Finite Group Databasebeta

← #35565198

Subgroups — #35565198

Order 21248.

2742 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
1C22×#14581774C211yesmaximal, characteristic
2#24910597C214yesmaximal, complemented
3#24910456C214yesmaximal, complemented
4#24910338C212yesmaximal, complemented
5#24910315C212yesmaximal, complemented
6#24910308C212yesmaximal, complemented
7C22⋊C4×C22⋊D83C212yesmaximal
8#24910255C214yesmaximal, complemented
9#24910063C211yesmaximal, characteristic, complemented
10#24910061C211yesmaximal, characteristic, complemented
11C4×#14581774C214yesmaximal, complemented
12#24909844C211yesmaximal, characteristic, complemented
13#24909818C211yesmaximal, characteristic, complemented
14C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
15C83×#2273C211yesmaximal, characteristic, complemented
16C23×C22⋊D83C2211yescharacteristic
17C23×C4×D83C2211yescharacteristic
18C2×#14581774C4116yescomplemented
19C2×#14581774C2212yes—
20C2×#14581774C2212yes—
21C2×#14581774C2212yes—
22C2×#14581774C2212yes—
23C2×C4×C22⋊D83C2214yes—
24C2×#14581749C2212yescomplemented
25C2×#14581748C2212yes—
26C22×C4⋊Dic83C2211yescharacteristic
27C22×Dic83⋊C4C2211yescharacteristic
28C22×C22⋊Dic83C2211yescharacteristic
29C22×(C2×D83)⋊C4C2211yescharacteristic
30C2×C22⋊C4×D83C2212yes—
31C2×C42×D83C2212yescomplemented
32#19127601C2214yes—
33#19127599C2214yescomplemented
34#19127595C2214yescomplemented
35#19127594C2214yescomplemented
36#19127594C2214yescomplemented
37#19127593C2214yescomplemented
38#19127592C2214yescomplemented
39#19127589C2214yescomplemented
40#19127585C2214yescomplemented
41#19127584C2214yescomplemented
42#19127584C2214yescomplemented
43#19127583C2214yescomplemented
44#19127580C2214yes—
45#19127577C2214yes—
46#19127575C2214yescomplemented
47#19127574C2214yescomplemented
48#19127563C2212yescomplemented
49#19127562C2212yes—
50#19127561C2212yes—
51#19127560C2212yescomplemented
52#19127559C2212yes—
53#19127559C2212yes—
54#19127557C2212yes—
55#19127556C2212yes—
56C4×Dic83⋊C4C2214yescomplemented
57C4×C4⋊Dic83C2214yescomplemented
58#19127552C2214yescomplemented
59C22⋊C4×Dic83C2212yes—
60C22⋊C4×Dic83C2212yes—
61C4×(C2×D83)⋊C4C2212yescomplemented
62C4×(C2×D83)⋊C4C2214yescomplemented
63C4×(C2×D83)⋊C4C2212yescomplemented
64C4×C22⋊Dic83C2211yescharacteristic
65C4×C22⋊Dic83C2211yescharacteristic
66C4×C22⋊Dic83C2214yescomplemented
67#19127548C2212yescomplemented
68#95×D83C2212yescomplemented
69C22×C22⋊C4×C83C2212yes—
70C22×C22⋊C4×C83C2211yescharacteristic
71C4×C22⋊C4×C83C2212yes—
72C4×C22⋊C4×C83C2211yescharacteristic
73C4×C22⋊C4×C83C2211yescharacteristic
74C4×C22⋊C4×C83C2214yescomplemented
75C4×C22⋊C4×C83C2214yescomplemented
76C24×D83C2311yescharacteristic
77C22×C22⋊D83—44no—
78C22×C22⋊D83C2×C418yes—
79C22×C22⋊D83C2312yes—
80C22×C22⋊D83C2312yes—
81C23×Dic83C2311yescharacteristic
82C23×Dic83C2311yescharacteristic
83C23×Dic83C2311yescharacteristic
84C22×C4×D83—44no—
85C22×C4×D83C2×C418yescomplemented
86C22×C4×D83C2314yes—
87C22×C4×D83C2311yescharacteristic
88C22×C4×D83C2311yescharacteristic
89C22×C4×D83C2311yescharacteristic
90C22×C4×D83C2311yescharacteristic
91#14581774C2×C4116yescomplemented
92#14581774C2×C4116yescomplemented
93#14581774C2×C4116yescomplemented
94#14581774C2×C4116yescomplemented
95C4×C22⋊D83—48no—
96#14581749—44no—
97#14581748—28no—
98C2×C4⋊Dic83C2×C418yescomplemented
99C2×C4⋊Dic83C2314yes—
100C2×C4⋊Dic83C2312yes—
101C2×C4⋊Dic83C2312yes—
102C2×Dic83⋊C4C2×C418yescomplemented
103C2×Dic83⋊C4C2314yes—
104C2×Dic83⋊C4C2314yes—
105C2×Dic83⋊C4C2314yes—
106C2×Dic83⋊C4C2312yes—
107C2×Dic83⋊C4C2312yes—
108C2×C22⋊Dic83C2×C418yescomplemented
109C2×C22⋊Dic83C2312yes—
110C2×C22⋊Dic83C2312yes—
111C2×C22⋊Dic83C2314yes—
112C2×C22⋊Dic83C2314yes—
113C2×C22⋊Dic83C2312yes—
114C2×C22⋊Dic83C2312yes—
115C2×(C2×D83)⋊C4C2×C418yescomplemented
116C2×(C2×D83)⋊C4C2314yes—
117C2×(C2×D83)⋊C4C2314yes—
118C2×(C2×D83)⋊C4C2314yes—
119C2×(C2×D83)⋊C4C2312yes—
120C2×(C2×D83)⋊C4C2312yes—
121C22⋊C4×D83—28no—
122C2×C4×Dic83C2314yes—
123C2×C4×Dic83C2312yes—
124C2×C4×Dic83C2314yes—
125C2×C4×Dic83C2314yes—
126C2×C4×Dic83C2312yes—
127C42×D83—44no—
128C83⋊#95C2314yes—
129C83⋊#95C2314yes—
130C83⋊#95C2314yes—
131C83⋊#95C2312yes—
132C83⋊#95C2314yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C83⋊#95C2312yes—
137C25×C83C2311yescharacteristic
138C23×C4×C83C2314yes—
139C23×C4×C83C2311yescharacteristic
140C23×C4×C83C2311yescharacteristic
141C2×C22⋊C4×C83—28no—
142C2×C22⋊C4×C83C2×C418yescomplemented
143C2×C22⋊C4×C83C2312yes—
144C2×C22⋊C4×C83C2314yes—
145C2×C22⋊C4×C83C2312yes—
146C2×C22⋊C4×C83C2312yes—
147C2×C22⋊C4×C83C2312yes—
148C2×C42×C83C2314yes—
149C2×C42×C83C2312yes—
150C2×C42×C83C2312yes—
151#95×C83C2312yes—
152#95×C83C2312yes—
153#95×C83C2314yes—
154C23×D83—24no—
155C23×D83—24no—
156C23×D83—42no—
157C23×D83C22×C414yes—
158C23×D83C2411yescharacteristic
159C23×D83C2411yescharacteristic
160C2×C22⋊D83—28no—
161C2×C22⋊D83—44no—
162C2×C22⋊D83—416no—
163C2×C22⋊D83C22×C418yes—
164C2×C22⋊D83C22×C418yes—
165C22×Dic83—24no—
166C22×Dic83—42no—
167C22×Dic83—42no—
168C22×Dic83C22×C414yes—
169C22×Dic83C22×C414yes—
170C22×Dic83C22×C414yes—
171C22×Dic83C2414yes—
172C22×Dic83C2414yes—
173C22×Dic83C2411yescharacteristic
174C22×Dic83C2411yescharacteristic
175C22×Dic83C2412yes—
176C22×Dic83C2412yes—
177C2×C4×D83—24no—
178C2×C4×D83—24no—
179C2×C4×D83—28no—
180C2×C4×D83—28no—
181C2×C4×D83—416no—
182C2×C4×D83—42no—
183C2×C4×D83—42no—
184C2×C4×D83—44no—
185C2×C4×D83C22×C414yes—
186C2×C4×D83C22×C414yes—
187C2×C4×D83C22×C414yes—
188C2×C4×D83C22×C414yes—
189C4⋊Dic83—44no—
190C4⋊Dic83C22×C418yes—
191C4⋊Dic83C22×C418yes—
192Dic83⋊C4—28no—
193Dic83⋊C4—44no—
194Dic83⋊C4—44no—
195Dic83⋊C4C22×C418yes—
196Dic83⋊C4C22×C418yes—
197C22⋊Dic83—24no—
198C22⋊Dic83—24no—
199C22⋊Dic83—44no—
200C22⋊Dic83—44no—
201C22⋊Dic83C22×C418yes—
202C22⋊Dic83C22×C418yes—
203(C2×D83)⋊C4—28no—
204(C2×D83)⋊C4—28no—
205(C2×D83)⋊C4—44no—
206(C2×D83)⋊C4C22×C418yes—
207(C2×D83)⋊C4C22×C418yes—
208C4×Dic83—28no—
209C4×Dic83—44no—
210C4×Dic83—42no—
211C4×Dic83—42no—
212C4×Dic83—44no—
213C24×C83—24no—
214C24×C83—42no—
215C24×C83—42no—
216C24×C83C22×C414yes—
217C24×C83C2412yes—
218C24×C83C2411yescharacteristic
219C22×C4×C83—28no—
220C22×C4×C83—42no—
221C22×C4×C83—42no—
222C22×C4×C83—44no—
223C22×C4×C83—44no—
224C22×C4×C83C22×C414yes—
225C22×C4×C83C22×C414yes—
226C22×C4×C83C2414yes—
227C22×C4×C83C2411yescharacteristic
228C22×C4×C83C2411yescharacteristic
229C22×C4×C83C2412yes—
230C22×C4×C83C2414yes—
231C22⋊C4×C83—24no—
232C22⋊C4×C83—28no—
233C22⋊C4×C83C22×C418yes—
234C22⋊C4×C83C22×C418yes—
235C22⋊C4×C83#4118yes—
236C42×C83—44no—
237C42×C83—42no—
238C42×C83—42no—
239C23×C83—22no—
240C23×C83—22no—
241C23×C83—22no—
242C23×C83—22no—
243C23×C83—24no—
244C23×C83—24no—
245C23×C83—28no—
246C23×C83—44no—
247C23×C83—44no—
248C23×C83—88no—
249C23×C83C23×C414yes—
250C23×C83C23×C412yes—
251C23×C83C2×#4114yes—
252C23×C83C2511yescharacteristic
253C22×D83—22no—
254C22×D83—22no—
255C22×D83—28no—
256C22×D83—22no—
257C22×D83—22no—
258C22×D83—22no—
259C22×D83—28no—
260C22×D83—44no—
261C22×D83—416no—
262C22×D83C23×C412yes—
263C22×D83C23×C412yes—
264C22×D83H(5,𝔽2)14yes—
265C2×C4×C83—24no—
266C2×C4×C83—22no—
267C2×C4×C83—22no—
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×C83—88no—
276C2×C4×C83C23×C414yes—
277C2×C4×C83C23×C412yes—
278C2×C4×C83C23×C412yes—
279C2×C4×C83C2×#4118yes—
280C22⋊D83—216no—
281C22⋊D83—48no—
282C2×Dic83—28no—
283C2×Dic83—22no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—24no—
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×Dic83C23×C414yes—
297C2×Dic83C23×C412yes—
298C2×Dic83C23×C412yes—
299C2×Dic83C23×C414yes—
300C4×D83—28no—
301C4×D83—28no—
302C4×D83—44no—
303C4×D83—44no—
304C4×D83—416no—
305C22×C83—22no—
306C22×C83—22no—
307C22×C83—28no—
308C22×C83—24no—
309C22×C83—24no—
310C22×C83—24no—
311C22×C83—44no—
312C22×C83—44no—
313C22×C83—88no—
314C22×C83C4×#4114yes—
315C22×C83C24×C411yescharacteristic
316C22×C83C22×#4112yes—
317C22×C83C2×H(5,𝔽2)12yes—
318C22×C83#58512yes—
319C2×D83—22no—
320C2×D83—22no—
321C2×D83—28no—
322C2×D83—22no—
323C2×D83—22no—
324C2×D83—22no—
325C2×D83—416no—
326C2×D83—44no—
327C2×D83#51814yes—
328C4×C83—22no—
329C4×C83—22no—
330C4×C83—24no—
331C4×C83—28no—
332C4×C83—44no—
333Dic83—24no—
334Dic83—22no—
335Dic83—22no—
336Dic83—24no—
337Dic83—44no—
338Dic83—44no—
339#34238—831nomaximal, Sylow
340C2×C83—24no—
341C2×C83—44no—
342C2×C83C2×C4×#4111yescharacteristic
343C2×C83C2×#51811yescharacteristic
344C2×C83#342811yescharacteristic
345C2×C83#351314yes—
346D83—24no—
347D83—42no—
348C22×#123—831no—
349#2374—834no—
350#2359—834no—
351#2345—832no—
352#2342—832no—
353#2342—832no—
354D4×C22⋊C4—832no—
355#2335—834no—
356#2313—831no—
357#2312—831no—
358C4×#123—834no—
359#2280—831no—
360#2274—831no—
361#2273D8311yescharacteristic, complemented
362C2×C4×C22⋊C4—831no—
363C83#3423811yescharacteristic, complemented, Sylow
364C23×D4—831no—
365C24×C4—831no—
366C2×#123—8316no—
367C2×#123—832no—
368C2×#123—832no—
369C2×#123—832no—
370C2×#123—832no—
371C2×C4×D4—834no—
372C2×#117—832no—
373C2×#117—832no—
374C22×C4⋊C4—831no—
375C22×C4⋊C4—831no—
376C22×C22⋊C4—831no—
377C22×C22⋊C4—831no—
378C22×C22⋊C4—832no—
379C22×C22⋊C4C2×D8312yes—
380C22×C22⋊C4C2×D8311yescharacteristic
381C22×C42—832no—
382#390—834no—
383#389—834no—
384#388—834no—
385#388—834no—
386#388—834no—
387#388—834no—
388#388—834no—
389#388—834no—
390#387—834no—
391#387—834no—
392#387—834no—
393#387—834no—
394#386—834no—
395#386—834no—
396#385—834no—
397#385—834no—
398#381—832no—
399#381—832no—
400#380—832no—
401#380—832no—
402#380—832no—
403#380—832no—
404#379—832no—
405#379—832no—
406C4×C4⋊C4—834no—
407C4×C4⋊C4—834no—
408C4×C4⋊C4—834no—
409C4×C22⋊C4—831no—
410C4×C22⋊C4—831no—
411C4×C22⋊C4—834no—
412C4×C22⋊C4—832no—
413C4×C22⋊C4—832no—
414C4×C22⋊C4—832no—
415C4×C22⋊C4—834no—
416C4×C22⋊C4—832no—
417C4×C22⋊C4—832no—
418C4×C22⋊C4C2×D8311yescharacteristic
419C4×C22⋊C4C2×D8312yes—
420C4×C22⋊C4C2×D8311yescharacteristic
421C4×C22⋊C4C2×D8314yescomplemented
422C4×C22⋊C4C2×D8314yescomplemented
423C2×#95—832no—
424C25—831no—
425C25C22×D8311yescharacteristic
426C22×D4—3324no—
427C22×D4—838no—
428C22×D4—832no—
429C22×D4—832no—
430C23×C4—3324no—
431C23×C4—831no—
432C23×C4—831no—
433C23×C4—838no—
434C23×C4—831no—
435C23×C4—831no—
436C23×C4—834no—
437C23×C4—831no—
438C23×C4—831no—
439C23×C4—831no—
440C23×C4C22×D8314yes—
441C23×C4C22×D8311yescharacteristic
442C23×C4C22×D8311yescharacteristic
443#123—8316no—
444#123—8316no—
445#123—8316no—
446#123—8316no—
447C4×D4—3328no—
448#117—3324no—
449#117—1668no—
450C2×C4⋊C4—834no—
451C2×C4⋊C4—834no—
452C2×C4⋊C4—834no—
453C2×C4⋊C4—838no—
454C2×C4⋊C4—838no—
455C2×C4⋊C4—832no—
456C2×C4⋊C4—832no—
457C2×C4⋊C4—832no—
458C2×C4⋊C4—832no—
459C2×C4⋊C4—834no—
460C2×C22⋊C4—28no—
461C2×C22⋊C4—834no—
462C2×C22⋊C4—834no—
463C2×C22⋊C4—834no—
464C2×C22⋊C4—838no—
465C2×C22⋊C4—832no—
466C2×C22⋊C4—832no—
467C2×C22⋊C4—838no—
468C2×C22⋊C4—832no—
469C2×C22⋊C4—832no—
470C2×C22⋊C4—832no—
471C2×C22⋊C4—832no—
472C2×C22⋊C4—834no—
473C2×C22⋊C4—834no—
474C2×C22⋊C4—1668no—
475C2×C22⋊C4C4×D8318yescomplemented
476C2×C22⋊C4C22×D8312yes—
477C2×C22⋊C4C22×D8314yes—
478C2×C22⋊C4C22×D8312yes—
479C2×C22⋊C4C22×D8312yes—
480C2×C22⋊C4C22×D8312yes—
481C2×C42—3324no—
482C2×C42—832no—
483C2×C42—834no—
484C2×C42—834no—
485C2×C42—832no—
486C2×C42—834no—
487C2×C42C22×D8312yes—
488C2×C42C22×D8312yes—
489C2×C42C22×D8314yes—
490#95—834no—
491#95—832no—
492#95—834no—
493#95—832no—
494#95—834no—
495#95—834no—
496#95—834no—
497#95—834no—
498#95—834no—
499#95C22×D8312yes—
500#95C22×D8312yes—
501#95C22×D8314yes—
502C24—24no—
503C24—42no—
504C24—42no—
505C24—3322no—
506C24—834no—
507C24—831no—
508C24—831no—
509C24—1664no—
510C24—1664no—
511C24C2×C4×D8314yes—
512C24C23×D8312yes—
513C24C23×D8311yescharacteristic
514C2×D4—33216no—
515C2×D4—3324no—
516C2×D4—838no—
517C2×D4—838no—
518C2×D4—1668no—
519C22×C4—28no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—3322no—
525C22×C4—3322no—
526C22×C4—3324no—
527C22×C4—33216no—
528C22×C4—3322no—
529C22×C4—3322no—
530C22×C4—834no—
531C22×C4—834no—
532C22×C4—834no—
533C22×C4—834no—
534C22×C4—834no—
535C22×C4—831no—
536C22×C4—832no—
537C22×C4—832no—
538C22×C4—831no—
539C22×C4—834no—
540C22×C4—834no—
541C22×C4—834no—
542C22×C4—834no—
543C22×C4—1668no—
544C22×C4—1664no—
545C22×C4—1664no—
546C22×C4—1668no—
547C22×C4—1664no—
548C22×C4C2×C4×D8314yes—
549C22×C4C2×C4×D8314yes—
550C22×C4C23×D8314yes—
551C22×C4C23×D8311yescharacteristic
552C22×C4C23×D8311yescharacteristic
553C22×C4C23×D8312yes—
554C22×C4C23×D8314yes—
555C4⋊C4—3324no—
556C4⋊C4—3324no—
557C4⋊C4—3324no—
558C4⋊C4—838no—
559C4⋊C4—838no—
560C4⋊C4—838no—
561C4⋊C4—838no—
562C4⋊C4—1668no—
563C22⋊C4—24no—
564C22⋊C4—28no—
565C22⋊C4—3324no—
566C22⋊C4—3324no—
567C22⋊C4—3324no—
568C22⋊C4—838no—
569C22⋊C4—838no—
570C22⋊C4—838no—
571C22⋊C4—838no—
572C22⋊C4—1668no—
573C22⋊C4—1664no—
574C22⋊C4—1664no—
575C22⋊C4—1668no—
576C22⋊C4C2×C4×D8318yes—
577C22⋊C4C2×C4×D8318yes—
578C22⋊C4#1305059018yes—
579C42—42no—
580C42—42no—
581C42—44no—
582C42—3324no—
583C42—3322no—
584C42—3322no—
585C42—3324no—
586C42—1668no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—28no—
594C23—44no—
595C23—44no—
596C23—88no—
597C23—33216no—
598C23—3324no—
599C23—832no—
600C23—834no—
601C23—832no—
602C23—1668no—
603C23—1668no—
604C23—1662no—
605C23—1662no—
606C23—1662no—
607C23—1662no—
608C23—1662no—
609C23C22×C4×D8314yes—
610C23C22×C4×D8312yes—
611C23C2×#1305059014yes—
612C23C24×D8311yescharacteristic
613D4—3328no—
614D4—16616no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—88no—
626C2×C4—33216no—
627C2×C4—3324no—
628C2×C4—3324no—
629C2×C4—3324no—
630C2×C4—3324no—
631C2×C4—834no—
632C2×C4—832no—
633C2×C4—832no—
634C2×C4—834no—
635C2×C4—1668no—
636C2×C4—1668no—
637C2×C4—1664no—
638C2×C4—1664no—
639C2×C4—1664no—
640C2×C4—1664no—
641C2×C4—1664no—
642C2×C4—1664no—
643C2×C4—1668no—
644C2×C4—1662no—
645C2×C4—1662no—
646C2×C4—1662no—
647C2×C4—1664no—
648C2×C4—1662no—
649C2×C4C22×C4×D8314yes—
650C2×C4C22×C4×D8312yes—
651C2×C4C22×C4×D8312yes—
652C2×C4C2×#1305059018yes—
653C22—28no—
654C22—22no—
655C22—22no—
656C22—24no—
657C22—24no—
658C22—24no—
659C22—44no—
660C22—44no—
661C22—88no—
662C22—33216no—
663C22—3324no—
664C22—834no—
665C22—1662no—
666C22—1662no—
667C22—1662no—
668C22—1668no—
669C22—1662no—
670C22—1662no—
671C22C4×#1305059014yes—
672C22C23×C4×D8311yescharacteristic
673C22C22×#1305059012yes—
674C22H(5,𝔽2)×D8312yes—
675C22#1912853612yes—
676C4—28no—
677C4—22no—
678C4—22no—
679C4—24no—
680C4—44no—
681C4—3324no—
682C4—3324no—
683C4—1664no—
684C4—1662no—
685C4—1662no—
686C4—1664no—
687C2—24no—
688C2—44no—
689C2—3322no—
690C2—1664no—
691C2C2×C4×#1305059011yescharacteristic
692C2#518×D8311yescharacteristic
693C2#2492066111yescharacteristic
694C2#2492139114yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2273C2
socle, cosocleC23×C83C25
prime radicalC23×C22⋊D83C22
hypercenter#2273D83
hypocenterC83#34238
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2273

Complements

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

NH ≅ G/Ntype
2. #24910597C2semidirect
3. #24910456C2semidirect
4. #24910338C2semidirect
5. #24910315C2semidirect
6. #24910308C2semidirect
8. #24910255C2semidirect
9. #24910063C2semidirect
10. #24910061C2semidirect
11. C4×#14581774C2semidirect
12. #24909844C2semidirect
13. #24909818C2semidirect
14. C4×C22⋊C4×D83C2semidirect
15. C83×#2273C2semidirect
18. C2×#14581774C4semidirect
24. C2×#14581749C22semidirect
31. C2×C42×D83C22semidirect
33. #19127599C22semidirect
34. #19127595C22semidirect
35. #19127594C22semidirect
36. #19127594C22semidirect
37. #19127593C22semidirect
38. #19127592C22semidirect
39. #19127589C22semidirect
40. #19127585C22semidirect
41. #19127584C22semidirect
42. #19127584C22semidirect
43. #19127583C22semidirect
46. #19127575C22semidirect
47. #19127574C22semidirect
48. #19127563C22semidirect
51. #19127560C22semidirect
56. C4×Dic83⋊C4C22semidirect
57. C4×C4⋊Dic83C22semidirect
58. #19127552C22semidirect
61. C4×(C2×D83)⋊C4C22semidirect
62. C4×(C2×D83)⋊C4C22semidirect
63. C4×(C2×D83)⋊C4C22semidirect
66. C4×C22⋊Dic83C22semidirect
67. #19127548C22semidirect
68. #95×D83C22semidirect
74. C4×C22⋊C4×C83C22semidirect
75. C4×C22⋊C4×C83C22semidirect
85. C22×C4×D83C2×C4semidirect
91. #14581774C2×C4semidirect
92. #14581774C2×C4semidirect
93. #14581774C2×C4semidirect
94. #14581774C2×C4semidirect
98. C2×C4⋊Dic83C2×C4semidirect
102. C2×Dic83⋊C4C2×C4semidirect
108. C2×C22⋊Dic83C2×C4semidirect
115. C2×(C2×D83)⋊C4C2×C4semidirect
142. C2×C22⋊C4×C83C2×C4semidirect
361. #2273D83semidirect
363. C83#34238semidirect
421. C4×C22⋊C4C2×D83semidirect
422. C4×C22⋊C4C2×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×#145817742
#249105972
#249104562
#249103382
#249103152
#249103082
C22⋊C4×C22⋊D832
#249102552
#249100632
#249100612
C4×#145817742
#249098442
#249098182
C4×C22⋊C4×D832
C83×#22732
#3423883