Finite Group Databasebeta

← #35564688

Subgroups — #35564688

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×#19128213C211yesmaximal, characteristic
2C2×#19128182C211yesmaximal, characteristic, complemented
3C22×C4⋊C4×D83C211yesmaximal, characteristic, complemented
4#24910481C214yesmaximal, complemented
5#24910470C214yesmaximal, complemented
6#24910395C214yesmaximal, complemented
7C4⋊C4×D332C214yesmaximal, complemented
8#24910134C214yesmaximal, complemented
9#24910086C211yesmaximal, characteristic, complemented
10#24910051C211yesmaximal, characteristic, complemented
11C4×#14581762C214yesmaximal, complemented
12#24909842C211yesmaximal, characteristic, complemented
13C83×#2274C211yesmaximal, characteristic, complemented
14C22×#13050590C2211yescharacteristic
15C23×C4×D83C2211yescharacteristic
16C23×C4×D83C2212yes—
17#19128213C4116yescomplemented
18C2×#14581776C2212yes—
19C2×#14581772C2212yes—
20C2×#14581767C2212yes—
21C2×#14581762C2212yes—
22#19128182—28no—
23C2×#14581757C2212yescomplemented
24C2×C4×D332C2218yes—
25C2×C4×D332C2214yes—
26C2×#14581754C2212yescomplemented
27C2×C4×C22⋊D83C2214yes—
28C2×#14581751C2211yescharacteristic
29C2×#14581750C2212yescomplemented
30C22×C4⋊Dic83C2211yescharacteristic
31C22×Dic83⋊C4C2212yes—
32C2×C4⋊C4×D83—28no—
33C2×C4⋊C4×D83C2214yes—
34C2×C4⋊C4×D83C2214yes—
35C2×C4⋊C4×D83C2212yescomplemented
36#19127607C2212yescomplemented
37#19127603C2212yescomplemented
38#19127600C2214yescomplemented
39#19127599C2218yescomplemented
40#19127592C2218yescomplemented
41#19127586C2218yescomplemented
42#19127579C2218yes—
43#19127578C2214yes—
44#19127576C2214yes—
45#19127575C2218yes—
46#19127575C2218yescomplemented
47#19127571C2212yescomplemented
48#19127567C2212yescomplemented
49#19127562C2212yes—
50#19127558C2212yes—
51#19127558C2212yes—
52#19127558C2214yescomplemented
53#19127556C2212yes—
54C4×(C2×D83)⋊C4C2214yes—
55C4×(C2×D83)⋊C4C2218yes—
56C2×#117×C83C2211yescharacteristic
57C2×#117×C83C2211yescharacteristic
58C22×C4⋊C4×C83C2211yescharacteristic
59C4×C4⋊C4×C83C2214yescomplemented
60C4×C4⋊C4×C83C2214yescomplemented
61C4×C22⋊C4×C83C2214yes—
62C24×D83C2311yescharacteristic
63C2×#13050590—24no—
64C2×#13050590—24no—
65C2×#13050590C2×C418yescomplemented
66C22×Dic166C2311yescharacteristic
67C22×D332C2314yes—
68C22×D332C2311yescharacteristic
69C22×C22⋊D83C2312yes—
70C23×Dic83C2311yescharacteristic
71C23×Dic83C2312yes—
72C22×C4×D83—24no—
73C22×C4×D83—28no—
74C22×C4×D83—24no—
75C22×C4×D83—48no—
76C22×C4×D83C2×C418yescomplemented
77C22×C4×D83C2318yes—
78C22×C4×D83C2312yes—
79C22×C4×D83C2312yes—
80C22×C4×D83C2312yes—
81C22×C4×D83C2314yes—
82#14581776C2×C4116yescomplemented
83#14581772C2×C4116yescomplemented
84#14581767C2×C4116yescomplemented
85#14581762C2×C4116yescomplemented
86#14581757—28no—
87C4×D332—416no—
88C4×D332C2×C4132yescomplemented
89#14581754—28no—
90C4×C22⋊D83—216no—
91#14581751—24no—
92#14581750—28no—
93C2×C4⋊Dic83—24no—
94C2×C4⋊Dic83C2311yescharacteristic
95C2×C4⋊Dic83C2311yescharacteristic
96C2×C4⋊Dic83C2312yes—
97C2×C4⋊Dic83C2312yes—
98C2×C4⋊Dic83C2318yes—
99C2×C4⋊Dic83C2314yes—
100C2×Dic83⋊C4—28no—
101C2×Dic83⋊C4C2314yes—
102C2×Dic83⋊C4C2318yes—
103C4⋊C4×D83—216no—
104C4⋊C4×D83—216no—
105C4⋊C4×D83—28no—
106C2×C22⋊Dic83C2312yes—
107C2×(C2×D83)⋊C4C2314yes—
108C2×(C2×D83)⋊C4C2314yes—
109C2×(C2×D83)⋊C4C2314yes—
110C2×(C2×D83)⋊C4C2318yes—
111C2×(C2×D83)⋊C4C2314yes—
112C2×(C2×D83)⋊C4C2314yes—
113C2×C4×Dic83C2314yes—
114C2×C4×Dic83C2312yes—
115C83⋊#95C2314yes—
116C83⋊#95C2314yes—
117C83⋊#95C2318yes—
118C83⋊#95C2318yes—
119C23×C4×C83C2312yes—
120C23×C4×C83C2311yescharacteristic
121#117×C83—24no—
122#117×C83C2×C418yescomplemented
123C2×C4⋊C4×C83D418yescomplemented
124C2×C4⋊C4×C83C2312yes—
125C2×C4⋊C4×C83C2312yes—
126C2×C4⋊C4×C83C2312yes—
127C2×C4⋊C4×C83C2312yes—
128C2×C22⋊C4×C83C2312yes—
129C2×C22⋊C4×C83C2312yes—
130C2×C42×C83C2312yes—
131C2×C42×C83C2318yes—
132C2×C42×C83C2312yes—
133#95×C83C2318yes—
134C23×D83—22no—
135C23×D83—22no—
136C23×D83—24no—
137C23×D83—24no—
138C23×D83C22×C414yes—
139C23×D83C2412yes—
140C23×D83C2412yes—
141#13050590—232no—
142C2×Dic166—22no—
143C2×Dic166—22no—
144C2×Dic166C22×C414yescomplemented
145C2×D332—28no—
146C2×D332—28no—
147C2×D332—22no—
148C2×D332—22no—
149C2×D332C22×C4116yes—
150C2×D332C22×C414yescomplemented
151C2×C22⋊D83—24no—
152C2×C22⋊D83—24no—
153C2×C22⋊D83C22×C418yes—
154C22×Dic83—22no—
155C22×Dic83—22no—
156C22×Dic83—24no—
157C22×Dic83—44no—
158C22×Dic83C22×C414yes—
159C22×Dic83C2414yes—
160C22×Dic83C2412yes—
161C22×Dic83C2412yes—
162C22×Dic83C2412yes—
163C22×Dic83C2412yes—
164C2×C4×D83—232no—
165C2×C4×D83—24no—
166C2×C4×D83—24no—
167C2×C4×D83—24no—
168C2×C4×D83—24no—
169C2×C4×D83—24no—
170C2×C4×D83—24no—
171C2×C4×D83—216no—
172C2×C4×D83—216no—
173C2×C4×D83—28no—
174C2×C4×D83—48no—
175C2×C4×D83—432no—
176C2×C4×D83—48no—
177C2×C4×D83C22×C418yes—
178C2×C4×D83C22×C418yes—
179C2×C4×D83C22×C418yescomplemented
180C4⋊Dic83—24no—
181C4⋊Dic83—24no—
182C4⋊Dic83—22no—
183C4⋊Dic83—22no—
184C4⋊Dic83—48no—
185C4⋊Dic83C22×C4116yescomplemented
186Dic83⋊C4—216no—
187Dic83⋊C4—28no—
188C22⋊Dic83—24no—
189(C2×D83)⋊C4—28no—
190(C2×D83)⋊C4—28no—
191(C2×D83)⋊C4—28no—
192(C2×D83)⋊C4—48no—
193(C2×D83)⋊C4C22×C4116yes—
194(C2×D83)⋊C4C22×C4116yescomplemented
195C4×Dic83—28no—
196C4×Dic83—24no—
197C24×C83C2411yescharacteristic
198C22×C4×C83—44no—
199C22×C4×C83C22×C414yes—
200C22×C4×C83C2×D418yes—
201C22×C4×C83C2×D414yes—
202C22×C4×C83#4114yes—
203C22×C4×C83C2414yes—
204C22×C4×C83C2414yes—
205C22×C4×C83C2414yes—
206C22×C4×C83C2411yescharacteristic
207C22×C4×C83C2411yescharacteristic
208C4⋊C4×C83—24no—
209C4⋊C4×C83C22×C418yescomplemented
210C4⋊C4×C83C2×D418yes—
211C4⋊C4×C83C2×D418yes—
212C22⋊C4×C83—24no—
213C22⋊C4×C83C22×C418yes—
214C42×C83—24no—
215C42×C83—48no—
216C42×C83C22×C418yescomplemented
217C23×C83—22no—
218C23×C83—22no—
219C23×C83C23×C412yes—
220C23×C83C22×D412yes—
221C23×C83C2×#4112yes—
222C23×C83C2511yescharacteristic
223C22×D83—28no—
224C22×D83—28no—
225C22×D83—216no—
226C22×D83—28no—
227C22×D83—22no—
228C22×D83—22no—
229C22×D83—22no—
230C22×D83—22no—
231C22×D83—216no—
232C22×D83—22no—
233C22×D83—22no—
234C22×D83—24no—
235C22×D83—24no—
236C22×D83C23×C414yes—
237C22×D83C23×C414yes—
238C22×D83H(5,𝔽2)14yes—
239C22×D832−1+414yes—
240C2×C4×C83—24no—
241C2×C4×C83—28no—
242C2×C4×C83—24no—
243C2×C4×C83—24no—
244C2×C4×C83—24no—
245C2×C4×C83—24no—
246C2×C4×C83—48no—
247C2×C4×C83C4×D4116yescomplemented
248C2×C4×C83C23×C418yes—
249C2×C4×C83C23×C412yes—
250C2×C4×C83C23×C412yes—
251C2×C4×C83C22×D418yes—
252C2×C4×C83C22×D412yes—
253C2×C4×C83C22×D412yes—
254C2×C4×C83C2×#4112yes—
255C2×C4×C83C2×#4112yes—
256C22⋊D83—216no—
257C2×Dic83—28no—
258C2×Dic83—22no—
259C2×Dic83—22no—
260C2×Dic83—22no—
261C2×Dic83—22no—
262C2×Dic83—22no—
263C2×Dic83—22no—
264C2×Dic83—24no—
265C2×Dic83—24no—
266C2×Dic83—28no—
267C2×Dic83—24no—
268C2×Dic83—48no—
269C2×Dic83C23×C414yes—
270C2×Dic83C23×C414yes—
271D332—232no—
272D332—28no—
273C4×D83—216no—
274C4×D83—216no—
275C4×D83—216no—
276C4×D83—432no—
277C4×D83—88no—
278Dic166—28no—
279C22×C83—24no—
280C22×C83—22no—
281C22×C83—22no—
282C22×C83—24no—
283C22×C83C2×C4×D414yes—
284C22×C83C24×C411yescharacteristic
285C22×C83C23×D411yescharacteristic
286C22×C83C22×#4111yescharacteristic
287C22×C83C2×H(5,𝔽2)12yes—
288C22×C83C2×2−1+412yes—
289C2×D83—232no—
290C2×D83—24no—
291C2×D83—24no—
292C2×D83—24no—
293C2×D83—24no—
294C2×D83—24no—
295C2×D83—24no—
296C2×D83—24no—
297C2×D83—28no—
298C2×D83—42no—
299C2×D83—42no—
300C2×D83—44no—
301C2×D83#52018yescomplemented
302C4×C83—28no—
303C4×C83—28no—
304C4×C83—44no—
305C4×C83C2×C4×D414yes—
306C4×C83C2×C4×D414yes—
307Dic83—24no—
308Dic83—24no—
309Dic83—44no—
310Dic83—42no—
311Dic83—42no—
312#34200—831nomaximal, Sylow
313C2×C83—24no—
314C2×C83C22×C4×D411yescharacteristic
315C2×C83C2×#52012yes—
316C2×C83#348411yescharacteristic
317C2×C83#348611yescharacteristic
318C2×C83#349212yes—
319D83—28no—
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#2280—831no—
333#2274D8311yescharacteristic, complemented
334C83#3420011yescharacteristic, complemented, Sylow
335C22×#41—831no—
336C24×C4—832no—
337C24×C4—831no—
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—832no—
347C2×C4×D4—838no—
348C2×C4×D4—834no—
349C2×#117—831no—
350C2×#117—832no—
351C2×#117C2×D8311yescharacteristic
352C2×#117C2×D8311yescharacteristic
353C22×C4⋊C4—831no—
354C22×C4⋊C4—832no—
355C22×C4⋊C4—832no—
356C22×C4⋊C4—834no—
357C22×C4⋊C4—834no—
358C22×C4⋊C4—1668no—
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⋊C4C2×D8314yescomplemented
379C4×C4⋊C4C2×D8314yescomplemented
380C4×C22⋊C4—838no—
381C4×C22⋊C4—834no—
382C4×C22⋊C4C2×D8314yes—
383C25—831no—
384C2×#41—838no—
385C2×#41—1664no—
386C2×#41—1664no—
387C22×Q8—831no—
388C22×D4—832no—
389C22×D4—834no—
390C22×D4—831no—
391C23×C4—3328no—
392C23×C4—832no—
393C23×C4—834no—
394C23×C4—838no—
395C23×C4—831no—
396C23×C4—838no—
397C23×C4—832no—
398C23×C4—832no—
399C23×C4—832no—
400C23×C4—1668no—
401C23×C4—1664no—
402C23×C4—1664no—
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—24no—
415#117—1664no—
416#117—1668no—
417#117C4×D8318yescomplemented
418C2×C4⋊C4—838no—
419C2×C4⋊C4—834no—
420C2×C4⋊C4—832no—
421C2×C4⋊C4—838no—
422C2×C4⋊C4—832no—
423C2×C4⋊C4—831no—
424C2×C4⋊C4—834no—
425C2×C4⋊C4—831no—
426C2×C4⋊C4—1668no—
427C2×C4⋊C4—1664no—
428C2×C4⋊C4—16616no—
429C2×C4⋊C4—16616no—
430C2×C4⋊C4—1668no—
431C2×C4⋊C4D33218yescomplemented
432C2×C4⋊C4C22×D8312yes—
433C2×C4⋊C4C22×D8312yes—
434C2×C4⋊C4C22×D8312yes—
435C2×C4⋊C4C22×D8312yes—
436C2×C22⋊C4—838no—
437C2×C22⋊C4—834no—
438C2×C22⋊C4—834no—
439C2×C22⋊C4—832no—
440C2×C22⋊C4—834no—
441C2×C22⋊C4—834no—
442C2×C22⋊C4—834no—
443C2×C22⋊C4C22×D8312yes—
444C2×C22⋊C4C22×D8312yes—
445C2×C42—834no—
446C2×C42—832no—
447C2×C42C22×D8312yes—
448C2×C42C22×D8318yes—
449C2×C42C22×D8312yes—
450#95—834no—
451#95—834no—
452#95—838no—
453#95—838no—
454#95C22×D8318yes—
455C24—832no—
456C24—834no—
457C24—832no—
458C24—1664no—
459C24—1664no—
460C24—1662no—
461C24—1662no—
462C24C23×D8311yescharacteristic
463#41—16632no—
464C2×Q8—834no—
465C2×Q8—1662no—
466C2×Q8—1662no—
467C2×D4—838no—
468C2×D4—8316no—
469C2×D4—834no—
470C2×D4—1668no—
471C2×D4—1668no—
472C2×D4—1664no—
473C2×D4—1664no—
474C2×D4—1662no—
475C2×D4—1662no—
476C22×C4—44no—
477C22×C4—3328no—
478C22×C4—3328no—
479C22×C4—33232no—
480C22×C4—3324no—
481C22×C4—834no—
482C22×C4—832no—
483C22×C4—832no—
484C22×C4—838no—
485C22×C4—838no—
486C22×C4—838no—
487C22×C4—832no—
488C22×C4—834no—
489C22×C4—832no—
490C22×C4—16616no—
491C22×C4—1664no—
492C22×C4—16616no—
493C22×C4—1668no—
494C22×C4—1662no—
495C22×C4—1662no—
496C22×C4—1664no—
497C22×C4—1664no—
498C22×C4—1664no—
499C22×C4—1664no—
500C22×C4—1664no—
501C22×C4—1664no—
502C22×C4—16632no—
503C22×C4C2×C4×D8314yes—
504C22×C4C2×D33218yes—
505C22×C4C2×D33214yes—
506C22×C4#1305059014yes—
507C22×C4C23×D8314yes—
508C22×C4C23×D8314yes—
509C22×C4C23×D8314yes—
510C22×C4C23×D8311yescharacteristic
511C22×C4C23×D8311yescharacteristic
512C4⋊C4—24no—
513C4⋊C4—3328no—
514C4⋊C4—8316no—
515C4⋊C4—16616no—
516C4⋊C4—1664no—
517C4⋊C4—1664no—
518C4⋊C4—1662no—
519C4⋊C4—1668no—
520C4⋊C4—1662no—
521C4⋊C4C2×C4×D8318yescomplemented
522C4⋊C4C2×D33218yes—
523C4⋊C4C2×D33218yes—
524C22⋊C4—24no—
525C22⋊C4—3328no—
526C22⋊C4—8316no—
527C22⋊C4—8316no—
528C22⋊C4—1668no—
529C22⋊C4—1668no—
530C22⋊C4—1664no—
531C22⋊C4—1668no—
532C22⋊C4C2×C4×D8318yes—
533C42—24no—
534C42—48no—
535C42—1664no—
536C42—1668no—
537C42C2×C4×D8318yescomplemented
538C23—22no—
539C23—22no—
540C23—834no—
541C23—834no—
542C23—834no—
543C23—834no—
544C23—16616no—
545C23—1668no—
546C23—1668no—
547C23—16616no—
548C23—1662no—
549C23—1662no—
550C23—1664no—
551C23—1664no—
552C23—1668no—
553C23—1662no—
554C23—1662no—
555C23—1662no—
556C23—1662no—
557C23C22×C4×D8312yes—
558C23C22×D33212yes—
559C23C2×#1305059012yes—
560C23C24×D8311yescharacteristic
561Q8—1668no—
562D4—16632no—
563D4—16616no—
564D4—1668no—
565C2×C4—24no—
566C2×C4—28no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—48no—
572C2×C4—33232no—
573C2×C4—3328no—
574C2×C4—834no—
575C2×C4—834no—
576C2×C4—6648no—
577C2×C4—1662no—
578C2×C4—1662no—
579C2×C4—1664no—
580C2×C4—1668no—
581C2×C4—1664no—
582C2×C4—1664no—
583C2×C4—1668no—
584C2×C4—1662no—
585C2×C4—1662no—
586C2×C4—1662no—
587C2×C4—1662no—
588C2×C4—16616no—
589C2×C4—16616no—
590C2×C4—16616no—
591C2×C4C4×D332116yescomplemented
592C2×C4C22×C4×D8318yes—
593C2×C4C22×C4×D8312yes—
594C2×C4C22×C4×D8312yes—
595C2×C4C22×D33218yes—
596C2×C4C22×D33212yes—
597C2×C4C22×D33212yes—
598C2×C4C2×#1305059012yes—
599C2×C4C2×#1305059012yes—
600C22—22no—
601C22—22no—
602C22—24no—
603C22—24no—
604C22—3322no—
605C22—3322no—
606C22—3324no—
607C22—838no—
608C22—16632no—
609C22—1664no—
610C22—1668no—
611C22—1664no—
612C22—1664no—
613C22—1664no—
614C22—1664no—
615C22—1664no—
616C22—1664no—
617C22C2×C4×D33214yes—
618C22C23×C4×D8311yescharacteristic
619C22C23×D33211yescharacteristic
620C22C22×#1305059011yescharacteristic
621C22H(5,𝔽2)×D8312yes—
622C222−1+4×D8312yes—
623C4—28no—
624C4—28no—
625C4—44no—
626C4—3324no—
627C4—3322no—
628C4—3322no—
629C4—1664no—
630C4—1664no—
631C4C2×C4×D33214yes—
632C4C2×C4×D33214yes—
633C2—24no—
634C2—3324no—
635C2—1668no—
636C2C22×C4×D33211yescharacteristic
637C2#520×D8312yes—
638C2#2492109911yescharacteristic
639C2#2492111511yescharacteristic
640C2#2492116612yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2274C2
socle, cosocleC23×C83C25
prime radicalC2×#19128213C2
hypercenter#2274D83
hypocenterC83#34200
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. C2×#19128182C2semidirect
3. C22×C4⋊C4×D83C2semidirect
4. #24910481C2semidirect
5. #24910470C2semidirect
6. #24910395C2semidirect
7. C4⋊C4×D332C2semidirect
8. #24910134C2semidirect
9. #24910086C2semidirect
10. #24910051C2semidirect
11. C4×#14581762C2semidirect
12. #24909842C2semidirect
13. C83×#2274C2semidirect
17. #19128213C4semidirect
23. C2×#14581757C22semidirect
26. C2×#14581754C22semidirect
29. C2×#14581750C22semidirect
35. C2×C4⋊C4×D83C22semidirect
36. #19127607C22semidirect
37. #19127603C22semidirect
38. #19127600C22semidirect
39. #19127599C22semidirect
40. #19127592C22semidirect
41. #19127586C22semidirect
46. #19127575C22semidirect
47. #19127571C22semidirect
48. #19127567C22semidirect
52. #19127558C22semidirect
59. C4×C4⋊C4×C83C22semidirect
60. C4×C4⋊C4×C83C22semidirect
65. C2×#13050590C2×C4semidirect
76. C22×C4×D83C2×C4semidirect
82. #14581776C2×C4semidirect
83. #14581772C2×C4semidirect
84. #14581767C2×C4semidirect
85. #14581762C2×C4semidirect
88. C4×D332C2×C4semidirect
122. #117×C83C2×C4semidirect
123. C2×C4⋊C4×C83D4semidirect
144. C2×Dic166C22×C4semidirect
150. C2×D332C22×C4semidirect
179. C2×C4×D83C22×C4semidirect
185. C4⋊Dic83C22×C4semidirect
194. (C2×D83)⋊C4C22×C4semidirect
209. C4⋊C4×C83C22×C4semidirect
216. C42×C83C22×C4semidirect
247. C2×C4×C83C4×D4semidirect
301. C2×D83#520semidirect
333. #2274D83semidirect
334. C83#34200semidirect
378. C4×C4⋊C4C2×D83semidirect
379. C4×C4⋊C4C2×D83semidirect
417. #117C4×D83semidirect
431. C2×C4⋊C4D332semidirect
521. C4⋊C4C2×C4×D83semidirect
537. C42C2×C4×D83semidirect
591. C2×C4C4×D332semidirect

Maximal subgroups

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

subgroupindex
C2×#191282132
C2×#191281822
C22×C4⋊C4×D832
#249104812
#249104702
#249103952
C4⋊C4×D3322
#249101342
#249100862
#249100512
C4×#145817622
#249098422
C83×#22742
#3420083