Finite Group Databasebeta

← #28637371

Subgroups — #28637371

Order 15104.

904 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837726C211yesmaximal, characteristic, complemented
2C2×D4×C59⋊C8C211yesmaximal, characteristic, complemented
3#21427514C211yesmaximal, characteristic
4#21425592C211yesmaximal, characteristic, complemented
5#21425532C211yesmaximal, characteristic, complemented
6#21425481C211yesmaximal, characteristic, complemented
7#21425285C211yesmaximal, characteristic, complemented
8#21424821C211yesmaximal, characteristic, complemented
9#21424778C211yesmaximal, characteristic, complemented
10#21424522C211yesmaximal, characteristic, complemented
11#21424522C211yesmaximal, characteristic, complemented
12#21424293C211yesmaximal, characteristic, complemented
13#21424123C211yesmaximal, characteristic, complemented
14#21423812C211yesmaximal, characteristic, complemented
15C59×#2485C211yesmaximal, characteristic, complemented
16C23×C59⋊C8C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×#14273701C2211yescharacteristic
20C2×#14273686C2211yescharacteristic
21#16837726—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#16837317—21no—
36#16837310—21no—
37#16837304C2211yescharacteristic
38#16837302—21no—
39#16837300C2211yescharacteristic
40#16837292—21no—
41#16837262C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C2×#117×C59C2211yescharacteristic
52C59×#397—21no—
53C59×#394—21no—
54C59×#389C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#388—21no—
57C59×#387—21no—
58C59×#380C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C59×#380C2211yescharacteristic
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C22×C22⋊D59—21no—
64C22×C59⋊C8—22no—
65C22×C59⋊C8—22no—
66C22×C59⋊C8—22no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8—41no—
69C22×C59⋊C8—41no—
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74#14273701—22no—
75#14273701—22no—
76#14273701—22no—
77#14273701—41no—
78#14273686—22no—
79#14273686—41no—
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×(C2×D59)⋊C4—21no—
90C2×C4×Dic59—21no—
91#14273660—22no—
92#14273660—41no—
93#14273658—22no—
94#14273658—22no—
95C4⋊(C59⋊C8)—22no—
96#14273647—22no—
97#14273647—22no—
98#14273647—22no—
99#14273647—41no—
100C22⋊(C59⋊C8)—22no—
101C22⋊(C59⋊C8)D414yescomplemented
102C4×C59⋊C8—22no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C22×D4×C59D411yescharacteristic
106C23×C4×C59C2311yescharacteristic
107C23×C4×C59C2311yescharacteristic
108C4×D4×C59—22no—
109C4×D4×C59—22no—
110#117×C59—22no—
111#117×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×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D412yes—
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59#4112yes—
158C22×C4×C59C2411yescharacteristic
159C2×C22⋊D59—42no—
160C2×C22⋊D59—42no—
161C2×C22⋊D59—42no—
162C2×C22⋊D59—81no—
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—21no—
174C4⋊C4×C59—22no—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
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—42no—
184C4⋊C4×C59—81no—
185C22⋊C4×C59—22no—
186C22⋊C4×C59—22no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—81no—
190C22⋊C4×C59—81no—
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—42no—
194C22⋊Dic59—42no—
195C22⋊Dic59—81no—
196(C2×D59)⋊C4—42no—
197(C2×D59)⋊C4—42no—
198(C2×D59)⋊C4—42no—
199(C2×D59)⋊C4—81no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59#4112yes—
206Dic59⋊C4—81no—
207C4×Dic59—42no—
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#12112yes—
235C23×C59#13512yes—
236C23×C59C22×D411yescharacteristic
237C22×D59—41no—
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—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
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#13512yes—
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—22no—
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—41no—
295D236—41no—
296D236—41no—
297D236—41no—
298C59⋊C8—22no—
299C59⋊C8—22no—
300C59⋊C8—22no—
301C59⋊C8—41no—
302#25235—591nomaximal, Sylow
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59C2×#12111yescharacteristic
318C22×C59#54611yescharacteristic
319C22×C59#54711yescharacteristic
320C22×C59C2×#13511yescharacteristic
321C22×C59C2×#13511yescharacteristic
322C22×C59#57611yescharacteristic
323C22×C59#57711yescharacteristic
324C2×D59—81no—
325C2×D59—81no—
326C2×D59—81no—
327C2×D59—81no—
328C2×D59—81no—
329C2×D59—81no—
330C2×D59—81no—
331C4×C59—22no—
332C4×C59—22no—
333C4×C59—41no—
334C4×C59—41no—
335C4×C59—81no—
336C4×C59—81no—
337C4×C59—81no—
338C4×C59—81no—
339C4×C59#52911yescharacteristic
340C4×C59#53911yescharacteristic
341C4×C59#54611yescharacteristic
342C4×C59#54711yescharacteristic
343Dic59—42no—
344Dic59—81no—
345Dic59—81no—
346C2×#482—591no—
347C2×C8×D4—591no—
348#2485D5911yescharacteristic, complemented
349#2414—591no—
350#2087—591no—
351#2077—591no—
352#2067—591no—
353#2034—591no—
354#1941—591no—
355#1934—591no—
356#1893—591no—
357#1893—591no—
358#1854—591no—
359#1808—591no—
360#1735—591no—
361C2×C59—42no—
362C2×C59—42no—
363C2×C59#242511yescharacteristic
364C2×C59#305011yescharacteristic
365C2×C59#306211yescharacteristic
366C2×C59#329611yescharacteristic
367C2×C59#330511yescharacteristic
368C2×C59#333911yescharacteristic
369C2×C59#334011yescharacteristic
370D59—161no—
371C23×C8—591no—
372C23×C8—591no—
373C2×#121—591no—
374C2×#121—591no—
375C2×C4×D4C2×D5911yescharacteristic
376C2×#117—591no—
377C2×#117C2×D5911yescharacteristic
378#482—1184no—
379C8×D4—1184no—
380C2×#107—591no—
381C2×#107—591no—
382C2×#106—591no—
383C2×#106—591no—
384C2×C4⋊C8—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×C22⋊C8—591no—
390C2×C22⋊C8—591no—
391C2×C4×C8—591no—
392#397—21no—
393#394—21no—
394#394—1181no—
395#392—1181no—
396#390—591no—
397#390—1181no—
398#389—591no—
399#389C2×D5911yescharacteristic
400#389C2×D5911yescharacteristic
401#388—21no—
402#388—1181no—
403#387—21no—
404#380—591no—
405#380C2×D5911yescharacteristic
406#380C2×D5911yescharacteristic
407#380C2×D5911yescharacteristic
408#340—591no—
409#340—591no—
410#340—591no—
411#340—591no—
412#340—591no—
413#340—591no—
414#340—591no—
415#340—591no—
416C59#2523511yescharacteristic, complemented, Sylow
417C22×D4—591no—
418C22×D4—1181no—
419C22×D4—1181no—
420C22×D4C22⋊D5911yescharacteristic
421C23×C4C22×D5911yescharacteristic
422C23×C4C22×D5911yescharacteristic
423C22×C8—591no—
424C22×C8—591no—
425C22×C8—591no—
426C22×C8—591no—
427C22×C8—1182no—
428C22×C8—1182no—
429C22×C8—1182no—
430C22×C8—1182no—
431C22×C8—2361no—
432C22×C8—2361no—
433#121—1182no—
434#121—1182no—
435#121—1182no—
436#121—2361no—
437C4×D4—22no—
438C4×D4—22no—
439#117—22no—
440#117—22no—
441#117—1182no—
442#117—2361no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4C22⋊D5911yescharacteristic
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C4⋊C4C22×D5911yescharacteristic
453C2×C4⋊C4C22×D5911yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1181no—
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×C42—1181no—
468C2×C42C22×D5911yescharacteristic
469#107—1182no—
470#107—2361no—
471#106—1182no—
472#106—1182no—
473C4⋊C8—1182no—
474#102—1182no—
475#102—1182no—
476#102—1182no—
477#102—2361no—
478C22⋊C8—594no—
479C22⋊C8—1182no—
480C4×C8—1182no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—1181no—
487#95—1181no—
488C24—1181no—
489C24C2×C22⋊D5911yescharacteristic
490C24C2×C22⋊D5911yescharacteristic
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—1181no—
495C2×D4—1181no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—4721no—
501C2×D4—4721no—
502C2×D4—4721no—
503C2×D4—2362no—
504C2×D4—2362no—
505C2×D4—2362no—
506C22×C4—21no—
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—1181no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4D4×D5912yes—
524C22×C4#1174568712yes—
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C23×D5911yescharacteristic
530C2×C8—592no—
531C2×C8—592no—
532C2×C8—592no—
533C2×C8—1181no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—2364no—
543C2×C8—2364no—
544C4⋊C4—22no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—81no—
555C4⋊C4—592no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—4721no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—4721no—
569C22⋊C4—4721no—
570C22⋊C4—2362no—
571C22⋊C4—2362no—
572C22⋊C4—2362no—
573C22⋊C4—2362no—
574C42—21no—
575C42—21no—
576C42—42no—
577C42—2362no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—2361no—
591C23—2361no—
592C23—2361no—
593C23—2361no—
594C23—2361no—
595C23—2361no—
596C23—2361no—
597C23#1427369912yes—
598C23#1427374712yes—
599C23C22×C22⋊D5911yescharacteristic
600D4—28no—
601D4—4724no—
602D4—4724no—
603D4—2361no—
604D4—2361no—
605D4—2361no—
606D4—2361no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
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—1182no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4#1427369912yes—
647C2×C4#1427374712yes—
648C2×C4C2×D4×D5911yescharacteristic
649C2×C4#41×D5911yescharacteristic
650C2×C4#41×D5911yescharacteristic
651C2×C4C2×#1174568711yescharacteristic
652C2×C4#1427377311yescharacteristic
653C2×C4#1427377411yescharacteristic
654C8—1182no—
655C8—1182no—
656C8—1182no—
657C8—2361no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—4721no—
673C22—4721no—
674C22—4721no—
675C22—4721no—
676C22—4721no—
677C22—4721no—
678C22—4721no—
679C22C2×#1427369911yescharacteristic
680C22#1683804011yescharacteristic
681C22#1683805111yescharacteristic
682C22C2×#1427374711yescharacteristic
683C22C2×#1427374711yescharacteristic
684C22#1683820511yescharacteristic
685C22#1683821011yescharacteristic
686C4—22no—
687C4—22no—
688C4—41no—
689C4—41no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—81no—
694C4—4721no—
695C4—4721no—
696C4—2362no—
697C4#1683792911yescharacteristic
698C4#1683799611yescharacteristic
699C4#1683804411yescharacteristic
700C4#1683805011yescharacteristic
701C2—42no—
702C2—42no—
703C2—9441no—
704C2#2142765111yescharacteristic
705C2#2143367411yescharacteristic
706C2#2143377811yescharacteristic
707C2#2143592511yescharacteristic
708C2#2143604011yescharacteristic
709C2#2143649211yescharacteristic
710C2#2143650311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2485C2
socleC23×C59C22×D4
prime radical#21427514C2
hypercenter#2485D59
hypocenterC59#25235
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2485

Complements

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

NH ≅ G/Ntype
1. C2×#16837726C2semidirect
2. C2×D4×C59⋊C8C2semidirect
4. #21425592C2semidirect
5. #21425532C2semidirect
6. #21425481C2semidirect
7. #21425285C2semidirect
8. #21424821C2semidirect
9. #21424778C2semidirect
10. #21424522C2semidirect
11. #21424522C2semidirect
12. #21424293C2semidirect
13. #21424123C2semidirect
14. #21423812C2semidirect
15. C59×#2485C2semidirect
101. C22⋊(C59⋊C8)D4semidirect
348. #2485D59semidirect
416. C59#25235semidirect

Maximal subgroups

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

subgroupindex
C2×#168377262
C2×D4×C59⋊C82
#214275142
#214255922
#214255322
#214254812
#214252852
#214248212
#214247782
#214245222
#214242932
#214241232
#214238122
C59×#24852
#2523559