Finite Group Databasebeta

← #25085944

Subgroups — #25085944

Order 11008.

842 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19146408C211yesmaximal, characteristic, complemented
2D4×#10621882C211yesmaximal, characteristic, complemented
3#19146196C211yesmaximal, characteristic, complemented
4#19134262C211yesmaximal, characteristic, complemented
5#19134071C211yesmaximal, characteristic, complemented
6#19134030C211yesmaximal, characteristic, complemented
7#19133948C211yesmaximal, characteristic, complemented
8#19133936C211yesmaximal, characteristic, complemented
9#19133774C211yesmaximal, characteristic, complemented
10#19133682C211yesmaximal, characteristic, complemented
11#19133649C211yesmaximal, characteristic, complemented
12#19133648C211yesmaximal, characteristic, complemented
13#19133424C211yesmaximal, characteristic, complemented
14#19133419C211yesmaximal, characteristic, complemented
15D4×D8×C43C211yesmaximal, characteristic, complemented
16C2×#13063349—21no—
17C22×#10621882—21no—
18#14583553C2211yescharacteristic, complemented
19D4×D172C2211yescharacteristic, complemented
20#14583275C2211yescharacteristic, complemented
21#14583275C2211yescharacteristic, complemented
22#14583272C2211yescharacteristic, complemented
23#14583245C2211yescharacteristic, complemented
24#14583245C2211yescharacteristic, complemented
25#14583210—21no—
26#14583179C2211yescharacteristic, complemented
27#14583146—21no—
28#14583133—21no—
29#14583133—21no—
30#14583104C2211yescharacteristic, complemented
31#14583094C2211yescharacteristic
32#14583094C2211yescharacteristic, complemented
33#14583091C2211yescharacteristic, complemented
34#14583091C2211yescharacteristic, complemented
35#14583051—21no—
36#14583045—21no—
37#14583033—21no—
38#14583033—21no—
39#14583032—21no—
40C4×#10621882C2211yescharacteristic
41#14582978C2211yescharacteristic, complemented
42D4×C43⋊C8C2211yescharacteristic, complemented
43D4×C43⋊C8C2211yescharacteristic, complemented
44C2×#13063246—21no—
45#14582651C2211yescharacteristic, complemented
46#14582650C2211yescharacteristic, complemented
47#14582646C2211yescharacteristic, complemented
48#14582643C2211yescharacteristic, complemented
49#14582643C2211yescharacteristic, complemented
50#14582642C2211yescharacteristic, complemented
51D4⋊(C43⋊C8)C2211yescharacteristic, complemented
52D4⋊(C43⋊C8)C2211yescharacteristic, complemented
53D4⋊(C43⋊C8)C2211yescharacteristic, complemented
54#14582626C2211yescharacteristic, complemented
55#14582620C2211yescharacteristic, complemented
56C22×D8×C43—21no—
57D42×C43C2211yescharacteristic
58D42×C43C2211yescharacteristic, complemented
59C43×#493C2211yescharacteristic, complemented
60C43×#466—21no—
61C43×#459C2211yescharacteristic
62C43×#459C2211yescharacteristic, complemented
63C43×#447—21no—
64C43×#447—21no—
65C4×D8×C43C2211yescharacteristic
66C8×D4×C43C2211yescharacteristic, complemented
67C2×#10621900—21no—
68C22×D172—21no—
69C2×D4×D43—21no—
70#13063349—44no—
71C2×#10621873—21no—
72C2×#10621873—21no—
73C2×#10621883—21no—
74C2×#10621882—21no—
75C2×#10621882—21no—
76C2×#10621882—21no—
77C2×#10621882—21no—
78C2×#10621882—21no—
79C2×#10621882—21no—
80C2×#10621882—41no—
81C2×#10621882—44no—
82C2×#10621882D411yescharacteristic
83C2×#10621872—21no—
84C22×C43⋊C8—21no—
85C22×C43⋊C8—21no—
86#13063325C2311yescharacteristic
87#13063322C2311yescharacteristic
88#13063309—41no—
89#13063305—21no—
90#13063300—21no—
91#13063299—21no—
92#13063299—21no—
93#13063295—41no—
94C4×D172C2311yescharacteristic
95C2×C4⋊Dic43—21no—
96#13063258—21no—
97#13063258D411yescharacteristic
98C4⋊(C43⋊C8)C2311yescharacteristic
99C4⋊(C43⋊C8)C2311yescharacteristic
100C4⋊(C43⋊C8)C2311yescharacteristic
101#13063248—21no—
102#13063246—21no—
103#13063246—21no—
104#13063246—21no—
105#13063246—21no—
106#13063246—21no—
107#13063246—41no—
108#13063246D411yescharacteristic
109#13063245—21no—
110#13063245—21no—
111#13063245D411yescharacteristic
112C22⋊(C43⋊C8)—21no—
113C22⋊(C43⋊C8)—21no—
114(C2×D43)⋊C8—21no—
115C4×C43⋊C8C2311yescharacteristic
116C4×C43⋊C8C2311yescharacteristic
117C22×D4×C43—21no—
118C22×D4×C43—21no—
119C22×D4×C43—21no—
120C22×D4×C43—21no—
121C2×D8×C43—21no—
122C2×D8×C43—21no—
123C2×D8×C43—21no—
124C2×D8×C43—21no—
125C2×D8×C43—44no—
126C2×D8×C43D411yescharacteristic
127C22×C8×C43—21no—
128#127×C43C2311yescharacteristic
129#127×C43C2311yescharacteristic
130#121×C43—21no—
131#121×C43—21no—
132#121×C43—21no—
133#121×C43—21no—
134#120×C43—41no—
135#120×C43—41no—
136C4×D4×C43C2311yescharacteristic
137C4×D4×C43C2311yescharacteristic
138C4×D4×C43C2311yescharacteristic
139#107×C43D411yescharacteristic
140C4⋊C8×C43C2311yescharacteristic
141#102×C43—21no—
142#102×C43—21no—
143#102×C43D411yescharacteristic
144#102×C43D411yescharacteristic
145C22⋊C8×C43—21no—
146C4×C8×C43C2311yescharacteristic
147C24×C43—41no—
148C24×C43—41no—
149C23×D43—41no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—41no—
157C2×D4×C43—41no—
158C2×D4×C43—41no—
159C2×D4×C43—41no—
160C2×D4×C43—42no—
161C2×D4×C43—42no—
162C2×D4×C43—42no—
163C2×D4×C43—42no—
164C2×D4×C43—81no—
165C2×D4×C43—81no—
166C2×D4×C43—81no—
167C2×D4×C43—81no—
168C2×D4×C43C2×D411yescharacteristic
169C2×D4×C43C2×D411yescharacteristic
170C2×D4×C43C2×D411yescharacteristic
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C2×C22⋊D43—41no—
175C2×C22⋊D43—41no—
176C22×Dic43—41no—
177#10621900—42no—
178#10621900—81no—
179D4×D43—42no—
180D4×D43—81no—
181C2×D172—21no—
182C2×D172—21no—
183C2×D172—21no—
184C2×D172—41no—
185C2×D172—42no—
186C2×D172—81no—
187C2×D172C2×D411yescharacteristic
188C2×C4×D43—21no—
189C2×Dic86—21no—
190D8×C43—42no—
191D8×C43—42no—
192D8×C43—42no—
193D8×C43—81no—
194D8×C43D814yescomplemented
195C2×C8×C43—21no—
196C2×C8×C43—42no—
197C2×C8×C43C2×D411yescharacteristic
198C2×C8×C43C2×D411yescharacteristic
199C4⋊C4×C43C2×D411yescharacteristic
200C4⋊C4×C43C2×D411yescharacteristic
201C4⋊C4×C43C2×D411yescharacteristic
202C22⋊C4×C43—21no—
203C22⋊C4×C43—21no—
204C22⋊C4×C43—21no—
205C22⋊C4×C43—41no—
206C22⋊C4×C43—41no—
207C42×C43C2411yescharacteristic
208#10621883—42no—
209#10621882—22no—
210#10621882—42no—
211#10621882—42no—
212#10621882—42no—
213#10621882—42no—
214#10621882—81no—
215#10621882—81no—
216#10621882—82no—
217(C2×D43)⋊C4—21no—
218(C2×D43)⋊C4—41no—
219(C2×D43)⋊C4—41no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—41no—
223C4⋊Dic43C2×D411yescharacteristic
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—42no—
229C2×C43⋊C8—81no—
230C2×C43⋊C8C2×D411yescharacteristic
231C2×C43⋊C8C2×D411yescharacteristic
232#10621873—42no—
233#10621873—81no—
234#10621872—42no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—82no—
241C23×C43—82no—
242C23×C43—82no—
243C23×C43—82no—
244C23×C43—161no—
245C23×C43—161no—
246C22×D43—21no—
247C22×D43—41no—
248C22×D43—82no—
249C22×D43—82no—
250C22×D43—161no—
251D4×C43—21no—
252D4×C43—21no—
253D4×C43—21no—
254D4×C43—41no—
255D4×C43—41no—
256D4×C43—41no—
257D4×C43—41no—
258D4×C43—41no—
259D4×C43—41no—
260D4×C43—41no—
261D4×C43—41no—
262D4×C43—81no—
263D4×C43—81no—
264D4×C43—82no—
265D4×C43—82no—
266D4×C43—82no—
267D4×C43—82no—
268D4×C43C2×D812yes—
269D4×C43C2×D812yescomplemented
270D4×C43AGL(1,ℤ/8)12yescomplemented
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C22⋊D43—82no—
284C22⋊D43—82no—
285C2×Dic43—21no—
286C2×Dic43—41no—
287C2×Dic43—82no—
288D172—21no—
289D172—21no—
290D172—41no—
291D172—41no—
292D172—41no—
293D172—41no—
294D172—81no—
295D172—82no—
296C4×D43—41no—
297C4×D43—41no—
298Dic86—41no—
299Dic86—41no—
300C8×C43—21no—
301C8×C43—41no—
302C8×C43C2×D812yescomplemented
303C43⋊C8—21no—
304C43⋊C8—21no—
305C43⋊C8—41no—
306C43⋊C8—41no—
307C43⋊C8—41no—
308C43⋊C8—41no—
309#19755—431nomaximal, Sylow
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—81no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—164no—
326C22×C43—164no—
327C22×C43D4211yescharacteristic
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—41no—
331C2×D43—81no—
332C2×D43—81no—
333C2×D43—81no—
334C2×D43—164no—
335C4×C43—21no—
336C4×C43—41no—
337C4×C43—41no—
338C4×C43—41no—
339C4×C43C22×D811yescharacteristic
340C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
341C4×C43#57611yescharacteristic
342C4×C43#57611yescharacteristic
343Dic43—41no—
344Dic43—81no—
345#3294—431no—
346D4×D8—431no—
347D4×D8D4311yescharacteristic, complemented
348#3272—431no—
349#1721—431no—
350#1687—431no—
351#1681—431no—
352#1667—431no—
353#1665—431no—
354#1639—431no—
355#1625—431no—
356#1619—431no—
357#1619—431no—
358#1581—431no—
359#1580—431no—
360C2×C43—42no—
361C2×C43—42no—
362C2×C43—42no—
363C2×C43—161no—
364C2×C43—161no—
365C2×C43#326411yescharacteristic
366C2×C43D4×D811yescharacteristic
367C2×C43#328811yescharacteristic
368D43—81no—
369D43—161no—
370C2×AGL(1,ℤ/8)—861no—
371C22×D8—21no—
372C22×D8—861no—
373#547—431no—
374D42—431no—
375D42C2×D4311yescharacteristic
376D42C2×D4311yescharacteristic, complemented
377#493—431no—
378#493—431no—
379#493C2×D4311yescharacteristic, complemented
380#492—431no—
381#486—431no—
382#486—431no—
383#480—861no—
384#474—431no—
385#468—861no—
386#466—21no—
387#466—861no—
388#466—861no—
389#461—431no—
390#459—431no—
391#459—431no—
392#459—431no—
393#459—431no—
394#459C2×D4311yescharacteristic
395#459C2×D4311yescharacteristic, complemented
396#450—861no—
397#449—861no—
398#447—21no—
399#447—21no—
400#447—861no—
401#447—861no—
402#447—861no—
403C4×D8—431no—
404C4×D8C2×D4311yescharacteristic
405#436—431no—
406C8×D4—431no—
407C8×D4—431no—
408C8×D4C2×D4311yescharacteristic, complemented
409C2×#102—861no—
410#335—431no—
411#334—431no—
412#332—431no—
413#331—431no—
414#331—431no—
415#331—431no—
416D4⋊C8—431no—
417D4⋊C8—431no—
418D4⋊C8—431no—
419D4⋊C8—431no—
420#322—431no—
421C43#1975511yescharacteristic, complemented, Sylow
422C2×#41—861no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—861no—
428C22×D4—861no—
429AGL(1,ℤ/8)—1724no—
430C2×SD16—861no—
431C2×SD16—861no—
432C2×SD16—861no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—44no—
438C2×D8—431no—
439C2×D8—861no—
440C2×D8—861no—
441C2×D8—861no—
442C2×D8—861no—
443C2×D8—861no—
444C2×D8—861no—
445C2×D8—1721no—
446C2×D8—1724no—
447C2×D8C22⋊D4311yescharacteristic
448C2×M16—861no—
449C22×C8—21no—
450C22×C8—861no—
451C22×C8—861no—
452C4⋊Q8—431no—
453#127—431no—
454#127C22×D4311yescharacteristic
455#127C22×D4311yescharacteristic
456#123—1721no—
457C22⋊Q8—861no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—861no—
463#121—861no—
464#121—861no—
465#120—41no—
466#120—41no—
467#120—1721no—
468C4×D4—431no—
469C4×D4C22×D4311yescharacteristic
470C4×D4C22×D4311yescharacteristic
471C4×D4C22×D4311yescharacteristic
472C2×C4⋊C4—861no—
473#107—431no—
474#107—861no—
475#107C22⋊D4311yescharacteristic
476C4⋊C8—431no—
477C4⋊C8—431no—
478C4⋊C8—431no—
479C4⋊C8C22×D4311yescharacteristic
480#103—861no—
481#102—21no—
482#102—21no—
483#102—431no—
484#102—431no—
485#102—861no—
486#102—861no—
487#102—861no—
488#102—861no—
489#102—861no—
490#102—861no—
491#102—861no—
492#102—1721no—
493#102C22⋊D4311yescharacteristic
494#102C22⋊D4311yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—861no—
497C22⋊C8—861no—
498C22⋊C8—861no—
499C4×C8—431no—
500C4×C8—431no—
501C4×C8C22×D4311yescharacteristic
502C24—41no—
503C24—41no—
504C24—1721no—
505#41—3441no—
506#41—1722no—
507C2×Q8—861no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—81no—
523C2×D4—81no—
524C2×D4—81no—
525C2×D4—81no—
526C2×D4—431no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—861no—
530C2×D4—3441no—
531C2×D4—3441no—
532C2×D4—1721no—
533C2×D4—1722no—
534C2×D4—1721no—
535C2×D4—1721no—
536C2×D4—1722no—
537C2×D4D4×D4311yescharacteristic
538C2×D4C2×C22⋊D4311yescharacteristic
539C2×D4C2×C22⋊D4311yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—861no—
544C22×C4—1721no—
545SD16—3441no—
546SD16—1722no—
547SD16—1722no—
548D8—42no—
549D8—42no—
550D8—42no—
551D8—81no—
552D8—862no—
553D8—3441no—
554D8—3441no—
555D8—3442no—
556D8—1722no—
557D8—1722no—
558D8—1722no—
559D8—1722no—
560D8#1062188214yescomplemented
561M16—1722no—
562C2×C8—21no—
563C2×C8—42no—
564C2×C8—431no—
565C2×C8—431no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—3441no—
571C2×C8—1722no—
572C2×C8C2×C22⋊D4311yescharacteristic
573C2×C8C2×C22⋊D4311yescharacteristic
574C4⋊C4—431no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—1721no—
578C4⋊C4D4×D4311yescharacteristic
579C4⋊C4C2×C22⋊D4311yescharacteristic
580C4⋊C4C2×C22⋊D4311yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—861no—
587C22⋊C4—1721no—
588C22⋊C4—1721no—
589C42C23×D4311yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—82no—
596C23—82no—
597C23—82no—
598C23—82no—
599C23—161no—
600C23—161no—
601C23—861no—
602C23—3442no—
603C23—3442no—
604C23—1721no—
605C23—6881no—
606Q8—1721no—
607Q8—1721no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—81no—
620D4—81no—
621D4—82no—
622D4—82no—
623D4—82no—
624D4—82no—
625D4—861no—
626D4—861no—
627D4—3441no—
628D4—3442no—
629D4—3442no—
630D4—3442no—
631D4—1721no—
632D4—1721no—
633D4—1721no—
634D4—1721no—
635D4C2×#1062188212yes—
636D4C2×#1062188212yescomplemented
637D4#1306334912yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—861no—
648C2×C4—3442no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4C22×C22⋊D4311yescharacteristic
654C2×C4#1306337011yescharacteristic
655C8—21no—
656C8—41no—
657C8—861no—
658C8—861no—
659C8—1721no—
660C8—1721no—
661C8—1721no—
662C8—1721no—
663C8C2×#1062188212yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—164no—
680C22—164no—
681C22—3441no—
682C22—3441no—
683C22—3441no—
684C22—1721no—
685C22—1721no—
686C22—1721no—
687C22—6884no—
688C22D4×C22⋊D4311yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—3441no—
694C4—1721no—
695C4C22×#1062188211yescharacteristic
696C4C2×#1306334911yescharacteristic
697C4#1458370011yescharacteristic
698C4#1458370211yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—161no—
703C2—161no—
704C2—3441no—
705C2—6881no—
706C2#1914607511yescharacteristic
707C2D4×#1062188211yescharacteristic
708C2#1914635911yescharacteristic
subgroupG/H
centerC22D4×C22⋊D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingD4×D8×C43C2
socleC22×C43D42
hypercenterD4×D8D43
hypocenterC43#19755
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ D4×D8

Complements

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

NH ≅ G/Ntype
1. #19146408C2semidirect
2. D4×#10621882C2semidirect
3. #19146196C2semidirect
4. #19134262C2semidirect
5. #19134071C2semidirect
6. #19134030C2semidirect
7. #19133948C2semidirect
8. #19133936C2semidirect
9. #19133774C2semidirect
10. #19133682C2semidirect
11. #19133649C2semidirect
12. #19133648C2semidirect
13. #19133424C2semidirect
14. #19133419C2semidirect
15. D4×D8×C43C2semidirect
18. #14583553C22semidirect
19. D4×D172C22semidirect
20. #14583275C22semidirect
21. #14583275C22semidirect
22. #14583272C22semidirect
23. #14583245C22semidirect
24. #14583245C22semidirect
26. #14583179C22semidirect
30. #14583104C22semidirect
32. #14583094C22semidirect
33. #14583091C22semidirect
34. #14583091C22semidirect
41. #14582978C22semidirect
42. D4×C43⋊C8C22semidirect
43. D4×C43⋊C8C22semidirect
45. #14582651C22semidirect
46. #14582650C22semidirect
47. #14582646C22semidirect
48. #14582643C22semidirect
49. #14582643C22semidirect
50. #14582642C22semidirect
51. D4⋊(C43⋊C8)C22semidirect
52. D4⋊(C43⋊C8)C22semidirect
53. D4⋊(C43⋊C8)C22semidirect
54. #14582626C22semidirect
55. #14582620C22semidirect
58. D42×C43C22semidirect
59. C43×#493C22semidirect
62. C43×#459C22semidirect
66. C8×D4×C43C22semidirect
194. D8×C43D8semidirect
269. D4×C43C2×D8semidirect
270. D4×C43AGL(1,ℤ/8)semidirect
302. C8×C43C2×D8semidirect
347. D4×D8D43semidirect
376. D42C2×D43semidirect
379. #493C2×D43semidirect
395. #459C2×D43semidirect
408. C8×D4C2×D43semidirect
421. C43#19755semidirect
560. D8#10621882semidirect
636. D4C2×#10621882semidirect
637. D4#13063349semidirect
663. C8C2×#10621882semidirect

Maximal subgroups

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

subgroupindex
#191464082
D4×#106218822
#191461962
#191342622
#191340712
#191340302
#191339482
#191339362
#191337742
#191336822
#191336492
#191336482
#191334242
#191334192
D4×D8×C432
#1975543