Finite Group Databasebeta

← #35421634

Subgroups — #35421634

Order 21248.

1010 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127700C211yesmaximal, characteristic
2#24910294C211yesmaximal, characteristic
3#24908152C211yesmaximal, characteristic, complemented
4#24908138C211yesmaximal, characteristic, complemented
5#24908104C211yesmaximal, characteristic, complemented
6#24908097C211yesmaximal, characteristic, complemented
7#24907723C211yesmaximal, characteristic, complemented
8#24907709C211yesmaximal, characteristic, complemented
9#24907549C211yesmaximal, characteristic, complemented
10#24907494C211yesmaximal, characteristic, complemented
11#24907401C211yesmaximal, characteristic
12#24907291C211yesmaximal, characteristic, complemented
13C4×#14581712C211yesmaximal, characteristic, complemented
14#24907247C211yesmaximal, characteristic, complemented
15C83×#2345C211yesmaximal, characteristic, complemented
16C22×#13050590C2211yescharacteristic
17C22×#13050574C2211yescharacteristic
18C2×C4×D332C2211yescharacteristic
19C2×C4×D332C2211yescharacteristic
20C2×#14581725C2211yescharacteristic
21C2×#14581723C2211yescharacteristic
22#19127700C418yescomplemented
23C2×#14581715C2211yescharacteristic
24C2×#14581715C2211yescharacteristic
25C2×#14581715C2211yescharacteristic
26C2×#14581715C2211yescharacteristic
27C2×#14581712C2211yescharacteristic
28C2×#14581712C2211yescharacteristic
29C2×#14581712C2211yescharacteristic
30C2×#14581712C2211yescharacteristic
31C2×C22⋊(C83⋊C8)C2211yescharacteristic
32C2×#14581703C2211yescharacteristic
33C2×C4×C83⋊C8C2211yescharacteristic
34#19127607C2211yescharacteristic
35#19127607C2211yescharacteristic
36#19127577—21no—
37#19127577—21no—
38#19127563—21no—
39#19127561C2211yescharacteristic
40#95×D83—21no—
41#19127463C2211yescharacteristic
42#19127463C2211yescharacteristic
43#19127463C2211yescharacteristic
44#19127463C2211yescharacteristic
45#19127463C2211yescharacteristic
46#19127463C2211yescharacteristic
47#19127456C2211yescharacteristic
48#19127456C2211yescharacteristic
49C22×C4⋊C4×C83C2211yescharacteristic
50#389×C83C2211yescharacteristic
51#389×C83C2211yescharacteristic
52#387×C83—21no—
53#387×C83—21no—
54#380×C83—21no—
55#380×C83C2211yescharacteristic
56C4×C4⋊C4×C83C2211yescharacteristic
57C4×C4⋊C4×C83C2211yescharacteristic
58C4×C22⋊C4×C83—21no—
59C4×C22⋊C4×C83C2211yescharacteristic
60C2×#13050590—22no—
61C2×#13050590—22no—
62C2×#13050590—22no—
63C2×#13050590—41no—
64C2×#13050590—41no—
65C2×#13050590C2×C414yes—
66C22×Dic166C2311yescharacteristic
67C22×D332C2311yescharacteristic
68C22×C22⋊D83—21no—
69C22×C4×D83—21no—
70C22×C4×D83—21no—
71C22×C4×D83—21no—
72C2×#13050574—41no—
73C2×#13050574—41no—
74C2×#13050574C2×C414yescomplemented
75C22×C83⋊C8C2311yescharacteristic
76C22×C83⋊C8C2311yescharacteristic
77C22×C83⋊C8C2311yescharacteristic
78C22×C83⋊C8C2311yescharacteristic
79C4×D332—22no—
80C4×D332—22no—
81C4×D332—41no—
82C4×D332—41no—
83C2×C4⋊Dic83C2311yescharacteristic
84C2×C4⋊Dic83C2311yescharacteristic
85C2×C22⋊Dic83—21no—
86C2×(C2×D83)⋊C4—21no—
87C2×(C2×D83)⋊C4—21no—
88#14581725—41no—
89#14581723—41no—
90#14581715—41no—
91#14581715—41no—
92#14581715C2×C414yescomplemented
93#14581715C2×C414yescomplemented
94#14581712—22no—
95#14581712—22no—
96#14581712C2×C414yes—
97#14581712C2×C414yes—
98C22⋊(C83⋊C8)—22no—
99#14581703—41no—
100C4×C83⋊C8—41no—
101C83⋊#95—21no—
102C83⋊#95—21no—
103C83⋊#95—21no—
104C83⋊#95—21no—
105C83⋊#95—21no—
106C23×C4×C83—21no—
107C23×C4×C83C2311yescharacteristic
108C2×C4⋊C4×C83—21no—
109C2×C4⋊C4×C83—22no—
110C2×C4⋊C4×C83—21no—
111C2×C4⋊C4×C83—21no—
112C2×C4⋊C4×C83C2×C414yescomplemented
113C2×C4⋊C4×C83C2311yescharacteristic
114C2×C4⋊C4×C83C2311yescharacteristic
115C2×C4⋊C4×C83C2311yescharacteristic
116C2×C4⋊C4×C83C2311yescharacteristic
117C2×C22⋊C4×C83—21no—
118C2×C22⋊C4×C83D411yescharacteristic
119C2×C22⋊C4×C83D411yescharacteristic
120C2×C42×C83—21no—
121C2×C42×C83—21no—
122C2×C42×C83C2311yescharacteristic
123C2×C42×C83C2311yescharacteristic
124#95×C83—21no—
125#95×C83—21no—
126#95×C83—21no—
127#95×C83—21no—
128#95×C83—21no—
129#95×C83D411yescharacteristic
130#95×C83D411yescharacteristic
131C23×D83—21no—
132#13050590—28no—
133#13050590—44no—
134#13050590—44no—
135#13050590—44no—
136C2×Dic166—21no—
137C2×Dic166—21no—
138C2×Dic166—21no—
139C2×Dic166—21no—
140C2×Dic166—21no—
141C2×Dic166C22×C412yes—
142C2×D332—21no—
143C2×D332—21no—
144C2×D332—21no—
145C2×D332C22×C412yes—
146C2×D332#4112yes—
147C2×D332#4112yes—
148C2×C22⋊D83—24no—
149C2×C22⋊D83—42no—
150C2×C22⋊D83—42no—
151C22×Dic83—21no—
152C22×Dic83—21no—
153C22×Dic83—21no—
154C2×C4×D83—24no—
155C2×C4×D83—42no—
156C2×C4×D83—42no—
157C2×C4×D83—42no—
158C2×C4×D83—42no—
159C2×C4×D83—42no—
160C2×C4×D83—42no—
161C2×C4×D83—81no—
162C2×C4×D83—81no—
163#13050574—44no—
164C2×C83⋊C8—21no—
165C2×C83⋊C8—21no—
166C2×C83⋊C8—21no—
167C2×C83⋊C8—21no—
168C2×C83⋊C8—21no—
169C2×C83⋊C8—21no—
170C2×C83⋊C8—21no—
171C2×C83⋊C8—21no—
172C2×C83⋊C8—21no—
173C2×C83⋊C8—21no—
174C2×C83⋊C8C22×C412yes—
175C2×C83⋊C8C22×C412yes—
176C4⋊Dic83—21no—
177C4⋊Dic83—21no—
178C4⋊Dic83—21no—
179C4⋊Dic83—21no—
180C22⋊Dic83—81no—
181(C2×D83)⋊C4—42no—
182(C2×D83)⋊C4—42no—
183C24×C83C2×D411yescharacteristic
184C22×C4×C83—21no—
185C22×C4×C83—21no—
186C22×C4×C83—21no—
187C22×C4×C83—21no—
188C22×C4×C83—21no—
189C22×C4×C83—21no—
190C22×C4×C83—24no—
191C22×C4×C83—21no—
192C22×C4×C83—21no—
193C22×C4×C83—81no—
194C22×C4×C83—81no—
195C22×C4×C83C22×C412yes—
196C22×C4×C83C2×D411yescharacteristic
197C22×C4×C83C2×D411yescharacteristic
198C22×C4×C83C2×D411yescharacteristic
199C22×C4×C83C2×D411yescharacteristic
200C22×C4×C83C2×D411yescharacteristic
201C22×C4×C83#4112yes—
202C22×C4×C83C2411yescharacteristic
203C4⋊C4×C83—24no—
204C4⋊C4×C83—21no—
205C4⋊C4×C83—21no—
206C4⋊C4×C83—21no—
207C4⋊C4×C83—21no—
208C4⋊C4×C83—21no—
209C4⋊C4×C83—21no—
210C4⋊C4×C83—81no—
211C4⋊C4×C83—81no—
212C4⋊C4×C83C22×C412yes—
213C4⋊C4×C83C22×C412yes—
214C22⋊C4×C83—22no—
215C22⋊C4×C83—41no—
216C22⋊C4×C83—42no—
217C42×C83—21no—
218C42×C83—21no—
219C42×C83—21no—
220C42×C83—21no—
221C42×C83—81no—
222C42×C83—81no—
223C23×C83—21no—
224C23×C83—21no—
225C23×C83—21no—
226C23×C83—21no—
227C23×C83—21no—
228C23×C83—21no—
229C23×C83C4×D412yes—
230C23×C83C22×D411yescharacteristic
231C22×D83—22no—
232C22×D83—22no—
233C22×D83—22no—
234C22×D83—41no—
235C22×D83—41no—
236C22×D83—41no—
237C22×D83—41no—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—22no—
243C2×C4×C83—22no—
244C2×C4×C83—22no—
245C2×C4×C83—22no—
246C2×C4×C83—22no—
247C2×C4×C83—22no—
248C2×C4×C83—21no—
249C2×C4×C83—21no—
250C2×C4×C83—21no—
251C2×C4×C83—21no—
252C2×C4×C83—21no—
253C2×C4×C83—21no—
254C2×C4×C83—21no—
255C2×C4×C83—21no—
256C2×C4×C83—21no—
257C2×C4×C83—41no—
258C2×C4×C83—41no—
259C2×C4×C83—41no—
260C2×C4×C83—41no—
261C2×C4×C83—41no—
262C2×C4×C83—41no—
263C2×C4×C83—41no—
264C2×C4×C83—41no—
265C2×C4×C83—41no—
266C2×C4×C83—41no—
267C2×C4×C83—84no—
268C2×C4×C83C4×D412yes—
269C2×C4×C83#13712yes—
270C2×C4×C83C23×C411yescharacteristic
271C2×C4×C83C2×#4111yescharacteristic
272C2×C4×C83C2×#4111yescharacteristic
273C2×C4×C83C2×#4111yescharacteristic
274C2×C4×C83H(5,𝔽2)11yescharacteristic
275C2×C4×C83H(5,𝔽2)11yescharacteristic
276C22⋊D83—48no—
277C2×Dic83—22no—
278C2×Dic83—41no—
279C2×Dic83—41no—
280C2×Dic83—41no—
281C2×Dic83—41no—
282C2×Dic83—41no—
283C2×Dic83—41no—
284C2×Dic83—41no—
285C2×Dic83—41no—
286D332—22no—
287D332—22no—
288D332—22no—
289D332#11714yes—
290C4×D83—48no—
291C4×D83—84no—
292C4×D83—84no—
293Dic166—22no—
294Dic166—22no—
295Dic166—41no—
296Dic166—41no—
297C83⋊C8—22no—
298C83⋊C8—22no—
299C83⋊C8—41no—
300C83⋊C8—41no—
301C22×C83—22no—
302C22×C83—22no—
303C22×C83—22no—
304C22×C83—41no—
305C22×C83—41no—
306C22×C83—41no—
307C22×C83—41no—
308C22×C83C2×C4×D411yescharacteristic
309C22×C83#54611yescharacteristic
310C22×C83#54611yescharacteristic
311C22×C83C2×#13711yescharacteristic
312C22×C83#57511yescharacteristic
313C22×C83#57611yescharacteristic
314C22×C83#57711yescharacteristic
315C2×D83—24no—
316C2×D83—42no—
317C2×D83—42no—
318C2×D83—42no—
319C2×D83—42no—
320C2×D83—42no—
321C2×D83—42no—
322C4×C83—22no—
323C4×C83—22no—
324C4×C83—41no—
325C4×C83—42no—
326C4×C83—42no—
327C4×C83—41no—
328C4×C83—41no—
329C4×C83—81no—
330C4×C83—81no—
331C4×C83C2×#11711yescharacteristic
332C4×C83#51811yescharacteristic
333C4×C83#55111yescharacteristic
334C4×C83#55111yescharacteristic
335Dic83—42no—
336Dic83—81no—
337Dic83—81no—
338#22578—831nomaximal, Sylow
339C2×C83—42no—
340C2×C83#234211yescharacteristic
341C2×C83C4×#13711yescharacteristic
342C2×C83#294611yescharacteristic
343C2×C83#330711yescharacteristic
344C2×C83#331411yescharacteristic
345C2×C83#332211yescharacteristic
346C2×C83#333111yescharacteristic
347D83—44no—
348C2×#417—831no—
349#2345D8311yescharacteristic, complemented
350#2339—831no—
351#1935—831no—
352#1933—831no—
353#1928—831no—
354#1927—831no—
355#1864—831no—
356#1862—831no—
357#1823—831no—
358#1809—831no—
359#1788—831no—
360#1762—831no—
361C4×#102—831no—
362#1753—831no—
363C83#2257811yescharacteristic, complemented, Sylow
364C22×#41—831no—
365C22×M16—831no—
366C2×C4×D4—831no—
367C2×C4×D4—831no—
368C22×C4⋊C4C2×D8311yescharacteristic
369C2×#107—831no—
370C2×#106—831no—
371#417—838no—
372C2×#103—831no—
373C2×#103—831no—
374C2×#103—831no—
375C2×#103—831no—
376C2×#102—831no—
377C2×#102—831no—
378C2×#102—831no—
379C2×#102—831no—
380C2×C22⋊C8—831no—
381C2×#97—831no—
382C2×C4×C8—831no—
383#391—831no—
384#391—831no—
385#389C2×D8311yescharacteristic
386#389C2×D8311yescharacteristic
387#387—21no—
388#387—21no—
389#386—1661no—
390#386—1661no—
391#381—1661no—
392#380—21no—
393#380—831no—
394#380C2×D8311yescharacteristic
395C4×C4⋊C4C2×D8311yescharacteristic
396C4×C4⋊C4C2×D8311yescharacteristic
397C4×C22⋊C4—21no—
398C4×C22⋊C4C2×D8311yescharacteristic
399C2×#95—1661no—
400#340—831no—
401#340—831no—
402#340—831no—
403#340—831no—
404#340—831no—
405#340—831no—
406#336—831no—
407#336—831no—
408C2×#41—3321no—
409C2×#41—3321no—
410C2×#41—834no—
411C2×#41—1662no—
412C2×#41—1662no—
413C2×#41—1662no—
414C22×Q8—831no—
415C22×D4—831no—
416C22×D4—1661no—
417C23×C4—21no—
418C23×C4—1661no—
419C23×C4—1661no—
420C23×C4—1661no—
421C23×C4C22×D8311yescharacteristic
422C2×M16—3321no—
423C2×M16—3321no—
424C2×M16—834no—
425C22×C8—831no—
426C22×C8—831no—
427C22×C8—831no—
428C22×C8—831no—
429C4×D4—3321no—
430C4×D4—3321no—
431C4×D4—1662no—
432C4×D4—1662no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—831no—
438C2×C4⋊C4—831no—
439C2×C4⋊C4C4×D8314yescomplemented
440C2×C4⋊C4C22×D8311yescharacteristic
441C2×C4⋊C4C22×D8311yescharacteristic
442C2×C4⋊C4C22×D8311yescharacteristic
443C2×C4⋊C4C22×D8311yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—1661no—
446C2×C22⋊C4—1661no—
447C2×C22⋊C4—1661no—
448C2×C22⋊C4C22⋊D8311yescharacteristic
449C2×C22⋊C4C22⋊D8311yescharacteristic
450C2×C42—21no—
451C2×C42—21no—
452C2×C42C22×D8311yescharacteristic
453C2×C42C22×D8311yescharacteristic
454#107—3321no—
455#106—3321no—
456#103—3321no—
457#103—3321no—
458#103—834no—
459#103—834no—
460#102—834no—
461#102—834no—
462#102—1662no—
463#102—1662no—
464C22⋊C8—1662no—
465#97—3321no—
466C4×C8—3321no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—1661no—
473#95—1661no—
474#95—1661no—
475#95—1661no—
476#95—1661no—
477#95C22⋊D8311yescharacteristic
478#95C22⋊D8311yescharacteristic
479C24—1661no—
480C24C2×C22⋊D8311yescharacteristic
481#41—3324no—
482#41—3324no—
483#41—3324no—
484#41—1668no—
485C2×Q8—832no—
486C2×Q8—1661no—
487C2×Q8—1661no—
488C2×Q8—1661no—
489C2×Q8—1661no—
490C2×Q8—1661no—
491C2×D4—3322no—
492C2×D4—3322no—
493C2×D4—832no—
494C2×D4—832no—
495C2×D4—832no—
496C2×D4—1664no—
497C2×D4—1661no—
498C2×D4—1661no—
499C2×D4—1661no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—3322no—
512C22×C4—3322no—
513C22×C4—3322no—
514C22×C4—3322no—
515C22×C4—3322no—
516C22×C4—3322no—
517C22×C4—6641no—
518C22×C4—6641no—
519C22×C4—1661no—
520C22×C4—1661no—
521C22×C4—1661no—
522C22×C4—1664no—
523C22×C4C2×C4×D8312yes—
524C22×C4C2×C22⋊D8311yescharacteristic
525C22×C4C2×C22⋊D8311yescharacteristic
526C22×C4C2×C22⋊D8311yescharacteristic
527C22×C4C2×C22⋊D8311yescharacteristic
528C22×C4C2×C22⋊D8311yescharacteristic
529C22×C4#1305059012yes—
530C22×C4C23×D8311yescharacteristic
531M16—3324no—
532C2×C8—832no—
533C2×C8—832no—
534C2×C8—1661no—
535C2×C8—1661no—
536C2×C8—1661no—
537C2×C8—1661no—
538C2×C8—1661no—
539C2×C8—1661no—
540C2×C8—1661no—
541C2×C8—1661no—
542C2×C8—1661no—
543C2×C8—1661no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—81no—
552C4⋊C4—81no—
553C4⋊C4—1661no—
554C4⋊C4—1661no—
555C4⋊C4—1661no—
556C4⋊C4—1661no—
557C4⋊C4C2×C4×D8312yes—
558C4⋊C4C2×C4×D8312yes—
559C22⋊C4—22no—
560C22⋊C4—41no—
561C22⋊C4—42no—
562C22⋊C4—3322no—
563C22⋊C4—3322no—
564C22⋊C4—6641no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—81no—
570C42—81no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—3321no—
578C23—3321no—
579C23—3321no—
580C23—3321no—
581C23—1662no—
582C23—1662no—
583C23—1662no—
584C23C4×C22⋊D8312yes—
585C23C22×C22⋊D8311yescharacteristic
586Q8—3321no—
587Q8—3321no—
588Q8—1662no—
589Q8—1662no—
590D4—3328no—
591D4—834no—
592D4—1662no—
593D4—1662no—
594D4—1662no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—84no—
625C2×C4—3328no—
626C2×C4—3321no—
627C2×C4—3321no—
628C2×C4—3321no—
629C2×C4—3321no—
630C2×C4—3321no—
631C2×C4—3321no—
632C2×C4—3321no—
633C2×C4—3321no—
634C2×C4—6644no—
635C2×C4—6644no—
636C2×C4—1662no—
637C2×C4C4×C22⋊D8312yes—
638C2×C4#1458182312yes—
639C2×C4C22×C4×D8311yescharacteristic
640C2×C4#41×D8311yescharacteristic
641C2×C4#41×D8311yescharacteristic
642C2×C4C2×#1305059011yescharacteristic
643C2×C4#1458183811yescharacteristic
644C2×C4#1458183811yescharacteristic
645C8—3321no—
646C8—3321no—
647C8—1662no—
648C8—1662no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—3322no—
657C22—3322no—
658C22—3322no—
659C22—3322no—
660C22—3322no—
661C22—3322no—
662C22—1664no—
663C22C2×C4×C22⋊D8311yescharacteristic
664C22#1912833911yescharacteristic
665C22#1912833911yescharacteristic
666C22C2×#1458182311yescharacteristic
667C22#1912849911yescharacteristic
668C22#1912850411yescharacteristic
669C22#1912851211yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—3322no—
680C4—6641no—
681C4—6641no—
682C4#117×D8311yescharacteristic
683C4#1912817511yescharacteristic
684C4#1912837511yescharacteristic
685C4#1912837511yescharacteristic
686C2—42no—
687C2—3324no—
688C2#2491031311yescharacteristic
689C2C4×#1458182311yescharacteristic
690C2#2491629511yescharacteristic
691C2#2491943311yescharacteristic
692C2#2491953811yescharacteristic
693C2#2491965811yescharacteristic
694C2#2491977311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#2345C2
socleC23×C83C22×D4
prime radicalC22×#13050590C22
cosocleC22×C4×C83C24
hypercenter#2345D83
hypocenterC83#22578
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2345

Complements

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

NH ≅ G/Ntype
3. #24908152C2semidirect
4. #24908138C2semidirect
5. #24908104C2semidirect
6. #24908097C2semidirect
7. #24907723C2semidirect
8. #24907709C2semidirect
9. #24907549C2semidirect
10. #24907494C2semidirect
12. #24907291C2semidirect
13. C4×#14581712C2semidirect
14. #24907247C2semidirect
15. C83×#2345C2semidirect
22. #19127700C4semidirect
74. C2×#13050574C2×C4semidirect
92. #14581715C2×C4semidirect
93. #14581715C2×C4semidirect
112. C2×C4⋊C4×C83C2×C4semidirect
349. #2345D83semidirect
363. C83#22578semidirect
439. C2×C4⋊C4C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191277002
#249102942
#249081522
#249081382
#249081042
#249080972
#249077232
#249077092
#249075492
#249074942
#249074012
#249072912
C4×#145817122
#249072472
C83×#23452
#2257883