Finite Group Databasebeta

← #11675159

Subgroups — #11675159

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#86224C211yesmaximal, characteristic, complemented
2#85766C211yesmaximal, characteristic, complemented
3C3×#3036C211yesmaximal, characteristic
4#83935C212yesmaximal, complemented
5#83930C212yesmaximal, complemented
6#83281C211yesmaximal, characteristic, complemented
7C2×C4×#214C211yesmaximal, characteristic, complemented
8#80522C214yesmaximal, complemented
9#80516C214yesmaximal, complemented
10#80417C212yesmaximal, complemented
11#80414C212yesmaximal, complemented
12#80323C212yesmaximal, complemented
13#80319C212yesmaximal, complemented
14#79068C211yesmaximal, characteristic, complemented
15#79044C211yesmaximal, characteristic, complemented
16#78877C212yesmaximal, complemented
17#78873C212yesmaximal, complemented
18#61326—31nomaximal, Sylow
19C2×C3×AGL(1,ℤ/8)C2212yes—
20C3×#532C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22#5827C2212yes—
23#5825C2212yes—
24#5798C2212yes—
25C22×#214C2211yescharacteristic
26C2×#924—22no—
27#5721C2212yescomplemented
28#5713C2212yescomplemented
29#5671C2214yescomplemented
30#5602—22no—
31#5600—22no—
32#5543—21no—
33#5543—21no—
34#5543C2212yes—
35#5542—21no—
36#5541—22no—
37#5539—22no—
38#5539C2214yes—
39D4×Dic6—21no—
40D4×Dic6C2212yes—
41#5500C2212yes—
42#5483—22no—
43#5470C2211yescharacteristic
44#5470C2211yescharacteristic
45C2×C4×Dic6C2211yescharacteristic
46C3×#463C2214yes—
47C3×#461C2212yes—
48C3×#459C2212yes—
49C3×#423C2211yescharacteristic
50C3×#417C2212yes—
51#5233C2212yes—
52#5233C2212yes—
53C2×#832C2211yescharacteristic
54#5164C2214yes—
55#5162C2214yes—
56#5162C2214yes—
57Dic3×SD16C2214yes—
58#5153C2214yes—
59#5153C2214yes—
60#5152C2214yes—
61Dic3×D8C2214yes—
62#5122C2212yes—
63#5121C2212yes—
64#5120C2212yes—
65#5119C2212yes—
66#5079C2211yescharacteristic, complemented
67#5079C2211yescharacteristic, complemented
68#5070C2211yescharacteristic, complemented
69#5070C2211yescharacteristic, complemented
70#5056C2212yescomplemented
71#5056C2212yescomplemented
72C4×#214C2212yes—
73C4×#214C2212yes—
74C4×#214C2212yes—
75C4×#214C2212yes—
76C2×#810C2211yescharacteristic
77C2×#808C2211yescharacteristic
78C2×C4×C3⋊C8C2211yescharacteristic
79#4851C2212yescomplemented
80#4850C2212yescomplemented
81#4831C2212yescomplemented
82#4831C2212yescomplemented
83#4830C2212yescomplemented
84#4830C2212yescomplemented
85#4829C2214yescomplemented
86#4797C2214yescomplemented
87#4796C2214yescomplemented
88#4792C2214yescomplemented
89#4791C2214yescomplemented
90#4768C2214yescomplemented
91#4766C2214yescomplemented
92#4765C2214yescomplemented
93#4761C2214yescomplemented
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#3078—31no—
106#3042—32no—
107#3036D311yescharacteristic
108#2960—31no—
109#2946—32no—
110C2×C4×SD16—31no—
111C2×C3×#41C2312yes—
112C22×C3×D4C2311yescharacteristic
113C23×C3×C4—21no—
114C22×Dic6—22no—
115C22×Dic6C2311yescharacteristic
116C3×AGL(1,ℤ/8)—28no—
117C2×C3×SD16C2314yes—
118C2×C3×D8C2314yes—
119C2×C3×M16C2312yes—
120C3×C4⋊Q8C2311yescharacteristic
121C3×#127C2311yescharacteristic
122C3×#124C2312yes—
123C3×#121—21no—
124C3×#121—21no—
125C3×C4×D4—21no—
126C3×C4×D4—21no—
127C3×C4×D4—21no—
128C3×C4×D4—21no—
129C3×C4×D4C2312yes—
130C3×C4×D4C2312yes—
131C2×C3×C4⋊C4C2311yescharacteristic
132C2×C3×C22⋊C4—21no—
133C2×C3×C42C2311yescharacteristic
134C2×#217—24no—
135Q8×Dic3C2314yes—
136#944C2314yes—
137#936—22no—
138#936C2314yes—
139#935—24no—
140#935—24no—
141D4×Dic3—24no—
142D4×Dic3—22no—
143D4×Dic3—22no—
144D4×Dic3—22no—
145D4×Dic3C2314yes—
146D4×Dic3C2314yes—
147D4×Dic3C2314yes—
148C2×#214—24no—
149C2×#214C2312yes—
150C2×#214C2312yes—
151#926—22no—
152#926C2312yes—
153#926C2312yes—
154C2×C4⋊Dic3—22no—
155C2×C4⋊Dic3—22no—
156C2×C4⋊Dic3C2311yescharacteristic
157#924—21no—
158#924—21no—
159#924—22no—
160#924—24no—
161#924—22no—
162#924—22no—
163#924—22no—
164#924—24no—
165#924D412yes—
166#924D412yes—
167C2×Dic3⋊C4—21no—
168C2×Dic3⋊C4—24no—
169C2×C4×Dic3—21no—
170C22×C3⋊C8C2311yescharacteristic
171C22×C3⋊C8C2311yescharacteristic
172#890—22no—
173#890—22no—
174#890C2314yes—
175#889—24no—
176#888—22no—
177#888C2314yes—
178#887—22no—
179#879—24no—
180#879—24no—
181#878—24no—
182#878—24no—
183#878—24no—
184#878—24no—
185#878—24no—
186#877—24no—
187#870D412yes—
188#870C2312yes—
189#869D411yescharacteristic
190#869D411yescharacteristic
191#869C2311yescharacteristic
192#869C2311yescharacteristic
193C4×Dic6—21no—
194C4×Dic6—21no—
195C4×Dic6—21no—
196C4×Dic6—21no—
197C4×Dic6C2312yes—
198C4×Dic6C2312yes—
199C4×Dic6C2312yes—
200C4×Dic6C2312yes—
201C3×C4⋊C8C2312yes—
202C3×C4⋊C8C2312yes—
203C3×#103C2314yes—
204C3×#102C2314yes—
205#835C2312yes—
206#835C2312yes—
207#835C2312yes—
208#835C2312yes—
209#832C2312yes—
210#832C2312yes—
211#832C2312yes—
212#832C2312yes—
213#832C2312yes—
214#832C2312yes—
215#818C2314yes—
216#817C2314yes—
217#816C2314yes—
218#816C2314yes—
219#815C2314yes—
220Dic3⋊C8C2314yes—
221Dic3⋊C8C2314yes—
222C8×Dic3C2314yes—
223#810C2312yes—
224#810C2312yes—
225#808C2312yes—
226#808C2312yes—
227C4×C3⋊C8C2311yescharacteristic
228C4×C3⋊C8C2311yescharacteristic
229C4×C3⋊C8C2311yescharacteristic
230C4×C3⋊C8C2311yescharacteristic
231C2×AGL(1,ℤ/8)C2×D312yes—
232C22×SD16—31no—
233#559—32no—
234#557—32no—
235#556—34no—
236#556—61no—
237#554—34no—
238#554—32no—
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#533—31no—
251#532C2×D311yescharacteristic
252#529—62no—
253C2×C22⋊Q8—62no—
254#520—32no—
255#518—32no—
256C2×C4×Q8—31no—
257C2×C4×D4C2×D311yescharacteristic
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#479—34no—
270#478—34no—
271#477—32no—
272#476—34no—
273#475—32no—
274#475—34no—
275#463—34no—
276#463—34no—
277#463C2×D314yes—
278#461—34no—
279#461—34no—
280#461C2×D312yes—
281#459C2×D312yes—
282#446—32no—
283#446—32no—
284C8×Q8—32no—
285C8×Q8—32no—
286#442—34no—
287#440—34no—
288C4×SD16—34no—
289C4×SD16—32no—
290C4×SD16—32no—
291C4×SD16—32no—
292C4×SD16—32no—
293C4×D8—34no—
294#428—32no—
295C2×#106—31no—
296#424—32no—
297#423C2×D311yescharacteristic
298#419—32no—
299#417C2×D312yes—
300#416—32no—
301#416—32no—
302C2×#103—31no—
303C2×#102—31no—
304#405—32no—
305C2×C4×C8—31no—
306C24×C3—21no—
307C3×#41—24no—
308C3×#41—24no—
309C2×C3×Q8C2412yes—
310C2×C3×D4—22no—
311C2×C3×D4—21no—
312C2×C3×D4—21no—
313C2×C3×D4—21no—
314C2×C3×D4—22no—
315C2×C3×D4#4114yes—
316C2×C3×D4C2412yes—
317C2×C3×D4C2412yes—
318C22×C3×C4—21no—
319C22×C3×C4—22no—
320C22×C3×C4—22no—
321C22×C3×C4—22no—
322C22×C3×C4—82no—
323C22×C3×C4C2×D411yescharacteristic
324C22×C3×C4C2×D411yescharacteristic
325C22×C3×C4C2411yescharacteristic
326C22×Dic3—21no—
327C22×Dic3—21no—
328C22×Dic3—24no—
329C22×Dic3—24no—
330C22×Dic3—24no—
331C2×Dic6—22no—
332C2×Dic6—22no—
333C2×Dic6—21no—
334C2×Dic6—21no—
335C2×Dic6—21no—
336C2×Dic6—24no—
337C2×Dic6—84no—
338C2×Dic6C2×D412yes—
339C2×Dic6C2×D412yes—
340C2×Dic6C2412yes—
341C3×SD16—28no—
342C3×D8—28no—
343C3×M16—24no—
344C2×C3×C8C2414yes—
345C3×C4⋊C4—21no—
346C3×C4⋊C4—21no—
347C3×C4⋊C4—21no—
348C3×C4⋊C4C2412yes—
349C3×C22⋊C4—22no—
350C3×C22⋊C4—22no—
351C3×C22⋊C4—22no—
352C3×C22⋊C4—22no—
353C3×C42C2×D411yescharacteristic
354C3×C42C2×D411yescharacteristic
355C3×C42C2411yescharacteristic
356C3×C42C2411yescharacteristic
357#217—22no—
358#217—24no—
359#217—24no—
360#217—24no—
361#217—24no—
362#217—24no—
363#217C2×D414yes—
364#214—24no—
365#214—24no—
366C4⋊Dic3—21no—
367C4⋊Dic3—21no—
368C4⋊Dic3—21no—
369C4⋊Dic3—24no—
370C4⋊Dic3—24no—
371C4⋊Dic3C2×D412yes—
372C4⋊Dic3C2×D412yes—
373C4⋊Dic3C2×D412yes—
374C4⋊Dic3C2×D412yes—
375C4⋊Dic3C2412yes—
376C4⋊Dic3C2412yes—
377C4⋊Dic3C2412yes—
378Dic3⋊C4—22no—
379Dic3⋊C4—22no—
380Dic3⋊C4—22no—
381Dic3⋊C4—22no—
382Dic3⋊C4—24no—
383Dic3⋊C4—24no—
384Dic3⋊C4—24no—
385Dic3⋊C4—24no—
386Dic3⋊C4C2×D414yes—
387Dic3⋊C4C2×D414yes—
388C4×Dic3—22no—
389C4×Dic3—22no—
390C4×Dic3—22no—
391C4×Dic3—24no—
392C4×Dic3C2414yes—
393C2×C3⋊C8—22no—
394C2×C3⋊C8—22no—
395C2×C3⋊C8C2411yescharacteristic
396C2×C3⋊C8C2411yescharacteristic
397C2×C3⋊C8C2411yescharacteristic
398C2×C3⋊C8C2411yescharacteristic
399C2×#41C22×D312yes—
400C22×Q8—31no—
401C22×Q8—62no—
402C22×D4C22×D311yescharacteristic
403C23×C4—21no—
404AGL(1,ℤ/8)—28no—
405C2×SD16—32no—
406C2×SD16—32no—
407C2×SD16—64no—
408C2×SD16C22×D314yes—
409C2×D8C22×D314yes—
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—31no—
419C4⋊Q8—62no—
420C4⋊Q8C22×D311yescharacteristic
421#127C22×D311yescharacteristic
422#126—64no—
423#126—64no—
424#125—34no—
425#125—32no—
426#125—32no—
427#125—62no—
428#125—64no—
429#125—62no—
430#124—34no—
431#124—62no—
432#124C22×D312yes—
433#123—64no—
434#123—64no—
435C22⋊Q8—32no—
436C22⋊Q8—32no—
437C22⋊Q8—64no—
438C22⋊Q8—64no—
439C22⋊Q8—64no—
440C22⋊Q8—64no—
441C22⋊Q8—64no—
442C22⋊Q8—64no—
443C22⋊Q8—62no—
444C22⋊Q8—64no—
445C22⋊Q8—62no—
446C22⋊Q8—62no—
447C22⋊Q8—62no—
448C22⋊Q8—61no—
449C22⋊Q8—61no—
450#121—21no—
451#121—21no—
452C4×Q8—32no—
453C4×Q8—32no—
454C4×Q8—34no—
455C4×Q8—32no—
456C4×Q8—32no—
457C4×Q8—62no—
458C4×Q8—61no—
459C4×Q8—61no—
460C4×Q8—61no—
461C4×Q8—61no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—34no—
467C4×D4—34no—
468C4×D4—34no—
469C4×D4—64no—
470C4×D4—62no—
471C4×D4—62no—
472C4×D4—62no—
473C4×D4C22×D312yes—
474C4×D4C22×D312yes—
475#117—32no—
476#117—32no—
477#117—64no—
478#117—62no—
479C2×C4⋊C4—31no—
480C2×C4⋊C4—62no—
481C2×C4⋊C4—64no—
482C2×C4⋊C4—62no—
483C2×C4⋊C4—61no—
484C2×C4⋊C4C22×D311yescharacteristic
485C2×C22⋊C4—21no—
486C2×C22⋊C4—64no—
487C2×C42—61no—
488C2×C42C22×D311yescharacteristic
489#107—34no—
490#106—34no—
491#106—32no—
492#106—32no—
493C4⋊C8—34no—
494C4⋊C8—34no—
495C4⋊C8C22×D312yes—
496C4⋊C8C22×D312yes—
497#103—32no—
498#103—32no—
499#103—32no—
500#103—32no—
501#103—34no—
502#103—34no—
503#103—32no—
504#103—32no—
505#103C22×D314yes—
506#102—32no—
507#102—32no—
508#102—32no—
509#102—32no—
510#102—32no—
511#102—32no—
512#102C22×D314yes—
513#97—34no—
514C4×C8—34no—
515C4×C8—31no—
516C4×C8—31no—
517C4×C8—31no—
518C4×C8—31no—
519C23×C3—22no—
520C23×C3—24no—
521C23×C3—22no—
522C23×C3—81no—
523C23×C3—81no—
524C23×C3C22×D411yescharacteristic
525C3×Q8—22no—
526C3×Q8—22no—
527C3×D4—24no—
528C3×D4—22no—
529C3×D4—22no—
530C3×D4—22no—
531C3×D4—44no—
532C3×D4—42no—
533C3×D4—81no—
534C3×D4C2×#4114yes—
535C2×C3×C4—22no—
536C2×C3×C4—22no—
537C2×C3×C4—22no—
538C2×C3×C4—41no—
539C2×C3×C4—44no—
540C2×C3×C4—44no—
541C2×C3×C4—82no—
542C2×C3×C4—81no—
543C2×C3×C4C22×D411yescharacteristic
544C2×C3×C4C22×D411yescharacteristic
545C2×C3×C4C22×D411yescharacteristic
546C2×C3×C4C22×D411yescharacteristic
547C2×C3×C4C22×D411yescharacteristic
548C2×C3×C4C2×#4112yes—
549C2×C3×C42−1+412yes—
550C2×C3×C4C2511yescharacteristic
551C2×Dic3—22no—
552C2×Dic3—22no—
553C2×Dic3—22no—
554C2×Dic3—22no—
555C2×Dic3—42no—
556C2×Dic3—84no—
557C2×Dic3—84no—
558C2×Dic3—84no—
559C2×Dic3—81no—
560C2×Dic3C22×D414yes—
561C2×Dic3C22×D414yes—
562Dic6—24no—
563Dic6—22no—
564Dic6—22no—
565Dic6—42no—
566Dic6—42no—
567Dic6—42no—
568Dic6—84no—
569Dic6—81no—
570C3×C8—24no—
571C3⋊C8—21no—
572C3⋊C8—21no—
573C3⋊C8—21no—
574C3⋊C8—21no—
575C24—21no—
576#41—24no—
577#41—24no—
578C2×Q8—32no—
579C2×Q8—32no—
580C2×Q8—32no—
581C2×Q8—64no—
582C2×Q8—61no—
583C2×Q8—61no—
584C2×Q8—61no—
585C2×Q8—62no—
586C2×Q8—62no—
587C2×Q8—244no—
588C2×Q8C23×D312yes—
589C2×D4—22no—
590C2×D4—21no—
591C2×D4—21no—
592C2×D4—21no—
593C2×D4—22no—
594C2×D4#23714yes—
595C2×D4C23×D312yes—
596C2×D4C23×D312yes—
597C22×C4—21no—
598C22×C4—22no—
599C22×C4—22no—
600C22×C4—22no—
601C22×C4—64no—
602C22×C4—64no—
603C22×C4—64no—
604C22×C4—61no—
605C22×C4—61no—
606C22×C4—82no—
607C22×C4D3×D411yescharacteristic
608C22×C4D3×D411yescharacteristic
609C22×C4C23×D311yescharacteristic
610SD16—28no—
611SD16—64no—
612SD16—64no—
613D8—28no—
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—21no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—32no—
626C4⋊C4—34no—
627C4⋊C4—32no—
628C4⋊C4—32no—
629C4⋊C4—34no—
630C4⋊C4—32no—
631C4⋊C4—32no—
632C4⋊C4—32no—
633C4⋊C4—32no—
634C4⋊C4—64no—
635C4⋊C4—64no—
636C4⋊C4—64no—
637C4⋊C4—64no—
638C4⋊C4—64no—
639C4⋊C4—64no—
640C4⋊C4—61no—
641C4⋊C4—62no—
642C4⋊C4—61no—
643C4⋊C4—62no—
644C4⋊C4—62no—
645C4⋊C4—62no—
646C4⋊C4—61no—
647C4⋊C4C23×D312yes—
648C22⋊C4—22no—
649C22⋊C4—22no—
650C22⋊C4—22no—
651C22⋊C4—22no—
652C22⋊C4—34no—
653C22⋊C4—64no—
654C22⋊C4—64no—
655C22⋊C4—64no—
656C22⋊C4—64no—
657C22⋊C4—64no—
658C22⋊C4—62no—
659C42—34no—
660C42—64no—
661C42—62no—
662C42—62no—
663C42—62no—
664C42D3×D411yescharacteristic
665C42D3×D411yescharacteristic
666C42C23×D311yescharacteristic
667C42C23×D311yescharacteristic
668C22×C3—21no—
669C22×C3—21no—
670C22×C3—24no—
671C22×C3—42no—
672C22×C3—42no—
673C22×C3—42no—
674C22×C3—42no—
675C22×C3—42no—
676C22×C3—84no—
677C22×C3#54812yes—
678C22×C3C23×D411yescharacteristic
679C3×C4—21no—
680C3×C4—21no—
681C3×C4—21no—
682C3×C4—42no—
683C3×C4—42no—
684C3×C4#54812yes—
685C3×C4#57712yes—
686C3×C4C22×#4111yescharacteristic
687C3×C4C2×2−1+411yescharacteristic
688Dic3—24no—
689Dic3—24no—
690Dic3—42no—
691Dic3—42no—
692Dic3—42no—
693Dic3—42no—
694C23—22no—
695C23—24no—
696C23—22no—
697C23—81no—
698C23—81no—
699C23C2×D3×D411yescharacteristic
700Q8—22no—
701Q8—22no—
702Q8—64no—
703Q8—62no—
704Q8—62no—
705Q8—122no—
706Q8—122no—
707Q8—122no—
708Q8—241no—
709Q8—244no—
710D4—22no—
711D4—22no—
712D4—22no—
713D4—24no—
714D4—44no—
715D4—42no—
716D4—81no—
717D4C2×#23714yes—
718C2×C4—22no—
719C2×C4—22no—
720C2×C4—22no—
721C2×C4—34no—
722C2×C4—34no—
723C2×C4—41no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—62no—
727C2×C4—62no—
728C2×C4—62no—
729C2×C4—62no—
730C2×C4—82no—
731C2×C4—81no—
732C2×C4—122no—
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×C4C2×#23712yes—
743C2×C4#101012yes—
744C2×C4C24×D311yescharacteristic
745C8—24no—
746C8—61no—
747C8—61no—
748C8—61no—
749C8—61no—
750C2×C3—22no—
751C2×C3—44no—
752C2×C3—82no—
753C2×C3C2×#54811yescharacteristic
754C2×C3C2×#57711yescharacteristic
755C2×C3#358411yescharacteristic
756C22—21no—
757C22—21no—
758C22—24no—
759C22—42no—
760C22—42no—
761C22—42no—
762C22—42no—
763C22—42no—
764C22—84no—
765C22#559812yes—
766C22C22×D3×D411yescharacteristic
767C4—21no—
768C4—21no—
769C4—21no—
770C4—42no—
771C4—42no—
772C4—64no—
773C4—64no—
774C4—122no—
775C4—122no—
776C4—122no—
777C4—122no—
778C4#559812yes—
779C4#577512yes—
780C4C22×#23711yescharacteristic
781C4C2×#101011yescharacteristic
782C3#6132611yescharacteristic, complemented, Sylow
783C2—22no—
784C2—44no—
785C2—82no—
786C2C2×#559811yescharacteristic
787C2C2×#577511yescharacteristic
788C2#8719911yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
Fitting, prime radicalC3×#3036C2
socleC22×C3C23×D4
hypercenter#3036D3
hypocenterC3#61326
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. #86224C2semidirect
2. #85766C2semidirect
4. #83935C2semidirect
5. #83930C2semidirect
6. #83281C2semidirect
7. C2×C4×#214C2semidirect
8. #80522C2semidirect
9. #80516C2semidirect
10. #80417C2semidirect
11. #80414C2semidirect
12. #80323C2semidirect
13. #80319C2semidirect
14. #79068C2semidirect
15. #79044C2semidirect
16. #78877C2semidirect
17. #78873C2semidirect
27. #5721C22semidirect
28. #5713C22semidirect
29. #5671C22semidirect
66. #5079C22semidirect
67. #5079C22semidirect
68. #5070C22semidirect
69. #5070C22semidirect
70. #5056C22semidirect
71. #5056C22semidirect
79. #4851C22semidirect
80. #4850C22semidirect
81. #4831C22semidirect
82. #4831C22semidirect
83. #4830C22semidirect
84. #4830C22semidirect
85. #4829C22semidirect
86. #4797C22semidirect
87. #4796C22semidirect
88. #4792C22semidirect
89. #4791C22semidirect
90. #4768C22semidirect
91. #4766C22semidirect
92. #4765C22semidirect
93. #4761C22semidirect
782. C3#61326semidirect

Maximal subgroups

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

subgroupindex
#862242
#857662
C3×#30362
#839352
#839302
#832812
C2×C4×#2142
#805222
#805162
#804172
#804142
#803232
#803192
#790682
#790442
#788772
#788732
#613263