Finite Group Databasebeta

← #11675153

Subgroups — #11675153

Order 768.

1806 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86280C211yesmaximal, characteristic, complemented
2#85819C211yesmaximal, characteristic, complemented
3C3×#3078C211yesmaximal, characteristic, complemented
4#83334C211yesmaximal, characteristic, complemented
5C2×C4×#215C211yesmaximal, characteristic, complemented
6#81265C214yesmaximal, complemented
7#81215C214yesmaximal, complemented
8#81135C212yesmaximal, complemented
9#81134C212yesmaximal, complemented
10#81038C212yesmaximal, complemented
11#81037C212yesmaximal, complemented
12#79244C212yesmaximal, complemented
13#79201C212yesmaximal, complemented
14#79055C211yesmaximal, characteristic
15#79044C211yesmaximal, characteristic, complemented
16#78976C212yesmaximal, complemented
17#78952C212yesmaximal, complemented
18#61326—31nomaximal, Sylow
19C3×#533C2211yescharacteristic
20C2×C3×C4×Q8C2211yescharacteristic
21#5816C2212yes—
22C22×#215C2211yescharacteristic
23C2×#908C2212yes—
24#5730C2212yes—
25#5727C2212yes—
26#5690C2214yes—
27#5634—22no—
28D3×C22⋊Q8—22no—
29#5585C2212yescomplemented
30#5584—21no—
31#5581—22no—
32#5579—22no—
33#5579—21no—
34#5579—21no—
35Q8×D12—21no—
36#5568C2214yescomplemented
37#5567C2212yescomplemented
38#5521C2212yes—
39#5519C2212yes—
40#5515—22no—
41#5504C2212yes—
42#5479—22no—
43#5477C2211yescharacteristic
44C2×C4×D12C2211yescharacteristic
45#5470C2211yescharacteristic
46C3×#479C2214yescomplemented
47C3×#477C2212yescomplemented
48C3×#475C2212yescomplemented
49C3×#428C2212yes—
50C3×#423C2211yescharacteristic
51C3×#419C2212yes—
52C2×#835C2211yescharacteristic
53#5133C2212yes—
54#5122C2212yes—
55#5119C2212yes—
56#5093C2211yescharacteristic, complemented
57#5093C2211yescharacteristic, complemented
58#5088C2211yescharacteristic, complemented
59#5088C2211yescharacteristic, complemented
60#5068C2212yescomplemented
61#5068C2212yescomplemented
62C4×#215C2212yes—
63C4×#215C2212yes—
64C4×#215C2212yes—
65C4×#215C2212yes—
66#5002C2212yes—
67#5002C2212yes—
68C2×#809C2211yescharacteristic
69C2×#808C2211yescharacteristic
70C2×C4×C3⋊C8C2211yescharacteristic
71#4891C2214yescomplemented
72#4889C2214yes—
73#4877C2214yescomplemented
74#4872C2214yes—
75#4870C2214yescomplemented
76#4869C2214yes—
77#4854C2214yescomplemented
78#4852C2214yes—
79#4844C2214yes—
80#4843C2212yes—
81#4841C2212yes—
82#4831C2212yescomplemented
83#4831C2212yescomplemented
84#4830C2212yescomplemented
85#4830C2212yescomplemented
86#4819C2214yes—
87#4819C2214yes—
88#4818C2214yes—
89#4818C2214yes—
90#4800C2214yescomplemented
91#4797C2214yescomplemented
92#4794C2214yescomplemented
93#4792C2214yescomplemented
94#3507—31no—
95#3501—31no—
96#3376—34no—
97#3373—32no—
98#3372—32no—
99#3361—32no—
100#3360—34no—
101#3359—32no—
102#3137—32no—
103#3131—31no—
104#3084—32no—
105#3078D311yescharacteristic, complemented
106#3042—32no—
107#3036—31no—
108#2960—31no—
109#2946—32no—
110C2×C4×SD16—31no—
111C22×C3×Q8C2311yescharacteristic
112C2×D3×Q8—22no—
113C2×#235C2312yes—
114C22×D12C2311yescharacteristic
115C22×C4×D3—21no—
116C2×C3×M16C2312yes—
117C3×C4⋊Q8C2311yescharacteristic
118C3×C4⋊Q8C2311yescharacteristic
119C3×#125C2312yes—
120C3×C22⋊Q8—21no—
121C3×C22⋊Q8—21no—
122C3×C4×Q8—21no—
123C3×C4×Q8—21no—
124C3×C4×Q8—21no—
125C3×C4×Q8—21no—
126C3×C4×Q8C2312yes—
127C3×C4×Q8C2312yes—
128C3×#117C2312yes—
129C2×C3×C4⋊C4—21no—
130C2×C3×C4⋊C4C2311yescharacteristic
131C2×C3×C42—21no—
132C2×C3×C42C2311yescharacteristic
133#947C2314yes—
134#946—22no—
135#946—22no—
136#946—22no—
137#946—24no—
138#944C2314yes—
139C2×#215—24no—
140C2×#215C2312yes—
141C2×#215C2312yes—
142#930—21no—
143#930—21no—
144#929—24no—
145C4×#67—24no—
146C2×(C2×D3)⋊C4—21no—
147#926C2312yes—
148C2×C4⋊Dic3C2311yescharacteristic
149#924D412yes—
150#924D412yes—
151C22×C3⋊C8C2311yescharacteristic
152C22×C3⋊C8C2311yescharacteristic
153#908—28no—
154C2×D24C2314yes—
155C2×#204C2314yes—
156#898—24no—
157#897—22no—
158#897—24no—
159#896—24no—
160#896—24no—
161#896—24no—
162#896—24no—
163#894—24no—
164#893C2314yes—
165#893C2314yes—
166#893C2314yes—
167#892—22no—
168D3×C4⋊C4—22no—
169D3×C4⋊C4—22no—
170D3×C4⋊C4—24no—
171#890C2314yes—
172#889—24no—
173#888C2314yes—
174#887C2314yes—
175D3×C22⋊C4—24no—
176#878—24no—
177#876—24no—
178#875—22no—
179#875C2312yes—
180#874C2311yescharacteristic
181C4×D12—21no—
182C4×D12—21no—
183C4×D12—21no—
184C4×D12—21no—
185C4×D12—22no—
186C4×D12—22no—
187C4×D12—22no—
188C4×D12C2312yes—
189C4×D12C2312yes—
190#872—24no—
191#870—22no—
192#870—22no—
193#870D412yes—
194#869—22no—
195#869D411yescharacteristic
196#869D411yescharacteristic
197#869C2311yescharacteristic
198C4×Dic6—22no—
199C4×Dic6C2312yes—
200C4×Dic6C2312yes—
201C3×#107C2314yes—
202C3×#106C2314yes—
203C3×C4⋊C8C2312yes—
204C3×C4⋊C8C2312yes—
205C3×#103C2314yes—
206C3×#103C2314yes—
207#835C2312yes—
208#835C2312yes—
209#821C2314yes—
210#816C2314yes—
211#815C2314yes—
212Dic3⋊C8C2314yes—
213Dic3⋊C8C2314yes—
214C8×Dic3C2314yes—
215#810C2312yes—
216#810C2312yes—
217#810C2312yes—
218#810C2312yes—
219#809C2312yes—
220#809C2312yes—
221#809C2312yes—
222#809C2312yes—
223#809C2312yes—
224#809C2312yes—
225#808C2312yes—
226#808C2312yes—
227C4×C3⋊C8C2311yescharacteristic
228C4×C3⋊C8C2311yescharacteristic
229C4×C3⋊C8C2311yescharacteristic
230C4×C3⋊C8C2311yescharacteristic
231C2×AGL(1,ℤ/8)—32no—
232C22×SD16—31no—
233#559—32no—
234#557—32no—
235#556—34no—
236#556—61no—
237#554—32no—
238#554—34no—
239#554—62no—
240#554—61no—
241#554—61no—
242#552—62no—
243D4×Q8—32no—
244D4×Q8—61no—
245#544—32no—
246#543—62no—
247#539—62no—
248#536—32no—
249#533—31no—
250#533C2×D311yescharacteristic
251#532—31no—
252#529—62no—
253C2×C22⋊Q8—62no—
254#520—32no—
255#518—32no—
256C2×C4×Q8C2×D311yescharacteristic
257C2×C4×D4—31no—
258#491—34no—
259#489—34no—
260#488—32no—
261#488—32no—
262#488—34no—
263#487—31no—
264#487—31no—
265#487—34no—
266#486—31no—
267#486—31no—
268#479—34no—
269#479C2×D314yescomplemented
270#478—34no—
271#477C2×D312yescomplemented
272#476—34no—
273#475—34no—
274#475C2×D312yescomplemented
275#463—34no—
276#463—34no—
277#463—34no—
278#461—32no—
279#461—34no—
280#461—34no—
281#459—32no—
282#446—32no—
283#446—32no—
284C8×Q8—32no—
285C8×Q8—32no—
286#442—34no—
287#440—34no—
288C4×SD16—32no—
289C4×SD16—32no—
290C4×SD16—32no—
291C4×SD16—32no—
292C4×SD16—34no—
293C4×D8—34no—
294#428C2×D312yes—
295C2×#106—31no—
296#424—32no—
297#423C2×D311yescharacteristic
298#419C2×D312yes—
299#417—32no—
300#416—32no—
301#416—32no—
302C2×#103—31no—
303C2×#102—31no—
304#405—32no—
305C2×C4×C8—31no—
306C23×D3—21no—
307C2×C3×Q8—21no—
308C2×C3×Q8—21no—
309C2×C3×Q8—21no—
310C2×C3×Q8—22no—
311C2×C3×Q8—22no—
312C2×C3×Q8C2412yes—
313C22×C3×C4—21no—
314C22×C3×C4—21no—
315C22×C3×C4C2×D411yescharacteristic
316C22×C3×C4C2×D411yescharacteristic
317C22×C3×C4C2411yescharacteristic
318C2×#67—22no—
319C22×Dic3—21no—
320D3×Q8—84no—
321#235—24no—
322#235—24no—
323C2×D12—21no—
324C2×D12—22no—
325C2×D12—21no—
326C2×D12—21no—
327C2×D12#4114yes—
328C2×D12C2412yes—
329C2×D12C2412yes—
330C2×C4×D3—22no—
331C2×C4×D3—22no—
332C2×C4×D3—22no—
333C2×C4×D3—24no—
334C2×C4×D3—24no—
335C2×C4×D3—24no—
336C2×C4×D3—82no—
337C2×Dic6—24no—
338C2×Dic6C2×D412yes—
339C2×Dic6C2×D412yes—
340C2×Dic6C2412yes—
341C3×M16—24no—
342C2×C3×C8C2414yes—
343C3×C4⋊C4—22no—
344C3×C4⋊C4—21no—
345C3×C4⋊C4—22no—
346C3×C4⋊C4—21no—
347C3×C4⋊C4—21no—
348C3×C4⋊C4—22no—
349C3×C4⋊C4—22no—
350C3×C4⋊C4C2412yes—
351C3×C4⋊C4C2412yes—
352C3×C4⋊C4C2412yes—
353C3×C22⋊C4—22no—
354C3×C42—22no—
355C3×C42—22no—
356C3×C42—22no—
357C3×C42C2×D411yescharacteristic
358C3×C42C2×D411yescharacteristic
359C3×C42C2411yescharacteristic
360C3×C42C2411yescharacteristic
361#217C2×D414yes—
362#215—24no—
363#215—24no—
364(C2×D3)⋊C4—22no—
365(C2×D3)⋊C4—22no—
366(C2×D3)⋊C4—22no—
367(C2×D3)⋊C4—22no—
368(C2×D3)⋊C4—24no—
369(C2×D3)⋊C4—24no—
370(C2×D3)⋊C4—24no—
371(C2×D3)⋊C4—24no—
372(C2×D3)⋊C4—24no—
373C4⋊Dic3—21no—
374C4⋊Dic3—21no—
375C4⋊Dic3—21no—
376C4⋊Dic3—24no—
377C4⋊Dic3C2×D412yes—
378C4⋊Dic3C2×D412yes—
379C4⋊Dic3C2×D412yes—
380C4⋊Dic3C2×D412yes—
381C4⋊Dic3C2412yes—
382Dic3⋊C4—24no—
383Dic3⋊C4—24no—
384Dic3⋊C4—24no—
385Dic3⋊C4—24no—
386Dic3⋊C4—24no—
387Dic3⋊C4C2×D414yes—
388Dic3⋊C4C2×D414yes—
389C4×Dic3—24no—
390C4×Dic3C2414yes—
391C2×C3⋊C8—22no—
392C2×C3⋊C8—22no—
393C2×C3⋊C8C2411yescharacteristic
394C2×C3⋊C8C2411yescharacteristic
395C2×C3⋊C8C2411yescharacteristic
396C2×C3⋊C8C2411yescharacteristic
397D24—28no—
398#204—28no—
399C2×#41—32no—
400C22×Q8—62no—
401C22×Q8C22×D311yescharacteristic
402C22×D4—31no—
403C23×C4—61no—
404AGL(1,ℤ/8)—68no—
405C2×SD16—32no—
406C2×SD16—32no—
407C2×SD16—34no—
408C2×SD16—64no—
409C2×D8—34no—
410C2×M16C22×D312yes—
411C22×C8—31no—
412C22×C8—31no—
413C4⋊Q8—34no—
414C4⋊Q8—34no—
415C4⋊Q8—31no—
416C4⋊Q8—31no—
417C4⋊Q8—31no—
418C4⋊Q8—62no—
419C4⋊Q8C22×D311yescharacteristic
420C4⋊Q8C22×D311yescharacteristic
421#127—31no—
422#126—64no—
423#126—64no—
424#125—34no—
425#125—32no—
426#125—62no—
427#125—62no—
428#125—64no—
429#125C22×D312yes—
430#124—34no—
431#124—32no—
432#124—62no—
433#123—64no—
434#123—64no—
435C22⋊Q8—21no—
436C22⋊Q8—21no—
437C22⋊Q8—32no—
438C22⋊Q8—32no—
439C22⋊Q8—64no—
440C22⋊Q8—64no—
441C22⋊Q8—64no—
442C22⋊Q8—64no—
443C22⋊Q8—62no—
444C22⋊Q8—64no—
445C22⋊Q8—64no—
446C22⋊Q8—62no—
447C22⋊Q8—62no—
448C22⋊Q8—62no—
449C22⋊Q8—64no—
450#121—61no—
451#121—61no—
452C4×Q8—21no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×Q8—32no—
457C4×Q8—32no—
458C4×Q8—34no—
459C4×Q8—62no—
460C4×Q8C22×D312yes—
461C4×Q8C22×D312yes—
462C4×D4—34no—
463C4×D4—34no—
464C4×D4—34no—
465C4×D4—32no—
466C4×D4—32no—
467C4×D4—62no—
468C4×D4—62no—
469C4×D4—62no—
470C4×D4—64no—
471C4×D4—61no—
472C4×D4—61no—
473C4×D4—61no—
474C4×D4—61no—
475#117—32no—
476#117—64no—
477#117—62no—
478#117C22×D312yes—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—31no—
481C2×C4⋊C4—62no—
482C2×C4⋊C4—64no—
483C2×C4⋊C4—62no—
484C2×C4⋊C4C22×D311yescharacteristic
485C2×C22⋊C4—64no—
486C2×C22⋊C4—61no—
487C2×C42—21no—
488C2×C42C22×D311yescharacteristic
489#107C22×D314yes—
490#106—32no—
491#106—32no—
492#106C22×D314yes—
493C4⋊C8—34no—
494C4⋊C8—34no—
495C4⋊C8C22×D312yes—
496C4⋊C8C22×D312yes—
497#103—32no—
498#103—32no—
499#103—34no—
500#103—32no—
501#103—32no—
502#103—32no—
503#103—32no—
504#103C22×D314yes—
505#103C22×D314yes—
506#102—34no—
507#102—32no—
508#102—32no—
509#102—32no—
510#102—32no—
511#102—32no—
512#102—32no—
513#97—34no—
514C4×C8—34no—
515C4×C8—31no—
516C4×C8—31no—
517C4×C8—31no—
518C4×C8—31no—
519C23×C3C22×D411yescharacteristic
520C22×D3—22no—
521C22×D3—24no—
522C22×D3—22no—
523C22×D3—81no—
524C22×D3—81no—
525C3×Q8—22no—
526C3×Q8—22no—
527C3×Q8—42no—
528C3×Q8—42no—
529C3×Q8—81no—
530C2×C3×C4—22no—
531C2×C3×C4—22no—
532C2×C3×C4—22no—
533C2×C3×C4—22no—
534C2×C3×C4—22no—
535C2×C3×C4—41no—
536C2×C3×C4—42no—
537C2×C3×C4—81no—
538C2×C3×C4C22×D411yescharacteristic
539C2×C3×C4C22×D411yescharacteristic
540C2×C3×C4C22×D411yescharacteristic
541C2×C3×C4C22×D411yescharacteristic
542C2×C3×C4C22×D411yescharacteristic
543C2×C3×C4C2×#4112yes—
544C2×C3×C42−1+412yes—
545C2×C3×C4C2511yescharacteristic
546#67—44no—
547C2×Dic3—22no—
548C2×Dic3—22no—
549C2×Dic3—81no—
550C2×Dic3C22×D414yes—
551C2×Dic3C22×D414yes—
552D12—24no—
553D12—22no—
554D12—22no—
555D12—22no—
556D12—42no—
557D12—81no—
558D12C2×#4114yes—
559C4×D3—44no—
560C4×D3—44no—
561C4×D3—84no—
562C4×D3—84no—
563C4×D3—84no—
564C4×D3—82no—
565Dic6—24no—
566Dic6—22no—
567Dic6—22no—
568Dic6—42no—
569Dic6—84no—
570C3×C8—24no—
571C3⋊C8—21no—
572C3⋊C8—21no—
573C3⋊C8—21no—
574C3⋊C8—21no—
575C24—61no—
576#41—64no—
577#41—64no—
578C2×Q8—21no—
579C2×Q8—21no—
580C2×Q8—21no—
581C2×Q8—22no—
582C2×Q8—22no—
583C2×Q8—32no—
584C2×Q8—32no—
585C2×Q8—32no—
586C2×Q8—64no—
587C2×Q8—244no—
588C2×Q8C23×D312yes—
589C2×D4—34no—
590C2×D4—32no—
591C2×D4—32no—
592C2×D4—62no—
593C2×D4—61no—
594C2×D4—61no—
595C2×D4—61no—
596C2×D4—62no—
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—64no—
600C22×C4—64no—
601C22×C4—64no—
602C22×C4—61no—
603C22×C4—62no—
604C22×C4—62no—
605C22×C4—62no—
606C22×C4—242no—
607C22×C4D3×D411yescharacteristic
608C22×C4D3×D411yescharacteristic
609C22×C4C23×D311yescharacteristic
610SD16—68no—
611SD16—64no—
612SD16—64no—
613D8—68no—
614M16—24no—
615C2×C8—31no—
616C2×C8—31no—
617C2×C8—31no—
618C2×C8—31no—
619C2×C8—62no—
620C2×C8—62no—
621C2×C8C23×D314yes—
622C4⋊C4—22no—
623C4⋊C4—22no—
624C4⋊C4—21no—
625C4⋊C4—22no—
626C4⋊C4—21no—
627C4⋊C4—22no—
628C4⋊C4—21no—
629C4⋊C4—32no—
630C4⋊C4—34no—
631C4⋊C4—32no—
632C4⋊C4—32no—
633C4⋊C4—34no—
634C4⋊C4—32no—
635C4⋊C4—32no—
636C4⋊C4—64no—
637C4⋊C4—64no—
638C4⋊C4—64no—
639C4⋊C4—64no—
640C4⋊C4—64no—
641C4⋊C4—64no—
642C4⋊C4—61no—
643C4⋊C4—61no—
644C4⋊C4—61no—
645C4⋊C4C23×D312yes—
646C4⋊C4C23×D312yes—
647C4⋊C4C23×D312yes—
648C22⋊C4—22no—
649C22⋊C4—34no—
650C22⋊C4—64no—
651C22⋊C4—64no—
652C22⋊C4—64no—
653C22⋊C4—64no—
654C22⋊C4—64no—
655C22⋊C4—62no—
656C22⋊C4—62no—
657C22⋊C4—62no—
658C22⋊C4—62no—
659C42—22no—
660C42—22no—
661C42—22no—
662C42—34no—
663C42—64no—
664C42D3×D411yescharacteristic
665C42D3×D411yescharacteristic
666C42C23×D311yescharacteristic
667C42C23×D311yescharacteristic
668C22×C3—21no—
669C22×C3—21no—
670C22×C3#54812yes—
671C22×C3C23×D411yescharacteristic
672C2×D3—24no—
673C2×D3—42no—
674C2×D3—42no—
675C2×D3—42no—
676C2×D3—42no—
677C2×D3—42no—
678C2×D3—84no—
679C3×C4—21no—
680C3×C4—21no—
681C3×C4—21no—
682C3×C4—42no—
683C3×C4—42no—
684C3×C4—42no—
685C3×C4—42no—
686C3×C4#54812yes—
687C3×C4#57712yes—
688C3×C4C22×#4111yescharacteristic
689C3×C4C2×2−1+411yescharacteristic
690Dic3—24no—
691Dic3—24no—
692Dic3—42no—
693Dic3—42no—
694C23—62no—
695C23—64no—
696C23—62no—
697C23—241no—
698C23—241no—
699C23C2×D3×D411yescharacteristic
700Q8—22no—
701Q8—22no—
702Q8—42no—
703Q8—42no—
704Q8—64no—
705Q8—62no—
706Q8—62no—
707Q8—81no—
708Q8—122no—
709Q8—244no—
710D4—34no—
711D4—64no—
712D4—62no—
713D4—62no—
714D4—62no—
715D4—124no—
716D4—122no—
717D4—241no—
718C2×C4—22no—
719C2×C4—22no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—22no—
723C2×C4—34no—
724C2×C4—34no—
725C2×C4—41no—
726C2×C4—42no—
727C2×C4—62no—
728C2×C4—62no—
729C2×C4—81no—
730C2×C4—124no—
731C2×C4—124no—
732C2×C4—242no—
733C2×C4—244no—
734C2×C4—244no—
735C2×C4—244no—
736C2×C4—241no—
737C2×C4C2×D3×D411yescharacteristic
738C2×C4C2×D3×D411yescharacteristic
739C2×C4C2×D3×D411yescharacteristic
740C2×C4C2×D3×D411yescharacteristic
741C2×C4C2×D3×D411yescharacteristic
742C2×C4#100712yes—
743C2×C4D3×#4112yes—
744C2×C4C24×D311yescharacteristic
745C8—24no—
746C8—61no—
747C8—61no—
748C8—61no—
749C8—61no—
750C2×C3—22no—
751C2×C3C2×#54811yescharacteristic
752C2×C3C2×#57711yescharacteristic
753C2×C3#358411yescharacteristic
754D3—44no—
755D3—82no—
756C22—21no—
757C22—21no—
758C22—64no—
759C22—122no—
760C22—122no—
761C22—122no—
762C22—122no—
763C22—122no—
764C22—244no—
765C22#563312yes—
766C22C22×D3×D411yescharacteristic
767C4—21no—
768C4—21no—
769C4—21no—
770C4—42no—
771C4—42no—
772C4—42no—
773C4—42no—
774C4—64no—
775C4—64no—
776C4—122no—
777C4—122no—
778C4#563312yes—
779C4#577812yes—
780C4C2×#100711yescharacteristic
781C4C2×D3×#4111yescharacteristic
782C3#6132611yescharacteristic, complemented, Sylow
783C2—22no—
784C2—124no—
785C2—242no—
786C2C2×#563311yescharacteristic
787C2C2×#577811yescharacteristic
788C2#8719911yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3078C2
socleC22×C3C23×D4
prime radical#79055C2
hypercenter#3078D3
hypocenterC3#61326
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3078

Complements

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

NH ≅ G/Ntype
1. #86280C2semidirect
2. #85819C2semidirect
3. C3×#3078C2semidirect
4. #83334C2semidirect
5. C2×C4×#215C2semidirect
6. #81265C2semidirect
7. #81215C2semidirect
8. #81135C2semidirect
9. #81134C2semidirect
10. #81038C2semidirect
11. #81037C2semidirect
12. #79244C2semidirect
13. #79201C2semidirect
15. #79044C2semidirect
16. #78976C2semidirect
17. #78952C2semidirect
29. #5585C22semidirect
36. #5568C22semidirect
37. #5567C22semidirect
46. C3×#479C22semidirect
47. C3×#477C22semidirect
48. C3×#475C22semidirect
56. #5093C22semidirect
57. #5093C22semidirect
58. #5088C22semidirect
59. #5088C22semidirect
60. #5068C22semidirect
61. #5068C22semidirect
71. #4891C22semidirect
73. #4877C22semidirect
75. #4870C22semidirect
77. #4854C22semidirect
82. #4831C22semidirect
83. #4831C22semidirect
84. #4830C22semidirect
85. #4830C22semidirect
90. #4800C22semidirect
91. #4797C22semidirect
92. #4794C22semidirect
93. #4792C22semidirect
105. #3078D3semidirect
269. #479C2×D3semidirect
271. #477C2×D3semidirect
274. #475C2×D3semidirect
782. C3#61326semidirect

Maximal subgroups

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

subgroupindex
#862802
#858192
C3×#30782
#833342
C2×C4×#2152
#812652
#812152
#811352
#811342
#810382
#810372
#792442
#792012
#790552
#790442
#789762
#789522
#613263