Finite Group Databasebeta

← #28629331

Subgroups — #28629331

Order 15104.

902 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837621C211yesmaximal, characteristic, complemented
2C2×#16837459C211yesmaximal, characteristic, complemented
3C4×#14273706C211yesmaximal, characteristic, complemented
4#21425296C211yesmaximal, characteristic, complemented
5#21425282C211yesmaximal, characteristic
6#21425104C211yesmaximal, characteristic, complemented
7#21425099C211yesmaximal, characteristic
8#21425029C211yesmaximal, characteristic, complemented
9#21424976C211yesmaximal, characteristic, complemented
10#21424966C211yesmaximal, characteristic, complemented
11#21424862C211yesmaximal, characteristic, complemented
12#21424796C211yesmaximal, characteristic, complemented
13#21424789C211yesmaximal, characteristic, complemented
14#21424108C211yesmaximal, characteristic, complemented
15C59×#2850C211yesmaximal, characteristic
16C22×#11745672C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20#16837621—24no—
21#16837459—24no—
22C2×#14273660C2211yescharacteristic
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×#14273638C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837286—21no—
41#16837275—21no—
42#16837262C2211yescharacteristic
43C4×Dic59⋊C4—21no—
44C4×C4⋊Dic59C2211yescharacteristic
45C4×C22⋊Dic59—21no—
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×#124×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×#121×C59C2211yescharacteristic
53C22×C42×C59C2211yescharacteristic
54C59×#391C2211yescharacteristic
55C59×#390C2211yescharacteristic
56C59×#388—21no—
57C59×#388—21no—
58C59×#386—21no—
59C59×#386—21no—
60C59×#382C2211yescharacteristic
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#14273660—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—
101#14273638—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×C59D411yescharacteristic
111C23×C4×C59D411yescharacteristic
112C23×C4×C59C2311yescharacteristic
113#124×C59—22no—
114#124×C59—22no—
115C22⋊Q8×C59—41no—
116C22⋊Q8×C59—41no—
117#121×C59—41no—
118#121×C59—41no—
119C2×C4⋊C4×C59—21no—
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×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C42×C59—22no—
129C2×C42×C59—22no—
130C2×C42×C59D411yescharacteristic
131C2×C42×C59D411yescharacteristic
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#95×C59—21no—
135#95×C59—21no—
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—42no—
154C2×D4×C59—42no—
155C22×C4×C59—22no—
156C22×C4×C59—22no—
157C22×C4×C59—22no—
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×C59—21no—
165C22×C4×C59—21no—
166C22×C4×C59—21no—
167C22×C4×C59—41no—
168C22×C4×C59—41no—
169C22×C4×C59—41no—
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59C2×D411yescharacteristic
173C22×C4×C59C2×D411yescharacteristic
174C22×C4×C59C2×D411yescharacteristic
175C22×C4×C59C2411yescharacteristic
176C22×Dic59—21no—
177C22×Dic59—21no—
178C22×Dic59—21no—
179C22×Dic59—21no—
180C2×Dic118—21no—
181C2×Dic118—21no—
182C2×Dic118—21no—
183C2×Dic118—21no—
184C2×Dic118—21no—
185C2×Dic118#4112yes—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—42no—
191C22⋊C4×C59—42no—
192C22⋊C4×C59—42no—
193C22⋊C4×C59—42no—
194C22⋊C4×C59—42no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—42no—
197C42×C59—22no—
198C42×C59—22no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59C2×D412yes—
202C42×C59#4112yes—
203C22⋊Dic59—24no—
204C22⋊Dic59—42no—
205#11745672—44no—
206#11745670—44no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59#4112yes—
213Dic59⋊C4—24no—
214Dic59⋊C4—42no—
215Dic59⋊C4—42no—
216C4×Dic59—42no—
217C4×Dic59—42no—
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⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8C2×D412yes—
229C2×C59⋊C8C2×D412yes—
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×C59—41no—
243C23×C59#13712yes—
244C23×C59C22×D411yescharacteristic
245Q8×C59—41no—
246Q8×C59—41no—
247Q8×C59—41no—
248Q8×C59—41no—
249D4×C59—41no—
250D4×C59—41no—
251D4×C59—41no—
252D4×C59—41no—
253D4×C59—84no—
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—21no—
266C2×C4×C59—21no—
267C2×C4×C59—44no—
268C2×C4×C59—44no—
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—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59#12112yes—
283C2×C4×C59#12112yes—
284C2×C4×C59C22×D411yescharacteristic
285C2×C4×C59C2×#4111yescharacteristic
286C2×C4×C59C2×#4111yescharacteristic
287C2×C4×C59C2×#4111yescharacteristic
288C2×C4×C59H(5,𝔽2)11yescharacteristic
289C2×C4×C59H(5,𝔽2)11yescharacteristic
290C2×Dic59—22no—
291C2×Dic59—22no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302Dic118—22no—
303Dic118—22no—
304Dic118—41no—
305Dic118—41no—
306C59⋊C8—22no—
307C59⋊C8—22no—
308C59⋊C8—41no—
309C59⋊C8—41no—
310#24657—591nomaximal, Sylow
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—22no—
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×C59—81no—
323C22×C59—81no—
324C22×C59—81no—
325C22×C59C2×#12111yescharacteristic
326C22×C59#52511yescharacteristic
327C22×C59#53511yescharacteristic
328C22×C59C2×#13711yescharacteristic
329C22×C59#57511yescharacteristic
330C22×C59#57511yescharacteristic
331C22×C59#57511yescharacteristic
332C4×C59—22no—
333C4×C59—22no—
334C4×C59—41no—
335C4×C59—41no—
336C4×C59—41no—
337C4×C59—81no—
338C4×C59—81no—
339C4×C59—81no—
340C4×C59#54611yescharacteristic
341C4×C59#55011yescharacteristic
342C4×C59#55311yescharacteristic
343C4×C59#55511yescharacteristic
344Dic59—42no—
345Dic59—42no—
346Dic59—81no—
347Dic59—81no—
348C2×#464—591no—
349C2×#432—591no—
350#2850D5911yescharacteristic
351C4×C22⋊Q8—591no—
352#2036—591no—
353#2034—591no—
354#2001—591no—
355#2000—591no—
356#1983—591no—
357#1973—591no—
358#1971—591no—
359#1949—591no—
360#1936—591no—
361#1935—591no—
362#1805—591no—
363C2×C59—42no—
364C2×C59—161no—
365C2×C59#241411yescharacteristic
366C2×C59#305411yescharacteristic
367C2×C59#305611yescharacteristic
368C2×C59#311111yescharacteristic
369C2×C59#311711yescharacteristic
370C2×C59#321511yescharacteristic
371C2×C59#321911yescharacteristic
372C22×Q16—591no—
373C22×SD16—591no—
374C2×#124C2×D5911yescharacteristic
375C2×C22⋊Q8—591no—
376C2×C22⋊Q8C2×D5911yescharacteristic
377C2×#121C2×D5911yescharacteristic
378C2×C4×Q8—591no—
379C22×C42C2×D5911yescharacteristic
380#464—1184no—
381#432—1184no—
382C2×#107—591no—
383C2×#106—591no—
384C2×C4⋊C8—591no—
385C2×C4⋊C8—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#103—591no—
390C2×#103—591no—
391C2×#102—591no—
392C2×#102—591no—
393C2×#102—591no—
394C2×C22⋊C8—591no—
395C2×C22⋊C8—591no—
396C2×#97—591no—
397C2×#97—591no—
398#391—591no—
399#391C2×D5911yescharacteristic
400#390C2×D5911yescharacteristic
401#389—591no—
402#388—21no—
403#388—21no—
404#387—1181no—
405#386—21no—
406#386—21no—
407#385—1181no—
408#382C2×D5911yescharacteristic
409#380—591no—
410C4×C4⋊C4—591no—
411C4×C4⋊C4—1181no—
412C4×C22⋊C4—1181no—
413#340—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417C59#2465711yescharacteristic, complemented, Sylow
418C22×Q8—591no—
419C22×Q8C22×D5911yescharacteristic
420C22×D4—21no—
421C22×D4C22×D5911yescharacteristic
422C23×C4C22⋊D5911yescharacteristic
423C23×C4C22⋊D5911yescharacteristic
424C23×C4C22×D5911yescharacteristic
425C2×Q16—1182no—
426C2×Q16—1182no—
427C2×Q16—2361no—
428C2×SD16—1182no—
429C2×SD16—1182no—
430C2×SD16—2361no—
431C22×C8—591no—
432C22×C8—591no—
433C22×C8—591no—
434C22×C8—591no—
435#124—22no—
436#124—22no—
437C22⋊Q8—41no—
438C22⋊Q8—41no—
439C22⋊Q8—1182no—
440C22⋊Q8—1182no—
441#121—41no—
442#121—41no—
443C4×Q8—1182no—
444C4×Q8—1182no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—591no—
449C2×C4⋊C4—1181no—
450C2×C4⋊C4—1181no—
451C2×C4⋊C4—1181no—
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×C42—22no—
463C2×C42—22no—
464C2×C42—1181no—
465C2×C42—1181no—
466C2×C42C22⋊D5911yescharacteristic
467C2×C42C22⋊D5911yescharacteristic
468C2×C42C22×D5911yescharacteristic
469C2×C42C22×D5911yescharacteristic
470#107—2361no—
471#106—2361no—
472C4⋊C8—594no—
473C4⋊C8—1182no—
474#103—1182no—
475#103—1182no—
476#103—2361no—
477#103—2361no—
478#103—2361no—
479#102—1182no—
480#102—1182no—
481#102—2361no—
482C22⋊C8—1182no—
483C22⋊C8—1182no—
484#97—1182no—
485#97—1182no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—1181no—
491#95—1181no—
492#95—1181no—
493#95—1181no—
494#95—1181no—
495C24—21no—
496C24C2×C22⋊D5911yescharacteristic
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—592no—
504C2×Q8—1181no—
505C2×Q8—1181no—
506C2×Q8—1181no—
507C2×Q8—1181no—
508C2×Q8—1181no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—42no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—1181no—
534C22×C4—1181no—
535C22×C4—1181no—
536C22×C4—1181no—
537C22×C4C2×C22⋊D5911yescharacteristic
538C22×C4C2×C22⋊D5911yescharacteristic
539C22×C4C2×C22⋊D5911yescharacteristic
540C22×C4C2×C22⋊D5911yescharacteristic
541C22×C4C2×C22⋊D5911yescharacteristic
542C22×C4C23×D5911yescharacteristic
543Q16—2364no—
544SD16—2364no—
545C2×C8—592no—
546C2×C8—592no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C2×C8—1181no—
552C2×C8—1181no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—592no—
563C4⋊C4—1184no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—1181no—
567C4⋊C4—1181no—
568C4⋊C4—1181no—
569C4⋊C4—2362no—
570C4⋊C4—2362no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—1184no—
578C22⋊C4—2362no—
579C42—22no—
580C42—22no—
581C42—21no—
582C42—21no—
583C42—2362no—
584C42—2362no—
585C42D4×D5912yes—
586C42#1174568712yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23#1427375712yes—
601C23C22×C22⋊D5911yescharacteristic
602Q8—41no—
603Q8—41no—
604Q8—41no—
605Q8—41no—
606Q8—1182no—
607Q8—1182no—
608Q8—2361no—
609Q8—2361no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—84no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—1182no—
644C2×C4—1182no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4—2361no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4#1427369912yes—
656C2×C4#1427369912yes—
657C2×C4C2×D4×D5911yescharacteristic
658C2×C4#41×D5911yescharacteristic
659C2×C4#41×D5911yescharacteristic
660C2×C4C2×#1174568711yescharacteristic
661C2×C4#1427377211yescharacteristic
662C2×C4#1427377211yescharacteristic
663C8—1182no—
664C8—1182no—
665C8—2361no—
666C8—2361no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22C2×#1427369911yescharacteristic
682C22#1683790911yescharacteristic
683C22#1683796911yescharacteristic
684C22C2×#1427375711yescharacteristic
685C22#1683820011yescharacteristic
686C22#1683820011yescharacteristic
687C22#1683820011yescharacteristic
688C4—22no—
689C4—22no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—81no—
694C4—81no—
695C4—81no—
696C4—4721no—
697C4—4721no—
698C4—2362no—
699C4—2362no—
700C4#1683804911yescharacteristic
701C4#1683807011yescharacteristic
702C4#1683809911yescharacteristic
703C4#1683811611yescharacteristic
704C2—42no—
705C2—161no—
706C2#2142751511yescharacteristic
707C2#2143370211yescharacteristic
708C2#2143372811yescharacteristic
709C2#2143419911yescharacteristic
710C2#2143426311yescharacteristic
711C2#2143509911yescharacteristic
712C2#2143513311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2850C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
hypercenter#2850D59
hypocenterC59#24657
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×C42 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. C2×#16837621C2semidirect
2. C2×#16837459C2semidirect
3. C4×#14273706C2semidirect
4. #21425296C2semidirect
6. #21425104C2semidirect
8. #21425029C2semidirect
9. #21424976C2semidirect
10. #21424966C2semidirect
11. #21424862C2semidirect
12. #21424796C2semidirect
13. #21424789C2semidirect
14. #21424108C2semidirect
89. C4⋊(C59⋊C8)D4semidirect
417. C59#24657semidirect

Maximal subgroups

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

subgroupindex
C2×#168376212
C2×#168374592
C4×#142737062
#214252962
#214252822
#214251042
#214250992
#214250292
#214249762
#214249662
#214248622
#214247962
#214247892
#214241082
C59×#28502
#2465759