Finite Group Databasebeta

← #2851×D83 #35610269

Subgroups — #2851×D83 #35610269

Order 21248.

3182 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D83C211yesmaximal, characteristic, complemented
2C22×C42×D83C211yesmaximal, characteristic
3#24915774C211yesmaximal, characteristic, complemented
4#24915773C211yesmaximal, characteristic, complemented
5#24915772C212yesmaximal, complemented
6#24915771C212yesmaximal, complemented
7#24915770C214yesmaximal, complemented
8#24915769C214yesmaximal, complemented
9#24915768C211yesmaximal, characteristic, complemented
10#389×D83C212yesmaximal, complemented
11#387×D83C214yesmaximal, complemented
12#385×D83C214yesmaximal
13#382×D83C211yesmaximal, characteristic, complemented
14#380×D83C212yesmaximal
15C83×#2851C211yesmaximal, characteristic, complemented
16C23×C4×D83C2212yes—
17C23×C4×D83C2211yescharacteristic
18C2×#14581784C2211yescharacteristic, complemented
19C2×#14581783C2212yescomplemented
20C2×#14581782C2214yescomplemented
21#125×D83—28no—
22C2×C4⋊C4×D83C2212yes—
23C2×C4⋊C4×D83C2212yes—
24C2×C4⋊C4×D83C2214yes—
25C2×C4⋊C4×D83C2214yes—
26C2×C22⋊C4×D83C2214yes—
27C22×C4×Dic83C2212yes—
28C22×C4×Dic83C2211yescharacteristic
29C2×C42×D83—28no—
30C2×C42×D83C2211yescharacteristic
31C2×C42×D83C2212yes—
32C2×C42×D83C2212yes—
33C2×C42×D83C2211yescharacteristic
34C2×C42×D83C2211yescharacteristic
35C2×C42×D83C2211yescharacteristic
36#19127600C2212yescomplemented
37#19127599C2212yescomplemented
38#19127598C2214yescomplemented
39#19127597C2212yescomplemented
40#19127596C2214yescomplemented
41#19127588C2214yescomplemented
42#19127587C2214yescomplemented
43#19127586C2214yescomplemented
44#19127585C2214yescomplemented
45#19127584C2214yescomplemented
46#19127583C2214yescomplemented
47#19127582C2214yescomplemented
48#19127576C2214yes—
49#19127575C2214yes—
50#19127575C2214yes—
51#19127574C2214yes—
52#19127573C2214yes—
53#19127572C2214yes—
54#19127572C2214yes—
55#19127567C2211yescharacteristic, complemented
56#19127566C2212yescomplemented
57#19127565C2214yescomplemented
58#19127561C2212yes—
59#19127560C2214yes—
60#19127559C2214yes—
61#19127558C2212yes—
62#19127558C2212yes—
63#95×D83C2214yes—
64#95×D83C2214yes—
65#95×D83C2214yes—
66C2×#125×C83C2211yescharacteristic, complemented
67C22×C42×C83C2211yescharacteristic
68#389×C83C2212yescomplemented
69#387×C83C2214yescomplemented
70#385×C83C2214yes—
71#382×C83C2211yescharacteristic, complemented
72#380×C83C2212yes—
73C24×D83C2311yescharacteristic
74C23×Dic83C2312yes—
75C23×Dic83C2311yescharacteristic
76C22×C4×D83—28no—
77C22×C4×D83—28no—
78C22×C4×D83—24no—
79C22×C4×D83—28no—
80C22×C4×D83—24no—
81C22×C4×D83Q818yes—
82C22×C4×D83C2312yes—
83C22×C4×D83C2312yes—
84C22×C4×D83C2314yes—
85C22×C4×D83C2314yes—
86C22×C4×D83C2312yes—
87C22×C4×D83C2311yescharacteristic
88C22×C4×D83C2311yescharacteristic
89C22×C4×D83C2311yescharacteristic
90C22×C4×D83C2312yes—
91C22×C4×D83C2311yescharacteristic
92#14581784—24no—
93#14581783—28no—
94#14581782—216no—
95C2×C4⋊Dic83C2312yes—
96C2×C4⋊Dic83C2312yes—
97C2×C4⋊Dic83C2314yes—
98C2×C4⋊Dic83C2314yes—
99C2×Dic83⋊C4C2314yes—
100C2×Dic83⋊C4C2314yes—
101C2×Dic83⋊C4C2314yes—
102C2×Dic83⋊C4C2314yes—
103C2×Dic83⋊C4C2314yes—
104C2×Dic83⋊C4C2314yes—
105C4⋊C4×D83—216no—
106C4⋊C4×D83—28no—
107C4⋊C4×D83—216no—
108C4⋊C4×D83—28no—
109C2×C22⋊Dic83C2314yes—
110C2×(C2×D83)⋊C4C2314yes—
111C2×(C2×D83)⋊C4C2314yes—
112C22⋊C4×D83—216no—
113C2×C4×Dic83—28no—
114C2×C4×Dic83—24no—
115C2×C4×Dic83C2312yes—
116C2×C4×Dic83C2312yes—
117C2×C4×Dic83C2312yes—
118C2×C4×Dic83C2312yes—
119C2×C4×Dic83C2311yescharacteristic
120C2×C4×Dic83C2312yes—
121C2×C4×Dic83C2311yescharacteristic
122C42×D83—28no—
123C42×D83—24no—
124C42×D83—28no—
125C42×D83—24no—
126C42×D83—24no—
127C42×D83D418yes—
128C83⋊#95C2314yes—
129C83⋊#95C2314yes—
130C83⋊#95C2314yes—
131C83⋊#95C2314yes—
132C83⋊#95C2314yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C83⋊#95C2314yes—
137C23×C4×C83C2312yes—
138C23×C4×C83C2311yescharacteristic
139#125×C83—24no—
140C2×C4⋊C4×C83C2312yes—
141C2×C4⋊C4×C83C2312yes—
142C2×C4⋊C4×C83C2314yes—
143C2×C4⋊C4×C83C2314yes—
144C2×C22⋊C4×C83C2314yes—
145C2×C42×C83—24no—
146C2×C42×C83C2312yes—
147C2×C42×C83C2311yescharacteristic
148C2×C42×C83C2311yescharacteristic
149#95×C83C2314yes—
150#95×C83C2314yes—
151#95×C83C2314yes—
152C23×D83—22no—
153C23×D83—22no—
154C23×D83—24no—
155C23×D83C2×Q814yes—
156C23×D83#4118yes—
157C23×D83C2411yescharacteristic
158C23×D83C2411yescharacteristic
159C22×Dic83—24no—
160C22×Dic83—24no—
161C22×Dic83—22no—
162C22×Dic83—24no—
163C22×Dic83—22no—
164C22×Dic83C2×Q814yes—
165C22×Dic83C2414yes—
166C22×Dic83C2414yes—
167C22×Dic83C2412yes—
168C22×Dic83C2411yescharacteristic
169C22×Dic83C2412yes—
170C22×Dic83C2411yescharacteristic
171C2×C4×D83—264no—
172C2×C4×D83—22no—
173C2×C4×D83—24no—
174C2×C4×D83—24no—
175C2×C4×D83—24no—
176C2×C4×D83—22no—
177C2×C4×D83—24no—
178C2×C4×D83—24no—
179C2×C4×D83—24no—
180C2×C4×D83—24no—
181C2×C4×D83—22no—
182C2×C4×D83—24no—
183C2×C4×D83—22no—
184C2×C4×D83—24no—
185C2×C4×D83—22no—
186C2×C4×D83—24no—
187C2×C4×D83—22no—
188C2×C4×D83—232no—
189C2×C4×D83—28no—
190C2×C4×D83—28no—
191C2×C4×D83—28no—
192C2×C4×D83—28no—
193C2×C4×D83—28no—
194C2×C4×D83—28no—
195C2×C4×D83C2×D418yes—
196C2×C4×D83C2×D414yes—
197C2×C4×D83C2×Q814yes—
198C2×C4×D83C2×Q814yes—
199C2×C4×D83C2×Q814yes—
200C2×C4×D83C2×Q814yes—
201C2×C4×D83#4118yes—
202C2×C4×D83#4114yes—
203C4⋊Dic83—24no—
204C4⋊Dic83—24no—
205C4⋊Dic83—28no—
206C4⋊Dic83—28no—
207Dic83⋊C4—28no—
208Dic83⋊C4—28no—
209Dic83⋊C4—28no—
210Dic83⋊C4—28no—
211Dic83⋊C4—28no—
212Dic83⋊C4—28no—
213C22⋊Dic83—28no—
214(C2×D83)⋊C4—28no—
215(C2×D83)⋊C4—28no—
216C4×Dic83—24no—
217C4×Dic83—22no—
218C4×Dic83—24no—
219C4×Dic83—24no—
220C4×Dic83—24no—
221C4×Dic83C2×D418yes—
222C4×Dic83C2×D414yes—
223C24×C83C2411yescharacteristic
224C22×C4×C83—24no—
225C22×C4×C83—24no—
226C22×C4×C83—22no—
227C22×C4×C83—24no—
228C22×C4×C83—22no—
229C22×C4×C83C2×Q814yes—
230C22×C4×C83C2414yes—
231C22×C4×C83C2414yes—
232C22×C4×C83C2412yes—
233C22×C4×C83C2411yescharacteristic
234C22×C4×C83C2412yes—
235C22×C4×C83C2411yescharacteristic
236C4⋊C4×C83—28no—
237C4⋊C4×C83—24no—
238C4⋊C4×C83—24no—
239C4⋊C4×C83—28no—
240C22⋊C4×C83—28no—
241C42×C83—24no—
242C42×C83—22no—
243C42×C83C2×D414yes—
244C23×C83—21no—
245C23×C83—21no—
246C23×C83—22no—
247C23×C83C22×Q812yes—
248C23×C83C2×#4114yes—
249C23×C83C2511yescharacteristic
250C22×D83—21no—
251C22×D83—21no—
252C22×D83—22no—
253C22×D83—28no—
254C22×D83—216no—
255C22×D83—216no—
256C22×D83—28no—
257C22×D83#125116yescomplemented
258C22×D83C22×D412yes—
259C22×D83C22×Q812yes—
260C22×D83C22×Q812yes—
261C22×D83C2×#4114yes—
262C22×D83C2×#4112yes—
263C22×D83C2×#4114yes—
264C22×D83C2×#4114yes—
265C2×C4×C83—216no—
266C2×C4×C83—21no—
267C2×C4×C83—22no—
268C2×C4×C83—21no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—28no—
273C2×C4×C83—24no—
274C2×C4×C83—24no—
275C2×C4×C83—24no—
276C2×C4×C83—24no—
277C2×C4×C83—24no—
278C2×C4×C83—24no—
279C2×C4×C83C22×D414yes—
280C2×C4×C83C22×D412yes—
281C2×C4×C83C22×Q812yes—
282C2×C4×C83C22×Q812yes—
283C2×C4×C83C2×#4114yes—
284C2×C4×C83C2×#4112yes—
285C2×Dic83—216no—
286C2×Dic83—21no—
287C2×Dic83—22no—
288C2×Dic83—21no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—28no—
293C2×Dic83—24no—
294C2×Dic83—24no—
295C2×Dic83—24no—
296C2×Dic83—24no—
297C2×Dic83—24no—
298C2×Dic83—24no—
299C2×Dic83C22×D414yes—
300C2×Dic83C22×D412yes—
301C2×Dic83C22×Q812yes—
302C2×Dic83C22×Q812yes—
303C2×Dic83C2×#4114yes—
304C2×Dic83C2×#4112yes—
305C4×D83—216no—
306C4×D83—216no—
307C4×D83—28no—
308C4×D83—216no—
309C4×D83—216no—
310C4×D83—28no—
311C4×D83—28no—
312C4×D83—416no—
313C4×D83—416no—
314C4×D83C22⋊Q8116yes—
315C22×C83—22no—
316C22×C83—24no—
317C22×C83—24no—
318C22×C83—22no—
319C22×C83C2×#12514yescomplemented
320C22×C83C23×D411yescharacteristic
321C22×C83C23×Q811yescharacteristic
322C22×C83C22×#4111yescharacteristic
323C22×C83C22×#4112yes—
324C22×C83C22×#4112yes—
325C2×D83—22no—
326C2×D83—24no—
327C2×D83—24no—
328C2×D83—22no—
329C2×D83—232no—
330C2×D83C2×C22⋊Q814yes—
331C2×D83#52518yes—
332C2×D83C2×#12514yes—
333C2×D83C2×#12514yescomplemented
334C2×D83#52918yes—
335C2×D83#53314yes—
336C4×C83—22no—
337C4×C83—24no—
338C4×C83—24no—
339C4×C83—44no—
340C4×C83—44no—
341C4×C83C2×C22⋊Q814yes—
342Dic83—22no—
343Dic83—24no—
344Dic83—24no—
345Dic83—44no—
346Dic83—44no—
347Dic83C2×C22⋊Q814yes—
348C2×#2851—831nomaximal, Sylow
349C2×C83—24no—
350C2×C83C22×C22⋊Q811yescharacteristic
351C2×C83C2×#52512yes—
352C2×C83C22×#12511yescharacteristic
353C2×C83C2×#52912yes—
354C2×C83C2×#53311yescharacteristic
355D83—24no—
356D83#285118yesdirect product factor
357C22×#125—831no—
358C23×C42—831no—
359#2851—831no—
360#2851—832no—
361#2851—834no—
362#2851—834no—
363#2851—831no—
364#2851—832no—
365#2851—831no—
366#2851D8311yescharacteristic, direct product factor
367C2×#389—832no—
368C2×#387—834no—
369C2×#385—834no—
370C2×#382—831no—
371C2×#380—832no—
372C83C2×#285111yescharacteristic, complemented, Sylow
373C24×C4—831no—
374C24×C4—832no—
375C2×#125—834no—
376C2×#125—832no—
377C2×#125—831no—
378C2×#125—1668no—
379C2×#125C2×D8311yescharacteristic, complemented
380C22×C4⋊C4—832no—
381C22×C4⋊C4—834no—
382C22×C4⋊C4—832no—
383C22×C4⋊C4—834no—
384C22×C22⋊C4—834no—
385C22×C42—831no—
386C22×C42—832no—
387C22×C42—831no—
388C22×C42—831no—
389C22×C42—832no—
390C22×C42—831no—
391C22×C42—832no—
392C22×C42—831no—
393C22×C42—1668no—
394C22×C42C2×D8311yescharacteristic
395#389—834no—
396#389—832no—
397#389—832no—
398#389—832no—
399#389—834no—
400#389C2×D8312yescomplemented
401#387—834no—
402#387—834no—
403#387—834no—
404#387—834no—
405#387—834no—
406#387—834no—
407#387—834no—
408#387C2×D8314yescomplemented
409#385—834no—
410#385—834no—
411#385—834no—
412#385—834no—
413#385—834no—
414#385—834no—
415#385—834no—
416#385C2×D8314yes—
417#382—832no—
418#382—831no—
419#382—834no—
420#382C2×D8311yescharacteristic, complemented
421#380—832no—
422#380—832no—
423#380—832no—
424#380—834no—
425#380—834no—
426#380C2×D8312yes—
427C2×#95—834no—
428C2×#95—834no—
429C2×#95—834no—
430C25—831no—
431C23×C4—831no—
432C23×C4—831no—
433C23×C4—838no—
434C23×C4—832no—
435C23×C4—832no—
436C23×C4—831no—
437C23×C4—831no—
438C23×C4—831no—
439C23×C4—832no—
440C23×C4—834no—
441C23×C4—834no—
442C23×C4—832no—
443C23×C4—832no—
444C23×C4—1664no—
445C23×C4—1668no—
446C23×C4—1664no—
447C23×C4—1668no—
448C23×C4—1668no—
449C23×C4C22×D8312yes—
450C23×C4C22×D8311yescharacteristic
451#125—24no—
452#125—16616no—
453#125—1668no—
454#125—1664no—
455C2×C4⋊C4—834no—
456C2×C4⋊C4—832no—
457C2×C4⋊C4—834no—
458C2×C4⋊C4—834no—
459C2×C4⋊C4—834no—
460C2×C4⋊C4—834no—
461C2×C4⋊C4—832no—
462C2×C4⋊C4—834no—
463C2×C4⋊C4—834no—
464C2×C4⋊C4—834no—
465C2×C4⋊C4—1668no—
466C2×C4⋊C4—16616no—
467C2×C4⋊C4—1668no—
468C2×C4⋊C4—16616no—
469C2×C4⋊C4C22×D8312yes—
470C2×C4⋊C4C22×D8314yes—
471C2×C4⋊C4C22×D8312yes—
472C2×C4⋊C4C22×D8314yes—
473C2×C22⋊C4—834no—
474C2×C22⋊C4—834no—
475C2×C22⋊C4—834no—
476C2×C22⋊C4—16616no—
477C2×C22⋊C4C22×D8314yes—
478C2×C42—24no—
479C2×C42—832no—
480C2×C42—831no—
481C2×C42—838no—
482C2×C42—832no—
483C2×C42—832no—
484C2×C42—832no—
485C2×C42—832no—
486C2×C42—831no—
487C2×C42—1668no—
488C2×C42—1664no—
489C2×C42—1664no—
490C2×C42—1668no—
491C2×C42—1668no—
492C2×C42—1664no—
493C2×C42—1664no—
494C2×C42C22×D8312yes—
495C2×C42C22×D8311yescharacteristic
496C2×C42C22×D8311yescharacteristic
497#95—834no—
498#95—834no—
499#95—834no—
500#95—834no—
501#95—834no—
502#95—834no—
503#95—834no—
504#95—834no—
505#95—834no—
506#95C22×D8314yes—
507#95C22×D8314yes—
508#95C22×D8314yes—
509C24—831no—
510C24—834no—
511C24—838no—
512C24—831no—
513C24—1662no—
514C24—1662no—
515C24—1664no—
516C24C23×D8311yescharacteristic
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—22no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—831no—
523C22×C4—834no—
524C22×C4—834no—
525C22×C4—834no—
526C22×C4—834no—
527C22×C4—831no—
528C22×C4—832no—
529C22×C4—832no—
530C22×C4—838no—
531C22×C4—834no—
532C22×C4—834no—
533C22×C4—834no—
534C22×C4—838no—
535C22×C4—834no—
536C22×C4—834no—
537C22×C4—1668no—
538C22×C4—1668no—
539C22×C4—1668no—
540C22×C4—1668no—
541C22×C4—1668no—
542C22×C4—1668no—
543C22×C4—1662no—
544C22×C4—1664no—
545C22×C4—1662no—
546C22×C4—1664no—
547C22×C4—16632no—
548C22×C4—1664no—
549C22×C4—1662no—
550C22×C4—1664no—
551C22×C4—1662no—
552C22×C4—1664no—
553C22×C4—1664no—
554C22×C4—1664no—
555C22×C4—1664no—
556C22×C4—16664no—
557C22×C4—1662no—
558C22×C4—1664no—
559C22×C4—1662no—
560C22×C4—1664no—
561C22×C4—1664no—
562C22×C4—1664no—
563C22×C4—1662no—
564C22×C4—1664no—
565C22×C4—1662no—
566C22×C4Q8×D8314yes—
567C22×C4C23×D8314yes—
568C22×C4C23×D8314yes—
569C22×C4C23×D8312yes—
570C22×C4C23×D8311yescharacteristic
571C22×C4C23×D8312yes—
572C22×C4C23×D8311yescharacteristic
573C4⋊C4—28no—
574C4⋊C4—24no—
575C4⋊C4—28no—
576C4⋊C4—24no—
577C4⋊C4—1668no—
578C4⋊C4—1668no—
579C4⋊C4—1668no—
580C4⋊C4—1668no—
581C4⋊C4—1668no—
582C4⋊C4—1668no—
583C4⋊C4—1668no—
584C4⋊C4—1664no—
585C4⋊C4—1668no—
586C4⋊C4—1664no—
587C22⋊C4—28no—
588C22⋊C4—1668no—
589C22⋊C4—1668no—
590C22⋊C4—1668no—
591C42—24no—
592C42—22no—
593C42—838no—
594C42—834no—
595C42—1664no—
596C42—1664no—
597C42—1664no—
598C42—1664no—
599C42—1662no—
600C42D4×D8314yes—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—832no—
605C23—832no—
606C23—832no—
607C23—834no—
608C23—834no—
609C23—8316no—
610C23—832no—
611C23—834no—
612C23—1668no—
613C23—16616no—
614C23—16616no—
615C23—1668no—
616C23—1661no—
617C23—1661no—
618C23—1662no—
619C23C2×Q8×D8312yes—
620C23#41×D8314yes—
621C23C24×D8311yescharacteristic
622C2×C4—216no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—28no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—33216no—
637C2×C4—33216no—
638C2×C4—832no—
639C2×C4—832no—
640C2×C4—832no—
641C2×C4—8316no—
642C2×C4—834no—
643C2×C4—832no—
644C2×C4—834no—
645C2×C4—1668no—
646C2×C4—1668no—
647C2×C4—16616no—
648C2×C4—16616no—
649C2×C4—16616no—
650C2×C4—16616no—
651C2×C4—1664no—
652C2×C4—1664no—
653C2×C4—1664no—
654C2×C4—1664no—
655C2×C4—1664no—
656C2×C4—1664no—
657C2×C4—1668no—
658C2×C4—16616no—
659C2×C4—1661no—
660C2×C4—1662no—
661C2×C4—1661no—
662C2×C4—1662no—
663C2×C4—1662no—
664C2×C4—1662no—
665C2×C4—1668no—
666C2×C4C2×D4×D8314yes—
667C2×C4C2×D4×D8312yes—
668C2×C4C2×Q8×D8312yes—
669C2×C4C2×Q8×D8312yes—
670C2×C4#41×D8314yes—
671C2×C4#41×D8312yes—
672C22—22no—
673C22—24no—
674C22—24no—
675C22—22no—
676C22—834no—
677C22—838no—
678C22—834no—
679C22—838no—
680C22—834no—
681C22—834no—
682C22—16632no—
683C22—1662no—
684C22—1664no—
685C22—1664no—
686C22—1662no—
687C22#125×D8314yescomplemented
688C22C22×D4×D8311yescharacteristic
689C22C22×Q8×D8311yescharacteristic
690C22C2×#41×D8311yescharacteristic
691C22C2×#41×D8312yes—
692C22C2×#41×D8312yes—
693C4—22no—
694C4—24no—
695C4—24no—
696C4—44no—
697C4—44no—
698C4—3324no—
699C4—3324no—
700C4—834no—
701C4—1662no—
702C4—1664no—
703C4—1664no—
704C4C22⋊Q8×D8314yes—
705C2—24no—
706C2—838no—
707C2—1664no—
708C2C2×C22⋊Q8×D8311yescharacteristic
709C2#525×D8312yes—
710C2C2×#125×D8311yescharacteristic
711C2#529×D8312yes—
712C2#533×D8311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2851C2
prime radicalC24×D83C23
hypercenter#2851D83
hypocenterC83C2×#2851
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C2×#125×D83C2semidirect
3. #24915774C2semidirect
4. #24915773C2semidirect
5. #24915772C2semidirect
6. #24915771C2semidirect
7. #24915770C2semidirect
8. #24915769C2semidirect
9. #24915768C2semidirect
10. #389×D83C2semidirect
11. #387×D83C2semidirect
13. #382×D83C2semidirect
15. C83×#2851C2semidirect
18. C2×#14581784C22semidirect
19. C2×#14581783C22semidirect
20. C2×#14581782C22semidirect
36. #19127600C22semidirect
37. #19127599C22semidirect
38. #19127598C22semidirect
39. #19127597C22semidirect
40. #19127596C22semidirect
41. #19127588C22semidirect
42. #19127587C22semidirect
43. #19127586C22semidirect
44. #19127585C22semidirect
45. #19127584C22semidirect
46. #19127583C22semidirect
47. #19127582C22semidirect
55. #19127567C22semidirect
56. #19127566C22semidirect
57. #19127565C22semidirect
66. C2×#125×C83C22semidirect
68. #389×C83C22semidirect
69. #387×C83C22semidirect
71. #382×C83C22semidirect
257. C22×D83#125semidirect
319. C22×C83C2×#125semidirect
333. C2×D83C2×#125semidirect
356. D83#2851direct (N × H)
366. #2851D83direct (N × H)
372. C83C2×#2851semidirect
379. C2×#125C2×D83semidirect
400. #389C2×D83semidirect
408. #387C2×D83semidirect
420. #382C2×D83semidirect
687. C22#125×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D832
C22×C42×D832
#249157742
#249157732
#249157722
#249157712
#249157702
#249157692
#249157682
#389×D832
#387×D832
#385×D832
#382×D832
#380×D832
C83×#28512
C2×#285183