Finite Group Databasebeta

← #35564683

Subgroups — #35564683

Order 21248.

3534 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128212C211yesmaximal, characteristic
2C2×#19128181C211yesmaximal, characteristic, complemented
3C23×C4⋊Dic83C211yesmaximal, characteristic, complemented
4#24910477C214yesmaximal, complemented
5#24910466C214yesmaximal, complemented
6#24910394C214yesmaximal, complemented
7#24910359C214yesmaximal, complemented
8#24910129C214yesmaximal, complemented
9#24910083C211yesmaximal, characteristic, complemented
10#24910051C211yesmaximal, characteristic, complemented
11#24909962C214yesmaximal, complemented
12#24909819C211yesmaximal, characteristic, complemented
13C83×#2280C211yesmaximal, characteristic, complemented
14C22×#13050590C2211yescharacteristic
15C24×Dic83C2212yes—
16#19128212C4116yescomplemented
17C2×#14581775C2212yes—
18C2×#14581771C2212yes—
19C2×#14581766C2212yes—
20C2×#14581761C2212yes—
21#19128181—28no—
22C2×C4×Dic166C2212yescomplemented
23C2×C4×D332C2212yescomplemented
24C2×C4×C22⋊D83C2214yes—
25C2×(C22⋊D83)⋊C4C2214yes—
26C2×(C22⋊D83)⋊C4C2218yes—
27C2×#14581751C2211yescharacteristic
28C2×#14581750C2212yescomplemented
29C22×C4⋊Dic83—28no—
30C22×C4⋊Dic83C2211yescharacteristic
31C22×C4⋊Dic83C2214yes—
32C22×C4⋊Dic83C2212yes—
33C22×C4⋊Dic83C2214yes—
34C22×C4⋊Dic83C2211yescharacteristic
35C2×C4⋊C4×D83C2212yescomplemented
36#19127607C2212yescomplemented
37#19127603C2212yescomplemented
38#19127599C2214yescomplemented
39#19127598C2218yescomplemented
40#19127593C2218yescomplemented
41#19127588C2218yescomplemented
42#19127578C2214yes—
43#19127578C2218yes—
44#19127575C2218yescomplemented
45#19127573C2214yes—
46#19127573C2218yes—
47#19127570C2212yescomplemented
48#19127566C2212yescomplemented
49#19127558C2214yescomplemented
50C4⋊C4×Dic83C2214yescomplemented
51C4×C4⋊Dic83C2214yescomplemented
52C22⋊C4×Dic83C2214yes—
53C22⋊C4×Dic83C2218yes—
54C24×C4×C83C2211yescharacteristic
55C2×#117×C83C2211yescharacteristic
56C2×#117×C83C2211yescharacteristic
57#381×C83C2212yes—
58#380×C83C2212yes—
59#380×C83C2212yes—
60#379×C83C2212yes—
61C4×C22⋊C4×C83C2214yes—
62C2×#13050590—24no—
63C2×#13050590—24no—
64C2×#13050590C2×C418yescomplemented
65C22×Dic166C2311yescharacteristic
66C22×D332C2311yescharacteristic
67C22×C22⋊D83C2314yes—
68C22×C22⋊D83C2312yes—
69C23×Dic83—28no—
70C23×Dic83—48no—
71C23×Dic83C2318yes—
72C23×Dic83C2312yes—
73C23×Dic83C2312yes—
74C22×C4×D83C2312yes—
75C22×C4×D83C2314yes—
76#14581775C2×C4116yescomplemented
77#14581771C2×C4116yescomplemented
78#14581766C2×C4116yescomplemented
79#14581761C2×C4116yescomplemented
80C4×Dic166—28no—
81C4×D332—28no—
82C4×C22⋊D83C2×C4132yescomplemented
83(C22⋊D83)⋊C4—216no—
84(C22⋊D83)⋊C4—416no—
85#14581751C2×C418yescomplemented
86#14581750—28no—
87C2×C4⋊Dic83—28no—
88C2×C4⋊Dic83—216no—
89C2×C4⋊Dic83—216no—
90C2×C4⋊Dic83—24no—
91C2×C4⋊Dic83D418yescomplemented
92C2×C4⋊Dic83C2312yes—
93C2×C4⋊Dic83C2318yes—
94C2×C4⋊Dic83C2312yes—
95C2×C4⋊Dic83C2312yes—
96C2×C4⋊Dic83C2312yes—
97C2×C4⋊Dic83C2312yes—
98C2×Dic83⋊C4C2314yes—
99C2×Dic83⋊C4C2318yes—
100C2×Dic83⋊C4C2314yes—
101C4⋊C4×D83—28no—
102C2×C22⋊Dic83C2312yes—
103C2×C22⋊Dic83C2314yes—
104C2×(C2×D83)⋊C4C2314yes—
105C2×(C2×D83)⋊C4C2318yes—
106C2×(C2×D83)⋊C4C2314yes—
107C2×C4×Dic83C2314yes—
108C2×C4×Dic83C2318yes—
109C2×C4×Dic83C2312yes—
110C83⋊#95C2318yes—
111C83⋊#95C2318yes—
112C83⋊#95C2318yes—
113C25×C83C2311yescharacteristic
114C23×C4×C83—24no—
115C23×C4×C83—24no—
116C23×C4×C83C2×C418yescomplemented
117C23×C4×C83C2312yes—
118C23×C4×C83C2312yes—
119C23×C4×C83C2311yescharacteristic
120C23×C4×C83C2311yescharacteristic
121#117×C83—24no—
122#117×C83—24no—
123C2×C4⋊C4×C83C2312yes—
124C2×C4⋊C4×C83C2311yescharacteristic
125C2×C4⋊C4×C83C2311yescharacteristic
126C2×C22⋊C4×C83C2312yes—
127C2×C22⋊C4×C83C2314yes—
128C2×C22⋊C4×C83C2312yes—
129C2×C22⋊C4×C83C2314yes—
130C2×C42×C83C2312yes—
131C2×C42×C83C2312yes—
132#95×C83C2314yes—
133#95×C83C2314yes—
134C23×D83C2412yes—
135#13050590—232no—
136C2×Dic166—22no—
137C2×Dic166—22no—
138C2×Dic166C22×C414yescomplemented
139C2×D332—22no—
140C2×D332—22no—
141C2×D332C22×C414yescomplemented
142C2×C22⋊D83—24no—
143C2×C22⋊D83—24no—
144C2×C22⋊D83—28no—
145C2×C22⋊D83—28no—
146C2×C22⋊D83C22×C4116yes—
147C2×C22⋊D83C22×C418yes—
148C22×Dic83—24no—
149C22×Dic83—216no—
150C22×Dic83—216no—
151C22×Dic83—44no—
152C22×Dic83—48no—
153C22×Dic83—44no—
154C22×Dic83—432no—
155C22×Dic83C2×D418yes—
156C22×Dic83C2414yes—
157C22×Dic83C2412yes—
158C22×Dic83C2414yes—
159C22×Dic83C2414yes—
160C2×C4×D83—24no—
161C2×C4×D83—24no—
162C2×C4×D83—28no—
163C2×C4×D83—48no—
164C2×C4×D83C22×C418yescomplemented
165C4⋊Dic83—24no—
166C4⋊Dic83—24no—
167C4⋊Dic83—216no—
168C4⋊Dic83C22×C418yescomplemented
169C4⋊Dic83C2×D418yes—
170C4⋊Dic83C2×D418yes—
171Dic83⋊C4—28no—
172Dic83⋊C4—48no—
173Dic83⋊C4C22×C4116yescomplemented
174C22⋊Dic83C22×C4116yes—
175C22⋊Dic83C22×C418yes—
176(C2×D83)⋊C4—28no—
177(C2×D83)⋊C4—48no—
178(C2×D83)⋊C4C22×C4116yescomplemented
179C4×Dic83—28no—
180C4×Dic83—48no—
181C4×Dic83C22×C418yescomplemented
182C24×C83—22no—
183C24×C83—22no—
184C24×C83—24no—
185C24×C83—24no—
186C24×C83C22×C414yes—
187C24×C83C2411yescharacteristic
188C24×C83C2412yes—
189C22×C4×C83—22no—
190C22×C4×C83—22no—
191C22×C4×C83—232no—
192C22×C4×C83—24no—
193C22×C4×C83—24no—
194C22×C4×C83—24no—
195C22×C4×C83—24no—
196C22×C4×C83C22×C418yes—
197C22×C4×C83C22×C414yes—
198C22×C4×C83C22×C418yes—
199C22×C4×C83C22×C414yes—
200C22×C4×C83C2×D414yes—
201C22×C4×C83#4114yes—
202C22×C4×C83C2412yes—
203C22×C4×C83C2412yes—
204C22×C4×C83C2414yes—
205C22×C4×C83C2412yes—
206C22×C4×C83C2411yescharacteristic
207C22×C4×C83C2411yescharacteristic
208C4⋊C4×C83—22no—
209C4⋊C4×C83—22no—
210C4⋊C4×C83—24no—
211C22⋊C4×C83—24no—
212C22⋊C4×C83—24no—
213C22⋊C4×C83—28no—
214C22⋊C4×C83—28no—
215C42×C83—24no—
216C42×C83—24no—
217C23×C83—28no—
218C23×C83—216no—
219C23×C83—28no—
220C23×C83—28no—
221C23×C83—216no—
222C23×C83—22no—
223C23×C83—22no—
224C23×C83—22no—
225C23×C83—22no—
226C23×C83—22no—
227C23×C83—22no—
228C23×C83C23×C412yes—
229C23×C83C23×C414yes—
230C23×C83C22×D412yes—
231C23×C83C2×#4112yes—
232C23×C83H(5,𝔽2)14yes—
233C23×C832−1+414yes—
234C23×C83C2511yescharacteristic
235C22×D83—22no—
236C22×D83—22no—
237C22×D83—24no—
238C22×D83—24no—
239C22×D83C23×C414yes—
240C2×C4×C83—28no—
241C2×C4×C83—22no—
242C2×C4×C83—22no—
243C2×C4×C83—216no—
244C2×C4×C83—216no—
245C2×C4×C83—22no—
246C2×C4×C83—22no—
247C2×C4×C83—24no—
248C2×C4×C83—24no—
249C2×C4×C83—24no—
250C2×C4×C83—24no—
251C2×C4×C83—24no—
252C2×C4×C83C4×D4116yescomplemented
253C2×C4×C83C23×C414yes—
254C2×C4×C83C23×C412yes—
255C2×C4×C83C23×C412yes—
256C2×C4×C83C22×D412yes—
257C2×C4×C83C22×D412yes—
258C2×C4×C83C2×#4112yes—
259C2×C4×C83C2×#4112yes—
260C22⋊D83—216no—
261C22⋊D83—232no—
262C2×Dic83—22no—
263C2×Dic83—22no—
264C2×Dic83—24no—
265C2×Dic83—28no—
266C2×Dic83—24no—
267C2×Dic83—24no—
268C2×Dic83—28no—
269C2×Dic83—48no—
270C2×Dic83—432no—
271C2×Dic83—48no—
272C2×Dic83C23×C418yes—
273C2×Dic83C23×C414yes—
274C2×Dic83C22×D418yes—
275D332—28no—
276C4×D83—216no—
277C4×D83—88no—
278Dic166—28no—
279C22×C83—232no—
280C22×C83—24no—
281C22×C83—24no—
282C22×C83—24no—
283C22×C83—22no—
284C22×C83—24no—
285C22×C83—22no—
286C22×C83—24no—
287C22×C83—24no—
288C22×C83—24no—
289C22×C83—24no—
290C22×C83C2×C4×D414yes—
291C22×C83#52018yescomplemented
292C22×C83C24×C411yescharacteristic
293C22×C83C23×D411yescharacteristic
294C22×C83C22×#4111yescharacteristic
295C22×C83C2×H(5,𝔽2)12yes—
296C22×C83C2×2−1+412yes—
297C2×D83—24no—
298C2×D83—28no—
299C2×D83—42no—
300C2×D83—42no—
301C2×D83—44no—
302C4×C83—24no—
303C4×C83—42no—
304C4×C83—42no—
305C4×C83—44no—
306C4×C83C2×C4×D414yes—
307C4×C83C2×C4×D414yes—
308Dic83—24no—
309Dic83—28no—
310Dic83—28no—
311Dic83—44no—
312#34200—831nomaximal, Sylow
313C2×C83—24no—
314C2×C83—28no—
315C2×C83C22×C4×D411yescharacteristic
316C2×C83C2×#52012yes—
317C2×C83#348411yescharacteristic
318C2×C83#348611yescharacteristic
319C2×C83#349212yes—
320D83—44no—
321C2×#525—831no—
322C2×#520—831no—
323C23×C4⋊C4—831no—
324#2361—834no—
325#2360—834no—
326#2352—834no—
327D4×C4⋊C4—834no—
328#2322—834no—
329#2317—831no—
330#2311—831no—
331C4×#120—834no—
332#2280D8311yescharacteristic, complemented
333#2274—831no—
334C83#3420011yescharacteristic, complemented, Sylow
335C22×#41—831no—
336C24×C4—832no—
337C24×C4C2×D8311yescharacteristic
338#525—8316no—
339C2×#123—832no—
340C2×C22⋊Q8—832no—
341C2×#121—832no—
342C2×#120—832no—
343#520—1668no—
344C2×C4×Q8—832no—
345C2×C4×D4—834no—
346C2×C4×D4—838no—
347C2×C4×D4—834no—
348C2×C4×D4—832no—
349C2×#117—831no—
350C2×#117—832no—
351C2×#117C2×D8311yescharacteristic
352C2×#117C2×D8311yescharacteristic
353C22×C4⋊C4—831no—
354C22×C4⋊C4—831no—
355C22×C4⋊C4—832no—
356C22×C4⋊C4—834no—
357C22×C4⋊C4—834no—
358C22×C4⋊C4—832no—
359C22×C4⋊C4—1668no—
360#391—832no—
361#390—832no—
362#389—834no—
363#389—838no—
364#388—838no—
365#387—838no—
366#386—834no—
367#386—838no—
368#385—834no—
369#385—838no—
370#385—838no—
371#384—832no—
372#382—832no—
373#381C2×D8312yes—
374#380—834no—
375#380C2×D8312yes—
376#380C2×D8312yes—
377#379C2×D8312yes—
378C4×C4⋊C4—834no—
379C4×C4⋊C4—834no—
380C4×C22⋊C4—834no—
381C4×C22⋊C4—838no—
382C4×C22⋊C4C2×D8314yes—
383C25C22×D8311yescharacteristic
384C2×#41—838no—
385C2×#41—1664no—
386C2×#41—1664no—
387C22×Q8—831no—
388C22×D4—834no—
389C22×D4—832no—
390C22×D4—831no—
391C23×C4—24no—
392C23×C4—24no—
393C23×C4—3328no—
394C23×C4—832no—
395C23×C4—832no—
396C23×C4—834no—
397C23×C4—838no—
398C23×C4—832no—
399C23×C4—1668no—
400C23×C4C4×D8318yescomplemented
401C23×C4C22×D8312yes—
402C23×C4C22×D8312yes—
403C23×C4C22×D8311yescharacteristic
404C23×C4C22×D8311yescharacteristic
405#123—8316no—
406C22⋊Q8—8316no—
407#121—8316no—
408#120—8316no—
409C4×Q8—1668no—
410C4×D4—33216no—
411C4×D4—8332no—
412C4×D4—1668no—
413C4×D4—16616no—
414#117—24no—
415#117—24no—
416#117—838no—
417#117—1668no—
418C2×C4⋊C4—838no—
419C2×C4⋊C4—838no—
420C2×C4⋊C4—832no—
421C2×C4⋊C4—832no—
422C2×C4⋊C4—832no—
423C2×C4⋊C4—834no—
424C2×C4⋊C4—832no—
425C2×C4⋊C4—838no—
426C2×C4⋊C4—832no—
427C2×C4⋊C4—834no—
428C2×C4⋊C4—1668no—
429C2×C4⋊C4—16616no—
430C2×C4⋊C4—16616no—
431C2×C4⋊C4—1668no—
432C2×C4⋊C4—1664no—
433C2×C4⋊C4C22×D8311yescharacteristic
434C2×C4⋊C4C22×D8311yescharacteristic
435C2×C4⋊C4C22×D8312yes—
436C2×C22⋊C4—838no—
437C2×C22⋊C4—832no—
438C2×C22⋊C4—834no—
439C2×C22⋊C4—834no—
440C2×C22⋊C4—834no—
441C2×C22⋊C4C22×D8312yes—
442C2×C22⋊C4C22×D8312yes—
443C2×C22⋊C4C22×D8314yes—
444C2×C22⋊C4C22×D8314yes—
445C2×C42—838no—
446C2×C42—832no—
447C2×C42—834no—
448C2×C42C22×D8312yes—
449C2×C42C22×D8312yes—
450#95—838no—
451#95—838no—
452#95—838no—
453#95C22×D8314yes—
454#95C22×D8314yes—
455C24—22no—
456C24—22no—
457C24—24no—
458C24—24no—
459C24—832no—
460C24C2×C4×D8314yes—
461C24C23×D8311yescharacteristic
462C24C23×D8312yes—
463#41—16632no—
464C2×Q8—834no—
465C2×Q8—1662no—
466C2×Q8—1662no—
467C2×D4—8316no—
468C2×D4—838no—
469C2×D4—834no—
470C2×D4—1664no—
471C2×D4—1664no—
472C2×D4—1668no—
473C2×D4—1668no—
474C2×D4—1662no—
475C2×D4—1662no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—232no—
483C22×C4—3328no—
484C22×C4—33232no—
485C22×C4—3324no—
486C22×C4—3328no—
487C22×C4—3324no—
488C22×C4—838no—
489C22×C4—834no—
490C22×C4—832no—
491C22×C4—834no—
492C22×C4—838no—
493C22×C4—834no—
494C22×C4—1668no—
495C22×C4—16616no—
496C22×C4—1664no—
497C22×C4—16616no—
498C22×C4—1664no—
499C22×C4—1664no—
500C22×C4C2×C4×D8318yes—
501C22×C4C2×C4×D8318yes—
502C22×C4C2×C4×D8314yes—
503C22×C4C2×C4×D8314yes—
504C22×C4D4×D8314yes—
505C22×C4#1305058914yes—
506C22×C4C23×D8312yes—
507C22×C4C23×D8314yes—
508C22×C4C23×D8312yes—
509C22×C4C23×D8312yes—
510C22×C4C23×D8311yescharacteristic
511C22×C4C23×D8311yescharacteristic
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—24no—
515C4⋊C4—3328no—
516C4⋊C4—838no—
517C4⋊C4—8316no—
518C4⋊C4—838no—
519C4⋊C4—838no—
520C4⋊C4—16616no—
521C4⋊C4—1668no—
522C4⋊C4—1664no—
523C4⋊C4—1664no—
524C22⋊C4—24no—
525C22⋊C4—24no—
526C22⋊C4—28no—
527C22⋊C4—28no—
528C22⋊C4—3328no—
529C22⋊C4—838no—
530C22⋊C4—8316no—
531C22⋊C4—8316no—
532C22⋊C4—1668no—
533C42—24no—
534C42—24no—
535C42—3328no—
536C42—838no—
537C42—1668no—
538C23—28no—
539C23—28no—
540C23—216no—
541C23—28no—
542C23—216no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—834no—
550C23—1662no—
551C23—1662no—
552C23—1664no—
553C23—1664no—
554C23C22×C4×D8312yes—
555C23C22×C4×D8314yes—
556C23C2×D4×D8312yes—
557C23C2×#1305058912yes—
558C23#1458183814yes—
559C23#1458183914yes—
560C23C24×D8311yescharacteristic
561Q8—1668no—
562D4—16616no—
563D4—16632no—
564D4—1668no—
565C2×C4—28no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—216no—
569C2×C4—216no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—3328no—
578C2×C4—33232no—
579C2×C4—3328no—
580C2×C4—838no—
581C2×C4—834no—
582C2×C4—838no—
583C2×C4—6648no—
584C2×C4—1664no—
585C2×C4—1668no—
586C2×C4—1662no—
587C2×C4—1662no—
588C2×C4—1664no—
589C2×C4—1668no—
590C2×C4—1664no—
591C2×C4—16616no—
592C2×C4(C22⋊D83)⋊C4116yescomplemented
593C2×C4C22×C4×D8314yes—
594C2×C4C22×C4×D8312yes—
595C2×C4C22×C4×D8312yes—
596C2×C4C2×D4×D8312yes—
597C2×C4C2×D4×D8312yes—
598C2×C4C2×#1305058912yes—
599C2×C4C2×#1305058912yes—
600C22—232no—
601C22—22no—
602C22—24no—
603C22—22no—
604C22—24no—
605C22—24no—
606C22—24no—
607C22—24no—
608C22—24no—
609C22—24no—
610C22—24no—
611C22—3322no—
612C22—3322no—
613C22—3324no—
614C22—1664no—
615C22—1668no—
616C22C2×(C22⋊D83)⋊C414yes—
617C22#1912818118yescomplemented
618C22C23×C4×D8311yescharacteristic
619C22C22×D4×D8311yescharacteristic
620C22C22×#1305058911yescharacteristic
621C22C2×#1458183812yes—
622C22C2×#1458183912yes—
623C4—24no—
624C4—42no—
625C4—42no—
626C4—44no—
627C4—3324no—
628C4—1668no—
629C4—1664no—
630C4—1668no—
631C4C2×(C22⋊D83)⋊C414yes—
632C4C2×(C22⋊D83)⋊C414yes—
633C2—24no—
634C2—28no—
635C2—3324no—
636C2C22×(C22⋊D83)⋊C411yescharacteristic
637C2C2×#1912818112yes—
638C2#2492109611yescharacteristic
639C2#2492111011yescharacteristic
640C2#2492116912yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2280C2
socle, cosocleC23×C83C25
prime radicalC2×#19128212C2
hypercenter#2280D83
hypocenterC83#34200
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. C2×#19128181C2semidirect
3. C23×C4⋊Dic83C2semidirect
4. #24910477C2semidirect
5. #24910466C2semidirect
6. #24910394C2semidirect
7. #24910359C2semidirect
8. #24910129C2semidirect
9. #24910083C2semidirect
10. #24910051C2semidirect
11. #24909962C2semidirect
12. #24909819C2semidirect
13. C83×#2280C2semidirect
16. #19128212C4semidirect
22. C2×C4×Dic166C22semidirect
23. C2×C4×D332C22semidirect
28. C2×#14581750C22semidirect
35. C2×C4⋊C4×D83C22semidirect
36. #19127607C22semidirect
37. #19127603C22semidirect
38. #19127599C22semidirect
39. #19127598C22semidirect
40. #19127593C22semidirect
41. #19127588C22semidirect
44. #19127575C22semidirect
47. #19127570C22semidirect
48. #19127566C22semidirect
49. #19127558C22semidirect
50. C4⋊C4×Dic83C22semidirect
51. C4×C4⋊Dic83C22semidirect
64. C2×#13050590C2×C4semidirect
76. #14581775C2×C4semidirect
77. #14581771C2×C4semidirect
78. #14581766C2×C4semidirect
79. #14581761C2×C4semidirect
82. C4×C22⋊D83C2×C4semidirect
85. #14581751C2×C4semidirect
91. C2×C4⋊Dic83D4semidirect
116. C23×C4×C83C2×C4semidirect
138. C2×Dic166C22×C4semidirect
141. C2×D332C22×C4semidirect
164. C2×C4×D83C22×C4semidirect
168. C4⋊Dic83C22×C4semidirect
173. Dic83⋊C4C22×C4semidirect
178. (C2×D83)⋊C4C22×C4semidirect
181. C4×Dic83C22×C4semidirect
252. C2×C4×C83C4×D4semidirect
291. C22×C83#520semidirect
332. #2280D83semidirect
334. C83#34200semidirect
400. C23×C4C4×D83semidirect
592. C2×C4(C22⋊D83)⋊C4semidirect
617. C22#19128181semidirect

Maximal subgroups

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

subgroupindex
C2×#191282122
C2×#191281812
C23×C4⋊Dic832
#249104772
#249104662
#249103942
#249103592
#249101292
#249100832
#249100512
#249099622
#249098192
C83×#22802
#3420083