharacteristic
339C3×C42C2×D411yescharacteristic
340C3×C42C2411yescharacteristic
341C3×C42C2411yescharacteristic
342#217—22no—
343#217—24no—
344#217—24no—
345#217—24no—
346#217—24no—
347#217C2×D414yes—
348#214—28no—
349#213—28no—
350(C2×D3)⋊C4—22no—
351(C2×D3)⋊C4—22no—
352(C2×D3)⋊C4—24no—
353C4⋊Dic3—21no—
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—
363C4⋊Dic3C2412yes—
364Dic3⋊C4—22no—
365Dic3⋊C4—22no—
366Dic3⋊C4—24no—
367Dic3⋊C4—24no—
368Dic3⋊C4—24no—
369Dic3⋊C4C2×D414yes—
370Dic3⋊C4C2×D414yes—
371C4×Dic3—22no—
372C4×Dic3—24no—
373C4×Dic3C2414yes—
374#208—24no—
375C2×C3⋊C8C2414yes—
376C2×#41—32no—
377C2×#41—62no—
378C22×Q8—62no—
379C22×D4C22×D311yescharacteristic
380C22×D4C22×D311yescharacteristic
381C23×C4—21no—
382C23×C4—21no—
383AGL(1,ℤ/8)—68no—
384C2×SD16—34no—
385C2×D8—24no—
386C2×D8—34no—
387C2×D8C22×D314yes—
388C2×M16—32no—
389C22×C8C22×D311yescharacteristic
390C22×C8C22×D311yescharacteristic
391C4⋊Q8—34no—
392C4⋊Q8—31no—
393C4⋊Q8—31no—
394C4⋊Q8—31no—
395C4⋊Q8—31no—
396C4⋊Q8—31no—
397C4⋊Q8—62no—
398#127—34no—
399#127—31no—
400#126—64no—
401#125—34no—
402#125—32no—
403#125—32no—
404#125—62no—
405#124—34no—
406#124—32no—
407#124—64no—
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—64no—
419C22⋊Q8—62no—
420C22⋊Q8—62no—
421C22⋊Q8—61no—
422C22⋊Q8—61no—
423#121—64no—
424#121—62no—
425#121—62no—
426#121—62no—
427#121—61no—
428#121—61no—
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—64no—
443C4×D4—64no—
444C4×D4—62no—
445C4×D4—62no—
446C4×D4—61no—
447C4×D4—61no—
448C4×D4C22×D312yes—
449C4×D4C22×D312yes—
450C4×D4C22×D312yes—
451C4×D4C22×D312yes—
452#117—32no—
453#117—32no—
454#117—62no—
455#117—62no—
456C2×C4⋊C4—62no—
457C2×C4⋊C4—64no—
458C2×C4⋊C4—62no—
459C2×C4⋊C4C22×D311yescharacteristic
460C2×C4⋊C4C22×D311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—64no—
464C2×C42C22×D311yescharacteristic
465#107—34no—
466#106—34no—
467#106C22×D314yes—
468C4⋊C8—34no—
469C4⋊C8—34no—
470C4⋊C8—32no—
471C4⋊C8—32no—
472#103—32no—
473#103—32no—
474#103—32no—
475#103—32no—
476#103—34no—
477#102—34no—
478#102—34no—
479#102—32no—
480#102—32no—
481#102—32no—
482#102—32no—
483#102—34no—
484#102C22×D314yes—
485#102C22×D314yes—
486#97—34no—
487#97C22×D312yes—
488#97C22×D312yes—
489C4×C8—34no—
490C23×C3—22no—
491C23×C3—24no—
492C23×C3—22no—
493C23×C3—42no—
494C23×C3—81no—
495C23×C3—81no—
496C23×C3—81no—
497C23×C3—81no—
498C23×C3C22×D411yescharacteristic
499C22×D3—22no—
500C3×D4—24no—
501C3×D4—22no—
502C3×D4—22no—
503C3×D4—22no—
504C3×D4—42no—
505C3×D4C2×#4114yes—
506C2×C3×C4—22no—
507C2×C3×C4—22no—
508C2×C3×C4—41no—
509C2×C3×C4—41no—
510C2×C3×C4—44no—
511C2×C3×C4—44no—
512C2×C3×C4—82no—
513C2×C3×C4—82no—
514C2×C3×C4—81no—
515C2×C3×C4—81no—
516C2×C3×C4C22×D411yescharacteristic
517C2×C3×C4C22×D411yescharacteristic
518C2×C3×C4C22×D411yescharacteristic
519C2×C3×C4C22×D411yescharacteristic
520C2×C3×C4C22×D411yescharacteristic
521C2×C3×C4C2×#4112yes—
522C2×C3×C42−1+412yes—
523C2×C3×C4C2511yescharacteristic
524#67—44no—
525#67—84no—
526#67—84no—
527C2×Dic3—22no—
528C2×Dic3—22no—
529C2×Dic3—22no—
530C2×Dic3—84no—
531C2×Dic3—84no—
532C2×Dic3C22×D414yes—
533C2×Dic3C22×D414yes—
534D12—22no—
535D12—22no—
536D12—42no—
537D12—81no—
538C4×D3—44no—
539C4×D3—84no—
540Dic6—22no—
541Dic6—22no—
542Dic6—42no—
543Dic6—42no—
544Dic6—42no—
545Dic6—84no—
546Dic6—81no—
547C3×C8—22no—
548C3×C8—22no—
549C3⋊C8—24no—
550C24—21no—
551C24—21no—
552#41—64no—
553#41—64no—
554#41—244no—
555C2×Q8—32no—
556C2×Q8—32no—
557C2×Q8—32no—
558C2×Q8—64no—
559C2×Q8—61no—
560C2×Q8—61no—
561C2×Q8—244no—
562C2×D4—22no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—32no—
568C2×D4—64no—
569C2×D4—64no—
570C2×D4—62no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4#23514yescomplemented
574C2×D4C23×D312yes—
575C2×D4C23×D312yes—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—22no—
579C22×C4—22no—
580C22×C4—22no—
581C22×C4—22no—
582C22×C4—64no—
583C22×C4—64no—
584C22×C4—64no—
585C22×C4—62no—
586C22×C4—82no—
587C22×C4—82no—
588C22×C4D3×D411yescharacteristic
589C22×C4D3×D411yescharacteristic
590C22×C4C23×D311yescharacteristic
591SD16—68no—
592D8—28no—
593D8—68no—
594M16—64no—
595C2×C8—22no—
596C2×C8—22no—
597C2×C8—34no—
598C2×C8C23×D312yes—
599C2×C8C23×D312yes—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—32no—
603C4⋊C4—34no—
604C4⋊C4—32no—
605C4⋊C4—32no—
606C4⋊C4—32no—
607C4⋊C4—34no—
608C4⋊C4—32no—
609C4⋊C4—32no—
610C4⋊C4—64no—
611C4⋊C4—64no—
612C4⋊C4—64no—
613C4⋊C4—64no—
614C4⋊C4—62no—
615C4⋊C4—61no—
616C4⋊C4—61no—
617C4⋊C4—61no—
618C4⋊C4—62no—
619C4⋊C4—61no—
620C4⋊C4C23×D312yes—
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—84no—
652C22×C3#54812yes—
653C22×C3C23×D411yescharacteristic
654C2×D3—42no—
655C2×D3—42no—
656C2×D3—42no—
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—42no—
675C23—62no—
676C23—81no—
677C23—81no—
678C23—81no—
679C23—81no—
680C23C2×D3×D411yescharacteristic
681Q8—62no—
682Q8—62no—
683Q8—122no—
684Q8—122no—
685Q8—122no—
686Q8—241no—
687Q8—244no—
688D4—22no—
689D4—22no—
690D4—22no—
691D4—24no—
692D4—42no—
693D4—62no—
694D4—62no—
695D4—122no—
696D4—124no—
697D4—241no—
698D4—244no—
699D4—244no—
700D4C2×#23514yes—
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—82no—
714C2×C4—81no—
715C2×C4—81no—
716C2×C4—124no—
717C2×C4—244no—
718C2×C4—244no—
719C2×C4—244no—
720C2×C4C2×#23512yes—
721C2×C4C2×D3×D411yescharacteristic
722C2×C4C2×D3×D411yescharacteristic
723C2×C4C2×D3×D411yescharacteristic
724C2×C4C2×D3×D411yescharacteristic
725C2×C4C2×D3×D411yescharacteristic
726C2×C4#101012yes—
727C2×C4C24×D311yescharacteristic
728C8—22no—
729C8—22no—
730C8—64no—
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—84no—
748C22—122no—
749C22—122no—
750C22—122no—
751C22#555212yes—
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#555212yes—
765C4C22×#23511yescharacteristic
766C4C2×#101011yescharacteristic
767C3#6133211yescharacteristic, complemented, Sylow
768C2—22no—
769C2—44no—
770C2—82no—
771C2—242no—
772C2C2×#555211yescharacteristic
773C2#8719211yescharacteristic
774C2#8719211yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#442C2
socleC22×C3C23×D4
hypercenterC2×#442D3
hypocenterC3#61332
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #85788C2semidirect
2. #85766C2semidirect
3. C2×C3×#442C2semidirect
4. #83826C2semidirect
5. #82307C2semidirect
6. #82296C2semidirect
7. #79854C2semidirect
8. #79853C2semidirect
9. #79852C2semidirect
10. #79851C2semidirect
11. #79130C2semidirect
12. #78737C2semidirect
13. #78726C2semidirect
14. #78497C2semidirect
15. #78480C2semidirect
26. #5559C22semidirect
28. #5553C22semidirect
31. #5543C22semidirect
32. #5542C22semidirect
34. #5539C22semidirect
36. D4×Dic6C22semidirect
59. #5019C22semidirect
60. #5016C22semidirect
61. #5015C22semidirect
62. #5009C22semidirect
63. #5008C22semidirect
64. #5007C22semidirect
68. #4871C22semidirect
69. #4870C22semidirect
70. #4857C22semidirect
71. #4854C22semidirect
72. #4785C22semidirect
73. #4768C22semidirect
74. #4765C22semidirect
75. #4764C22semidirect
76. #4760C22semidirect
77. #4758C22semidirect
78. #4757C22semidirect
79. #4756C22semidirect
80. #4714C22semidirect
81. #4714C22semidirect
82. #4713C22semidirect
83. #4703C22semidirect
84. #4701C22semidirect
85. #4701C22semidirect
100. C2×#442D3semidirect
291. C2×C3×D4#41semidirect
573. C2×D4#235semidirect
767. C3#61332semidirect

Maximal subgroups

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

subgroupindex
#857882
#857662
C2×C3×#4422
#838262
#823072
#822962
#798542
#798532
#798522
#798512
#791302
#787372
#787262
#784972
#784802
#613323