Finite Group Databasebeta

← #28629448

Subgroups — #28629448

Order 15104.

870 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837607C211yesmaximal, characteristic, complemented
2C2×#16837463C211yesmaximal, characteristic, complemented
3#21429862C211yesmaximal, characteristic, complemented
4#21425299C211yesmaximal, characteristic, complemented
5#21425292C211yesmaximal, characteristic, complemented
6#21425099C211yesmaximal, characteristic
7#21425099C211yesmaximal, characteristic
8#21425019C211yesmaximal, characteristic, complemented
9#21424976C211yesmaximal, characteristic, complemented
10#21424949C211yesmaximal, characteristic, complemented
11#21424864C211yesmaximal, characteristic, complemented
12#21424785C211yesmaximal, characteristic, complemented
13#21424771C211yesmaximal, characteristic, complemented
14#21424106C211yesmaximal, characteristic, complemented
15C59×#2324C211yesmaximal, characteristic
16C22×#11745670C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C2×#14273727C2211yescharacteristic
19C2×#14273706C2211yescharacteristic
20C2×#14273706C2211yescharacteristic
21#16837607—24no—
22#16837463—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×C4⋊(C59⋊C8)C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273650C2211yescharacteristic
31C2×#14273650C2211yescharacteristic
32C2×#14273650C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×C22⋊(C59⋊C8)C2211yescharacteristic
37C2×#14273638C2211yescharacteristic
38C2×C4×C59⋊C8C2211yescharacteristic
39#16837332—21no—
40#16837332—21no—
41#16837327—21no—
42#16837327—21no—
43#16837308C2211yescharacteristic
44#16837308C2211yescharacteristic
45#16837268C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×#121×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×#117×C59C2211yescharacteristic
53C59×#390—21no—
54C59×#390C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#388—21no—
57C59×#386—21no—
58C59×#385—21no—
59C59×#380C2211yescharacteristic
60C4×C4⋊C4×C59C2211yescharacteristic
61C22×Dic118C2311yescharacteristic
62C22×Dic118C2311yescharacteristic
63C2×#11745670—22no—
64C2×#11745670—22no—
65C2×#11745670—22no—
66C2×#11745670—22no—
67C2×#11745670—41no—
68C2×#11745670—41no—
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73#14273727—22no—
74#14273727—22no—
75#14273706—41no—
76#14273706—41no—
77#14273706—41no—
78#14273706—41no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—21no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×C22⋊Dic59—21no—
86C2×C22⋊Dic59—21no—
87#14273660—41no—
88#14273658—41no—
89C4⋊(C59⋊C8)—22no—
90C4⋊(C59⋊C8)D414yescomplemented
91#14273650—22no—
92#14273650—22no—
93#14273650—22no—
94#14273650—22no—
95#14273650—41no—
96#14273650—41no—
97#14273648—41no—
98#14273648—41no—
99C22⋊(C59⋊C8)—22no—
100C22⋊(C59⋊C8)—22no—
101#14273638—22no—
102C4×C59⋊C8—22no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C22×D4×C59—21no—
110C22×D4×C59C2311yescharacteristic
111C23×C4×C59—21no—
112C23×C4×C59C2311yescharacteristic
113#121×C59—22no—
114#121×C59—22no—
115C4×D4×C59—22no—
116C4×D4×C59—22no—
117#117×C59—22no—
118#117×C59—22no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59D411yescharacteristic
121C2×C4⋊C4×C59D411yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59—21no—
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C22⋊C4×C59D411yescharacteristic
132C2×C42×C59—21no—
133C2×C42×C59C2311yescharacteristic
134C2×C42×C59C2311yescharacteristic
135#95×C59—21no—
136#95×C59—21no—
137#95×C59—21no—
138C24×C59—21no—
139C24×C59C2×D411yescharacteristic
140C2×D4×C59—24no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—21no—
146C2×D4×C59—81no—
147C2×D4×C59—81no—
148C2×D4×C59#4112yes—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—42no—
159C22×C4×C59—81no—
160C22×C4×C59—81no—
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2411yescharacteristic
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C22×Dic59—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118—21no—
181C2×Dic118—21no—
182C2×Dic118—21no—
183C4⋊C4×C59—22no—
184C4⋊C4×C59—22no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—81no—
191C4⋊C4×C59#4112yes—
192C22⋊C4×C59—24no—
193C22⋊C4×C59—22no—
194C22⋊C4×C59—22no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—81no—
197C22⋊C4×C59—81no—
198C22⋊C4×C59—81no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59—81no—
202C42×C59C2×D412yes—
203C42×C59#4112yes—
204C22⋊Dic59—42no—
205C22⋊Dic59—42no—
206#11745670—44no—
207#11745670—44no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—42no—
213C4⋊Dic59—42no—
214Dic59⋊C4—42no—
215Dic59⋊C4—42no—
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—22no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59C22×D411yescharacteristic
243D4×C59—22no—
244D4×C59—22no—
245D4×C59—41no—
246D4×C59—41no—
247D4×C59—84no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—22no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
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—84no—
275C2×C4×C59#12112yes—
276C2×C4×C59#12112yes—
277C2×C4×C59C22×D411yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59H(5,𝔽2)11yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295Dic118—41no—
296Dic118—41no—
297Dic118—41no—
298Dic118—41no—
299Dic118—41no—
300Dic118—41no—
301Dic118—41no—
302Dic118—41no—
303C59⋊C8—22no—
304C59⋊C8—22no—
305C59⋊C8—41no—
306C59⋊C8—41no—
307#24666—591nomaximal, Sylow
308C22×C59—41no—
309C22×C59—42no—
310C22×C59—41no—
311C22×C59—42no—
312C22×C59—41no—
313C22×C59—42no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—81no—
319C22×C59—81no—
320C22×C59—81no—
321C22×C59—81no—
322C22×C59C2×#12111yescharacteristic
323C22×C59#52511yescharacteristic
324C22×C59#53511yescharacteristic
325C22×C59#57711yescharacteristic
326C22×C59#57711yescharacteristic
327C22×C59#57711yescharacteristic
328C22×C59#57811yescharacteristic
329C4×C59—22no—
330C4×C59—22no—
331C4×C59—42no—
332C4×C59—41no—
333C4×C59—41no—
334C4×C59—41no—
335C4×C59—81no—
336C4×C59—81no—
337C4×C59#54611yescharacteristic
338C4×C59#55011yescharacteristic
339C4×C59#55311yescharacteristic
340C4×C59#55511yescharacteristic
341Dic59—81no—
342Dic59—81no—
343Dic59—81no—
344Dic59—81no—
345C2×#461—591no—
346C2×#433—591no—
347#2621—591no—
348#2324D5911yescharacteristic
349#2036—591no—
350#2035—591no—
351#2000—591no—
352#2000—591no—
353#1981—591no—
354#1973—591no—
355#1968—591no—
356#1949—591no—
357#1935—591no—
358#1933—591no—
359#1804—591no—
360C2×C59—81no—
361C2×C59—82no—
362C2×C59#241411yescharacteristic
363C2×C59#305711yescharacteristic
364C2×C59#306311yescharacteristic
365C2×C59#312011yescharacteristic
366C2×C59#312311yescharacteristic
367C2×C59#322111yescharacteristic
368C2×C59#322511yescharacteristic
369C22×SD16—591no—
370C22×SD16—591no—
371C2×C4⋊Q8—591no—
372C2×C22⋊Q8—591no—
373C2×C22⋊Q8—591no—
374C2×#121C2×D5911yescharacteristic
375C2×C4×D4C2×D5911yescharacteristic
376C2×#117C2×D5911yescharacteristic
377#461—1184no—
378#433—1184no—
379C2×#107—591no—
380C2×#106—591no—
381C2×C4⋊C8—591no—
382C2×C4⋊C8—591no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#102—591no—
390C2×#102—591no—
391C2×C22⋊C8—591no—
392C2×C22⋊C8—591no—
393C2×#97—591no—
394C2×C4×C8—591no—
395#398—1181no—
396#398—1181no—
397#397—1181no—
398#397—1181no—
399#391—591no—
400#391—591no—
401#390—21no—
402#390C2×D5911yescharacteristic
403#389C2×D5911yescharacteristic
404#388—21no—
405#386—21no—
406#385—21no—
407#382—591no—
408#380C2×D5911yescharacteristic
409C4×C4⋊C4C2×D5911yescharacteristic
410#340—591no—
411#340—591no—
412#340—591no—
413#340—591no—
414C59#2466611yescharacteristic, complemented, Sylow
415C22×Q8—591no—
416C22×Q8—591no—
417C22×D4—21no—
418C22×D4C22×D5911yescharacteristic
419C23×C4—21no—
420C23×C4C22×D5911yescharacteristic
421C2×SD16—1182no—
422C2×SD16—1182no—
423C2×SD16—1182no—
424C2×SD16—1182no—
425C2×SD16—2361no—
426C2×SD16—2361no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430C22×C8—591no—
431C4⋊Q8—1182no—
432C4⋊Q8—1182no—
433C22⋊Q8—2361no—
434C22⋊Q8—2361no—
435C22⋊Q8—2361no—
436C22⋊Q8—2361no—
437#121—22no—
438#121—22no—
439C4×D4—22no—
440C4×D4—22no—
441#117—22no—
442#117—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—1181no—
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×C4⋊C4C22×D5911yescharacteristic
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—21no—
465C2×C42C22×D5911yescharacteristic
466C2×C42C22×D5911yescharacteristic
467#107—2361no—
468#106—2361no—
469C4⋊C8—594no—
470C4⋊C8—1182no—
471#103—1182no—
472#103—1182no—
473#103—1182no—
474#103—1182no—
475#103—2361no—
476#103—2361no—
477#102—2361no—
478#102—2361no—
479C22⋊C8—1182no—
480C22⋊C8—1182no—
481#97—1182no—
482C4×C8—1182no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489#95—1181no—
490#95—1181no—
491#95—1181no—
492C24—21no—
493C24C2×C22⋊D5911yescharacteristic
494C2×Q8—1181no—
495C2×Q8—1181no—
496C2×Q8—1181no—
497C2×Q8—1181no—
498C2×Q8—1181no—
499C2×Q8—1181no—
500C2×Q8—1181no—
501C2×Q8—1181no—
502C2×Q8—1181no—
503C2×Q8—1181no—
504C2×Q8—1181no—
505C2×Q8—1181no—
506C2×D4—24no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—81no—
513C2×D4—81no—
514C2×D4#1174568512yes—
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—21no—
524C22×C4—42no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—1181no—
528C22×C4—1181no—
529C22×C4—1181no—
530C22×C4—1181no—
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C2×C22⋊D5911yescharacteristic
534C22×C4C2×C22⋊D5911yescharacteristic
535C22×C4C2×C22⋊D5911yescharacteristic
536C22×C4C23×D5911yescharacteristic
537SD16—2364no—
538SD16—2364no—
539C2×C8—592no—
540C2×C8—592no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—81no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—2362no—
564C4⋊C4—2362no—
565C4⋊C4—2362no—
566C4⋊C4—2362no—
567C4⋊C4#1174568512yes—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C22⋊C4—81no—
575C22⋊C4—2362no—
576C22⋊C4—2362no—
577C42—21no—
578C42—21no—
579C42—81no—
580C42D4×D5912yes—
581C42#1174568712yes—
582C23—21no—
583C23—22no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23C22×C22⋊D5911yescharacteristic
597Q8—2361no—
598Q8—2361no—
599Q8—2361no—
600Q8—2361no—
601Q8—2361no—
602Q8—2361no—
603Q8—2361no—
604Q8—2361no—
605D4—22no—
606D4—22no—
607D4—41no—
608D4—41no—
609D4—84no—
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—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
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—84no—
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—2361no—
648C2×C4—2361no—
649C2×C4#1427369912yes—
650C2×C4#1427369912yes—
651C2×C4C2×D4×D5911yescharacteristic
652C2×C4C2×#1174568711yescharacteristic
653C2×C4C2×#1174568511yescharacteristic
654C2×C4C2×#1174568511yescharacteristic
655C2×C4#1427377311yescharacteristic
656C2×C4#1427377311yescharacteristic
657C8—1182no—
658C8—1182no—
659C8—2361no—
660C8—2361no—
661C22—41no—
662C22—41no—
663C22—42no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—42no—
669C22—41no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×#1427369911yescharacteristic
676C22#1683791311yescharacteristic
677C22#1683796611yescharacteristic
678C22#1683821311yescharacteristic
679C22#1683821311yescharacteristic
680C22#1683821311yescharacteristic
681C22#1683821711yescharacteristic
682C4—22no—
683C4—22no—
684C4—41no—
685C4—41no—
686C4—41no—
687C4—42no—
688C4—81no—
689C4—81no—
690C4—4721no—
691C4—4721no—
692C4—4721no—
693C4—4721no—
694C4#1683804811yescharacteristic
695C4#1683807311yescharacteristic
696C4#1683809811yescharacteristic
697C4#1683811711yescharacteristic
698C2—81no—
699C2—82no—
700C2#2142751411yescharacteristic
701C2#2143373211yescharacteristic
702C2#2143378911yescharacteristic
703C2#2143431011yescharacteristic
704C2#2143434811yescharacteristic
705C2#2143515111yescharacteristic
706C2#2143519911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2324C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
hypercenter#2324D59
hypocenterC59#24666
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
1. C2×#16837607C2semidirect
2. C2×#16837463C2semidirect
3. #21429862C2semidirect
4. #21425299C2semidirect
5. #21425292C2semidirect
8. #21425019C2semidirect
9. #21424976C2semidirect
10. #21424949C2semidirect
11. #21424864C2semidirect
12. #21424785C2semidirect
13. #21424771C2semidirect
14. #21424106C2semidirect
90. C4⋊(C59⋊C8)D4semidirect
414. C59#24666semidirect

Maximal subgroups

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

subgroupindex
C2×#168376072
C2×#168374632
#214298622
#214252992
#214252922
#214250992
#214250192
#214249762
#214249492
#214248642
#214247852
#214247712
#214241062
C59×#23242
#2466659