Finite Group Databasebeta

← #35410918

Subgroups — #35410918

Order 21248.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127928C211yesmaximal, characteristic
2C2×C4×#13050578C211yesmaximal, characteristic, complemented
3C2×#19127657C211yesmaximal, characteristic, complemented
4#24910145C211yesmaximal, characteristic, complemented
5#24908316C211yesmaximal, characteristic, complemented
6#24908188C211yesmaximal, characteristic, complemented
7#24908163C211yesmaximal, characteristic, complemented
8#24908152C211yesmaximal, characteristic, complemented
9#24907902C211yesmaximal, characteristic
10#24907894C211yesmaximal, characteristic, complemented
11#24907486C211yesmaximal, characteristic, complemented
12C4×#14581723C211yesmaximal, characteristic, complemented
13#24907296C211yesmaximal, characteristic, complemented
14#24907288C211yesmaximal, characteristic, complemented
15C83×#2324C211yesmaximal, characteristic
16C22×#13050578C2211yescharacteristic
17C22×#13050574C2211yescharacteristic
18C23×C83⋊C8C2211yescharacteristic
19C2×#14581771C2211yescharacteristic
20C2×C4×Dic166C2211yescharacteristic
21#19127928C418yescomplemented
22C4×#13050578—24no—
23C2×#14581723C2211yescharacteristic
24C2×#14581723C2211yescharacteristic
25C2×#14581723C2211yescharacteristic
26C2×#14581715C2211yescharacteristic
27C2×#14581715C2211yescharacteristic
28C2×#14581715C2211yescharacteristic
29C2×#14581713C2211yescharacteristic
30C2×#14581713C2211yescharacteristic
31C2×#14581713C2211yescharacteristic
32#19127657—24no—
33C2×#14581703C2211yescharacteristic
34C2×#14581703C2211yescharacteristic
35C2×C4×C83⋊C8C2211yescharacteristic
36C2×C4×C83⋊C8C2211yescharacteristic
37#19127607C2211yescharacteristic
38#19127599C2211yescharacteristic
39#19127596—21no—
40#19127595—21no—
41#19127589—21no—
42#19127582—21no—
43#19127561C2211yescharacteristic
44C4×C4⋊Dic83C2211yescharacteristic
45#19127463C2211yescharacteristic
46#19127463C2211yescharacteristic
47#19127463C2211yescharacteristic
48#19127463C2211yescharacteristic
49#19127463C2211yescharacteristic
50#19127463C2211yescharacteristic
51C2×#121×C83C2211yescharacteristic
52C2×C4×D4×C83C2211yescharacteristic
53C2×#117×C83C2211yescharacteristic
54#390×C83—21no—
55#390×C83C2211yescharacteristic
56#389×C83C2211yescharacteristic
57#388×C83—21no—
58#386×C83—21no—
59#385×C83—21no—
60#380×C83C2211yescharacteristic
61C4×C4⋊C4×C83C2211yescharacteristic
62C22×Dic166C2311yescharacteristic
63C2×#13050578—22no—
64C2×#13050578—22no—
65C2×#13050578C2×C414yes—
66C2×#13050574—22no—
67C2×#13050574—22no—
68C2×#13050574—22no—
69C22×C83⋊C8—22no—
70C22×C83⋊C8—22no—
71C22×C83⋊C8C2×C414yescomplemented
72C22×C83⋊C8C2311yescharacteristic
73C22×C83⋊C8C2311yescharacteristic
74C22×C83⋊C8C2311yescharacteristic
75C22×C83⋊C8C2311yescharacteristic
76#14581771—22no—
77#14581771C2×C414yescomplemented
78C4×Dic166—22no—
79C4×Dic166—22no—
80C2×C4⋊Dic83C2311yescharacteristic
81C2×C4⋊Dic83C2311yescharacteristic
82C2×C4⋊Dic83C2311yescharacteristic
83C2×Dic83⋊C4—21no—
84C2×Dic83⋊C4—21no—
85C2×Dic83⋊C4—21no—
86C2×C22⋊Dic83—21no—
87C2×C22⋊Dic83—21no—
88C2×C4×Dic83—21no—
89C2×C4×Dic83—21no—
90#14581723—22no—
91#14581723—22no—
92#14581723C2×C414yescomplemented
93#14581715—22no—
94#14581715—22no—
95#14581715C2×C414yescomplemented
96#14581713—22no—
97#14581713—22no—
98#14581713C2×C414yes—
99#14581703—22no—
100#14581703—22no—
101C4×C83⋊C8—22no—
102C4×C83⋊C8D414yescomplemented
103C83⋊#95—21no—
104C83⋊#95—21no—
105C83⋊#95—21no—
106C83⋊#95—21no—
107C83⋊#95—21no—
108C22×D4×C83—21no—
109C22×D4×C83C2311yescharacteristic
110C23×C4×C83—21no—
111C23×C4×C83C2311yescharacteristic
112#121×C83—22no—
113#121×C83C2×C414yes—
114C4×D4×C83—22no—
115C4×D4×C83—22no—
116#117×C83—22no—
117#117×C83—22no—
118C2×C4⋊C4×C83—21no—
119C2×C4⋊C4×C83D411yescharacteristic
120C2×C4⋊C4×C83D411yescharacteristic
121C2×C4⋊C4×C83C2311yescharacteristic
122C2×C4⋊C4×C83C2311yescharacteristic
123C2×C4⋊C4×C83C2311yescharacteristic
124C2×C22⋊C4×C83—21no—
125C2×C22⋊C4×C83—21no—
126C2×C22⋊C4×C83—21no—
127C2×C22⋊C4×C83—21no—
128C2×C22⋊C4×C83—21no—
129C2×C22⋊C4×C83D411yescharacteristic
130C2×C22⋊C4×C83D411yescharacteristic
131C2×C42×C83—21no—
132C2×C42×C83C2311yescharacteristic
133C2×C42×C83C2311yescharacteristic
134#95×C83—21no—
135#95×C83—21no—
136#95×C83—21no—
137C2×Dic166—21no—
138C2×Dic166—21no—
139C2×Dic166—21no—
140C2×Dic166—21no—
141C2×Dic166—21no—
142C2×Dic166C22×C412yes—
143C22×Dic83—21no—
144C22×Dic83—21no—
145C22×Dic83—21no—
146C22×Dic83—21no—
147#13050578—28no—
148#13050574—28no—
149C2×C83⋊C8—21no—
150C2×C83⋊C8—21no—
151C2×C83⋊C8—21no—
152C2×C83⋊C8—21no—
153C2×C83⋊C8—21no—
154C2×C83⋊C8—21no—
155C2×C83⋊C8—28no—
156C2×C83⋊C8C22×C412yes—
157C2×C83⋊C8C22×C412yes—
158C2×C83⋊C8C2×D412yes—
159C2×C83⋊C8C2×D412yes—
160C2×C83⋊C8#4112yes—
161C2×C83⋊C8#4112yes—
162C4⋊Dic83—21no—
163C4⋊Dic83—21no—
164C4⋊Dic83—21no—
165C4⋊Dic83—21no—
166C4⋊Dic83—21no—
167C4⋊Dic83C22×C412yes—
168Dic83⋊C4—24no—
169Dic83⋊C4—42no—
170Dic83⋊C4—81no—
171C22⋊Dic83—24no—
172C22⋊Dic83—81no—
173C4×Dic83—42no—
174C4×Dic83—81no—
175C24×C83—21no—
176C24×C83C2×D411yescharacteristic
177C2×D4×C83—24no—
178C2×D4×C83—21no—
179C2×D4×C83—21no—
180C2×D4×C83—21no—
181C2×D4×C83—21no—
182C2×D4×C83—21no—
183C2×D4×C83—81no—
184C2×D4×C83—81no—
185C2×D4×C83C22×C412yes—
186C22×C4×C83—21no—
187C22×C4×C83—21no—
188C22×C4×C83—21no—
189C22×C4×C83—21no—
190C22×C4×C83—21no—
191C22×C4×C83—21no—
192C22×C4×C83—21no—
193C22×C4×C83—42no—
194C22×C4×C83—81no—
195C22×C4×C83—81no—
196C22×C4×C83C22×C412yes—
197C22×C4×C83C2×D411yescharacteristic
198C22×C4×C83C2×D411yescharacteristic
199C22×C4×C83C2×D411yescharacteristic
200C22×C4×C83C2×D411yescharacteristic
201C22×C4×C83C2×D411yescharacteristic
202C22×C4×C83#4112yes—
203C22×C4×C83C2411yescharacteristic
204C4⋊C4×C83—22no—
205C4⋊C4×C83—22no—
206C4⋊C4×C83—21no—
207C4⋊C4×C83—21no—
208C4⋊C4×C83—21no—
209C4⋊C4×C83—21no—
210C4⋊C4×C83—21no—
211C4⋊C4×C83—81no—
212C4⋊C4×C83C22×C412yes—
213C22⋊C4×C83—24no—
214C22⋊C4×C83—22no—
215C22⋊C4×C83—22no—
216C22⋊C4×C83—42no—
217C22⋊C4×C83—81no—
218C22⋊C4×C83—81no—
219C22⋊C4×C83—81no—
220C42×C83—21no—
221C42×C83—21no—
222C42×C83—81no—
223C42×C83C2×D412yes—
224C42×C83#4112yes—
225C23×C83—21no—
226C23×C83—21no—
227C23×C83—21no—
228C23×C83—21no—
229C23×C83—21no—
230C23×C83—21no—
231C23×C83—22no—
232C23×C83—41no—
233C23×C83—41no—
234C23×C83—41no—
235C23×C83—41no—
236C23×C83—41no—
237C23×C83—41no—
238C23×C83C4×D412yes—
239C23×C83C22×D411yescharacteristic
240D4×C83—22no—
241D4×C83—22no—
242D4×C83—41no—
243D4×C83—41no—
244D4×C83—84no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—21no—
248C2×C4×C83—21no—
249C2×C4×C83—21no—
250C2×C4×C83—21no—
251C2×C4×C83—22no—
252C2×C4×C83—22no—
253C2×C4×C83—22no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—21no—
257C2×C4×C83—21no—
258C2×C4×C83—21no—
259C2×C4×C83—21no—
260C2×C4×C83—21no—
261C2×C4×C83—21no—
262C2×C4×C83—41no—
263C2×C4×C83—41no—
264C2×C4×C83—41no—
265C2×C4×C83—41no—
266C2×C4×C83—41no—
267C2×C4×C83—41no—
268C2×C4×C83—41no—
269C2×C4×C83—41no—
270C2×C4×C83—84no—
271C2×C4×C83C4×D412yes—
272C2×C4×C83#12112yes—
273C2×C4×C83#12112yes—
274C2×C4×C83C23×C411yescharacteristic
275C2×C4×C83C22×D411yescharacteristic
276C2×C4×C83C2×#4111yescharacteristic
277C2×C4×C83C2×#4111yescharacteristic
278C2×C4×C83C2×#4111yescharacteristic
279C2×C4×C83C2×#4111yescharacteristic
280C2×Dic83—22no—
281C2×Dic83—22no—
282C2×Dic83—41no—
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—
292Dic166—22no—
293Dic166—22no—
294Dic166—41no—
295Dic166—41no—
296C83⋊C8—22no—
297C83⋊C8—22no—
298C83⋊C8—22no—
299C83⋊C8C4×D414yes—
300C22×C83—22no—
301C22×C83—22no—
302C22×C83—22no—
303C22×C83—41no—
304C22×C83—41no—
305C22×C83—41no—
306C22×C83—41no—
307C22×C83—42no—
308C22×C83—42no—
309C22×C83—42no—
310C22×C83—81no—
311C22×C83—81no—
312C22×C83—81no—
313C22×C83—81no—
314C22×C83C2×C4×D411yescharacteristic
315C22×C83C2×#12111yescharacteristic
316C22×C83#53211yescharacteristic
317C22×C83#57711yescharacteristic
318C22×C83#57711yescharacteristic
319C22×C83#57711yescharacteristic
320C22×C83#57711yescharacteristic
321C4×C83—22no—
322C4×C83—22no—
323C4×C83—22no—
324C4×C83—42no—
325C4×C83—41no—
326C4×C83—41no—
327C4×C83—81no—
328C4×C83—81no—
329C4×C83C2×C4×D411yescharacteristic
330C4×C83C4×#4111yescharacteristic
331C4×C83#52511yescharacteristic
332C4×C83#52911yescharacteristic
333Dic83—42no—
334Dic83—42no—
335Dic83—81no—
336Dic83—81no—
337#21523—831nomaximal, Sylow
338C2×C83—42no—
339C2×C83—82no—
340C2×C83C4×#12111yescharacteristic
341C2×C83#294911yescharacteristic
342C2×C83#295211yescharacteristic
343C2×C83#305711yescharacteristic
344C2×C83#306011yescharacteristic
345C2×C83#317311yescharacteristic
346C2×C83#317411yescharacteristic
347C2×#465—831no—
348C2×C4×SD16—831no—
349C2×#405—831no—
350#2324D8311yescharacteristic
351#2323—831no—
352#1968—831no—
353#1941—831no—
354#1936—831no—
355#1935—831no—
356#1895—831no—
357#1894—831no—
358#1807—831no—
359C4×#106—831no—
360#1763—831no—
361#1762—831no—
362C83#2152311yescharacteristic, complemented, Sylow
363C22×SD16—831no—
364C22×M16—831no—
365C23×C8—831no—
366C2×C22⋊Q8—831no—
367C2×#121C2×D8311yescharacteristic
368C2×C4×Q8—831no—
369C2×C4×D4C2×D8311yescharacteristic
370C2×#117C2×D8311yescharacteristic
371#465—838no—
372C4×SD16—1664no—
373C2×#106—831no—
374C2×#106—831no—
375C2×#106—831no—
376C2×#103—831no—
377C2×#103—831no—
378C2×#103—831no—
379C2×#102—831no—
380C2×#102—831no—
381C2×#102—831no—
382#405—1664no—
383C2×#97—831no—
384C2×#97—831no—
385C2×C4×C8—831no—
386C2×C4×C8—831no—
387#391—831no—
388#390—21no—
389#390C2×D8311yescharacteristic
390#389—831no—
391#389—1661no—
392#389C2×D8311yescharacteristic
393#388—21no—
394#388—1661no—
395#388—1661no—
396#387—1661no—
397#386—21no—
398#385—21no—
399#380—831no—
400#380C2×D8311yescharacteristic
401C4×C4⋊C4—831no—
402C4×C4⋊C4C2×D8311yescharacteristic
403#340—831no—
404#340—831no—
405#340—831no—
406#340—831no—
407#340—831no—
408#340—831no—
409C22×Q8—831no—
410C22×D4—21no—
411C22×D4C22×D8311yescharacteristic
412C23×C4—21no—
413C23×C4C22×D8311yescharacteristic
414C2×SD16—834no—
415C2×SD16—1662no—
416C2×SD16—1662no—
417C2×M16—1662no—
418C2×M16—1662no—
419C2×M16—1662no—
420C22×C8—831no—
421C22×C8—834no—
422C22×C8—831no—
423C22×C8—831no—
424C22×C8—831no—
425C22×C8—1662no—
426C22×C8—1662no—
427C22⋊Q8—834no—
428C22⋊Q8—1662no—
429#121—22no—
430#121C4×D8314yes—
431C4×Q8—1662no—
432C4×Q8—1662no—
433C4×D4—22no—
434C4×D4—22no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—831no—
439C2×C4⋊C4—831no—
440C2×C4⋊C4—831no—
441C2×C4⋊C4—1661no—
442C2×C4⋊C4—1661no—
443C2×C4⋊C4—1661no—
444C2×C4⋊C4C22⋊D8311yescharacteristic
445C2×C4⋊C4C22⋊D8311yescharacteristic
446C2×C4⋊C4C22×D8311yescharacteristic
447C2×C4⋊C4C22×D8311yescharacteristic
448C2×C4⋊C4C22×D8311yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1661no—
455C2×C22⋊C4—1661no—
456C2×C22⋊C4C22⋊D8311yescharacteristic
457C2×C22⋊C4C22⋊D8311yescharacteristic
458C2×C42—21no—
459C2×C42—1661no—
460C2×C42—1661no—
461C2×C42C22×D8311yescharacteristic
462C2×C42C22×D8311yescharacteristic
463#106—834no—
464#106—1662no—
465#106—1662no—
466#103—834no—
467#103—1662no—
468#103—1662no—
469#102—834no—
470#102—1662no—
471#102—1662no—
472#97—1662no—
473#97—1662no—
474C4×C8—834no—
475C4×C8—1662no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—1661no—
480#95—1661no—
481#95—1661no—
482#95—1661no—
483#95—1661no—
484C24—21no—
485C24C2×C22⋊D8311yescharacteristic
486C2×Q8—832no—
487C2×Q8—1661no—
488C2×Q8—1661no—
489C2×Q8—1661no—
490C2×Q8—1661no—
491C2×Q8—1661no—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×C4×D8312yes—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—1661no—
512C22×C4—1661no—
513C22×C4—1661no—
514C22×C4—1661no—
515C22×C4C2×C4×D8312yes—
516C22×C4C2×C22⋊D8311yescharacteristic
517C22×C4C2×C22⋊D8311yescharacteristic
518C22×C4C2×C22⋊D8311yescharacteristic
519C22×C4C2×C22⋊D8311yescharacteristic
520C22×C4C2×C22⋊D8311yescharacteristic
521C22×C4#1305059012yes—
522C22×C4C23×D8311yescharacteristic
523SD16—1668no—
524M16—1668no—
525C2×C8—832no—
526C2×C8—832no—
527C2×C8—832no—
528C2×C8—832no—
529C2×C8—832no—
530C2×C8—832no—
531C2×C8—1668no—
532C2×C8—1661no—
533C2×C8—1661no—
534C2×C8—1661no—
535C2×C8—1661no—
536C2×C8—1661no—
537C2×C8—1661no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—81no—
546C4⋊C4—3322no—
547C4⋊C4—832no—
548C4⋊C4—6641no—
549C4⋊C4—1661no—
550C4⋊C4—1661no—
551C4⋊C4—1661no—
552C4⋊C4—1661no—
553C4⋊C4—1661no—
554C4⋊C4—1664no—
555C4⋊C4C2×C4×D8312yes—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—24no—
559C22⋊C4—42no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C22⋊C4—6641no—
564C22⋊C4—1664no—
565C42—21no—
566C42—21no—
567C42—81no—
568C42—3322no—
569C42—6641no—
570C42D4×D8312yes—
571C42#1305058912yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23C4×C22⋊D8312yes—
586C23C22×C22⋊D8311yescharacteristic
587Q8—3321no—
588Q8—3321no—
589Q8—1662no—
590Q8—1662no—
591D4—22no—
592D4—22no—
593D4—41no—
594D4—41no—
595D4—84no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—3321no—
623C2×C4—3321no—
624C2×C4—3321no—
625C2×C4—3321no—
626C2×C4—3321no—
627C2×C4—3321no—
628C2×C4—3321no—
629C2×C4—3321no—
630C2×C4—3321no—
631C2×C4—3321no—
632C2×C4—1662no—
633C2×C4—1662no—
634C2×C4C4×C22⋊D8312yes—
635C2×C4#1458176412yes—
636C2×C4#1458176412yes—
637C2×C4C22×C4×D8311yescharacteristic
638C2×C4C2×D4×D8311yescharacteristic
639C2×C4#41×D8311yescharacteristic
640C2×C4#41×D8311yescharacteristic
641C2×C4C2×#1305058911yescharacteristic
642C2×C4C2×#1305059011yescharacteristic
643C8—834no—
644C8—1662no—
645C8—1662no—
646C8—1662no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×C4×C22⋊D8311yescharacteristic
662C22C2×#1458176411yescharacteristic
663C22#1912824711yescharacteristic
664C22#1912850911yescharacteristic
665C22#1912851211yescharacteristic
666C22#1912851211yescharacteristic
667C22#1912851211yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4—81no—
675C4—81no—
676C4—3322no—
677C4—3322no—
678C4—6641no—
679C4—6641no—
680C4C4×D4×D8311yescharacteristic
681C4C4×#1305058911yescharacteristic
682C4#1912821011yescharacteristic
683C4#1912823111yescharacteristic
684C2—42no—
685C2—82no—
686C2C4×#1458176411yescharacteristic
687C2#2491632011yescharacteristic
688C2#2491634411yescharacteristic
689C2#2491709911yescharacteristic
690C2#2491712211yescharacteristic
691C2#2491807411yescharacteristic
692C2#2491808511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#2324C2
socleC23×C83C22×D4
prime radicalC2×#121×C83C22
cosocleC22×C4×C83C24
hypercenter#2324D83
hypocenterC83#21523
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. C2×C4×#13050578C2semidirect
3. C2×#19127657C2semidirect
4. #24910145C2semidirect
5. #24908316C2semidirect
6. #24908188C2semidirect
7. #24908163C2semidirect
8. #24908152C2semidirect
10. #24907894C2semidirect
11. #24907486C2semidirect
12. C4×#14581723C2semidirect
13. #24907296C2semidirect
14. #24907288C2semidirect
21. #19127928C4semidirect
71. C22×C83⋊C8C2×C4semidirect
77. #14581771C2×C4semidirect
92. #14581723C2×C4semidirect
95. #14581715C2×C4semidirect
102. C4×C83⋊C8D4semidirect
362. C83#21523semidirect

Maximal subgroups

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

subgroupindex
C2×#191279282
C2×C4×#130505782
C2×#191276572
#249101452
#249083162
#249081882
#249081632
#249081522
#249079022
#249078942
#249074862
C4×#145817232
#249072962
#249072882
C83×#23242
#2152383