Finite Group Databasebeta

← #35421693

Subgroups — #35421693

Order 21248.

1038 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24910332C211yesmaximal, characteristic, complemented
2#24910293C211yesmaximal, characteristic
3#24908155C211yesmaximal, characteristic, complemented
4#24908141C211yesmaximal, characteristic, complemented
5#24908106C211yesmaximal, characteristic, complemented
6#24908099C211yesmaximal, characteristic, complemented
7#24907726C211yesmaximal, characteristic, complemented
8#24907712C211yesmaximal, characteristic, complemented
9#24907553C211yesmaximal, characteristic, complemented
10#24907496C211yesmaximal, characteristic, complemented
11#24907403C211yesmaximal, characteristic
12#24907290C211yesmaximal, characteristic, complemented
13#102×Dic83C211yesmaximal, characteristic, complemented
14#24907244C211yesmaximal, characteristic, complemented
15C2×#417×C83C211yesmaximal, characteristic
16C2×D4×Dic83C2211yescharacteristic
17C2×D4×Dic83C2211yescharacteristic
18C2×#14581751—21no—
19C2×#14581726C2211yescharacteristic
20C2×#14581724C2211yescharacteristic
21C2×#14581716C2211yescharacteristic
22C2×#14581716C2211yescharacteristic
23C2×#14581713C2211yescharacteristic
24C2×#14581713C2211yescharacteristic
25C2×C22⋊(C83⋊C8)C2211yescharacteristic
26C2×#14581702C2211yescharacteristic
27C2×C8×Dic83C2211yescharacteristic
28#19127608C2211yescharacteristic
29#19127608C2211yescharacteristic
30#19127600C2211yescharacteristic
31#19127600C2211yescharacteristic
32#19127587—21no—
33#19127587—21no—
34#19127581—21no—
35#19127581—21no—
36#19127564—21no—
37#19127564—21no—
38#19127561C2211yescharacteristic
39#19127561C2211yescharacteristic
40C4⋊C4×Dic83C2211yescharacteristic
41C4⋊C4×Dic83C2211yescharacteristic
42C4×C22⋊Dic83C2211yescharacteristic
43C2×C83⋊#95—21no—
44#19127464C2211yescharacteristic
45#19127464C2211yescharacteristic
46#19127463C2211yescharacteristic
47#19127463C2211yescharacteristic
48#19127463C2211yescharacteristic
49#19127463C2211yescharacteristic
50#19127455C2211yescharacteristic
51#19127455C2211yescharacteristic
52C22×#41×C83C2211yescharacteristic
53C22×M16×C83C2211yescharacteristic
54C22×C4⋊C4×C83C2211yescharacteristic
55#417×C83C418yescomplemented
56C2×#103×C83C2211yescharacteristic
57C2×#103×C83C2211yescharacteristic
58C2×#102×C83C2211yescharacteristic
59C2×#102×C83C2211yescharacteristic
60C23×Dic83—21no—
61C23×Dic83—21no—
62C22×C83⋊C8C2311yescharacteristic
63C22×C83⋊C8C2311yescharacteristic
64D4×Dic83—22no—
65D4×Dic83—22no—
66D4×Dic83—41no—
67D4×Dic83—41no—
68#14581751—44no—
69C2×C4⋊Dic83—21no—
70C2×C4⋊Dic83—21no—
71C2×C4⋊Dic83C2311yescharacteristic
72C2×C4⋊Dic83C2311yescharacteristic
73C2×C4⋊Dic83C2311yescharacteristic
74C2×C4⋊Dic83C2311yescharacteristic
75C2×C22⋊Dic83—21no—
76C2×C22⋊Dic83—21no—
77C2×C22⋊Dic83—21no—
78C2×C22⋊Dic83—21no—
79C2×C22⋊Dic83D411yescharacteristic
80C2×C22⋊Dic83D411yescharacteristic
81C2×C4×Dic83—21no—
82C2×C4×Dic83—21no—
83C2×C4×Dic83C2311yescharacteristic
84C2×C4×Dic83C2311yescharacteristic
85#14581726—41no—
86#14581724—41no—
87#14581716—41no—
88#14581716—41no—
89#14581713—22no—
90#14581713—22no—
91C22⋊(C83⋊C8)—22no—
92#14581702—41no—
93C8×Dic83—41no—
94C83⋊#95—21no—
95C83⋊#95—21no—
96C83⋊#95—21no—
97C83⋊#95—21no—
98C83⋊#95—21no—
99C83⋊#95—21no—
100C83⋊#95—21no—
101C83⋊#95—21no—
102C83⋊#95—21no—
103C83⋊#95—21no—
104C83⋊#95D411yescharacteristic
105C83⋊#95D411yescharacteristic
106C2×#41×C83—22no—
107C2×#41×C83—22no—
108C2×#41×C83—22no—
109C2×#41×C83—41no—
110C2×#41×C83—41no—
111C2×#41×C83C2×C414yes—
112C22×Q8×C83C2311yescharacteristic
113C22×D4×C83—21no—
114C22×D4×C83C2311yescharacteristic
115C23×C4×C83—21no—
116C23×C4×C83—21no—
117C23×C4×C83C2311yescharacteristic
118C2×M16×C83—41no—
119C2×M16×C83—41no—
120C2×M16×C83C2×C414yescomplemented
121C22×C8×C83C2311yescharacteristic
122C22×C8×C83C2311yescharacteristic
123C2×C4⋊C4×C83—21no—
124C2×C4⋊C4×C83—22no—
125C2×C4⋊C4×C83C2×C414yescomplemented
126C2×C4⋊C4×C83C2311yescharacteristic
127C2×C4⋊C4×C83C2311yescharacteristic
128#103×C83C2×C414yescomplemented
129#103×C83C2×C414yescomplemented
130#102×C83C2×C414yes—
131#102×C83C2×C414yes—
132C22×Dic83—21no—
133C22×Dic83—21no—
134C22×Dic83—21no—
135C22×Dic83—21no—
136C22×Dic83—42no—
137C22×Dic83—42no—
138C22×Dic83—42no—
139C22×Dic83—42no—
140C22×Dic83—81no—
141C22×Dic83—81no—
142C22×Dic83C2×D411yescharacteristic
143C22×Dic83C2×D411yescharacteristic
144C22×Dic83C2×D411yescharacteristic
145C22×Dic83C2×D411yescharacteristic
146C2×C83⋊C8—21no—
147C2×C83⋊C8—21no—
148C2×C83⋊C8—21no—
149C2×C83⋊C8—21no—
150C2×C83⋊C8—21no—
151C2×C83⋊C8—21no—
152C4⋊Dic83—21no—
153C4⋊Dic83—21no—
154C4⋊Dic83—21no—
155C4⋊Dic83—21no—
156C4⋊Dic83—21no—
157C4⋊Dic83—21no—
158C4⋊Dic83—21no—
159C4⋊Dic83—21no—
160C4⋊Dic83—42no—
161C4⋊Dic83—42no—
162C22⋊Dic83—22no—
163C22⋊Dic83—41no—
164C22⋊Dic83—42no—
165C22⋊Dic83—42no—
166C22⋊Dic83—42no—
167C22⋊Dic83—81no—
168C4×Dic83—21no—
169C4×Dic83—21no—
170C4×Dic83—21no—
171C4×Dic83—21no—
172C4×Dic83—42no—
173C4×Dic83—42no—
174C24×C83—21no—
175C24×C83C2×D411yescharacteristic
176#41×C83—28no—
177#41×C83—44no—
178#41×C83—44no—
179#41×C83—44no—
180C2×Q8×C83—21no—
181C2×Q8×C83—21no—
182C2×Q8×C83—21no—
183C2×Q8×C83—21no—
184C2×Q8×C83—21no—
185C2×Q8×C83C22×C412yes—
186C2×D4×C83—24no—
187C2×D4×C83—21no—
188C2×D4×C83—21no—
189C2×D4×C83—21no—
190C2×D4×C83—42no—
191C2×D4×C83—42no—
192C2×D4×C83C22×C412yes—
193C2×D4×C83#4112yes—
194C2×D4×C83#4112yes—
195C22×C4×C83—21no—
196C22×C4×C83—21no—
197C22×C4×C83—21no—
198C22×C4×C83—21no—
199C22×C4×C83—24no—
200C22×C4×C83—21no—
201C22×C4×C83—21no—
202C22×C4×C83—21no—
203C22×C4×C83—24no—
204C22×C4×C83—42no—
205C22×C4×C83—42no—
206C22×C4×C83—42no—
207C22×C4×C83—42no—
208C22×C4×C83C22×C412yes—
209C22×C4×C83C2×D411yescharacteristic
210C22×C4×C83#4112yes—
211C22×C4×C83C2411yescharacteristic
212M16×C83—44no—
213C2×C8×C83—21no—
214C2×C8×C83—21no—
215C2×C8×C83—21no—
216C2×C8×C83—21no—
217C2×C8×C83C22×C412yes—
218C2×C8×C83C22×C412yes—
219C4⋊C4×C83—24no—
220C4⋊C4×C83—21no—
221C4⋊C4×C83—21no—
222C4⋊C4×C83C22×C412yes—
223C4⋊C4×C83C22×C412yes—
224C23×C83—22no—
225C23×C83—21no—
226C23×C83—21no—
227C23×C83—22no—
228C23×C83—22no—
229C23×C83—21no—
230C23×C83—21no—
231C23×C83—21no—
232C23×C83—21no—
233C23×C83—41no—
234C23×C83—41no—
235C23×C83—41no—
236C23×C83—41no—
237C23×C83C4×D412yes—
238C23×C83C22×D411yescharacteristic
239Q8×C83—22no—
240Q8×C83—22no—
241Q8×C83—41no—
242Q8×C83—41no—
243D4×C83—22no—
244D4×C83—22no—
245D4×C83—22no—
246D4×C83—48no—
247D4×C83#11714yescomplemented
248C2×C4×C83—21no—
249C2×C4×C83—21no—
250C2×C4×C83—22no—
251C2×C4×C83—22no—
252C2×C4×C83—22no—
253C2×C4×C83—22no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—22no—
257C2×C4×C83—48no—
258C2×C4×C83—48no—
259C2×C4×C83—41no—
260C2×C4×C83—41no—
261C2×C4×C83—41no—
262C2×C4×C83—41no—
263C2×C4×C83—41no—
264C2×C4×C83—41no—
265C2×C4×C83C4×D412yes—
266C2×C4×C83C23×C411yescharacteristic
267C2×C4×C83C2×#4111yescharacteristic
268C2×C4×C83C2×#4111yescharacteristic
269C2×C4×C83C2×#4111yescharacteristic
270C2×C4×C83H(5,𝔽2)11yescharacteristic
271C2×C4×C83H(5,𝔽2)11yescharacteristic
272C2×Dic83—21no—
273C2×Dic83—21no—
274C2×Dic83—21no—
275C2×Dic83—21no—
276C2×Dic83—21no—
277C2×Dic83—21no—
278C2×Dic83—21no—
279C2×Dic83—21no—
280C2×Dic83—21no—
281C2×Dic83—21no—
282C2×Dic83—21no—
283C2×Dic83—41no—
284C2×Dic83—41no—
285C2×Dic83—41no—
286C2×Dic83—41no—
287C2×Dic83—41no—
288C2×Dic83—41no—
289C2×Dic83—41no—
290C2×Dic83—41no—
291C2×Dic83—41no—
292C2×Dic83—41no—
293C2×Dic83—41no—
294C2×Dic83—41no—
295C2×Dic83—84no—
296C2×Dic83—84no—
297C2×Dic83AGL(1,ℤ/8)12yes—
298C8×C83—22no—
299C8×C83—22no—
300C83⋊C8—41no—
301C83⋊C8—41no—
302C22×C83—22no—
303C22×C83—24no—
304C22×C83—22no—
305C22×C83—22no—
306C22×C83—41no—
307C22×C83—42no—
308C22×C83—42no—
309C22×C83—42no—
310C22×C83—42no—
311C22×C83—41no—
312C22×C83—41no—
313C22×C83—42no—
314C22×C83—42no—
315C22×C83—41no—
316C22×C83C2×C4×D411yescharacteristic
317C22×C83#54611yescharacteristic
318C22×C83#54611yescharacteristic
319C22×C83C2×AGL(1,ℤ/8)11yescharacteristic
320C22×C83#57511yescharacteristic
321C22×C83#57711yescharacteristic
322C22×C83#57811yescharacteristic
323C4×C83—22no—
324C4×C83—42no—
325C4×C83—42no—
326C4×C83—42no—
327C4×C83C2×#11711yescharacteristic
328C4×C83#51811yescharacteristic
329C4×C83#55111yescharacteristic
330C4×C83#55111yescharacteristic
331Dic83—22no—
332Dic83—41no—
333Dic83—41no—
334Dic83—41no—
335Dic83—81no—
336Dic83—81no—
337Dic83—81no—
338Dic83—81no—
339#22582—831nomaximal, Sylow
340C2×C83—42no—
341C2×C83—44no—
342C2×C83#234211yescharacteristic
343C2×C83C4×AGL(1,ℤ/8)11yescharacteristic
344C2×C83#294711yescharacteristic
345C2×C83#330611yescharacteristic
346C2×C83#331511yescharacteristic
347C2×C83#332311yescharacteristic
348C2×C83#333011yescharacteristic
349C2×#417D8311yescharacteristic
350#2344—831no—
351#2339—831no—
352#1935—831no—
353#1933—831no—
354#1928—831no—
355#1927—831no—
356#1864—831no—
357#1862—831no—
358#1824—831no—
359#1809—831no—
360#1788—831no—
361#1762—831no—
362C4×#102—831no—
363#1753—831no—
364C83#2258211yescharacteristic, complemented, Sylow
365C22×#41C2×D8311yescharacteristic
366C22×M16C2×D8311yescharacteristic
367C2×C4×D4—831no—
368C2×C4×D4—831no—
369C2×#117—1661no—
370C22×C4⋊C4C2×D8311yescharacteristic
371C2×#107—831no—
372C2×#106—831no—
373#417Dic8318yescomplemented
374C2×#103—831no—
375C2×#103—831no—
376C2×#103C2×D8311yescharacteristic
377C2×#103C2×D8311yescharacteristic
378C2×#102—831no—
379C2×#102—831no—
380C2×#102C2×D8311yescharacteristic
381C2×#102C2×D8311yescharacteristic
382C2×C22⋊C8—831no—
383C2×#97—831no—
384C2×C4×C8—831no—
385#391—831no—
386#391—831no—
387#389—831no—
388#389—831no—
389#387—1661no—
390#387—1661no—
391#386—1661no—
392#386—1661no—
393#381—1661no—
394#381—1661no—
395#380—831no—
396#380—831no—
397C4×C4⋊C4—831no—
398C4×C4⋊C4—831no—
399C4×C22⋊C4—831no—
400C2×#95—1661no—
401#340—831no—
402#340—831no—
403#340—831no—
404#340—831no—
405#340—831no—
406#340—831no—
407#336—831no—
408#336—831no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—41no—
413C2×#41—41no—
414C2×#41C2×Dic8314yes—
415C22×Q8C22×D8311yescharacteristic
416C22×D4—21no—
417C22×D4C22×D8311yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—1661no—
421C23×C4—1661no—
422C23×C4C22×D8311yescharacteristic
423C2×M16—41no—
424C2×M16—41no—
425C2×M16C2×Dic8314yescomplemented
426C22×C8—831no—
427C22×C8—831no—
428C22×C8C22×D8311yescharacteristic
429C22×C8C22×D8311yescharacteristic
430C4×D4—3321no—
431C4×D4—3321no—
432C4×D4—1662no—
433C4×D4—1662no—
434#117—3324no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—831no—
438C2×C4⋊C4—831no—
439C2×C4⋊C4—831no—
440C2×C4⋊C4—831no—
441C2×C4⋊C4—1661no—
442C2×C4⋊C4—1661no—
443C2×C4⋊C4C2×Dic8314yescomplemented
444C2×C4⋊C4C22×D8311yescharacteristic
445C2×C4⋊C4C22×D8311yescharacteristic
446C2×C22⋊C4—831no—
447C2×C22⋊C4—831no—
448C2×C22⋊C4—1661no—
449C2×C22⋊C4—1661no—
450C2×C22⋊C4—1661no—
451C2×C22⋊C4—1661no—
452C2×C42—831no—
453C2×C42—831no—
454C2×C42—1661no—
455C2×C42—1661no—
456#107—3321no—
457#106—3321no—
458#103—3321no—
459#103—3321no—
460#103C2×Dic8314yescomplemented
461#103C2×Dic8314yescomplemented
462#102—1662no—
463#102—1662no—
464#102C2×Dic8314yes—
465#102C2×Dic8314yes—
466C22⋊C8—1662no—
467#97—3321no—
468C4×C8—3321no—
469#95—831no—
470#95—831no—
471#95—1661no—
472#95—1661no—
473#95—1661no—
474#95—1661no—
475#95—1661no—
476#95—1661no—
477#95—1661no—
478#95—1661no—
479#95—1661no—
480#95—1661no—
481C24—21no—
482C24D4×D8311yescharacteristic
483#41—28no—
484#41—44no—
485#41—44no—
486#41—44no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C22×Dic8312yes—
493C2×D4—24no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4C22×Dic8312yes—
500C2×D4#1305059012yes—
501C2×D4#1305059012yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—3322no—
516C22×C4—3322no—
517C22×C4—3322no—
518C22×C4—3322no—
519C22×C4—831no—
520C22×C4—831no—
521C22×C4—831no—
522C22×C4—831no—
523C22×C4—6641no—
524C22×C4—6641no—
525C22×C4—1661no—
526C22×C4—1661no—
527C22×C4—1661no—
528C22×C4—1661no—
529C22×C4C22×Dic8312yes—
530C22×C4D4×D8311yescharacteristic
531C22×C4#1305058912yes—
532C22×C4C23×D8311yescharacteristic
533M16—44no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—1661no—
539C2×C8—1661no—
540C2×C8—1661no—
541C2×C8—1661no—
542C2×C8—1661no—
543C2×C8—1661no—
544C2×C8C22×Dic8312yes—
545C2×C8C22×Dic8312yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—24no—
549C4⋊C4—3322no—
550C4⋊C4—3322no—
551C4⋊C4—1661no—
552C4⋊C4—1661no—
553C4⋊C4—1661no—
554C4⋊C4—1661no—
555C4⋊C4—1661no—
556C4⋊C4—1661no—
557C4⋊C4—1661no—
558C4⋊C4—1661no—
559C4⋊C4C22×Dic8312yes—
560C4⋊C4C22×Dic8312yes—
561C22⋊C4—3322no—
562C22⋊C4—3322no—
563C22⋊C4—3322no—
564C22⋊C4—3321no—
565C22⋊C4—6641no—
566C22⋊C4—1662no—
567C42—3322no—
568C42—3322no—
569C42—1661no—
570C42—1661no—
571C42—1661no—
572C42—1661no—
573C23—22no—
574C23—22no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23D4×Dic8312yes—
587C23C2×D4×D8311yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—41no—
591Q8—41no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4—48no—
596D4#1458175114yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—48no—
607C2×C4—48no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—3321no—
615C2×C4—3321no—
616C2×C4—3321no—
617C2×C4—3321no—
618C2×C4—3321no—
619C2×C4—3321no—
620C2×C4—3321no—
621C2×C4—3321no—
622C2×C4—3321no—
623C2×C4—3321no—
624C2×C4—3321no—
625C2×C4—3321no—
626C2×C4—832no—
627C2×C4—6644no—
628C2×C4—6644no—
629C2×C4—1661no—
630C2×C4—1661no—
631C2×C4—1661no—
632C2×C4—1661no—
633C2×C4—1661no—
634C2×C4—1661no—
635C2×C4—1661no—
636C2×C4—1661no—
637C2×C4—1661no—
638C2×C4—1661no—
639C2×C4—1661no—
640C2×C4D4×Dic8312yes—
641C2×C4C23×Dic8311yescharacteristic
642C2×C4C2×#1305058911yescharacteristic
643C2×C4C2×#1305059011yescharacteristic
644C2×C4C2×#1305059011yescharacteristic
645C2×C4#1458183711yescharacteristic
646C2×C4#1458183711yescharacteristic
647C8—22no—
648C8—22no—
649C8—3321no—
650C8—3321no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—24no—
655C22—41no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—41no—
664C22—42no—
665C22C2×D4×Dic8311yescharacteristic
666C22#1912834111yescharacteristic
667C22#1912834111yescharacteristic
668C22AGL(1,ℤ/8)×D8311yescharacteristic
669C22#1912849711yescharacteristic
670C22#1912851011yescharacteristic
671C22#1912851711yescharacteristic
672C4—22no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—3321no—
677C4—3321no—
678C4—3321no—
679C4—6641no—
680C4—6641no—
681C4—6641no—
682C4—6641no—
683C4—1662no—
684C4C2×#1458175111yescharacteristic
685C4#1912817611yescharacteristic
686C4#1912837711yescharacteristic
687C4#1912837711yescharacteristic
688C2—42no—
689C2—44no—
690C2#2491031211yescharacteristic
691C2AGL(1,ℤ/8)×Dic8311yescharacteristic
692C2#2491630711yescharacteristic
693C2#2491942511yescharacteristic
694C2#2491956011yescharacteristic
695C2#2491968011yescharacteristic
696C2#2491976411yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC2×#417×C83C2
socleC23×C83C22×D4
prime radicalC22×#41×C83C22
cosocleC22×C4×C83C24
hypercenterC2×#417D83
hypocenterC83#22582
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
1. #24910332C2semidirect
3. #24908155C2semidirect
4. #24908141C2semidirect
5. #24908106C2semidirect
6. #24908099C2semidirect
7. #24907726C2semidirect
8. #24907712C2semidirect
9. #24907553C2semidirect
10. #24907496C2semidirect
12. #24907290C2semidirect
13. #102×Dic83C2semidirect
14. #24907244C2semidirect
55. #417×C83C4semidirect
120. C2×M16×C83C2×C4semidirect
125. C2×C4⋊C4×C83C2×C4semidirect
128. #103×C83C2×C4semidirect
129. #103×C83C2×C4semidirect
247. D4×C83#117semidirect
364. C83#22582semidirect
373. #417Dic83semidirect
425. C2×M16C2×Dic83semidirect
443. C2×C4⋊C4C2×Dic83semidirect
460. #103C2×Dic83semidirect
461. #103C2×Dic83semidirect
596. D4#14581751semidirect

Maximal subgroups

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

subgroupindex
#249103322
#249102932
#249081552
#249081412
#249081062
#249080992
#249077262
#249077122
#249075532
#249074962
#249074032
#249072902
#102×Dic832
#249072442
C2×#417×C832
#2258283