Finite Group Databasebeta

← #28629495

Subgroups — #28629495

Order 15104.

856 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837621C211yesmaximal, characteristic, complemented
2C2×#16837463C211yesmaximal, characteristic, complemented
3#21426778C211yesmaximal, characteristic, complemented
4#21425289C211yesmaximal, characteristic, complemented
5#21425282C211yesmaximal, characteristic
6#21425104C211yesmaximal, characteristic, complemented
7#21425099C211yesmaximal, characteristic
8#21425029C211yesmaximal, characteristic, complemented
9#21424966C211yesmaximal, characteristic, complemented
10#21424949C211yesmaximal, characteristic, complemented
11#21424857C211yesmaximal, characteristic, complemented
12#21424796C211yesmaximal, characteristic, complemented
13#21424775C211yesmaximal, characteristic, complemented
14#21424098C211yesmaximal, characteristic, complemented
15C59×#2620C211yesmaximal, characteristic
16C22×#11745672C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20#16837621—24no—
21#16837463—24no—
22C2×#14273658C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×C4⋊(C59⋊C8)C2211yescharacteristic
25C2×C4⋊(C59⋊C8)C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273650C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837297—21no—
41#16837296—21no—
42#16837290—21no—
43#16837283—21no—
44#16837262C2211yescharacteristic
45C4×C4⋊Dic59C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×#124×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×#121×C59C2211yescharacteristic
53C2×#117×C59C2211yescharacteristic
54C59×#396—21no—
55C59×#396—21no—
56C59×#394—21no—
57C59×#394—21no—
58C59×#391C2211yescharacteristic
59C59×#390C2211yescharacteristic
60C59×#384C2211yescharacteristic
61C22×Dic118C2311yescharacteristic
62C2×#11745672—22no—
63C2×#11745672—22no—
64C2×#11745672—41no—
65C2×#11745670—22no—
66C2×#11745670—22no—
67C2×#11745670—41no—
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72#14273706—22no—
73#14273706—22no—
74C4×Dic118—22no—
75C4×Dic118—22no—
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×Dic59⋊C4—21no—
80C2×Dic59⋊C4—21no—
81C2×Dic59⋊C4—21no—
82C2×C22⋊Dic59—21no—
83C2×C22⋊Dic59—21no—
84C2×C4×Dic59—21no—
85C2×C4×Dic59—21no—
86#14273658—41no—
87#14273658—41no—
88C4⋊(C59⋊C8)—22no—
89C4⋊(C59⋊C8)D414yescomplemented
90#14273651—22no—
91#14273651—22no—
92#14273651—41no—
93#14273650—41no—
94#14273650—41no—
95#14273648—22no—
96#14273648—22no—
97#14273648—41no—
98C22⋊(C59⋊C8)—22no—
99C22⋊(C59⋊C8)—22no—
100#14273638—22no—
101C4×C59⋊C8—22no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C22×Q8×C59C2311yescharacteristic
108C22×D4×C59—21no—
109C22×D4×C59C2311yescharacteristic
110C23×C4×C59C2311yescharacteristic
111#124×C59—22no—
112#124×C59—22no—
113C22⋊Q8×C59—41no—
114C22⋊Q8×C59—41no—
115#121×C59—41no—
116#121×C59—41no—
117#117×C59—22no—
118#117×C59—22no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—21no—
121C2×C4⋊C4×C59—21no—
122C2×C4⋊C4×C59D411yescharacteristic
123C2×C4⋊C4×C59D411yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59—21no—
130C2×C22⋊C4×C59—21no—
131C2×C22⋊C4×C59—21no—
132C2×C22⋊C4×C59D411yescharacteristic
133C2×C22⋊C4×C59D411yescharacteristic
134C2×C42×C59C2311yescharacteristic
135C2×C42×C59C2311yescharacteristic
136#95×C59—21no—
137#95×C59—21no—
138C24×C59—21no—
139C24×C59C2×D411yescharacteristic
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59—21no—
151C2×D4×C59—21no—
152C2×D4×C59—42no—
153C2×D4×C59—81no—
154C2×D4×C59—81no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—21no—
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2411yescharacteristic
170C22×Dic59—21no—
171C22×Dic59—21no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118#4112yes—
180C4⋊C4×C59—22no—
181C4⋊C4×C59—22no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—42no—
187C4⋊C4×C59—81no—
188C4⋊C4×C59—81no—
189C22⋊C4×C59—22no—
190C22⋊C4×C59—22no—
191C22⋊C4×C59—42no—
192C22⋊C4×C59—42no—
193C22⋊C4×C59—42no—
194C22⋊C4×C59—42no—
195C22⋊C4×C59—81no—
196C22⋊C4×C59—81no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59C2×D412yes—
200C42×C59#4112yes—
201C22⋊Dic59—24no—
202C22⋊Dic59—81no—
203#11745672—44no—
204#11745670—44no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59#4112yes—
211Dic59⋊C4—24no—
212Dic59⋊C4—42no—
213Dic59⋊C4—81no—
214C4×Dic59—42no—
215C4×Dic59—81no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8C2×D412yes—
227C2×C59⋊C8C2×D412yes—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59C22×D411yescharacteristic
243Q8×C59—41no—
244Q8×C59—41no—
245Q8×C59—41no—
246Q8×C59—41no—
247D4×C59—41no—
248D4×C59—41no—
249D4×C59—41no—
250D4×C59—41no—
251D4×C59—84no—
252C2×C4×C59—21no—
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—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
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—41no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59#12112yes—
279C2×C4×C59#12112yes—
280C2×C4×C59C22×D411yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59H(5,𝔽2)11yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298Dic118—22no—
299Dic118—22no—
300Dic118—41no—
301Dic118—41no—
302C59⋊C8—22no—
303C59⋊C8—22no—
304C59⋊C8—41no—
305C59⋊C8—41no—
306#24669—591nomaximal, Sylow
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—81no—
315C22×C59—81no—
316C22×C59—81no—
317C22×C59—81no—
318C22×C59—81no—
319C22×C59—81no—
320C22×C59—81no—
321C22×C59C2×#12111yescharacteristic
322C22×C59#52511yescharacteristic
323C22×C59#53511yescharacteristic
324C22×C59#57711yescharacteristic
325C22×C59#57711yescharacteristic
326C22×C59#57711yescharacteristic
327C22×C59#57811yescharacteristic
328C4×C59—22no—
329C4×C59—22no—
330C4×C59—41no—
331C4×C59—41no—
332C4×C59—41no—
333C4×C59—81no—
334C4×C59—81no—
335C4×C59—81no—
336C4×C59#54611yescharacteristic
337C4×C59#55011yescharacteristic
338C4×C59#55311yescharacteristic
339C4×C59#55511yescharacteristic
340Dic59—42no—
341Dic59—42no—
342Dic59—81no—
343Dic59—81no—
344C2×#464—591no—
345C2×#433—591no—
346#2620D5911yescharacteristic
347#2323—591no—
348#2035—591no—
349#2034—591no—
350#2001—591no—
351#2000—591no—
352#1983—591no—
353#1971—591no—
354#1968—591no—
355#1948—591no—
356#1936—591no—
357#1933—591no—
358#1803—591no—
359C2×C59—81no—
360C2×C59—161no—
361C2×C59#241411yescharacteristic
362C2×C59#306011yescharacteristic
363C2×C59#306311yescharacteristic
364C2×C59#312111yescharacteristic
365C2×C59#312511yescharacteristic
366C2×C59#322211yescharacteristic
367C2×C59#322511yescharacteristic
368C22×Q16—591no—
369C22×SD16—591no—
370C2×#124C2×D5911yescharacteristic
371C2×C22⋊Q8—591no—
372C2×C22⋊Q8C2×D5911yescharacteristic
373C2×#121C2×D5911yescharacteristic
374C2×C4×Q8—591no—
375C2×#117C2×D5911yescharacteristic
376#464—1184no—
377#433—1184no—
378C2×#106—591no—
379C2×#106—591no—
380C2×C4⋊C8—591no—
381C2×C4⋊C8—591no—
382C2×#103—591no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#103—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×#102—591no—
390C2×C22⋊C8—591no—
391C2×C22⋊C8—591no—
392C2×#97—591no—
393C2×C4×C8—591no—
394#396—21no—
395#396—21no—
396#394—21no—
397#394—21no—
398#391—591no—
399#391C2×D5911yescharacteristic
400#390C2×D5911yescharacteristic
401#389—591no—
402#389—1181no—
403#388—1181no—
404#388—1181no—
405#387—1181no—
406#384C2×D5911yescharacteristic
407#380—591no—
408C4×C4⋊C4—591no—
409#340—591no—
410#340—591no—
411#340—591no—
412#340—591no—
413C59#2466911yescharacteristic, complemented, Sylow
414C22×Q8—591no—
415C22×Q8C22×D5911yescharacteristic
416C22×D4—21no—
417C22×D4C22×D5911yescharacteristic
418C23×C4C22×D5911yescharacteristic
419C2×Q16—1182no—
420C2×Q16—1182no—
421C2×Q16—2361no—
422C2×SD16—1182no—
423C2×SD16—1182no—
424C2×SD16—2361no—
425C22×C8—591no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429#124—22no—
430#124—22no—
431C22⋊Q8—41no—
432C22⋊Q8—41no—
433C22⋊Q8—1182no—
434C22⋊Q8—1182no—
435#121—41no—
436#121—41no—
437C4×Q8—1182no—
438C4×Q8—1182no—
439#117—22no—
440#117—22no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—1181no—
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—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4C22⋊D5911yescharacteristic
463C2×C22⋊C4C22⋊D5911yescharacteristic
464C2×C42—1181no—
465C2×C42—1181no—
466C2×C42C22×D5911yescharacteristic
467C2×C42C22×D5911yescharacteristic
468#106—2361no—
469#106—2361no—
470C4⋊C8—594no—
471C4⋊C8—1182no—
472#103—1182no—
473#103—1182no—
474#103—2361no—
475#103—2361no—
476#103—2361no—
477#102—1182no—
478#102—1182no—
479#102—2361no—
480C22⋊C8—1182no—
481C22⋊C8—1182no—
482#97—1182no—
483C4×C8—1182no—
484#95—21no—
485#95—21no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489#95—1181no—
490#95—1181no—
491C24—21no—
492C24C2×C22⋊D5911yescharacteristic
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—592no—
500C2×Q8—1181no—
501C2×Q8—1181no—
502C2×Q8—1181no—
503C2×Q8—1181no—
504C2×Q8—1181no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—42no—
512C2×D4—81no—
513C2×D4—81no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—1181no—
526C22×C4—1181no—
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533Q16—2364no—
534SD16—2364no—
535C2×C8—592no—
536C2×C8—592no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—81no—
555C4⋊C4—81no—
556C4⋊C4—592no—
557C4⋊C4—1184no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—4721no—
564C4⋊C4—2362no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—1184no—
574C22⋊C4—4721no—
575C42—21no—
576C42—21no—
577C42—4721no—
578C42—2362no—
579C42D4×D5912yes—
580C42#1174568712yes—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23C22×C22⋊D5911yescharacteristic
596Q8—41no—
597Q8—41no—
598Q8—41no—
599Q8—41no—
600Q8—1182no—
601Q8—1182no—
602Q8—2361no—
603Q8—2361no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—84no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
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—1182no—
636C2×C4—1182no—
637C2×C4—2361no—
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—2361no—
647C2×C4#1427369912yes—
648C2×C4#1427369912yes—
649C2×C4C2×D4×D5911yescharacteristic
650C2×C4#41×D5911yescharacteristic
651C2×C4#41×D5911yescharacteristic
652C2×C4C2×#1174568711yescharacteristic
653C2×C4#1427377211yescharacteristic
654C2×C4#1427377211yescharacteristic
655C8—1182no—
656C8—1182no—
657C8—2361no—
658C8—2361no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22C2×#1427369911yescharacteristic
674C22#1683790911yescharacteristic
675C22#1683796911yescharacteristic
676C22#1683821011yescharacteristic
677C22#1683821311yescharacteristic
678C22#1683821311yescharacteristic
679C22#1683821711yescharacteristic
680C4—22no—
681C4—22no—
682C4—41no—
683C4—41no—
684C4—41no—
685C4—81no—
686C4—81no—
687C4—81no—
688C4—4721no—
689C4—4721no—
690C4—2362no—
691C4—2362no—
692C4#1683804911yescharacteristic
693C4#1683807011yescharacteristic
694C4#1683809911yescharacteristic
695C4#1683811611yescharacteristic
696C2—81no—
697C2—161no—
698C2#2142751511yescharacteristic
699C2#2143375511yescharacteristic
700C2#2143378911yescharacteristic
701C2#2143431911yescharacteristic
702C2#2143436711yescharacteristic
703C2#2143516811yescharacteristic
704C2#2143520511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2620C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
hypercenter#2620D59
hypocenterC59#24669
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2620

Complements

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

NH ≅ G/Ntype
1. C2×#16837621C2semidirect
2. C2×#16837463C2semidirect
3. #21426778C2semidirect
4. #21425289C2semidirect
6. #21425104C2semidirect
8. #21425029C2semidirect
9. #21424966C2semidirect
10. #21424949C2semidirect
11. #21424857C2semidirect
12. #21424796C2semidirect
13. #21424775C2semidirect
14. #21424098C2semidirect
89. C4⋊(C59⋊C8)D4semidirect
413. C59#24669semidirect

Maximal subgroups

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

subgroupindex
C2×#168376212
C2×#168374632
#214267782
#214252892
#214252822
#214251042
#214250992
#214250292
#214249662
#214249492
#214248572
#214247962
#214247752
#214240982
C59×#26202
#2466959