Finite Group Databasebeta

← #28555151

Subgroups — #28555151

Order 15104.

1292 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#11745685C211yesmaximal, characteristic
2C2×#16837426C211yesmaximal, characteristic, complemented
3#21422536C214yesmaximal, complemented
4#21422526C212yesmaximal, complemented
5#21422522C212yesmaximal, complemented
6#21422484C214yesmaximal, complemented
7C59×#2920C211yesmaximal, characteristic, complemented
8C22×#11745685C411yescharacteristic
9C22×#11745664—21no—
10C4×#11745685—21no—
11C4×#11745685—21no—
12C4×#11745685—21no—
13C4×#11745685—21no—
14C4×#11745685C412yes—
15C4×#11745685C412yes—
16C4×#11745685C2212yes—
17C4×#11745685C2212yes—
18C2×C4×Dic118C411yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C411yescharacteristic
21C2×C4×D236C2211yescharacteristic
22C2×C4×C22⋊D59—21no—
23C2×C4×C22⋊D59—21no—
24C2×#14273686C411yescharacteristic
25C2×#14273684—21no—
26C2×C42×D59—21no—
27#16837426—21no—
28#16837426—21no—
29#16837426C2212yes—
30#16837426C2212yescomplemented
31C2×C4⋊(C59⋊C8)—21no—
32C2×C4⋊(C59⋊C8)C2212yescomplemented
33#16837134C2218yescomplemented
34#16837131C2218yescomplemented
35C22×C42×C59C2211yescharacteristic
36C59×#432—21no—
37C59×#432—21no—
38C59×#431C2212yes—
39C59×#431C2212yescomplemented
40C59×#423—21no—
41C59×#407—21no—
42C4×M16×C59C2212yescomplemented
43C2×#11745685—21no—
44C2×#11745685—21no—
45C2×#11745685—28no—
46C2×#11745685C2×C412yes—
47C2×#11745685C2×C412yes—
48C22×Dic118C2×C411yescharacteristic
49C22×D236C2×C411yescharacteristic
50C22×C22⋊D59—21no—
51C22×C4×D59—21no—
52C22×C4×D59—21no—
53C22×C4×D59—21no—
54C2×#11745664—22no—
55C2×#11745664—22no—
56C2×#11745664—44no—
57C22×C59⋊C8—22no—
58C4×Dic118—21no—
59C4×Dic118—21no—
60C4×Dic118—21no—
61C4×Dic118—21no—
62C4×Dic118C2×C412yes—
63C4×Dic118C2×C412yes—
64C4×Dic118C2×C412yes—
65C4×Dic118C2312yes—
66C4×D236—21no—
67C4×D236—21no—
68C4×D236—21no—
69C4×D236—21no—
70C4×D236C2×C412yes—
71C4×D236C2×C412yes—
72C4×D236C2×C412yes—
73C4×D236C2312yes—
74C4×C22⋊D59—22no—
75C4×C22⋊D59—22no—
76C4×C22⋊D59—22no—
77C4×C22⋊D59—22no—
78C4×C22⋊D59—22no—
79C4×C22⋊D59—22no—
80C4×C22⋊D59—22no—
81C4×C22⋊D59—22no—
82#14273686—21no—
83#14273686—21no—
84#14273686C2×C412yes—
85#14273686C2×C412yes—
86#14273684—22no—
87#14273684—22no—
88#14273684—22no—
89#14273684—22no—
90C2×C4⋊Dic59C2×C411yescharacteristic
91C2×C4⋊Dic59C2×C411yescharacteristic
92C2×Dic59⋊C4—21no—
93C2×Dic59⋊C4—21no—
94C2×C22⋊Dic59—21no—
95C2×(C2×D59)⋊C4—21no—
96C2×(C2×D59)⋊C4—21no—
97C2×C4×Dic59—21no—
98C2×C4×Dic59—21no—
99C2×C4×Dic59—21no—
100C42×D59—22no—
101C42×D59—22no—
102C42×D59—22no—
103C42×D59—22no—
104C4⋊(C59⋊C8)—22no—
105C4⋊(C59⋊C8)—22no—
106C4⋊(C59⋊C8)—22no—
107C4⋊(C59⋊C8)C2314yes—
108C23×C4×C59C2×C411yescharacteristic
109C23×C4×C59D411yescharacteristic
110C23×C4×C59D411yescharacteristic
111C2×M16×C59—22no—
112C2×C42×C59C2×C411yescharacteristic
113C2×C42×C59C2×C411yescharacteristic
114C2×C42×C59C2×C411yescharacteristic
115C2×C42×C59D411yescharacteristic
116C2×C42×C59D411yescharacteristic
117C2×C42×C59D411yescharacteristic
118C2×C42×C59D411yescharacteristic
119C2×C42×C59D411yescharacteristic
120C2×C42×C59D411yescharacteristic
121C2×C42×C59C2311yescharacteristic
122C2×C42×C59C2311yescharacteristic
123C2×C42×C59C2311yescharacteristic
124C4⋊C8×C59—22no—
125C4⋊C8×C59—22no—
126C22⋊C8×C59—22no—
127C22⋊C8×C59—22no—
128#97×C59—22no—
129C4×C8×C59C2314yes—
130C24×C59C22⋊C411yescharacteristic
131C23×D59—21no—
132C22×C4×C59—24no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—42no—
136C22×C4×C59C22⋊C411yescharacteristic
137C22×C4×C59C22⋊C411yescharacteristic
138C22×C4×C59C22⋊C411yescharacteristic
139C22×C4×C59C22⋊C411yescharacteristic
140C22×C4×C59C22⋊C411yescharacteristic
141C22×C4×C59C22⋊C411yescharacteristic
142C22×C4×C59C22⋊C411yescharacteristic
143C22×C4×C59C22⋊C411yescharacteristic
144C22×C4×C59C22⋊C411yescharacteristic
145C22×C4×C59C22×C411yescharacteristic
146C22×C4×C59C22×C411yescharacteristic
147C22×C4×C59C22×C411yescharacteristic
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C2×C22⋊D59—28no—
155C2×C22⋊D59—22no—
156C2×C22⋊D59—22no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160#11745685—28no—
161#11745685—28no—
162#11745685—24no—
163#11745685—24no—
164#11745685—24no—
165#11745685M1618yescomplemented
166C2×D236—21no—
167C2×D236—24no—
168C2×D236C22×C412yes—
169C2×C4×D59—28no—
170C2×C4×D59—22no—
171C2×C4×D59—22no—
172C2×C4×D59—22no—
173C2×C4×D59—22no—
174C2×C4×D59—22no—
175C2×C4×D59—22no—
176C2×C4×D59—44no—
177C2×C4×D59—42no—
178C2×C4×D59—42no—
179C2×Dic118—21no—
180C2×Dic118—24no—
181C2×Dic118C22×C412yes—
182M16×C59—44no—
183C2×C8×C59—24no—
184C42×C59C22⋊C411yescharacteristic
185C42×C59C22⋊C411yescharacteristic
186C42×C59C22⋊C411yescharacteristic
187C42×C59C22⋊C411yescharacteristic
188C42×C59C22⋊C411yescharacteristic
189C42×C59C22⋊C411yescharacteristic
190C42×C59C22×C411yescharacteristic
191C42×C59C22×C411yescharacteristic
192C42×C59C22×C411yescharacteristic
193C42×C59C2×D411yescharacteristic
194C42×C59C2×D411yescharacteristic
195C42×C59C2×D411yescharacteristic
196C42×C59C2×D411yescharacteristic
197C42×C59C2×D411yescharacteristic
198C42×C59C2×D411yescharacteristic
199C42×C59C2411yescharacteristic
200C22⋊Dic59—22no—
201C22⋊Dic59—22no—
202(C2×D59)⋊C4—22no—
203(C2×D59)⋊C4—22no—
204(C2×D59)⋊C4—22no—
205(C2×D59)⋊C4—22no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59C22×C412yes—
209C4⋊Dic59C22×C412yes—
210Dic59⋊C4—22no—
211Dic59⋊C4—22no—
212Dic59⋊C4—22no—
213Dic59⋊C4—22no—
214C4×Dic59—22no—
215C4×Dic59—22no—
216C4×Dic59—22no—
217C4×Dic59—22no—
218C4×Dic59—22no—
219C4×Dic59—22no—
220#11745664—44no—
221#11745664—44no—
222C2×C59⋊C8—24no—
223C2×C59⋊C8—44no—
224C23×C59—22no—
225C23×C59—22no—
226C23×C59—41no—
227C23×C59C2×C22⋊C411yescharacteristic
228C23×C59C2×C22⋊C411yescharacteristic
229C23×C59C2×C22⋊C411yescharacteristic
230C22×D59—24no—
231C22×D59—22no—
232C22×D59—42no—
233C22×D59—42no—
234C2×C4×C59—22no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—22no—
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—41no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59C2×C22⋊C411yescharacteristic
253C2×C4×C59C2×C22⋊C411yescharacteristic
254C2×C4×C59C2×C22⋊C411yescharacteristic
255C2×C4×C59C2×C22⋊C411yescharacteristic
256C2×C4×C59C2×C22⋊C411yescharacteristic
257C2×C4×C59C2×C22⋊C411yescharacteristic
258C2×C4×C59C2×C22⋊C411yescharacteristic
259C2×C4×C59C2×C22⋊C411yescharacteristic
260C2×C4×C59C2×C22⋊C411yescharacteristic
261C2×C4×C59C2×M1614yes—
262C2×C4×C59AGL(1,ℤ/8)12yes—
263C2×C4×C59#13712yes—
264C2×C4×C59C23×C411yescharacteristic
265C2×C4×C59C22×D411yescharacteristic
266C2×C4×C59C22×D411yescharacteristic
267C22⋊D59—28no—
268C22⋊D59—28no—
269C2×Dic59—24no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—22no—
273C2×Dic59—42no—
274C2×Dic59—42no—
275D236—24no—
276D236—22no—
277D236C2×M1614yescomplemented
278C4×D59—28no—
279C4×D59—28no—
280C4×D59—44no—
281C4×D59—42no—
282C4×D59—42no—
283C4×D59—44no—
284C4×D59—44no—
285Dic118—24no—
286Dic118—22no—
287Dic118C2×M1614yescomplemented
288C8×C59—44no—
289C59⋊C8—44no—
290#17451—591nomaximal, Sylow
291C22×C59—21no—
292C22×C59—21no—
293C22×C59—21no—
294C22×C59—21no—
295C22×C59—21no—
296C22×C59—21no—
297C22×C59—21no—
298C22×C59—44no—
299C22×C59#40712yes—
300C22×C59#41712yes—
301C22×C59C22×C22⋊C411yescharacteristic
302C2×D59—24no—
303C2×D59—48no—
304C2×D59—42no—
305C2×D59—42no—
306C4×C59—21no—
307C4×C59—21no—
308C4×C59—21no—
309C4×C59—21no—
310C4×C59—21no—
311C4×C59—21no—
312C4×C59—21no—
313C4×C59#40712yes—
314C4×C59#41712yes—
315C4×C59#42112yes—
316C4×C59C22×M1612yes—
317C4×C59C2×AGL(1,ℤ/8)11yescharacteristic
318C4×C59C2×#13711yescharacteristic
319Dic59—24no—
320Dic59—42no—
321Dic59—42no—
322C2×C4×#41—591no—
323#2920D5911yescharacteristic, complemented
324C2×#423—591no—
325#1489—594no—
326#1487—592no—
327#1486—592no—
328#1477—594no—
329C2×C59—22no—
330C2×C59—22no—
331C2×C59—41no—
332C2×C59C2×#40711yescharacteristic
333C2×C59C2×#41711yescharacteristic
334C2×C59C2×#42111yescharacteristic
335D59—44no—
336C22×#41—591no—
337C22×M16—1181no—
338C4×#41—592no—
339C4×#41—592no—
340C4×#41—592no—
341C4×#41—592no—
342C4×#41—1181no—
343C4×#41—1181no—
344C4×#41—1181no—
345C4×#41—1181no—
346C2×C4×Q8—591no—
347C2×C4×Q8—591no—
348C2×C4×D4—591no—
349C2×C4×D4—591no—
350C2×C4×D4—1181no—
351C2×C4×D4—1181no—
352C2×#117—591no—
353C2×#117—1181no—
354C22×C42—1181no—
355C22×C42C2×D5911yescharacteristic
356#432—21no—
357#432—21no—
358#431C2×D5912yes—
359#431C2×D5912yescomplemented
360#423—21no—
361#423—592no—
362#423—592no—
363#423—1181no—
364#423—1181no—
365C2×C4⋊C8—592no—
366C2×C4⋊C8—1181no—
367#407—21no—
368C4×M16C2×D5912yescomplemented
369Q8⋊C8—598no—
370D4⋊C8—598no—
371C59#1745111yescharacteristic, complemented, Sylow
372C2×#41—592no—
373C2×#41—592no—
374C2×#41—1188no—
375C2×#41—1181no—
376C2×#41—1181no—
377C22×Q8—591no—
378C22×D4—591no—
379C22×D4—1181no—
380C23×C4—1181no—
381C23×C4—1181no—
382C23×C4—1181no—
383C23×C4C4×D5911yescharacteristic
384C23×C4D23611yescharacteristic
385C23×C4C22⋊D5911yescharacteristic
386C2×M16—22no—
387C2×M16—1182no—
388C2×M16—1182no—
389C2×M16—2364no—
390C22×C8—1182no—
391C4×Q8—592no—
392C4×Q8—592no—
393C4×Q8—592no—
394C4×Q8—592no—
395C4×Q8—1181no—
396C4×Q8—1181no—
397C4×Q8—1181no—
398C4×Q8—1181no—
399C4×D4—592no—
400C4×D4—592no—
401C4×D4—592no—
402C4×D4—592no—
403C4×D4—1182no—
404C4×D4—1182no—
405C4×D4—1182no—
406C4×D4—1182no—
407C4×D4—1182no—
408C4×D4—1182no—
409C4×D4—1182no—
410C4×D4—1182no—
411C4×D4—1181no—
412C4×D4—1181no—
413C4×D4—1181no—
414C4×D4—1181no—
415#117—592no—
416#117—592no—
417#117—1181no—
418#117—1181no—
419#117—1182no—
420#117—1182no—
421#117—1182no—
422#117—1182no—
423C2×C4⋊C4—591no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—1181no—
426C2×C4⋊C4—1181no—
427C2×C22⋊C4—1181no—
428C2×C22⋊C4—1181no—
429C2×C22⋊C4—1181no—
430C2×C42—1181no—
431C2×C42—1181no—
432C2×C42—1181no—
433C2×C42—1182no—
434C2×C42—1182no—
435C2×C42—1182no—
436C2×C42—1182no—
437C2×C42C4×D5911yescharacteristic
438C2×C42C4×D5911yescharacteristic
439C2×C42C4×D5911yescharacteristic
440C2×C42D23611yescharacteristic
441C2×C42D23611yescharacteristic
442C2×C42D23611yescharacteristic
443C2×C42C22⋊D5911yescharacteristic
444C2×C42C22⋊D5911yescharacteristic
445C2×C42C22⋊D5911yescharacteristic
446C2×C42C22×D5911yescharacteristic
447C2×C42C22×D5911yescharacteristic
448C2×C42C22×D5911yescharacteristic
449C4⋊C8—22no—
450C4⋊C8—22no—
451C4⋊C8—594no—
452C4⋊C8—1182no—
453C4⋊C8—1182no—
454C4⋊C8—1182no—
455C22⋊C8—22no—
456C22⋊C8—22no—
457#97—22no—
458C4×C8C22×D5914yes—
459C24—1181no—
460C24(C2×D59)⋊C411yescharacteristic
461#41—598no—
462#41—1184no—
463#41—1184no—
464#41—1188no—
465#41—1188no—
466#41—1184no—
467C2×Q8—592no—
468C2×Q8—1184no—
469C2×Q8—1181no—
470C2×D4—592no—
471C2×D4—1184no—
472C2×D4—1188no—
473C2×D4—1182no—
474C2×D4—1182no—
475C2×D4—1181no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—42no—
480C22×C4—1188no—
481C22×C4—1181no—
482C22×C4—1182no—
483C22×C4—1182no—
484C22×C4—1181no—
485C22×C4—1181no—
486C22×C4—1182no—
487C22×C4—1182no—
488C22×C4—1182no—
489C22×C4—1182no—
490C22×C4—2364no—
491C22×C4—2362no—
492C22×C4—2362no—
493C22×C4(C2×D59)⋊C411yescharacteristic
494C22×C4(C2×D59)⋊C411yescharacteristic
495C22×C4(C2×D59)⋊C411yescharacteristic
496C22×C4(C2×D59)⋊C411yescharacteristic
497C22×C4(C2×D59)⋊C411yescharacteristic
498C22×C4(C2×D59)⋊C411yescharacteristic
499C22×C4(C2×D59)⋊C411yescharacteristic
500C22×C4(C2×D59)⋊C411yescharacteristic
501C22×C4(C2×D59)⋊C411yescharacteristic
502C22×C4C2×C4×D5911yescharacteristic
503C22×C4C2×C4×D5911yescharacteristic
504C22×C4C2×C4×D5911yescharacteristic
505C22×C4C2×D23611yescharacteristic
506C22×C4C2×D23611yescharacteristic
507C22×C4C2×D23611yescharacteristic
508C22×C4C2×C22⋊D5911yescharacteristic
509C22×C4C2×C22⋊D5911yescharacteristic
510C22×C4C2×C22⋊D5911yescharacteristic
511M16—44no—
512M16—2364no—
513M16—2364no—
514C2×C8—24no—
515C2×C8—1184no—
516C2×C8—2364no—
517C4⋊C4—592no—
518C4⋊C4—592no—
519C4⋊C4—1181no—
520C4⋊C4—1181no—
521C4⋊C4—1182no—
522C4⋊C4—1182no—
523C4⋊C4—1182no—
524C4⋊C4—1182no—
525C22⋊C4—1182no—
526C22⋊C4—1182no—
527C22⋊C4—1182no—
528C22⋊C4—1182no—
529C22⋊C4—1182no—
530C22⋊C4—1182no—
531C42—1182no—
532C42—1182no—
533C42—1182no—
534C42—1182no—
535C42—1182no—
536C42—1182no—
537C42(C2×D59)⋊C411yescharacteristic
538C42(C2×D59)⋊C411yescharacteristic
539C42(C2×D59)⋊C411yescharacteristic
540C42(C2×D59)⋊C411yescharacteristic
541C42(C2×D59)⋊C411yescharacteristic
542C42(C2×D59)⋊C411yescharacteristic
543C42C2×C4×D5911yescharacteristic
544C42C2×C4×D5911yescharacteristic
545C42C2×C4×D5911yescharacteristic
546C42C2×D23611yescharacteristic
547C42C2×D23611yescharacteristic
548C42C2×D23611yescharacteristic
549C42C2×C22⋊D5911yescharacteristic
550C42C2×C22⋊D5911yescharacteristic
551C42C2×C22⋊D5911yescharacteristic
552C42C23×D5911yescharacteristic
553C23—22no—
554C23—22no—
555C23—41no—
556C23—1184no—
557C23—1182no—
558C23—2362no—
559C23—2362no—
560C23C2×(C2×D59)⋊C411yescharacteristic
561C23C2×(C2×D59)⋊C411yescharacteristic
562C23C2×(C2×D59)⋊C411yescharacteristic
563Q8—594no—
564Q8—1184no—
565Q8—1182no—
566D4—594no—
567D4—1184no—
568D4—1188no—
569D4—1188no—
570D4—1182no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—1188no—
590C2×C4—1184no—
591C2×C4—1182no—
592C2×C4—1188no—
593C2×C4—1182no—
594C2×C4—1182no—
595C2×C4—2364no—
596C2×C4—2362no—
597C2×C4—2362no—
598C2×C4—2364no—
599C2×C4—2364no—
600C2×C4—2362no—
601C2×C4—2362no—
602C2×C4C2×(C2×D59)⋊C411yescharacteristic
603C2×C4C2×(C2×D59)⋊C411yescharacteristic
604C2×C4C2×(C2×D59)⋊C411yescharacteristic
605C2×C4C2×(C2×D59)⋊C411yescharacteristic
606C2×C4C2×(C2×D59)⋊C411yescharacteristic
607C2×C4C2×(C2×D59)⋊C411yescharacteristic
608C2×C4C2×(C2×D59)⋊C411yescharacteristic
609C2×C4C2×(C2×D59)⋊C411yescharacteristic
610C2×C4C2×(C2×D59)⋊C411yescharacteristic
611C2×C4M16×D5914yes—
612C2×C4#1427375512yes—
613C2×C4#1427376012yes—
614C2×C4C22×C4×D5911yescharacteristic
615C2×C4C22×C22⋊D5911yescharacteristic
616C2×C4C22×D23611yescharacteristic
617C8—44no—
618C8—2364no—
619C22—21no—
620C22—21no—
621C22—21no—
622C22—21no—
623C22—21no—
624C22—21no—
625C22—21no—
626C22—44no—
627C22—1184no—
628C22—2368no—
629C22—2362no—
630C22—2362no—
631C22#1683736512yes—
632C22#1683740412yes—
633C22C22×(C2×D59)⋊C411yescharacteristic
634C4—21no—
635C4—21no—
636C4—21no—
637C4—21no—
638C4—21no—
639C4—21no—
640C4—21no—
641C4—1184no—
642C4—2362no—
643C4—2362no—
644C4#1683736512yes—
645C4#1683740412yes—
646C4#1683742012yes—
647C4C2×M16×D5912yes—
648C4C2×#1427375511yescharacteristic
649C4C2×#1427376011yescharacteristic
650C2—22no—
651C2—22no—
652C2—41no—
653C2—2364no—
654C2C2×#1683736511yescharacteristic
655C2C2×#1683740411yescharacteristic
656C2C2×#1683742011yescharacteristic
subgroupG/H
centerC2×C4C22×D236
commutatorC2×C4×C59C23×C4
FrattiniC42C23×D59
FittingC59×#2920C2
socleC22×C59C22×C22⋊C4
prime radicalC22×#11745685C4
cosocleC42×C59C24
hypercenter#2920D59
hypocenterC59#17451
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. C2×#16837426C2semidirect
3. #21422536C2semidirect
4. #21422526C2semidirect
5. #21422522C2semidirect
6. #21422484C2semidirect
7. C59×#2920C2semidirect
30. #16837426C22semidirect
32. C2×C4⋊(C59⋊C8)C22semidirect
33. #16837134C22semidirect
34. #16837131C22semidirect
39. C59×#431C22semidirect
42. C4×M16×C59C22semidirect
165. #11745685M16semidirect
277. D236C2×M16semidirect
287. Dic118C2×M16semidirect
323. #2920D59semidirect
359. #431C2×D59semidirect
368. C4×M16C2×D59semidirect
371. C59#17451semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117456852
C2×#168374262
#214225362
#214225262
#214225222
#214224842
C59×#29202
#1745159