Finite Group Databasebeta

← #35567144

Subgroups — #35567144

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×#14581776C211yesmaximal, characteristic
2#24910609C214yesmaximal, complemented
3#24910593C214yesmaximal, complemented
4#24910334C212yesmaximal, complemented
5#24910330C212yesmaximal, complemented
6#24910315C212yesmaximal, complemented
7#24910309C212yesmaximal, complemented
8#24910258C214yesmaximal, complemented
9#24910246C214yesmaximal, complemented
10#24910061C211yesmaximal, characteristic, complemented
11#24910044C211yesmaximal, characteristic
12#24910039C211yesmaximal, characteristic
13#24909841C211yesmaximal, characteristic, complemented
14#24909841C211yesmaximal, characteristic, complemented
15C83×#2312C211yesmaximal, characteristic, complemented
16C23×C22⋊D83C2211yescharacteristic
17C24×Dic83C2211yescharacteristic
18C2×#14581776C4116yescomplemented
19C2×#14581776C2212yes—
20C2×#14581776C2212yes—
21C2×#14581776C2212yes—
22C2×#14581776C2212yes—
23C2×#14581748C2212yes—
24C2×#14581748C2212yes—
25C2×#14581748C2212yes—
26C22×C4⋊Dic83C2211yescharacteristic
27C22×C4⋊Dic83C2211yescharacteristic
28C22×(C2×D83)⋊C4C2211yescharacteristic
29C22×(C2×D83)⋊C4C2211yescharacteristic
30C2×C22⋊C4×D83C2212yes—
31#19127601C2214yes—
32#19127601C2214yes—
33#19127599C2214yescomplemented
34#19127597C2214yescomplemented
35#19127594C2214yescomplemented
36#19127594C2214yescomplemented
37#19127593C2214yescomplemented
38#19127592C2214yescomplemented
39#19127591C2214yescomplemented
40#19127590C2214yescomplemented
41#19127586C2214yescomplemented
42#19127586C2214yescomplemented
43#19127584C2214yescomplemented
44#19127584C2214yescomplemented
45#19127577C2214yes—
46#19127577C2214yes—
47#19127575C2214yescomplemented
48#19127572C2214yescomplemented
49#19127562C2212yes—
50#19127562C2212yes—
51#19127562C2212yes—
52#19127561C2212yes—
53#19127559C2212yescomplemented
54#19127559C2212yescomplemented
55#19127559C2212yescomplemented
56#19127559C2212yescomplemented
57#19127557C2211yescharacteristic
58#19127557C2211yescharacteristic
59#19127556C2212yes—
60C4⋊C4×Dic83C2214yescomplemented
61C4×C4⋊Dic83C2214yescomplemented
62C22⋊C4×Dic83C2212yescomplemented
63C22⋊C4×Dic83C2212yescomplemented
64C22⋊C4×Dic83C2212yescomplemented
65C22⋊C4×Dic83C2212yescomplemented
66C4×(C2×D83)⋊C4C2214yescomplemented
67C4×C22⋊Dic83C2212yes—
68#19127548C2214yescomplemented
69C22×C22⋊C4×C83C2211yescharacteristic
70#388×C83C2214yescomplemented
71#388×C83C2214yescomplemented
72#380×C83C2212yes—
73#379×C83C2211yescharacteristic
74#379×C83C2211yescharacteristic
75C4×C22⋊C4×C83C2212yes—
76C24×D83C2311yescharacteristic
77C22×C22⋊D83—44no—
78C22×C22⋊D83C2×C418yes—
79C22×C22⋊D83C2312yes—
80C22×C22⋊D83C2312yes—
81C23×Dic83—44no—
82C23×Dic83C2×C418yescomplemented
83C23×Dic83C2311yescharacteristic
84C23×Dic83C2311yescharacteristic
85C23×Dic83C2311yescharacteristic
86C23×Dic83C2311yescharacteristic
87C23×Dic83C2311yescharacteristic
88C23×Dic83C2311yescharacteristic
89C23×Dic83C2311yescharacteristic
90C22×C4×D83C2314yes—
91#14581776C2×C4116yescomplemented
92#14581776C2×C4116yescomplemented
93#14581776C2×C4116yescomplemented
94#14581776C2×C4116yescomplemented
95#14581748—44no—
96#14581748—44no—
97#14581748—44no—
98C2×C4⋊Dic83C2×C418yescomplemented
99C2×C4⋊Dic83C2×C418yescomplemented
100C2×C4⋊Dic83C2314yes—
101C2×C4⋊Dic83C2312yes—
102C2×C4⋊Dic83C2312yes—
103C2×C4⋊Dic83C2312yes—
104C2×C4⋊Dic83C2312yes—
105C2×Dic83⋊C4C2314yes—
106C2×Dic83⋊C4C2314yes—
107C2×Dic83⋊C4C2314yes—
108C2×C22⋊Dic83C2312yes—
109C2×C22⋊Dic83C2312yes—
110C2×C22⋊Dic83C2312yes—
111C2×C22⋊Dic83C2312yes—
112C2×C22⋊Dic83C2312yes—
113C2×C22⋊Dic83C2312yes—
114C2×(C2×D83)⋊C4C2×C418yes—
115C2×(C2×D83)⋊C4C2×C418yes—
116C2×(C2×D83)⋊C4C2314yes—
117C2×(C2×D83)⋊C4C2314yes—
118C2×(C2×D83)⋊C4C2314yes—
119C2×(C2×D83)⋊C4C2312yes—
120C2×(C2×D83)⋊C4C2312yes—
121C2×(C2×D83)⋊C4C2312yes—
122C2×(C2×D83)⋊C4C2312yes—
123C22⋊C4×D83—44no—
124C2×C4×Dic83C2314yes—
125C2×C4×Dic83C2314yes—
126C2×C4×Dic83C2314yes—
127C2×C4×Dic83C2314yes—
128C83⋊#95C2314yes—
129C83⋊#95C2314yes—
130C83⋊#95C2314yes—
131C83⋊#95C2314yes—
132C83⋊#95C2314yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C25×C83C2311yescharacteristic
137C23×C4×C83C2311yescharacteristic
138C23×C4×C83C2311yescharacteristic
139C2×C4⋊C4×C83C2314yes—
140C2×C22⋊C4×C83C2×C418yescomplemented
141C2×C22⋊C4×C83C2312yes—
142C2×C22⋊C4×C83C2312yes—
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—24no—
166C22×Dic83—24no—
167C22×Dic83—416no—
168C22×Dic83—42no—
169C22×Dic83—42no—
170C22×Dic83—42no—
171C22×Dic83—42no—
172C22×Dic83C22×C414yes—
173C22×Dic83C22×C414yes—
174C22×Dic83C22×C414yes—
175C22×Dic83C22×C414yes—
176C22×Dic83C22×C414yes—
177C22×Dic83C22×C414yes—
178C22×Dic83C22×C414yes—
179C22×Dic83C2414yes—
180C22×Dic83C2414yes—
181C22×Dic83C2411yescharacteristic
182C22×Dic83C2411yescharacteristic
183C22×Dic83C2411yescharacteristic
184C22×Dic83C2411yescharacteristic
185C22×Dic83C2412yes—
186C2×C4×D83—44no—
187C2×C4×D83—44no—
188C2×C4×D83—44no—
189C4⋊Dic83—44no—
190C4⋊Dic83C22×C418yes—
191C4⋊Dic83C22×C418yes—
192C4⋊Dic83C22×C418yes—
193C4⋊Dic83C22×C418yes—
194Dic83⋊C4—44no—
195Dic83⋊C4—44no—
196Dic83⋊C4—44no—
197C22⋊Dic83—24no—
198C22⋊Dic83—24no—
199C22⋊Dic83—42no—
200C22⋊Dic83—42no—
201C22⋊Dic83—42no—
202C22⋊Dic83—42no—
203(C2×D83)⋊C4—44no—
204(C2×D83)⋊C4—44no—
205(C2×D83)⋊C4—44no—
206(C2×D83)⋊C4C22×C418yes—
207(C2×D83)⋊C4C22×C418yes—
208(C2×D83)⋊C4C22×C418yes—
209(C2×D83)⋊C4C22×C418yes—
210C4×Dic83—44no—
211C4×Dic83—44no—
212C4×Dic83—44no—
213C4×Dic83—44no—
214C24×C83—24no—
215C24×C83—42no—
216C24×C83—42no—
217C24×C83C22×C414yes—
218C24×C83C2411yescharacteristic
219C24×C83C2411yescharacteristic
220C24×C83C2411yescharacteristic
221C22×C4×C83—42no—
222C22×C4×C83—42no—
223C22×C4×C83C22×C414yes—
224C22×C4×C83C22×C414yes—
225C22×C4×C83C2414yes—
226C22×C4×C83C2414yes—
227C22×C4×C83C2412yes—
228C22×C4×C83C2412yes—
229C4⋊C4×C83—44no—
230C22⋊C4×C83—24no—
231C22⋊C4×C83—24no—
232C22⋊C4×C83—42no—
233C22⋊C4×C83—42no—
234C22⋊C4×C83—42no—
235C22⋊C4×C83—42no—
236C22⋊C4×C83C22×C418yes—
237C22⋊C4×C83C22×C418yes—
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—24no—
266C2×C4×C83—24no—
267C2×C4×C83—24no—
268C2×C4×C83—24no—
269C2×C4×C83—24no—
270C2×C4×C83—24no—
271C2×C4×C83—24no—
272C2×C4×C83—24no—
273C2×C4×C83—44no—
274C2×C4×C83—44no—
275C2×C4×C83C23×C414yes—
276C2×C4×C83C23×C414yes—
277C22⋊D83—48no—
278C22⋊D83—48no—
279C2×Dic83—28no—
280C2×Dic83—28no—
281C2×Dic83—28no—
282C2×Dic83—22no—
283C2×Dic83—22no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—22no—
288C2×Dic83—24no—
289C2×Dic83—24no—
290C2×Dic83—24no—
291C2×Dic83—24no—
292C2×Dic83—24no—
293C2×Dic83—24no—
294C2×Dic83—44no—
295C2×Dic83—44no—
296C2×Dic83—44no—
297C2×Dic83—44no—
298C2×Dic83C23×C412yes—
299C2×Dic83C23×C412yes—
300C2×Dic83C23×C412yes—
301C2×Dic83C23×C412yes—
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—24no—
328C4×C83—24no—
329C4×C83—44no—
330C4×C83—44no—
331Dic83—22no—
332Dic83—22no—
333Dic83—22no—
334Dic83—22no—
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#2312D8311yescharacteristic, complemented
358#2309—831no—
359#2308—831no—
360#2280—831no—
361#2280—831no—
362C83#3435711yescharacteristic, complemented, Sylow
363C23×D4—831no—
364C24×C4—831no—
365C2×#123—8316no—
366C2×#123—832no—
367C2×#123—832no—
368C2×#123—832no—
369C2×#123—832no—
370C2×#117—832no—
371C2×#117—832no—
372C2×#117—832no—
373C22×C4⋊C4—831no—
374C22×C4⋊C4—831no—
375C22×C22⋊C4—832no—
376C22×C22⋊C4—831no—
377C22×C22⋊C4—831no—
378C22×C22⋊C4C2×D8311yescharacteristic
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#388C2×D8314yescomplemented
390#388C2×D8314yescomplemented
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#381—832no—
402#380—832no—
403#380—832no—
404#380—832no—
405#380—832no—
406#380—832no—
407#380C2×D8312yes—
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—832no—
420C4×C22⋊C4—834no—
421C4×C22⋊C4—834no—
422C4×C22⋊C4C2×D8312yes—
423C25—831no—
424C25C22×D8311yescharacteristic
425C22×D4—3324no—
426C22×D4—838no—
427C22×D4—832no—
428C22×D4—832no—
429C23×C4—3324no—
430C23×C4—834no—
431C23×C4—838no—
432C23×C4—831no—
433C23×C4—831no—
434C23×C4—831no—
435C23×C4—831no—
436C23×C4—831no—
437C23×C4—831no—
438C23×C4—831no—
439C23×C4C22×D8311yescharacteristic
440C23×C4C22×D8311yescharacteristic
441#123—8316no—
442#123—8316no—
443#123—8316no—
444#123—8316no—
445#117—3324no—
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—838no—
469C2×C22⋊C4—832no—
470C2×C22⋊C4—832no—
471C2×C22⋊C4—832no—
472C2×C22⋊C4—832no—
473C2×C22⋊C4—832no—
474C2×C22⋊C4—832no—
475C2×C22⋊C4C4×D8318yescomplemented
476C2×C22⋊C4C22×D8312yes—
477C2×C22⋊C4C22×D8312yes—
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—42no—
519C22×C4—42no—
520C22×C4—3324no—
521C22×C4—3324no—
522C22×C4—3324no—
523C22×C4—33216no—
524C22×C4—3322no—
525C22×C4—3322no—
526C22×C4—3322no—
527C22×C4—3322no—
528C22×C4—834no—
529C22×C4—834no—
530C22×C4—834no—
531C22×C4—834no—
532C22×C4—834no—
533C22×C4—834no—
534C22×C4—834no—
535C22×C4—831no—
536C22×C4—831no—
537C22×C4—832no—
538C22×C4—831no—
539C22×C4—831no—
540C22×C4—834no—
541C22×C4—834no—
542C22×C4—1664no—
543C22×C4—1664no—
544C22×C4—1664no—
545C22×C4C2×C4×D8314yes—
546C22×C4C2×C4×D8314yes—
547C22×C4C23×D8314yes—
548C22×C4C23×D8314yes—
549C22×C4C23×D8312yes—
550C22×C4C23×D8312yes—
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—1664no—
578C22⋊C4—1664no—
579C22⋊C4C2×C4×D8318yes—
580C22⋊C4C2×C4×D8318yes—
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#1458183814yes—
611C23C24×D8311yescharacteristic
612D4—3328no—
613D4—3328no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—3324no—
625C2×C4—3324no—
626C2×C4—3324no—
627C2×C4—3324no—
628C2×C4—832no—
629C2×C4—832no—
630C2×C4—832no—
631C2×C4—832no—
632C2×C4—834no—
633C2×C4—6648no—
634C2×C4—1664no—
635C2×C4—1664no—
636C2×C4—1664no—
637C2×C4—1664no—
638C2×C4—1664no—
639C2×C4—1664no—
640C2×C4—1668no—
641C2×C4—1668no—
642C2×C4—1668no—
643C2×C4—1662no—
644C2×C4—1662no—
645C2×C4—1662no—
646C2×C4—1662no—
647C2×C4—1662no—
648C2×C4—1662no—
649C2×C4C22×C4×D8314yes—
650C2×C4C22×C4×D8314yes—
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#1912817514yes—
670C22C23×C4×D8311yescharacteristic
671C22C2×#1458183812yes—
672C22#1912853612yes—
673C22#1912853612yes—
674C4—24no—
675C4—24no—
676C4—44no—
677C4—44no—
678C4—3324no—
679C4—3324no—
680C4—1662no—
681C4—1662no—
682C4—1662no—
683C4—1662no—
684C4—1664no—
685C2—24no—
686C2—42no—
687C2—42no—
688C2—3324no—
689C2C2×#1912817511yescharacteristic
690C2#2492066111yescharacteristic
691C2#2492066111yescharacteristic
692C2#2492163114yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2312C2
socle, cosocleC23×C83C25
prime radicalC23×C22⋊D83C22
hypercenter#2312D83
hypocenterC83#34357
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2312

Complements

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

NH ≅ G/Ntype
2. #24910609C2semidirect
3. #24910593C2semidirect
4. #24910334C2semidirect
5. #24910330C2semidirect
6. #24910315C2semidirect
7. #24910309C2semidirect
8. #24910258C2semidirect
9. #24910246C2semidirect
10. #24910061C2semidirect
13. #24909841C2semidirect
14. #24909841C2semidirect
15. C83×#2312C2semidirect
18. C2×#14581776C4semidirect
33. #19127599C22semidirect
34. #19127597C22semidirect
35. #19127594C22semidirect
36. #19127594C22semidirect
37. #19127593C22semidirect
38. #19127592C22semidirect
39. #19127591C22semidirect
40. #19127590C22semidirect
41. #19127586C22semidirect
42. #19127586C22semidirect
43. #19127584C22semidirect
44. #19127584C22semidirect
47. #19127575C22semidirect
48. #19127572C22semidirect
53. #19127559C22semidirect
54. #19127559C22semidirect
55. #19127559C22semidirect
56. #19127559C22semidirect
60. C4⋊C4×Dic83C22semidirect
61. C4×C4⋊Dic83C22semidirect
62. C22⋊C4×Dic83C22semidirect
63. C22⋊C4×Dic83C22semidirect
64. C22⋊C4×Dic83C22semidirect
65. C22⋊C4×Dic83C22semidirect
66. C4×(C2×D83)⋊C4C22semidirect
68. #19127548C22semidirect
70. #388×C83C22semidirect
71. #388×C83C22semidirect
82. C23×Dic83C2×C4semidirect
91. #14581776C2×C4semidirect
92. #14581776C2×C4semidirect
93. #14581776C2×C4semidirect
94. #14581776C2×C4semidirect
98. C2×C4⋊Dic83C2×C4semidirect
99. C2×C4⋊Dic83C2×C4semidirect
140. C2×C22⋊C4×C83C2×C4semidirect
357. #2312D83semidirect
362. C83#34357semidirect
389. #388C2×D83semidirect
390. #388C2×D83semidirect
475. C2×C22⋊C4C4×D83semidirect

Maximal subgroups

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

subgroupindex
C22×#145817762
#249106092
#249105932
#249103342
#249103302
#249103152
#249103092
#249102582
#249102462
#249100612
#249100442
#249100392
#249098412
C83×#23122
#3435783