Finite Group Databasebeta

← #35611405

Subgroups — #35611405

Order 21248.

2450 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128326C211yesmaximal, characteristic, complemented
2C22×#14581775C211yesmaximal, characteristic
3#24915750C211yesmaximal, characteristic, complemented
4#24913887C214yesmaximal, complemented
5#24913885C214yesmaximal, complemented
6#24913805C214yesmaximal, complemented
7#24913802C214yesmaximal, complemented
8#24913279C211yesmaximal, characteristic, complemented
9#24913278C211yesmaximal, characteristic, complemented
10#24912618C212yesmaximal, complemented
11#24911939C212yesmaximal, complemented
12#24911743C212yesmaximal, complemented
13#24910788C212yesmaximal
14#24910060C211yesmaximal, characteristic, complemented
15C83×#2848C211yesmaximal, characteristic, complemented
16C23×C22⋊D83C2211yescharacteristic
17#19128326—28no—
18C2×#14581775—28no—
19C2×#14581775C2214yes—
20C2×#14581775C2214yes—
21C2×#14581774C2214yes—
22C2×#14581772C2212yescomplemented
23C2×#14581771C2211yescharacteristic
24C2×#14581771C2212yescomplemented
25C2×#14581770C2212yescomplemented
26C2×#14581770C2212yescomplemented
27C2×#14581769C2212yes—
28C2×#14581768C2212yescomplemented
29C22×Dic83⋊C4C2211yescharacteristic
30C22×Dic83⋊C4C2211yescharacteristic
31C22×C22⋊Dic83C2211yescharacteristic
32C22×(C2×D83)⋊C4C2211yescharacteristic
33C22×(C2×D83)⋊C4C2211yescharacteristic
34C2×C22⋊C4×D83C2212yes—
35#19127641C2212yescomplemented
36#19127639C2212yescomplemented
37#19127635C2214yescomplemented
38#19127634C2214yescomplemented
39#19127634C2214yescomplemented
40#19127631C2214yescomplemented
41#19127630C2214yescomplemented
42#19127629C2214yescomplemented
43#19127627C2214yescomplemented
44#19127622C2212yescomplemented
45#19127620C2212yescomplemented
46#19127617C2214yes—
47#19127616C2214yes—
48#19127613C2214yescomplemented
49#19127605C2214yescomplemented
50#19127594C2214yescomplemented
51#19127593C2214yescomplemented
52#19127591C2214yescomplemented
53#19127589C2214yescomplemented
54#19127577C2214yes—
55#19127576C2212yes—
56#19127574C2212yes—
57#19127574C2214yescomplemented
58#19127573C2212yes—
59#19127572C2214yescomplemented
60#19127570C2214yescomplemented
61#19127563C2214yescomplemented
62#19127562C2212yes—
63#19127562C2212yes—
64#19127561C2211yescharacteristic
65#19127561C2212yescomplemented
66#19127557C2212yes—
67#19127556C2212yes—
68C22⋊C4×Dic83C2212yes—
69C24×C4×C83C2211yescharacteristic
70C2×C22⋊Q8×C83C2211yescharacteristic
71C2×C22⋊Q8×C83C2212yescomplemented
72#385×C83C2212yes—
73#385×C83C2214yescomplemented
74#380×C83C2211yescharacteristic
75#380×C83C2212yescomplemented
76#379×C83C2212yes—
77C24×D83C2311yescharacteristic
78C22×Dic166C2312yes—
79C22×Dic166C2311yescharacteristic
80C22×C22⋊D83—24no—
81C22×C22⋊D83—44no—
82C22×C22⋊D83C2314yes—
83C23×Dic83C2311yescharacteristic
84C23×Dic83C2311yescharacteristic
85C23×Dic83C2311yescharacteristic
86C22×C4×D83C2312yes—
87C22×C4×D83C2312yes—
88#14581775—216no—
89#14581775—216no—
90#14581774—48no—
91#14581772—28no—
92#14581771—24no—
93#14581771—44no—
94#14581770—28no—
95#14581770—28no—
96#14581769—28no—
97#14581768—28no—
98C2×C4⋊Dic83C2311yescharacteristic
99C2×C4⋊Dic83C2312yes—
100C2×C4⋊Dic83C2312yes—
101C2×C4⋊Dic83C2314yes—
102C2×Dic83⋊C4—24no—
103C2×Dic83⋊C4—24no—
104C2×Dic83⋊C4C2312yes—
105C2×Dic83⋊C4C2314yes—
106C2×Dic83⋊C4C2312yes—
107C2×Dic83⋊C4C2312yes—
108C2×Dic83⋊C4C2312yes—
109C2×Dic83⋊C4C2312yes—
110C2×Dic83⋊C4C2314yes—
111C2×Dic83⋊C4C2314yes—
112C2×C22⋊Dic83—24no—
113C2×C22⋊Dic83C2312yes—
114C2×C22⋊Dic83C2312yes—
115C2×C22⋊Dic83C2314yes—
116C2×C22⋊Dic83C2314yes—
117C2×C22⋊Dic83C2314yes—
118C2×(C2×D83)⋊C4—24no—
119C2×(C2×D83)⋊C4D418yes—
120C2×(C2×D83)⋊C4C2314yes—
121C2×(C2×D83)⋊C4C2312yes—
122C2×(C2×D83)⋊C4C2312yes—
123C2×(C2×D83)⋊C4C2314yes—
124C2×(C2×D83)⋊C4C2314yes—
125C2×(C2×D83)⋊C4C2312yes—
126C2×(C2×D83)⋊C4C2312yes—
127C22⋊C4×D83—28no—
128C2×C4×Dic83C2314yes—
129C83⋊#95C2312yes—
130C83⋊#95C2314yes—
131C83⋊#95C2314yes—
132C83⋊#95C2314yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C83⋊#95C2314yes—
137C83⋊#95C2314yes—
138C25×C83C2311yescharacteristic
139C22×Q8×C83C2311yescharacteristic
140C23×C4×C83—24no—
141C23×C4×C83—44no—
142C23×C4×C83C2312yes—
143C23×C4×C83C2312yes—
144C23×C4×C83C2311yescharacteristic
145C23×C4×C83C2311yescharacteristic
146C22⋊Q8×C83—24no—
147C22⋊Q8×C83—44no—
148C2×C4⋊C4×C83C2312yes—
149C2×C4⋊C4×C83C2311yescharacteristic
150C2×C4⋊C4×C83C2314yes—
151C2×C4⋊C4×C83C2312yes—
152C2×C22⋊C4×C83C2312yes—
153C2×C22⋊C4×C83C2312yes—
154C2×C22⋊C4×C83C2314yes—
155C2×C22⋊C4×C83C2314yes—
156#95×C83C2314yes—
157#95×C83C2312yes—
158C23×D83—22no—
159C23×D83—22no—
160C23×D83—42no—
161C23×D83—42no—
162C23×D83C2×D414yes—
163C23×D83C2412yes—
164C2×Dic166—22no—
165C2×Dic166—24no—
166C2×Dic166—42no—
167C2×Dic166—44no—
168C2×C22⋊D83—28no—
169C2×C22⋊D83—28no—
170C2×C22⋊D83—44no—
171C2×C22⋊D83—416no—
172C22×Dic83—22no—
173C22×Dic83—22no—
174C22×Dic83—22no—
175C22×Dic83—22no—
176C22×Dic83—42no—
177C22×Dic83—42no—
178C22×Dic83C2×D414yes—
179C22×Dic83C2412yes—
180C22×Dic83C2412yes—
181C22×Dic83C2412yes—
182C22×Dic83C2412yes—
183C22×Dic83C2414yes—
184C22×Dic83C2412yes—
185C2×C4×D83—24no—
186C2×C4×D83—24no—
187C2×C4×D83—44no—
188C2×C4×D83—44no—
189C4⋊Dic83—22no—
190C4⋊Dic83—24no—
191C4⋊Dic83—42no—
192C4⋊Dic83—44no—
193Dic83⋊C4—24no—
194Dic83⋊C4—24no—
195Dic83⋊C4—24no—
196Dic83⋊C4—24no—
197Dic83⋊C4—24no—
198Dic83⋊C4—28no—
199Dic83⋊C4—44no—
200Dic83⋊C4—44no—
201C22⋊Dic83—24no—
202C22⋊Dic83—28no—
203C22⋊Dic83—24no—
204C22⋊Dic83—28no—
205C22⋊Dic83—44no—
206(C2×D83)⋊C4—24no—
207(C2×D83)⋊C4—24no—
208(C2×D83)⋊C4—28no—
209(C2×D83)⋊C4—44no—
210(C2×D83)⋊C4—44no—
211(C2×D83)⋊C4C2×D418yes—
212(C2×D83)⋊C4C2×D418yes—
213C4×Dic83—44no—
214C24×C83—22no—
215C24×C83—24no—
216C24×C83—22no—
217C24×C83—22no—
218C24×C83—42no—
219C24×C83C2412yes—
220C24×C83C2411yescharacteristic
221C2×Q8×C83—22no—
222C2×Q8×C83—42no—
223C22×C4×C83—22no—
224C22×C4×C83—24no—
225C22×C4×C83—24no—
226C22×C4×C83—24no—
227C22×C4×C83—24no—
228C22×C4×C83—42no—
229C22×C4×C83—42no—
230C22×C4×C83—42no—
231C22×C4×C83—42no—
232C22×C4×C83—416no—
233C22×C4×C83C2×D414yes—
234C22×C4×C83C2412yes—
235C22×C4×C83C2412yes—
236C22×C4×C83C2414yes—
237C22×C4×C83C2412yes—
238C22×C4×C83C2411yescharacteristic
239C22×C4×C83C2411yescharacteristic
240C4⋊C4×C83—22no—
241C4⋊C4×C83—24no—
242C4⋊C4×C83—42no—
243C4⋊C4×C83—44no—
244C22⋊C4×C83—24no—
245C22⋊C4×C83—28no—
246C22⋊C4×C83—24no—
247C22⋊C4×C83—44no—
248C23×C83—22no—
249C23×C83—22no—
250C23×C83—28no—
251C23×C83—22no—
252C23×C83—22no—
253C23×C83—22no—
254C23×C83—22no—
255C23×C83—22no—
256C23×C83—22no—
257C23×C83—48no—
258C23×C83—48no—
259C23×C83—44no—
260C23×C83—44no—
261C23×C83C22×D412yes—
262C23×C83H(5,𝔽2)14yes—
263C23×C832−1+412yes—
264C23×C832−1+412yes—
265C23×C83C2511yescharacteristic
266C22×D83—24no—
267C22×D83—22no—
268C22×D83—22no—
269C22×D83—24no—
270C22×D83—28no—
271C22×D83—44no—
272C22×D83—44no—
273C22×D83—84no—
274C22×D83—84no—
275C22×D83C22×D414yes—
276Q8×C83—82no—
277C2×C4×C83—22no—
278C2×C4×C83—22no—
279C2×C4×C83—22no—
280C2×C4×C83—22no—
281C2×C4×C83—22no—
282C2×C4×C83—24no—
283C2×C4×C83—24no—
284C2×C4×C83—22no—
285C2×C4×C83—22no—
286C2×C4×C83—24no—
287C2×C4×C83—24no—
288C2×C4×C83—24no—
289C2×C4×C83—44no—
290C2×C4×C83—48no—
291C2×C4×C83—48no—
292C2×C4×C83—44no—
293C2×C4×C83C22×D412yes—
294C2×C4×C83C22×D412yes—
295C22⋊D83—416no—
296C2×Dic83—24no—
297C2×Dic83—22no—
298C2×Dic83—22no—
299C2×Dic83—22no—
300C2×Dic83—22no—
301C2×Dic83—24no—
302C2×Dic83—24no—
303C2×Dic83—24no—
304C2×Dic83—24no—
305C2×Dic83—22no—
306C2×Dic83—22no—
307C2×Dic83—24no—
308C2×Dic83—24no—
309C2×Dic83—44no—
310C2×Dic83—44no—
311C2×Dic83—44no—
312C2×Dic83C22×D414yes—
313C4×D83—84no—
314C4×D83—84no—
315Dic166—84no—
316Dic166—82no—
317C22×C83—22no—
318C22×C83—22no—
319C22×C83—24no—
320C22×C83—24no—
321C22×C83—24no—
322C22×C83—24no—
323C22×C83—24no—
324C22×C83—416no—
325C22×C83—42no—
326C22×C83—42no—
327C22×C83—42no—
328C22×C83—42no—
329C22×C83#53614yes—
330C22×C83C23×D411yescharacteristic
331C22×C83C2×H(5,𝔽2)12yes—
332C22×C83C2×2−1+411yescharacteristic
333C22×C83C2×2−1+411yescharacteristic
334C22×C83#58512yes—
335C2×D83—24no—
336C2×D83—24no—
337C2×D83—24no—
338C2×D83—44no—
339C2×D83—44no—
340C2×D83—88no—
341C4×C83—22no—
342C4×C83—22no—
343C4×C83—42no—
344C4×C83—42no—
345C4×C83—42no—
346C4×C83—44no—
347Dic83—24no—
348Dic83—42no—
349Dic83—42no—
350Dic83—42no—
351Dic83—42no—
352Dic83—44no—
353#36720—831nomaximal, Sylow
354C2×C83—24no—
355C2×C83—44no—
356C2×C83C2×#53611yescharacteristic
357C2×C83#348411yescharacteristic
358C2×C83#348511yescharacteristic
359C2×C83#353512yes—
360C2×C83#353512yes—
361D83—44no—
362C2×#543—831no—
363C22×#123—831no—
364#2848—831no—
365#2848D8311yescharacteristic, complemented
366#2687—834no—
367#2687—834no—
368#2680—834no—
369#2680—834no—
370#2627—831no—
371#2627—831no—
372#2561—832no—
373#2502—832no—
374#2483—832no—
375#2405—832no—
376#2312—831no—
377C83#3672011yescharacteristic, complemented, Sylow
378C23×D4—831no—
379C24×C4C2×D8311yescharacteristic
380#543—1668no—
381C2×#123—834no—
382C2×#123—834no—
383C2×#123—834no—
384C2×#123—1668no—
385C2×C22⋊Q8—832no—
386C2×C22⋊Q8—832no—
387C2×C22⋊Q8—831no—
388C2×C22⋊Q8—832no—
389C2×C22⋊Q8—832no—
390C2×C22⋊Q8—832no—
391C2×C22⋊Q8—832no—
392C2×C22⋊Q8C2×D8311yescharacteristic
393C2×C22⋊Q8C2×D8312yescomplemented
394C22×C4⋊C4—831no—
395C22×C4⋊C4—831no—
396C22×C22⋊C4—831no—
397C22×C22⋊C4—831no—
398C22×C22⋊C4—831no—
399C22×C22⋊C4—832no—
400#400—832no—
401#400—832no—
402#398—834no—
403#398—834no—
404#398—834no—
405#398—834no—
406#397—834no—
407#397—834no—
408#397—834no—
409#395—832no—
410#395—832no—
411#394—834no—
412#394—834no—
413#393—834no—
414#391—834no—
415#388—834no—
416#388—834no—
417#388—834no—
418#388—834no—
419#386—834no—
420#385—832no—
421#385—834no—
422#385—834no—
423#385—832no—
424#385—832no—
425#385C2×D8312yes—
426#385C2×D8314yescomplemented
427#384—834no—
428#381—832no—
429#381—832no—
430#381—834no—
431#380—831no—
432#380—832no—
433#380C2×D8311yescharacteristic
434#380C2×D8312yescomplemented
435#379—832no—
436#379—832no—
437#379C2×D8312yes—
438C4×C22⋊C4—832no—
439C25—831no—
440C25C22×D8311yescharacteristic
441C22×Q8—831no—
442C22×Q8—832no—
443C22×Q8C22×D8311yescharacteristic
444C22×D4—3324no—
445C22×D4—834no—
446C22×D4—1664no—
447C23×C4—24no—
448C23×C4—44no—
449C23×C4—831no—
450C23×C4—831no—
451C23×C4—832no—
452C23×C4—832no—
453C23×C4—831no—
454C23×C4C22×D8312yes—
455C23×C4C22×D8312yes—
456C23×C4C22×D8311yescharacteristic
457C23×C4C22×D8311yescharacteristic
458#123—3328no—
459#123—16616no—
460#123—16616no—
461C22⋊Q8—24no—
462C22⋊Q8—44no—
463C22⋊Q8—3324no—
464C22⋊Q8—1668no—
465C22⋊Q8—1668no—
466C22⋊Q8—1668no—
467C22⋊Q8—1668no—
468C22⋊Q8—1668no—
469C22⋊Q8—1664no—
470C2×C4⋊C4—832no—
471C2×C4⋊C4—834no—
472C2×C4⋊C4—834no—
473C2×C4⋊C4—834no—
474C2×C4⋊C4—834no—
475C2×C4⋊C4—832no—
476C2×C4⋊C4—832no—
477C2×C4⋊C4—831no—
478C2×C4⋊C4—832no—
479C2×C4⋊C4—832no—
480C2×C4⋊C4—832no—
481C2×C4⋊C4—832no—
482C2×C4⋊C4—1664no—
483C2×C4⋊C4—1664no—
484C2×C4⋊C4C22×D8311yescharacteristic
485C2×C4⋊C4C22×D8312yes—
486C2×C4⋊C4C22×D8312yes—
487C2×C4⋊C4C22×D8314yes—
488C2×C22⋊C4—834no—
489C2×C22⋊C4—834no—
490C2×C22⋊C4—834no—
491C2×C22⋊C4—838no—
492C2×C22⋊C4—832no—
493C2×C22⋊C4—832no—
494C2×C22⋊C4—832no—
495C2×C22⋊C4—834no—
496C2×C22⋊C4—834no—
497C2×C22⋊C4—832no—
498C2×C22⋊C4—832no—
499C2×C22⋊C4—832no—
500C2×C22⋊C4—834no—
501C2×C22⋊C4—1668no—
502C2×C22⋊C4—1664no—
503C2×C22⋊C4—1664no—
504C2×C22⋊C4C22×D8312yes—
505C2×C22⋊C4C22×D8314yes—
506C2×C22⋊C4C22×D8312yes—
507C2×C22⋊C4C22×D8314yes—
508C2×C42—834no—
509#95—834no—
510#95—834no—
511#95—832no—
512#95—834no—
513#95—834no—
514#95—834no—
515#95—834no—
516#95—834no—
517#95—834no—
518#95C22×D8312yes—
519#95C22×D8314yes—
520C24—22no—
521C24—24no—
522C24—22no—
523C24—22no—
524C24—42no—
525C24—3322no—
526C24—3322no—
527C24—834no—
528C24—832no—
529C24—1662no—
530C24—1662no—
531C24C23×D8312yes—
532C24C23×D8311yescharacteristic
533C2×Q8—22no—
534C2×Q8—42no—
535C2×Q8—3322no—
536C2×Q8—3324no—
537C2×Q8—1664no—
538C2×Q8—1662no—
539C2×D4—33216no—
540C2×D4—3324no—
541C2×D4—1668no—
542C2×D4—1668no—
543C22×C4—22no—
544C22×C4—24no—
545C22×C4—24no—
546C22×C4—24no—
547C22×C4—24no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—416no—
553C22×C4—3324no—
554C22×C4—3324no—
555C22×C4—3322no—
556C22×C4—3322no—
557C22×C4—834no—
558C22×C4—832no—
559C22×C4—832no—
560C22×C4—834no—
561C22×C4—832no—
562C22×C4—832no—
563C22×C4—832no—
564C22×C4—1664no—
565C22×C4—1664no—
566C22×C4—1662no—
567C22×C4—1662no—
568C22×C4—1662no—
569C22×C4—1662no—
570C22×C4D4×D8314yes—
571C22×C4C23×D8314yes—
572C22×C4C23×D8312yes—
573C22×C4C23×D8312yes—
574C22×C4C23×D8312yes—
575C22×C4C23×D8311yescharacteristic
576C22×C4C23×D8311yescharacteristic
577C4⋊C4—22no—
578C4⋊C4—24no—
579C4⋊C4—42no—
580C4⋊C4—44no—
581C4⋊C4—3324no—
582C4⋊C4—3322no—
583C4⋊C4—3324no—
584C4⋊C4—3324no—
585C4⋊C4—1668no—
586C4⋊C4—1664no—
587C4⋊C4—1664no—
588C4⋊C4—1664no—
589C4⋊C4—1664no—
590C4⋊C4—1664no—
591C4⋊C4—1664no—
592C4⋊C4—1662no—
593C22⋊C4—24no—
594C22⋊C4—28no—
595C22⋊C4—24no—
596C22⋊C4—44no—
597C22⋊C4—3324no—
598C22⋊C4—3324no—
599C22⋊C4—3324no—
600C22⋊C4—838no—
601C22⋊C4—838no—
602C22⋊C4—1664no—
603C22⋊C4—1664no—
604C22⋊C4—1668no—
605C22⋊C4—1668no—
606C22⋊C4—1664no—
607C22⋊C4—1668no—
608C22⋊C4—1664no—
609C42—3324no—
610C23—22no—
611C23—22no—
612C23—28no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—48no—
620C23—48no—
621C23—44no—
622C23—44no—
623C23—3324no—
624C23—3324no—
625C23—834no—
626C23—6644no—
627C23—6644no—
628C23—1664no—
629C23—1662no—
630C23—1662no—
631C23—1664no—
632C23—1668no—
633C23C2×D4×D8312yes—
634C23#1458183714yes—
635C23#1458183912yes—
636C23#1458184012yes—
637C23C24×D8311yescharacteristic
638Q8—82no—
639Q8—6642no—
640Q8—6644no—
641D4—33216no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—44no—
655C2×C4—48no—
656C2×C4—48no—
657C2×C4—44no—
658C2×C4—3324no—
659C2×C4—3324no—
660C2×C4—3324no—
661C2×C4—834no—
662C2×C4—6644no—
663C2×C4—6644no—
664C2×C4—1662no—
665C2×C4—1662no—
666C2×C4—1662no—
667C2×C4—1662no—
668C2×C4—1664no—
669C2×C4—1664no—
670C2×C4—1664no—
671C2×C4—1662no—
672C2×C4—1664no—
673C2×C4—1662no—
674C2×C4—1664no—
675C2×C4—1664no—
676C2×C4—1664no—
677C2×C4C2×D4×D8312yes—
678C2×C4C2×D4×D8312yes—
679C22—22no—
680C22—22no—
681C22—24no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—24no—
686C22—416no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—3324no—
692C22—3324no—
693C22—6648no—
694C22—1664no—
695C22—1664no—
696C22—1664no—
697C22#1912827414yes—
698C22C22×D4×D8311yescharacteristic
699C22C2×#1458183712yes—
700C22C2×#1458183911yescharacteristic
701C22C2×#1458184011yescharacteristic
702C22#1912853712yes—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—42no—
707C4—42no—
708C4—44no—
709C4—3322no—
710C4—3322no—
711C4—3322no—
712C4—3324no—
713C4—3322no—
714C4—1664no—
715C2—24no—
716C2—44no—
717C2—3324no—
718C2C2×#1912827411yescharacteristic
719C2#2492109211yescharacteristic
720C2#2492110511yescharacteristic
721C2#2492166612yes—
722C2#2492167212yes—
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2848C2
prime radicalC23×C22⋊D83C22
hypercenter#2848D83
hypocenterC83#36720
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C2×#19128326C2semidirect
3. #24915750C2semidirect
4. #24913887C2semidirect
5. #24913885C2semidirect
6. #24913805C2semidirect
7. #24913802C2semidirect
8. #24913279C2semidirect
9. #24913278C2semidirect
10. #24912618C2semidirect
11. #24911939C2semidirect
12. #24911743C2semidirect
14. #24910060C2semidirect
15. C83×#2848C2semidirect
22. C2×#14581772C22semidirect
24. C2×#14581771C22semidirect
25. C2×#14581770C22semidirect
26. C2×#14581770C22semidirect
28. C2×#14581768C22semidirect
35. #19127641C22semidirect
36. #19127639C22semidirect
37. #19127635C22semidirect
38. #19127634C22semidirect
39. #19127634C22semidirect
40. #19127631C22semidirect
41. #19127630C22semidirect
42. #19127629C22semidirect
43. #19127627C22semidirect
44. #19127622C22semidirect
45. #19127620C22semidirect
48. #19127613C22semidirect
49. #19127605C22semidirect
50. #19127594C22semidirect
51. #19127593C22semidirect
52. #19127591C22semidirect
53. #19127589C22semidirect
57. #19127574C22semidirect
59. #19127572C22semidirect
60. #19127570C22semidirect
61. #19127563C22semidirect
65. #19127561C22semidirect
71. C2×C22⋊Q8×C83C22semidirect
73. #385×C83C22semidirect
75. #380×C83C22semidirect
365. #2848D83semidirect
377. C83#36720semidirect
393. C2×C22⋊Q8C2×D83semidirect
426. #385C2×D83semidirect
434. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283262
C22×#145817752
#249157502
#249138872
#249138852
#249138052
#249138022
#249132792
#249132782
#249126182
#249119392
#249117432
#249107882
#249100602
C83×#28482
#3672083