Finite Group Databasebeta

← #35564686

Subgroups — #35564686

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×#19128182C211yesmaximal, characteristic, complemented
3#24910479C214yesmaximal, complemented
4#24910468C214yesmaximal, complemented
5#24910388C214yesmaximal, complemented
6C4⋊C4×C22⋊D83C214yesmaximal, complemented
7#24910132C214yesmaximal, complemented
8#24910087C211yesmaximal, characteristic, complemented
9#24910056C211yesmaximal, characteristic, complemented
10C4×#14581761C214yesmaximal, complemented
11#24909846C211yesmaximal, characteristic, complemented
12#24909820C211yesmaximal, characteristic, complemented
13C23×C4⋊C4×C83C211yesmaximal, characteristic, complemented
14C22×#13050590C2211yescharacteristic
15#19128212C4116yescomplemented
16C2×#14581775C2212yes—
17C2×#14581771C2212yes—
18C2×#14581766C2212yes—
19C2×#14581761C2212yes—
20#19128182—28no—
21C2×#14581757C2212yescomplemented
22C2×#14581754C2212yescomplemented
23C2×C4×C22⋊D83C2214yes—
24C2×C4×C22⋊D83C2218yes—
25C2×C4×C22⋊D83C2214yes—
26C2×#14581751C2211yescharacteristic
27C2×#14581751C2211yescharacteristic
28C2×#14581751C2211yescharacteristic
29C2×#14581750C2212yescomplemented
30C2×C4⋊C4×D83C2212yescomplemented
31#19127606C2212yescomplemented
32#19127602C2212yescomplemented
33#19127597C2214yescomplemented
34#19127596C2218yescomplemented
35#19127591C2218yescomplemented
36#19127582C2218yescomplemented
37#19127580C2214yes—
38#19127580C2218yes—
39#19127574C2214yes—
40#19127574C2218yes—
41#19127572C2218yescomplemented
42#19127570C2212yescomplemented
43#19127566C2212yescomplemented
44#19127564C2212yes—
45#19127561C2212yes—
46#19127561C2212yes—
47#19127558C2214yescomplemented
48#19127557C2212yes—
49C4⋊C4×Dic83C2214yescomplemented
50C4⋊C4×Dic83C2214yescomplemented
51C4×C22⋊Dic83C2214yes—
52C4×C22⋊Dic83C2214yes—
53C4×C22⋊Dic83C2218yes—
54C24×C4×C83C2211yescharacteristic
55C24×C4×C83C2212yes—
56C22×C4⋊C4×C83—28no—
57C22×C4⋊C4×C83C2211yescharacteristic
58C22×C4⋊C4×C83C2214yes—
59C22×C4⋊C4×C83C2212yes—
60C22×C4⋊C4×C83C2214yes—
61C22×C4⋊C4×C83C2211yescharacteristic
62C2×#13050590—24no—
63C2×#13050590—24no—
64C2×#13050590C2×C418yescomplemented
65C22×Dic166C2311yescharacteristic
66C22×D332C2311yescharacteristic
67C22×C22⋊D83C2314yes—
68C22×C22⋊D83C2312yes—
69C22×C4×D83C2312yes—
70C22×C4×D83C2314yes—
71#14581775C2×C4116yescomplemented
72#14581771C2×C4116yescomplemented
73#14581766C2×C4116yescomplemented
74#14581761C2×C4116yescomplemented
75#14581757—28no—
76#14581754—28no—
77C4×C22⋊D83—216no—
78C4×C22⋊D83—416no—
79C4×C22⋊D83C2×C4132yescomplemented
80#14581751—24no—
81#14581751—24no—
82#14581751C2×C418yescomplemented
83#14581750—28no—
84C2×C4⋊Dic83C2312yes—
85C2×C4⋊Dic83C2311yescharacteristic
86C2×C4⋊Dic83C2311yescharacteristic
87C2×C4⋊Dic83C2312yes—
88C2×Dic83⋊C4C2314yes—
89C2×Dic83⋊C4C2318yes—
90C2×Dic83⋊C4C2314yes—
91C4⋊C4×D83—28no—
92C2×C22⋊Dic83C2314yes—
93C2×C22⋊Dic83C2314yes—
94C2×C22⋊Dic83C2312yes—
95C2×C22⋊Dic83C2312yes—
96C2×C22⋊Dic83C2312yes—
97C2×C22⋊Dic83C2314yes—
98C2×(C2×D83)⋊C4C2314yes—
99C2×(C2×D83)⋊C4C2318yes—
100C2×(C2×D83)⋊C4C2314yes—
101C2×C4×Dic83C2312yes—
102C2×C4×Dic83C2314yes—
103C2×C4×Dic83C2312yes—
104C2×C4×Dic83C2318yes—
105C2×C4×Dic83C2312yes—
106C83⋊#95C2318yes—
107C83⋊#95C2318yes—
108C83⋊#95C2314yes—
109C83⋊#95C2314yes—
110C83⋊#95C2318yes—
111C25×C83C2311yescharacteristic
112C23×C4×C83—24no—
113C23×C4×C83—24no—
114C23×C4×C83—28no—
115C23×C4×C83—48no—
116C23×C4×C83C2×C418yescomplemented
117C23×C4×C83C2318yes—
118C23×C4×C83C2312yes—
119C23×C4×C83C2311yescharacteristic
120C23×C4×C83C2312yes—
121C23×C4×C83C2312yes—
122C23×C4×C83C2312yes—
123C23×C4×C83C2311yescharacteristic
124C2×C4⋊C4×C83—28no—
125C2×C4⋊C4×C83—24no—
126C2×C4⋊C4×C83—216no—
127C2×C4⋊C4×C83—216no—
128C2×C4⋊C4×C83D418yescomplemented
129C2×C4⋊C4×C83C2312yes—
130C2×C4⋊C4×C83C2318yes—
131C2×C4⋊C4×C83C2312yes—
132C2×C4⋊C4×C83C2312yes—
133C2×C4⋊C4×C83C2312yes—
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×Dic83C2412yes—
149C22×Dic83C2412yes—
150C22×Dic83C2414yes—
151C22×Dic83C2412yes—
152C22×Dic83C2414yes—
153C2×C4×D83—24no—
154C2×C4×D83—24no—
155C2×C4×D83—28no—
156C2×C4×D83—48no—
157C2×C4×D83C22×C418yescomplemented
158C4⋊Dic83—22no—
159C4⋊Dic83—22no—
160C4⋊Dic83—24no—
161C4⋊Dic83C22×C418yescomplemented
162Dic83⋊C4—28no—
163Dic83⋊C4—48no—
164Dic83⋊C4C22×C4116yescomplemented
165C22⋊Dic83—24no—
166C22⋊Dic83—24no—
167C22⋊Dic83—28no—
168C22⋊Dic83—28no—
169C22⋊Dic83C22×C4116yes—
170C22⋊Dic83C22×C418yes—
171(C2×D83)⋊C4—28no—
172(C2×D83)⋊C4—48no—
173(C2×D83)⋊C4C22×C4116yescomplemented
174C4×Dic83—28no—
175C4×Dic83—24no—
176C4×Dic83—24no—
177C4×Dic83—48no—
178C4×Dic83C22×C418yescomplemented
179C24×C83—22no—
180C24×C83—22no—
181C24×C83—24no—
182C24×C83—24no—
183C24×C83C22×C414yes—
184C24×C83C2411yescharacteristic
185C24×C83C2412yes—
186C22×C4×C83—22no—
187C22×C4×C83—22no—
188C22×C4×C83—232no—
189C22×C4×C83—24no—
190C22×C4×C83—24no—
191C22×C4×C83—24no—
192C22×C4×C83—24no—
193C22×C4×C83—24no—
194C22×C4×C83—216no—
195C22×C4×C83—216no—
196C22×C4×C83—44no—
197C22×C4×C83—48no—
198C22×C4×C83—44no—
199C22×C4×C83—432no—
200C22×C4×C83C22×C418yes—
201C22×C4×C83C22×C414yes—
202C22×C4×C83C22×C418yes—
203C22×C4×C83C22×C414yes—
204C22×C4×C83C2×D418yes—
205C22×C4×C83C2×D414yes—
206C22×C4×C83#4114yes—
207C22×C4×C83C2414yes—
208C22×C4×C83C2412yes—
209C22×C4×C83C2414yes—
210C22×C4×C83C2411yescharacteristic
211C22×C4×C83C2411yescharacteristic
212C4⋊C4×C83—216no—
213C4⋊C4×C83—24no—
214C4⋊C4×C83—24no—
215C4⋊C4×C83C2×D418yes—
216C4⋊C4×C83C2×D418yes—
217C23×C83—28no—
218C23×C83—28no—
219C23×C83—216no—
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—28no—
244C2×C4×C83—216no—
245C2×C4×C83—216no—
246C2×C4×C83—24no—
247C2×C4×C83—28no—
248C2×C4×C83—48no—
249C2×C4×C83—432no—
250C2×C4×C83—48no—
251C2×C4×C83C4×D4116yescomplemented
252C2×C4×C83C23×C414yes—
253C2×C4×C83C23×C412yes—
254C2×C4×C83C23×C412yes—
255C2×C4×C83C22×D418yes—
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—24no—
266C2×Dic83—22no—
267C2×Dic83—22no—
268C2×Dic83—24no—
269C2×Dic83—24no—
270C2×Dic83—24no—
271C2×Dic83—24no—
272C2×Dic83—24no—
273C2×Dic83C23×C418yes—
274C2×Dic83C23×C414yes—
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—28no—
304C4×C83—44no—
305C4×C83C2×C4×D414yes—
306C4×C83C2×C4×D414yes—
307Dic83—24no—
308Dic83—28no—
309Dic83—42no—
310Dic83—42no—
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⋊C4D8311yescharacteristic, complemented
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#2280—831no—
333#2274—831no—
334C83#3420011yescharacteristic, complemented, Sylow
335C22×#41—831no—
336C24×C4C2×D8311yescharacteristic
337C24×C4C2×D8312yes—
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—838no—
346C2×C4×D4—834no—
347C2×C4×D4—834no—
348C2×C4×D4—832no—
349C2×#117—831no—
350C2×#117—831no—
351C2×#117—831no—
352C2×#117—832no—
353C22×C4⋊C4—28no—
354C22×C4⋊C4—832no—
355C22×C4⋊C4C2×D8311yescharacteristic
356C22×C4⋊C4C2×D8312yes—
357C22×C4⋊C4C2×D8314yes—
358C22×C4⋊C4C2×D8314yes—
359C22×C4⋊C4C2×D8311yescharacteristic
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#381—832no—
374#380—832no—
375#380—832no—
376#380—834no—
377#379—832no—
378C4×C4⋊C4—834no—
379C4×C4⋊C4—834no—
380C4×C22⋊C4—834no—
381C4×C22⋊C4—838no—
382C4×C22⋊C4—834no—
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—28no—
394C23×C4—48no—
395C23×C4—834no—
396C23×C4—832no—
397C23×C4C4×D8318yescomplemented
398C23×C4C22×D8318yes—
399C23×C4C22×D8312yes—
400C23×C4C22×D8312yes—
401C23×C4C22×D8311yescharacteristic
402C23×C4C22×D8312yes—
403C23×C4C22×D8312yes—
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—16616no—
413C4×D4—1668no—
414#117—838no—
415#117—1664no—
416#117—1664no—
417#117—1668no—
418C2×C4⋊C4—28no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—216no—
421C2×C4⋊C4—216no—
422C2×C4⋊C4—838no—
423C2×C4⋊C4—832no—
424C2×C4⋊C4—834no—
425C2×C4⋊C4—831no—
426C2×C4⋊C4—834no—
427C2×C4⋊C4—831no—
428C2×C4⋊C4—832no—
429C2×C4⋊C4—1668no—
430C2×C4⋊C4C22⋊D8318yescomplemented
431C2×C4⋊C4C22×D8312yes—
432C2×C4⋊C4C22×D8318yes—
433C2×C4⋊C4C22×D8312yes—
434C2×C4⋊C4C22×D8312yes—
435C2×C4⋊C4C22×D8312yes—
436C2×C22⋊C4—838no—
437C2×C22⋊C4—832no—
438C2×C22⋊C4—834no—
439C2×C22⋊C4—834no—
440C2×C22⋊C4—832no—
441C2×C22⋊C4—832no—
442C2×C22⋊C4—834no—
443C2×C22⋊C4—834no—
444C2×C22⋊C4—834no—
445C2×C42—838no—
446C2×C42—832no—
447C2×C42—834no—
448C2×C42—832no—
449C2×C42—832no—
450#95—838no—
451#95—834no—
452#95—834no—
453#95—838no—
454#95—838no—
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—24no—
484C22×C4—216no—
485C22×C4—216no—
486C22×C4—44no—
487C22×C4—48no—
488C22×C4—44no—
489C22×C4—432no—
490C22×C4—3328no—
491C22×C4—834no—
492C22×C4—832no—
493C22×C4—838no—
494C22×C4—832no—
495C22×C4—834no—
496C22×C4—832no—
497C22×C4—1668no—
498C22×C4—1664no—
499C22×C4—1664no—
500C22×C4C2×C4×D8318yes—
501C22×C4C2×C4×D8318yes—
502C22×C4C2×C4×D8314yes—
503C22×C4C2×C4×D8314yes—
504C22×C4C2×C22⋊D8318yes—
505C22×C4C2×C22⋊D8314yes—
506C22×C4#1305059014yes—
507C22×C4C23×D8314yes—
508C22×C4C23×D8312yes—
509C22×C4C23×D8314yes—
510C22×C4C23×D8311yescharacteristic
511C22×C4C23×D8311yescharacteristic
512C4⋊C4—216no—
513C4⋊C4—24no—
514C4⋊C4—24no—
515C4⋊C4—3328no—
516C4⋊C4—838no—
517C4⋊C4—8316no—
518C4⋊C4—1662no—
519C4⋊C4—1668no—
520C4⋊C4—1662no—
521C4⋊C4—1664no—
522C4⋊C4C2×C22⋊D8318yes—
523C4⋊C4C2×C22⋊D8318yes—
524C22⋊C4—3328no—
525C22⋊C4—838no—
526C22⋊C4—8316no—
527C22⋊C4—8316no—
528C22⋊C4—1664no—
529C22⋊C4—1664no—
530C22⋊C4—1668no—
531C22⋊C4—1668no—
532C22⋊C4—1668no—
533C42—3328no—
534C42—838no—
535C42—1664no—
536C42—1668no—
537C42—1664no—
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—
556C23C22×C22⋊D8312yes—
557C23C2×#1305059012yes—
558C23#1458183714yes—
559C23#1458184014yes—
560C23C24×D8311yescharacteristic
561Q8—1668no—
562D4—16616no—
563D4—16632no—
564D4—1668no—
565C2×C4—28no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—28no—
569C2×C4—216no—
570C2×C4—216no—
571C2×C4—24no—
572C2×C4—28no—
573C2×C4—48no—
574C2×C4—432no—
575C2×C4—48no—
576C2×C4—838no—
577C2×C4—834no—
578C2×C4—6648no—
579C2×C4—1662no—
580C2×C4—1662no—
581C2×C4—1664no—
582C2×C4—1664no—
583C2×C4—1664no—
584C2×C4—1664no—
585C2×C4—1664no—
586C2×C4—1662no—
587C2×C4—1662no—
588C2×C4—1664no—
589C2×C4—1664no—
590C2×C4—16616no—
591C2×C4C4×C22⋊D83116yescomplemented
592C2×C4C22×C4×D8314yes—
593C2×C4C22×C4×D8312yes—
594C2×C4C22×C4×D8312yes—
595C2×C4C22×C22⋊D8318yes—
596C2×C4C22×C22⋊D8312yes—
597C2×C4C22×C22⋊D8312yes—
598C2×C4C2×#1305059012yes—
599C2×C4C2×#1305059012yes—
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×C4×C22⋊D8314yes—
617C22#1912818218yescomplemented
618C22C23×C4×D8311yescharacteristic
619C22C23×C22⋊D8311yescharacteristic
620C22C22×#1305059011yescharacteristic
621C22C2×#1458183712yes—
622C22C2×#1458184012yes—
623C4—28no—
624C4—24no—
625C4—44no—
626C4—3322no—
627C4—3322no—
628C4—3324no—
629C4—1664no—
630C4—1668no—
631C4C2×C4×C22⋊D8314yes—
632C4C2×C4×C22⋊D8314yes—
633C2—24no—
634C2—28no—
635C2—3324no—
636C2C22×C4×C22⋊D8311yescharacteristic
637C2C2×#1912818212yes—
638C2#2492109811yescharacteristic
639C2#2492111411yescharacteristic
640C2#2492117212yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC23×C4⋊C4×C83C2
socle, cosocleC23×C83C25
prime radicalC2×#19128212C2
hypercenterC23×C4⋊C4D83
hypocenterC83#34200
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#19128182C2semidirect
3. #24910479C2semidirect
4. #24910468C2semidirect
5. #24910388C2semidirect
6. C4⋊C4×C22⋊D83C2semidirect
7. #24910132C2semidirect
8. #24910087C2semidirect
9. #24910056C2semidirect
10. C4×#14581761C2semidirect
11. #24909846C2semidirect
12. #24909820C2semidirect
13. C23×C4⋊C4×C83C2semidirect
15. #19128212C4semidirect
21. C2×#14581757C22semidirect
22. C2×#14581754C22semidirect
29. C2×#14581750C22semidirect
30. C2×C4⋊C4×D83C22semidirect
31. #19127606C22semidirect
32. #19127602C22semidirect
33. #19127597C22semidirect
34. #19127596C22semidirect
35. #19127591C22semidirect
36. #19127582C22semidirect
41. #19127572C22semidirect
42. #19127570C22semidirect
43. #19127566C22semidirect
47. #19127558C22semidirect
49. C4⋊C4×Dic83C22semidirect
50. C4⋊C4×Dic83C22semidirect
64. C2×#13050590C2×C4semidirect
71. #14581775C2×C4semidirect
72. #14581771C2×C4semidirect
73. #14581766C2×C4semidirect
74. #14581761C2×C4semidirect
79. C4×C22⋊D83C2×C4semidirect
82. #14581751C2×C4semidirect
116. C23×C4×C83C2×C4semidirect
128. C2×C4⋊C4×C83D4semidirect
138. C2×Dic166C22×C4semidirect
141. C2×D332C22×C4semidirect
157. C2×C4×D83C22×C4semidirect
161. C4⋊Dic83C22×C4semidirect
164. Dic83⋊C4C22×C4semidirect
173. (C2×D83)⋊C4C22×C4semidirect
178. C4×Dic83C22×C4semidirect
251. C2×C4×C83C4×D4semidirect
291. C22×C83#520semidirect
323. C23×C4⋊C4D83semidirect
334. C83#34200semidirect
397. C23×C4C4×D83semidirect
430. C2×C4⋊C4C22⋊D83semidirect
591. C2×C4C4×C22⋊D83semidirect
617. C22#19128182semidirect

Maximal subgroups

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

subgroupindex
C2×#191282122
C2×#191281822
#249104792
#249104682
#249103882
C4⋊C4×C22⋊D832
#249101322
#249100872
#249100562
C4×#145817612
#249098462
#249098202
C23×C4⋊C4×C832
#3420083