Finite Group Databasebeta

← C83×#18419 #35246243

Subgroups — C83×#18419 #35246243

Order 21248.

1062 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3537C211yesmaximal, characteristic
2C83×#3193C211yesmaximal, characteristic, complemented
3C83×#3190C211yesmaximal, characteristic, complemented
4C83×#2639C211yesmaximal, characteristic, complemented
5C83×#1612C212yesmaximal, complemented
6C83×#1607C212yesmaximal, complemented
7C83×#1606C212yesmaximal, complemented
8C83×#1601C212yesmaximal, complemented
9C83×#1504C211yesmaximal, characteristic, complemented
10C2×#327×C83C211yesmaximal, characteristic, complemented
11C83×#1471C211yesmaximal, characteristic, complemented
12#560×C83—22no—
13#553×C83—21no—
14#553×C83—21no—
15D42×C83—22no—
16D42×C83—21no—
17D42×C83—21no—
18#540×C83—21no—
19#538×C83—21no—
20#538×C83C2212yes—
21#535×C83—21no—
22#534×C83—21no—
23#534×C83C2212yes—
24#525×C83C2211yescharacteristic
25C2×C22⋊Q8×C83C2211yescharacteristic, complemented
26C2×#121×C83C2211yescharacteristic
27C2×#121×C83C2211yescharacteristic
28#485×C83—21no—
29#484×C83—21no—
30#483×C83C2211yescharacteristic, complemented
31#480×C83C2211yescharacteristic, complemented
32#480×C83C2212yescomplemented
33#468×C83—22no—
34#467×C83—21no—
35#465×C83—21no—
36#452×C83—21no—
37#451×C83C2211yescharacteristic, complemented
38#450×C83—21no—
39#448×C83C2211yescharacteristic, complemented
40#448×C83C2212yescomplemented
41#407×C83C2211yescharacteristic, complemented
42C2×C22⋊C8×C83C2211yescharacteristic, complemented
43#400×C83—21no—
44#397×C83C2212yescomplemented
45#394×C83—21no—
46#393×C83C2212yescomplemented
47#386×C83—22no—
48C2×#95×C83C2211yescharacteristic, complemented
49#328×C83C2212yescomplemented
50#327×C83C2212yescomplemented
51#327×C83C2212yescomplemented
52#327×C83C2212yescomplemented
53#323×C83C2212yescomplemented
54#323×C83C2212yescomplemented
55C2×#41×C83D411yescharacteristic
56C22×Q8×C83C2311yescharacteristic
57C22×D4×C83—22no—
58C22×D4×C83—21no—
59C22×D4×C83—21no—
60C22×D4×C83—22no—
61C22×D4×C83D412yes—
62C22×D4×C83D411yescharacteristic
63C22×D4×C83D411yescharacteristic
64C23×C4×C83—21no—
65C23×C4×C83C2311yescharacteristic
66C2×Q16×C83—21no—
67C2×SD16×C83—21no—
68C2×SD16×C83—22no—
69C2×M16×C83—21no—
70C22×C8×C83—21no—
71#127×C83—22no—
72#127×C83—21no—
73#126×C83—22no—
74#126×C83—22no—
75#125×C83—21no—
76#124×C83—22no—
77#123×C83—22no—
78#123×C83—21no—
79#123×C83—22no—
80#123×C83—22no—
81#123×C83—22no—
82C22⋊Q8×C83—21no—
83C22⋊Q8×C83—21no—
84C22⋊Q8×C83—21no—
85C22⋊Q8×C83—21no—
86C22⋊Q8×C83D411yescharacteristic
87C22⋊Q8×C83C2311yescharacteristic
88#121×C83—22no—
89#121×C83—21no—
90#121×C83—21no—
91#121×C83—22no—
92#121×C83—22no—
93#121×C83—22no—
94#121×C83—22no—
95#121×C83—21no—
96#121×C83—21no—
97#121×C83—21no—
98#121×C83—21no—
99#121×C83—21no—
100#121×C83—21no—
101#121×C83—22no—
102#121×C83D411yescharacteristic
103#121×C83D412yes—
104#121×C83C2312yes—
105#121×C83C2311yescharacteristic
106#120×C83—22no—
107#120×C83—22no—
108#120×C83—22no—
109#120×C83—21no—
110#120×C83—22no—
111#120×C83—22no—
112#120×C83—22no—
113C4×D4×C83—22no—
114C4×D4×C83—21no—
115C4×D4×C83—21no—
116C4×D4×C83—21no—
117C4×D4×C83—21no—
118C4×D4×C83—22no—
119#117×C83—21no—
120#117×C83D411yescharacteristic
121C2×C4⋊C4×C83—21no—
122C2×C4⋊C4×C83D411yescharacteristic
123C2×C4⋊C4×C83D411yescharacteristic
124C2×C4⋊C4×C83C2311yescharacteristic
125C2×C22⋊C4×C83—21no—
126C2×C22⋊C4×C83—21no—
127C2×C22⋊C4×C83—22no—
128C2×C22⋊C4×C83—22no—
129C2×C22⋊C4×C83C2312yes—
130#107×C83—21no—
131#107×C83—22no—
132#106×C83—21no—
133#103×C83—21no—
134#103×C83—21no—
135#103×C83—21no—
136#103×C83—22no—
137#102×C83—21no—
138#102×C83—22no—
139C22⋊C8×C83—21no—
140C22⋊C8×C83—21no—
141C22⋊C8×C83C2311yescharacteristic
142C22⋊C8×C83C2312yes—
143C22⋊C8×C83C2311yescharacteristic
144#95×C83—21no—
145#95×C83—22no—
146#95×C83—22no—
147#95×C83C2312yes—
148C24×C83—22no—
149C24×C83—21no—
150C24×C83C2×D411yescharacteristic
151C24×C83C2×D412yes—
152#41×C83—81no—
153C2×Q8×C83—21no—
154C2×Q8×C83—21no—
155C2×Q8×C83—81no—
156C2×Q8×C83C2×D411yescharacteristic
157C2×D4×C83—22no—
158C2×D4×C83—21no—
159C2×D4×C83—21no—
160C2×D4×C83—22no—
161C2×D4×C83—22no—
162C2×D4×C83—22no—
163C2×D4×C83—22no—
164C2×D4×C83—22no—
165C2×D4×C83—22no—
166C2×D4×C83—21no—
167C2×D4×C83—22no—
168C2×D4×C83—22no—
169C2×D4×C83—21no—
170C2×D4×C83—21no—
171C2×D4×C83—21no—
172C2×D4×C83—44no—
173C2×D4×C83—81no—
174C2×D4×C83—82no—
175C2×D4×C83—81no—
176C2×D4×C83—81no—
177C2×D4×C83—81no—
178C2×D4×C83—82no—
179C2×D4×C83—82no—
180C2×D4×C83—84no—
181C2×D4×C83C2×D411yescharacteristic
182C2×D4×C83C2×D412yes—
183C22×C4×C83—22no—
184C22×C4×C83—22no—
185C22×C4×C83—21no—
186C22×C4×C83—21no—
187C22×C4×C83—22no—
188C22×C4×C83—21no—
189C22×C4×C83—21no—
190C22×C4×C83—42no—
191C22×C4×C83—81no—
192C22×C4×C83—81no—
193C22×C4×C83—81no—
194C22×C4×C83C2×D412yes—
195C22×C4×C83C2×D411yescharacteristic
196C22×C4×C83C2×D411yescharacteristic
197C22×C4×C83C2×D411yescharacteristic
198C22×C4×C83C2×D411yescharacteristic
199C22×C4×C83C2×D411yescharacteristic
200C22×C4×C83C2411yescharacteristic
201Q16×C83—81no—
202SD16×C83—81no—
203SD16×C83—82no—
204M16×C83—81no—
205C2×C8×C83—21no—
206C2×C8×C83—22no—
207C2×C8×C83—21no—
208C2×C8×C83—81no—
209C4⋊C4×C83—22no—
210C4⋊C4×C83—22no—
211C4⋊C4×C83—21no—
212C4⋊C4×C83—21no—
213C4⋊C4×C83—21no—
214C4⋊C4×C83—21no—
215C4⋊C4×C83—21no—
216C4⋊C4×C83—21no—
217C4⋊C4×C83—21no—
218C4⋊C4×C83—41no—
219C4⋊C4×C83—41no—
220C4⋊C4×C83C2×D411yescharacteristic
221C4⋊C4×C83C2×D412yes—
222C4⋊C4×C83C2×D411yescharacteristic
223C22⋊C4×C83—22no—
224C22⋊C4×C83—22no—
225C22⋊C4×C83—22no—
226C22⋊C4×C83—22no—
227C22⋊C4×C83—22no—
228C22⋊C4×C83—21no—
229C22⋊C4×C83—21no—
230C22⋊C4×C83—21no—
231C22⋊C4×C83—22no—
232C22⋊C4×C83—21no—
233C22⋊C4×C83—22no—
234C22⋊C4×C83—22no—
235C22⋊C4×C83—22no—
236C22⋊C4×C83—21no—
237C22⋊C4×C83—41no—
238C22⋊C4×C83—41no—
239C22⋊C4×C83—82no—
240C22⋊C4×C83—82no—
241C42×C83—22no—
242C42×C83—21no—
243C23×C83—21no—
244C23×C83—21no—
245C23×C83—22no—
246C23×C83—22no—
247C23×C83—22no—
248C23×C83—21no—
249C23×C83—22no—
250C23×C83—22no—
251C23×C83—41no—
252C23×C83—42no—
253C23×C83—42no—
254C23×C83—42no—
255C23×C83—81no—
256C23×C83—81no—
257C23×C83—82no—
258C23×C83—82no—
259C23×C83—82no—
260C23×C83#12011yescharacteristic
261C23×C83#12011yescharacteristic
262C23×C83C22×D411yescharacteristic
263Q8×C83—41no—
264Q8×C83—42no—
265Q8×C83—41no—
266Q8×C83—41no—
267D4×C83—42no—
268D4×C83—41no—
269D4×C83—42no—
270D4×C83—42no—
271D4×C83—42no—
272D4×C83—41no—
273D4×C83—42no—
274D4×C83—41no—
275D4×C83—44no—
276D4×C83—42no—
277D4×C83—81no—
278D4×C83—82no—
279D4×C83—82no—
280D4×C83—81no—
281D4×C83—82no—
282D4×C83—82no—
283D4×C83—82no—
284D4×C83—82no—
285D4×C83—82no—
286C2×C4×C83—21no—
287C2×C4×C83—22no—
288C2×C4×C83—22no—
289C2×C4×C83—21no—
290C2×C4×C83—21no—
291C2×C4×C83—41no—
292C2×C4×C83—41no—
293C2×C4×C83—41no—
294C2×C4×C83—41no—
295C2×C4×C83—41no—
296C2×C4×C83—41no—
297C2×C4×C83—42no—
298C2×C4×C83—42no—
299C2×C4×C83—42no—
300C2×C4×C83—42no—
301C2×C4×C83—42no—
302C2×C4×C83—41no—
303C2×C4×C83—41no—
304C2×C4×C83—41no—
305C2×C4×C83—42no—
306C2×C4×C83—41no—
307C2×C4×C83—81no—
308C2×C4×C83—82no—
309C2×C4×C83—82no—
310C2×C4×C83—84no—
311C2×C4×C83#12011yescharacteristic
312C2×C4×C83#12011yescharacteristic
313C2×C4×C83C22×D411yescharacteristic
314C2×C4×C83C22×D411yescharacteristic
315C8×C83—41no—
316C8×C83—41no—
317C8×C83—42no—
318C22×C83—21no—
319C22×C83—21no—
320C22×C83—21no—
321C22×C83—21no—
322C22×C83—21no—
323C22×C83—21no—
324C22×C83—21no—
325C22×C83—42no—
326C22×C83—42no—
327C22×C83—42no—
328C22×C83—42no—
329C22×C83—41no—
330C22×C83—42no—
331C22×C83—42no—
332C22×C83—41no—
333C22×C83—41no—
334C22×C83—42no—
335C22×C83—42no—
336C22×C83—82no—
337C22×C83—82no—
338C22×C83—162no—
339C22×C83—164no—
340C22×C83#45512yes—
341C22×C83C2×#12011yescharacteristic
342C22×C83#57611yescharacteristic
343C22×C83#57711yescharacteristic
344C4×C83—21no—
345C4×C83—21no—
346C4×C83—21no—
347C4×C83—21no—
348C4×C83—42no—
349C4×C83—41no—
350C4×C83—42no—
351C4×C83—41no—
352C4×C83—41no—
353C4×C83—82no—
354C4×C83—81no—
355C4×C83—81no—
356#18419C8311yesmaximal, characteristic, direct product factor, Sylow
357C2×C83—21no—
358C2×C83—21no—
359C2×C83—22no—
360C2×C83—41no—
361C2×C83—82no—
362C2×C83—82no—
363C2×C83—81no—
364C2×C83#301211yescharacteristic
365C2×C83C2×#45511yescharacteristic
366C2×C83#302611yescharacteristic
367#3537C2×C8311yescharacteristic
368#3193C2×C8311yescharacteristic, complemented
369#3190C2×C8311yescharacteristic, complemented
370#2639C2×C8311yescharacteristic, complemented
371#1612C2×C8312yescomplemented
372#1607C2×C8312yescomplemented
373#1606C2×C8312yescomplemented
374#1601C2×C8312yescomplemented
375#1504C2×C8311yescharacteristic, complemented
376C2×#327C2×C8311yescharacteristic, complemented
377#1471C2×C8311yescharacteristic, complemented
378C83#1841911yescharacteristic, direct product factor, Sylow
379#560—22no—
380#553—21no—
381#553—21no—
382D42—22no—
383D42—21no—
384D42—21no—
385#540—21no—
386#538—21no—
387#538C22×C8312yes—
388#535—21no—
389#534—21no—
390#534C22×C8312yes—
391#525C22×C8311yescharacteristic
392C2×C22⋊Q8C22×C8311yescharacteristic, complemented
393C2×#121C22×C8311yescharacteristic
394C2×#121C22×C8311yescharacteristic
395#485—21no—
396#484—21no—
397#483C22×C8311yescharacteristic, complemented
398#480C22×C8311yescharacteristic, complemented
399#480C22×C8312yescomplemented
400#468—22no—
401#467—21no—
402#465—21no—
403#452—21no—
404#451C22×C8311yescharacteristic, complemented
405#450—21no—
406#448C22×C8311yescharacteristic, complemented
407#448C22×C8312yescomplemented
408#407C22×C8311yescharacteristic, complemented
409C2×C22⋊C8C22×C8311yescharacteristic, complemented
410#400—21no—
411#397C22×C8312yescomplemented
412#394—21no—
413#393C22×C8312yescomplemented
414#386—22no—
415C2×#95C22×C8311yescharacteristic, complemented
416#328C22×C8312yescomplemented
417#327C22×C8312yescomplemented
418#327C22×C8312yescomplemented
419#327C22×C8312yescomplemented
420#323C22×C8312yescomplemented
421#323C22×C8312yescomplemented
422C2×#41D4×C8311yescharacteristic
423C22×Q8C23×C8311yescharacteristic
424C22×D4—22no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—22no—
428C22×D4D4×C8312yes—
429C22×D4D4×C8311yescharacteristic
430C22×D4D4×C8311yescharacteristic
431C23×C4—21no—
432C23×C4C23×C8311yescharacteristic
433C2×Q16—21no—
434C2×SD16—22no—
435C2×SD16—21no—
436C2×M16—21no—
437C22×C8—21no—
438#127—22no—
439#127—21no—
440#126—22no—
441#126—22no—
442#125—21no—
443#124—22no—
444#123—22no—
445#123—21no—
446#123—22no—
447#123—22no—
448#123—22no—
449C22⋊Q8—21no—
450C22⋊Q8—21no—
451C22⋊Q8—21no—
452C22⋊Q8—21no—
453C22⋊Q8D4×C8311yescharacteristic
454C22⋊Q8C23×C8311yescharacteristic
455#121—22no—
456#121—21no—
457#121—21no—
458#121—22no—
459#121—22no—
460#121—22no—
461#121—22no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—22no—
469#121D4×C8312yes—
470#121D4×C8311yescharacteristic
471#121C23×C8312yes—
472#121C23×C8311yescharacteristic
473#120—22no—
474#120—22no—
475#120—22no—
476#120—21no—
477#120—22no—
478#120—22no—
479#120—22no—
480C4×D4—22no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—21no—
485C4×D4—22no—
486#117—21no—
487#117D4×C8311yescharacteristic
488C2×C4⋊C4—21no—
489C2×C4⋊C4D4×C8311yescharacteristic
490C2×C4⋊C4D4×C8311yescharacteristic
491C2×C4⋊C4C23×C8311yescharacteristic
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—22no—
495C2×C22⋊C4—22no—
496C2×C22⋊C4C23×C8312yes—
497#107—21no—
498#107—22no—
499#106—21no—
500#103—21no—
501#103—21no—
502#103—22no—
503#103—21no—
504#102—22no—
505#102—21no—
506C22⋊C8—21no—
507C22⋊C8—21no—
508C22⋊C8C23×C8311yescharacteristic
509C22⋊C8C23×C8311yescharacteristic
510C22⋊C8C23×C8312yes—
511#95—21no—
512#95—22no—
513#95—22no—
514#95C23×C8312yes—
515C24—22no—
516C24—21no—
517C24C2×D4×C8311yescharacteristic
518C24C2×D4×C8312yes—
519#41—81no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—81no—
523C2×Q8C2×D4×C8311yescharacteristic
524C2×D4—22no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—21no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—44no—
540C2×D4—81no—
541C2×D4—82no—
542C2×D4—81no—
543C2×D4—81no—
544C2×D4—81no—
545C2×D4—82no—
546C2×D4—82no—
547C2×D4—84no—
548C2×D4C2×D4×C8311yescharacteristic
549C2×D4C2×D4×C8312yes—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—22no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—42no—
558C22×C4—81no—
559C22×C4—81no—
560C22×C4—81no—
561C22×C4C2×D4×C8312yes—
562C22×C4C2×D4×C8311yescharacteristic
563C22×C4C2×D4×C8311yescharacteristic
564C22×C4C2×D4×C8311yescharacteristic
565C22×C4C2×D4×C8311yescharacteristic
566C22×C4C2×D4×C8311yescharacteristic
567C22×C4C24×C8311yescharacteristic
568Q16—81no—
569SD16—81no—
570SD16—82no—
571M16—81no—
572C2×C8—21no—
573C2×C8—22no—
574C2×C8—21no—
575C2×C8—81no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—41no—
586C4⋊C4—41no—
587C4⋊C4C2×D4×C8311yescharacteristic
588C4⋊C4C2×D4×C8312yes—
589C4⋊C4C2×D4×C8311yescharacteristic
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—22no—
599C22⋊C4—21no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—21no—
604C22⋊C4—41no—
605C22⋊C4—41no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C42—22no—
609C42—21no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—22no—
614C23—21no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—81no—
623C23—81no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23#120×C8311yescharacteristic
628C23#120×C8311yescharacteristic
629C23C22×D4×C8311yescharacteristic
630Q8—41no—
631Q8—42no—
632Q8—41no—
633Q8—41no—
634D4—42no—
635D4—41no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—41no—
640D4—42no—
641D4—41no—
642D4—44no—
643D4—42no—
644D4—81no—
645D4—82no—
646D4—82no—
647D4—81no—
648D4—82no—
649D4—82no—
650D4—82no—
651D4—82no—
652D4—82no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4—84no—
678C2×C4#120×C8311yescharacteristic
679C2×C4#120×C8311yescharacteristic
680C2×C4C22×D4×C8311yescharacteristic
681C2×C4C22×D4×C8311yescharacteristic
682C8—41no—
683C8—41no—
684C8—42no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—41no—
700C22—42no—
701C22—42no—
702C22—41no—
703C22—82no—
704C22—82no—
705C22—162no—
706C22—164no—
707C22#455×C8312yes—
708C22C2×#120×C8311yescharacteristic
709C22#576×C8311yescharacteristic
710C22#577×C8311yescharacteristic
711C4—21no—
712C4—21no—
713C4—21no—
714C4—21no—
715C4—41no—
716C4—42no—
717C4—41no—
718C4—42no—
719C4—41no—
720C4—82no—
721C4—81no—
722C4—81no—
723C2—21no—
724C2—21no—
725C2—22no—
726C2—41no—
727C2—82no—
728C2—81no—
729C2—82no—
730C2C83×#301211yescharacteristic
731C2C2×#455×C8311yescharacteristic
732C2C83×#302611yescharacteristic
subgroupG/H
center, socleC22×C83C2×#120
commutator, Frattini, cosocleC22×C4C24×C83
prime radicalC83×#3537C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C83 ◁ C23×C4×C83 ◁ G

Complements

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

NH ≅ G/Ntype
2. C83×#3193C2semidirect
3. C83×#3190C2semidirect
4. C83×#2639C2semidirect
5. C83×#1612C2semidirect
6. C83×#1607C2semidirect
7. C83×#1606C2semidirect
8. C83×#1601C2semidirect
9. C83×#1504C2semidirect
10. C2×#327×C83C2semidirect
11. C83×#1471C2semidirect
25. C2×C22⋊Q8×C83C22semidirect
30. #483×C83C22semidirect
31. #480×C83C22semidirect
32. #480×C83C22semidirect
37. #451×C83C22semidirect
39. #448×C83C22semidirect
40. #448×C83C22semidirect
41. #407×C83C22semidirect
42. C2×C22⋊C8×C83C22semidirect
44. #397×C83C22semidirect
46. #393×C83C22semidirect
48. C2×#95×C83C22semidirect
49. #328×C83C22semidirect
50. #327×C83C22semidirect
51. #327×C83C22semidirect
52. #327×C83C22semidirect
53. #323×C83C22semidirect
54. #323×C83C22semidirect
356. #18419C83direct (N × H)
368. #3193C2×C83semidirect
369. #3190C2×C83semidirect
370. #2639C2×C83semidirect
371. #1612C2×C83semidirect
372. #1607C2×C83semidirect
373. #1606C2×C83semidirect
374. #1601C2×C83semidirect
375. #1504C2×C83semidirect
376. C2×#327C2×C83semidirect
377. #1471C2×C83semidirect
378. C83#18419direct (N × H)
392. C2×C22⋊Q8C22×C83semidirect
397. #483C22×C83semidirect
398. #480C22×C83semidirect
399. #480C22×C83semidirect
404. #451C22×C83semidirect
406. #448C22×C83semidirect
407. #448C22×C83semidirect
408. #407C22×C83semidirect
409. C2×C22⋊C8C22×C83semidirect
411. #397C22×C83semidirect
413. #393C22×C83semidirect
415. C2×#95C22×C83semidirect
416. #328C22×C83semidirect
417. #327C22×C83semidirect
418. #327C22×C83semidirect
419. #327C22×C83semidirect
420. #323C22×C83semidirect
421. #323C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35372
C83×#31932
C83×#31902
C83×#26392
C83×#16122
C83×#16072
C83×#16062
C83×#16012
C83×#15042
C2×#327×C832
C83×#14712
#1841983