Finite Group Databasebeta

← #11664517

Subgroups — #11664517

Order 768.

2078 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87268C211yesmaximal, characteristic
2C2×#5519C211yesmaximal, characteristic, complemented
3C3×#2896C211yesmaximal, characteristic, complemented
4C2×#5232C211yesmaximal, characteristic, complemented
5C2×#5133C211yesmaximal, characteristic, complemented
6#83747C211yesmaximal, characteristic, complemented
7#82213C211yesmaximal, characteristic, complemented
8#78952C214yesmaximal, complemented
9#78920C214yesmaximal, complemented
10#78879C214yesmaximal, complemented
11#78878C214yesmaximal, complemented
12#78828C214yesmaximal, complemented
13#78827C214yesmaximal, complemented
14#60621—31nomaximal, Sylow
15C22×C3×#41C2211yescharacteristic
16C22×#235C2211yescharacteristic
17C22×C3×M16C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19#5833—21no—
20#5833—21no—
21#5832C2214yes—
22#5830C2212yes—
23#5828—22no—
24#5825C2212yes—
25#5816C2212yes—
26#5805C2212yes—
27#5804—22no—
28#5791—22no—
29C2×#926C2211yescharacteristic
30C22×C4⋊Dic3C2211yescharacteristic
31C22×#208C2211yescharacteristic
32#5519—22no—
33#5519—22no—
34#5519C2214yescomplemented
35#5519C2214yescomplemented
36C2×#890C2212yescomplemented
37C2×#888C2212yescomplemented
38C2×#878—22no—
39C2×#870—21no—
40C2×#869—21no—
41C3×#419C2212yescomplemented
42C3×#418C2212yescomplemented
43C3×#417C2212yescomplemented
44C3×#417C2212yescomplemented
45C3×#416C2214yes—
46#5232C2214yes—
47#5232C2214yescomplemented
48C2×#835C2212yescomplemented
49C2×#832C2212yescomplemented
50#5133C2214yes—
51#5133C2214yescomplemented
52#5122C2214yescomplemented
53Dic3×M16C2214yescomplemented
54C2×#821C2212yescomplemented
55C2×#816C2212yescomplemented
56#5101C2214yescomplemented
57#5004C2212yescomplemented
58#5002C2214yes—
59#5001C2212yescomplemented
60#4966C2212yescomplemented
61#4966C2212yescomplemented
62#4800C2218yescomplemented
63#4797C2218yescomplemented
64#4794C2218yescomplemented
65#4792C2218yescomplemented
66#4768C2218yescomplemented
67#4765C2218yescomplemented
68#4764C2218yescomplemented
69#4760C2218yescomplemented
70C2×#544—31no—
71#3449—31no—
72#3142—34no—
73#3141—34no—
74#3137—34no—
75#3137—34no—
76#3136—34no—
77#3136—34no—
78#2896—31no—
79#2896D311yescharacteristic, complemented
80C2×#417—31no—
81C2×#417—31no—
82#2873—31no—
83C2×C3×#41—21no—
84C2×C3×#41—21no—
85C2×C3×#41—24no—
86C2×C3×#41—24no—
87C2×C3×#41C2312yes—
88C2×C3×#41C2312yes—
89C22×C3×Q8C2311yescharacteristic
90C22×C3×D4—21no—
91C22×C3×D4C2311yescharacteristic
92C23×C3×C4—21no—
93C23×C3×C4C2311yescharacteristic
94C22×#67—21no—
95C23×Dic3—21no—
96C2×#235—21no—
97C2×#235—21no—
98C2×#235—24no—
99C2×#235—24no—
100C2×#235C2312yes—
101C2×#235C2312yes—
102C22×D12C2311yescharacteristic
103C22×C4×D3—21no—
104C22×Dic6—22no—
105C22×Dic6C2311yescharacteristic
106C2×C3×M16—24no—
107C2×C3×M16C2312yes—
108C2×C3×M16C2312yes—
109C22×C3×C8C2312yes—
110C3×#117—21no—
111C3×#117—21no—
112C3×#117C2312yes—
113C3×#117C2312yes—
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C22⋊C4—21no—
117C2×C3×C42—21no—
118#953—24no—
119C2×#217D412yes—
120#947C2314yes—
121#946—22no—
122#946—22no—
123#944C2314yes—
124#940C2314yes—
125#939—24no—
126#939—24no—
127#938—22no—
128#938—22no—
129#937—24no—
130#936C2314yes—
131#935—24no—
132#930—22no—
133#930—22no—
134#929—24no—
135C4×#67—24no—
136C4×#67—24no—
137#926D412yes—
138#926D412yes—
139#926C2312yes—
140#926C2312yes—
141C2×C4⋊Dic3—21no—
142C2×C4⋊Dic3—21no—
143C2×C4⋊Dic3—21no—
144C2×C4⋊Dic3—22no—
145C2×C4⋊Dic3D411yescharacteristic
146C2×C4⋊Dic3D411yescharacteristic
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2312yes—
149C2×C4⋊Dic3C2312yes—
150#924—22no—
151#924—22no—
152C2×Dic3⋊C4—22no—
153C2×Dic3⋊C4—22no—
154C2×C4×Dic3C2312yes—
155C2×#208—24no—
156C2×#208C2312yes—
157C2×#208C2312yes—
158C22×C3⋊C8C2312yes—
159#890—24no—
160#890C2318yes—
161#888—24no—
162#888C2318yes—
163#878—28no—
164#878—28no—
165#870—24no—
166#870—24no—
167#869—24no—
168#869—24no—
169C3×#103C2314yes—
170C3×#103C2314yes—
171C3×#102C2314yes—
172C3×#102C2314yes—
173#835C2318yes—
174#832C2318yes—
175#821C2318yes—
176#816C2318yes—
177#815C2318yes—
178C8×Dic3C2318yes—
179#810C2314yes—
180#810C2314yes—
181#809C2314yes—
182#809C2314yes—
183C22×#41—31no—
184C22×#41C2×D311yescharacteristic
185C22×M16—31no—
186C22×M16C2×D311yescharacteristic
187#544—34no—
188#544—34no—
189#544—62no—
190#544—62no—
191#537—61no—
192#537—61no—
193#536—32no—
194#536—32no—
195#535—32no—
196#535—32no—
197#534—62no—
198#532—34no—
199C2×C4⋊Q8—32no—
200C2×C4⋊Q8—61no—
201C2×#125—32no—
202C2×#125—61no—
203#525—62no—
204#525—62no—
205C2×C22⋊Q8—62no—
206C2×#117—31no—
207C2×#117C2×D311yescharacteristic
208C22×C4⋊C4—31no—
209#491—38no—
210#490—38no—
211#489—38no—
212#489—38no—
213#488—38no—
214#488—38no—
215#487—38no—
216#486—38no—
217#419—32no—
218#419C2×D312yescomplemented
219#418—32no—
220#418C2×D312yescomplemented
221#417—34no—
222#417—34no—
223#417—34no—
224#417—34no—
225#417—32no—
226#417—32no—
227#417C2×D312yescomplemented
228#417C2×D312yescomplemented
229#416—34no—
230#416C2×D314yes—
231C2×#103—32no—
232C2×#103—32no—
233C2×#102—32no—
234C2×#102—32no—
235#405—34no—
236#405—34no—
237C4×M16—34no—
238C24×C3—21no—
239C24×C3C2×D411yescharacteristic
240C23×D3—21no—
241C3×#41—24no—
242C3×#41—24no—
243C3×#41—24no—
244C3×#41—24no—
245C3×#41—44no—
246C3×#41—44no—
247C2×C3×Q8—21no—
248C2×C3×Q8—22no—
249C2×C3×Q8—22no—
250C2×C3×Q8C2412yes—
251C2×C3×D4—22no—
252C2×C3×D4—22no—
253C2×C3×D4—21no—
254C2×C3×D4—22no—
255C2×C3×D4—22no—
256C2×C3×D4—44no—
257C2×C3×D4C2412yes—
258C22×C3×C4—21no—
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—22no—
262C22×C3×C4—22no—
263C22×C3×C4—44no—
264C22×C3×C4C2×D411yescharacteristic
265C22×C3×C4C2×D411yescharacteristic
266C22×C3×C4C2×D411yescharacteristic
267C22×C3×C4#4114yes—
268C22×C3×C4#4114yes—
269C22×C3×C4C2411yescharacteristic
270C22×C3×C4C2411yescharacteristic
271C22×C3×C4C2411yescharacteristic
272C2×#67—22no—
273C2×#67—22no—
274C2×#67—24no—
275C2×#67—24no—
276C2×#67—44no—
277C22×Dic3—22no—
278C22×Dic3—21no—
279C22×Dic3—22no—
280C22×Dic3—22no—
281C22×Dic3—82no—
282C22×Dic3C2×D412yes—
283C22×Dic3C2×D412yes—
284#235—24no—
285#235—24no—
286#235—24no—
287#235—24no—
288#235—44no—
289#235—44no—
290C2×D12—22no—
291C2×D12—22no—
292C2×D12—21no—
293C2×D12C2412yes—
294C2×C4×D3—22no—
295C2×C4×D3—22no—
296C2×C4×D3—44no—
297C2×Dic6—22no—
298C2×Dic6—22no—
299C2×Dic6—21no—
300C2×Dic6—28no—
301C2×Dic6—84no—
302C2×Dic6C2412yes—
303C3×M16—24no—
304C3×M16—24no—
305C2×C3×C8—24no—
306C2×C3×C8C2414yes—
307C3×C4⋊C4—21no—
308C3×C4⋊C4—21no—
309C3×C4⋊C4C2412yes—
310C3×C4⋊C4C2412yes—
311C3×C22⋊C4—22no—
312C3×C22⋊C4—22no—
313C3×C42—22no—
314C3×C42—22no—
315#217—24no—
316#217—24no—
317#217C2×D414yes—
318#217C2×D414yes—
319(C2×D3)⋊C4—24no—
320(C2×D3)⋊C4—24no—
321C4⋊Dic3—22no—
322C4⋊Dic3—22no—
323C4⋊Dic3—22no—
324C4⋊Dic3—28no—
325C4⋊Dic3C2×D412yes—
326C4⋊Dic3C2×D412yes—
327C4⋊Dic3C2×D412yes—
328C4⋊Dic3C2×D412yes—
329C4⋊Dic3C2414yes—
330Dic3⋊C4—28no—
331Dic3⋊C4—28no—
332Dic3⋊C4—24no—
333Dic3⋊C4—24no—
334C4×Dic3C2×D414yes—
335C4×Dic3C2414yes—
336#208—24no—
337#208—24no—
338C2×C3⋊C8—24no—
339C2×C3⋊C8C2414yes—
340C2×#41—21no—
341C2×#41—21no—
342C2×#41—24no—
343C2×#41—24no—
344C2×#41—32no—
345C2×#41—32no—
346C2×#41—61no—
347C2×#41—61no—
348C2×#41—64no—
349C2×#41—64no—
350C2×#41C22×D312yes—
351C2×#41C22×D312yes—
352C22×Q8—31no—
353C22×Q8—62no—
354C22×Q8C22×D311yescharacteristic
355C22×D4—21no—
356C22×D4—31no—
357C22×D4—61no—
358C22×D4C22×D311yescharacteristic
359C23×C4—21no—
360C23×C4—61no—
361C23×C4—61no—
362C23×C4C22×D311yescharacteristic
363C2×M16—24no—
364C2×M16—32no—
365C2×M16—32no—
366C2×M16—64no—
367C2×M16C22×D312yes—
368C2×M16C22×D312yes—
369C22×C8—32no—
370C22×C8C22×D312yes—
371C4⋊Q8—38no—
372C4⋊Q8—34no—
373C4⋊Q8—64no—
374C4⋊Q8—64no—
375C4⋊Q8—64no—
376#127—34no—
377#125—38no—
378#125—64no—
379#125—64no—
380#125—64no—
381#124—34no—
382#124—34no—
383#123—64no—
384#123—64no—
385C22⋊Q8—68no—
386C22⋊Q8—68no—
387C22⋊Q8—62no—
388C22⋊Q8—62no—
389C22⋊Q8—62no—
390C22⋊Q8—62no—
391#121—62no—
392#121—62no—
393#121—62no—
394#121—62no—
395#121—64no—
396#121—64no—
397#120—64no—
398#120—64no—
399C4×D4—64no—
400C4×D4—64no—
401#117—21no—
402#117—21no—
403#117—32no—
404#117—32no—
405#117—32no—
406#117—32no—
407#117C22×D312yes—
408#117C22×D312yes—
409C2×C4⋊C4—31no—
410C2×C4⋊C4—31no—
411C2×C4⋊C4—32no—
412C2×C4⋊C4—32no—
413C2×C4⋊C4—32no—
414C2×C4⋊C4—62no—
415C2×C4⋊C4—62no—
416C2×C4⋊C4—62no—
417C2×C4⋊C4—61no—
418C2×C4⋊C4—61no—
419C2×C4⋊C4—61no—
420C2×C4⋊C4C22×D311yescharacteristic
421C2×C4⋊C4C22×D311yescharacteristic
422C2×C22⋊C4—21no—
423C2×C22⋊C4—32no—
424C2×C42—21no—
425C2×C42—32no—
426#103—38no—
427#103—38no—
428#103—34no—
429#103—34no—
430#103C22×D314yes—
431#103C22×D314yes—
432#102—38no—
433#102—38no—
434#102—34no—
435#102—34no—
436#102C22×D314yes—
437#102C22×D314yes—
438#97—38no—
439C4×C8—38no—
440C23×C3—22no—
441C23×C3—41no—
442C23×C3—41no—
443C23×C3—42no—
444C23×C3—81no—
445C23×C3—81no—
446C23×C3#12414yes—
447C23×C3C22×D411yescharacteristic
448C23×C3C22×D411yescharacteristic
449C23×C3C22×D411yescharacteristic
450C22×D3—22no—
451C22×D3—42no—
452C22×D3—81no—
453C22×D3—81no—
454C3×Q8—22no—
455C3×Q8—22no—
456C3×Q8—42no—
457C3×D4—22no—
458C3×D4—22no—
459C3×D4—44no—
460C3×D4—44no—
461C3×D4—42no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—42no—
466C2×C3×C4—42no—
467C2×C3×C4—42no—
468C2×C3×C4—44no—
469C2×C3×C4—44no—
470C2×C3×C4#12414yes—
471C2×C3×C4#12414yes—
472C2×C3×C4#12414yes—
473C2×C3×C4C22×D411yescharacteristic
474C2×C3×C4C22×D411yescharacteristic
475C2×C3×C4C22×D411yescharacteristic
476C2×C3×C4C2×#4112yes—
477C2×C3×C4C2×#4112yes—
478C2×C3×C4C2×#4112yes—
479C2×C3×C4C2×#4112yes—
480C2×C3×C4C2×#4112yes—
481C2×C3×C4C2×#4112yes—
482C2×C3×C4C2511yescharacteristic
483#67—44no—
484#67—44no—
485#67—84no—
486#67—84no—
487C2×Dic3—24no—
488C2×Dic3—22no—
489C2×Dic3—42no—
490C2×Dic3—42no—
491C2×Dic3—44no—
492C2×Dic3—42no—
493C2×Dic3—82no—
494C2×Dic3—82no—
495C2×Dic3C22×D414yes—
496C2×Dic3C22×D414yes—
497D12—22no—
498D12—22no—
499D12—42no—
500C4×D3—44no—
501C4×D3—44no—
502Dic6—22no—
503Dic6—22no—
504Dic6—42no—
505Dic6—88no—
506C3×C8—24no—
507C3⋊C8—24no—
508C24—21no—
509C24—61no—
510C24D3×D411yescharacteristic
511#41—24no—
512#41—24no—
513#41—24no—
514#41—24no—
515#41—44no—
516#41—44no—
517#41—64no—
518#41—64no—
519#41—64no—
520#41—64no—
521#41—124no—
522#41—124no—
523C2×Q8—21no—
524C2×Q8—22no—
525C2×Q8—22no—
526C2×Q8—32no—
527C2×Q8—68no—
528C2×Q8—61no—
529C2×Q8—62no—
530C2×Q8—62no—
531C2×Q8—244no—
532C2×Q8C23×D312yes—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—32no—
539C2×D4—44no—
540C2×D4—64no—
541C2×D4—64no—
542C2×D4—62no—
543C2×D4—62no—
544C2×D4—62no—
545C2×D4—61no—
546C2×D4—62no—
547C2×D4—124no—
548C2×D4C23×D312yes—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—32no—
555C22×C4—32no—
556C22×C4—44no—
557C22×C4—62no—
558C22×C4—61no—
559C22×C4—62no—
560C22×C4—62no—
561C22×C4—62no—
562C22×C4—62no—
563C22×C4—124no—
564C22×C4—242no—
565C22×C4#23514yes—
566C22×C4D3×D411yescharacteristic
567C22×C4D3×D411yescharacteristic
568C22×C4D3×D411yescharacteristic
569C22×C4#23714yes—
570C22×C4C23×D311yescharacteristic
571C22×C4C23×D311yescharacteristic
572C22×C4C23×D311yescharacteristic
573M16—24no—
574M16—24no—
575M16—64no—
576M16—64no—
577C2×C8—24no—
578C2×C8—34no—
579C2×C8—64no—
580C2×C8C23×D314yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—32no—
584C4⋊C4—32no—
585C4⋊C4—32no—
586C4⋊C4—32no—
587C4⋊C4—34no—
588C4⋊C4—68no—
589C4⋊C4—68no—
590C4⋊C4—68no—
591C4⋊C4—64no—
592C4⋊C4—64no—
593C4⋊C4—62no—
594C4⋊C4—62no—
595C4⋊C4—62no—
596C4⋊C4C23×D312yes—
597C4⋊C4C23×D312yes—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—34no—
601C22⋊C4—34no—
602C22⋊C4—64no—
603C22⋊C4—64no—
604C22⋊C4—64no—
605C22⋊C4—64no—
606C42—22no—
607C42—22no—
608C42—34no—
609C42—34no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—21no—
616C22×C3—44no—
617C22×C3—42no—
618C22×C3—42no—
619C22×C3—42no—
620C22×C3—84no—
621C22×C3C2×#12412yes—
622C22×C3C2×#12412yes—
623C22×C3C2×#12412yes—
624C22×C3C23×D411yescharacteristic
625C2×D3—42no—
626C2×D3—42no—
627C2×D3—42no—
628C2×D3—84no—
629C3×C4—42no—
630C3×C4—42no—
631C3×C4—42no—
632C3×C4C2×#12412yes—
633C3×C4C2×#12412yes—
634C3×C4C2×#12412yes—
635C3×C4C22×#4111yescharacteristic
636C3×C4C22×#4111yescharacteristic
637Dic3—24no—
638Dic3—24no—
639Dic3—44no—
640Dic3—42no—
641C23—22no—
642C23—41no—
643C23—41no—
644C23—42no—
645C23—62no—
646C23—81no—
647C23—81no—
648C23—122no—
649C23—241no—
650C23—241no—
651C23#88514yes—
652C23C2×D3×D411yescharacteristic
653C23C2×D3×D411yescharacteristic
654C23C2×D3×D411yescharacteristic
655Q8—22no—
656Q8—22no—
657Q8—42no—
658Q8—62no—
659Q8—62no—
660Q8—122no—
661Q8—248no—
662D4—22no—
663D4—22no—
664D4—44no—
665D4—44no—
666D4—42no—
667D4—62no—
668D4—62no—
669D4—124no—
670D4—124no—
671D4—122no—
672D4—244no—
673D4—244no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—34no—
678C2×C4—34no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—62no—
685C2×C4—64no—
686C2×C4—122no—
687C2×C4—122no—
688C2×C4—124no—
689C2×C4—122no—
690C2×C4—124no—
691C2×C4—124no—
692C2×C4—242no—
693C2×C4—242no—
694C2×C4#88514yes—
695C2×C4#88514yes—
696C2×C4#88514yes—
697C2×C4C2×#23512yes—
698C2×C4C2×#23512yes—
699C2×C4C2×#23512yes—
700C2×C4C2×D3×D411yescharacteristic
701C2×C4C2×D3×D411yescharacteristic
702C2×C4C2×D3×D411yescharacteristic
703C2×C4C2×#23712yes—
704C2×C4C2×#23712yes—
705C2×C4C2×#23712yes—
706C2×C4C24×D311yescharacteristic
707C8—24no—
708C8—64no—
709C2×C3—22no—
710C2×C3—22no—
711C2×C3—22no—
712C2×C3—82no—
713C2×C3C22×#12411yescharacteristic
714C2×C3#358511yescharacteristic
715C2×C3#358611yescharacteristic
716D3—82no—
717C22—21no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—21no—
723C22—44no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—84no—
728C22—122no—
729C22—122no—
730C22—122no—
731C22—244no—
732C22C2×#88512yes—
733C22C2×#88512yes—
734C22C2×#88512yes—
735C22C22×D3×D411yescharacteristic
736C4—42no—
737C4—42no—
738C4—42no—
739C4—64no—
740C4—64no—
741C4—124no—
742C4—122no—
743C4C2×#88512yes—
744C4C2×#88512yes—
745C4C2×#88512yes—
746C4C22×#23511yescharacteristic
747C4C22×#23711yescharacteristic
748C3#6062111yescharacteristic, complemented, Sylow
749C2—22no—
750C2—22no—
751C2—22no—
752C2—82no—
753C2—242no—
754C2C22×#88511yescharacteristic
755C2#8720011yescharacteristic
756C2#8720111yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#2896C2
socleC22×C3C23×D4
prime radical#87268C2
hypercenter#2896D3
hypocenterC3#60621
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2896

Complements

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

NH ≅ G/Ntype
2. C2×#5519C2semidirect
3. C3×#2896C2semidirect
4. C2×#5232C2semidirect
5. C2×#5133C2semidirect
6. #83747C2semidirect
7. #82213C2semidirect
8. #78952C2semidirect
9. #78920C2semidirect
10. #78879C2semidirect
11. #78878C2semidirect
12. #78828C2semidirect
13. #78827C2semidirect
34. #5519C22semidirect
35. #5519C22semidirect
36. C2×#890C22semidirect
37. C2×#888C22semidirect
41. C3×#419C22semidirect
42. C3×#418C22semidirect
43. C3×#417C22semidirect
44. C3×#417C22semidirect
47. #5232C22semidirect
48. C2×#835C22semidirect
49. C2×#832C22semidirect
51. #5133C22semidirect
52. #5122C22semidirect
53. Dic3×M16C22semidirect
54. C2×#821C22semidirect
55. C2×#816C22semidirect
56. #5101C22semidirect
57. #5004C22semidirect
59. #5001C22semidirect
60. #4966C22semidirect
61. #4966C22semidirect
62. #4800C22semidirect
63. #4797C22semidirect
64. #4794C22semidirect
65. #4792C22semidirect
66. #4768C22semidirect
67. #4765C22semidirect
68. #4764C22semidirect
69. #4760C22semidirect
79. #2896D3semidirect
218. #419C2×D3semidirect
220. #418C2×D3semidirect
227. #417C2×D3semidirect
228. #417C2×D3semidirect
748. C3#60621semidirect

Maximal subgroups

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

subgroupindex
#872682
C2×#55192
C3×#28962
C2×#52322
C2×#51332
#837472
#822132
#789522
#789202
#788792
#788782
#788282
#788272
#606213