Finite Group Databasebeta

← #35567619

Subgroups — #35567619

Order 21248.

2486 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24910629C212yesmaximal, complemented
2#24910620C212yesmaximal, complemented
3#24910459C214yesmaximal, complemented
4#24910436C212yesmaximal, complemented
5#24910403C212yesmaximal, complemented
6#24910323C212yesmaximal, complemented
7#24910293C212yesmaximal, complemented
8#24910230C212yesmaximal, complemented
9#24910221C212yesmaximal, complemented
10#24910124C214yesmaximal, complemented
11#24910106C212yesmaximal, complemented
12#24910096C212yesmaximal, complemented
13#24909846C211yesmaximal, characteristic, complemented
14C2×#19127564C211yesmaximal, characteristic, complemented
15C2×#525×C83C211yesmaximal, characteristic
16C2×D4×Dic83C2214yes—
17C2×#14581751C2212yes—
18C22×C22⋊Dic83C2212yes—
19#19127608C2214yescomplemented
20#19127604C2214yes—
21#19127604C2214yes—
22#19127600C2214yescomplemented
23#19127594C2214yes—
24#19127594C2214yes—
25#19127594C2214yes—
26#19127594C2214yes—
27#19127594C2214yescomplemented
28#19127594C2214yescomplemented
29#19127587C2214yescomplemented
30#19127587C2214yescomplemented
31#19127587C2214yescomplemented
32#19127587C2214yescomplemented
33#19127581C2214yes—
34#19127581C2214yes—
35#19127581C2214yes—
36#19127581C2214yescomplemented
37#19127576C2214yes—
38#19127576C2214yescomplemented
39#19127569C2212yescomplemented
40#19127567C2212yescomplemented
41#19127564C2211yescharacteristic
42#19127564C2211yescharacteristic
43#19127564C2212yes—
44#19127564C2212yes—
45#19127564C2212yes—
46#19127564C2212yes—
47#19127564C2212yescomplemented
48#19127561C2212yes—
49#19127561C2212yes—
50#19127561C2212yescomplemented
51#19127557C2212yes—
52C4⋊C4×Dic83C2214yescomplemented
53C4×C4⋊Dic83C2212yescomplemented
54C22⋊C4×Dic83C2214yes—
55C22⋊C4×Dic83C2214yescomplemented
56C4×C22⋊Dic83C2211yescharacteristic
57C4×C22⋊Dic83C2211yescharacteristic
58C4×C22⋊Dic83C2212yes—
59C4×C22⋊Dic83C2212yescomplemented
60#19127547C2212yescomplemented
61C2×C83⋊#95C2212yes—
62C2×C83⋊#95C2212yes—
63C2×C83⋊#95C2212yescomplemented
64C22×#41×C83C2211yescharacteristic
65C24×C4×C83C2211yescharacteristic
66#525×C83C4116yescomplemented
67C2×#123×C83C2212yes—
68C2×C22⋊Q8×C83C2211yescharacteristic
69C2×C22⋊Q8×C83C2211yescharacteristic
70C2×#121×C83C2211yescharacteristic
71C2×#121×C83C2211yescharacteristic
72C2×#120×C83C2212yes—
73C2×C4×D4×C83C2212yes—
74C2×C4×D4×C83C2212yes—
75C2×#117×C83C2211yescharacteristic
76C23×Dic83C2314yes—
77C23×Dic83C2314yes—
78D4×Dic83—48no—
79#14581751—44no—
80C2×C4⋊Dic83C2314yes—
81C2×C4⋊Dic83C2314yes—
82C2×C4⋊Dic83C2314yes—
83C2×C4⋊Dic83C2314yes—
84C2×C22⋊Dic83—44no—
85C2×C22⋊Dic83C2314yes—
86C2×C22⋊Dic83C2312yes—
87C2×C22⋊Dic83C2314yes—
88C2×C22⋊Dic83C2312yes—
89C2×C22⋊Dic83C2314yes—
90C2×C22⋊Dic83C2312yes—
91C2×C22⋊Dic83C2314yes—
92C2×C22⋊Dic83C2312yes—
93C2×C22⋊Dic83C2314yes—
94C2×C22⋊Dic83C2314yes—
95C2×C4×Dic83C2314yes—
96C2×C4×Dic83C2312yes—
97C2×C4×Dic83C2314yes—
98C2×C4×Dic83C2312yes—
99C2×C4×Dic83C2314yes—
100C83⋊#95C2312yes—
101C83⋊#95C2312yes—
102C83⋊#95C2314yes—
103C83⋊#95C2314yes—
104C83⋊#95C2312yes—
105C83⋊#95C2314yes—
106C83⋊#95C2312yes—
107C83⋊#95C2312yes—
108C83⋊#95C2314yes—
109C83⋊#95C2312yes—
110C83⋊#95C2314yes—
111C83⋊#95C2314yes—
112C83⋊#95C2314yes—
113C83⋊#95C2314yes—
114C83⋊#95C2314yes—
115C25×C83C2311yescharacteristic
116C2×#41×C83—44no—
117C2×#41×C83C2×C418yes—
118C22×Q8×C83C2311yescharacteristic
119C22×D4×C83C2312yes—
120C22×D4×C83C2312yes—
121C22×D4×C83C2312yes—
122C22×D4×C83C2311yescharacteristic
123C23×C4×C83—44no—
124C23×C4×C83C2×C418yescomplemented
125C23×C4×C83C2311yescharacteristic
126C23×C4×C83C2311yescharacteristic
127C23×C4×C83C2311yescharacteristic
128C23×C4×C83C2311yescharacteristic
129C23×C4×C83C2312yes—
130C23×C4×C83C2311yescharacteristic
131C23×C4×C83C2311yescharacteristic
132#123×C83C2×C4116yescomplemented
133C22⋊Q8×C83C2×C418yescomplemented
134C22⋊Q8×C83C2×C418yescomplemented
135#121×C83C2×C418yescomplemented
136#121×C83C2×C418yescomplemented
137#120×C83C2×C4116yescomplemented
138C4×D4×C83C2×C4116yescomplemented
139C4×D4×C83C2×C4116yescomplemented
140#117×C83C2×C418yescomplemented
141C2×C4⋊C4×C83C2312yes—
142C2×C4⋊C4×C83C2311yescharacteristic
143C2×C4⋊C4×C83C2311yescharacteristic
144C2×C4⋊C4×C83C2312yes—
145C2×C22⋊C4×C83C2312yes—
146C2×C22⋊C4×C83C2312yes—
147C2×C22⋊C4×C83C2312yes—
148C2×C22⋊C4×C83C2312yes—
149C2×C22⋊C4×C83C2312yes—
150C2×C42×C83C2312yes—
151C22×Dic83—28no—
152C22×Dic83—44no—
153C22×Dic83—44no—
154C22×Dic83—44no—
155C22×Dic83—44no—
156C22×Dic83—44no—
157C22×Dic83C2414yes—
158C22×Dic83C2414yes—
159C22×Dic83C2414yes—
160C22×Dic83C2414yes—
161C4⋊Dic83—44no—
162C4⋊Dic83—44no—
163C4⋊Dic83—44no—
164C4⋊Dic83—44no—
165C22⋊Dic83—28no—
166C22⋊Dic83—42no—
167C22⋊Dic83—44no—
168C22⋊Dic83—42no—
169C22⋊Dic83—44no—
170C22⋊Dic83—42no—
171C22⋊Dic83—44no—
172C22⋊Dic83—42no—
173C22⋊Dic83—44no—
174C22⋊Dic83—44no—
175C4×Dic83—44no—
176C4×Dic83—44no—
177C4×Dic83—42no—
178C4×Dic83—42no—
179C4×Dic83—44no—
180C24×C83—24no—
181C24×C83—42no—
182C24×C83—42no—
183C24×C83C22×C414yes—
184C24×C83C2412yes—
185C24×C83C2411yescharacteristic
186C24×C83C2411yescharacteristic
187C24×C83C2411yescharacteristic
188#41×C83—416no—
189C2×Q8×C83—42no—
190C2×Q8×C83C22×C414yes—
191C2×D4×C83—28no—
192C2×D4×C83—42no—
193C2×D4×C83—44no—
194C2×D4×C83—42no—
195C2×D4×C83—42no—
196C2×D4×C83C22×C418yes—
197C2×D4×C83C22×C418yes—
198C2×D4×C83C22×C418yes—
199C2×D4×C83C22×C414yes—
200C22×C4×C83—24no—
201C22×C4×C83—24no—
202C22×C4×C83—416no—
203C22×C4×C83—42no—
204C22×C4×C83—42no—
205C22×C4×C83—42no—
206C22×C4×C83—42no—
207C22×C4×C83—44no—
208C22×C4×C83C22×C414yes—
209C22×C4×C83C22×C414yes—
210C22×C4×C83C22×C414yes—
211C22×C4×C83C22×C414yes—
212C22×C4×C83C22×C418yes—
213C22×C4×C83C22×C414yes—
214C22×C4×C83C22×C414yes—
215C22×C4×C83C2411yescharacteristic
216C22×C4×C83C2412yes—
217C22×C4×C83C2412yes—
218C22×C4×C83C2411yescharacteristic
219C22×C4×C83C2411yescharacteristic
220C22×C4×C83C2412yes—
221C22×C4×C83C2411yescharacteristic
222C4⋊C4×C83C22×C414yes—
223C4⋊C4×C83C22×C414yes—
224C4⋊C4×C83C22×C418yes—
225C4⋊C4×C83C22×C418yes—
226C22⋊C4×C83C22×C418yes—
227C22⋊C4×C83C22×C418yes—
228C22⋊C4×C83C22×C418yes—
229C22⋊C4×C83C22×C418yes—
230C22⋊C4×C83C22×C418yes—
231C42×C83C22×C418yes—
232C23×C83—22no—
233C23×C83—22no—
234C23×C83—28no—
235C23×C83—22no—
236C23×C83—22no—
237C23×C83—24no—
238C23×C83—22no—
239C23×C83—22no—
240C23×C83—22no—
241C23×C83—24no—
242C23×C83—22no—
243C23×C83—22no—
244C23×C83—22no—
245C23×C83—44no—
246C23×C83—44no—
247C23×C83—416no—
248C23×C83C23×C412yes—
249C23×C83C23×C412yes—
250C23×C83C23×C414yes—
251C23×C83C23×C412yes—
252C23×C83H(5,𝔽2)14yes—
253C23×C83C2511yescharacteristic
254Q8×C83—44no—
255D4×C83—216no—
256D4×C83—48no—
257D4×C83—48no—
258D4×C83—44no—
259C2×C4×C83—28no—
260C2×C4×C83—28no—
261C2×C4×C83—22no—
262C2×C4×C83—22no—
263C2×C4×C83—22no—
264C2×C4×C83—22no—
265C2×C4×C83—24no—
266C2×C4×C83—22no—
267C2×C4×C83—24no—
268C2×C4×C83—22no—
269C2×C4×C83—44no—
270C2×C4×C83—44no—
271C2×C4×C83—44no—
272C2×C4×C83—44no—
273C2×C4×C83—48no—
274C2×C4×C83C23×C412yes—
275C2×C4×C83C23×C414yes—
276C2×C4×C83C23×C414yes—
277C2×C4×C83C23×C412yes—
278C2×C4×C83C23×C412yes—
279C2×C4×C83C23×C414yes—
280C2×C4×C83C23×C412yes—
281C2×Dic83—24no—
282C2×Dic83—24no—
283C2×Dic83—24no—
284C2×Dic83—24no—
285C2×Dic83—24no—
286C2×Dic83—24no—
287C2×Dic83—24no—
288C2×Dic83—24no—
289C2×Dic83—24no—
290C2×Dic83—24no—
291C2×Dic83—24no—
292C2×Dic83—24no—
293C2×Dic83—88no—
294C2×Dic83—88no—
295C22×C83—22no—
296C22×C83—22no—
297C22×C83—28no—
298C22×C83—22no—
299C22×C83—22no—
300C22×C83—24no—
301C22×C83—22no—
302C22×C83—22no—
303C22×C83—24no—
304C22×C83—24no—
305C22×C83—22no—
306C22×C83—22no—
307C22×C83—416no—
308C22×C83—44no—
309C22×C83—44no—
310C22×C83—44no—
311C22×C83—44no—
312C22×C83#51814yes—
313C22×C83C24×C411yescharacteristic
314C22×C83C2×H(5,𝔽2)12yes—
315C22×C83#58512yes—
316C22×C83#58512yes—
317C4×C83—22no—
318C4×C83—22no—
319C4×C83—22no—
320C4×C83—22no—
321C4×C83—24no—
322C4×C83—24no—
323C4×C83—24no—
324Dic83—44no—
325Dic83—44no—
326Dic83—44no—
327Dic83—44no—
328#34396—831nomaximal, Sylow
329C2×C83—24no—
330C2×C83—44no—
331C2×C83—42no—
332C2×C83—42no—
333C2×C83C2×#51811yescharacteristic
334C2×C83#342811yescharacteristic
335C2×C83#342811yescharacteristic
336C2×C83#353314yes—
337C2×#525D8311yescharacteristic
338#2378—832no—
339#2377—832no—
340#2359—834no—
341#2357—832no—
342#2353—832no—
343#2343—832no—
344#2339—832no—
345#2333—832no—
346#2332—832no—
347#2321—834no—
348#2319—832no—
349#2318—832no—
350#2280—831no—
351C2×#381—831no—
352C83#3439611yescharacteristic, complemented, Sylow
353C22×#41C2×D8311yescharacteristic
354C24×C4C2×D8311yescharacteristic
355#525Dic83116yescomplemented
356C2×#123C2×D8312yes—
357C2×C22⋊Q8C2×D8311yescharacteristic
358C2×C22⋊Q8C2×D8311yescharacteristic
359C2×#121C2×D8311yescharacteristic
360C2×#121C2×D8311yescharacteristic
361C2×#120C2×D8312yes—
362C2×C4×D4—834no—
363C2×C4×D4C2×D8312yes—
364C2×C4×D4C2×D8312yes—
365C2×#117—832no—
366C2×#117C2×D8311yescharacteristic
367C22×C22⋊C4—832no—
368#391—834no—
369#390—834no—
370#390—834no—
371#389—834no—
372#388—834no—
373#388—834no—
374#388—834no—
375#388—834no—
376#388—834no—
377#388—834no—
378#387—834no—
379#387—834no—
380#387—834no—
381#387—834no—
382#386—834no—
383#386—834no—
384#386—834no—
385#386—834no—
386#385—834no—
387#385—834no—
388#383—832no—
389#382—832no—
390#381—831no—
391#381—831no—
392#381—832no—
393#381—832no—
394#381—832no—
395#381—832no—
396#381—832no—
397#380—832no—
398#380—832no—
399#380—832no—
400#379—832no—
401C4×C4⋊C4—834no—
402C4×C4⋊C4—832no—
403C4×C22⋊C4—832no—
404C4×C22⋊C4—832no—
405C4×C22⋊C4—831no—
406C4×C22⋊C4—831no—
407C4×C22⋊C4—834no—
408C4×C22⋊C4—834no—
409#376—832no—
410C2×#95—832no—
411C2×#95—832no—
412C2×#95—832no—
413C25C22×D8311yescharacteristic
414C2×#41—44no—
415C2×#41C2×Dic8318yes—
416C22×Q8C22×D8311yescharacteristic
417C22×D4C22×D8312yes—
418C22×D4C22×D8312yes—
419C22×D4C22×D8312yes—
420C22×D4C22×D8311yescharacteristic
421C23×C4—44no—
422C23×C4—834no—
423C23×C4—834no—
424C23×C4C2×Dic8318yescomplemented
425C23×C4C22×D8311yescharacteristic
426C23×C4C22×D8311yescharacteristic
427C23×C4C22×D8311yescharacteristic
428C23×C4C22×D8311yescharacteristic
429C23×C4C22×D8312yes—
430C23×C4C22×D8311yescharacteristic
431C23×C4C22×D8311yescharacteristic
432#123C2×Dic83116yescomplemented
433C22⋊Q8C2×Dic8318yescomplemented
434C22⋊Q8C2×Dic8318yescomplemented
435#121C2×Dic8318yescomplemented
436#121C2×Dic8318yescomplemented
437#120C2×Dic83116yescomplemented
438C4×D4—3328no—
439C4×D4C2×Dic83116yescomplemented
440C4×D4C2×Dic83116yescomplemented
441#117—3324no—
442#117C2×Dic8318yescomplemented
443C2×C4⋊C4—834no—
444C2×C4⋊C4—834no—
445C2×C4⋊C4—834no—
446C2×C4⋊C4—834no—
447C2×C4⋊C4C22×D8311yescharacteristic
448C2×C4⋊C4C22×D8311yescharacteristic
449C2×C4⋊C4C22×D8312yes—
450C2×C4⋊C4C22×D8312yes—
451C2×C22⋊C4—3324no—
452C2×C22⋊C4—832no—
453C2×C22⋊C4—834no—
454C2×C22⋊C4—832no—
455C2×C22⋊C4—834no—
456C2×C22⋊C4—832no—
457C2×C22⋊C4—834no—
458C2×C22⋊C4—832no—
459C2×C22⋊C4—834no—
460C2×C22⋊C4—834no—
461C2×C22⋊C4—834no—
462C2×C22⋊C4C22×D8312yes—
463C2×C22⋊C4C22×D8312yes—
464C2×C22⋊C4C22×D8312yes—
465C2×C22⋊C4C22×D8312yes—
466C2×C22⋊C4C22×D8312yes—
467C2×C42—832no—
468C2×C42—832no—
469C2×C42—834no—
470C2×C42—834no—
471C2×C42—834no—
472C2×C42C22×D8312yes—
473#95—832no—
474#95—832no—
475#95—832no—
476#95—834no—
477#95—832no—
478#95—834no—
479#95—832no—
480#95—834no—
481#95—834no—
482#95—832no—
483#95—834no—
484#95—834no—
485#95—834no—
486#95—834no—
487#95—834no—
488C24—24no—
489C24—42no—
490C24—42no—
491C24C22×Dic8314yes—
492C24C23×D8311yescharacteristic
493C24C23×D8311yescharacteristic
494C24C23×D8312yes—
495C24C23×D8311yescharacteristic
496#41—416no—
497C2×Q8—42no—
498C2×Q8C22×Dic8314yes—
499C2×D4—28no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—44no—
503C2×D4—42no—
504C2×D4C22×Dic8318yes—
505C2×D4C22×Dic8318yes—
506C2×D4C22×Dic8318yes—
507C2×D4C22×Dic8314yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—416no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—3324no—
517C22×C4—3324no—
518C22×C4—3324no—
519C22×C4—3324no—
520C22×C4—3324no—
521C22×C4—834no—
522C22×C4—834no—
523C22×C4—834no—
524C22×C4—834no—
525C22×C4—1668no—
526C22×C4C22×Dic8314yes—
527C22×C4C22×Dic8314yes—
528C22×C4C22×Dic8314yes—
529C22×C4C22×Dic8314yes—
530C22×C4C22×Dic8318yes—
531C22×C4C22×Dic8314yes—
532C22×C4C22×Dic8314yes—
533C22×C4C23×D8311yescharacteristic
534C22×C4C23×D8311yescharacteristic
535C22×C4C23×D8311yescharacteristic
536C22×C4C23×D8312yes—
537C22×C4C23×D8312yes—
538C22×C4C23×D8312yes—
539C22×C4C23×D8311yescharacteristic
540C4⋊C4—3324no—
541C4⋊C4—3324no—
542C4⋊C4—3324no—
543C4⋊C4—3324no—
544C4⋊C4C22×Dic8314yes—
545C4⋊C4C22×Dic8314yes—
546C4⋊C4C22×Dic8318yes—
547C4⋊C4C22×Dic8318yes—
548C22⋊C4—3322no—
549C22⋊C4—3324no—
550C22⋊C4—3322no—
551C22⋊C4—3324no—
552C22⋊C4—3324no—
553C22⋊C4—3322no—
554C22⋊C4—3324no—
555C22⋊C4—3322no—
556C22⋊C4—3324no—
557C22⋊C4—1668no—
558C22⋊C4C22×Dic8318yes—
559C22⋊C4C22×Dic8318yes—
560C22⋊C4C22×Dic8318yes—
561C22⋊C4C22×Dic8318yes—
562C22⋊C4C22×Dic8318yes—
563C42—3322no—
564C42—3322no—
565C42—3324no—
566C42—3324no—
567C42—3324no—
568C42C22×Dic8318yes—
569C23—22no—
570C23—22no—
571C23—28no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23C23×Dic8312yes—
586C23C23×Dic8312yes—
587C23C23×Dic8314yes—
588C23C23×Dic8312yes—
589C23#1458183714yes—
590C23C24×D8311yescharacteristic
591Q8—44no—
592D4—216no—
593D4—44no—
594D4—48no—
595D4—48no—
596C2×C4—28no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—6648no—
612C2×C4—6648no—
613C2×C4—1664no—
614C2×C4—1664no—
615C2×C4—1664no—
616C2×C4—1664no—
617C2×C4—1664no—
618C2×C4—1664no—
619C2×C4—1664no—
620C2×C4—1664no—
621C2×C4—1664no—
622C2×C4—1664no—
623C2×C4—1664no—
624C2×C4—1664no—
625C2×C4C23×Dic8312yes—
626C2×C4C23×Dic8314yes—
627C2×C4C23×Dic8314yes—
628C2×C4C23×Dic8312yes—
629C2×C4C23×Dic8312yes—
630C2×C4C23×Dic8314yes—
631C2×C4C23×Dic8312yes—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1912817614yes—
650C22C24×Dic8311yescharacteristic
651C22C2×#1458183712yes—
652C22#1912853712yes—
653C22#1912853712yes—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—3324no—
662C4—3324no—
663C4—3324no—
664C4—3324no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1912817611yescharacteristic
670C2#2492066611yescharacteristic
671C2#2492066611yescharacteristic
672C2#2492162714yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
Fitting, prime radicalC2×#525×C83C2
socle, cosocleC23×C83C25
hypercenterC2×#525D83
hypocenterC83#34396
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #24910629C2semidirect
2. #24910620C2semidirect
3. #24910459C2semidirect
4. #24910436C2semidirect
5. #24910403C2semidirect
6. #24910323C2semidirect
7. #24910293C2semidirect
8. #24910230C2semidirect
9. #24910221C2semidirect
10. #24910124C2semidirect
11. #24910106C2semidirect
12. #24910096C2semidirect
13. #24909846C2semidirect
14. C2×#19127564C2semidirect
19. #19127608C22semidirect
22. #19127600C22semidirect
27. #19127594C22semidirect
28. #19127594C22semidirect
29. #19127587C22semidirect
30. #19127587C22semidirect
31. #19127587C22semidirect
32. #19127587C22semidirect
36. #19127581C22semidirect
38. #19127576C22semidirect
39. #19127569C22semidirect
40. #19127567C22semidirect
47. #19127564C22semidirect
50. #19127561C22semidirect
52. C4⋊C4×Dic83C22semidirect
53. C4×C4⋊Dic83C22semidirect
55. C22⋊C4×Dic83C22semidirect
59. C4×C22⋊Dic83C22semidirect
60. #19127547C22semidirect
63. C2×C83⋊#95C22semidirect
66. #525×C83C4semidirect
124. C23×C4×C83C2×C4semidirect
132. #123×C83C2×C4semidirect
133. C22⋊Q8×C83C2×C4semidirect
134. C22⋊Q8×C83C2×C4semidirect
135. #121×C83C2×C4semidirect
136. #121×C83C2×C4semidirect
137. #120×C83C2×C4semidirect
138. C4×D4×C83C2×C4semidirect
139. C4×D4×C83C2×C4semidirect
140. #117×C83C2×C4semidirect
352. C83#34396semidirect
355. #525Dic83semidirect
424. C23×C4C2×Dic83semidirect
432. #123C2×Dic83semidirect
433. C22⋊Q8C2×Dic83semidirect
434. C22⋊Q8C2×Dic83semidirect
435. #121C2×Dic83semidirect
436. #121C2×Dic83semidirect
437. #120C2×Dic83semidirect
439. C4×D4C2×Dic83semidirect
440. C4×D4C2×Dic83semidirect
442. #117C2×Dic83semidirect

Maximal subgroups

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

subgroupindex
#249106292
#249106202
#249104592
#249104362
#249104032
#249103232
#249102932
#249102302
#249102212
#249101242
#249101062
#249100962
#249098462
C2×#191275642
C2×#525×C832
#3439683