Finite Group Databasebeta

← #35610360

Subgroups — #35610360

Order 21248.

3110 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128257C211yesmaximal, characteristic, complemented
2C22×C42×D83C211yesmaximal, characteristic
3#24915814C212yesmaximal, complemented
4#24915813C212yesmaximal, complemented
5#24915798C214yesmaximal, complemented
6#24915774C211yesmaximal, characteristic, complemented
7#24915773C211yesmaximal, characteristic, complemented
8#24915768C211yesmaximal, characteristic, complemented
9#24915749C214yesmaximal
10#24909997C214yesmaximal, complemented
11#24909995C214yesmaximal, complemented
12#24909944C212yesmaximal, complemented
13#24909869C211yesmaximal, characteristic, complemented
14#24909845C212yesmaximal
15C83×#2851C211yesmaximal, characteristic, complemented
16C23×C4×D83C2212yes—
17C23×C4×D83C2211yescharacteristic
18#19128257—28no—
19C2×#14581791C2212yescomplemented
20C2×#14581784C2211yescharacteristic, complemented
21C2×#14581770C2214yes—
22C2×#14581770C2214yes—
23C2×#14581769C2214yes—
24C2×#14581757C2214yescomplemented
25C2×#14581750C2212yes—
26C2×#14581750C2212yes—
27C22×C4×Dic83C2211yescharacteristic
28C22×C4×Dic83C2212yes—
29C2×C42×D83—28no—
30C2×C42×D83C2211yescharacteristic
31C2×C42×D83C2212yes—
32C2×C42×D83C2211yescharacteristic
33C2×C42×D83C2211yescharacteristic
34C2×C42×D83C2212yes—
35C2×C42×D83C2211yescharacteristic
36#19127605C2214yescomplemented
37#19127605C2214yescomplemented
38#19127600C2212yescomplemented
39#19127599C2212yescomplemented
40#19127598C2214yescomplemented
41#19127597C2212yescomplemented
42#19127596C2214yescomplemented
43#19127586C2214yescomplemented
44#19127585C2214yescomplemented
45#19127582C2214yescomplemented
46#19127575C2214yes—
47#19127575C2214yes—
48#19127574C2214yes—
49#19127572C2214yes—
50#19127572C2214yes—
51#19127570C2212yescomplemented
52#19127567C2211yescharacteristic, complemented
53#19127563C2214yes—
54#19127561C2212yes—
55#19127560C2214yes—
56#19127560C2214yes—
57#19127559C2214yes—
58#19127558C2212yes—
59#19127558C2212yes—
60#19127556C2214yes—
61C4⋊C4×Dic83C2214yescomplemented
62#19127552C2214yescomplemented
63#19127552C2214yescomplemented
64C22⋊C4×Dic83C2214yes—
65#19127548C2214yes—
66C2×#125×C83C2211yescharacteristic, complemented
67C22×C42×C83C2211yescharacteristic
68#389×C83C2212yescomplemented
69#387×C83C2214yescomplemented
70#385×C83C2214yes—
71#382×C83C2211yescharacteristic, complemented
72#380×C83C2212yes—
73C24×D83C2311yescharacteristic
74C22×Dic166C2314yes—
75C23×Dic83C2311yescharacteristic
76C23×Dic83C2312yes—
77C22×C4×D83—28no—
78C22×C4×D83—28no—
79C22×C4×D83—24no—
80C22×C4×D83—28no—
81C22×C4×D83—24no—
82C22×C4×D83Q818yescomplemented
83C22×C4×D83C2312yes—
84C22×C4×D83C2312yes—
85C22×C4×D83C2312yes—
86C22×C4×D83C2311yescharacteristic
87C22×C4×D83C2311yescharacteristic
88C22×C4×D83C2311yescharacteristic
89C22×C4×D83C2312yes—
90C22×C4×D83C2311yescharacteristic
91#14581791—28no—
92#14581784—24no—
93#14581770—216no—
94#14581770—216no—
95#14581769—216no—
96#14581757—216no—
97#14581750—28no—
98#14581750—28no—
99C2×C4⋊Dic83C2314yes—
100C2×C4⋊Dic83C2312yes—
101C2×C4⋊Dic83C2312yes—
102C2×Dic83⋊C4C2314yes—
103C2×Dic83⋊C4C2314yes—
104C2×Dic83⋊C4C2314yes—
105C2×Dic83⋊C4C2314yes—
106C2×Dic83⋊C4C2314yes—
107C2×Dic83⋊C4C2314yes—
108C2×C22⋊Dic83C2314yes—
109C2×(C2×D83)⋊C4C2314yes—
110C2×(C2×D83)⋊C4C2314yes—
111C2×(C2×D83)⋊C4C2314yes—
112C2×(C2×D83)⋊C4C2314yes—
113C2×C4×Dic83—24no—
114C2×C4×Dic83—28no—
115C2×C4×Dic83C2314yes—
116C2×C4×Dic83C2312yes—
117C2×C4×Dic83C2314yes—
118C2×C4×Dic83C2312yes—
119C2×C4×Dic83C2312yes—
120C2×C4×Dic83C2311yescharacteristic
121C2×C4×Dic83C2312yes—
122C2×C4×Dic83C2312yes—
123C2×C4×Dic83C2311yescharacteristic
124C42×D83—28no—
125C42×D83—24no—
126C42×D83—24no—
127C42×D83—28no—
128C42×D83—24no—
129C42×D83D418yes—
130C83⋊#95C2314yes—
131C83⋊#95C2314yes—
132C83⋊#95C2314yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C83⋊#95C2314yes—
137C23×C4×C83C2312yes—
138C23×C4×C83C2311yescharacteristic
139#125×C83—24no—
140C2×C4⋊C4×C83C2314yes—
141C2×C4⋊C4×C83C2312yes—
142C2×C4⋊C4×C83C2312yes—
143C2×C4⋊C4×C83C2314yes—
144C2×C22⋊C4×C83C2314yes—
145C2×C42×C83—24no—
146C2×C42×C83C2312yes—
147C2×C42×C83C2311yescharacteristic
148C2×C42×C83C2311yescharacteristic
149#95×C83C2314yes—
150#95×C83C2314yes—
151#95×C83C2314yes—
152C23×D83—24no—
153C23×D83—22no—
154C23×D83—24no—
155C23×D83—22no—
156C23×D83C2×Q814yes—
157C23×D83C2411yescharacteristic
158C23×D83C2411yescharacteristic
159C2×Dic166—28no—
160C2×Dic166—28no—
161C2×Dic166—28no—
162C22×Dic83—22no—
163C22×Dic83—24no—
164C22×Dic83—22no—
165C22×Dic83—24no—
166C22×Dic83C2×Q814yes—
167C22×Dic83#4118yes—
168C22×Dic83C2414yes—
169C22×Dic83C2414yes—
170C22×Dic83C2411yescharacteristic
171C22×Dic83C2412yes—
172C22×Dic83C2411yescharacteristic
173C22×Dic83C2412yes—
174C2×C4×D83—264no—
175C2×C4×D83—24no—
176C2×C4×D83—22no—
177C2×C4×D83—24no—
178C2×C4×D83—22no—
179C2×C4×D83—24no—
180C2×C4×D83—22no—
181C2×C4×D83—24no—
182C2×C4×D83—22no—
183C2×C4×D83—22no—
184C2×C4×D83—24no—
185C2×C4×D83—24no—
186C2×C4×D83—24no—
187C2×C4×D83—22no—
188C2×C4×D83—24no—
189C2×C4×D83—24no—
190C2×C4×D83—24no—
191C2×C4×D83—232no—
192C2×C4×D83C2×D418yes—
193C2×C4×D83C2×D414yes—
194C2×C4×D83C2×Q814yes—
195C2×C4×D83C2×Q814yes—
196C2×C4×D83C2×Q814yes—
197C2×C4×D83C2×Q814yes—
198C2×C4×D83#4118yes—
199C2×C4×D83#4114yes—
200C4⋊Dic83—24no—
201C4⋊Dic83—24no—
202C4⋊Dic83—28no—
203Dic83⋊C4—28no—
204Dic83⋊C4—28no—
205Dic83⋊C4—28no—
206Dic83⋊C4—28no—
207Dic83⋊C4—28no—
208Dic83⋊C4—28no—
209C22⋊Dic83—28no—
210(C2×D83)⋊C4—28no—
211(C2×D83)⋊C4—28no—
212(C2×D83)⋊C4—28no—
213(C2×D83)⋊C4—28no—
214C4×Dic83—24no—
215C4×Dic83—22no—
216C4×Dic83—24no—
217C4×Dic83—24no—
218C4×Dic83—24no—
219C4×Dic83—28no—
220C4×Dic83—28no—
221C4×Dic83C2×D414yes—
222C4×Dic83C2×D418yes—
223C24×C83C2411yescharacteristic
224C22×C4×C83—24no—
225C22×C4×C83—24no—
226C22×C4×C83—22no—
227C22×C4×C83—24no—
228C22×C4×C83—22no—
229C22×C4×C83C2×Q814yes—
230C22×C4×C83C2414yes—
231C22×C4×C83C2414yes—
232C22×C4×C83C2412yes—
233C22×C4×C83C2411yescharacteristic
234C22×C4×C83C2412yes—
235C22×C4×C83C2411yescharacteristic
236C4⋊C4×C83—28no—
237C4⋊C4×C83—24no—
238C4⋊C4×C83—28no—
239C4⋊C4×C83—24no—
240C22⋊C4×C83—28no—
241C42×C83—24no—
242C42×C83—22no—
243C42×C83C2×D414yes—
244C23×C83—21no—
245C23×C83—21no—
246C23×C83—22no—
247C23×C83C22×Q812yes—
248C23×C83C2×#4114yes—
249C23×C83C2511yescharacteristic
250C22×D83—216no—
251C22×D83—216no—
252C22×D83—28no—
253C22×D83—21no—
254C22×D83—21no—
255C22×D83—22no—
256C22×D83—22no—
257C22×D83—22no—
258C22×D83—28no—
259C22×D83—28no—
260C22×D83C22×D412yes—
261C22×D83C22×Q812yes—
262C22×D83C22×Q812yes—
263C22×D83C2×#4112yes—
264C22×D83C2×#4114yes—
265C2×C4×C83—216no—
266C2×C4×C83—21no—
267C2×C4×C83—22no—
268C2×C4×C83—21no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—28no—
273C2×C4×C83—24no—
274C2×C4×C83—24no—
275C2×C4×C83—24no—
276C2×C4×C83—24no—
277C2×C4×C83—24no—
278C2×C4×C83—24no—
279C2×C4×C83C22×D414yes—
280C2×C4×C83C22×D412yes—
281C2×C4×C83C22×Q812yes—
282C2×C4×C83C22×Q812yes—
283C2×C4×C83C2×#4114yes—
284C2×C4×C83C2×#4112yes—
285C2×Dic83—21no—
286C2×Dic83—22no—
287C2×Dic83—21no—
288C2×Dic83—22no—
289C2×Dic83—28no—
290C2×Dic83—216no—
291C2×Dic83—24no—
292C2×Dic83—24no—
293C2×Dic83—24no—
294C2×Dic83—24no—
295C2×Dic83—24no—
296C2×Dic83—24no—
297C2×Dic83C22×D412yes—
298C2×Dic83C22×D414yes—
299C2×Dic83C22×Q812yes—
300C2×Dic83C22×Q812yes—
301C2×Dic83C2×#4114yes—
302C2×Dic83C2×#4112yes—
303C2×Dic83C2×#4114yes—
304C2×Dic83C2×#4114yes—
305C4×D83—216no—
306C4×D83—216no—
307C4×D83—28no—
308C4×D83—28no—
309C4×D83—28no—
310C4×D83—216no—
311C4×D83—216no—
312C4×D83C22⋊Q8116yescomplemented
313Dic166—416no—
314C22×C83—22no—
315C22×C83—24no—
316C22×C83—22no—
317C22×C83—24no—
318C22×C83#53314yescomplemented
319C22×C83C23×D411yescharacteristic
320C22×C83C23×Q811yescharacteristic
321C22×C83C22×#4111yescharacteristic
322C22×C83C22×#4112yes—
323C22×C83C22×#4112yes—
324C2×D83—232no—
325C2×D83—22no—
326C2×D83—24no—
327C2×D83—24no—
328C2×D83—22no—
329C2×D83—22no—
330C2×D83—22no—
331C2×D83—24no—
332C2×D83—24no—
333C2×D83C2×C22⋊Q814yes—
334C2×D83#53314yescomplemented
335C4×C83—22no—
336C4×C83—24no—
337C4×C83—24no—
338C4×C83—44no—
339C4×C83—44no—
340C4×C83C2×C22⋊Q814yes—
341Dic83—22no—
342Dic83—24no—
343Dic83—44no—
344Dic83—44no—
345Dic83C2×C22⋊Q814yes—
346Dic83#52518yes—
347#36625—831nomaximal, Sylow
348C2×C83—24no—
349C2×C83C22×C22⋊Q811yescharacteristic
350C2×C83C2×#52512yes—
351C2×C83C2×#53311yescharacteristic
352C2×C83C2×#53311yescharacteristic
353C2×C83#344412yes—
354D83—24no—
355D83—24no—
356C2×#533—831no—
357C23×C42—831no—
358#2857—832no—
359#2857—832no—
360#2855—834no—
361#2851—831no—
362#2851—831no—
363#2851—831no—
364#2851D8311yescharacteristic, complemented
365#2848—834no—
366C4×C22⋊Q8—834no—
367C4×C22⋊Q8—834no—
368#2296—832no—
369#2285—831no—
370#2280—832no—
371C83#3662511yescharacteristic, complemented, Sylow
372C24×C4—831no—
373C24×C4—832no—
374#533—1668no—
375C2×C4⋊Q8—832no—
376C2×#125—831no—
377C2×#125C2×D8311yescharacteristic, complemented
378C2×C22⋊Q8—834no—
379C2×C22⋊Q8—834no—
380C2×C22⋊Q8—834no—
381C2×C4×Q8—834no—
382C2×#117—832no—
383C2×#117—832no—
384C22×C42—831no—
385C22×C42—831no—
386C22×C42—832no—
387C22×C42—831no—
388C22×C42—832no—
389C22×C42—831no—
390C22×C42—831no—
391C22×C42—832no—
392C22×C42—1668no—
393C22×C42C2×D8311yescharacteristic
394#391—834no—
395#391—834no—
396#389—832no—
397#389—832no—
398#389—834no—
399#389—832no—
400#389—834no—
401#389C2×D8312yescomplemented
402#387—834no—
403#387—834no—
404#387—834no—
405#387C2×D8314yescomplemented
406#385—834no—
407#385—834no—
408#385—834no—
409#385—834no—
410#385—834no—
411#385C2×D8314yes—
412#384—832no—
413#382—831no—
414#382C2×D8311yescharacteristic, complemented
415#381—834no—
416#380—832no—
417#380—832no—
418#380—832no—
419#380—834no—
420#380—834no—
421#380—834no—
422#380C2×D8312yes—
423#379—834no—
424C4×C4⋊C4—834no—
425C4×C4⋊C4—834no—
426C4×C4⋊C4—834no—
427C4×C22⋊C4—834no—
428C4×C22⋊C4—834no—
429C25—831no—
430C22×Q8—834no—
431C23×C4—831no—
432C23×C4—832no—
433C23×C4—831no—
434C23×C4—838no—
435C23×C4—832no—
436C23×C4—832no—
437C23×C4—831no—
438C23×C4—831no—
439C23×C4—831no—
440C23×C4—832no—
441C23×C4—832no—
442C23×C4—1668no—
443C23×C4—1664no—
444C23×C4—1668no—
445C23×C4—1664no—
446C23×C4—1668no—
447C23×C4C22×D8312yes—
448C23×C4C22×D8311yescharacteristic
449C4⋊Q8—1668no—
450#125—24no—
451#125—1664no—
452C22⋊Q8—16616no—
453C22⋊Q8—16616no—
454C22⋊Q8—16616no—
455C4×Q8—16616no—
456#117—1668no—
457#117—1668no—
458C2×C4⋊C4—832no—
459C2×C4⋊C4—832no—
460C2×C4⋊C4—834no—
461C2×C4⋊C4—834no—
462C2×C4⋊C4—834no—
463C2×C4⋊C4—834no—
464C2×C4⋊C4—834no—
465C2×C4⋊C4—834no—
466C2×C4⋊C4—834no—
467C2×C4⋊C4C22×D8312yes—
468C2×C4⋊C4C22×D8312yes—
469C2×C4⋊C4C22×D8314yes—
470C2×C4⋊C4C22×D8314yes—
471C2×C22⋊C4—834no—
472C2×C22⋊C4—834no—
473C2×C22⋊C4—834no—
474C2×C22⋊C4—834no—
475C2×C22⋊C4—834no—
476C2×C22⋊C4C22×D8314yes—
477C2×C42—24no—
478C2×C42—832no—
479C2×C42—831no—
480C2×C42—838no—
481C2×C42—834no—
482C2×C42—834no—
483C2×C42—832no—
484C2×C42—832no—
485C2×C42—831no—
486C2×C42—832no—
487C2×C42—832no—
488C2×C42—1668no—
489C2×C42—1664no—
490C2×C42—1664no—
491C2×C42—1668no—
492C2×C42—1668no—
493C2×C42—1664no—
494C2×C42—1664no—
495C2×C42C22×D8312yes—
496C2×C42C22×D8311yescharacteristic
497C2×C42C22×D8311yescharacteristic
498#95—834no—
499#95—834no—
500#95—834no—
501#95—834no—
502#95—834no—
503#95—834no—
504#95—834no—
505#95C22×D8314yes—
506#95C22×D8314yes—
507#95C22×D8314yes—
508C24—831no—
509C24—831no—
510C24—834no—
511C24—1662no—
512C24—1662no—
513C24—1664no—
514C24—1664no—
515C24C23×D8311yescharacteristic
516C2×Q8—1668no—
517C2×Q8—1668no—
518C2×Q8—1668no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—831no—
525C22×C4—832no—
526C22×C4—834no—
527C22×C4—834no—
528C22×C4—834no—
529C22×C4—834no—
530C22×C4—838no—
531C22×C4—831no—
532C22×C4—832no—
533C22×C4—838no—
534C22×C4—834no—
535C22×C4—834no—
536C22×C4—834no—
537C22×C4—838no—
538C22×C4—834no—
539C22×C4—834no—
540C22×C4—1662no—
541C22×C4—1664no—
542C22×C4—1662no—
543C22×C4—1664no—
544C22×C4—1664no—
545C22×C4—1664no—
546C22×C4—1664no—
547C22×C4—1664no—
548C22×C4—16632no—
549C22×C4—1662no—
550C22×C4—1664no—
551C22×C4—1662no—
552C22×C4—1664no—
553C22×C4—16664no—
554C22×C4—1662no—
555C22×C4—1664no—
556C22×C4—1662no—
557C22×C4—1664no—
558C22×C4—1664no—
559C22×C4—1662no—
560C22×C4—1664no—
561C22×C4—1662no—
562C22×C4Q8×D8314yes—
563C22×C4C23×D8314yes—
564C22×C4C23×D8314yes—
565C22×C4C23×D8312yes—
566C22×C4C23×D8311yescharacteristic
567C22×C4C23×D8312yes—
568C22×C4C23×D8311yescharacteristic
569C4⋊C4—24no—
570C4⋊C4—28no—
571C4⋊C4—24no—
572C4⋊C4—28no—
573C4⋊C4—1668no—
574C4⋊C4—1668no—
575C4⋊C4—1668no—
576C4⋊C4—1668no—
577C4⋊C4—1668no—
578C4⋊C4—1664no—
579C4⋊C4—1668no—
580C4⋊C4—1664no—
581C4⋊C4—1668no—
582C22⋊C4—28no—
583C22⋊C4—1668no—
584C22⋊C4—1668no—
585C22⋊C4—1668no—
586C22⋊C4—1668no—
587C22⋊C4—1668no—
588C42—24no—
589C42—22no—
590C42—838no—
591C42—834no—
592C42—1664no—
593C42—1664no—
594C42—1664no—
595C42—1668no—
596C42—1668no—
597C42—1664no—
598C42—1662no—
599C42D4×D8314yes—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—832no—
604C23—832no—
605C23—832no—
606C23—832no—
607C23—834no—
608C23—1668no—
609C23—1668no—
610C23—16616no—
611C23—16616no—
612C23—1668no—
613C23—1661no—
614C23—1661no—
615C23—1662no—
616C23—1662no—
617C23—1662no—
618C23C2×Q8×D8312yes—
619C23#41×D8314yes—
620C23C24×D8311yescharacteristic
621Q8—33216no—
622C2×C4—216no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—28no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—832no—
637C2×C4—834no—
638C2×C4—832no—
639C2×C4—832no—
640C2×C4—834no—
641C2×C4—834no—
642C2×C4—8316no—
643C2×C4—832no—
644C2×C4—834no—
645C2×C4—1668no—
646C2×C4—16616no—
647C2×C4—16616no—
648C2×C4—1668no—
649C2×C4—16616no—
650C2×C4—16616no—
651C2×C4—1664no—
652C2×C4—1664no—
653C2×C4—1664no—
654C2×C4—1664no—
655C2×C4—1664no—
656C2×C4—1664no—
657C2×C4—1668no—
658C2×C4—16616no—
659C2×C4—1661no—
660C2×C4—1662no—
661C2×C4—1661no—
662C2×C4—1662no—
663C2×C4—1668no—
664C2×C4C2×D4×D8314yes—
665C2×C4C2×D4×D8312yes—
666C2×C4C2×Q8×D8312yes—
667C2×C4C2×Q8×D8312yes—
668C2×C4#41×D8314yes—
669C2×C4#41×D8312yes—
670C22—22no—
671C22—24no—
672C22—22no—
673C22—24no—
674C22—834no—
675C22—834no—
676C22—16632no—
677C22—1662no—
678C22—1664no—
679C22—1664no—
680C22—1662no—
681C22—1662no—
682C22—1662no—
683C22—1664no—
684C22—1664no—
685C22#1912825714yescomplemented
686C22C22×D4×D8311yescharacteristic
687C22C22×Q8×D8311yescharacteristic
688C22C2×#41×D8311yescharacteristic
689C22C2×#41×D8312yes—
690C22C2×#41×D8312yes—
691C4—22no—
692C4—24no—
693C4—24no—
694C4—44no—
695C4—44no—
696C4—3324no—
697C4—3324no—
698C4—834no—
699C4—838no—
700C4—1662no—
701C4—1664no—
702C4C22⋊Q8×D8314yes—
703C2—24no—
704C2—1664no—
705C2—1664no—
706C2C2×C22⋊Q8×D8311yescharacteristic
707C2#525×D8312yes—
708C2#533×D8311yescharacteristic
709C2C2×#1912825711yescharacteristic
710C2#2492075712yes—
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2851C2
prime radicalC24×D83C23
hypercenter#2851D83
hypocenterC83#36625
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C2×#19128257C2semidirect
3. #24915814C2semidirect
4. #24915813C2semidirect
5. #24915798C2semidirect
6. #24915774C2semidirect
7. #24915773C2semidirect
8. #24915768C2semidirect
10. #24909997C2semidirect
11. #24909995C2semidirect
12. #24909944C2semidirect
13. #24909869C2semidirect
15. C83×#2851C2semidirect
19. C2×#14581791C22semidirect
20. C2×#14581784C22semidirect
24. C2×#14581757C22semidirect
36. #19127605C22semidirect
37. #19127605C22semidirect
38. #19127600C22semidirect
39. #19127599C22semidirect
40. #19127598C22semidirect
41. #19127597C22semidirect
42. #19127596C22semidirect
43. #19127586C22semidirect
44. #19127585C22semidirect
45. #19127582C22semidirect
51. #19127570C22semidirect
52. #19127567C22semidirect
61. C4⋊C4×Dic83C22semidirect
62. #19127552C22semidirect
63. #19127552C22semidirect
66. C2×#125×C83C22semidirect
68. #389×C83C22semidirect
69. #387×C83C22semidirect
71. #382×C83C22semidirect
82. C22×C4×D83Q8semidirect
312. C4×D83C22⋊Q8semidirect
318. C22×C83#533semidirect
334. C2×D83#533semidirect
364. #2851D83semidirect
371. C83#36625semidirect
377. C2×#125C2×D83semidirect
401. #389C2×D83semidirect
405. #387C2×D83semidirect
414. #382C2×D83semidirect
685. C22#19128257semidirect

Maximal subgroups

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

subgroupindex
C2×#191282572
C22×C42×D832
#249158142
#249158132
#249157982
#249157742
#249157732
#249157682
#249157492
#249099972
#249099952
#249099442
#249098692
#249098452
C83×#28512
#3662583