Finite Group Databasebeta

← #35567142

Subgroups — #35567142

Order 21248.

2502 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581775C211yesmaximal, characteristic
2#24910607C214yesmaximal, complemented
3#24910594C214yesmaximal, complemented
4#24910333C212yesmaximal, complemented
5#24910327C212yesmaximal, complemented
6#24910313C212yesmaximal, complemented
7#24910305C212yesmaximal, complemented
8#24910253C214yesmaximal, complemented
9#24910249C214yesmaximal, complemented
10#24910059C211yesmaximal, characteristic, complemented
11#24910059C211yesmaximal, characteristic, complemented
12#24910044C211yesmaximal, characteristic
13#24910039C211yesmaximal, characteristic
14#24909846C211yesmaximal, characteristic, complemented
15C83×#2280C211yesmaximal, characteristic, complemented
16C23×C22⋊D83C2211yescharacteristic
17C2×#14581775C4116yescomplemented
18C2×#14581775C2212yes—
19C2×#14581775C2212yes—
20C2×#14581775C2212yes—
21C2×#14581775C2212yes—
22C2×#14581751C2212yes—
23C2×#14581748C2212yes—
24C22×Dic83⋊C4C2211yescharacteristic
25C22×Dic83⋊C4C2211yescharacteristic
26C22×C22⋊Dic83C2211yescharacteristic
27C22×(C2×D83)⋊C4C2211yescharacteristic
28C22×(C2×D83)⋊C4C2211yescharacteristic
29C2×C22⋊C4×D83C2212yes—
30#19127601C2214yes—
31#19127601C2214yes—
32#19127598C2214yescomplemented
33#19127596C2214yescomplemented
34#19127595C2214yescomplemented
35#19127595C2214yescomplemented
36#19127593C2214yescomplemented
37#19127592C2214yescomplemented
38#19127591C2214yescomplemented
39#19127590C2214yescomplemented
40#19127589C2214yescomplemented
41#19127589C2214yescomplemented
42#19127588C2214yescomplemented
43#19127585C2214yescomplemented
44#19127583C2214yescomplemented
45#19127582C2214yescomplemented
46#19127577C2214yes—
47#19127577C2214yes—
48#19127575C2214yescomplemented
49#19127572C2214yescomplemented
50#19127564C2212yes—
51#19127562C2212yes—
52#19127561C2212yescomplemented
53#19127561C2212yescomplemented
54#19127559C2212yes—
55#19127559C2212yes—
56#19127557C2211yescharacteristic
57#19127557C2211yescharacteristic
58#19127556C2212yes—
59C4×Dic83⋊C4C2214yescomplemented
60#19127552C2214yescomplemented
61C22⋊C4×Dic83C2212yes—
62C22⋊C4×Dic83C2212yes—
63C4×(C2×D83)⋊C4C2214yescomplemented
64C4×C22⋊Dic83C2212yescomplemented
65C4×C22⋊Dic83C2212yescomplemented
66#19127548C2214yescomplemented
67C24×C4×C83C2211yescharacteristic
68C2×#117×C83C2212yes—
69#381×C83C2212yes—
70#380×C83C2212yescomplemented
71#380×C83C2212yescomplemented
72#379×C83C2211yescharacteristic
73#379×C83C2211yescharacteristic
74C4×C22⋊C4×C83C2212yescomplemented
75C4×C22⋊C4×C83C2212yescomplemented
76C24×D83C2311yescharacteristic
77C22×C22⋊D83—44no—
78C22×C22⋊D83C2×C418yes—
79C22×C22⋊D83C2312yes—
80C22×C22⋊D83C2312yes—
81C23×Dic83C2311yescharacteristic
82C23×Dic83C2311yescharacteristic
83C23×Dic83C2311yescharacteristic
84C22×C4×D83C2314yes—
85#14581775C2×C4116yescomplemented
86#14581775C2×C4116yescomplemented
87#14581775C2×C4116yescomplemented
88#14581775C2×C4116yescomplemented
89#14581751—44no—
90#14581748—44no—
91C2×C4⋊Dic83C2314yes—
92C2×Dic83⋊C4C2×C418yescomplemented
93C2×Dic83⋊C4C2×C418yescomplemented
94C2×Dic83⋊C4C2314yes—
95C2×Dic83⋊C4C2314yes—
96C2×Dic83⋊C4C2314yes—
97C2×Dic83⋊C4C2312yes—
98C2×Dic83⋊C4C2312yes—
99C2×Dic83⋊C4C2312yes—
100C2×Dic83⋊C4C2312yes—
101C2×C22⋊Dic83C2×C418yescomplemented
102C2×C22⋊Dic83C2312yes—
103C2×C22⋊Dic83C2312yes—
104C2×C22⋊Dic83C2312yes—
105C2×C22⋊Dic83C2312yes—
106C2×C22⋊Dic83C2312yes—
107C2×C22⋊Dic83C2312yes—
108C2×C22⋊Dic83C2312yes—
109C2×C22⋊Dic83C2312yes—
110C2×(C2×D83)⋊C4C2×C418yes—
111C2×(C2×D83)⋊C4C2×C418yes—
112C2×(C2×D83)⋊C4C2314yes—
113C2×(C2×D83)⋊C4C2314yes—
114C2×(C2×D83)⋊C4C2314yes—
115C2×(C2×D83)⋊C4C2312yes—
116C2×(C2×D83)⋊C4C2312yes—
117C2×(C2×D83)⋊C4C2312yes—
118C2×(C2×D83)⋊C4C2312yes—
119C22⋊C4×D83—44no—
120C2×C4×Dic83C2314yes—
121C2×C4×Dic83C2314yes—
122C2×C4×Dic83C2314yes—
123C2×C4×Dic83C2314yes—
124C83⋊#95C2314yes—
125C83⋊#95C2314yes—
126C83⋊#95C2314yes—
127C83⋊#95C2314yes—
128C83⋊#95C2314yes—
129C83⋊#95C2314yes—
130C83⋊#95C2314yes—
131C83⋊#95C2314yes—
132C25×C83C2311yescharacteristic
133C23×C4×C83—44no—
134C23×C4×C83C2×C418yescomplemented
135C23×C4×C83C2311yescharacteristic
136C23×C4×C83C2311yescharacteristic
137C23×C4×C83C2311yescharacteristic
138C23×C4×C83C2311yescharacteristic
139C23×C4×C83C2311yescharacteristic
140C23×C4×C83C2311yescharacteristic
141#117×C83—44no—
142C2×C4⋊C4×C83C2314yes—
143C2×C22⋊C4×C83C2312yes—
144C2×C22⋊C4×C83C2312yes—
145C2×C22⋊C4×C83C2312yes—
146C2×C22⋊C4×C83C2312yes—
147C2×C22⋊C4×C83C2312yes—
148C2×C22⋊C4×C83C2312yes—
149C2×C42×C83C2314yes—
150#95×C83C2314yes—
151#95×C83C2314yes—
152C23×D83—24no—
153C23×D83—42no—
154C23×D83—42no—
155C23×D83C22×C414yes—
156C23×D83C2412yes—
157C2×C22⋊D83—416no—
158C2×C22⋊D83—42no—
159C2×C22⋊D83—42no—
160C2×C22⋊D83—42no—
161C2×C22⋊D83—42no—
162C2×C22⋊D83C22×C418yes—
163C2×C22⋊D83C22×C418yes—
164C22×Dic83—24no—
165C22×Dic83—42no—
166C22×Dic83—42no—
167C22×Dic83C22×C414yes—
168C22×Dic83C22×C414yes—
169C22×Dic83C22×C414yes—
170C22×Dic83C2414yes—
171C22×Dic83C2414yes—
172C22×Dic83C2412yes—
173C22×Dic83C2412yes—
174C22×Dic83C2412yes—
175C2×C4×D83—44no—
176C2×C4×D83—44no—
177C2×C4×D83—44no—
178C4⋊Dic83—44no—
179Dic83⋊C4—44no—
180Dic83⋊C4—44no—
181Dic83⋊C4—44no—
182Dic83⋊C4C22×C418yes—
183Dic83⋊C4C22×C418yes—
184Dic83⋊C4C22×C418yes—
185Dic83⋊C4C22×C418yes—
186C22⋊Dic83—24no—
187C22⋊Dic83—24no—
188C22⋊Dic83—42no—
189C22⋊Dic83—42no—
190C22⋊Dic83—42no—
191C22⋊Dic83—42no—
192C22⋊Dic83C22×C418yes—
193C22⋊Dic83C22×C418yes—
194(C2×D83)⋊C4—44no—
195(C2×D83)⋊C4—44no—
196(C2×D83)⋊C4—44no—
197(C2×D83)⋊C4C22×C418yes—
198(C2×D83)⋊C4C22×C418yes—
199(C2×D83)⋊C4C22×C418yes—
200(C2×D83)⋊C4C22×C418yes—
201C4×Dic83—44no—
202C4×Dic83—44no—
203C4×Dic83—44no—
204C4×Dic83—44no—
205C24×C83—24no—
206C24×C83—42no—
207C24×C83—42no—
208C24×C83C22×C414yes—
209C24×C83C2411yescharacteristic
210C24×C83C2411yescharacteristic
211C24×C83C2411yescharacteristic
212C22×C4×C83—24no—
213C22×C4×C83—24no—
214C22×C4×C83—416no—
215C22×C4×C83—42no—
216C22×C4×C83—42no—
217C22×C4×C83—42no—
218C22×C4×C83—42no—
219C22×C4×C83C22×C414yes—
220C22×C4×C83C22×C414yes—
221C22×C4×C83C22×C414yes—
222C22×C4×C83C22×C414yes—
223C22×C4×C83C22×C414yes—
224C22×C4×C83C22×C414yes—
225C22×C4×C83C2414yes—
226C22×C4×C83C2414yes—
227C22×C4×C83C2411yescharacteristic
228C22×C4×C83C2411yescharacteristic
229C22×C4×C83C2411yescharacteristic
230C22×C4×C83C2411yescharacteristic
231C4⋊C4×C83—44no—
232C22⋊C4×C83—24no—
233C22⋊C4×C83—24no—
234C22⋊C4×C83—42no—
235C22⋊C4×C83—42no—
236C22⋊C4×C83—42no—
237C22⋊C4×C83—42no—
238C42×C83—44no—
239C23×C83—22no—
240C23×C83—22no—
241C23×C83—28no—
242C23×C83—22no—
243C23×C83—22no—
244C23×C83—22no—
245C23×C83—22no—
246C23×C83—22no—
247C23×C83—22no—
248C23×C83—44no—
249C23×C83—44no—
250C23×C83—416no—
251C23×C83C23×C412yes—
252C23×C83C23×C412yes—
253C23×C83C23×C412yes—
254C23×C83H(5,𝔽2)14yes—
255C23×C83C2511yescharacteristic
256C22×D83—22no—
257C22×D83—22no—
258C22×D83—24no—
259C22×D83—24no—
260C22×D83—28no—
261C22×D83—44no—
262C22×D83—44no—
263C22×D83—88no—
264C22×D83C23×C414yes—
265C2×C4×C83—28no—
266C2×C4×C83—28no—
267C2×C4×C83—22no—
268C2×C4×C83—22no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83—24no—
272C2×C4×C83—24no—
273C2×C4×C83—24no—
274C2×C4×C83—24no—
275C2×C4×C83—24no—
276C2×C4×C83—24no—
277C2×C4×C83—44no—
278C2×C4×C83—44no—
279C2×C4×C83—44no—
280C2×C4×C83—44no—
281C2×C4×C83C23×C412yes—
282C2×C4×C83C23×C412yes—
283C2×C4×C83C23×C412yes—
284C2×C4×C83C23×C412yes—
285C22⋊D83—48no—
286C22⋊D83—48no—
287C2×Dic83—28no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—24no—
291C2×Dic83—24no—
292C2×Dic83—24no—
293C2×Dic83—24no—
294C2×Dic83—24no—
295C2×Dic83—24no—
296C2×Dic83—24no—
297C2×Dic83—24no—
298C2×Dic83—44no—
299C2×Dic83—44no—
300C2×Dic83C23×C414yes—
301C2×Dic83C23×C414yes—
302C2×Dic83C23×C414yes—
303C4×D83—88no—
304C22×C83—22no—
305C22×C83—22no—
306C22×C83—28no—
307C22×C83—22no—
308C22×C83—22no—
309C22×C83—22no—
310C22×C83—22no—
311C22×C83—22no—
312C22×C83—22no—
313C22×C83—416no—
314C22×C83—44no—
315C22×C83—44no—
316C22×C83#51814yes—
317C22×C83C24×C411yescharacteristic
318C22×C83C2×H(5,𝔽2)12yes—
319C22×C83#58512yes—
320C22×C83#58512yes—
321C2×D83—24no—
322C2×D83—24no—
323C2×D83—24no—
324C2×D83—44no—
325C2×D83—44no—
326C2×D83—88no—
327C4×C83—22no—
328C4×C83—22no—
329C4×C83—22no—
330C4×C83—22no—
331C4×C83—44no—
332C4×C83—44no—
333Dic83—24no—
334Dic83—24no—
335Dic83—24no—
336Dic83—44no—
337Dic83—44no—
338#34357—831nomaximal, Sylow
339C2×C83—24no—
340C2×C83—42no—
341C2×C83—42no—
342C2×C83C2×#51811yescharacteristic
343C2×C83#342811yescharacteristic
344C2×C83#342811yescharacteristic
345C2×C83#353314yes—
346D83—44no—
347C22×#123—831no—
348#2376—834no—
349#2374—834no—
350#2344—832no—
351#2344—832no—
352#2342—832no—
353#2342—832no—
354#2335—834no—
355#2335—834no—
356#2312—831no—
357#2312—831no—
358#2309—831no—
359#2308—831no—
360#2280—831no—
361#2280D8311yescharacteristic, complemented
362C83#3435711yescharacteristic, complemented, Sylow
363C23×D4—831no—
364C24×C4C2×D8311yescharacteristic
365C2×#123—8316no—
366C2×#123—832no—
367C2×#123—832no—
368C2×#123—832no—
369C2×#123—832no—
370C2×#117—832no—
371C2×#117—832no—
372C2×#117C2×D8312yes—
373C22×C4⋊C4—831no—
374C22×C4⋊C4—831no—
375C22×C22⋊C4—832no—
376C22×C22⋊C4—831no—
377C22×C22⋊C4—831no—
378C22×C22⋊C4—831no—
379#390—834no—
380#390—834no—
381#389—834no—
382#389—834no—
383#388—834no—
384#388—834no—
385#388—834no—
386#388—834no—
387#388—834no—
388#388—834no—
389#388—834no—
390#388—834no—
391#387—834no—
392#387—834no—
393#387—834no—
394#387—834no—
395#386—834no—
396#386—834no—
397#385—834no—
398#385—834no—
399#381—832no—
400#381—832no—
401#381C2×D8312yes—
402#380—832no—
403#380—832no—
404#380—832no—
405#380—832no—
406#380C2×D8312yescomplemented
407#380C2×D8312yescomplemented
408#379—831no—
409#379—831no—
410#379—832no—
411#379C2×D8311yescharacteristic
412#379C2×D8311yescharacteristic
413C4×C4⋊C4—834no—
414C4×C4⋊C4—834no—
415C4×C22⋊C4—832no—
416C4×C22⋊C4—832no—
417C4×C22⋊C4—832no—
418C4×C22⋊C4—832no—
419C4×C22⋊C4—834no—
420C4×C22⋊C4—834no—
421C4×C22⋊C4C2×D8312yescomplemented
422C4×C22⋊C4C2×D8312yescomplemented
423C25—831no—
424C25C22×D8311yescharacteristic
425C22×D4—3324no—
426C22×D4—838no—
427C22×D4—832no—
428C22×D4—832no—
429C23×C4—44no—
430C23×C4—834no—
431C23×C4—831no—
432C23×C4—831no—
433C23×C4—831no—
434C23×C4C4×D8318yescomplemented
435C23×C4C22×D8311yescharacteristic
436C23×C4C22×D8311yescharacteristic
437C23×C4C22×D8311yescharacteristic
438C23×C4C22×D8311yescharacteristic
439C23×C4C22×D8311yescharacteristic
440C23×C4C22×D8311yescharacteristic
441#123—8316no—
442#123—8316no—
443#123—8316no—
444#123—8316no—
445#117—44no—
446#117—3324no—
447#117—3324no—
448C2×C4⋊C4—834no—
449C2×C4⋊C4—834no—
450C2×C4⋊C4—834no—
451C2×C4⋊C4—834no—
452C2×C4⋊C4—838no—
453C2×C4⋊C4—838no—
454C2×C4⋊C4—832no—
455C2×C4⋊C4—832no—
456C2×C4⋊C4—832no—
457C2×C4⋊C4—832no—
458C2×C4⋊C4C22×D8314yes—
459C2×C22⋊C4—3324no—
460C2×C22⋊C4—832no—
461C2×C22⋊C4—832no—
462C2×C22⋊C4—832no—
463C2×C22⋊C4—832no—
464C2×C22⋊C4—834no—
465C2×C22⋊C4—834no—
466C2×C22⋊C4—834no—
467C2×C22⋊C4—838no—
468C2×C22⋊C4—832no—
469C2×C22⋊C4—832no—
470C2×C22⋊C4—838no—
471C2×C22⋊C4—838no—
472C2×C22⋊C4—832no—
473C2×C22⋊C4—832no—
474C2×C22⋊C4—832no—
475C2×C22⋊C4—832no—
476C2×C22⋊C4—832no—
477C2×C22⋊C4—832no—
478C2×C22⋊C4C22×D8312yes—
479C2×C22⋊C4C22×D8312yes—
480C2×C22⋊C4C22×D8312yes—
481C2×C22⋊C4C22×D8312yes—
482C2×C22⋊C4C22×D8312yes—
483C2×C22⋊C4C22×D8312yes—
484C2×C42—834no—
485C2×C42—834no—
486C2×C42—834no—
487C2×C42—834no—
488C2×C42C22×D8314yes—
489#95—834no—
490#95—834no—
491#95—834no—
492#95—834no—
493#95—834no—
494#95—834no—
495#95—834no—
496#95—834no—
497#95C22×D8314yes—
498#95C22×D8314yes—
499C24—24no—
500C24—42no—
501C24—42no—
502C24—3322no—
503C24—3322no—
504C24—834no—
505C24—832no—
506C24—1664no—
507C24C2×C4×D8314yes—
508C24C23×D8311yescharacteristic
509C24C23×D8311yescharacteristic
510C24C23×D8311yescharacteristic
511C2×D4—33216no—
512C2×D4—3322no—
513C2×D4—3322no—
514C2×D4—3322no—
515C2×D4—3322no—
516C2×D4—838no—
517C2×D4—838no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—416no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—3324no—
526C22×C4—3324no—
527C22×C4—3324no—
528C22×C4—3322no—
529C22×C4—3322no—
530C22×C4—834no—
531C22×C4—834no—
532C22×C4—834no—
533C22×C4—832no—
534C22×C4—832no—
535C22×C4—832no—
536C22×C4—834no—
537C22×C4—834no—
538C22×C4—1664no—
539C22×C4C2×C4×D8314yes—
540C22×C4C2×C4×D8314yes—
541C22×C4C2×C4×D8314yes—
542C22×C4C2×C4×D8314yes—
543C22×C4C2×C4×D8314yes—
544C22×C4C2×C4×D8314yes—
545C22×C4C23×D8314yes—
546C22×C4C23×D8314yes—
547C22×C4C23×D8311yescharacteristic
548C22×C4C23×D8311yescharacteristic
549C22×C4C23×D8311yescharacteristic
550C22×C4C23×D8311yescharacteristic
551C4⋊C4—44no—
552C4⋊C4—3324no—
553C4⋊C4—3324no—
554C4⋊C4—3324no—
555C4⋊C4—3324no—
556C4⋊C4—838no—
557C4⋊C4—838no—
558C4⋊C4—838no—
559C4⋊C4—838no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—3324no—
567C22⋊C4—3324no—
568C22⋊C4—3324no—
569C22⋊C4—3322no—
570C22⋊C4—3322no—
571C22⋊C4—3322no—
572C22⋊C4—3322no—
573C22⋊C4—838no—
574C22⋊C4—838no—
575C22⋊C4—838no—
576C22⋊C4—838no—
577C22⋊C4—838no—
578C22⋊C4—838no—
579C22⋊C4—1664no—
580C22⋊C4—1664no—
581C42—44no—
582C42—3324no—
583C42—3324no—
584C42—3324no—
585C42—3324no—
586C23—22no—
587C23—22no—
588C23—28no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—44no—
596C23—44no—
597C23—416no—
598C23—3324no—
599C23—3324no—
600C23—834no—
601C23—6648no—
602C23—1662no—
603C23—1662no—
604C23—1664no—
605C23—1664no—
606C23—1668no—
607C23C22×C4×D8312yes—
608C23C22×C4×D8312yes—
609C23C22×C4×D8312yes—
610C23#1458183714yes—
611C23C24×D8311yescharacteristic
612D4—3328no—
613D4—3328no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—3324no—
631C2×C4—3324no—
632C2×C4—834no—
633C2×C4—834no—
634C2×C4—834no—
635C2×C4—6648no—
636C2×C4—1664no—
637C2×C4—1664no—
638C2×C4—1664no—
639C2×C4—1664no—
640C2×C4—1664no—
641C2×C4—1664no—
642C2×C4—1668no—
643C2×C4—1662no—
644C2×C4—1662no—
645C2×C4—1664no—
646C2×C4—1664no—
647C2×C4C22×C4×D8312yes—
648C2×C4C22×C4×D8312yes—
649C2×C4C22×C4×D8312yes—
650C2×C4C22×C4×D8312yes—
651C22—28no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—416no—
661C22—44no—
662C22—44no—
663C22—3324no—
664C22—3324no—
665C22—6648no—
666C22—1664no—
667C22—1664no—
668C22—1664no—
669C22#1912817414yes—
670C22C23×C4×D8311yescharacteristic
671C22C2×#1458183712yes—
672C22#1912853712yes—
673C22#1912853712yes—
674C4—22no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—3324no—
681C4—3324no—
682C4—1664no—
683C4—1664no—
684C4—1664no—
685C2—24no—
686C2—42no—
687C2—42no—
688C2—3324no—
689C2C2×#1912817411yescharacteristic
690C2#2492066411yescharacteristic
691C2#2492066411yescharacteristic
692C2#2492162714yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2280C2
socle, cosocleC23×C83C25
prime radicalC23×C22⋊D83C22
hypercenter#2280D83
hypocenterC83#34357
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. #24910607C2semidirect
3. #24910594C2semidirect
4. #24910333C2semidirect
5. #24910327C2semidirect
6. #24910313C2semidirect
7. #24910305C2semidirect
8. #24910253C2semidirect
9. #24910249C2semidirect
10. #24910059C2semidirect
11. #24910059C2semidirect
14. #24909846C2semidirect
15. C83×#2280C2semidirect
17. C2×#14581775C4semidirect
32. #19127598C22semidirect
33. #19127596C22semidirect
34. #19127595C22semidirect
35. #19127595C22semidirect
36. #19127593C22semidirect
37. #19127592C22semidirect
38. #19127591C22semidirect
39. #19127590C22semidirect
40. #19127589C22semidirect
41. #19127589C22semidirect
42. #19127588C22semidirect
43. #19127585C22semidirect
44. #19127583C22semidirect
45. #19127582C22semidirect
48. #19127575C22semidirect
49. #19127572C22semidirect
52. #19127561C22semidirect
53. #19127561C22semidirect
59. C4×Dic83⋊C4C22semidirect
60. #19127552C22semidirect
63. C4×(C2×D83)⋊C4C22semidirect
64. C4×C22⋊Dic83C22semidirect
65. C4×C22⋊Dic83C22semidirect
66. #19127548C22semidirect
70. #380×C83C22semidirect
71. #380×C83C22semidirect
74. C4×C22⋊C4×C83C22semidirect
75. C4×C22⋊C4×C83C22semidirect
85. #14581775C2×C4semidirect
86. #14581775C2×C4semidirect
87. #14581775C2×C4semidirect
88. #14581775C2×C4semidirect
92. C2×Dic83⋊C4C2×C4semidirect
93. C2×Dic83⋊C4C2×C4semidirect
101. C2×C22⋊Dic83C2×C4semidirect
134. C23×C4×C83C2×C4semidirect
361. #2280D83semidirect
362. C83#34357semidirect
406. #380C2×D83semidirect
407. #380C2×D83semidirect
421. C4×C22⋊C4C2×D83semidirect
422. C4×C22⋊C4C2×D83semidirect
434. C23×C4C4×D83semidirect

Maximal subgroups

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

subgroupindex
C22×#145817752
#249106072
#249105942
#249103332
#249103272
#249103132
#249103052
#249102532
#249102492
#249100592
#249100442
#249100392
#249098462
C83×#22802
#3435783