Finite Group Databasebeta

← #10772493

Subgroups — #10772493

Order 768.

956 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86167C211yesmaximal, characteristic, complemented
2#83148C211yesmaximal, characteristic, complemented
3#79343C211yesmaximal, characteristic, complemented
4#78463C211yesmaximal, characteristic, complemented
5C3×#1494C211yesmaximal, characteristic, complemented
6#70820C211yesmaximal, characteristic, complemented
7C2×#4459C211yesmaximal, characteristic, complemented
8#68269C211yesmaximal, characteristic, complemented
9#68266C211yesmaximal, characteristic, complemented
10#68247C211yesmaximal, characteristic, complemented
11#68245C211yesmaximal, characteristic, complemented
12#68204C211yesmaximal, characteristic, complemented
13#68200C211yesmaximal, characteristic, complemented
14#68181C211yesmaximal, characteristic, complemented
15#68180C211yesmaximal, characteristic, complemented
16#18638—31nomaximal, Sylow
17C3×#529C2211yescharacteristic
18#5707—22no—
19#5694—21no—
20#5677—21no—
21#5658—22no—
22D3×C22⋊Q8—21no—
23#5606—21no—
24#5584C2211yescharacteristic
25Q8×D12C2211yescharacteristic
26#5555C2211yescharacteristic
27#5551C2211yescharacteristic
28#5550—21no—
29#5543—21no—
30#5534—21no—
31#5523—21no—
32#5477C2211yescharacteristic
33C2×C4×D12C2211yescharacteristic
34#5470C2211yescharacteristic
35C3×#432C2211yescharacteristic
36C2×C3×C4×C8C2211yescharacteristic
37#5113—22no—
38#5066—21no—
39#5057—21no—
40#5048—21no—
41#5038—21no—
42#5027C2211yescharacteristic, complemented
43#5021C2211yescharacteristic, complemented
44#5015C2211yescharacteristic, complemented
45#5008C2211yescharacteristic, complemented
46C2×C4⋊(C3⋊C8)C2211yescharacteristic
47#4843C2211yescharacteristic
48#4843C2211yescharacteristic
49#4842C2211yescharacteristic
50#4842C2211yescharacteristic
51#4735—21no—
52#4732—21no—
53#4711—21no—
54#4711—21no—
55#4697—22no—
56#4694C2211yescharacteristic, complemented
57#4694C2211yescharacteristic, complemented
58#4681C2211yescharacteristic, complemented
59#4681C2211yescharacteristic, complemented
60C3×Q8⋊C8C2211yescharacteristic, complemented
61C3×Q8⋊C8C2211yescharacteristic, complemented
62C3×D4⋊C8C2211yescharacteristic, complemented
63C3×D4⋊C8C2211yescharacteristic, complemented
64#4486C2211yescharacteristic, complemented
65#4486C2211yescharacteristic, complemented
66#4482C2211yescharacteristic, complemented
67#4482C2211yescharacteristic, complemented
68#4459C2211yescharacteristic
69#4459C2211yescharacteristic
70#4459C2211yescharacteristic
71#4459C2211yescharacteristic
72#3520—31no—
73#3247—31no—
74#3131—31no—
75#3109—31no—
76#1638—31no—
77#1637—31no—
78#1635—31no—
79#1635—31no—
80#1628—31no—
81#1627—31no—
82#1625—31no—
83#1625—31no—
84#1552—31no—
85#1494D311yescharacteristic, complemented
86C2×D4⋊C8—31no—
87C2×D3×Q8—21no—
88C2×#237—21no—
89C2×#235—21no—
90C2×#235—21no—
91C22×D12D411yescharacteristic
92C22×C4×D3—21no—
93C22×C3×C8—21no—
94C3×#126—21no—
95C3×#125D411yescharacteristic
96C3×#124D411yescharacteristic
97C3×#123—21no—
98C3×C22⋊Q8D411yescharacteristic
99C3×#121D411yescharacteristic
100C3×C4×Q8C2311yescharacteristic
101C3×C4×D4—21no—
102C3×C4×D4C2311yescharacteristic
103C3×#117—21no—
104C2×C3×C42C2311yescharacteristic
105#946—21no—
106C2×#215—21no—
107#938—21no—
108#937—22no—
109D4×Dic3—22no—
110C2×#213—21no—
111#930—21no—
112#930—21no—
113#930—21no—
114C2×(C2×D3)⋊C4—21no—
115#926D412yes—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3D411yescharacteristic
118#924—21no—
119#924—21no—
120#924—21no—
121C22×C3⋊C8—21no—
122C2×D24—21no—
123C2×D24—21no—
124#898—22no—
125#898—22no—
126#897—21no—
127#897—21no—
128#897—22no—
129#896—22no—
130#894—22no—
131#892—22no—
132#892—21no—
133D3×C4⋊C4—22no—
134D3×C4⋊C4—21no—
135#890—22no—
136#886—22no—
137#885—22no—
138#884—22no—
139#883—22no—
140#883—22no—
141#67⋊C4—22no—
142#67⋊C4—22no—
143D3×C22⋊C4—22no—
144#878—22no—
145#878—22no—
146#875—21no—
147#875—21no—
148#874C2311yescharacteristic
149C4×D12—21no—
150C4×D12—21no—
151C4×D12—21no—
152C4×D12—21no—
153C4×D12—21no—
154C4×D12D411yescharacteristic
155C4×D12D411yescharacteristic
156C4×D12C2311yescharacteristic
157C4×D12C2311yescharacteristic
158#870D412yes—
159#869—21no—
160#869C2311yescharacteristic
161#869C2311yescharacteristic
162#869C2311yescharacteristic
163C4×Dic6—21no—
164C4×Dic6—21no—
165C4×Dic6—21no—
166C3×C4⋊C8C2311yescharacteristic
167C3×C4⋊C8C2311yescharacteristic
168C3×C22⋊C8—21no—
169C3×#97—21no—
170C3×C4×C8—21no—
171C3×C4×C8C2311yescharacteristic
172C3×C4×C8C2311yescharacteristic
173#835—21no—
174#832—21no—
175#821—21no—
176#821—21no—
177#821—22no—
178#821—22no—
179#821—21no—
180#821—21no—
181#817—21no—
182#817—21no—
183#816—22no—
184#816—22no—
185#809—21no—
186#809—21no—
187#808—21no—
188#807—21no—
189C4⋊(C3⋊C8)—21no—
190C4⋊(C3⋊C8)C2311yescharacteristic
191C4⋊(C3⋊C8)C2311yescharacteristic
192#556—31no—
193#554—61no—
194#552—61no—
195#551—62no—
196D4×Q8—31no—
197#548—61no—
198#547—31no—
199#547—31no—
200#546—61no—
201#542—61no—
202#539—62no—
203#533—31no—
204#532—31no—
205#529C2×D311yescharacteristic
206#525—61no—
207C2×C22⋊Q8—61no—
208#520—61no—
209C2×C4×D4—31no—
210#488—62no—
211#487—31no—
212#487—31no—
213#486—31no—
214#486—31no—
215#481—61no—
216#478—61no—
217#477—31no—
218#476—31no—
219#476—31no—
220#476—31no—
221#466—61no—
222#465—61no—
223#463—61no—
224#460—31no—
225#459—31no—
226#459—31no—
227#459—31no—
228#447—61no—
229#442—61no—
230#442—61no—
231#432C2×D311yescharacteristic
232C2×C4⋊C8—31no—
233#416—62no—
234C2×C4×C8C2×D311yescharacteristic
235#332—31no—
236#332—31no—
237#332—31no—
238#332—31no—
239Q8⋊C8C2×D311yescharacteristic, complemented
240Q8⋊C8C2×D311yescharacteristic, complemented
241D4⋊C8—31no—
242D4⋊C8—31no—
243D4⋊C8—31no—
244D4⋊C8—31no—
245D4⋊C8C2×D311yescharacteristic, complemented
246D4⋊C8C2×D311yescharacteristic, complemented
247C23×D3—21no—
248C2×C3×Q8C2×D411yescharacteristic
249C2×C3×D4—21no—
250C2×C3×D4C2×D411yescharacteristic
251C22×C3×C4—21no—
252C22×C3×C4C2×D411yescharacteristic
253C22×C3×C4C2×D411yescharacteristic
254C22×C3×C4C2×D411yescharacteristic
255C2×#67—22no—
256C2×#67—22no—
257C2×#67—41no—
258C22×Dic3—22no—
259C22×Dic3—21no—
260D3×Q8—81no—
261D3×Q8—81no—
262#237—81no—
263#237—81no—
264#235—42no—
265#235—42no—
266#235—44no—
267C2×D12—22no—
268C2×D12—21no—
269C2×D12—21no—
270C2×D12—21no—
271C2×D12—21no—
272C2×D12—41no—
273C2×D12C2×D411yescharacteristic
274C2×D12C2×D411yescharacteristic
275C2×C4×D3—22no—
276C2×C4×D3—21no—
277C2×C4×D3—21no—
278C2×C4×D3—22no—
279C2×C4×D3—21no—
280C2×C4×D3—21no—
281C2×C4×D3—41no—
282C2×C4×D3—81no—
283C2×C4×D3—81no—
284C2×Dic6—21no—
285C2×Dic6—21no—
286C2×Dic6—21no—
287C2×Dic6—22no—
288C2×C3×C8—21no—
289C2×C3×C8—21no—
290C2×C3×C8—21no—
291C2×C3×C8—21no—
292C2×C3×C8—42no—
293C3×C4⋊C4—21no—
294C3×C4⋊C4—21no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4C2×D411yescharacteristic
298C3×C4⋊C4C2×D411yescharacteristic
299C3×C22⋊C4—21no—
300C3×C22⋊C4—21no—
301C3×C22⋊C4—21no—
302C3×C22⋊C4—21no—
303C3×C22⋊C4—21no—
304C3×C42—21no—
305C3×C42C2×D411yescharacteristic
306C3×C42C2×D411yescharacteristic
307C3×C42C2×D411yescharacteristic
308C3×C42C2411yescharacteristic
309#217—22no—
310#217—22no—
311#215—81no—
312#213—81no—
313(C2×D3)⋊C4—22no—
314(C2×D3)⋊C4—22no—
315(C2×D3)⋊C4—22no—
316(C2×D3)⋊C4—22no—
317(C2×D3)⋊C4—21no—
318(C2×D3)⋊C4—21no—
319(C2×D3)⋊C4—21no—
320(C2×D3)⋊C4—21no—
321(C2×D3)⋊C4—41no—
322(C2×D3)⋊C4—41no—
323C4⋊Dic3—22no—
324C4⋊Dic3—22no—
325C4⋊Dic3—21no—
326C4⋊Dic3—21no—
327C4⋊Dic3—21no—
328C4⋊Dic3—21no—
329C4⋊Dic3—21no—
330C4⋊Dic3C2×D412yes—
331C4⋊Dic3C2×D412yes—
332C4⋊Dic3C2×D411yescharacteristic
333C4⋊Dic3C2×D411yescharacteristic
334Dic3⋊C4—22no—
335Dic3⋊C4—22no—
336Dic3⋊C4—22no—
337Dic3⋊C4—22no—
338C4×Dic3—22no—
339C4×Dic3—22no—
340C2×C3⋊C8—21no—
341C2×C3⋊C8—21no—
342C2×C3⋊C8—81no—
343D24—42no—
344D24—42no—
345C2×#41—61no—
346C2×#41—61no—
347C2×#41—61no—
348C22×Q8—61no—
349C22×D4—31no—
350C23×C4—61no—
351C2×SD16—61no—
352C2×D8—61no—
353C2×D8—61no—
354C2×D8—61no—
355C22×C8—21no—
356C22×C8—61no—
357C4⋊Q8—31no—
358C4⋊Q8—31no—
359C4⋊Q8—31no—
360C4⋊Q8—61no—
361#127—31no—
362#126—21no—
363#126—62no—
364#126—62no—
365#125—32no—
366#125—62no—
367#125D1211yescharacteristic
368#124—61no—
369#124—62no—
370#124—61no—
371#124D1211yescharacteristic
372#123—21no—
373#123—62no—
374#123—62no—
375#123—62no—
376#123—62no—
377C22⋊Q8—62no—
378C22⋊Q8—62no—
379C22⋊Q8—62no—
380C22⋊Q8—62no—
381C22⋊Q8—61no—
382C22⋊Q8—61no—
383C22⋊Q8—61no—
384C22⋊Q8—61no—
385C22⋊Q8—61no—
386C22⋊Q8—61no—
387C22⋊Q8D1211yescharacteristic
388#121—62no—
389#121—61no—
390#121—61no—
391#121—61no—
392#121—61no—
393#121D1211yescharacteristic
394#120—62no—
395C4×Q8—61no—
396C4×Q8—61no—
397C4×Q8—61no—
398C4×Q8C22×D311yescharacteristic
399C4×D4—21no—
400C4×D4—31no—
401C4×D4—31no—
402C4×D4—31no—
403C4×D4—31no—
404C4×D4—61no—
405C4×D4—62no—
406C4×D4—62no—
407C4×D4—62no—
408C4×D4—61no—
409C4×D4—61no—
410C4×D4—61no—
411C4×D4—61no—
412C4×D4C22×D311yescharacteristic
413#117—21no—
414#117—32no—
415#117—62no—
416#117—61no—
417C2×C4⋊C4—31no—
418C2×C4⋊C4—62no—
419C2×C4⋊C4—61no—
420C2×C4⋊C4—61no—
421C2×C22⋊C4—62no—
422C2×C22⋊C4—61no—
423C2×C42C22×D311yescharacteristic
424#107—61no—
425#106—61no—
426#106—61no—
427#106—61no—
428C4⋊C8—31no—
429C4⋊C8—31no—
430C4⋊C8—61no—
431C4⋊C8C22×D311yescharacteristic
432C4⋊C8C22×D311yescharacteristic
433#103—62no—
434#103—62no—
435#103—61no—
436#102—62no—
437#102—62no—
438#102—61no—
439#102—61no—
440#102—61no—
441#102—61no—
442#102—61no—
443#102—61no—
444#102—61no—
445C22⋊C8—21no—
446#97—21no—
447C4×C8—21no—
448C4×C8C22×D311yescharacteristic
449C4×C8C22×D311yescharacteristic
450C23×C3—21no—
451C23×C3#12011yescharacteristic
452C22×D3—21no—
453C22×D3—21no—
454C22×D3—42no—
455C22×D3—42no—
456C22×D3—41no—
457C22×D3—81no—
458C3×Q8—21no—
459C3×Q8—21no—
460C3×D4—21no—
461C3×D4—21no—
462C3×D4—42no—
463C2×C3×C4—22no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—41no—
472C2×C3×C4—41no—
473C2×C3×C4#12011yescharacteristic
474C2×C3×C4#12011yescharacteristic
475C2×C3×C4#12011yescharacteristic
476C2×C3×C4C22×D411yescharacteristic
477C2×C3×C4C22×D411yescharacteristic
478C2×C3×C4C22×D411yescharacteristic
479#67—44no—
480#67—82no—
481#67—82no—
482C2×Dic3—22no—
483C2×Dic3—21no—
484C2×Dic3—22no—
485C2×Dic3—21no—
486C2×Dic3—41no—
487C2×Dic3—81no—
488C2×Dic3—82no—
489D12—21no—
490D12—21no—
491D12—21no—
492D12—42no—
493D12—42no—
494D12—41no—
495D12—41no—
496D12—41no—
497D12—41no—
498D12#13512yes—
499C4×D3—44no—
500C4×D3—41no—
501C4×D3—41no—
502C4×D3—41no—
503C4×D3—41no—
504C4×D3—81no—
505C4×D3—81no—
506C4×D3—82no—
507C4×D3—82no—
508Dic6—41no—
509Dic6—41no—
510Dic6—41no—
511Dic6—41no—
512Dic6—42no—
513Dic6—82no—
514C3×C8—41no—
515C3×C8—41no—
516C3×C8—41no—
517C3×C8—41no—
518C3⋊C8—41no—
519C3⋊C8—41no—
520C24—61no—
521#41—124no—
522#41—122no—
523#41—122no—
524#41—241no—
525#41—241no—
526C2×Q8—62no—
527C2×Q8—61no—
528C2×Q8—61no—
529C2×Q8—61no—
530C2×Q8—241no—
531C2×Q8—241no—
532C2×Q8C2×D1211yescharacteristic
533C2×D4—21no—
534C2×D4—31no—
535C2×D4—31no—
536C2×D4—62no—
537C2×D4—62no—
538C2×D4—62no—
539C2×D4—61no—
540C2×D4—61no—
541C2×D4—61no—
542C2×D4—61no—
543C2×D4—121no—
544C2×D4—121no—
545C2×D4C2×D1211yescharacteristic
546C22×C4—21no—
547C22×C4—62no—
548C22×C4—62no—
549C22×C4—62no—
550C22×C4—61no—
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—61no—
554C22×C4—61no—
555C22×C4—121no—
556C22×C4—241no—
557C22×C4—241no—
558C22×C4C2×D1211yescharacteristic
559C22×C4D3×D411yescharacteristic
560C22×C4D3×D411yescharacteristic
561SD16—241no—
562D8—122no—
563D8—122no—
564D8—241no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—42no—
570C2×C8—61no—
571C2×C8—61no—
572C2×C8—241no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—32no—
578C4⋊C4—32no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—62no—
582C4⋊C4—62no—
583C4⋊C4—62no—
584C4⋊C4—62no—
585C4⋊C4—61no—
586C4⋊C4—62no—
587C4⋊C4—62no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4C2×D1211yescharacteristic
593C4⋊C4C2×D1211yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—62no—
600C22⋊C4—62no—
601C22⋊C4—62no—
602C22⋊C4—62no—
603C22⋊C4—62no—
604C22⋊C4—62no—
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—121no—
610C22⋊C4—121no—
611C42—21no—
612C42—62no—
613C42—62no—
614C42C2×D1211yescharacteristic
615C42D3×D411yescharacteristic
616C42D3×D411yescharacteristic
617C42C23×D311yescharacteristic
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3#45412yes—
624C22×C3C2×#12011yescharacteristic
625C2×D3—22no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—84no—
632C2×D3—81no—
633C2×D3—81no—
634C2×D3—81no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4C2×#13511yescharacteristic
643C3×C4#57511yescharacteristic
644C3×C4#57611yescharacteristic
645C3×C4#57711yescharacteristic
646Dic3—42no—
647Dic3—42no—
648Dic3—41no—
649Dic3—41no—
650Dic3—81no—
651C23—21no—
652C23—61no—
653C23—61no—
654C23—122no—
655C23—122no—
656C23—121no—
657C23—241no—
658C23#88211yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—122no—
662Q8—121no—
663Q8—121no—
664Q8—121no—
665Q8—121no—
666Q8—242no—
667D4—21no—
668D4—21no—
669D4—32no—
670D4—42no—
671D4—61no—
672D4—61no—
673D4—61no—
674D4—122no—
675D4—122no—
676D4—124no—
677D4—121no—
678D4—121no—
679D4—121no—
680D4—121no—
681D4—242no—
682D4—242no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—62no—
694C2×C4—61no—
695C2×C4—62no—
696C2×C4—61no—
697C2×C4—124no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—241no—
704C2×C4—241no—
705C2×C4—242no—
706C2×C4—242no—
707C2×C4—241no—
708C2×C4—242no—
709C2×C4#88211yescharacteristic
710C2×C4#88211yescharacteristic
711C2×C4#88211yescharacteristic
712C2×C4C22×D1211yescharacteristic
713C2×C4C2×D3×D411yescharacteristic
714C2×C4C2×D3×D411yescharacteristic
715C8—41no—
716C8—41no—
717C8—41no—
718C8—41no—
719C8—121no—
720C8—121no—
721C2×C3—22no—
722C2×C3—81no—
723C2×C3#300211yescharacteristic
724C2×C3#301211yescharacteristic
725C2×C3C2×#45411yescharacteristic
726D3—42no—
727D3—81no—
728D3—161no—
729C22—21no—
730C22—21no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—62no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—244no—
741C22—241no—
742C22—241no—
743C22—241no—
744C22#482712yes—
745C22C2×#88211yescharacteristic
746C4—21no—
747C4—21no—
748C4—21no—
749C4—21no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—121no—
754C4—121no—
755C4—122no—
756C4—122no—
757C4—241no—
758C4#575111yescharacteristic
759C4#575211yescharacteristic
760C4D3×#13511yescharacteristic
761C4#576811yescharacteristic
762C3#1863811yescharacteristic, complemented, Sylow
763C2—22no—
764C2—81no—
765C2—122no—
766C2—241no—
767C2—481no—
768C2#7867211yescharacteristic
769C2#7883311yescharacteristic
770C2C2×#482711yescharacteristic
subgroupG/H
centerC22C2×#882
commutator, cosocleC3×C42C24
FrattiniC42C23×D3
FittingC3×#1494C2
socleC22×C3C2×#120
hypercenter#1494D3
hypocenterC3#18638
LCSG ▷ C3×C42 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1494

Complements

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

NH ≅ G/Ntype
1. #86167C2semidirect
2. #83148C2semidirect
3. #79343C2semidirect
4. #78463C2semidirect
5. C3×#1494C2semidirect
6. #70820C2semidirect
7. C2×#4459C2semidirect
8. #68269C2semidirect
9. #68266C2semidirect
10. #68247C2semidirect
11. #68245C2semidirect
12. #68204C2semidirect
13. #68200C2semidirect
14. #68181C2semidirect
15. #68180C2semidirect
42. #5027C22semidirect
43. #5021C22semidirect
44. #5015C22semidirect
45. #5008C22semidirect
56. #4694C22semidirect
57. #4694C22semidirect
58. #4681C22semidirect
59. #4681C22semidirect
60. C3×Q8⋊C8C22semidirect
61. C3×Q8⋊C8C22semidirect
62. C3×D4⋊C8C22semidirect
63. C3×D4⋊C8C22semidirect
64. #4486C22semidirect
65. #4486C22semidirect
66. #4482C22semidirect
67. #4482C22semidirect
85. #1494D3semidirect
239. Q8⋊C8C2×D3semidirect
240. Q8⋊C8C2×D3semidirect
245. D4⋊C8C2×D3semidirect
246. D4⋊C8C2×D3semidirect
762. C3#18638semidirect

Maximal subgroups

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

subgroupindex
#861672
#831482
#793432
#784632
C3×#14942
#708202
C2×#44592
#682692
#682662
#682472
#682452
#682042
#682002
#681812
#681802
#186383