Finite Group Databasebeta

← #28625700

Subgroups — #28625700

Order 15104.

1924 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273701C211yesmaximal, characteristic
2C2×#16837633C212yesmaximal, complemented
3C2×#16837552C211yesmaximal, characteristic, complemented
4C22×C22⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
5#21425285C212yesmaximal, complemented
6#21425097C212yesmaximal, complemented
7#21424522C212yesmaximal, complemented
8#21424404C211yesmaximal, characteristic, complemented
9#21424288C211yesmaximal, characteristic, complemented
10#21424026C211yesmaximal, characteristic, complemented
11C59×#2848C211yesmaximal, characteristic, complemented
12C23×D236C2211yescharacteristic
13C23×C22⋊D59—21no—
14C22×#11745671C2212yescomplemented
15C23×C59⋊C8C2212yescomplemented
16C2×#14273701—28no—
17C2×#14273701—21no—
18C2×#14273701—21no—
19C2×#14273701C2212yes—
20C2×#14273701C2212yes—
21C22×C4⋊Dic59C2211yescharacteristic
22C22×(C2×D59)⋊C4—21no—
23#16837633—28no—
24#16837552—24no—
25C2×#14273658C2212yescomplemented
26C2×#14273651C2212yescomplemented
27C2×#14273647C2212yescomplemented
28C2×#14273647C2212yescomplemented
29C2×#14273647C2212yescomplemented
30C2×C22⋊(C59⋊C8)—24no—
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2212yescomplemented
34#16837164C2212yescomplemented
35#16837164C2212yescomplemented
36C24×C4×C59C2211yescharacteristic
37C2×C22⋊Q8×C59C2211yescharacteristic
38C2×C22⋊Q8×C59C2211yescharacteristic, complemented
39C2×C22⋊Q8×C59C2211yescharacteristic, complemented
40C59×#385—21no—
41C59×#385—21no—
42C59×#385—21no—
43C59×#380C2211yescharacteristic
44C59×#380C2211yescharacteristic, complemented
45C59×#380C2211yescharacteristic, complemented
46C59×#379—21no—
47C24×D59—21no—
48C22×D236—21no—
49C22×D236—24no—
50C22×D236—22no—
51C22×D236—22no—
52C22×D236—42no—
53C22×D236C2312yes—
54C22×C22⋊D59—28no—
55C22×C22⋊D59—22no—
56C22×C22⋊D59—22no—
57C22×C22⋊D59—44no—
58C22×C22⋊D59—44no—
59C23×Dic59—21no—
60C2×#11745671—24no—
61C2×#11745671—24no—
62C2×#11745671—42no—
63C22×C59⋊C8—24no—
64C22×C59⋊C8—24no—
65C22×C59⋊C8—42no—
66C22×C59⋊C8C2312yes—
67C22×C59⋊C8C2312yes—
68#14273701—28no—
69#14273701—28no—
70#14273701—24no—
71#14273701—24no—
72#14273701—24no—
73#14273701D418yes—
74C2×C4⋊Dic59—21no—
75C2×C4⋊Dic59—24no—
76C2×C4⋊Dic59C2312yes—
77C2×(C2×D59)⋊C4—28no—
78C2×(C2×D59)⋊C4—22no—
79C2×(C2×D59)⋊C4—22no—
80#14273658—24no—
81#14273651—24no—
82#14273647—24no—
83#14273647—24no—
84#14273647—42no—
85C22⋊(C59⋊C8)—22no—
86C22⋊(C59⋊C8)—24no—
87C22⋊(C59⋊C8)D414yescomplemented
88C25×C59D411yescharacteristic
89C22×Q8×C59C2311yescharacteristic
90C23×C4×C59—24no—
91C23×C4×C59—22no—
92C23×C4×C59—22no—
93C23×C4×C59—42no—
94C23×C4×C59D411yescharacteristic
95C23×C4×C59D411yescharacteristic
96C23×C4×C59D411yescharacteristic
97C23×C4×C59C2311yescharacteristic
98C23×C4×C59C2311yescharacteristic
99C23×C4×C59C2311yescharacteristic
100C22⋊Q8×C59—24no—
101C22⋊Q8×C59—22no—
102C22⋊Q8×C59—22no—
103C22⋊Q8×C59—42no—
104C2×C4⋊C4×C59—21no—
105C2×C4⋊C4×C59—21no—
106C2×C4⋊C4×C59—21no—
107C2×C4⋊C4×C59C2311yescharacteristic
108C2×C4⋊C4×C59C2311yescharacteristic
109C2×C4⋊C4×C59C2311yescharacteristic
110C2×C22⋊C4×C59—21no—
111C2×C22⋊C4×C59—21no—
112C2×C22⋊C4×C59—21no—
113C2×C22⋊C4×C59—21no—
114C2×C22⋊C4×C59—21no—
115C2×C22⋊C4×C59—21no—
116#95×C59—21no—
117#95×C59—21no—
118#95×C59—21no—
119C24×C59—22no—
120C24×C59—22no—
121C24×C59—22no—
122C24×C59—22no—
123C24×C59—41no—
124C24×C59—41no—
125C24×C59SD1614yescomplemented
126C24×C59C2×D411yescharacteristic
127C24×C59C2×D411yescharacteristic
128C24×C59C2×D411yescharacteristic
129C23×D59—24no—
130C23×D59—22no—
131C23×D59—42no—
132C23×D59—42no—
133C23×D59—42no—
134C23×D59—42no—
135C23×D59—42no—
136C23×D59—42no—
137C2×Q8×C59—22no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—22no—
141C22×C4×C59—22no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59—22no—
147C22×C4×C59—22no—
148C22×C4×C59—22no—
149C22×C4×C59—22no—
150C22×C4×C59—22no—
151C22×C4×C59—22no—
152C22×C4×C59—21no—
153C22×C4×C59—22no—
154C22×C4×C59—21no—
155C22×C4×C59—22no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—41no—
161C22×C4×C59—41no—
162C22×C4×C59—41no—
163C22×C4×C59—48no—
164C22×C4×C59—48no—
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D414yes—
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D412yes—
170C22×C4×C59#4112yes—
171C22×C4×C59C2411yescharacteristic
172C2×C22⋊D59—28no—
173C2×C22⋊D59—28no—
174C2×C22⋊D59—432no—
175C2×C22⋊D59—44no—
176C2×C22⋊D59—44no—
177C2×C22⋊D59—44no—
178C2×C22⋊D59—44no—
179C22×Dic59—24no—
180C22×Dic59—22no—
181C22×Dic59—42no—
182C22×Dic59—42no—
183C2×D236—22no—
184C2×D236—22no—
185C2×D236—22no—
186C2×D236—22no—
187C2×D236—24no—
188C2×D236—22no—
189C2×D236—48no—
190C2×D236—48no—
191C2×D236—42no—
192C2×D236—42no—
193C2×D236C2×D414yes—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—22no—
196C4⋊C4×C59—21no—
197C4⋊C4×C59—22no—
198C4⋊C4×C59—42no—
199C4⋊C4×C59—42no—
200C4⋊C4×C59—42no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—42no—
203C22⋊C4×C59—42no—
204C22⋊C4×C59—42no—
205C22⋊C4×C59—42no—
206C22⋊C4×C59—42no—
207#11745671—48no—
208(C2×D59)⋊C4—28no—
209(C2×D59)⋊C4—28no—
210C4⋊Dic59—24no—
211C4⋊Dic59—22no—
212C4⋊Dic59C2×D414yes—
213C2×C59⋊C8—22no—
214C2×C59⋊C8—22no—
215C2×C59⋊C8—22no—
216C2×C59⋊C8—22no—
217C2×C59⋊C8—22no—
218C2×C59⋊C8—48no—
219C2×C59⋊C8C2×D414yescomplemented
220C23×C59—21no—
221C23×C59—21no—
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—28no—
235C23×C59—28no—
236C23×C59—44no—
237C23×C59—44no—
238C23×C59—44no—
239C23×C59—44no—
240C23×C59—44no—
241C23×C59#12012yes—
242C23×C59#12112yes—
243C23×C59C2×SD1612yes—
244C23×C59C2×SD1612yes—
245C23×C59C2×SD1612yes—
246C23×C59#13512yes—
247C23×C59AGL(1,ℤ/8)12yes—
248C23×C59C22×D411yescharacteristic
249C22×D59—24no—
250C22×D59—48no—
251C22×D59—48no—
252C22×D59—48no—
253C22×D59—42no—
254C22×D59—42no—
255C22×D59—42no—
256C22×D59—42no—
257C22×D59—42no—
258C22×D59—42no—
259C22×D59—84no—
260C22×D59—84no—
261C22×D59—84no—
262C22×D59—84no—
263Q8×C59—42no—
264Q8×C59—42no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—24no—
270C2×C4×C59—24no—
271C2×C4×C59—24no—
272C2×C4×C59—24no—
273C2×C4×C59—21no—
274C2×C4×C59—21no—
275C2×C4×C59—21no—
276C2×C4×C59—44no—
277C2×C4×C59—44no—
278C2×C4×C59—44no—
279C2×C4×C59—42no—
280C2×C4×C59—42no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59—41no—
284C2×C4×C59—41no—
285C2×C4×C59—41no—
286C2×C4×C59—41no—
287C2×C4×C59—41no—
288C2×C4×C59—41no—
289C2×C4×C59—41no—
290C2×C4×C59—41no—
291C2×C4×C59—41no—
292C2×C4×C59—41no—
293C2×C4×C59#12012yes—
294C2×C4×C59#12112yes—
295C2×C4×C59C22×D411yescharacteristic
296C2×C4×C59C22×D412yes—
297C2×C4×C59C2×#4111yescharacteristic
298C2×C4×C59H(5,𝔽2)12yes—
299C22⋊D59—416no—
300C22⋊D59—416no—
301C2×Dic59—24no—
302C2×Dic59—48no—
303C2×Dic59—42no—
304C2×Dic59—42no—
305D236—24no—
306D236—24no—
307D236—48no—
308D236—42no—
309D236—42no—
310C59⋊C8—24no—
311C59⋊C8—42no—
312#24379—591nomaximal, Sylow
313C22×C59—22no—
314C22×C59—22no—
315C22×C59—22no—
316C22×C59—22no—
317C22×C59—22no—
318C22×C59—22no—
319C22×C59—22no—
320C22×C59—22no—
321C22×C59—22no—
322C22×C59—22no—
323C22×C59—22no—
324C22×C59—22no—
325C22×C59—22no—
326C22×C59—22no—
327C22×C59—22no—
328C22×C59—416no—
329C22×C59—41no—
330C22×C59—41no—
331C22×C59—41no—
332C22×C59—41no—
333C22×C59#45014yescomplemented
334C22×C59#46514yescomplemented
335C22×C59C2×#12011yescharacteristic
336C22×C59C2×#12111yescharacteristic
337C22×C59#53411yescharacteristic
338C22×C59C22×SD1611yescharacteristic
339C22×C59C2×#13511yescharacteristic
340C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
341C22×C59#57511yescharacteristic
342C2×D59—44no—
343C2×D59—44no—
344C2×D59—44no—
345C2×D59—816no—
346C2×D59—82no—
347C2×D59—82no—
348C2×D59—82no—
349C2×D59—82no—
350C4×C59—22no—
351C4×C59—22no—
352C4×C59—41no—
353C4×C59—81no—
354C4×C59—81no—
355C4×C59—81no—
356C4×C59—81no—
357C4×C59D4212yes—
358C4×C59#54612yes—
359Dic59—44no—
360C22×#121—591no—
361C2×#465—592no—
362C2×#450—591no—
363C22×C22⋊C8—591no—
364#2848D5911yescharacteristic, complemented
365#2034—592no—
366#2000—592no—
367#1893—592no—
368#1872—591no—
369#1853—591no—
370#1786—591no—
371C2×C59—24no—
372C2×C59—24no—
373C2×C59—42no—
374C2×C59#241011yescharacteristic
375C2×C59C2×#45011yescharacteristic
376C2×C59#300211yescharacteristic
377C2×C59C2×#46511yescharacteristic
378C2×C59#305511yescharacteristic
379C2×C59#318711yescharacteristic
380C2×C59#318811yescharacteristic
381D59—84no—
382C23×D4—591no—
383C23×D4—1181no—
384C24×C4C2×D5911yescharacteristic
385C22×SD16—592no—
386C23×C8—592no—
387C2×C22⋊Q8C2×D5911yescharacteristic
388C2×C22⋊Q8C2×D5911yescharacteristic, complemented
389C2×C22⋊Q8C2×D5911yescharacteristic, complemented
390C2×#121—592no—
391C2×#121—592no—
392C2×#121—1188no—
393C2×#121—1181no—
394C2×#121—1181no—
395C22×C4⋊C4—591no—
396C22×C22⋊C4—1181no—
397#465—1188no—
398#450—1184no—
399C2×#106—592no—
400C2×#103—592no—
401C2×#102—592no—
402C2×#102—592no—
403C2×#102—592no—
404C2×C22⋊C8—591no—
405C2×C22⋊C8—591no—
406C2×C22⋊C8—592no—
407C2×C22⋊C8—1184no—
408#385—21no—
409#385—21no—
410#385—21no—
411#380C2×D5911yescharacteristic
412#380C2×D5911yescharacteristic, complemented
413#380C2×D5911yescharacteristic, complemented
414#379—21no—
415#340—592no—
416#340—592no—
417C59#2437911yescharacteristic, complemented, Sylow
418C25—1181no—
419C25C22⋊D5911yescharacteristic
420C22×Q8C22×D5911yescharacteristic
421C22×D4—592no—
422C22×D4—1184no—
423C22×D4—1188no—
424C22×D4—1182no—
425C22×D4—1182no—
426C22×D4—1182no—
427C22×D4—1182no—
428C22×D4—1181no—
429C22×D4—2362no—
430C22×D4—2364no—
431C22×D4—2364no—
432C23×C4—24no—
433C23×C4—22no—
434C23×C4—22no—
435C23×C4—42no—
436C23×C4—1181no—
437C23×C4C22⋊D5911yescharacteristic
438C23×C4C22⋊D5911yescharacteristic
439C23×C4C22⋊D5911yescharacteristic
440C23×C4C22×D5911yescharacteristic
441C23×C4C22×D5911yescharacteristic
442C23×C4C22×D5911yescharacteristic
443C2×SD16—1184no—
444C2×SD16—1184no—
445C2×SD16—2362no—
446C22×C8—592no—
447C22×C8—592no—
448C22×C8—1184no—
449C22×C8—1184no—
450C22×C8—2362no—
451C22⋊Q8—22no—
452C22⋊Q8—24no—
453C22⋊Q8—22no—
454C22⋊Q8—42no—
455#121—598no—
456#121—1184no—
457#121—1184no—
458#121—1188no—
459#121—1188no—
460#121—1184no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—592no—
465C2×C4⋊C4—1184no—
466C2×C4⋊C4—1181no—
467C2×C4⋊C4C22×D5911yescharacteristic
468C2×C4⋊C4C22×D5911yescharacteristic
469C2×C4⋊C4C22×D5911yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—1188no—
477C2×C22⋊C4—1182no—
478C2×C22⋊C4—1182no—
479#106—1184no—
480#103—1184no—
481#102—1184no—
482#102—1184no—
483#102—2362no—
484C22⋊C8—594no—
485C22⋊C8—1184no—
486C22⋊C8—1182no—
487#95—21no—
488#95—21no—
489#95—21no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—41no—
495C24—41no—
496C24—1184no—
497C24—1182no—
498C24—2362no—
499C24—2362no—
500C24—2362no—
501C24—2362no—
502C24—2362no—
503C24—2362no—
504C24#1174567114yescomplemented
505C24C2×C22⋊D5911yescharacteristic
506C24C2×C22⋊D5911yescharacteristic
507C24C2×C22⋊D5911yescharacteristic
508C2×Q8—22no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—22no—
512C2×D4—594no—
513C2×D4—1184no—
514C2×D4—1188no—
515C2×D4—1188no—
516C2×D4—1182no—
517C2×D4—1182no—
518C2×D4—1182no—
519C2×D4—1182no—
520C2×D4—1182no—
521C2×D4—2368no—
522C2×D4—2368no—
523C2×D4—2362no—
524C2×D4—23632no—
525C2×D4—2364no—
526C2×D4—2364no—
527C2×D4—2364no—
528C2×D4—2364no—
529C2×D4—2362no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—22no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—41no—
550C22×C4—41no—
551C22×C4—41no—
552C22×C4—48no—
553C22×C4—48no—
554C22×C4—1184no—
555C22×C4—1182no—
556C22×C4—2362no—
557C22×C4—2362no—
558C22×C4D4×D5914yes—
559C22×C4D4×D5912yes—
560C22×C4#1174568712yes—
561C22×C4C2×C22⋊D5911yescharacteristic
562C22×C4C2×C22⋊D5911yescharacteristic
563C22×C4C2×C22⋊D5911yescharacteristic
564C22×C4C23×D5911yescharacteristic
565SD16—2368no—
566C2×C8—594no—
567C2×C8—1182no—
568C2×C8—1182no—
569C2×C8—1182no—
570C2×C8—1182no—
571C2×C8—1182no—
572C2×C8—2368no—
573C4⋊C4—21no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—22no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—594no—
581C4⋊C4—1184no—
582C4⋊C4—1182no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C22⋊C4—1188no—
590C22⋊C4—1188no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—28no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—28no—
606C23—21no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—1184no—
613C23—4724no—
614C23—4724no—
615C23—4724no—
616C23—4724no—
617C23—2368no—
618C23—2368no—
619C23—2368no—
620C23—2362no—
621C23—2362no—
622C23—2362no—
623C23—2362no—
624C23—2362no—
625C23—2362no—
626C23#1427369512yes—
627C23#1427369912yes—
628C23C2×#1174567112yes—
629C23C2×#1174567112yes—
630C23C2×#1174567112yes—
631C23#1427374712yes—
632C23#1427375212yes—
633C23C22×C22⋊D5911yescharacteristic
634Q8—42no—
635Q8—42no—
636D4—1184no—
637D4—1184no—
638D4—2368no—
639D4—23616no—
640D4—23616no—
641D4—2362no—
642D4—2362no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—1184no—
672C2×C4—2368no—
673C2×C4—2362no—
674C2×C4—2362no—
675C2×C4#1427369512yes—
676C2×C4#1427369912yes—
677C2×C4C2×D4×D5911yescharacteristic
678C2×C4C2×D4×D5912yes—
679C2×C4C2×#1174568711yescharacteristic
680C2×C4#1427377212yes—
681C8—1184no—
682C8—2362no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—416no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—47216no—
704C22—4722no—
705C22—4722no—
706C22—4722no—
707C22—4722no—
708C22—2364no—
709C22—2364no—
710C22—2364no—
711C22#1683755214yescomplemented
712C22#1683763314yescomplemented
713C22C2×#1427369511yescharacteristic
714C22C2×#1427369911yescharacteristic
715C22#1683796111yescharacteristic
716C22C22×#1174567111yescharacteristic
717C22C2×#1427374711yescharacteristic
718C22C2×#1427375211yescharacteristic
719C22#1683820011yescharacteristic
720C4—22no—
721C4—22no—
722C4—41no—
723C4—81no—
724C4—81no—
725C4—81no—
726C4—81no—
727C4—2364no—
728C4#1683803412yes—
729C4#1683803912yes—
730C2—24no—
731C2—24no—
732C2—42no—
733C2—4724no—
734C2#2142747111yescharacteristic
735C2C2×#1683755211yescharacteristic
736C2#2143331211yescharacteristic
737C2C2×#1683763311yescharacteristic
738C2#2143371711yescharacteristic
739C2#2143484911yescharacteristic
740C2#2143485711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2848C2
socleC23×C59C22×D4
prime radicalC22×#14273701C2
hypercenter#2848D59
hypocenterC59#24379
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C24×C4 ◁ #2848

Complements

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

NH ≅ G/Ntype
2. C2×#16837633C2semidirect
3. C2×#16837552C2semidirect
4. C22×C22⋊(C59⋊C8)C2semidirect
5. #21425285C2semidirect
6. #21425097C2semidirect
7. #21424522C2semidirect
8. #21424404C2semidirect
9. #21424288C2semidirect
10. #21424026C2semidirect
11. C59×#2848C2semidirect
14. C22×#11745671C22semidirect
15. C23×C59⋊C8C22semidirect
25. C2×#14273658C22semidirect
26. C2×#14273651C22semidirect
27. C2×#14273647C22semidirect
28. C2×#14273647C22semidirect
29. C2×#14273647C22semidirect
33. C2×C22⋊(C59⋊C8)C22semidirect
34. #16837164C22semidirect
35. #16837164C22semidirect
38. C2×C22⋊Q8×C59C22semidirect
39. C2×C22⋊Q8×C59C22semidirect
44. C59×#380C22semidirect
45. C59×#380C22semidirect
87. C22⋊(C59⋊C8)D4semidirect
125. C24×C59SD16semidirect
219. C2×C59⋊C8C2×D4semidirect
333. C22×C59#450semidirect
334. C22×C59#465semidirect
364. #2848D59semidirect
388. C2×C22⋊Q8C2×D59semidirect
389. C2×C22⋊Q8C2×D59semidirect
412. #380C2×D59semidirect
413. #380C2×D59semidirect
417. C59#24379semidirect
504. C24#11745671semidirect
711. C22#16837552semidirect
712. C22#16837633semidirect

Maximal subgroups

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

subgroupindex
C22×#142737012
C2×#168376332
C2×#168375522
C22×C22⋊(C59⋊C8)2
#214252852
#214250972
#214245222
#214244042
#214242882
#214240262
C59×#28482
#2437959