Finite Group Databasebeta

← #28638850

Subgroups — #28638850

Order 15104.

914 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837699C211yesmaximal, characteristic, complemented
2C2×D4×C59⋊C8C211yesmaximal, characteristic, complemented
3#21428997C211yesmaximal, characteristic
4#21425532C211yesmaximal, characteristic, complemented
5#21425527C211yesmaximal, characteristic, complemented
6#21425285C211yesmaximal, characteristic, complemented
7#21425278C211yesmaximal, characteristic, complemented
8#21425062C211yesmaximal, characteristic, complemented
9#21424864C211yesmaximal, characteristic, complemented
10#21424522C211yesmaximal, characteristic, complemented
11#21424522C211yesmaximal, characteristic, complemented
12#21424123C211yesmaximal, characteristic, complemented
13#21424119C211yesmaximal, characteristic, complemented
14C4×#14273647C211yesmaximal, characteristic, complemented
15C59×#2562C211yesmaximal, characteristic, complemented
16C23×C59⋊C8C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×#14273701C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837699—24no—
22D4×C59⋊C8—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273647C2211yescharacteristic
29C2×#14273647C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34C2×C4×C59⋊C8C2211yescharacteristic
35#16837328—21no—
36#16837310—21no—
37#16837278—21no—
38#16837278—21no—
39#16837268C2211yescharacteristic
40#16837262C2211yescharacteristic
41#16837262C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×#125×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C59×#400—21no—
53C59×#394—21no—
54C59×#388—21no—
55C59×#388—21no—
56C59×#380C2211yescharacteristic
57C59×#380C2211yescharacteristic
58C59×#380C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C4×C4⋊C4×C59C2211yescharacteristic
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C22×C22⋊D59—21no—
64C22×C4×D59—21no—
65C22×C59⋊C8—22no—
66C22×C59⋊C8—22no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8—41no—
70C22×C59⋊C8—41no—
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75#14273701—22no—
76#14273701—22no—
77#14273701—41no—
78#14273701—41no—
79C4×D236—22no—
80C4×D236—22no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89#14273660—22no—
90#14273660—41no—
91#14273658—22no—
92#14273658—41no—
93C4⋊(C59⋊C8)D414yescomplemented
94#14273647—22no—
95#14273647—22no—
96#14273647—22no—
97#14273647—22no—
98C22⋊(C59⋊C8)—22no—
99C22⋊(C59⋊C8)—22no—
100C4×C59⋊C8—22no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C22×D4×C59D411yescharacteristic
106C23×C4×C59C2311yescharacteristic
107C23×C4×C59C2311yescharacteristic
108#125×C59—22no—
109#125×C59—22no—
110C4×D4×C59—22no—
111C4×D4×C59—22no—
112C2×C4⋊C4×C59—21no—
113C2×C4⋊C4×C59—21no—
114C2×C4⋊C4×C59D411yescharacteristic
115C2×C4⋊C4×C59C2311yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C22⋊C4×C59—21no—
120C2×C22⋊C4×C59—21no—
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59D411yescharacteristic
124C2×C22⋊C4×C59D411yescharacteristic
125C2×C42×C59—21no—
126C2×C42×C59C2311yescharacteristic
127#95×C59—21no—
128#95×C59—21no—
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132C24×C59C2×D411yescharacteristic
133C24×C59C2×D411yescharacteristic
134C23×D59—21no—
135C2×D4×C59—22no—
136C2×D4×C59—22no—
137C2×D4×C59—22no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2411yescharacteristic
159C2×C22⋊D59—42no—
160C2×C22⋊D59—42no—
161C2×C22⋊D59—42no—
162C2×C22⋊D59—42no—
163C2×C22⋊D59—81no—
164C2×C22⋊D59—81no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236—21no—
171C2×D236—21no—
172C2×D236—21no—
173C2×D236#4112yes—
174C2×C4×D59—42no—
175C2×C4×D59—81no—
176C2×C4×D59—81no—
177C4⋊C4×C59—22no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—42no—
187C4⋊C4×C59—42no—
188C22⋊C4×C59—22no—
189C22⋊C4×C59—22no—
190C22⋊C4×C59—42no—
191C22⋊C4×C59—42no—
192C22⋊C4×C59—81no—
193C22⋊C4×C59—81no—
194C42×C59—81no—
195C42×C59C2×D412yes—
196C42×C59#4112yes—
197C22⋊Dic59—81no—
198C22⋊Dic59—81no—
199(C2×D59)⋊C4—42no—
200(C2×D59)⋊C4—42no—
201(C2×D59)⋊C4—42no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—44no—
218C2×C59⋊C8—44no—
219C2×C59⋊C8C2×D412yes—
220C2×C59⋊C8C2×D412yes—
221C2×C59⋊C8#4112yes—
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—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59#13512yes—
235C23×C59#13512yes—
236C23×C59C22×D411yescharacteristic
237C22×D59—22no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242C22×D59—41no—
243C22×D59—41no—
244D4×C59—28no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59#12112yes—
276C2×C4×C59#12112yes—
277C2×C4×C59C22×D411yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59H(5,𝔽2)11yescharacteristic
282C2×C4×C592−1+411yescharacteristic
283C22⋊D59—84no—
284C22⋊D59—84no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294D236—22no—
295D236—22no—
296D236—41no—
297D236—41no—
298C4×D59—84no—
299C59⋊C8—22no—
300C59⋊C8—22no—
301C59⋊C8—22no—
302C59⋊C8—41no—
303#25342—591nomaximal, Sylow
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59C2×#12111yescharacteristic
319C22×C59#54611yescharacteristic
320C22×C59#54711yescharacteristic
321C22×C59C2×#13511yescharacteristic
322C22×C59C2×#13511yescharacteristic
323C22×C59#57611yescharacteristic
324C22×C59#57711yescharacteristic
325C2×D59—42no—
326C2×D59—42no—
327C2×D59—42no—
328C2×D59—81no—
329C2×D59—81no—
330C2×D59—81no—
331C2×D59—81no—
332C4×C59—22no—
333C4×C59—22no—
334C4×C59—41no—
335C4×C59—41no—
336C4×C59—81no—
337C4×C59—81no—
338C4×C59—81no—
339C4×C59—81no—
340C4×C59#52911yescharacteristic
341C4×C59#54211yescharacteristic
342C4×C59#54611yescharacteristic
343C4×C59#54811yescharacteristic
344Dic59—81no—
345Dic59—81no—
346Dic59—81no—
347C2×#478—591no—
348C2×C8×D4—591no—
349#2562D5911yescharacteristic, complemented
350#2535—591no—
351#2077—591no—
352#2076—591no—
353#2034—591no—
354#2033—591no—
355#1991—591no—
356#1949—591no—
357#1893—591no—
358#1893—591no—
359#1808—591no—
360#1807—591no—
361C4×#102—591no—
362C2×C59—42no—
363C2×C59—42no—
364C2×C59#242711yescharacteristic
365C2×C59#305011yescharacteristic
366C2×C59#306211yescharacteristic
367C2×C59#329611yescharacteristic
368C2×C59#329711yescharacteristic
369C2×C59#333711yescharacteristic
370C2×C59#333911yescharacteristic
371D59—82no—
372C23×C8—591no—
373C23×C8—591no—
374C2×#125C2×D5911yescharacteristic
375C2×#121—591no—
376C2×#121—591no—
377C2×C4×D4—591no—
378C2×C4×D4C2×D5911yescharacteristic
379#478—1184no—
380C8×D4—1184no—
381C2×#107—591no—
382C2×#107—591no—
383C2×#106—591no—
384C2×#106—591no—
385C2×C4⋊C8—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×#102—591no—
390C2×C22⋊C8—591no—
391C2×C22⋊C8—591no—
392C2×C4×C8—591no—
393#400—21no—
394#397—1181no—
395#394—21no—
396#392—1181no—
397#388—21no—
398#388—21no—
399#386—1181no—
400#386—1181no—
401#382—591no—
402#380—591no—
403#380—591no—
404#380C2×D5911yescharacteristic
405#380C2×D5911yescharacteristic
406#380C2×D5911yescharacteristic
407#380C2×D5911yescharacteristic
408C4×C4⋊C4C2×D5911yescharacteristic
409#340—591no—
410#340—591no—
411#340—591no—
412#340—591no—
413#340—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417C59#2534211yescharacteristic, complemented, Sylow
418C22×D4—591no—
419C22×D4—1181no—
420C22×D4—1181no—
421C22×D4C22⋊D5911yescharacteristic
422C23×C4—1181no—
423C23×C4C22×D5911yescharacteristic
424C23×C4C22×D5911yescharacteristic
425C22×C8—591no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—1182no—
430C22×C8—1182no—
431C22×C8—1182no—
432C22×C8—1182no—
433C22×C8—2361no—
434C22×C8—2361no—
435#125—22no—
436#125—22no—
437#121—1182no—
438#121—1182no—
439#121—2361no—
440#121—2361no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—1182no—
444C4×D4—1182no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—591no—
449C2×C4⋊C4—591no—
450C2×C4⋊C4C22⋊D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C4⋊C4C22×D5911yescharacteristic
453C2×C4⋊C4C22×D5911yescharacteristic
454C2×C4⋊C4C22×D5911yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1181no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4—1181no—
463C2×C22⋊C4—1181no—
464C2×C22⋊C4C22⋊D5911yescharacteristic
465C2×C22⋊C4C22⋊D5911yescharacteristic
466C2×C42—21no—
467C2×C42C22×D5911yescharacteristic
468#107—1182no—
469#107—2361no—
470#106—1182no—
471#106—2361no—
472C4⋊C8—594no—
473#102—1182no—
474#102—1182no—
475#102—1182no—
476#102—1182no—
477C22⋊C8—1182no—
478C22⋊C8—1182no—
479C4×C8—1182no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489C24—1181no—
490C24C2×C22⋊D5911yescharacteristic
491C24C2×C22⋊D5911yescharacteristic
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—592no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—1181no—
501C2×D4—4721no—
502C2×D4—4721no—
503C2×D4—2362no—
504C2×D4—2362no—
505C2×D4—2362no—
506C2×D4—2362no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—1181no—
526C22×C4—4721no—
527C22×C4—4721no—
528C22×C4—2362no—
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C23×D5911yescharacteristic
534C2×C8—592no—
535C2×C8—592no—
536C2×C8—592no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—2364no—
547C2×C8—2364no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—81no—
570C22⋊C4—81no—
571C22⋊C4—4721no—
572C22⋊C4—4721no—
573C22⋊C4—2362no—
574C22⋊C4—2362no—
575C22⋊C4—2362no—
576C42—81no—
577C42D4×D5912yes—
578C42#1174568712yes—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—1182no—
592C23—2361no—
593C23—2361no—
594C23—2361no—
595C23—2361no—
596C23—2361no—
597C23—2361no—
598C23#1427374712yes—
599C23#1427374712yes—
600C23C22×C22⋊D5911yescharacteristic
601D4—28no—
602D4—1182no—
603D4—1182no—
604D4—4724no—
605D4—4724no—
606D4—2361no—
607D4—2361no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—4724no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4#1427369912yes—
649C2×C4#1427369912yes—
650C2×C4C2×D4×D5911yescharacteristic
651C2×C4#41×D5911yescharacteristic
652C2×C4#41×D5911yescharacteristic
653C2×C4C2×#1174568711yescharacteristic
654C2×C4#1427377311yescharacteristic
655C2×C4#1427377411yescharacteristic
656C8—1182no—
657C8—1182no—
658C8—1182no—
659C8—2361no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—4721no—
675C22—4721no—
676C22—4721no—
677C22—4721no—
678C22—2362no—
679C22—2362no—
680C22—2362no—
681C22C2×#1427369911yescharacteristic
682C22#1683804011yescharacteristic
683C22#1683805111yescharacteristic
684C22C2×#1427374711yescharacteristic
685C22C2×#1427374711yescharacteristic
686C22#1683820511yescharacteristic
687C22#1683821011yescharacteristic
688C4—22no—
689C4—22no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—81no—
694C4—81no—
695C4—81no—
696C4—4721no—
697C4—4721no—
698C4—4721no—
699C4#1683793111yescharacteristic
700C4#1683802111yescharacteristic
701C4#1683804511yescharacteristic
702C4#1683806011yescharacteristic
703C2—42no—
704C2—42no—
705C2—4722no—
706C2#2142767611yescharacteristic
707C2#2143367411yescharacteristic
708C2#2143377811yescharacteristic
709C2#2143592511yescharacteristic
710C2#2143594011yescharacteristic
711C2#2143647511yescharacteristic
712C2#2143649211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2562C2
socleC23×C59C22×D4
prime radical#21428997C2
hypercenter#2562D59
hypocenterC59#25342
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2562

Complements

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

NH ≅ G/Ntype
1. C2×#16837699C2semidirect
2. C2×D4×C59⋊C8C2semidirect
4. #21425532C2semidirect
5. #21425527C2semidirect
6. #21425285C2semidirect
7. #21425278C2semidirect
8. #21425062C2semidirect
9. #21424864C2semidirect
10. #21424522C2semidirect
11. #21424522C2semidirect
12. #21424123C2semidirect
13. #21424119C2semidirect
14. C4×#14273647C2semidirect
15. C59×#2562C2semidirect
93. C4⋊(C59⋊C8)D4semidirect
349. #2562D59semidirect
417. C59#25342semidirect

Maximal subgroups

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

subgroupindex
C2×#168376992
C2×D4×C59⋊C82
#214289972
#214255322
#214255272
#214252852
#214252782
#214250622
#214248642
#214245222
#214241232
#214241192
C4×#142736472
C59×#25622
#2534259