Finite Group Databasebeta

← #28606792

Subgroups — #28606792

Order 15104.

1010 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
1C2×(C22⋊D59)⋊C8C211yesmaximal, characteristic
2C2×#16837438C211yesmaximal, characteristic, complemented
3C2×#106×D59C211yesmaximal, characteristic, complemented
4#21427026C211yesmaximal, characteristic
5#21427018C211yesmaximal, characteristic
6#21424865C211yesmaximal, characteristic, complemented
7#21424863C211yesmaximal, characteristic, complemented
8#21424297C211yesmaximal, characteristic, complemented
9#21424285C211yesmaximal, characteristic, complemented
10#21424282C211yesmaximal, characteristic, complemented
11#21424259C211yesmaximal, characteristic, complemented
12#21424120C211yesmaximal, characteristic, complemented
13#21424119C211yesmaximal, characteristic, complemented
14#21423984C211yesmaximal, characteristic, complemented
15C59×#1854C211yesmaximal, characteristic, complemented
16C23×C59⋊C8C2211yescharacteristic
17C22×C8×D59C2211yescharacteristic
18C2×C4×C22⋊D59C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20C2×C4⋊C4×D59C2211yescharacteristic
21C2×C4⋊C4×D59C2211yescharacteristic
22(C22⋊D59)⋊C8C418yescomplemented
23#16837438—24no—
24C2×#14273661C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273660C2211yescharacteristic
27C2×#14273659C2211yescharacteristic
28C2×#14273658C2211yescharacteristic
29C2×#14273658C2211yescharacteristic
30C2×#14273658C2211yescharacteristic
31C2×#14273658C2211yescharacteristic
32#106×D59—24no—
33C2×Dic59⋊C8C2211yescharacteristic
34C2×(C2×D59)⋊C8C2211yescharacteristic
35C2×C8×Dic59C2211yescharacteristic
36#16837296—21no—
37#16837290—21no—
38#16837286—21no—
39#16837284—21no—
40#16837278—21no—
41#16837278—21no—
42#16837267C2211yescharacteristic
43#16837267C2211yescharacteristic
44#16837262C2211yescharacteristic
45#16837259C2211yescharacteristic
46#16837259C2211yescharacteristic
47C4⋊C4×Dic59C2211yescharacteristic
48C4⋊C4×Dic59C2211yescharacteristic
49C4×(C2×D59)⋊C4—21no—
50#16837249—21no—
51#16837165C2211yescharacteristic
52#16837165C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C2×#117×C59C2211yescharacteristic
56C2×#107×C59C2211yescharacteristic
57C2×#106×C59C2211yescharacteristic
58C2×C22⋊C8×C59C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×C22⋊D59D411yescharacteristic
63C22×C4×D59—21no—
64C22×C4×D59—21no—
65C22×C4×D59C2311yescharacteristic
66C22×C59⋊C8—22no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8C2×C414yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C2×C8×D59—22no—
72C2×C8×D59—22no—
73C2×C8×D59C2×C414yes—
74C4×C22⋊D59C2×C414yes—
75C4×C22⋊D59Q814yes—
76#14273686—22no—
77#14273686—41no—
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4D411yescharacteristic
85C4⋊C4×D59—22no—
86C4⋊C4×D59—22no—
87C4⋊C4×D59—41no—
88C4⋊C4×D59—41no—
89C2×C22⋊Dic59—21no—
90C2×C22⋊Dic59—21no—
91C2×C22⋊Dic59D411yescharacteristic
92C2×(C2×D59)⋊C4—21no—
93C2×(C2×D59)⋊C4—21no—
94C2×(C2×D59)⋊C4D411yescharacteristic
95C2×C4×Dic59—21no—
96C2×C4×Dic59—21no—
97C2×C4×Dic59—21no—
98C2×C4×Dic59C2311yescharacteristic
99#14273661—41no—
100#14273660—22no—
101#14273660—22no—
102#14273659—22no—
103#14273658—22no—
104#14273658—22no—
105#14273658—22no—
106#14273658D414yescomplemented
107Dic59⋊C8C2×C414yescomplemented
108(C2×D59)⋊C8C2×C414yes—
109C8×Dic59C2×C414yescomplemented
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95—21no—
113C59⋊#95—21no—
114C59⋊#95—21no—
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C23×C4×C59C2311yescharacteristic
120C22×C8×C59C2311yescharacteristic
121C22×C8×C59C2311yescharacteristic
122#117×C59—22no—
123#117×C59—41no—
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59—21no—
130C2×C42×C59—21no—
131#107×C59—41no—
132#106×C59—22no—
133C22⋊C8×C59C2×C414yescomplemented
134#95×C59—21no—
135C24×C59C2×D411yescharacteristic
136C23×D59C2×D411yescharacteristic
137C22×C4×C59—21no—
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×C59C22×C412yes—
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×Q812yes—
148C22×C4×C59C2411yescharacteristic
149C2×C22⋊D59—22no—
150C2×C22⋊D59—22no—
151C2×C22⋊D59C4⋊C414yes—
152C22×Dic59—21no—
153C22×Dic59—21no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59C2×D411yescharacteristic
157C22×Dic59C2×D411yescharacteristic
158C22×Dic59C2×D411yescharacteristic
159C2×C4×D59—21no—
160C2×C4×D59—21no—
161C2×C4×D59—21no—
162C2×C4×D59—21no—
163C2×C4×D59—42no—
164C2×C4×D59—42no—
165C2×C4×D59—42no—
166C2×C4×D59—42no—
167C2×C4×D59—81no—
168C2×C4×D59—81no—
169C2×C4×D59C22×C412yes—
170C2×C4×D59C2×Q812yes—
171C2×C8×C59—21no—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59C22×C412yes—
176C2×C8×C59C22×C412yes—
177C4⋊C4×C59—21no—
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×C59C2×D412yes—
185C22⋊C4×C59—42no—
186C22⋊C4×C59—81no—
187C42×C59—42no—
188C22⋊Dic59—42no—
189C22⋊Dic59—81no—
190C22⋊Dic59C4⋊C414yes—
191(C2×D59)⋊C4—42no—
192(C2×D59)⋊C4—42no—
193(C2×D59)⋊C4C4⋊C414yes—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59C2×D412yes—
202Dic59⋊C4—42no—
203Dic59⋊C4—42no—
204Dic59⋊C4C4⋊C414yes—
205C4×Dic59—42no—
206C4×Dic59—81no—
207C4×Dic59—81no—
208C4×Dic59C22×C412yes—
209C4×Dic59C2×Q812yes—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—28no—
213C2×C59⋊C8C22×C412yes—
214C2×C59⋊C8C22×C412yes—
215C2×C59⋊C8C2×D412yes—
216C2×C59⋊C8#4112yes—
217C8×D59—28no—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59C2×C4⋊C412yes—
225C23×C59C22×D411yescharacteristic
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59—21no—
230C22×D59C2×C4⋊C412yes—
231C22×D59#13512yes—
232C22×D59#13512yes—
233C2×C4×C59—21no—
234C2×C4×C59—21no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—22no—
238C2×C4×C59—22no—
239C2×C4×C59—22no—
240C2×C4×C59—41no—
241C2×C4×C59—41no—
242C2×C4×C59—41no—
243C2×C4×C59—41no—
244C2×C4×C59—41no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59C2×C4⋊C412yes—
252C2×C4×C59C23×C411yescharacteristic
253C2×C4×C59C22×D411yescharacteristic
254C2×C4×C59C22×Q811yescharacteristic
255C2×C4×C59C2×#4111yescharacteristic
256C2×C4×C59H(5,𝔽2)11yescharacteristic
257C2×C4×C592−1+411yescharacteristic
258C22⋊D59—28no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—21no—
262C2×Dic59—21no—
263C2×Dic59—21no—
264C2×Dic59—21no—
265C2×Dic59—22no—
266C2×Dic59—41no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59C2×C4⋊C412yes—
278C2×Dic59C2×C4⋊C412yes—
279C2×Dic59C2×C4⋊C412yes—
280C4×D59—22no—
281C4×D59—22no—
282C4×D59—22no—
283C4×D59—22no—
284C4×D59—84no—
285C4×D59—84no—
286C8×C59—22no—
287C8×C59—22no—
288C59⋊C8—22no—
289C59⋊C8C4×D414yes—
290#22654—591nomaximal, Sylow
291C22×C59—22no—
292C22×C59—22no—
293C22×C59—22no—
294C22×C59—41no—
295C22×C59—41no—
296C22×C59—41no—
297C22×C59—41no—
298C22×C59C22×C4⋊C411yescharacteristic
299C22×C59D4211yescharacteristic
300C22×C59#54711yescharacteristic
301C22×C59C2×#13511yescharacteristic
302C22×C59C2×#13511yescharacteristic
303C22×C59#57711yescharacteristic
304C22×C59#57711yescharacteristic
305C2×D59—22no—
306C2×D59—22no—
307C2×D59—22no—
308C2×D59—22no—
309C2×D59—22no—
310C2×D59—22no—
311C2×D59#42714yescomplemented
312C4×C59—22no—
313C4×C59—42no—
314C4×C59—81no—
315C4×C59—81no—
316C4×C59—81no—
317C4×C59C2×C4×D411yescharacteristic
318C4×C59#52011yescharacteristic
319C4×C59D4×Q811yescharacteristic
320C4×C59#55411yescharacteristic
321Dic59—22no—
322Dic59—22no—
323Dic59—22no—
324Dic59—42no—
325Dic59—81no—
326Dic59—81no—
327Dic59—81no—
328C2×C8×D4—591no—
329C2×#427—591no—
330C22×#106—591no—
331#2352—591no—
332#2352—591no—
333#1949—591no—
334#1949—591no—
335#1854—591no—
336#1854D5911yescharacteristic, complemented
337#1852—591no—
338#1852—591no—
339#1846—591no—
340#1807—591no—
341#1807—591no—
342C4×#106—591no—
343C2×C59—42no—
344C2×C59D4×C4⋊C411yescharacteristic
345C2×C59C2×#42711yescharacteristic
346C2×C59#291211yescharacteristic
347C2×C59#328211yescharacteristic
348C2×C59#328211yescharacteristic
349C2×C59#333711yescharacteristic
350C2×C59#333711yescharacteristic
351D59—24no—
352C23×C8—591no—
353C23×C8—591no—
354C2×C4×D4—591no—
355C2×#117—591no—
356C2×#117C2×D5911yescharacteristic
357C22×C4⋊C4—591no—
358C22×C4⋊C4—591no—
359C8×D4—598no—
360#427—1184no—
361C2×#107—591no—
362C2×#107—591no—
363C2×#107—591no—
364C2×#107C2×D5911yescharacteristic
365C2×#106—591no—
366C2×#106—591no—
367C2×#106—591no—
368C2×#106—591no—
369C2×#106—591no—
370C2×#106—1184no—
371C2×#106C2×D5911yescharacteristic
372C2×C4⋊C8—591no—
373C2×C22⋊C8—591no—
374C2×C22⋊C8C2×D5911yescharacteristic
375C2×C4×C8—591no—
376#388—1181no—
377#388—1181no—
378#387—1181no—
379#387—1181no—
380#386—1181no—
381#386—1181no—
382#382—591no—
383#382—591no—
384#380—591no—
385#380—591no—
386#380—591no—
387#380C2×D5911yescharacteristic
388C4×C4⋊C4—591no—
389C4×C4⋊C4—591no—
390C4×C22⋊C4—1181no—
391C4×C22⋊C4—1181no—
392#340—591no—
393#340—591no—
394#340—591no—
395#340—591no—
396#340C2×D5911yescharacteristic
397#340C2×D5911yescharacteristic
398C59#2265411yescharacteristic, complemented, Sylow
399C22×D4—591no—
400C23×C4—591no—
401C23×C4—1181no—
402C23×C4—1181no—
403C23×C4C22×D5911yescharacteristic
404C22×C8—591no—
405C22×C8—594no—
406C22×C8—591no—
407C22×C8—594no—
408C22×C8—1182no—
409C22×C8—1182no—
410C22×C8—1182no—
411C22×C8—1182no—
412C22×C8C22×D5911yescharacteristic
413C22×C8C22×D5911yescharacteristic
414C4×D4—594no—
415C4×D4—594no—
416#117—22no—
417#117—41no—
418#117—1182no—
419#117—2361no—
420C2×C4⋊C4—591no—
421C2×C4⋊C4—591no—
422C2×C4⋊C4—591no—
423C2×C4⋊C4—591no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—1182no—
426C2×C4⋊C4—1182no—
427C2×C4⋊C4—1181no—
428C2×C4⋊C4—1181no—
429C2×C4⋊C4—2361no—
430C2×C4⋊C4—2361no—
431C2×C4⋊C4C22×D5911yescharacteristic
432C2×C4⋊C4C22×D5911yescharacteristic
433C2×C4⋊C4C22×D5911yescharacteristic
434C2×C4⋊C4C22×D5911yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—591no—
438C2×C22⋊C4—591no—
439C2×C22⋊C4—1181no—
440C2×C22⋊C4—1181no—
441C2×C22⋊C4—1181no—
442C2×C22⋊C4—1181no—
443C2×C42—21no—
444C2×C42—591no—
445C2×C42—1181no—
446C2×C42—1181no—
447C2×C42—1181no—
448#107—41no—
449#107—1182no—
450#107—1182no—
451#107—2361no—
452#106—22no—
453#106—594no—
454#106—1182no—
455#106—1182no—
456#106—1182no—
457#106—1182no—
458C4⋊C8—594no—
459C22⋊C8—594no—
460C22⋊C8C4×D5914yescomplemented
461C4×C8—594no—
462#95—21no—
463#95—1181no—
464#95—1181no—
465#95—1181no—
466#95—1181no—
467#95—1181no—
468#95—1181no—
469#95—1181no—
470#95—1181no—
471#95—1181no—
472C24—591no—
473C24D4×D5911yescharacteristic
474C2×D4—594no—
475C2×D4—1182no—
476C2×D4—1182no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—591no—
486C22×C4—591no—
487C22×C4—591no—
488C22×C4—592no—
489C22×C4—592no—
490C22×C4—1181no—
491C22×C4—1181no—
492C22×C4—1181no—
493C22×C4—1181no—
494C22×C4—1181no—
495C22×C4—1181no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—4721no—
499C22×C4—4721no—
500C22×C4—2362no—
501C22×C4—2362no—
502C22×C4—2362no—
503C22×C4—2362no—
504C22×C4C2×C4×D5912yes—
505C22×C4D4×D5911yescharacteristic
506C22×C4Q8×D5912yes—
507C22×C4C23×D5911yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—592no—
513C2×C8—592no—
514C2×C8—592no—
515C2×C8—592no—
516C2×C8—1188no—
517C2×C8—1188no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8C2×C4×D5912yes—
521C2×C8C2×C4×D5912yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—594no—
530C4⋊C4—592no—
531C4⋊C4—1181no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C4⋊C4—1181no—
535C4⋊C4—1181no—
536C4⋊C4—1181no—
537C4⋊C4—1181no—
538C4⋊C4—2362no—
539C4⋊C4—2362no—
540C4⋊C4D4×D5912yes—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—594no—
544C22⋊C4—594no—
545C22⋊C4—4721no—
546C22⋊C4—2362no—
547C22⋊C4—2362no—
548C22⋊C4—2362no—
549C42—42no—
550C42—592no—
551C42—592no—
552C42—4721no—
553C42—4721no—
554C42—2362no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—592no—
562C23—592no—
563C23—592no—
564C23—1181no—
565C23—1181no—
566C23—1181no—
567C23—1181no—
568C23C4⋊C4×D5912yes—
569C23C2×D4×D5911yescharacteristic
570D4—1188no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—592no—
590C2×C4—592no—
591C2×C4—592no—
592C2×C4—1181no—
593C2×C4—1181no—
594C2×C4—1181no—
595C2×C4—1181no—
596C2×C4—1181no—
597C2×C4—1181no—
598C2×C4—1182no—
599C2×C4—1182no—
600C2×C4—1182no—
601C2×C4—1182no—
602C2×C4—1182no—
603C2×C4—4724no—
604C2×C4—4724no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4—2361no—
616C2×C4C4⋊C4×D5912yes—
617C2×C4C22×C4×D5911yescharacteristic
618C2×C4C2×D4×D5911yescharacteristic
619C2×C4C2×Q8×D5911yescharacteristic
620C2×C4#41×D5911yescharacteristic
621C2×C4#1427377211yescharacteristic
622C2×C4#1427377411yescharacteristic
623C8—22no—
624C8—22no—
625C8—594no—
626C8—1182no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—594no—
635C22—1182no—
636C22—1182no—
637C22—1182no—
638C22—1182no—
639C22—1182no—
640C22—1182no—
641C22C2×C4⋊C4×D5911yescharacteristic
642C22#1683803411yescharacteristic
643C22#1683805011yescharacteristic
644C22#135×D5911yescharacteristic
645C22#135×D5911yescharacteristic
646C22#1683821111yescharacteristic
647C22#1683821211yescharacteristic
648C4—22no—
649C4—42no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—1182no—
654C4—1182no—
655C4—1182no—
656C4—4721no—
657C4—4721no—
658C4—4721no—
659C4—2362no—
660C4C4×D4×D5911yescharacteristic
661C4#1683788111yescharacteristic
662C4#1683806511yescharacteristic
663C4#1683810611yescharacteristic
664C2—42no—
665C2—1184no—
666C2#2142699411yescharacteristic
667C2#427×D5911yescharacteristic
668C2#2143269011yescharacteristic
669C2#2143580111yescharacteristic
670C2#2143580611yescharacteristic
671C2#2143646811yescharacteristic
672C2#2143647811yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1854C2
socleC23×C59C22×D4
prime radicalC22×C22⋊D59D4
cosocleC22×C4×C59C24
hypercenter#1854D59
hypocenterC59#22654
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
2. C2×#16837438C2semidirect
3. C2×#106×D59C2semidirect
6. #21424865C2semidirect
7. #21424863C2semidirect
8. #21424297C2semidirect
9. #21424285C2semidirect
10. #21424282C2semidirect
11. #21424259C2semidirect
12. #21424120C2semidirect
13. #21424119C2semidirect
14. #21423984C2semidirect
15. C59×#1854C2semidirect
22. (C22⋊D59)⋊C8C4semidirect
68. C22×C59⋊C8C2×C4semidirect
106. #14273658D4semidirect
107. Dic59⋊C8C2×C4semidirect
109. C8×Dic59C2×C4semidirect
133. C22⋊C8×C59C2×C4semidirect
311. C2×D59#427semidirect
336. #1854D59semidirect
398. C59#22654semidirect
460. C22⋊C8C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×(C22⋊D59)⋊C82
C2×#168374382
C2×#106×D592
#214270262
#214270182
#214248652
#214248632
#214242972
#214242852
#214242822
#214242592
#214241202
#214241192
#214239842
C59×#18542
#2265459