Finite Group Databasebeta

← C59×#13891 #28426000

Subgroups — C59×#13891 #28426000

Order 15104.

1746 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#388C212yesmaximal
2C2×C59×#380C211yesmaximal, characteristic
3C2×C4×C4⋊C4×C59C211yesmaximal, characteristic, complemented
4C2×C4×C22⋊C4×C59C211yesmaximal, characteristic
5C59×#1444C212yesmaximal, complemented
6C59×#1439C212yesmaximal
7C59×#1436C212yesmaximal, complemented
8C59×C4⋊#95C211yesmaximal, characteristic, complemented
9C59×#1434C211yesmaximal, characteristic, complemented
10C59×#1434C211yesmaximal, characteristic, complemented
11C59×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C59C2211yescharacteristic
13C22×C4⋊C4×C59C2212yes—
14C22×C4⋊C4×C59C2212yes—
15C22×C4⋊C4×C59C2212yes—
16C22×C22⋊C4×C59C2212yes—
17C22×C22⋊C4×C59C2212yes—
18C22×C22⋊C4×C59C2211yescharacteristic
19C22×C22⋊C4×C59C2211yescharacteristic
20C22×C42×C59C2212yes—
21C22×C42×C59C2211yescharacteristic
22C22×C42×C59C2211yescharacteristic
23C59×#388—28no—
24C59×#380—24no—
25C4×C4⋊C4×C59—24no—
26C4×C22⋊C4×C59C418yescomplemented
27C2×#95×C59C2211yescharacteristic
28C2×#95×C59C2211yescharacteristic
29C2×#95×C59C2212yes—
30C2×#95×C59C2212yes—
31C2×#95×C59C2211yescharacteristic
32C2×#95×C59C2212yes—
33C2×#95×C59C2212yes—
34C2×#95×C59C2212yes—
35C2×#95×C59C2212yes—
36C2×#95×C59C2211yescharacteristic
37C2×#95×C59C2211yescharacteristic
38C2×#95×C59C2211yescharacteristic
39C25×C59C2311yescharacteristic
40C23×C4×C59—22no—
41C23×C4×C59—24no—
42C23×C4×C59—22no—
43C23×C4×C59—42no—
44C23×C4×C59C2×C414yes—
45C23×C4×C59C2312yes—
46C23×C4×C59C2312yes—
47C23×C4×C59C2311yescharacteristic
48C23×C4×C59C2312yes—
49C23×C4×C59C2312yes—
50C23×C4×C59C2311yescharacteristic
51C23×C4×C59C2311yescharacteristic
52C23×C4×C59C2311yescharacteristic
53C23×C4×C59C2311yescharacteristic
54C23×C4×C59C2311yescharacteristic
55C2×C4⋊C4×C59—24no—
56C2×C4⋊C4×C59—24no—
57C2×C4⋊C4×C59—24no—
58C2×C4⋊C4×C59—24no—
59C2×C4⋊C4×C59—24no—
60C2×C4⋊C4×C59—24no—
61C2×C4⋊C4×C59—24no—
62C2×C4⋊C4×C59—42no—
63C2×C4⋊C4×C59—42no—
64C2×C22⋊C4×C59—24no—
65C2×C22⋊C4×C59—24no—
66C2×C22⋊C4×C59—24no—
67C2×C22⋊C4×C59—24no—
68C2×C22⋊C4×C59—24no—
69C2×C22⋊C4×C59—42no—
70C2×C22⋊C4×C59—42no—
71C2×C22⋊C4×C59C2×C414yes—
72C2×C22⋊C4×C59C2×C414yes—
73C2×C22⋊C4×C59D414yes—
74C2×C22⋊C4×C59Q814yes—
75C2×C42×C59—22no—
76C2×C42×C59—22no—
77C2×C42×C59—24no—
78C2×C42×C59—24no—
79C2×C42×C59—42no—
80C2×C42×C59—42no—
81C2×C42×C59C2×C414yes—
82C2×C42×C59C2×C414yes—
83#95×C59—22no—
84#95×C59—22no—
85#95×C59—24no—
86#95×C59—24no—
87#95×C59—24no—
88#95×C59—24no—
89#95×C59—22no—
90#95×C59—42no—
91#95×C59—42no—
92#95×C59C2×C414yes—
93#95×C59C2×C414yes—
94#95×C59D414yes—
95C24×C59—21no—
96C24×C59—22no—
97C24×C59—22no—
98C24×C59—22no—
99C24×C59—21no—
100C24×C59—21no—
101C24×C59—22no—
102C24×C59—21no—
103C24×C59C22×C412yes—
104C24×C59C2×D412yes—
105C24×C59C2×Q812yes—
106C24×C59C2411yescharacteristic
107C22×C4×C59—21no—
108C22×C4×C59—21no—
109C22×C4×C59—21no—
110C22×C4×C59—21no—
111C22×C4×C59—21no—
112C22×C4×C59—22no—
113C22×C4×C59—22no—
114C22×C4×C59—22no—
115C22×C4×C59—21no—
116C22×C4×C59—21no—
117C22×C4×C59—22no—
118C22×C4×C59—22no—
119C22×C4×C59—22no—
120C22×C4×C59—21no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—22no—
125C22×C4×C59—22no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—22no—
130C22×C4×C59—21no—
131C22×C4×C59—22no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—21no—
137C22×C4×C59—28no—
138C22×C4×C59—28no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—22no—
142C22×C4×C59—22no—
143C22×C4×C59—22no—
144C22×C4×C59—22no—
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—44no—
154C22×C4×C59—48no—
155C22×C4×C59—48no—
156C22×C4×C59C22×C412yes—
157C22×C4×C59C22×C412yes—
158C22×C4×C59C22×C412yes—
159C22×C4×C59C22×C412yes—
160C22×C4×C59C22×C412yes—
161C22×C4×C59C22×C412yes—
162C22×C4×C59C2×D414yes—
163C22×C4×C59C2×D412yes—
164C22×C4×C59C2×D412yes—
165C22×C4×C59C2×D412yes—
166C22×C4×C59C2×Q812yes—
167C22×C4×C59C2×Q812yes—
168C22×C4×C59#4114yes—
169C22×C4×C59#4114yes—
170C22×C4×C59#4114yes—
171C22×C4×C59#4112yes—
172C4⋊C4×C59—216no—
173C4⋊C4×C59—48no—
174C4⋊C4×C59—48no—
175C22⋊C4×C59—28no—
176C22⋊C4×C59—48no—
177C22⋊C4×C59—48no—
178C22⋊C4×C59C4⋊C4116yescomplemented
179C42×C59—28no—
180C42×C59—44no—
181C42×C59—48no—
182C23×C59—22no—
183C23×C59—22no—
184C23×C59—22no—
185C23×C59—22no—
186C23×C59—22no—
187C23×C59—22no—
188C23×C59—24no—
189C23×C59—24no—
190C23×C59—22no—
191C23×C59—24no—
192C23×C59—22no—
193C23×C59—22no—
194C23×C59—22no—
195C23×C59—24no—
196C23×C59—42no—
197C23×C59—42no—
198C23×C59—42no—
199C23×C59—42no—
200C23×C59—42no—
201C23×C59—42no—
202C23×C59—42no—
203C23×C59—42no—
204C23×C59C2×C4⋊C414yes—
205C23×C59C23×C411yescharacteristic
206C23×C59C22×D411yescharacteristic
207C23×C59C22×D411yescharacteristic
208C23×C59C22×Q811yescharacteristic
209C23×C59C2×#4112yes—
210C23×C59C2×#4112yes—
211C23×C59C2×#4111yescharacteristic
212C23×C59C2×#4112yes—
213C23×C59H(5,𝔽2)12yes—
214C23×C59H(5,𝔽2)11yescharacteristic
215C23×C592−1+411yescharacteristic
216C2×C4×C59—22no—
217C2×C4×C59—22no—
218C2×C4×C59—22no—
219C2×C4×C59—22no—
220C2×C4×C59—22no—
221C2×C4×C59—22no—
222C2×C4×C59—22no—
223C2×C4×C59—22no—
224C2×C4×C59—22no—
225C2×C4×C59—22no—
226C2×C4×C59—24no—
227C2×C4×C59—24no—
228C2×C4×C59—22no—
229C2×C4×C59—24no—
230C2×C4×C59—24no—
231C2×C4×C59—24no—
232C2×C4×C59—22no—
233C2×C4×C59—22no—
234C2×C4×C59—24no—
235C2×C4×C59—24no—
236C2×C4×C59—22no—
237C2×C4×C59—24no—
238C2×C4×C59—22no—
239C2×C4×C59—22no—
240C2×C4×C59—22no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—24no—
245C2×C4×C59—24no—
246C2×C4×C59—24no—
247C2×C4×C59—416no—
248C2×C4×C59—42no—
249C2×C4×C59—42no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59—42no—
257C2×C4×C59—42no—
258C2×C4×C59—42no—
259C2×C4×C59—42no—
260C2×C4×C59—42no—
261C2×C4×C59—42no—
262C2×C4×C59—42no—
263C2×C4×C59—42no—
264C2×C4×C59—42no—
265C2×C4×C59—42no—
266C2×C4×C59—42no—
267C2×C4×C59—42no—
268C2×C4×C59—42no—
269C2×C4×C59—42no—
270C2×C4×C59—42no—
271C2×C4×C59—42no—
272C2×C4×C59C2×C4⋊C414yes—
273C2×C4×C59C2×C4⋊C414yes—
274C2×C4×C59#11714yes—
275C2×C4×C59#11714yes—
276C2×C4×C59C4×D414yes—
277#13891C5911yesmaximal, characteristic, direct product factor, Sylow
278C22×C59—24no—
279C22×C59—24no—
280C22×C59—24no—
281C22×C59—42no—
282C22×C59—42no—
283C22×C59—42no—
284C22×C59—44no—
285C22×C59—44no—
286C22×C59—44no—
287C22×C59—44no—
288C22×C59—42no—
289C22×C59C22×C4⋊C411yescharacteristic
290C22×C59C2×#11711yescharacteristic
291C22×C59C2×#11711yescharacteristic
292C22×C59C2×C4×D411yescharacteristic
293C22×C59C4×#4111yescharacteristic
294C22×C59#51811yescharacteristic
295C22×C59#52011yescharacteristic
296C22×C59#52512yes—
297C22×C59#52912yes—
298C22×C59#53212yes—
299C22×C59#53312yes—
300C22×C59#54012yes—
301C22×C59#54212yes—
302C22×C59D4211yescharacteristic
303C22×C59#54612yes—
304C22×C59#54612yes—
305C22×C59#54711yescharacteristic
306C22×C59D4×Q811yescharacteristic
307C22×C59#55112yes—
308C22×C59#55312yes—
309C22×C59#55411yescharacteristic
310C22×C59#55412yes—
311C22×C59#55612yes—
312C4×C59—24no—
313C4×C59—24no—
314C4×C59—24no—
315C4×C59—24no—
316C4×C59—24no—
317C4×C59—42no—
318C4×C59—44no—
319C4×C59—44no—
320C4×C59—82no—
321C4×C59—82no—
322C2×#388C2×C5912yes—
323C2×#380C2×C5911yescharacteristic
324C2×C4×C4⋊C4C2×C5911yescharacteristic, complemented
325C2×C4×C22⋊C4C2×C5911yescharacteristic
326#1444C2×C5912yescomplemented
327#1439C2×C5912yes—
328#1436C2×C5912yescomplemented
329C4⋊#95C2×C5911yescharacteristic, complemented
330#1434C2×C5911yescharacteristic, complemented
331#1434C2×C5911yescharacteristic, complemented
332C22⋊#95C2×C5911yescharacteristic
333C2×C59—44no—
334C2×C59#228511yescharacteristic
335C2×C59#229011yescharacteristic
336C2×C59#231911yescharacteristic
337C2×C59#234211yescharacteristic
338C2×C59#234711yescharacteristic
339C2×C59D4×C4⋊C411yescharacteristic
340C2×C59#234911yescharacteristic
341C2×C59#246412yes—
342C2×C59#246512yes—
343C2×C59#252112yes—
344C2×C59#252212yes—
345C24×C4C22×C5911yescharacteristic
346C22×C4⋊C4C22×C5912yes—
347C22×C4⋊C4C22×C5912yes—
348C22×C4⋊C4C22×C5912yes—
349C22×C22⋊C4C22×C5912yes—
350C22×C22⋊C4C22×C5912yes—
351C22×C22⋊C4C22×C5911yescharacteristic
352C22×C22⋊C4C22×C5911yescharacteristic
353C22×C42C22×C5912yes—
354C22×C42C22×C5911yescharacteristic
355C22×C42C22×C5911yescharacteristic
356#388—28no—
357#380—24no—
358C4×C4⋊C4—24no—
359C4×C22⋊C4C4×C5918yescomplemented
360C2×#95C22×C5911yescharacteristic
361C2×#95C22×C5911yescharacteristic
362C2×#95C22×C5912yes—
363C2×#95C22×C5911yescharacteristic
364C2×#95C22×C5912yes—
365C2×#95C22×C5912yes—
366C2×#95C22×C5912yes—
367C2×#95C22×C5912yes—
368C2×#95C22×C5912yes—
369C2×#95C22×C5911yescharacteristic
370C2×#95C22×C5911yescharacteristic
371C2×#95C22×C5911yescharacteristic
372C59#1389111yescharacteristic, direct product factor, Sylow
373C25C23×C5911yescharacteristic
374C23×C4—22no—
375C23×C4—24no—
376C23×C4—22no—
377C23×C4—42no—
378C23×C4C2×C4×C5914yes—
379C23×C4C23×C5912yes—
380C23×C4C23×C5912yes—
381C23×C4C23×C5911yescharacteristic
382C23×C4C23×C5912yes—
383C23×C4C23×C5912yes—
384C23×C4C23×C5911yescharacteristic
385C23×C4C23×C5911yescharacteristic
386C23×C4C23×C5911yescharacteristic
387C23×C4C23×C5911yescharacteristic
388C23×C4C23×C5911yescharacteristic
389C2×C4⋊C4—24no—
390C2×C4⋊C4—24no—
391C2×C4⋊C4—24no—
392C2×C4⋊C4—24no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—24no—
395C2×C4⋊C4—24no—
396C2×C4⋊C4—42no—
397C2×C4⋊C4—42no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—24no—
403C2×C22⋊C4—42no—
404C2×C22⋊C4—42no—
405C2×C22⋊C4C2×C4×C5914yes—
406C2×C22⋊C4C2×C4×C5914yes—
407C2×C22⋊C4D4×C5914yes—
408C2×C22⋊C4Q8×C5914yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—24no—
412C2×C42—24no—
413C2×C42—42no—
414C2×C42—42no—
415C2×C42C2×C4×C5914yes—
416C2×C42C2×C4×C5914yes—
417#95—22no—
418#95—22no—
419#95—24no—
420#95—24no—
421#95—24no—
422#95—24no—
423#95—22no—
424#95—42no—
425#95—42no—
426#95C2×C4×C5914yes—
427#95C2×C4×C5914yes—
428#95D4×C5914yes—
429C24—21no—
430C24—22no—
431C24—22no—
432C24—22no—
433C24—21no—
434C24—21no—
435C24—22no—
436C24—21no—
437C24C22×C4×C5912yes—
438C24C2×D4×C5912yes—
439C24C2×Q8×C5912yes—
440C24C24×C5911yescharacteristic
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4C22×C4×C5912yes—
491C22×C4C22×C4×C5912yes—
492C22×C4C22×C4×C5912yes—
493C22×C4C22×C4×C5912yes—
494C22×C4C22×C4×C5912yes—
495C22×C4C22×C4×C5912yes—
496C22×C4C2×D4×C5914yes—
497C22×C4C2×D4×C5912yes—
498C22×C4C2×D4×C5912yes—
499C22×C4C2×D4×C5912yes—
500C22×C4C2×Q8×C5912yes—
501C22×C4C2×Q8×C5912yes—
502C22×C4#41×C5914yes—
503C22×C4#41×C5914yes—
504C22×C4#41×C5914yes—
505C22×C4#41×C5912yes—
506C4⋊C4—216no—
507C4⋊C4—48no—
508C4⋊C4—48no—
509C22⋊C4—28no—
510C22⋊C4—48no—
511C22⋊C4—48no—
512C22⋊C4C4⋊C4×C59116yescomplemented
513C42—28no—
514C42—44no—
515C42—48no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23—22no—
522C23—24no—
523C23—24no—
524C23—22no—
525C23—24no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—24no—
530C23—42no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23C2×C4⋊C4×C5914yes—
539C23C23×C4×C5911yescharacteristic
540C23C22×D4×C5911yescharacteristic
541C23C22×D4×C5911yescharacteristic
542C23C22×Q8×C5911yescharacteristic
543C23C2×#41×C5912yes—
544C23C2×#41×C5912yes—
545C23C2×#41×C5911yescharacteristic
546C23C2×#41×C5912yes—
547C23H(5,𝔽2)×C5912yes—
548C23H(5,𝔽2)×C5911yescharacteristic
549C232−1+4×C5911yescharacteristic
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—24no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—416no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4C2×C4⋊C4×C5914yes—
607C2×C4C2×C4⋊C4×C5914yes—
608C2×C4#117×C5914yes—
609C2×C4#117×C5914yes—
610C2×C4C4×D4×C5914yes—
611C22—24no—
612C22—24no—
613C22—24no—
614C22—44no—
615C22—44no—
616C22—42no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—44no—
621C22—44no—
622C22C22×C4⋊C4×C5911yescharacteristic
623C22C2×#117×C5911yescharacteristic
624C22C2×#117×C5911yescharacteristic
625C22C2×C4×D4×C5911yescharacteristic
626C22C4×#41×C5911yescharacteristic
627C22C59×#51811yescharacteristic
628C22C59×#52011yescharacteristic
629C22C59×#52512yes—
630C22C59×#52912yes—
631C22C59×#53212yes—
632C22C59×#53312yes—
633C22C59×#54012yes—
634C22C59×#54212yes—
635C22D42×C5911yescharacteristic
636C22C59×#54612yes—
637C22C59×#54612yes—
638C22C59×#54711yescharacteristic
639C22D4×Q8×C5911yescharacteristic
640C22C59×#55112yes—
641C22C59×#55312yes—
642C22C59×#55411yescharacteristic
643C22C59×#55412yes—
644C22C59×#55612yes—
645C4—24no—
646C4—24no—
647C4—24no—
648C4—24no—
649C4—24no—
650C4—42no—
651C4—44no—
652C4—44no—
653C4—82no—
654C4—82no—
655C2—44no—
656C2C59×#228511yescharacteristic
657C2C59×#229011yescharacteristic
658C2C59×#231911yescharacteristic
659C2C59×#234211yescharacteristic
660C2C59×#234711yescharacteristic
661C2D4×C4⋊C4×C5911yescharacteristic
662C2C59×#234911yescharacteristic
663C2C59×#246412yes—
664C2C59×#246512yes—
665C2C59×#252112yes—
666C2C59×#252212yes—
subgroupG/H
center, socleC24×C59C24
commutatorC23C23×C4×C59
Frattini, cosocleC24C24×C59
prime radicalC25×C59C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C59 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C4×C4⋊C4×C59C2semidirect
5. C59×#1444C2semidirect
7. C59×#1436C2semidirect
8. C59×C4⋊#95C2semidirect
9. C59×#1434C2semidirect
10. C59×#1434C2semidirect
26. C4×C22⋊C4×C59C4semidirect
178. C22⋊C4×C59C4⋊C4semidirect
277. #13891C59direct (N × H)
324. C2×C4×C4⋊C4C2×C59semidirect
326. #1444C2×C59semidirect
328. #1436C2×C59semidirect
329. C4⋊#95C2×C59semidirect
330. #1434C2×C59semidirect
331. #1434C2×C59semidirect
359. C4×C22⋊C4C4×C59semidirect
372. C59#13891direct (N × H)
512. C22⋊C4C4⋊C4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#3882
C2×C59×#3802
C2×C4×C4⋊C4×C592
C2×C4×C22⋊C4×C592
C59×#14442
C59×#14392
C59×#14362
C59×C4⋊#952
C59×#14342
C59×C22⋊#952
#1389159