Finite Group Databasebeta

← #28625721

Subgroups — #28625721

Order 15104.

1658 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837633C212yesmaximal, complemented
2C2×#16837541C211yesmaximal, characteristic, complemented
3C22×C22⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
4#21432378C211yesmaximal, characteristic
5#21425289C212yesmaximal, complemented
6#21425097C212yesmaximal, complemented
7#21424520C212yesmaximal, complemented
8#21424413C211yesmaximal, characteristic, complemented
9#21424289C211yesmaximal, characteristic, complemented
10#21424031C211yesmaximal, characteristic, complemented
11C22×C22⋊Q8×C59C211yesmaximal, characteristic, complemented
12C22×#11745671C2212yescomplemented
13C23×C59⋊C8C2212yes—
14C2×#14273701C2211yescharacteristic
15C2×#14273701C2211yescharacteristic
16C2×#14273701C2211yescharacteristic
17C2×#14273696—21no—
18#16837633—28no—
19#16837541—24no—
20C2×#14273658C2212yescomplemented
21C2×#14273651C2212yescomplemented
22C2×#14273651C2212yescomplemented
23C2×#14273651C2212yescomplemented
24C2×#14273647C2212yescomplemented
25C2×C22⋊(C59⋊C8)—24no—
26C2×C22⋊(C59⋊C8)C2211yescharacteristic
27C2×C22⋊(C59⋊C8)C2212yes—
28C2×C22⋊(C59⋊C8)C2211yescharacteristic
29#16837281—21no—
30#16837281—21no—
31#16837281—21no—
32#16837262C2211yescharacteristic
33#16837262C2211yescharacteristic
34#16837262C2211yescharacteristic
35#16837164C2212yescomplemented
36#16837164C2212yescomplemented
37C23×Q8×C59C2211yescharacteristic
38C24×C4×C59C2211yescharacteristic
39C2×C22⋊Q8×C59—21no—
40C2×C22⋊Q8×C59—21no—
41C2×C22⋊Q8×C59—28no—
42C2×C22⋊Q8×C59C2212yes—
43C2×C22⋊Q8×C59C2212yes—
44C22×C4⋊C4×C59—21no—
45C22×C4⋊C4×C59C2211yescharacteristic
46C22×C22⋊C4×C59—21no—
47C22×D236C2311yescharacteristic
48C22×C22⋊D59—21no—
49C22×C22⋊D59—21no—
50C22×C22⋊D59—21no—
51C2×#11745671—24no—
52C2×#11745671—24no—
53C2×#11745671—42no—
54C22×C59⋊C8—24no—
55C22×C59⋊C8—24no—
56C22×C59⋊C8—42no—
57C22×C59⋊C8C2312yes—
58C22×C59⋊C8C2312yes—
59#14273701—24no—
60#14273701—22no—
61#14273701—22no—
62#14273701—42no—
63#14273696—44no—
64C2×C4⋊Dic59C2311yescharacteristic
65C2×C4⋊Dic59C2311yescharacteristic
66C2×C4⋊Dic59C2311yescharacteristic
67C2×C22⋊Dic59—21no—
68C2×C22⋊Dic59—21no—
69C2×C22⋊Dic59—21no—
70C2×(C2×D59)⋊C4—21no—
71C2×(C2×D59)⋊C4—21no—
72C2×(C2×D59)⋊C4—21no—
73#14273658—24no—
74#14273651—24no—
75#14273651—24no—
76#14273651—42no—
77#14273647—24no—
78C22⋊(C59⋊C8)—22no—
79C22⋊(C59⋊C8)—24no—
80C22⋊(C59⋊C8)D414yescomplemented
81C59⋊#95—21no—
82C59⋊#95—21no—
83C59⋊#95—21no—
84C25×C59D411yescharacteristic
85C22×Q8×C59—24no—
86C22×Q8×C59—21no—
87C22×Q8×C59—22no—
88C22×Q8×C59—22no—
89C22×Q8×C59—42no—
90C22×Q8×C59C2312yes—
91C23×C4×C59—21no—
92C23×C4×C59—21no—
93C23×C4×C59—24no—
94C23×C4×C59—22no—
95C23×C4×C59—22no—
96C23×C4×C59—42no—
97C23×C4×C59D411yescharacteristic
98C23×C4×C59D411yescharacteristic
99C23×C4×C59D411yescharacteristic
100C23×C4×C59C2311yescharacteristic
101C23×C4×C59C2311yescharacteristic
102C23×C4×C59C2311yescharacteristic
103C22⋊Q8×C59—28no—
104C22⋊Q8×C59—28no—
105C22⋊Q8×C59—24no—
106C22⋊Q8×C59—24no—
107C22⋊Q8×C59—24no—
108C22⋊Q8×C59D418yescomplemented
109C2×C4⋊C4×C59—28no—
110C2×C4⋊C4×C59—22no—
111C2×C4⋊C4×C59—22no—
112C2×C4⋊C4×C59—21no—
113C2×C4⋊C4×C59—24no—
114C2×C4⋊C4×C59C2312yes—
115C2×C22⋊C4×C59—28no—
116C2×C22⋊C4×C59—22no—
117C2×C22⋊C4×C59—22no—
118C24×C59—22no—
119C24×C59—22no—
120C24×C59—22no—
121C24×C59—22no—
122C24×C59—41no—
123C24×C59—41no—
124C24×C59SD1614yescomplemented
125C24×C59C2×D411yescharacteristic
126C24×C59C2×D411yescharacteristic
127C24×C59C2×D411yescharacteristic
128C23×D59—21no—
129C2×Q8×C59—24no—
130C2×Q8×C59—22no—
131C2×Q8×C59—22no—
132C2×Q8×C59—22no—
133C2×Q8×C59—22no—
134C2×Q8×C59—22no—
135C2×Q8×C59—48no—
136C2×Q8×C59—48no—
137C2×Q8×C59—42no—
138C2×Q8×C59—42no—
139C2×Q8×C59C2×D414yes—
140C22×C4×C59—22no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—22no—
144C22×C4×C59—22no—
145C22×C4×C59—24no—
146C22×C4×C59—24no—
147C22×C4×C59—22no—
148C22×C4×C59—22no—
149C22×C4×C59—22no—
150C22×C4×C59—22no—
151C22×C4×C59—22no—
152C22×C4×C59—22no—
153C22×C4×C59—22no—
154C22×C4×C59—22no—
155C22×C4×C59—22no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—22no—
159C22×C4×C59—41no—
160C22×C4×C59—41no—
161C22×C4×C59—41no—
162C22×C4×C59—48no—
163C22×C4×C59—48no—
164C22×C4×C59—42no—
165C22×C4×C59—42no—
166C22×C4×C59—42no—
167C22×C4×C59—42no—
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D414yes—
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59C2×D412yes—
173C22×C4×C59#4112yes—
174C22×C4×C59C2411yescharacteristic
175C2×C22⋊D59—42no—
176C2×C22⋊D59—42no—
177C2×C22⋊D59—42no—
178C2×C22⋊D59—42no—
179C2×C22⋊D59—42no—
180C2×C22⋊D59—42no—
181C2×C22⋊D59—42no—
182C2×C22⋊D59—42no—
183C2×C22⋊D59—42no—
184C22×Dic59—21no—
185C22×Dic59—21no—
186C22×Dic59—21no—
187C2×D236—22no—
188C2×D236—21no—
189C2×D236—21no—
190C2×D236—22no—
191C4⋊C4×C59—24no—
192C4⋊C4×C59—28no—
193C4⋊C4×C59—28no—
194C4⋊C4×C59—22no—
195C4⋊C4×C59C2×D414yes—
196C22⋊C4×C59—28no—
197C22⋊C4×C59—28no—
198C22⋊Dic59—42no—
199C22⋊Dic59—42no—
200C22⋊Dic59—42no—
201#11745671—48no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—42no—
204(C2×D59)⋊C4—42no—
205C4⋊Dic59—21no—
206C4⋊Dic59—22no—
207C4⋊Dic59—21no—
208C4⋊Dic59—22no—
209C2×C59⋊C8—22no—
210C2×C59⋊C8—22no—
211C2×C59⋊C8—22no—
212C2×C59⋊C8—22no—
213C2×C59⋊C8—22no—
214C2×C59⋊C8—48no—
215C2×C59⋊C8C2×D414yes—
216C23×C59—21no—
217C23×C59—21no—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—28no—
231C23×C59—28no—
232C23×C59—44no—
233C23×C59—44no—
234C23×C59—44no—
235C23×C59—44no—
236C23×C59—44no—
237C23×C59#12012yes—
238C23×C59#12112yes—
239C23×C59C2×SD1612yes—
240C23×C59C2×SD1612yes—
241C23×C59C2×SD1612yes—
242C23×C59#13512yes—
243C23×C59#13712yes—
244C23×C59C22×D411yescharacteristic
245C22×D59—41no—
246C22×D59—41no—
247C22×D59—41no—
248C22×D59—41no—
249C22×D59—41no—
250C22×D59—41no—
251C22×D59—41no—
252Q8×C59—24no—
253Q8×C59—24no—
254Q8×C59—48no—
255Q8×C59—42no—
256Q8×C59—42no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—24no—
262C2×C4×C59—24no—
263C2×C4×C59—24no—
264C2×C4×C59—24no—
265C2×C4×C59—24no—
266C2×C4×C59—24no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—44no—
271C2×C4×C59—44no—
272C2×C4×C59—44no—
273C2×C4×C59—48no—
274C2×C4×C59—48no—
275C2×C4×C59—42no—
276C2×C4×C59—42no—
277C2×C4×C59—42no—
278C2×C4×C59—42no—
279C2×C4×C59—42no—
280C2×C4×C59—42no—
281C2×C4×C59#12012yes—
282C2×C4×C59#12112yes—
283C2×C4×C59C22×D411yescharacteristic
284C2×C4×C59C22×D412yes—
285C2×C4×C59C2×#4111yescharacteristic
286C2×C4×C59H(5,𝔽2)12yes—
287C22⋊D59—84no—
288C22⋊D59—84no—
289C22⋊D59—84no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299D236—42no—
300D236—42no—
301C59⋊C8—24no—
302C59⋊C8—42no—
303#24381—591nomaximal, Sylow
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—22no—
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—22no—
314C22×C59—22no—
315C22×C59—22no—
316C22×C59—22no—
317C22×C59—22no—
318C22×C59—22no—
319C22×C59—416no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59—41no—
323C22×C59—41no—
324C22×C59#44814yescomplemented
325C22×C59#46514yescomplemented
326C22×C59C2×#12011yescharacteristic
327C22×C59C2×#12111yescharacteristic
328C22×C59#53411yescharacteristic
329C22×C59C22×SD1611yescharacteristic
330C22×C59C2×#13511yescharacteristic
331C22×C59C2×#13711yescharacteristic
332C22×C59#57511yescharacteristic
333C2×D59—81no—
334C2×D59—81no—
335C2×D59—81no—
336C2×D59—81no—
337C2×D59—81no—
338C2×D59—81no—
339C2×D59—81no—
340C4×C59—22no—
341C4×C59—22no—
342C4×C59—41no—
343C4×C59—44no—
344C4×C59—44no—
345C4×C59D4212yes—
346C4×C59#54612yes—
347Dic59—81no—
348Dic59—81no—
349Dic59—81no—
350C22×C22⋊Q8D5911yescharacteristic, complemented
351C2×#465—592no—
352C2×#448—591no—
353C22×C22⋊C8—591no—
354#2847—591no—
355#2035—592no—
356#2000—592no—
357#1892—592no—
358#1874—591no—
359#1853—591no—
360#1787—591no—
361C2×C59—24no—
362C2×C59—24no—
363C2×C59—42no—
364C2×C59#241011yescharacteristic
365C2×C59C2×#44811yescharacteristic
366C2×C59#300211yescharacteristic
367C2×C59C2×#46511yescharacteristic
368C2×C59#305611yescharacteristic
369C2×C59#318711yescharacteristic
370C2×C59#319011yescharacteristic
371D59—161no—
372C23×Q8C2×D5911yescharacteristic
373C24×C4C2×D5911yescharacteristic
374C22×SD16—592no—
375C23×C8—592no—
376C2×C22⋊Q8—21no—
377C2×C22⋊Q8—21no—
378C2×C22⋊Q8—28no—
379C2×C22⋊Q8C2×D5912yes—
380C2×C22⋊Q8C2×D5912yes—
381C2×#121—591no—
382C2×#121—591no—
383C2×#121—591no—
384C2×#120—1181no—
385C22×C4⋊C4—21no—
386C22×C4⋊C4C2×D5911yescharacteristic
387C22×C22⋊C4—21no—
388#465—1188no—
389#448—1184no—
390C2×#106—592no—
391C2×#103—592no—
392C2×#103—592no—
393C2×#103—592no—
394C2×#102—592no—
395C2×C22⋊C8—591no—
396C2×C22⋊C8—591no—
397C2×C22⋊C8—592no—
398C2×C22⋊C8—1184no—
399#386—1181no—
400#386—1181no—
401#386—1181no—
402#380—591no—
403#380—591no—
404#380—591no—
405#340—592no—
406#340—592no—
407C59#2438111yescharacteristic, complemented, Sylow
408C25C22⋊D5911yescharacteristic
409C22×Q8—24no—
410C22×Q8—21no—
411C22×Q8—22no—
412C22×Q8—22no—
413C22×Q8—42no—
414C22×Q8C22×D5912yes—
415C22×D4—591no—
416C22×D4—1181no—
417C22×D4—1181no—
418C22×D4—1181no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—22no—
422C23×C4—22no—
423C23×C4—24no—
424C23×C4—42no—
425C23×C4C22⋊D5911yescharacteristic
426C23×C4C22⋊D5911yescharacteristic
427C23×C4C22⋊D5911yescharacteristic
428C23×C4C22×D5911yescharacteristic
429C23×C4C22×D5911yescharacteristic
430C23×C4C22×D5911yescharacteristic
431C2×SD16—1184no—
432C2×SD16—1184no—
433C2×SD16—2362no—
434C22×C8—592no—
435C22×C8—592no—
436C22×C8—1184no—
437C22×C8—1184no—
438C22×C8—2362no—
439C22⋊Q8—28no—
440C22⋊Q8—28no—
441C22⋊Q8—24no—
442C22⋊Q8—24no—
443C22⋊Q8—24no—
444C22⋊Q8C22⋊D5918yescomplemented
445#121—1182no—
446#121—1182no—
447#121—1184no—
448#121—2362no—
449#120—2364no—
450C2×C4⋊C4—28no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—24no—
455C2×C4⋊C4—591no—
456C2×C4⋊C4—591no—
457C2×C4⋊C4—591no—
458C2×C4⋊C4C22×D5912yes—
459C2×C22⋊C4—28no—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—1181no—
463C2×C22⋊C4—1181no—
464C2×C22⋊C4—1181no—
465C2×C22⋊C4—1181no—
466C2×C22⋊C4—1181no—
467C2×C22⋊C4—1181no—
468#106—1184no—
469#103—1184no—
470#103—1184no—
471#103—2362no—
472#102—1184no—
473C22⋊C8—594no—
474C22⋊C8—1184no—
475C22⋊C8—1182no—
476#95—1181no—
477#95—1181no—
478#95—1181no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—41no—
484C24—41no—
485C24—1181no—
486C24#1174567114yescomplemented
487C24C2×C22⋊D5911yescharacteristic
488C24C2×C22⋊D5911yescharacteristic
489C24C2×C22⋊D5911yescharacteristic
490C2×Q8—24no—
491C2×Q8—22no—
492C2×Q8—22no—
493C2×Q8—22no—
494C2×Q8—22no—
495C2×Q8—22no—
496C2×Q8—48no—
497C2×Q8—48no—
498C2×Q8—42no—
499C2×Q8—42no—
500C2×Q8C2×C22⋊D5914yes—
501C2×D4—1181no—
502C2×D4—1182no—
503C2×D4—1181no—
504C2×D4—1182no—
505C2×D4—2362no—
506C2×D4—2362no—
507C2×D4—2362no—
508C2×D4—2362no—
509C2×D4—2362no—
510C2×D4—2362no—
511C2×D4—2362no—
512C2×D4—2362no—
513C2×D4—2362no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—1181no—
543C22×C4—1181no—
544C22×C4—1181no—
545C22×C4D4×D5912yes—
546C22×C4#1174568712yes—
547C22×C4C2×C22⋊D5911yescharacteristic
548C22×C4C2×C22⋊D5911yescharacteristic
549C22×C4C2×C22⋊D5914yes—
550C22×C4C2×C22⋊D5911yescharacteristic
551C22×C4C23×D5911yescharacteristic
552SD16—2368no—
553C2×C8—594no—
554C2×C8—1182no—
555C2×C8—1182no—
556C2×C8—1182no—
557C2×C8—1182no—
558C2×C8—1182no—
559C2×C8—2368no—
560C4⋊C4—24no—
561C4⋊C4—28no—
562C4⋊C4—28no—
563C4⋊C4—22no—
564C4⋊C4—1181no—
565C4⋊C4—1182no—
566C4⋊C4—1181no—
567C4⋊C4—1182no—
568C4⋊C4C2×C22⋊D5914yes—
569C22⋊C4—28no—
570C22⋊C4—28no—
571C22⋊C4—2362no—
572C22⋊C4—2362no—
573C22⋊C4—2362no—
574C22⋊C4—2362no—
575C22⋊C4—2362no—
576C22⋊C4—2362no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—28no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—28no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—2361no—
599C23—2361no—
600C23—2361no—
601C23—2361no—
602C23—2361no—
603C23—2361no—
604C23—2361no—
605C23#1427369612yes—
606C23#1427369912yes—
607C23C2×#1174567112yes—
608C23C2×#1174567112yes—
609C23C2×#1174567112yes—
610C23#1427374712yes—
611C23#1427375812yes—
612C23C22×C22⋊D5911yescharacteristic
613Q8—24no—
614Q8—24no—
615Q8—48no—
616Q8—42no—
617Q8—42no—
618D4—4724no—
619D4—4724no—
620D4—4724no—
621D4—2362no—
622D4—2362no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—44no—
637C2×C4—44no—
638C2×C4—44no—
639C2×C4—48no—
640C2×C4—48no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4—2361no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4#1427369612yes—
657C2×C4#1427369912yes—
658C2×C4C2×D4×D5911yescharacteristic
659C2×C4C22×C22⋊D5912yes—
660C2×C4C2×#1174568711yescharacteristic
661C2×C4#1427377212yes—
662C8—1184no—
663C8—2362no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—416no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—4721no—
685C22—4721no—
686C22—4721no—
687C22—4721no—
688C22—4721no—
689C22—4721no—
690C22—4721no—
691C22#1683754114yescomplemented
692C22#1683763314yescomplemented
693C22C2×#1427369611yescharacteristic
694C22C2×#1427369911yescharacteristic
695C22#1683796111yescharacteristic
696C22C22×#1174567111yescharacteristic
697C22C2×#1427374711yescharacteristic
698C22C2×#1427375811yescharacteristic
699C22#1683820011yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—44no—
704C4—44no—
705C4—4721no—
706C4—4721no—
707C4—4721no—
708C4D4×C22⋊D5912yes—
709C4#1683804612yes—
710C2—24no—
711C2—24no—
712C2—42no—
713C2—9441no—
714C2#2142747011yescharacteristic
715C2C2×#1683754111yescharacteristic
716C2#2143331411yescharacteristic
717C2C2×#1683763311yescharacteristic
718C2#2143372211yescharacteristic
719C2#2143484911yescharacteristic
720C2#2143487711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC22×C22⋊Q8×C59C2
socleC23×C59C22×D4
prime radical#21432378C2
hypercenterC22×C22⋊Q8D59
hypocenterC59#24381
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C24×C4 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#16837633C2semidirect
2. C2×#16837541C2semidirect
3. C22×C22⋊(C59⋊C8)C2semidirect
5. #21425289C2semidirect
6. #21425097C2semidirect
7. #21424520C2semidirect
8. #21424413C2semidirect
9. #21424289C2semidirect
10. #21424031C2semidirect
11. C22×C22⋊Q8×C59C2semidirect
12. C22×#11745671C22semidirect
20. C2×#14273658C22semidirect
21. C2×#14273651C22semidirect
22. C2×#14273651C22semidirect
23. C2×#14273651C22semidirect
24. C2×#14273647C22semidirect
35. #16837164C22semidirect
36. #16837164C22semidirect
80. C22⋊(C59⋊C8)D4semidirect
108. C22⋊Q8×C59D4semidirect
124. C24×C59SD16semidirect
324. C22×C59#448semidirect
325. C22×C59#465semidirect
350. C22×C22⋊Q8D59semidirect
407. C59#24381semidirect
444. C22⋊Q8C22⋊D59semidirect
486. C24#11745671semidirect
691. C22#16837541semidirect
692. C22#16837633semidirect

Maximal subgroups

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

subgroupindex
C2×#168376332
C2×#168375412
C22×C22⋊(C59⋊C8)2
#214323782
#214252892
#214250972
#214245202
#214244132
#214242892
#214240312
C22×C22⋊Q8×C592
#2438159