Finite Group Databasebeta

← #28606882

Subgroups — #28606882

Order 15104.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837474C211yesmaximal, characteristic
2C2×#16837442C211yesmaximal, characteristic, complemented
3C2×#16837438C211yesmaximal, characteristic, complemented
4#21427045C211yesmaximal, characteristic
5#21424862C211yesmaximal, characteristic, complemented
6#21424859C211yesmaximal, characteristic, complemented
7#21424295C211yesmaximal, characteristic, complemented
8#21424293C211yesmaximal, characteristic, complemented
9#21424293C211yesmaximal, characteristic, complemented
10#21424289C211yesmaximal, characteristic, complemented
11#21424265C211yesmaximal, characteristic, complemented
12#21424127C211yesmaximal, characteristic, complemented
13#21424119C211yesmaximal, characteristic, complemented
14#21423994C211yesmaximal, characteristic, complemented
15C59×#2352C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273686C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20#16837474C418yescomplemented
21#16837442—24no—
22#16837438—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273660C2211yescharacteristic
27C2×#14273658C2211yescharacteristic
28C2×#14273658C2211yescharacteristic
29C2×#14273658C2211yescharacteristic
30C2×#14273658C2211yescharacteristic
31C2×#14273658C2211yescharacteristic
32C2×#14273658C2211yescharacteristic
33C2×C4⋊(C59⋊C8)C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37#16837305—21no—
38#16837295—21no—
39#16837295—21no—
40#16837272C2211yescharacteristic
41#16837262C2211yescharacteristic
42#16837262C2211yescharacteristic
43C4⋊C4×Dic59—21no—
44C4×C4⋊Dic59C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×#117×C59C2211yescharacteristic
53C22×C4⋊C4×C59C2211yescharacteristic
54C59×#388—21no—
55C59×#387—21no—
56C59×#386—21no—
57C59×#382C2211yescharacteristic
58C59×#380C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C4×C4⋊C4×C59C2211yescharacteristic
61C4×C22⋊C4×C59—21no—
62C2×#11745664—22no—
63C2×#11745664—22no—
64C2×#11745664C2×C414yes—
65C22×C59⋊C8—22no—
66C22×C59⋊C8—22no—
67C22×C59⋊C8C2×C414yescomplemented
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72#14273686—22no—
73#14273686—22no—
74#14273686—41no—
75#14273686—41no—
76C2×C4⋊Dic59—21no—
77C2×C4⋊Dic59—21no—
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C22⋊Dic59—21no—
83C2×C22⋊Dic59—21no—
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59—21no—
86C2×C4×Dic59—21no—
87C2×C4×Dic59—21no—
88C2×C4×Dic59—21no—
89#14273660—22no—
90#14273660—22no—
91#14273660—41no—
92#14273660D414yescomplemented
93#14273658—22no—
94#14273658—22no—
95#14273658—22no—
96#14273658—22no—
97#14273658—22no—
98#14273658—41no—
99C4⋊(C59⋊C8)C2×C414yescomplemented
100C22⋊(C59⋊C8)C2×C414yes—
101C22⋊(C59⋊C8)C2×C414yescomplemented
102#14273638C2×C414yescomplemented
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C22×D4×C59D411yescharacteristic
107C23×C4×C59—21no—
108C23×C4×C59C2311yescharacteristic
109C23×C4×C59C2311yescharacteristic
110C4×D4×C59C2×C414yes—
111C4×D4×C59Q814yes—
112#117×C59—22no—
113#117×C59—41no—
114C2×C4⋊C4×C59—22no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—41no—
117C2×C4⋊C4×C59D411yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59D411yescharacteristic
126C2×C22⋊C4×C59D411yescharacteristic
127C2×C42×C59—21no—
128C2×C42×C59—21no—
129C2×C42×C59C2311yescharacteristic
130#95×C59—21no—
131#95×C59—21no—
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135C24×C59C2×D411yescharacteristic
136C24×C59C2×D411yescharacteristic
137C2×D4×C59—41no—
138C2×D4×C59—41no—
139C2×D4×C59C4⋊C414yes—
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—42no—
153C22×C4×C59—42no—
154C22×C4×C59—81no—
155C22×C4×C59C22×C412yes—
156C22×C4×C59C22×C412yes—
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×Q812yes—
162C22×C4×C59C2×Q812yes—
163C22×C4×C59C2411yescharacteristic
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C4⋊C4×C59—21no—
169C4⋊C4×C59—21no—
170C4⋊C4×C59—21no—
171C4⋊C4×C59—21no—
172C4⋊C4×C59—21no—
173C4⋊C4×C59—21no—
174C4⋊C4×C59—21no—
175C4⋊C4×C59—42no—
176C4⋊C4×C59C4⋊C414yes—
177C4⋊C4×C59C2×D412yes—
178C22⋊C4×C59—42no—
179C22⋊C4×C59—42no—
180C22⋊C4×C59—81no—
181C22⋊C4×C59C4⋊C414yes—
182C22⋊C4×C59C4⋊C414yes—
183C42×C59—42no—
184C42×C59—81no—
185C42×C59C22×C412yes—
186C42×C59C2×Q812yes—
187C22⋊Dic59—42no—
188C22⋊Dic59—42no—
189C22⋊Dic59—81no—
190C22⋊Dic59—81no—
191C4⋊Dic59—21no—
192C4⋊Dic59—21no—
193C4⋊Dic59—21no—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—42no—
199C4⋊Dic59—81no—
200C4⋊Dic59C2×D412yes—
201C4×Dic59—42no—
202C4×Dic59—42no—
203C4×Dic59—42no—
204#11745664—28no—
205C2×C59⋊C8—21no—
206C2×C59⋊C8—21no—
207C2×C59⋊C8—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—28no—
212C2×C59⋊C8C22×C412yes—
213C2×C59⋊C8C22×C412yes—
214C2×C59⋊C8C22×C412yes—
215C2×C59⋊C8C22×C412yes—
216C2×C59⋊C8C2×D412yes—
217C2×C59⋊C8#4112yes—
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×C59C2×C4⋊C412yes—
231C23×C59C2×C4⋊C412yes—
232C23×C59C22×D411yescharacteristic
233D4×C59—44no—
234C2×C4×C59—21no—
235C2×C4×C59—21no—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
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—84no—
263C2×C4×C59C2×C4⋊C412yes—
264C2×C4×C59C2×C4⋊C412yes—
265C2×C4×C59C2×C4⋊C412yes—
266C2×C4×C59C2×C4⋊C412yes—
267C2×C4×C59C23×C411yescharacteristic
268C2×C4×C59C22×D411yescharacteristic
269C2×C4×C59C22×Q811yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×C4×C59H(5,𝔽2)11yescharacteristic
272C2×C4×C592−1+411yescharacteristic
273C2×Dic59—22no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C59⋊C8—22no—
286C59⋊C8—22no—
287C59⋊C8—22no—
288C59⋊C8C4×D414yes—
289#22662—591nomaximal, Sylow
290C22×C59—22no—
291C22×C59—22no—
292C22×C59—22no—
293C22×C59—22no—
294C22×C59—22no—
295C22×C59—22no—
296C22×C59—41no—
297C22×C59—41no—
298C22×C59—41no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—41no—
302C22×C59—41no—
303C22×C59—41no—
304C22×C59C22×C4⋊C411yescharacteristic
305C22×C59D4211yescharacteristic
306C22×C59#54711yescharacteristic
307C22×C59#57511yescharacteristic
308C22×C59#57511yescharacteristic
309C22×C59#57711yescharacteristic
310C22×C59#57711yescharacteristic
311C4×C59—22no—
312C4×C59—22no—
313C4×C59—22no—
314C4×C59—22no—
315C4×C59—42no—
316C4×C59—81no—
317C4×C59—81no—
318C4×C59—81no—
319C4×C59C2×C4×D411yescharacteristic
320C4×C59#52011yescharacteristic
321C4×C59D4×Q811yescharacteristic
322C4×C59#55411yescharacteristic
323Dic59—42no—
324Dic59—81no—
325Dic59—81no—
326Dic59—81no—
327C2×#435—591no—
328C2×#428—591no—
329C2×#427—591no—
330#2354—591no—
331#2352D5911yescharacteristic
332#1949—591no—
333#1948—591no—
334#1854—591no—
335#1854—591no—
336#1854—591no—
337#1853—591no—
338#1847—591no—
339#1809—591no—
340#1807—591no—
341#1776—591no—
342C2×C59—42no—
343C2×C59—42no—
344C2×C59D4×C4⋊C411yescharacteristic
345C2×C59#291111yescharacteristic
346C2×C59#291211yescharacteristic
347C2×C59#326711yescharacteristic
348C2×C59#327111yescharacteristic
349C2×C59#334811yescharacteristic
350C2×C59#335011yescharacteristic
351C22×M16—591no—
352C23×C8—591no—
353C2×C4×D4C2×D5911yescharacteristic
354C2×#117—591no—
355C2×#117—591no—
356C2×#117C2×D5911yescharacteristic
357C22×C4⋊C4C2×D5911yescharacteristic
358#435—598no—
359#428—1184no—
360#427—1184no—
361C2×#107—591no—
362C2×#107—591no—
363C2×#107—591no—
364C2×#107—591no—
365C2×#106—591no—
366C2×#106—591no—
367C2×#106—591no—
368C2×#106—591no—
369C2×#106—591no—
370C2×#106—591no—
371C2×C4⋊C8—591no—
372C2×C22⋊C8—591no—
373C2×C22⋊C8—591no—
374C2×#97—591no—
375#390—1181no—
376#388—21no—
377#388—1181no—
378#388—1181no—
379#387—21no—
380#386—21no—
381#384—591no—
382#382C2×D5911yescharacteristic
383#380—591no—
384#380—591no—
385#380C2×D5911yescharacteristic
386#380C2×D5911yescharacteristic
387C4×C4⋊C4—591no—
388C4×C4⋊C4—1181no—
389C4×C4⋊C4C2×D5911yescharacteristic
390C4×C22⋊C4—21no—
391#340—591no—
392#340—591no—
393#340—591no—
394#340—591no—
395#340—591no—
396#340—591no—
397C59#2266211yescharacteristic, complemented, Sylow
398C22×D4C22⋊D5911yescharacteristic
399C23×C4—21no—
400C23×C4C22×D5911yescharacteristic
401C23×C4C22×D5911yescharacteristic
402C2×M16—594no—
403C2×M16—1182no—
404C2×M16—1182no—
405C22×C8—591no—
406C22×C8—594no—
407C22×C8—591no—
408C22×C8—591no—
409C22×C8—591no—
410C22×C8—1182no—
411C22×C8—1182no—
412C4×D4Dic11814yes—
413C4×D4C4×D5914yes—
414#117—22no—
415#117—41no—
416#117—1182no—
417#117—1182no—
418#117—2361no—
419#117—2361no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—591no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—591no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—1181no—
428C2×C4⋊C4—1181no—
429C2×C4⋊C4C22⋊D5911yescharacteristic
430C2×C4⋊C4C22×D5911yescharacteristic
431C2×C4⋊C4C22×D5911yescharacteristic
432C2×C4⋊C4C22×D5911yescharacteristic
433C2×C4⋊C4C22×D5911yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—1181no—
438C2×C22⋊C4—1181no—
439C2×C22⋊C4—1181no—
440C2×C22⋊C4—1181no—
441C2×C22⋊C4C22⋊D5911yescharacteristic
442C2×C22⋊C4C22⋊D5911yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—1181no—
446C2×C42—1181no—
447C2×C42—1181no—
448C2×C42C22×D5911yescharacteristic
449#107—594no—
450#107—1182no—
451#107—1182no—
452#107—2361no—
453#106—1182no—
454#106—1182no—
455#106—1182no—
456#106—1182no—
457#106—1182no—
458#106—2361no—
459C4⋊C8—594no—
460C22⋊C8—594no—
461C22⋊C8—594no—
462#97—594no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—1181no—
469#95—1181no—
470#95—1181no—
471C24C2×C22⋊D5911yescharacteristic
472C24C2×C22⋊D5911yescharacteristic
473C2×D4—41no—
474C2×D4—41no—
475C2×D4Dic59⋊C414yes—
476C22×C4—21no—
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—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4—1181no—
492C22×C4—1181no—
493C22×C4—1181no—
494C22×C4—1181no—
495C22×C4C2×Dic11812yes—
496C22×C4C2×Dic11812yes—
497C22×C4C2×C4×D5912yes—
498C22×C4C2×C4×D5912yes—
499C22×C4C2×C22⋊D5911yescharacteristic
500C22×C4C2×C22⋊D5911yescharacteristic
501C22×C4C2×C22⋊D5911yescharacteristic
502C22×C4C2×C22⋊D5911yescharacteristic
503C22×C4C23×D5911yescharacteristic
504M16—1188no—
505C2×C8—592no—
506C2×C8—592no—
507C2×C8—592no—
508C2×C8—592no—
509C2×C8—592no—
510C2×C8—592no—
511C2×C8—1188no—
512C2×C8—1181no—
513C2×C8—1181no—
514C2×C8—1181no—
515C2×C8—1181no—
516C2×C8—1181no—
517C2×C8—1181no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—42no—
526C4⋊C4—592no—
527C4⋊C4—1181no—
528C4⋊C4—1181no—
529C4⋊C4—1181no—
530C4⋊C4—1181no—
531C4⋊C4—1181no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C4⋊C4—4721no—
535C4⋊C4—2362no—
536C4⋊C4Dic59⋊C414yes—
537C4⋊C4D4×D5912yes—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—81no—
541C22⋊C4—4721no—
542C22⋊C4—4721no—
543C22⋊C4—2362no—
544C22⋊C4—2362no—
545C22⋊C4Dic59⋊C414yes—
546C22⋊C4Dic59⋊C414yes—
547C42—42no—
548C42—81no—
549C42—2362no—
550C42—2362no—
551C42—2362no—
552C42C2×Dic11812yes—
553C42C2×C4×D5912yes—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23C2×Dic59⋊C412yes—
567C23C2×Dic59⋊C412yes—
568C23C22×C22⋊D5911yescharacteristic
569D4—44no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—84no—
599C2×C4—1182no—
600C2×C4—2361no—
601C2×C4—2361no—
602C2×C4—2361no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4C2×Dic59⋊C412yes—
612C2×C4C2×Dic59⋊C412yes—
613C2×C4C2×Dic59⋊C412yes—
614C2×C4C2×Dic59⋊C412yes—
615C2×C4C22×C4×D5911yescharacteristic
616C2×C4C2×D4×D5911yescharacteristic
617C2×C4C22×Dic11811yescharacteristic
618C2×C4#41×D5911yescharacteristic
619C2×C4#1427377211yescharacteristic
620C2×C4#1427377411yescharacteristic
621C8—594no—
622C8—1182no—
623C8—1182no—
624C8—1182no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22C22×Dic59⋊C411yescharacteristic
640C22D4×C22⋊D5911yescharacteristic
641C22#1683805111yescharacteristic
642C22#1683820011yescharacteristic
643C22#1683820011yescharacteristic
644C22#1683821011yescharacteristic
645C22#1683821311yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—4721no—
655C4—4721no—
656C4—4721no—
657C4—2362no—
658C4C4×D4×D5911yescharacteristic
659C4#1683788111yescharacteristic
660C4D4×Dic11811yescharacteristic
661C4#1683811111yescharacteristic
662C2—42no—
663C2—42no—
664C2D4×Dic59⋊C411yescharacteristic
665C2#2143268511yescharacteristic
666C2#2143268911yescharacteristic
667C2#2143561711yescharacteristic
668C2#2143568211yescharacteristic
669C2#2143660511yescharacteristic
670C2#2143663511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2352C2
socleC23×C59C22×D4
prime radicalC22×D4×C59D4
cosocleC22×C4×C59C24
hypercenter#2352D59
hypocenterC59#22662
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#16837442C2semidirect
3. C2×#16837438C2semidirect
5. #21424862C2semidirect
6. #21424859C2semidirect
7. #21424295C2semidirect
8. #21424293C2semidirect
9. #21424293C2semidirect
10. #21424289C2semidirect
11. #21424265C2semidirect
12. #21424127C2semidirect
13. #21424119C2semidirect
14. #21423994C2semidirect
20. #16837474C4semidirect
67. C22×C59⋊C8C2×C4semidirect
92. #14273660D4semidirect
99. C4⋊(C59⋊C8)C2×C4semidirect
101. C22⋊(C59⋊C8)C2×C4semidirect
102. #14273638C2×C4semidirect
397. C59#22662semidirect

Maximal subgroups

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

subgroupindex
C2×#168374742
C2×#168374422
C2×#168374382
#214270452
#214248622
#214248592
#214242952
#214242932
#214242892
#214242652
#214241272
#214241192
#214239942
C59×#23522
#2266259