Finite Group Databasebeta

← #28595897

Subgroups — #28595897

Order 15104.

1048 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837719C211yesmaximal, characteristic
2#21426612C211yesmaximal, characteristic
3C4×C4⋊C4×D59C211yesmaximal, characteristic, complemented
4#21424713C211yesmaximal, characteristic, complemented
5#21424682C211yesmaximal, characteristic, complemented
6#21424681C211yesmaximal, characteristic, complemented
7#21424410C211yesmaximal, characteristic
8#21424282C211yesmaximal, characteristic, complemented
9#21424185C211yesmaximal, characteristic, complemented
10#21423995C211yesmaximal, characteristic, complemented
11#21423992C211yesmaximal, characteristic, complemented
12#21423923C211yesmaximal, characteristic, complemented
13#21423923C211yesmaximal, characteristic, complemented
14#21423857C211yesmaximal, characteristic, complemented
15C59×#1925C211yesmaximal, characteristic, complemented
16C2×#14273698C2211yescharacteristic
17C2×D4×Dic59C2211yescharacteristic
18C2×(C22⋊D59)⋊C4—21no—
19C2×C4⋊C4×D59C2211yescharacteristic
20C2×C4⋊C4×D59C2211yescharacteristic
21C2×C42×D59—21no—
22C2×C42×D59C2211yescharacteristic
23#16837719C418yescomplemented
24C2×#14273660C2211yescharacteristic
25C2×#14273659C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×#14273648C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×(C2×D59)⋊C8C2211yescharacteristic
30C2×(C2×D59)⋊C8C2211yescharacteristic
31C2×#14273637C2211yescharacteristic
32C2×#14273637C2211yescharacteristic
33#16837300C2211yescharacteristic
34#16837296—21no—
35#16837278—21no—
36#16837259C2211yescharacteristic
37C4⋊C4×Dic59C2211yescharacteristic
38C4⋊C4×Dic59C2211yescharacteristic
39C4⋊C4×Dic59C2211yescharacteristic
40C4×Dic59⋊C4—21no—
41C4×C4⋊Dic59C2211yescharacteristic
42#16837253—21no—
43C22⋊C4×Dic59—21no—
44#95×D59—21no—
45#16837165C2211yescharacteristic
46#16837165C2211yescharacteristic
47#16837165C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837157C2211yescharacteristic
53C2×#107×C59C2211yescharacteristic
54C2×#102×C59C2211yescharacteristic
55C2×#102×C59C2211yescharacteristic
56C59×#390C2211yescharacteristic
57C4×C4⋊C4×C59C2211yescharacteristic
58C59×#340C2211yescharacteristic
59C59×#336C2211yescharacteristic
60C22×C22⋊D59—21no—
61C23×Dic59—21no—
62C22×C4×D59—21no—
63C22×C4×D59—21no—
64C22×C4×D59D411yescharacteristic
65C22×C4×D59D411yescharacteristic
66C22×C4×D59C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69#14273698—22no—
70#14273698C2×C414yes—
71D4×Dic59—22no—
72D4×Dic59—22no—
73(C22⋊D59)⋊C4—44no—
74C2×C4⋊Dic59C2311yescharacteristic
75C2×C4⋊Dic59C2311yescharacteristic
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×Dic59⋊C4—21no—
79C2×Dic59⋊C4—21no—
80C2×Dic59⋊C4—21no—
81C4⋊C4×D59—22no—
82C4⋊C4×D59—22no—
83C4⋊C4×D59—22no—
84C4⋊C4×D59C2×C414yescomplemented
85C2×C22⋊Dic59—21no—
86C2×C22⋊Dic59—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90C2×C4×Dic59—21no—
91C2×C4×Dic59—21no—
92C2×C4×Dic59D411yescharacteristic
93C2×C4×Dic59D411yescharacteristic
94C2×C4×Dic59C2311yescharacteristic
95C42×D59—22no—
96C42×D59—22no—
97C42×D59—44no—
98#14273660—22no—
99#14273659C2×C414yescomplemented
100#14273658C2×C414yescomplemented
101#14273648—22no—
102#14273648C2×C414yescomplemented
103(C2×D59)⋊C8—22no—
104(C2×D59)⋊C8C2×C414yescomplemented
105#14273637—22no—
106#14273637—22no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95—21no—
113C22×D4×C59C2311yescharacteristic
114C22×C8×C59C2311yescharacteristic
115C22×C8×C59C2311yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C22⋊C4×C59—21no—
120C2×C22⋊C4×C59—21no—
121C2×C42×C59—21no—
122C2×C42×C59C2311yescharacteristic
123#107×C59—22no—
124#102×C59—22no—
125#102×C59C2×C414yescomplemented
126#95×C59—21no—
127C24×C59—21no—
128C23×D59C2×D411yescharacteristic
129C2×D4×C59—21no—
130C2×D4×C59—21no—
131C2×D4×C59—21no—
132C2×D4×C59—21no—
133C2×D4×C59—21no—
134C2×D4×C59C22×C412yes—
135C22×C4×C59—21no—
136C22×C4×C59—21no—
137C22×C4×C59—21no—
138C22×C4×C59C2×D411yescharacteristic
139C22×C4×C59C2×D411yescharacteristic
140C22×C4×C59C2411yescharacteristic
141C2×C22⋊D59—24no—
142C2×C22⋊D59—42no—
143C2×C22⋊D59—42no—
144C22×Dic59—21no—
145C22×Dic59—21no—
146C22×Dic59—21no—
147C22×Dic59—21no—
148C22×Dic59—42no—
149C22×Dic59—42no—
150C22×Dic59—42no—
151C22×Dic59C2×D411yescharacteristic
152C22×Dic59C2×D411yescharacteristic
153C22×Dic59C2×D411yescharacteristic
154C2×C4×D59—22no—
155C2×C4×D59—22no—
156C2×C4×D59—21no—
157C2×C4×D59—21no—
158C2×C4×D59—21no—
159C2×C4×D59—21no—
160C2×C4×D59—22no—
161C2×C4×D59—24no—
162C2×C4×D59—24no—
163C2×C4×D59—22no—
164C2×C4×D59—22no—
165C2×C4×D59—41no—
166C2×C4×D59—42no—
167C2×C4×D59—42no—
168C2×C4×D59—42no—
169C2×C4×D59—42no—
170C2×C4×D59C22×C412yes—
171C2×C4×D59#4112yes—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59—21no—
176C2×C8×C59—21no—
177C2×C8×C59C22×C412yes—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59C22×C412yes—
183C4⋊C4×C59#4112yes—
184C22⋊C4×C59—42no—
185C22⋊C4×C59—42no—
186C42×C59—21no—
187C42×C59—21no—
188C42×C59—42no—
189C22⋊Dic59—24no—
190C22⋊Dic59—42no—
191(C2×D59)⋊C4—42no—
192C4⋊Dic59—21no—
193C4⋊Dic59—21no—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59C22×C412yes—
198C4⋊Dic59C22×C412yes—
199C4⋊Dic59#4112yes—
200Dic59⋊C4—24no—
201Dic59⋊C4—24no—
202Dic59⋊C4—42no—
203C4×Dic59—22no—
204C4×Dic59—22no—
205C4×Dic59—42no—
206C4×Dic59—42no—
207C4×Dic59—42no—
208C4×Dic59—42no—
209C4×Dic59#4112yes—
210C4×Dic59#4112yes—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8C22×C412yes—
217C23×C59—22no—
218C23×C59—41no—
219C23×C59—41no—
220C23×C59—41no—
221C23×C59—41no—
222C23×C59—41no—
223C23×C59—41no—
224C23×C59C22×D411yescharacteristic
225C22×D59—21no—
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59C4×D412yes—
230C22×D59AGL(1,ℤ/8)12yes—
231C22×D59#13712yes—
232D4×C59—22no—
233D4×C59—22no—
234D4×C59—41no—
235D4×C59—41no—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—22no—
239C2×C4×C59—21no—
240C2×C4×C59—22no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
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×C59AGL(1,ℤ/8)12yes—
251C2×C4×C59C23×C411yescharacteristic
252C2×C4×C59C2×#4111yescharacteristic
253C2×C4×C59C2×#4111yescharacteristic
254C2×C4×C59C2×#4111yescharacteristic
255C2×C4×C59C2×#4111yescharacteristic
256C2×C4×C59C2×#4111yescharacteristic
257C22⋊D59—48no—
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—21no—
262C2×Dic59—21no—
263C2×Dic59—21no—
264C2×Dic59—22no—
265C2×Dic59—22no—
266C2×Dic59—22no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—84no—
277C2×Dic59C4×D412yes—
278C2×Dic59#12312yes—
279C2×Dic59#12312yes—
280C4×D59—28no—
281C4×D59—22no—
282C4×D59—22no—
283C4×D59—22no—
284C4×D59—22no—
285C4×D59—44no—
286C4×D59—48no—
287C4×D59—48no—
288C8×C59—22no—
289C8×C59—41no—
290C59⋊C8—22no—
291C59⋊C8—41no—
292#21580—591nomaximal, Sylow
293C22×C59—42no—
294C22×C59—42no—
295C22×C59—42no—
296C22×C59—81no—
297C22×C59—81no—
298C22×C59—81no—
299C22×C59—81no—
300C22×C59C2×C4×D411yescharacteristic
301C22×C59C2×#12311yescharacteristic
302C22×C59#52511yescharacteristic
303C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
304C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
305C22×C59C2×#13711yescharacteristic
306C22×C59#57511yescharacteristic
307C2×D59—22no—
308C2×D59—22no—
309C2×D59—22no—
310C2×D59—22no—
311C2×D59—22no—
312C2×D59—22no—
313C2×D59#44014yes—
314C4×C59—22no—
315C4×C59—41no—
316C4×C59—42no—
317C4×C59—42no—
318C4×C59—81no—
319C4×C59C4×#4111yescharacteristic
320C4×C59C4×#4111yescharacteristic
321C4×C59#52911yescharacteristic
322C4×C59#52911yescharacteristic
323Dic59—22no—
324Dic59—22no—
325Dic59—22no—
326Dic59—42no—
327Dic59—42no—
328Dic59—42no—
329Dic59—81no—
330C2×#481—591no—
331C4×#121—591no—
332C2×C4×C4⋊C4—591no—
333#1925—591no—
334#1925D5911yescharacteristic, complemented
335#1920—591no—
336#1920—591no—
337#1874—591no—
338#1852—591no—
339#1824—591no—
340#1776—591no—
341#1776—591no—
342#1762—591no—
343#1762—591no—
344#1749—591no—
345C2×C59—82no—
346C2×C59C4×#12311yescharacteristic
347C2×C59C2×#44011yescharacteristic
348C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
349C2×C59#309211yescharacteristic
350C2×C59#309411yescharacteristic
351C2×C59#310911yescharacteristic
352C2×C59#311711yescharacteristic
353D59—24no—
354C2×#121—591no—
355C2×C4×D4—591no—
356C2×C4×D4—1181no—
357C22×C4⋊C4—591no—
358C22×C4⋊C4—591no—
359C22×C42—591no—
360C22×C42—1181no—
361#481—598no—
362C2×#107—591no—
363C2×#107C2×D5911yescharacteristic
364C2×#106—591no—
365C2×#106—591no—
366C2×#102—591no—
367C2×#102—591no—
368C2×#102C2×D5911yescharacteristic
369C2×#102C2×D5911yescharacteristic
370C2×C22⋊C8—591no—
371C2×C22⋊C8—591no—
372C2×#97—591no—
373C2×#97—591no—
374#390C2×D5911yescharacteristic
375#389—591no—
376#388—1181no—
377#386—1181no—
378#380—591no—
379C4×C4⋊C4—591no—
380C4×C4⋊C4—591no—
381C4×C4⋊C4—591no—
382C4×C4⋊C4—591no—
383C4×C4⋊C4—1181no—
384C4×C4⋊C4—1181no—
385C4×C4⋊C4C2×D5911yescharacteristic
386C4×C22⋊C4—1181no—
387C2×#95—1181no—
388#340—591no—
389#340—591no—
390#340—591no—
391#340—591no—
392#340—591no—
393#340—591no—
394#340—591no—
395#340C2×D5911yescharacteristic
396#336—591no—
397#336C2×D5911yescharacteristic
398C59#2158011yescharacteristic, complemented, Sylow
399C22×D4—1181no—
400C22×D4C22×D5911yescharacteristic
401C23×C4—591no—
402C23×C4—591no—
403C23×C4—591no—
404C23×C4—1181no—
405C23×C4—1181no—
406C23×C4—1181no—
407C22×C8—591no—
408C22×C8—591no—
409C22×C8C22×D5911yescharacteristic
410C22×C8C22×D5911yescharacteristic
411#121—594no—
412#121—1182no—
413C4×D4—1182no—
414C4×D4—1182no—
415C4×D4—2364no—
416C2×C4⋊C4—591no—
417C2×C4⋊C4—591no—
418C2×C4⋊C4—591no—
419C2×C4⋊C4—594no—
420C2×C4⋊C4—591no—
421C2×C4⋊C4—1182no—
422C2×C4⋊C4—1182no—
423C2×C4⋊C4—1181no—
424C2×C4⋊C4—1181no—
425C2×C4⋊C4—1182no—
426C2×C4⋊C4—1181no—
427C2×C4⋊C4C22×D5911yescharacteristic
428C2×C4⋊C4C22×D5911yescharacteristic
429C2×C4⋊C4C22×D5911yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—1181no—
433C2×C22⋊C4—1181no—
434C2×C22⋊C4—1181no—
435C2×C42—21no—
436C2×C42—591no—
437C2×C42—591no—
438C2×C42—591no—
439C2×C42—1182no—
440C2×C42—1182no—
441C2×C42—1181no—
442C2×C42—1181no—
443C2×C42—1181no—
444C2×C42—1181no—
445C2×C42—2364no—
446C2×C42C22×D5911yescharacteristic
447#107—22no—
448#107—1182no—
449#106—594no—
450#106—594no—
451#102—22no—
452#102—594no—
453#102—1182no—
454#102C4×D5914yescomplemented
455C22⋊C8—594no—
456C22⋊C8—1182no—
457#97—1182no—
458#97—1182no—
459#95—21no—
460#95—1181no—
461#95—1181no—
462#95—1181no—
463#95—1181no—
464#95—1181no—
465#95—1181no—
466C24—21no—
467C24—591no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—1184no—
474C2×D4—2362no—
475C2×D4—2362no—
476C2×D4C2×C4×D5912yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—591no—
481C22×C4—591no—
482C22×C4—591no—
483C22×C4—592no—
484C22×C4—592no—
485C22×C4—1182no—
486C22×C4—1182no—
487C22×C4—1182no—
488C22×C4—1184no—
489C22×C4—1182no—
490C22×C4—1184no—
491C22×C4—1182no—
492C22×C4—1181no—
493C22×C4—1181no—
494C22×C4—1181no—
495C22×C4—1181no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—2361no—
501C22×C4—2362no—
502C22×C4—2362no—
503C22×C4—2362no—
504C22×C4—2362no—
505C22×C4—2362no—
506C22×C4—2362no—
507C22×C4—2362no—
508C22×C4D4×D5911yescharacteristic
509C22×C4D4×D5911yescharacteristic
510C22×C4C23×D5911yescharacteristic
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—592no—
517C2×C8—1181no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8C2×C4×D5912yes—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—592no—
528C4⋊C4—592no—
529C4⋊C4—592no—
530C4⋊C4—1184no—
531C4⋊C4—1184no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C4⋊C4—1181no—
535C4⋊C4—1181no—
536C4⋊C4—1181no—
537C4⋊C4—2362no—
538C4⋊C4C2×C4×D5912yes—
539C4⋊C4#1174568712yes—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—1184no—
543C22⋊C4—2362no—
544C22⋊C4—2362no—
545C42—21no—
546C42—21no—
547C42—42no—
548C42—592no—
549C42—592no—
550C42—1182no—
551C42—1182no—
552C42—2362no—
553C42—2362no—
554C42—2362no—
555C42—2362no—
556C23—22no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—592no—
564C23—592no—
565C23—592no—
566C23—1181no—
567C23—1181no—
568C23—1181no—
569C23—1181no—
570C23C2×D4×D5911yescharacteristic
571D4—22no—
572D4—22no—
573D4—41no—
574D4—41no—
575D4—2368no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—592no—
591C2×C4—592no—
592C2×C4—592no—
593C2×C4—1188no—
594C2×C4—1181no—
595C2×C4—1181no—
596C2×C4—1181no—
597C2×C4—1181no—
598C2×C4—1181no—
599C2×C4—1181no—
600C2×C4—1182no—
601C2×C4—1182no—
602C2×C4—1182no—
603C2×C4—1182no—
604C2×C4—1182no—
605C2×C4—1182no—
606C2×C4—1182no—
607C2×C4—4724no—
608C2×C4—2364no—
609C2×C4—2368no—
610C2×C4—2368no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4—2361no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4#1427375112yes—
621C2×C4C22×C4×D5911yescharacteristic
622C2×C4#41×D5911yescharacteristic
623C2×C4#41×D5911yescharacteristic
624C2×C4#41×D5911yescharacteristic
625C2×C4#41×D5911yescharacteristic
626C2×C4C2×#1174568711yescharacteristic
627C8—22no—
628C8—41no—
629C8—1182no—
630C8—2361no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—594no—
639C22—1182no—
640C22—1182no—
641C22—1182no—
642C22—1182no—
643C22—1182no—
644C22—1182no—
645C22C4×D4×D5911yescharacteristic
646C22#123×D5911yescharacteristic
647C22#1683791211yescharacteristic
648C22AGL(1,ℤ/8)×D5911yescharacteristic
649C22C2×#1427375111yescharacteristic
650C22#137×D5911yescharacteristic
651C22#1683819911yescharacteristic
652C4—22no—
653C4—42no—
654C4—42no—
655C4—41no—
656C4—81no—
657C4—1182no—
658C4—1182no—
659C4—1182no—
660C4—4721no—
661C4—2362no—
662C4—2362no—
663C4—2362no—
664C4C4×#1174568711yescharacteristic
665C4#1683787011yescharacteristic
666C4#1683793111yescharacteristic
667C4#1683793511yescharacteristic
668C2—82no—
669C2—1184no—
670C2#2142662311yescharacteristic
671C2#440×D5911yescharacteristic
672C2C4×#1427375111yescharacteristic
673C2#2143401511yescharacteristic
674C2#2143403511yescharacteristic
675C2#2143418611yescharacteristic
676C2#2143426611yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1925C2
socleC23×C59C22×D4
prime radicalC2×#14273698C22
cosocleC22×C4×C59C24
hypercenter#1925D59
hypocenterC59#21580
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1925

Complements

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

NH ≅ G/Ntype
3. C4×C4⋊C4×D59C2semidirect
4. #21424713C2semidirect
5. #21424682C2semidirect
6. #21424681C2semidirect
8. #21424282C2semidirect
9. #21424185C2semidirect
10. #21423995C2semidirect
11. #21423992C2semidirect
12. #21423923C2semidirect
13. #21423923C2semidirect
14. #21423857C2semidirect
15. C59×#1925C2semidirect
23. #16837719C4semidirect
84. C4⋊C4×D59C2×C4semidirect
99. #14273659C2×C4semidirect
100. #14273658C2×C4semidirect
102. #14273648C2×C4semidirect
104. (C2×D59)⋊C8C2×C4semidirect
125. #102×C59C2×C4semidirect
334. #1925D59semidirect
398. C59#21580semidirect
454. #102C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168377192
#214266122
C4×C4⋊C4×D592
#214247132
#214246822
#214246812
#214244102
#214242822
#214241852
#214239952
#214239922
#214239232
#214238572
C59×#19252
#2158059