Finite Group Databasebeta

← #28625722

Subgroups — #28625722

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
1C22×#14273706C211yesmaximal, characteristic, complemented
2C2×#16837629C212yesmaximal, complemented
3C2×#16837540C211yesmaximal, characteristic, complemented
4C22×C22⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
5#21425292C212yesmaximal, complemented
6#21425099C212yesmaximal, complemented
7#21424517C212yesmaximal, complemented
8#21424414C211yesmaximal, characteristic, complemented
9#21424288C211yesmaximal, characteristic, complemented
10#21424030C211yesmaximal, characteristic, complemented
11C59×#2847C211yesmaximal, characteristic
12C23×Dic118C2211yescharacteristic
13C22×#11745670C2212yescomplemented
14C23×C59⋊C8C2212yes—
15C2×#14273706—28no—
16C2×#14273706—21no—
17C2×#14273706—21no—
18C2×#14273706C2212yes—
19C2×#14273706C2212yes—
20C22×C4⋊Dic59C2211yescharacteristic
21C22×Dic59⋊C4—21no—
22C22×C22⋊Dic59—21no—
23#16837629—28no—
24#16837540—24no—
25C2×#14273658C2212yescomplemented
26C2×#14273650C2212yescomplemented
27C2×#14273650C2212yescomplemented
28C2×#14273650C2212yescomplemented
29C2×#14273648C2212yescomplemented
30C2×C22⋊(C59⋊C8)—24no—
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2212yes—
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34#16837164C2212yescomplemented
35#16837164C2212yescomplemented
36C24×C4×C59C2211yescharacteristic
37C2×#121×C59C2211yescharacteristic
38C2×#121×C59C2211yescharacteristic
39C2×#121×C59C2211yescharacteristic
40C2×#120×C59—21no—
41C59×#386—21no—
42C59×#386—21no—
43C59×#386—21no—
44C59×#380C2211yescharacteristic
45C59×#380C2211yescharacteristic
46C59×#380C2211yescharacteristic
47C22×Dic118—21no—
48C22×Dic118—24no—
49C22×Dic118—22no—
50C22×Dic118—22no—
51C22×Dic118—42no—
52C22×Dic118C2312yes—
53C23×Dic59—21no—
54C23×Dic59—21no—
55C2×#11745670—24no—
56C2×#11745670—24no—
57C2×#11745670—42no—
58C22×C59⋊C8—24no—
59C22×C59⋊C8—24no—
60C22×C59⋊C8—42no—
61C22×C59⋊C8C2312yes—
62C22×C59⋊C8C2312yes—
63#14273706—28no—
64#14273706—28no—
65#14273706—24no—
66#14273706—24no—
67#14273706—24no—
68#14273706D418yescomplemented
69C2×C4⋊Dic59—21no—
70C2×C4⋊Dic59—24no—
71C2×C4⋊Dic59C2312yes—
72C2×Dic59⋊C4—28no—
73C2×Dic59⋊C4—22no—
74C2×Dic59⋊C4—22no—
75C2×C22⋊Dic59—28no—
76C2×C22⋊Dic59—22no—
77C2×C22⋊Dic59—22no—
78#14273658—24no—
79#14273650—24no—
80#14273650—24no—
81#14273650—42no—
82#14273648—24no—
83C22⋊(C59⋊C8)—22no—
84C22⋊(C59⋊C8)—24no—
85C22⋊(C59⋊C8)D414yescomplemented
86C25×C59D411yescharacteristic
87C22×D4×C59—21no—
88C22×D4×C59—21no—
89C22×D4×C59—21no—
90C22×D4×C59C2311yescharacteristic
91C23×C4×C59—24no—
92C23×C4×C59—22no—
93C23×C4×C59—22no—
94C23×C4×C59—42no—
95C23×C4×C59D411yescharacteristic
96C23×C4×C59D411yescharacteristic
97C23×C4×C59D411yescharacteristic
98C23×C4×C59C2311yescharacteristic
99C23×C4×C59C2311yescharacteristic
100C23×C4×C59C2311yescharacteristic
101#121×C59—22no—
102#121×C59—24no—
103#121×C59—22no—
104#121×C59—42no—
105#120×C59—44no—
106C2×C4⋊C4×C59C2311yescharacteristic
107C2×C4⋊C4×C59C2311yescharacteristic
108C2×C4⋊C4×C59C2311yescharacteristic
109C2×C22⋊C4×C59—21no—
110C2×C22⋊C4×C59—21no—
111C2×C22⋊C4×C59—21no—
112C2×C22⋊C4×C59—21no—
113C2×C22⋊C4×C59—21no—
114C2×C22⋊C4×C59—21no—
115#95×C59—21no—
116#95×C59—21no—
117#95×C59—21no—
118C24×C59—22no—
119C24×C59—22no—
120C24×C59—22no—
121C24×C59—22no—
122C24×C59—21no—
123C24×C59—41no—
124C24×C59—41no—
125C24×C59SD1614yescomplemented
126C24×C59C2×D411yescharacteristic
127C24×C59C2×D411yescharacteristic
128C24×C59C2×D411yescharacteristic
129C2×D4×C59—22no—
130C2×D4×C59—21no—
131C2×D4×C59—21no—
132C2×D4×C59—22no—
133C2×D4×C59—42no—
134C2×D4×C59—42no—
135C2×D4×C59—42no—
136C2×D4×C59—42no—
137C2×D4×C59—42no—
138C2×D4×C59—42no—
139C2×D4×C59—42no—
140C2×D4×C59—42no—
141C2×D4×C59—42no—
142C22×C4×C59—22no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—22no—
146C22×C4×C59—22no—
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—21no—
154C22×C4×C59—22no—
155C22×C4×C59—21no—
156C22×C4×C59—22no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—41no—
161C22×C4×C59—41no—
162C22×C4×C59—41no—
163C22×C4×C59—48no—
164C22×C4×C59—48no—
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D414yes—
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D412yes—
170C22×C4×C59#4112yes—
171C22×C4×C59C2411yescharacteristic
172C22×Dic59—24no—
173C22×Dic59—24no—
174C22×Dic59—22no—
175C22×Dic59—22no—
176C22×Dic59—42no—
177C22×Dic59—42no—
178C22×Dic59—42no—
179C22×Dic59—42no—
180C2×Dic118—22no—
181C2×Dic118—22no—
182C2×Dic118—22no—
183C2×Dic118—22no—
184C2×Dic118—24no—
185C2×Dic118—22no—
186C2×Dic118—48no—
187C2×Dic118—48no—
188C2×Dic118—42no—
189C2×Dic118—42no—
190C2×Dic118C2×D414yes—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—22no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—22no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—42no—
197C22⋊C4×C59—42no—
198C22⋊C4×C59—42no—
199C22⋊C4×C59—42no—
200C22⋊C4×C59—42no—
201C22⋊Dic59—28no—
202C22⋊Dic59—28no—
203#11745670—48no—
204C4⋊Dic59—24no—
205C4⋊Dic59—22no—
206C4⋊Dic59C2×D414yes—
207Dic59⋊C4—28no—
208Dic59⋊C4—28no—
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—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59#12012yes—
245C23×C59#12112yes—
246C23×C59C2×SD1612yes—
247C23×C59C2×SD1612yes—
248C23×C59C2×SD1612yes—
249C23×C59#13512yes—
250C23×C59#13712yes—
251C23×C59C22×D411yescharacteristic
252D4×C59—42no—
253D4×C59—42no—
254D4×C59—84no—
255D4×C59—84no—
256D4×C59—84no—
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—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—44no—
269C2×C4×C59—44no—
270C2×C4×C59—44no—
271C2×C4×C59—42no—
272C2×C4×C59—42no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59—41no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59#12012yes—
283C2×C4×C59#12112yes—
284C2×C4×C59C22×D411yescharacteristic
285C2×C4×C59C22×D412yes—
286C2×C4×C59C2×#4111yescharacteristic
287C2×C4×C59H(5,𝔽2)12yes—
288C2×Dic59—24no—
289C2×Dic59—24no—
290C2×Dic59—48no—
291C2×Dic59—48no—
292C2×Dic59—42no—
293C2×Dic59—42no—
294C2×Dic59—42no—
295C2×Dic59—42no—
296Dic118—24no—
297Dic118—24no—
298Dic118—48no—
299Dic118—42no—
300Dic118—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—81no—
325C22×C59—81no—
326C22×C59—81no—
327C22×C59—81no—
328C22×C59—81no—
329C22×C59—81no—
330C22×C59—81no—
331C22×C59#44814yescomplemented
332C22×C59#46514yescomplemented
333C22×C59C2×#12011yescharacteristic
334C22×C59C2×#12111yescharacteristic
335C22×C59#53411yescharacteristic
336C22×C59C22×SD1611yescharacteristic
337C22×C59C2×#13511yescharacteristic
338C22×C59C2×#13711yescharacteristic
339C22×C59#57511yescharacteristic
340C4×C59—22no—
341C4×C59—22no—
342C4×C59—41no—
343C4×C59—81no—
344C4×C59—81no—
345C4×C59—81no—
346C4×C59D4212yes—
347C4×C59#54612yes—
348Dic59—44no—
349Dic59—44no—
350C22×C22⋊Q8—591no—
351C2×#465—592no—
352C2×#448—591no—
353C22×C22⋊C8—591no—
354#2847D5911yescharacteristic
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—161no—
365C2×C59#241011yescharacteristic
366C2×C59C2×#44811yescharacteristic
367C2×C59#300211yescharacteristic
368C2×C59C2×#46511yescharacteristic
369C2×C59#305611yescharacteristic
370C2×C59#318711yescharacteristic
371C2×C59#319011yescharacteristic
372C23×Q8—591no—
373C24×C4C2×D5911yescharacteristic
374C22×SD16—592no—
375C23×C8—592no—
376C2×C22⋊Q8—592no—
377C2×C22⋊Q8—592no—
378C2×C22⋊Q8—1188no—
379C2×C22⋊Q8—1181no—
380C2×C22⋊Q8—1181no—
381C2×#121C2×D5911yescharacteristic
382C2×#121C2×D5911yescharacteristic
383C2×#121C2×D5911yescharacteristic
384C2×#120—21no—
385C22×C4⋊C4—591no—
386C22×C4⋊C4—1181no—
387C22×C22⋊C4—1181no—
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—21no—
400#386—21no—
401#386—21no—
402#380C2×D5911yescharacteristic
403#380C2×D5911yescharacteristic
404#380C2×D5911yescharacteristic
405#340—592no—
406#340—592no—
407C59#2438111yescharacteristic, complemented, Sylow
408C25C22⋊D5911yescharacteristic
409C22×Q8—592no—
410C22×Q8—1184no—
411C22×Q8—1181no—
412C22×Q8—1182no—
413C22×Q8—1182no—
414C22×Q8—2362no—
415C22×D4—21no—
416C22×D4—21no—
417C22×D4—21no—
418C22×D4C22×D5911yescharacteristic
419C23×C4—24no—
420C23×C4—22no—
421C23×C4—22no—
422C23×C4—42no—
423C23×C4—1181no—
424C23×C4—1181no—
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—598no—
440C22⋊Q8—1184no—
441C22⋊Q8—1184no—
442C22⋊Q8—1188no—
443C22⋊Q8—1188no—
444C22⋊Q8—1184no—
445#121—22no—
446#121—24no—
447#121—22no—
448#121—42no—
449#120—44no—
450C2×C4⋊C4—592no—
451C2×C4⋊C4—1184no—
452C2×C4⋊C4—1188no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4—1182no—
455C2×C4⋊C4—1182no—
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C4⋊C4C22×D5911yescharacteristic
458C2×C4⋊C4C22×D5911yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—1188no—
466C2×C22⋊C4—1182no—
467C2×C22⋊C4—1182no—
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—21no—
477#95—21no—
478#95—21no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—21no—
484C24—41no—
485C24—41no—
486C24#1174567014yescomplemented
487C24C2×C22⋊D5911yescharacteristic
488C24C2×C22⋊D5911yescharacteristic
489C24C2×C22⋊D5911yescharacteristic
490C2×Q8—594no—
491C2×Q8—1184no—
492C2×Q8—1182no—
493C2×Q8—1182no—
494C2×Q8—1182no—
495C2×Q8—1182no—
496C2×Q8—1182no—
497C2×Q8—2368no—
498C2×Q8—2368no—
499C2×Q8—2362no—
500C2×Q8—2362no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—22no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—42no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—1184no—
538C22×C4—1184no—
539C22×C4—1182no—
540C22×C4—1182no—
541C22×C4—2362no—
542C22×C4—2362no—
543C22×C4—2362no—
544C22×C4—2362no—
545C22×C4D4×D5914yes—
546C22×C4D4×D5912yes—
547C22×C4#1174568712yes—
548C22×C4C2×C22⋊D5911yescharacteristic
549C22×C4C2×C22⋊D5911yescharacteristic
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—21no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—22no—
564C4⋊C4—594no—
565C4⋊C4—1188no—
566C4⋊C4—1184no—
567C4⋊C4—1188no—
568C4⋊C4—1182no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—1188no—
576C22⋊C4—1188no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—28no—
591C23—28no—
592C23—21no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#1427369512yes—
606C23#1427369912yes—
607C23C2×#1174567012yes—
608C23C2×#1174567012yes—
609C23C2×#1174567012yes—
610C23#1427374712yes—
611C23#1427375712yes—
612C23C22×C22⋊D5911yescharacteristic
613Q8—1184no—
614Q8—1184no—
615Q8—2368no—
616Q8—2362no—
617Q8—2362no—
618D4—42no—
619D4—42no—
620D4—84no—
621D4—84no—
622D4—84no—
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—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—1184no—
649C2×C4—1184no—
650C2×C4—2368no—
651C2×C4—2368no—
652C2×C4—2362no—
653C2×C4—2362no—
654C2×C4—2362no—
655C2×C4—2362no—
656C2×C4#1427369512yes—
657C2×C4#1427369912yes—
658C2×C4C2×D4×D5911yescharacteristic
659C2×C4C2×D4×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—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22#1683754014yescomplemented
692C22#1683762914yescomplemented
693C22C2×#1427369511yescharacteristic
694C22C2×#1427369911yescharacteristic
695C22#1683796111yescharacteristic
696C22C22×#1174567011yescharacteristic
697C22C2×#1427374711yescharacteristic
698C22C2×#1427375711yescharacteristic
699C22#1683820011yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—81no—
706C4—2364no—
707C4—2364no—
708C4#1683803412yes—
709C4#1683803912yes—
710C2—24no—
711C2—24no—
712C2—42no—
713C2—161no—
714C2#2142747111yescharacteristic
715C2C2×#1683754011yescharacteristic
716C2#2143331211yescharacteristic
717C2C2×#1683762911yescharacteristic
718C2#2143372811yescharacteristic
719C2#2143485311yescharacteristic
720C2#2143487311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
Fitting, prime radicalC59×#2847C2
socleC23×C59C22×D4
hypercenter#2847D59
hypocenterC59#24381
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C24×C4 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C22×#14273706C2semidirect
2. C2×#16837629C2semidirect
3. C2×#16837540C2semidirect
4. C22×C22⋊(C59⋊C8)C2semidirect
5. #21425292C2semidirect
6. #21425099C2semidirect
7. #21424517C2semidirect
8. #21424414C2semidirect
9. #21424288C2semidirect
10. #21424030C2semidirect
13. C22×#11745670C22semidirect
25. C2×#14273658C22semidirect
26. C2×#14273650C22semidirect
27. C2×#14273650C22semidirect
28. C2×#14273650C22semidirect
29. C2×#14273648C22semidirect
34. #16837164C22semidirect
35. #16837164C22semidirect
68. #14273706D4semidirect
85. C22⋊(C59⋊C8)D4semidirect
125. C24×C59SD16semidirect
331. C22×C59#448semidirect
332. C22×C59#465semidirect
407. C59#24381semidirect
486. C24#11745670semidirect
691. C22#16837540semidirect
692. C22#16837629semidirect

Maximal subgroups

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

subgroupindex
C22×#142737062
C2×#168376292
C2×#168375402
C22×C22⋊(C59⋊C8)2
#214252922
#214250992
#214245172
#214244142
#214242882
#214240302
C59×#28472
#2438159