Finite Group Databasebeta

← #28556398

Subgroups — #28556398

Order 15104.

1070 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437892C211yesmaximal, characteristic
2#21433118C211yesmaximal, characteristic
3#21427003C211yesmaximal, characteristic
4#21422669C211yesmaximal, characteristic, complemented
5#21422668C211yesmaximal, characteristic, complemented
6#21422666C212yesmaximal, complemented
7#21422658C212yesmaximal, complemented
8#21422593C212yesmaximal, complemented
9C2×#16837138C211yesmaximal, characteristic, complemented
10#328×D59C212yesmaximal, complemented
11C2×C59×#328C211yesmaximal, characteristic, complemented
12#16838110C412yescomplemented
13#16838107—22no—
14#16838107C412yescomplemented
15#16838106—22no—
16Q8×C22⋊D59C412yescomplemented
17#16838065C412yescomplemented
18#16838031—21no—
19#16838028—21no—
20#16838027—21no—
21#16837954C2212yes—
22C2×#14273706C2211yescharacteristic
23C22⋊Q8×D59C2212yes—
24#16837875—21no—
25C2×C4×C22⋊D59—21no—
26C2×C4×C22⋊D59C2211yescharacteristic
27C8×C22⋊D59—22no—
28(C22⋊D59)⋊C8—22no—
29#16837452C2212yes—
30C2×C22⋊(C59⋊C8)C2211yescharacteristic
31C22⋊C8×D59C2212yes—
32#16837299—21no—
33#16837276—21no—
34#16837275—21no—
35#16837266C2211yescharacteristic
36#16837262C2211yescharacteristic
37#16837261C2211yescharacteristic
38#16837253C2211yescharacteristic
39#95×D59C2211yescharacteristic
40#16837140C2212yes—
41#16837140C2212yes—
42#16837139C2212yes—
43#16837139C2212yes—
44#16837138C2212yes—
45#16837138C2212yes—
46C2×C22⋊Q8×C59C2211yescharacteristic
47C2×C22⋊C8×C59C2211yescharacteristic
48C2×#95×C59C2211yescharacteristic
49C59×#328C2212yes—
50C59×#328C2212yes—
51C22×Dic118C2×C411yescharacteristic, complemented
52C2×Q8×D59C2×C412yescomplemented
53C22×C22⋊D59D411yescharacteristic
54C22×C4×D59—21no—
55C22×C4×D59C2311yescharacteristic
56C22×C59⋊C8—21no—
57C2×C8×D59—22no—
58#14273726—22no—
59#14273726C2×C412yescomplemented
60#14273725—22no—
61#14273725C2×C412yescomplemented
62#14273717—22no—
63#14273717—22no—
64#14273717—22no—
65#14273707—22no—
66#14273707C2×C412yescomplemented
67#14273706—21no—
68#14273706—21no—
69#14273706—22no—
70#14273706—22no—
71#14273706C2×C412yescomplemented
72#14273706C2312yes—
73#14273705—22no—
74#14273705—22no—
75#14273705—22no—
76#14273704—22no—
77#14273704—22no—
78#14273704—22no—
79#14273704—22no—
80#14273703—22no—
81#14273703C2×C412yescomplemented
82Q8×Dic59C2×C412yescomplemented
83#14273692—22no—
84#14273692C2×C412yescomplemented
85C4×C22⋊D59—22no—
86C4×C22⋊D59—22no—
87C4×C22⋊D59—44no—
88C4×C22⋊D59C2×C412yes—
89C4×C22⋊D59C2×C412yes—
90C4×C22⋊D59D412yes—
91C4×C22⋊D59D412yes—
92(C22⋊D59)⋊C4—22no—
93(C22⋊D59)⋊C4—22no—
94#14273683—22no—
95C2×C4⋊Dic59—21no—
96C2×C4⋊Dic59C2×C411yescharacteristic, complemented
97C2×Dic59⋊C4—21no—
98C2×Dic59⋊C4—21no—
99C2×Dic59⋊C4—21no—
100C2×Dic59⋊C4—21no—
101C2×Dic59⋊C4D411yescharacteristic
102C4⋊C4×D59—22no—
103C4⋊C4×D59C2×C412yescomplemented
104C2×C22⋊Dic59—21no—
105C2×C22⋊Dic59—21no—
106C2×C22⋊Dic59D411yescharacteristic
107C2×(C2×D59)⋊C4—21no—
108C2×(C2×D59)⋊C4D411yescharacteristic
109C22⋊C4×D59—22no—
110C2×C4×Dic59—21no—
111C2×C4×Dic59C2311yescharacteristic
112Dic59⋊C8—22no—
113C22⋊(C59⋊C8)—21no—
114C22⋊(C59⋊C8)C2312yes—
115(C2×D59)⋊C8—22no—
116C8×Dic59—22no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95C2311yescharacteristic
120C59⋊#95C2311yescharacteristic
121C22×Q8×C59C2×C411yescharacteristic, complemented
122C23×C4×C59—21no—
123C23×C4×C59C2311yescharacteristic
124C22×C8×C59—21no—
125C22⋊Q8×C59—21no—
126C22⋊Q8×C59—21no—
127C22⋊Q8×C59C2×C412yescomplemented
128C22⋊Q8×C59C2312yes—
129C2×C4⋊C4×C59—21no—
130C2×C4⋊C4×C59C2×C411yescharacteristic, complemented
131C2×C22⋊C4×C59—21no—
132C22⋊C8×C59—21no—
133C22⋊C8×C59C2312yes—
134#95×C59—21no—
135#95×C59C2311yescharacteristic
136#95×C59C2311yescharacteristic
137C24×C59C2×D411yescharacteristic
138C23×D59C2×D411yescharacteristic
139C2×Q8×C59—21no—
140C2×Q8×C59—81no—
141C2×Q8×C59C22×C412yes—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—42no—
147C22×C4×C59—42no—
148C22×C4×C59—81no—
149C22×C4×C59—81no—
150C22×C4×C59C22×C411yescharacteristic
151C22×C4×C59C22×C411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2411yescharacteristic
156C2×C22⋊D59C22⋊C412yes—
157C2×C22⋊D59C22⋊C412yes—
158C2×C22⋊D59SD1614yes—
159C2×C22⋊D59Q1614yes—
160C22×Dic59—21no—
161C22×Dic59—21no—
162C22×Dic59—21no—
163C22×Dic59—21no—
164C22×Dic59C2×D411yescharacteristic
165C22×Dic59C2×D411yescharacteristic
166C22×Dic59C2×D411yescharacteristic
167Q8×D59—82no—
168C2×C4×D59—22no—
169C2×C4×D59—22no—
170C2×C4×D59—42no—
171C2×C4×D59—42no—
172C2×C4×D59—81no—
173C2×C4×D59—81no—
174C2×C4×D59C22×C412yes—
175C2×C4×D59C2×D412yes—
176C2×Dic118—21no—
177C2×Dic118—22no—
178C2×Dic118—22no—
179C2×Dic118—81no—
180C2×Dic118C22×C412yes—
181C2×C8×C59—22no—
182C2×C8×C59—81no—
183C4⋊C4×C59—22no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—22no—
186C4⋊C4×C59C22×C412yes—
187C22⋊C4×C59—22no—
188C22⋊C4×C59—22no—
189C22⋊Dic59—22no—
190C22⋊Dic59—22no—
191C22⋊Dic59—42no—
192C22⋊Dic59C22⋊C412yes—
193C22⋊Dic59C22⋊C412yes—
194(C2×D59)⋊C4—22no—
195(C2×D59)⋊C4—22no—
196(C2×D59)⋊C4—42no—
197(C2×D59)⋊C4C22⋊C412yes—
198(C2×D59)⋊C4C22⋊C412yes—
199C4⋊Dic59—21no—
200C4⋊Dic59—22no—
201C4⋊Dic59—22no—
202C4⋊Dic59—81no—
203C4⋊Dic59C22×C412yes—
204Dic59⋊C4—22no—
205Dic59⋊C4—22no—
206Dic59⋊C4—22no—
207Dic59⋊C4—22no—
208Dic59⋊C4—22no—
209Dic59⋊C4—22no—
210Dic59⋊C4—22no—
211Dic59⋊C4—22no—
212Dic59⋊C4—42no—
213Dic59⋊C4—42no—
214Dic59⋊C4—81no—
215Dic59⋊C4C22⋊C412yes—
216Dic59⋊C4C22⋊C412yes—
217C4×Dic59—22no—
218C4×Dic59—22no—
219C4×Dic59—42no—
220C4×Dic59C22×C412yes—
221C4×Dic59C2×D412yes—
222C2×C59⋊C8—22no—
223C2×C59⋊C8—81no—
224C8×D59—82no—
225C23×C59—41no—
226C23×C59—41no—
227C23×C59C2×C22⋊C411yescharacteristic
228C23×C59C2×C22⋊C411yescharacteristic
229C23×C59C2×SD1612yes—
230C23×C59C2×Q1612yes—
231C23×C59C22×D411yescharacteristic
232C22×D59—41no—
233C22×D59—41no—
234C22×D59C2×C22⋊C412yes—
235C22×D59C2×SD1612yes—
236C22×D59C2×Q1612yes—
237Q8×C59—42no—
238Q8×C59—81no—
239C2×C4×C59—22no—
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—41no—
243C2×C4×C59—41no—
244C2×C4×C59—41no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—81no—
254C2×C4×C59—81no—
255C2×C4×C59—84no—
256C2×C4×C59C2×C22⋊C411yescharacteristic
257C2×C4×C59C2×C22⋊C411yescharacteristic
258C2×C4×C59C23×C411yescharacteristic
259C2×C4×C59C22×D411yescharacteristic
260C22⋊D59#10318yes—
261C22⋊D59#10318yes—
262C2×Dic59—22no—
263C2×Dic59—22no—
264C2×Dic59—41no—
265C2×Dic59—41no—
266C2×Dic59—41no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—81no—
273C2×Dic59—81no—
274C2×Dic59C2×C22⋊C412yes—
275C2×Dic59C2×C22⋊C412yes—
276C2×Dic59C2×C22⋊C412yes—
277C2×Dic59C2×SD1612yes—
278C2×Dic59C2×Q1612yes—
279C4×D59—42no—
280C4×D59—42no—
281C4×D59—82no—
282C4×D59—82no—
283C4×D59—84no—
284Dic118—42no—
285Dic118—82no—
286Dic118—82no—
287Dic118—81no—
288C8×C59—42no—
289C59⋊C8—42no—
290#17614—591nomaximal, Sylow
291C22×C59—21no—
292C22×C59—21no—
293C22×C59—21no—
294C22×C59—21no—
295C22×C59—21no—
296C22×C59—21no—
297C22×C59—42no—
298C22×C59—42no—
299C22×C59C2×#10312yes—
300C22×C59C2×#10312yes—
301C22×C59C22×C22⋊C411yescharacteristic
302C22×C59C22×SD1611yescharacteristic
303C22×C59C22×Q1611yescharacteristic
304C2×D59—22no—
305C2×D59—22no—
306C2×D59—42no—
307C2×D59—42no—
308C2×D59C2×#10314yes—
309C4×C59—21no—
310C4×C59—21no—
311C4×C59—21no—
312C4×C59—21no—
313C4×C59—42no—
314C4×C59—42no—
315C4×C59—42no—
316C4×C59—81no—
317Dic59—22no—
318Dic59—22no—
319Dic59—42no—
320Dic59—42no—
321Dic59—81no—
322Dic59—81no—
323Dic59C2×#10314yes—
324#3501—591no—
325#2972—591no—
326#2349—591no—
327#1520—591no—
328#1520—592no—
329#1520—591no—
330#1518—592no—
331#1503—592no—
332C2×#328—591no—
333C2×#328—592no—
334C2×#328D5911yescharacteristic, complemented
335C2×C59—21no—
336C2×C59—21no—
337C2×C59—22no—
338C2×C59—22no—
339C2×C59#288311yescharacteristic
340C2×C59C22×#10311yescharacteristic
341C2×C59#290111yescharacteristic
342D59—24no—
343#554—592no—
344#554—592no—
345#554—1182no—
346#554—1182no—
347D4×Q8—592no—
348D4×Q8—592no—
349#544—1181no—
350#543—1181no—
351#543—1181no—
352#533—592no—
353C2×C22⋊Q8—591no—
354C2×C22⋊Q8—592no—
355C2×C22⋊Q8C2×D5911yescharacteristic
356#518—1181no—
357C2×C4×D4—591no—
358C2×C4×D4—1181no—
359C8×D4—1182no—
360C8×D4—1182no—
361#431—592no—
362C2×C22⋊C8—591no—
363C2×C22⋊C8—592no—
364C2×C22⋊C8C2×D5911yescharacteristic
365#389—1181no—
366#385—1181no—
367#385—1181no—
368#382—591no—
369#380—591no—
370#380—591no—
371C4×C4⋊C4—591no—
372C2×#95—591no—
373C2×#95C2×D5911yescharacteristic
374#328—592no—
375#328—592no—
376#328—592no—
377#328—592no—
378#328—592no—
379#328—592no—
380#328C2×D5912yes—
381#328C2×D5912yes—
382C59#1761411yescharacteristic, complemented, Sylow
383C22×Q8—592no—
384C22×Q8—591no—
385C22×Q8C4×D5911yescharacteristic, complemented
386C22×D4—591no—
387C23×C4—21no—
388C23×C4—591no—
389C23×C4—1181no—
390C23×C4C22×D5911yescharacteristic
391C22×C8—21no—
392C22×C8—1182no—
393C22×C8—1181no—
394C4⋊Q8—592no—
395C4⋊Q8—592no—
396C4⋊Q8—1182no—
397C4⋊Q8—1182no—
398#125—1182no—
399#125—1182no—
400#125—1182no—
401C22⋊Q8—21no—
402C22⋊Q8—21no—
403C22⋊Q8—592no—
404C22⋊Q8—592no—
405C22⋊Q8—592no—
406C22⋊Q8—592no—
407C22⋊Q8—1182no—
408C22⋊Q8—1182no—
409C22⋊Q8—1182no—
410C22⋊Q8—1182no—
411C22⋊Q8—1182no—
412C22⋊Q8—1182no—
413C22⋊Q8—1182no—
414C22⋊Q8—1182no—
415C22⋊Q8—1182no—
416C22⋊Q8—1182no—
417C22⋊Q8—1182no—
418C22⋊Q8—1181no—
419C22⋊Q8—1181no—
420C22⋊Q8C4×D5912yescomplemented
421C22⋊Q8C22×D5912yes—
422C4×Q8—592no—
423C4×Q8—592no—
424C4×Q8—1182no—
425C4×D4—592no—
426C4×D4—592no—
427C4×D4—592no—
428C4×D4—592no—
429C4×D4—1182no—
430C4×D4—1182no—
431C4×D4—1182no—
432C4×D4—1182no—
433C4×D4—2364no—
434#117—1182no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—592no—
439C2×C4⋊C4—1182no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4C4×D5911yescharacteristic, complemented
446C2×C22⋊C4—21no—
447C2×C22⋊C4—591no—
448C2×C22⋊C4—591no—
449C2×C22⋊C4—1182no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C42—591no—
454C2×C42—1181no—
455C4⋊C8—1182no—
456C22⋊C8—21no—
457C22⋊C8—592no—
458C22⋊C8—1182no—
459C22⋊C8—1181no—
460C22⋊C8C22×D5912yes—
461C4×C8—1182no—
462#95—21no—
463#95—591no—
464#95—591no—
465#95—1181no—
466#95—1181no—
467#95C22×D5911yescharacteristic
468#95C22×D5911yescharacteristic
469C24—591no—
470C24D4×D5911yescharacteristic
471C2×Q8—21no—
472C2×Q8—81no—
473C2×Q8—592no—
474C2×Q8—1182no—
475C2×Q8—1182no—
476C2×Q8—1181no—
477C2×Q8—4721no—
478C2×Q8—4722no—
479C2×Q8C2×C4×D5912yes—
480C2×D4—592no—
481C2×D4—592no—
482C2×D4—594no—
483C2×D4—594no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4—591no—
493C22×C4—591no—
494C22×C4—591no—
495C22×C4—592no—
496C22×C4—592no—
497C22×C4—1182no—
498C22×C4—1182no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4—1181no—
503C22×C4—4721no—
504C22×C4—4721no—
505C22×C4—2362no—
506C22×C4—2362no—
507C22×C4C2×C4×D5911yescharacteristic
508C22×C4C2×C4×D5911yescharacteristic
509C22×C4D4×D5911yescharacteristic
510C22×C4D4×D5911yescharacteristic
511C22×C4D4×D5911yescharacteristic
512C22×C4C23×D5911yescharacteristic
513C2×C8—22no—
514C2×C8—81no—
515C2×C8—1182no—
516C2×C8—4722no—
517C2×C8—4721no—
518C4⋊C4—22no—
519C4⋊C4—21no—
520C4⋊C4—22no—
521C4⋊C4—592no—
522C4⋊C4—592no—
523C4⋊C4—592no—
524C4⋊C4—1182no—
525C4⋊C4—1182no—
526C4⋊C4—1182no—
527C4⋊C4—1182no—
528C4⋊C4—1182no—
529C4⋊C4—1182no—
530C4⋊C4—1182no—
531C4⋊C4—1182no—
532C4⋊C4—1181no—
533C4⋊C4—1182no—
534C4⋊C4—1182no—
535C4⋊C4—4721no—
536C4⋊C4—4721no—
537C4⋊C4—2362no—
538C4⋊C4—2362no—
539C4⋊C4C2×C4×D5912yes—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—592no—
543C22⋊C4—592no—
544C22⋊C4—592no—
545C22⋊C4—592no—
546C22⋊C4—1182no—
547C22⋊C4—1182no—
548C22⋊C4—1182no—
549C22⋊C4—1182no—
550C22⋊C4—2362no—
551C22⋊C4—2362no—
552C42—592no—
553C42—592no—
554C42—1182no—
555C42—1182no—
556C42—2362no—
557C23—41no—
558C23—41no—
559C23—592no—
560C23—592no—
561C23—592no—
562C23—2361no—
563C23—2361no—
564C23C22⋊C4×D5911yescharacteristic
565C23C22⋊C4×D5911yescharacteristic
566C23SD16×D5912yes—
567C23Q16×D5912yes—
568C23C2×D4×D5911yescharacteristic
569Q8—42no—
570Q8—81no—
571Q8—4721no—
572Q8—4722no—
573Q8—4722no—
574Q8—2362no—
575D4—598no—
576D4—598no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—81no—
592C2×C4—81no—
593C2×C4—84no—
594C2×C4—592no—
595C2×C4—592no—
596C2×C4—592no—
597C2×C4—592no—
598C2×C4—592no—
599C2×C4—1182no—
600C2×C4—1182no—
601C2×C4—4724no—
602C2×C4—4722no—
603C2×C4—4722no—
604C2×C4—4721no—
605C2×C4—4721no—
606C2×C4—2362no—
607C2×C4—2362no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4—2361no—
616C2×C4C22⋊C4×D5911yescharacteristic
617C2×C4C22⋊C4×D5911yescharacteristic
618C2×C4C22×C4×D5911yescharacteristic
619C2×C4C2×D4×D5911yescharacteristic
620C8—42no—
621C8—2362no—
622C22—21no—
623C22—21no—
624C22—21no—
625C22—21no—
626C22—21no—
627C22—21no—
628C22—42no—
629C22—42no—
630C22—594no—
631C22—1182no—
632C22—1182no—
633C22—2362no—
634C22—2362no—
635C22#103×D5912yes—
636C22#103×D5912yes—
637C22C2×C22⋊C4×D5911yescharacteristic
638C22C2×SD16×D5911yescharacteristic
639C22C2×Q16×D5911yescharacteristic
640C4—21no—
641C4—21no—
642C4—21no—
643C4—21no—
644C4—42no—
645C4—42no—
646C4—42no—
647C4—81no—
648C4—594no—
649C4—1182no—
650C4—1182no—
651C4—4721no—
652C4—4721no—
653C4—2362no—
654C4—2362no—
655C2—21no—
656C2—21no—
657C2—22no—
658C2—22no—
659C2—1184no—
660C2#2143255411yescharacteristic
661C2C2×#103×D5911yescharacteristic
662C2#2143264011yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#328C2
socleC22×C59C22×C22⋊C4
prime radicalC22×C22⋊D59D4
cosocleC22×C4×C59C24
hypercenterC2×#328D59
hypocenterC59#17614
LCSG ▷ C2×C4×C59 ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#328

Complements

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

NH ≅ G/Ntype
4. #21422669C2semidirect
5. #21422668C2semidirect
6. #21422666C2semidirect
7. #21422658C2semidirect
8. #21422593C2semidirect
9. C2×#16837138C2semidirect
10. #328×D59C2semidirect
11. C2×C59×#328C2semidirect
12. #16838110C4semidirect
14. #16838107C4semidirect
16. Q8×C22⋊D59C4semidirect
17. #16838065C4semidirect
51. C22×Dic118C2×C4semidirect
52. C2×Q8×D59C2×C4semidirect
59. #14273726C2×C4semidirect
61. #14273725C2×C4semidirect
66. #14273707C2×C4semidirect
71. #14273706C2×C4semidirect
81. #14273703C2×C4semidirect
82. Q8×Dic59C2×C4semidirect
84. #14273692C2×C4semidirect
96. C2×C4⋊Dic59C2×C4semidirect
103. C4⋊C4×D59C2×C4semidirect
121. C22×Q8×C59C2×C4semidirect
127. C22⋊Q8×C59C2×C4semidirect
130. C2×C4⋊C4×C59C2×C4semidirect
334. C2×#328D59semidirect
382. C59#17614semidirect
385. C22×Q8C4×D59semidirect
420. C22⋊Q8C4×D59semidirect
445. C2×C4⋊C4C4×D59semidirect

Maximal subgroups

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

subgroupindex
#214378922
#214331182
#214270032
#214226692
#214226682
#214226662
#214226582
#214225932
C2×#168371382
#328×D592
C2×C59×#3282
#1761459