Finite Group Databasebeta

← #28642985

Subgroups — #28642985

Order 15104.

1082 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×#16837801C211yesmaximal, characteristic, complemented
2C2×#16837756C211yesmaximal, characteristic, complemented
3#21432406C211yesmaximal, characteristic, complemented
4#21425296C211yesmaximal, characteristic, complemented
5#21425289C211yesmaximal, characteristic, complemented
6#21425282C211yesmaximal, characteristic
7#21425275C211yesmaximal, characteristic
8#21425062C211yesmaximal, characteristic, complemented
9#21424908C211yesmaximal, characteristic, complemented
10#21424364C211yesmaximal, characteristic, complemented
11#21424357C211yesmaximal, characteristic, complemented
12#21424350C211yesmaximal, characteristic, complemented
13#21424343C211yesmaximal, characteristic, complemented
14C4×C22⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
15C2×C59×#529C211yesmaximal, characteristic
16C2×#14273719C2211yescharacteristic
17#16837801—24no—
18#16837756—24no—
19C2×#14273660C2211yescharacteristic
20C2×#14273660C2211yescharacteristic
21C2×#14273658C2211yescharacteristic
22C2×#14273658C2211yescharacteristic
23C2×#14273651C2211yescharacteristic
24C2×#14273651C2211yescharacteristic
25C2×#14273651C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273648C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C4×C59⋊C8C2211yescharacteristic
34C2×C4×C59⋊C8C2211yescharacteristic
35#16837300C2211yescharacteristic
36#16837300C2211yescharacteristic
37#16837286—21no—
38#16837286—21no—
39#16837275—21no—
40#16837275—21no—
41#16837268C2211yescharacteristic
42#16837262C2211yescharacteristic
43#16837262C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C59×#529—24no—
51C59×#529—24no—
52C2×#126×C59—21no—
53C2×#125×C59C2211yescharacteristic
54C2×#124×C59C2211yescharacteristic
55C2×#123×C59—21no—
56C2×C22⋊Q8×C59C2211yescharacteristic
57C2×#121×C59C2211yescharacteristic
58C2×C4×Q8×C59C2211yescharacteristic
59C2×C4×D4×C59—21no—
60C2×C4×D4×C59C2211yescharacteristic
61C2×#117×C59—21no—
62C22×C42×C59C2211yescharacteristic
63C22×C59⋊C8C2311yescharacteristic
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67#14273719—22no—
68#14273719—22no—
69C2×C4⋊Dic59C2311yescharacteristic
70C2×C4⋊Dic59C2311yescharacteristic
71C2×C4⋊Dic59C2311yescharacteristic
72C2×C4⋊Dic59C2311yescharacteristic
73C2×Dic59⋊C4—21no—
74C2×Dic59⋊C4—21no—
75C2×Dic59⋊C4—21no—
76C2×Dic59⋊C4—21no—
77C2×C22⋊Dic59—21no—
78C2×C22⋊Dic59—21no—
79#14273660—22no—
80#14273660—22no—
81#14273658—22no—
82#14273658—22no—
83#14273651—22no—
84#14273651—22no—
85#14273651—22no—
86#14273651—22no—
87#14273648—22no—
88#14273648—22no—
89#14273648—22no—
90#14273648—22no—
91C22⋊(C59⋊C8)—22no—
92C22⋊(C59⋊C8)—22no—
93C4×C59⋊C8—22no—
94C4×C59⋊C8—22no—
95C59⋊#95—21no—
96C59⋊#95—21no—
97C59⋊#95—21no—
98C59⋊#95—21no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C22×Q8×C59C2311yescharacteristic
102C22×D4×C59—21no—
103C22×D4×C59C2311yescharacteristic
104C23×C4×C59—21no—
105C23×C4×C59D411yescharacteristic
106C23×C4×C59D411yescharacteristic
107C23×C4×C59C2311yescharacteristic
108#126×C59—28no—
109#125×C59—22no—
110#125×C59D414yes—
111#124×C59—22no—
112#124×C59D414yes—
113#123×C59—28no—
114C22⋊Q8×C59—22no—
115C22⋊Q8×C59—22no—
116#121×C59—22no—
117#121×C59—22no—
118C4×Q8×C59—22no—
119C4×Q8×C59—22no—
120C4×D4×C59—28no—
121C4×D4×C59—22no—
122C4×D4×C59—22no—
123#117×C59—28no—
124C2×C4⋊C4×C59—21no—
125C2×C4⋊C4×C59—21no—
126C2×C4⋊C4×C59—21no—
127C2×C4⋊C4×C59—21no—
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C22⋊C4×C59—21no—
131C2×C22⋊C4×C59—21no—
132C2×C22⋊C4×C59—21no—
133C2×C22⋊C4×C59—21no—
134C2×C22⋊C4×C59—21no—
135C2×C42×C59—21no—
136C2×C42×C59—22no—
137C2×C42×C59—22no—
138C2×C42×C59D411yescharacteristic
139C2×C42×C59D411yescharacteristic
140C2×C42×C59C2311yescharacteristic
141C2×C42×C59C2311yescharacteristic
142C24×C59—21no—
143C24×C59C2×D411yescharacteristic
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59—21no—
148C2×Q8×C59—21no—
149C2×Q8×C59C2×D412yes—
150C2×D4×C59—24no—
151C2×D4×C59—21no—
152C2×D4×C59—21no—
153C2×D4×C59—21no—
154C2×D4×C59—21no—
155C2×D4×C59—21no—
156C2×D4×C59—42no—
157C2×D4×C59—42no—
158C2×D4×C59C2×D412yes—
159C22×C4×C59—24no—
160C22×C4×C59—22no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—21no—
164C22×C4×C59—22no—
165C22×C4×C59—22no—
166C22×C4×C59—22no—
167C22×C4×C59—21no—
168C22×C4×C59—21no—
169C22×C4×C59—21no—
170C22×C4×C59—21no—
171C22×C4×C59—21no—
172C22×C4×C59—21no—
173C22×C4×C59—41no—
174C22×C4×C59—41no—
175C22×C4×C59—42no—
176C22×C4×C59—42no—
177C22×C4×C59C2×D411yescharacteristic
178C22×C4×C59C2×D411yescharacteristic
179C22×C4×C59C2×D411yescharacteristic
180C22×C4×C59C2×D411yescharacteristic
181C22×C4×C59C2×D411yescharacteristic
182C22×C4×C59C2411yescharacteristic
183C22×Dic59—21no—
184C22×Dic59—21no—
185C22×Dic59—21no—
186C22×Dic59—21no—
187C4⋊C4×C59—24no—
188C4⋊C4×C59—24no—
189C4⋊C4×C59—24no—
190C4⋊C4×C59—24no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59C2×D412yes—
194C4⋊C4×C59C2×D412yes—
195C22⋊C4×C59—24no—
196C22⋊C4×C59—24no—
197C22⋊C4×C59—24no—
198C22⋊C4×C59—24no—
199C22⋊C4×C59—24no—
200C42×C59—24no—
201C42×C59—22no—
202C42×C59—22no—
203C42×C59—21no—
204C42×C59—21no—
205C42×C59C2×D412yes—
206C42×C59C2×D412yes—
207C22⋊Dic59—42no—
208C22⋊Dic59—42no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59—21no—
216C4⋊Dic59—21no—
217Dic59⋊C4—42no—
218Dic59⋊C4—42no—
219Dic59⋊C4—42no—
220Dic59⋊C4—42no—
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⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8#4112yes—
232C2×C59⋊C8#4112yes—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—22no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59—41no—
246C23×C59#13512yes—
247C23×C59C22×D411yescharacteristic
248Q8×C59—22no—
249Q8×C59—22no—
250Q8×C59—41no—
251Q8×C59—41no—
252D4×C59—22no—
253D4×C59—22no—
254D4×C59—48no—
255D4×C59—41no—
256D4×C59—41no—
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—22no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
272C2×C4×C59—44no—
273C2×C4×C59—44no—
274C2×C4×C59—48no—
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—41no—
283C2×C4×C59—41no—
284C2×C4×C59—41no—
285C2×C4×C59#12012yes—
286C2×C4×C59#12012yes—
287C2×C4×C59#13512yes—
288C2×C4×C59C22×D411yescharacteristic
289C2×C4×C59C22×D411yescharacteristic
290C2×C4×C59C2×#4111yescharacteristic
291C2×C4×C59C2×#4111yescharacteristic
292C2×C4×C592−1+411yescharacteristic
293C2×C4×C592−1+411yescharacteristic
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302C2×Dic59—41no—
303C2×Dic59—41no—
304C2×Dic59—41no—
305C2×Dic59—41no—
306C59⋊C8—22no—
307C59⋊C8—22no—
308C59⋊C8—41no—
309C59⋊C8—41no—
310#25675—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—42no—
319C22×C59—42no—
320C22×C59—42no—
321C22×C59—81no—
322C22×C59—81no—
323C22×C59—81no—
324C22×C59—81no—
325C22×C59C2×#12011yescharacteristic
326C22×C59#53211yescharacteristic
327C22×C59#53611yescharacteristic
328C22×C59C2×#13511yescharacteristic
329C22×C59C2×#13511yescharacteristic
330C22×C59#57511yescharacteristic
331C22×C59#57511yescharacteristic
332C4×C59—22no—
333C4×C59—22no—
334C4×C59—22no—
335C4×C59—41no—
336C4×C59—42no—
337C4×C59—41no—
338C4×C59—42no—
339C4×C59—42no—
340C4×C59#54711yescharacteristic
341C4×C59#54711yescharacteristic
342C4×C59#54811yescharacteristic
343C4×C59#54811yescharacteristic
344Dic59—81no—
345Dic59—81no—
346Dic59—81no—
347Dic59—81no—
348C2×#529D5911yescharacteristic
349C2×#499—591no—
350C2×#488—591no—
351#2851—591no—
352#2036—591no—
353#2035—591no—
354#2034—591no—
355#2033—591no—
356#1991—591no—
357#1958—591no—
358#1865—591no—
359#1864—591no—
360#1863—591no—
361#1862—591no—
362C4×C22⋊C8—591no—
363C2×C59—42no—
364C2×C59—82no—
365C2×C59#243211yescharacteristic
366C2×C59#300211yescharacteristic
367C2×C59#300211yescharacteristic
368C2×C59#316811yescharacteristic
369C2×C59#318311yescharacteristic
370C2×C59#323211yescharacteristic
371C2×C59#323311yescharacteristic
372#529—24no—
373#529—24no—
374C2×#126—21no—
375C2×#125—591no—
376C2×#125C2×D5911yescharacteristic
377C2×#124C2×D5911yescharacteristic
378C2×#123—21no—
379C2×C22⋊Q8C2×D5911yescharacteristic
380C2×#121C2×D5911yescharacteristic
381C2×C4×Q8C2×D5911yescharacteristic
382C2×C4×D4—21no—
383C2×C4×D4C2×D5911yescharacteristic
384C2×#117—21no—
385C22×C42C2×D5911yescharacteristic
386#499—1184no—
387#488—1184no—
388C2×#107—591no—
389C2×#107—591no—
390C2×#106—591no—
391C2×#106—591no—
392C2×#103—591no—
393C2×#103—591no—
394C2×#103—591no—
395C2×#103—591no—
396C2×#102—591no—
397C2×#102—591no—
398C2×#102—591no—
399C2×#102—591no—
400C2×C22⋊C8—591no—
401C2×C22⋊C8—591no—
402C2×C4×C8—591no—
403C2×C4×C8—591no—
404#389—591no—
405#389—591no—
406#387—1181no—
407#387—1181no—
408#385—1181no—
409#385—1181no—
410#382—591no—
411#380—591no—
412#380—591no—
413#340—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417#336—591no—
418#336—591no—
419C59#2567511yescharacteristic, complemented, Sylow
420C22×Q8C22×D5911yescharacteristic
421C22×D4—21no—
422C22×D4C22×D5911yescharacteristic
423C23×C4—21no—
424C23×C4C22⋊D5911yescharacteristic
425C23×C4C22⋊D5911yescharacteristic
426C23×C4C22×D5911yescharacteristic
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430C22×C8—591no—
431#126—28no—
432#125—22no—
433#125—1182no—
434#125—1182no—
435#125C22⋊D5914yes—
436#124—22no—
437#124C22⋊D5914yes—
438#123—28no—
439C22⋊Q8—22no—
440C22⋊Q8—22no—
441#121—22no—
442#121—22no—
443C4×Q8—22no—
444C4×Q8—22no—
445C4×D4—28no—
446C4×D4—22no—
447C4×D4—22no—
448#117—28no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—591no—
454C2×C4⋊C4—591no—
455C2×C4⋊C4—591no—
456C2×C4⋊C4—591no—
457C2×C4⋊C4—1181no—
458C2×C4⋊C4—1181no—
459C2×C4⋊C4—1181no—
460C2×C4⋊C4—1181no—
461C2×C4⋊C4C22×D5911yescharacteristic
462C2×C4⋊C4C22×D5911yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—1181no—
469C2×C22⋊C4—1181no—
470C2×C42—21no—
471C2×C42—22no—
472C2×C42—22no—
473C2×C42C22⋊D5911yescharacteristic
474C2×C42C22⋊D5911yescharacteristic
475C2×C42C22×D5911yescharacteristic
476C2×C42C22×D5911yescharacteristic
477#107—1182no—
478#107—1182no—
479#106—1182no—
480#106—1182no—
481#103—1182no—
482#103—1182no—
483#103—1182no—
484#103—1182no—
485#102—1182no—
486#102—1182no—
487#102—1182no—
488#102—1182no—
489C22⋊C8—1182no—
490C22⋊C8—1182no—
491C4×C8—1182no—
492C4×C8—1182no—
493#95—1181no—
494#95—1181no—
495#95—1181no—
496#95—1181no—
497#95—1181no—
498#95—1181no—
499C24—21no—
500C24C2×C22⋊D5911yescharacteristic
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8C2×C22⋊D5912yes—
507C2×D4—24no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4C2×C22⋊D5912yes—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
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—42no—
533C22×C4—42no—
534C22×C4—1181no—
535C22×C4—1181no—
536C22×C4—1181no—
537C22×C4—1181no—
538C22×C4C2×C22⋊D5911yescharacteristic
539C22×C4C2×C22⋊D5911yescharacteristic
540C22×C4C2×C22⋊D5911yescharacteristic
541C22×C4C2×C22⋊D5911yescharacteristic
542C22×C4C2×C22⋊D5911yescharacteristic
543C22×C4C23×D5911yescharacteristic
544C2×C8—592no—
545C2×C8—592no—
546C2×C8—1181no—
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—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—1181no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—1181no—
567C4⋊C4—1181no—
568C4⋊C4—1181no—
569C4⋊C4—1181no—
570C4⋊C4—2362no—
571C4⋊C4—2362no—
572C4⋊C4—2362no—
573C4⋊C4—2362no—
574C4⋊C4C2×C22⋊D5912yes—
575C4⋊C4C2×C22⋊D5912yes—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—2362no—
582C22⋊C4—2362no—
583C42—24no—
584C42—22no—
585C42—22no—
586C42—21no—
587C42—21no—
588C42C2×C22⋊D5912yes—
589C42C2×C22⋊D5912yes—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23#1427374712yes—
604C23C22×C22⋊D5911yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—41no—
608Q8—41no—
609D4—22no—
610D4—22no—
611D4—48no—
612D4—41no—
613D4—41no—
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—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—48no—
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—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
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#1427369612yes—
655C2×C4#1427369612yes—
656C2×C4#1427374712yes—
657C2×C4C22×C22⋊D5911yescharacteristic
658C2×C4C22×C22⋊D5911yescharacteristic
659C2×C4#41×D5911yescharacteristic
660C2×C4#41×D5911yescharacteristic
661C2×C4#1427377411yescharacteristic
662C2×C4#1427377411yescharacteristic
663C8—1182no—
664C8—1182no—
665C8—2361no—
666C8—2361no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22C2×#1427369611yescharacteristic
682C22#1683794811yescharacteristic
683C22#1683797311yescharacteristic
684C22C2×#1427374711yescharacteristic
685C22C2×#1427374711yescharacteristic
686C22#1683820011yescharacteristic
687C22#1683820011yescharacteristic
688C4—22no—
689C4—22no—
690C4—22no—
691C4—41no—
692C4—42no—
693C4—41no—
694C4—42no—
695C4—42no—
696C4—4721no—
697C4—4721no—
698C4—4721no—
699C4—4721no—
700C4#1683805111yescharacteristic
701C4#1683805111yescharacteristic
702C4#1683805911yescharacteristic
703C4#1683805911yescharacteristic
704C2—42no—
705C2—82no—
706C2#2142772011yescharacteristic
707C2#2143331411yescharacteristic
708C2#2143331411yescharacteristic
709C2#2143466011yescharacteristic
710C2#2143481911yescharacteristic
711C2#2143526011yescharacteristic
712C2#2143527111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC2×C59×#529C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
hypercenterC2×#529D59
hypocenterC59#25675
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×#16837801C2semidirect
2. C2×#16837756C2semidirect
3. #21432406C2semidirect
4. #21425296C2semidirect
5. #21425289C2semidirect
8. #21425062C2semidirect
9. #21424908C2semidirect
10. #21424364C2semidirect
11. #21424357C2semidirect
12. #21424350C2semidirect
13. #21424343C2semidirect
14. C4×C22⋊(C59⋊C8)C2semidirect
419. C59#25675semidirect

Maximal subgroups

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

subgroupindex
C2×#168378012
C2×#168377562
#214324062
#214252962
#214252892
#214252822
#214252752
#214250622
#214249082
#214243642
#214243572
#214243502
#214243432
C4×C22⋊(C59⋊C8)2
C2×C59×#5292
#2567559