Finite Group Databasebeta

← #548×Dic83 #35564232

Subgroups — #548×Dic83 #35564232

Order 21248.

3232 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic83C211yesmaximal, characteristic, complemented
2C22×Q8×Dic83C211yesmaximal, characteristic, complemented
3#24910538C213yesmaximal, complemented
4#24910494C213yesmaximal, complemented
5#24910483C213yesmaximal, complemented
6#24910392C213yesmaximal, complemented
7#24910384C211yesmaximal, characteristic, complemented
8#24910304C211yesmaximal, characteristic, complemented
9Q8×C22⋊Dic83C211yesmaximal, characteristic, complemented
10#124×Dic83C213yesmaximal, complemented
11C22⋊Q8×Dic83C213yesmaximal, complemented
12#121×Dic83C213yesmaximal, complemented
13C4×Q8×Dic83C211yesmaximal, characteristic, complemented
14C4×D4×Dic83C213yesmaximal, complemented
15C2×#548×C83C211yesmaximal, characteristic
16#41×Dic83—28no—
17C2×Q8×Dic83—28no—
18C2×Q8×Dic83C2211yescharacteristic
19C2×Q8×Dic83C2211yescharacteristic
20C2×Q8×Dic83C2213yes—
21C2×Q8×Dic83C2213yes—
22C2×Q8×Dic83C2211yescharacteristic
23C2×Q8×Dic83C2211yescharacteristic
24C2×D4×Dic83C2213yes—
25C2×D4×Dic83C2213yes—
26C2×D4×Dic83C2213yes—
27C2×D4×Dic83C2213yes—
28C2×#14581751C2213yes—
29C22×C4⋊Dic83C2213yes—
30C22×C4×Dic83C2213yes—
31C22×C4×Dic83C2213yes—
32#19127608C2213yes—
33#19127608C2213yes—
34#19127604C2213yes—
35#19127604C2213yes—
36#19127600C2213yes—
37#19127600C2213yes—
38#19127594C2216yes—
39#19127594C2216yes—
40#19127594C2216yes—
41#19127587C2216yes—
42#19127581C2216yes—
43#19127576C2216yes—
44#19127567C2213yes—
45#19127561C2213yes—
46#19127561C2213yes—
47C4⋊C4×Dic83C2213yes—
48C4⋊C4×Dic83C2213yes—
49C4⋊C4×Dic83C2213yes—
50C4⋊C4×Dic83C2213yes—
51C4×C4⋊Dic83C2213yes—
52C4×C4⋊Dic83C2213yes—
53C22⋊C4×Dic83C2213yes—
54C22⋊C4×Dic83C2216yes—
55C22⋊C4×Dic83C2213yes—
56C22⋊C4×Dic83C2213yes—
57C22⋊C4×Dic83C2211yescharacteristic
58C4×C22⋊Dic83C2213yes—
59C4×C22⋊Dic83C2213yes—
60C42×Dic83C2213yes—
61C22×#41×C83C2211yescharacteristic
62C23×Q8×C83C2211yescharacteristic
63#548×C83C4116yescomplemented
64C2×#124×C83C2213yes—
65C2×C22⋊Q8×C83C2213yes—
66C2×#121×C83C2213yes—
67C2×C4×Q8×C83C2211yescharacteristic
68C2×C4×D4×C83C2213yes—
69C23×Dic83C2313yes—
70C23×Dic83C2313yes—
71C23×Dic83C2313yes—
72C23×Dic83C2311yescharacteristic
73Q8×Dic83—212no—
74Q8×Dic83—212no—
75Q8×Dic83—24no—
76Q8×Dic83—24no—
77Q8×Dic83—24no—
78Q8×Dic83D418yescomplemented
79D4×Dic83—212no—
80D4×Dic83—212no—
81D4×Dic83—212no—
82D4×Dic83—212no—
83#14581751—212no—
84C2×C4⋊Dic83—212no—
85C2×C4⋊Dic83C2313yes—
86C2×C4⋊Dic83C2313yes—
87C2×C4⋊Dic83C2313yes—
88C2×C4⋊Dic83C2313yes—
89C2×C4⋊Dic83C2313yes—
90C2×C4⋊Dic83C2316yes—
91C2×C4⋊Dic83C2313yes—
92C2×C22⋊Dic83C2313yes—
93C2×C22⋊Dic83C2316yes—
94C2×C22⋊Dic83C2313yes—
95C2×C22⋊Dic83C2313yes—
96C2×C22⋊Dic83C2316yes—
97C2×C22⋊Dic83C2311yescharacteristic
98C2×C4×Dic83—212no—
99C2×C4×Dic83—212no—
100C2×C4×Dic83C2313yes—
101C2×C4×Dic83C2313yes—
102C2×C4×Dic83C2313yes—
103C2×C4×Dic83C2311yescharacteristic
104C2×C4×Dic83C2313yes—
105C2×C4×Dic83C2313yes—
106C2×C4×Dic83C2313yes—
107C2×C4×Dic83C2313yes—
108C2×C4×Dic83C2313yes—
109C2×C4×Dic83C2311yescharacteristic
110C2×C4×Dic83C2313yes—
111C2×C4×Dic83C2313yes—
112C83⋊#95C2311yescharacteristic
113C83⋊#95C2316yes—
114C83⋊#95C2313yes—
115C83⋊#95C2311yescharacteristic
116C83⋊#95C2313yes—
117C83⋊#95C2313yes—
118C83⋊#95C2313yes—
119C83⋊#95C2316yes—
120C83⋊#95C2316yes—
121C2×#41×C83—24no—
122C2×#41×C83—24no—
123C2×#41×C83C2×C418yescomplemented
124C22×Q8×C83—24no—
125C22×Q8×C83—24no—
126C22×Q8×C83C2×C418yescomplemented
127C22×Q8×C83C2313yes—
128C22×Q8×C83C2311yescharacteristic
129C22×D4×C83C2313yes—
130C22×D4×C83C2313yes—
131C23×C4×C83C2313yes—
132C23×C4×C83C2313yes—
133#124×C83C2×C4124yescomplemented
134C22⋊Q8×C83C2×C4124yescomplemented
135#121×C83C2×C4124yescomplemented
136C4×Q8×C83C2×C418yescomplemented
137C4×D4×C83C2×C4124yescomplemented
138C2×C4⋊C4×C83C2313yes—
139C2×C4⋊C4×C83C2313yes—
140C2×C22⋊C4×C83C2316yes—
141C2×C22⋊C4×C83C2313yes—
142C2×C22⋊C4×C83C2311yescharacteristic
143C2×C42×C83C2313yes—
144C22×Dic83—22no—
145C22×Dic83—22no—
146C22×Dic83—26no—
147C22×Dic83—26no—
148C22×Dic83—26no—
149C22×Dic83—26no—
150C22×Dic83—26no—
151C22×Dic83—26no—
152C22×Dic83—26no—
153C22×Dic83—43no—
154C22×Dic83—43no—
155C22×Dic83#4114yescomplemented
156C22×Dic83C2413yes—
157C22×Dic83C2413yes—
158C22×Dic83C2413yes—
159C22×Dic83C2413yes—
160C22×Dic83C2411yescharacteristic
161C22×Dic83C2411yescharacteristic
162C22×Dic83C2411yescharacteristic
163C22×Dic83C2411yescharacteristic
164C4⋊Dic83—26no—
165C4⋊Dic83—26no—
166C4⋊Dic83—26no—
167C4⋊Dic83—212no—
168C4⋊Dic83—26no—
169C4⋊Dic83—26no—
170C4⋊Dic83C2×D4112yes—
171C22⋊Dic83—26no—
172C22⋊Dic83—212no—
173C22⋊Dic83—26no—
174C22⋊Dic83—26no—
175C22⋊Dic83—46no—
176C22⋊Dic83#4114yescomplemented
177C4×Dic83—26no—
178C4×Dic83—26no—
179C4×Dic83—26no—
180C4×Dic83—22no—
181C4×Dic83—26no—
182C4×Dic83—26no—
183C4×Dic83—26no—
184C4×Dic83—26no—
185C4×Dic83—26no—
186C4×Dic83—22no—
187C4×Dic83—43no—
188C4×Dic83C2×D4112yes—
189C24×C83C2413yes—
190C24×C83C2411yescharacteristic
191#41×C83—232no—
192C2×Q8×C83—232no—
193C2×Q8×C83—26no—
194C2×Q8×C83—26no—
195C2×Q8×C83C22×C4112yes—
196C2×Q8×C83C22×C414yes—
197C2×Q8×C83C2×D414yes—
198C2×Q8×C83#4114yes—
199C2×D4×C83—26no—
200C2×D4×C83—26no—
201C2×D4×C83—26no—
202C2×D4×C83—26no—
203C2×D4×C83C22×C4112yes—
204C2×D4×C83C22×C4112yes—
205C22×C4×C83—26no—
206C22×C4×C83—26no—
207C22×C4×C83—26no—
208C22×C4×C83—26no—
209C22×C4×C83C22×C4112yes—
210C22×C4×C83C22×C4112yes—
211C22×C4×C83C2411yescharacteristic
212C22×C4×C83C2413yes—
213C22×C4×C83C2413yes—
214C22×C4×C83C2411yescharacteristic
215C22×C4×C83C2413yes—
216C4⋊C4×C83C22×C4112yes—
217C4⋊C4×C83C22×C4112yes—
218C22⋊C4×C83C22×C414yes—
219C22⋊C4×C83C22×C4112yes—
220C22⋊C4×C83C22×C4124yes—
221C42×C83C22×C4112yes—
222C23×C83—21no—
223C23×C83—21no—
224C23×C83—21no—
225C23×C83—21no—
226C23×C83—23no—
227C23×C83—23no—
228C23×C83—23no—
229C23×C83—23no—
230C23×C83—23no—
231C23×C83—23no—
232C23×C83C23×C416yes—
233C23×C83C23×C412yes—
234C23×C83C2×#4112yes—
235C23×C83C2×#4112yes—
236C23×C83C2511yescharacteristic
237Q8×C83—224no—
238Q8×C83C4×D4116yescomplemented
239D4×C83—224no—
240D4×C83—224no—
241C2×C4×C83—21no—
242C2×C4×C83—23no—
243C2×C4×C83—21no—
244C2×C4×C83—23no—
245C2×C4×C83—23no—
246C2×C4×C83—23no—
247C2×C4×C83—21no—
248C2×C4×C83—21no—
249C2×C4×C83—224no—
250C2×C4×C83—224no—
251C2×C4×C83C23×C412yes—
252C2×C4×C83C23×C416yes—
253C2×C4×C83C23×C416yes—
254C2×C4×C83C23×C412yes—
255C2×C4×C83C23×C416yes—
256C2×C4×C83C22×D416yes—
257C2×C4×C83C2×#4116yes—
258C2×Dic83—21no—
259C2×Dic83—21no—
260C2×Dic83—21no—
261C2×Dic83—23no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—23no—
265C2×Dic83—21no—
266C2×Dic83—28no—
267C2×Dic83—23no—
268C2×Dic83—23no—
269C2×Dic83—23no—
270C2×Dic83—23no—
271C2×Dic83—23no—
272C2×Dic83—23no—
273C2×Dic83—23no—
274C2×Dic83—23no—
275C2×Dic83—23no—
276C2×Dic83—412no—
277C2×Dic83—412no—
278C2×Dic83—412no—
279C2×Dic83C22×D416yes—
280C2×Dic83C22×D412yes—
281C2×Dic83C2×#4112yes—
282C2×Dic83C2×#4112yes—
283C2×Dic83C2×#4112yes—
284C2×Dic83C2×#4112yes—
285C2×Dic832−1+412yes—
286C22×C83—22no—
287C22×C83—22no—
288C22×C83—22no—
289C22×C83—22no—
290C22×C83—22no—
291C22×C83—22no—
292C22×C83—26no—
293C22×C83—26no—
294C22×C83—26no—
295C22×C83—43no—
296C22×C83—43no—
297C22×C83—43no—
298C22×C83—43no—
299C22×C83C4×#4114yescomplemented
300C22×C83C24×C411yescharacteristic
301C22×C83C23×D411yescharacteristic
302C22×C83C22×#4111yescharacteristic
303C22×C83C22×#4111yescharacteristic
304C22×C83C22×#4111yescharacteristic
305C22×C83C2×2−1+411yescharacteristic
306C22×C83#58511yescharacteristic
307C4×C83—22no—
308C4×C83—26no—
309C4×C83—26no—
310C4×C83—22no—
311C4×C83C2×C4×D4112yes—
312Dic83—22no—
313Dic83—22no—
314Dic83—26no—
315Dic83—22no—
316Dic83—43no—
317Dic83—43no—
318Dic83—43no—
319Dic83#54814yesdirect product factor
320C4×#548—831nomaximal, Sylow
321C2×C83—24no—
322C2×C83—46no—
323C2×C83C22×C4×D411yescharacteristic
324C2×C83C2×C4×#4111yescharacteristic
325C2×C83C4×2−1+411yescharacteristic
326C2×C83C2×#54811yescharacteristic
327C2×C83D4×#4111yescharacteristic
328C2×C83#348011yescharacteristic
329C2×C83#348211yescharacteristic
330C2×#548D8311yescharacteristic
331C2×C4×#41—831no—
332C22×C4×Q8—831no—
333#2367—833no—
334#2362—833no—
335#2361—833no—
336#2352—833no—
337#2351—831no—
338#2341—831no—
339Q8×C22⋊C4—831no—
340C4×#124—833no—
341C4×C22⋊Q8—833no—
342C4×#121—833no—
343C42×Q8—831no—
344C42×D4—833no—
345C83C4×#54811yescharacteristic, complemented, Sylow
346C22×#41C2×D8311yescharacteristic
347C23×Q8C2×D8311yescharacteristic
348#548Dic83116yesdirect product factor
349C2×#124C2×D8313yes—
350C2×C22⋊Q8C2×D8313yes—
351C2×#121C2×D8313yes—
352C4×#41—1668no—
353C2×C4×Q8—831no—
354C2×C4×Q8—831no—
355C2×C4×Q8—831no—
356C2×C4×Q8—831no—
357C2×C4×Q8—833no—
358C2×C4×Q8—833no—
359C2×C4×Q8—1668no—
360C2×C4×Q8C2×D8311yescharacteristic
361C2×C4×D4—833no—
362C2×C4×D4—833no—
363C2×C4×D4—833no—
364C2×C4×D4—833no—
365C2×C4×D4C2×D8313yes—
366C2×#117—833no—
367C22×C4⋊C4—833no—
368C22×C42—833no—
369C22×C42—833no—
370#391—833no—
371#391—833no—
372#390—833no—
373#390—833no—
374#389—833no—
375#389—833no—
376#388—836no—
377#388—836no—
378#388—836no—
379#387—836no—
380#386—836no—
381#385—836no—
382#382—833no—
383#380—833no—
384#380—833no—
385C4×C4⋊C4—833no—
386C4×C4⋊C4—833no—
387C4×C4⋊C4—833no—
388C4×C4⋊C4—833no—
389C4×C4⋊C4—833no—
390C4×C4⋊C4—833no—
391C4×C22⋊C4—833no—
392C4×C22⋊C4—833no—
393C4×C22⋊C4—833no—
394C4×C22⋊C4—833no—
395C4×C22⋊C4—831no—
396C4×C22⋊C4—833no—
397C4×C22⋊C4—836no—
398C43—833no—
399C2×#41—24no—
400C2×#41—24no—
401C2×#41C2×Dic8318yescomplemented
402C22×Q8—24no—
403C22×Q8—24no—
404C22×Q8C2×Dic8318yescomplemented
405C22×Q8C22×D8313yes—
406C22×Q8C22×D8311yescharacteristic
407C22×D4C22×D8313yes—
408C22×D4C22×D8313yes—
409C23×C4—833no—
410C23×C4—833no—
411C23×C4—831no—
412C23×C4—833no—
413C23×C4C22×D8313yes—
414C23×C4C22×D8313yes—
415#124C2×Dic83124yescomplemented
416C22⋊Q8C2×Dic83124yescomplemented
417#121C2×Dic83124yescomplemented
418C4×Q8—838no—
419C4×Q8—16612no—
420C4×Q8—16612no—
421C4×Q8—1664no—
422C4×Q8—1664no—
423C4×Q8—1664no—
424C4×Q8C2×Dic8318yescomplemented
425C4×D4—16612no—
426C4×D4—16612no—
427C4×D4—16612no—
428C4×D4—16612no—
429C4×D4C2×Dic83124yescomplemented
430#117—16612no—
431C2×C4⋊C4—833no—
432C2×C4⋊C4—833no—
433C2×C4⋊C4—836no—
434C2×C4⋊C4—833no—
435C2×C4⋊C4—833no—
436C2×C4⋊C4—833no—
437C2×C4⋊C4—833no—
438C2×C4⋊C4—16612no—
439C2×C4⋊C4C22×D8313yes—
440C2×C4⋊C4C22×D8313yes—
441C2×C22⋊C4—836no—
442C2×C22⋊C4—831no—
443C2×C22⋊C4—836no—
444C2×C22⋊C4—833no—
445C2×C22⋊C4—833no—
446C2×C22⋊C4—833no—
447C2×C22⋊C4C22×D8311yescharacteristic
448C2×C22⋊C4C22×D8313yes—
449C2×C22⋊C4C22×D8316yes—
450C2×C42—833no—
451C2×C42—833no—
452C2×C42—833no—
453C2×C42—833no—
454C2×C42—833no—
455C2×C42—833no—
456C2×C42—833no—
457C2×C42—833no—
458C2×C42—833no—
459C2×C42—833no—
460C2×C42—831no—
461C2×C42—831no—
462C2×C42—16612no—
463C2×C42—16612no—
464C2×C42C22×D8313yes—
465#95—831no—
466#95—831no—
467#95—833no—
468#95—833no—
469#95—833no—
470#95—833no—
471#95—836no—
472#95—836no—
473#95—836no—
474C24C23×D8313yes—
475C24C23×D8311yescharacteristic
476#41—232no—
477C2×Q8—232no—
478C2×Q8—26no—
479C2×Q8—26no—
480C2×Q8C22×Dic83112yes—
481C2×Q8C22×Dic8314yes—
482C2×Q8D4×D8314yes—
483C2×Q8#1305058914yes—
484C2×D4—26no—
485C2×D4—26no—
486C2×D4—26no—
487C2×D4—26no—
488C2×D4C22×Dic83112yes—
489C2×D4C22×Dic83112yes—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—26no—
494C22×C4—3323no—
495C22×C4—3323no—
496C22×C4—831no—
497C22×C4—834no—
498C22×C4—831no—
499C22×C4—831no—
500C22×C4—831no—
501C22×C4—833no—
502C22×C4—833no—
503C22×C4—833no—
504C22×C4—833no—
505C22×C4—1666no—
506C22×C4—1666no—
507C22×C4—1666no—
508C22×C4—1666no—
509C22×C4—1666no—
510C22×C4—1666no—
511C22×C4—1666no—
512C22×C4—1662no—
513C22×C4—1662no—
514C22×C4C22×Dic83112yes—
515C22×C4C22×Dic83112yes—
516C22×C4C23×D8311yescharacteristic
517C22×C4C23×D8311yescharacteristic
518C22×C4C23×D8313yes—
519C22×C4C23×D8313yes—
520C22×C4C23×D8313yes—
521C4⋊C4—8312no—
522C4⋊C4—16612no—
523C4⋊C4—1666no—
524C4⋊C4—1666no—
525C4⋊C4—1666no—
526C4⋊C4—1666no—
527C4⋊C4—1666no—
528C4⋊C4C22×Dic83112yes—
529C4⋊C4C22×Dic83112yes—
530C22⋊C4—3326no—
531C22⋊C4—834no—
532C22⋊C4—16612no—
533C22⋊C4—1666no—
534C22⋊C4—1666no—
535C22⋊C4—1666no—
536C22⋊C4C22×Dic8314yes—
537C22⋊C4C22×Dic83112yes—
538C22⋊C4C22×Dic83124yes—
539C42—3323no—
540C42—8312no—
541C42—1662no—
542C42—1666no—
543C42—1666no—
544C42—1666no—
545C42—1666no—
546C42—1666no—
547C42—1662no—
548C42—1666no—
549C42—1666no—
550C42—1666no—
551C42C22×Dic83112yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—23no—
557C23—23no—
558C23—23no—
559C23—23no—
560C23—23no—
561C23—23no—
562C23C23×Dic8316yes—
563C23C23×Dic8312yes—
564C23#41×D8312yes—
565C23#41×D8312yes—
566C23C24×D8311yescharacteristic
567Q8—224no—
568Q8D4×Dic83116yescomplemented
569D4—224no—
570D4—224no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—33212no—
582C2×C4—33212no—
583C2×C4—33212no—
584C2×C4—832no—
585C2×C4—832no—
586C2×C4—832no—
587C2×C4—836no—
588C2×C4—832no—
589C2×C4—832no—
590C2×C4—832no—
591C2×C4—1663no—
592C2×C4—1663no—
593C2×C4—1663no—
594C2×C4—1663no—
595C2×C4—1663no—
596C2×C4—1663no—
597C2×C4—1663no—
598C2×C4—1663no—
599C2×C4—1663no—
600C2×C4—1668no—
601C2×C4—1661no—
602C2×C4—1661no—
603C2×C4—1663no—
604C2×C4—1661no—
605C2×C4—1661no—
606C2×C4—1661no—
607C2×C4—1663no—
608C2×C4—1661no—
609C2×C4C23×Dic8312yes—
610C2×C4C23×Dic8316yes—
611C2×C4C23×Dic8316yes—
612C2×C4C23×Dic8312yes—
613C2×C4C23×Dic8316yes—
614C2×C4C2×D4×D8316yes—
615C2×C4C2×#1305058916yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—26no—
623C22—26no—
624C22—26no—
625C22—43no—
626C22—43no—
627C22—43no—
628C22—43no—
629C22#41×Dic8314yescomplemented
630C22C24×Dic8311yescharacteristic
631C22C22×D4×D8311yescharacteristic
632C22C2×#41×D8311yescharacteristic
633C22C2×#41×D8311yescharacteristic
634C22C22×#1305058911yescharacteristic
635C222−1+4×D8311yescharacteristic
636C22#1912853811yescharacteristic
637C4—22no—
638C4—26no—
639C4—26no—
640C4—22no—
641C4—3323no—
642C4—3323no—
643C4—3323no—
644C4—834no—
645C4—1662no—
646C4—1662no—
647C4—1666no—
648C4—1662no—
649C4C2×D4×Dic83112yes—
650C2—24no—
651C2—46no—
652C2C22×D4×Dic8311yescharacteristic
653C2C2×#41×Dic8311yescharacteristic
654C22−1+4×Dic8311yescharacteristic
655C2#548×D8311yescharacteristic
656C2#2492095211yescharacteristic
657C2#2492105311yescharacteristic
658C2#2492107911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
Fitting, prime radicalC2×#548×C83C2
socle, cosocleC23×C83C25
hypercenterC2×#548D83
hypocenterC83C4×#548
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×#41×Dic83C2semidirect
2. C22×Q8×Dic83C2semidirect
3. #24910538C2semidirect
4. #24910494C2semidirect
5. #24910483C2semidirect
6. #24910392C2semidirect
7. #24910384C2semidirect
8. #24910304C2semidirect
9. Q8×C22⋊Dic83C2semidirect
10. #124×Dic83C2semidirect
11. C22⋊Q8×Dic83C2semidirect
12. #121×Dic83C2semidirect
13. C4×Q8×Dic83C2semidirect
14. C4×D4×Dic83C2semidirect
63. #548×C83C4semidirect
78. Q8×Dic83D4semidirect
123. C2×#41×C83C2×C4semidirect
126. C22×Q8×C83C2×C4semidirect
133. #124×C83C2×C4semidirect
134. C22⋊Q8×C83C2×C4semidirect
135. #121×C83C2×C4semidirect
136. C4×Q8×C83C2×C4semidirect
137. C4×D4×C83C2×C4semidirect
155. C22×Dic83#41semidirect
176. C22⋊Dic83#41semidirect
238. Q8×C83C4×D4semidirect
299. C22×C83C4×#41semidirect
319. Dic83#548direct (N × H)
345. C83C4×#548semidirect
348. #548Dic83direct (N × H)
401. C2×#41C2×Dic83semidirect
404. C22×Q8C2×Dic83semidirect
415. #124C2×Dic83semidirect
416. C22⋊Q8C2×Dic83semidirect
417. #121C2×Dic83semidirect
424. C4×Q8C2×Dic83semidirect
429. C4×D4C2×Dic83semidirect
568. Q8D4×Dic83semidirect
629. C22#41×Dic83semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic832
C22×Q8×Dic832
#249105382
#249104942
#249104832
#249103922
#249103842
#249103042
Q8×C22⋊Dic832
#124×Dic832
C22⋊Q8×Dic832
#121×Dic832
C4×Q8×Dic832
C4×D4×Dic832
C2×#548×C832
C4×#54883