Finite Group Databasebeta

← #28637446

Subgroups — #28637446

Order 15104.

900 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837715C211yesmaximal, characteristic, complemented
2C2×#16837474C211yesmaximal, characteristic, complemented
3#21427514C211yesmaximal, characteristic
4#21425587C211yesmaximal, characteristic, complemented
5#21425527C211yesmaximal, characteristic, complemented
6#21425481C211yesmaximal, characteristic, complemented
7#21425285C211yesmaximal, characteristic, complemented
8#21424836C211yesmaximal, characteristic, complemented
9#21424792C211yesmaximal, characteristic, complemented
10#21424532C211yesmaximal, characteristic, complemented
11#21424522C211yesmaximal, characteristic, complemented
12#21424293C211yesmaximal, characteristic, complemented
13#21424123C211yesmaximal, characteristic, complemented
14#21423815C211yesmaximal, characteristic, complemented
15C59×#2487C211yesmaximal, characteristic, complemented
16C22×#11745664C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×#14273701C2211yescharacteristic
20C2×#14273686C2211yescharacteristic
21#16837715—24no—
22#16837474—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273647C2211yescharacteristic
29C2×#14273647C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34C2×#14273638C2211yescharacteristic
35#16837317—21no—
36#16837310—21no—
37#16837304C2211yescharacteristic
38#16837302—21no—
39#16837300C2211yescharacteristic
40#16837292—21no—
41#16837262C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C22×C4⋊C4×C59C2211yescharacteristic
52C59×#400—21no—
53C59×#399—21no—
54C59×#389C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#386—21no—
57C59×#385—21no—
58C59×#380C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C59×#380C2211yescharacteristic
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C22×C22⋊D59—21no—
64C2×#11745664—22no—
65C2×#11745664—22no—
66C2×#11745664—41no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8—41no—
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74#14273701—22no—
75#14273701—22no—
76#14273701—22no—
77#14273701—41no—
78#14273686—22no—
79#14273686—41no—
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×(C2×D59)⋊C4—21no—
90C2×C4×Dic59—21no—
91#14273660—22no—
92#14273660—22no—
93#14273660—41no—
94#14273658—22no—
95C4⋊(C59⋊C8)—22no—
96#14273647—22no—
97#14273647—22no—
98#14273647—22no—
99#14273647—41no—
100C22⋊(C59⋊C8)—22no—
101C22⋊(C59⋊C8)D414yescomplemented
102#14273638—22no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C22×D4×C59D411yescharacteristic
106C23×C4×C59—21no—
107C23×C4×C59C2311yescharacteristic
108C23×C4×C59C2311yescharacteristic
109C4×D4×C59—22no—
110C4×D4×C59—22no—
111C2×C4⋊C4×C59—22no—
112C2×C4⋊C4×C59—22no—
113C2×C4⋊C4×C59—21no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59D411yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59D411yescharacteristic
125C2×C22⋊C4×C59D411yescharacteristic
126C2×C42×C59C2311yescharacteristic
127#95×C59—21no—
128#95×C59—21no—
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132C24×C59C2×D411yescharacteristic
133C24×C59C2×D411yescharacteristic
134C23×D59—21no—
135C2×D4×C59—22no—
136C2×D4×C59—22no—
137C2×D4×C59—41no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—42no—
153C22×C4×C59—81no—
154C22×C4×C59—81no—
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D412yes—
160C22×C4×C59#4112yes—
161C22×C4×C59C2411yescharacteristic
162C2×C22⋊D59—42no—
163C2×C22⋊D59—42no—
164C2×C22⋊D59—42no—
165C2×C22⋊D59—81no—
166C2×C22⋊D59—81no—
167C2×C22⋊D59—81no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C22×Dic59—21no—
171C2×D236—21no—
172C2×D236—21no—
173C2×D236—21no—
174C2×D236—21no—
175C2×D236—21no—
176C2×D236—21no—
177C4⋊C4×C59—22no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—42no—
187C4⋊C4×C59—81no—
188C4⋊C4×C59—81no—
189C22⋊C4×C59—22no—
190C22⋊C4×C59—22no—
191C22⋊C4×C59—42no—
192C22⋊C4×C59—81no—
193C22⋊C4×C59—81no—
194C42×C59—21no—
195C42×C59—21no—
196C22⋊Dic59—42no—
197C22⋊Dic59—81no—
198(C2×D59)⋊C4—42no—
199(C2×D59)⋊C4—42no—
200(C2×D59)⋊C4—42no—
201(C2×D59)⋊C4—81no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59#4112yes—
208Dic59⋊C4—81no—
209C4×Dic59—42no—
210#11745664—44no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—44no—
221C2×C59⋊C8C2×D412yes—
222C2×C59⋊C8C2×D412yes—
223C2×C59⋊C8#4112yes—
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—21no—
235C23×C59—21no—
236C23×C59#12112yes—
237C23×C59#13712yes—
238C23×C59C22×D411yescharacteristic
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242C22×D59—41no—
243C22×D59—41no—
244C22×D59—41no—
245C22×D59—41no—
246D4×C59—44no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—21no—
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—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
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—84no—
279C2×C4×C59#12112yes—
280C2×C4×C59C22×D411yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59H(5,𝔽2)11yescharacteristic
285C2×C4×C592−1+411yescharacteristic
286C22⋊D59—84no—
287C22⋊D59—84no—
288C2×Dic59—22no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297D236—41no—
298D236—41no—
299D236—41no—
300D236—41no—
301C59⋊C8—22no—
302C59⋊C8—22no—
303C59⋊C8—22no—
304C59⋊C8—41no—
305#25240—591nomaximal, Sylow
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—22no—
311C22×C59—22no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59C2×#12111yescharacteristic
321C22×C59#54611yescharacteristic
322C22×C59#54711yescharacteristic
323C22×C59C2×#13711yescharacteristic
324C22×C59#57511yescharacteristic
325C22×C59#57611yescharacteristic
326C22×C59#57611yescharacteristic
327C2×D59—81no—
328C2×D59—81no—
329C2×D59—81no—
330C2×D59—81no—
331C2×D59—81no—
332C2×D59—81no—
333C2×D59—81no—
334C4×C59—22no—
335C4×C59—41no—
336C4×C59—41no—
337C4×C59—41no—
338C4×C59—81no—
339C4×C59—81no—
340C4×C59—81no—
341C4×C59—81no—
342C4×C59#52911yescharacteristic
343C4×C59#53911yescharacteristic
344C4×C59#54611yescharacteristic
345C4×C59#54711yescharacteristic
346Dic59—42no—
347Dic59—81no—
348Dic59—81no—
349C2×#480—591no—
350C2×#435—591no—
351#2487D5911yescharacteristic, complemented
352#2414—591no—
353#2086—591no—
354#2076—591no—
355#2067—591no—
356#2034—591no—
357#1944—591no—
358#1936—591no—
359#1895—591no—
360#1893—591no—
361#1854—591no—
362#1808—591no—
363#1736—591no—
364C2×C59—42no—
365C2×C59—42no—
366C2×C59#242511yescharacteristic
367C2×C59#305611yescharacteristic
368C2×C59#305811yescharacteristic
369C2×C59#330911yescharacteristic
370C2×C59#331411yescharacteristic
371C2×C59#334611yescharacteristic
372C2×C59#334711yescharacteristic
373D59—161no—
374C22×M16—591no—
375C23×C8—591no—
376C2×#121—591no—
377C2×#121—591no—
378C2×C4×D4C2×D5911yescharacteristic
379C2×#117—591no—
380C22×C4⋊C4C2×D5911yescharacteristic
381#480—1184no—
382#435—1184no—
383C2×#107—591no—
384C2×#107—591no—
385C2×#107—591no—
386C2×#106—591no—
387C2×C4⋊C8—591no—
388C2×#102—591no—
389C2×#102—591no—
390C2×#102—591no—
391C2×#102—591no—
392C2×C22⋊C8—591no—
393C2×C22⋊C8—591no—
394C2×#97—591no—
395#400—21no—
396#399—21no—
397#394—1181no—
398#392—1181no—
399#390—591no—
400#390—1181no—
401#389—591no—
402#389C2×D5911yescharacteristic
403#389C2×D5911yescharacteristic
404#388—1181no—
405#386—21no—
406#385—21no—
407#380—591no—
408#380C2×D5911yescharacteristic
409#380C2×D5911yescharacteristic
410#380C2×D5911yescharacteristic
411#340—591no—
412#340—591no—
413#340—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417#340—591no—
418#340—591no—
419C59#2524011yescharacteristic, complemented, Sylow
420C22×D4—591no—
421C22×D4—1181no—
422C22×D4—1181no—
423C22×D4C22⋊D5911yescharacteristic
424C23×C4—21no—
425C23×C4C22×D5911yescharacteristic
426C23×C4C22×D5911yescharacteristic
427C2×M16—1182no—
428C2×M16—1182no—
429C2×M16—2361no—
430C22×C8—591no—
431C22×C8—591no—
432C22×C8—591no—
433C22×C8—591no—
434C22×C8—1182no—
435C22×C8—1182no—
436C22×C8—2361no—
437#121—1182no—
438#121—1182no—
439#121—1182no—
440#121—2361no—
441C4×D4—22no—
442C4×D4—22no—
443#117—1182no—
444#117—2361no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—591no—
451C2×C4⋊C4—591no—
452C2×C4⋊C4—591no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4C22⋊D5911yescharacteristic
455C2×C4⋊C4C22×D5911yescharacteristic
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C4⋊C4C22×D5911yescharacteristic
458C2×C4⋊C4C22×D5911yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—1181no—
463C2×C22⋊C4—1181no—
464C2×C22⋊C4—1181no—
465C2×C22⋊C4—1181no—
466C2×C22⋊C4—1181no—
467C2×C22⋊C4—1181no—
468C2×C22⋊C4C22⋊D5911yescharacteristic
469C2×C22⋊C4C22⋊D5911yescharacteristic
470C2×C42—1181no—
471C2×C42C22×D5911yescharacteristic
472#107—1182no—
473#107—1182no—
474#107—2361no—
475#106—1182no—
476C4⋊C8—1182no—
477#102—1182no—
478#102—1182no—
479#102—1182no—
480#102—2361no—
481C22⋊C8—594no—
482C22⋊C8—1182no—
483#97—1182no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—1181no—
490#95—1181no—
491C24—1181no—
492C24C2×C22⋊D5911yescharacteristic
493C24C2×C22⋊D5911yescharacteristic
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—41no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—1181no—
501C2×D4—1181no—
502C2×D4—1181no—
503C2×D4—4721no—
504C2×D4—4721no—
505C2×D4—4721no—
506C2×D4—2362no—
507C2×D4—2362no—
508C2×D4—2362no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—1181no—
527C22×C4—1181no—
528C22×C4—1181no—
529C22×C4D4×D5912yes—
530C22×C4#1174568712yes—
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C2×C22⋊D5911yescharacteristic
534C22×C4C2×C22⋊D5911yescharacteristic
535C22×C4C23×D5911yescharacteristic
536M16—2364no—
537C2×C8—592no—
538C2×C8—592no—
539C2×C8—592no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—2364no—
550C4⋊C4—22no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C4⋊C4—592no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—1181no—
567C4⋊C4—1181no—
568C4⋊C4—4721no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C22⋊C4—4721no—
575C22⋊C4—4721no—
576C22⋊C4—2362no—
577C22⋊C4—2362no—
578C22⋊C4—2362no—
579C22⋊C4—2362no—
580C42—21no—
581C42—21no—
582C42—2362no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—2361no—
596C23—2361no—
597C23—2361no—
598C23—2361no—
599C23—2361no—
600C23—2361no—
601C23—2361no—
602C23#1427369912yes—
603C23#1427375812yes—
604C23C22×C22⋊D5911yescharacteristic
605D4—44no—
606D4—4724no—
607D4—4724no—
608D4—2361no—
609D4—2361no—
610D4—2361no—
611D4—2361no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
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—41no—
628C2×C4—41no—
629C2×C4—41no—
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—84no—
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#1427369912yes—
654C2×C4C2×D4×D5911yescharacteristic
655C2×C4#41×D5911yescharacteristic
656C2×C4#41×D5911yescharacteristic
657C2×C4C2×#1174568711yescharacteristic
658C2×C4#1427377311yescharacteristic
659C2×C4#1427377411yescharacteristic
660C8—1182no—
661C8—1182no—
662C8—1182no—
663C8—2361no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—4721no—
679C22—4721no—
680C22—4721no—
681C22—4721no—
682C22—4721no—
683C22—4721no—
684C22—4721no—
685C22C2×#1427369911yescharacteristic
686C22#1683804011yescharacteristic
687C22#1683805111yescharacteristic
688C22C2×#1427375811yescharacteristic
689C22#1683820011yescharacteristic
690C22#1683820511yescharacteristic
691C22#1683820511yescharacteristic
692C4—22no—
693C4—41no—
694C4—41no—
695C4—41no—
696C4—81no—
697C4—81no—
698C4—81no—
699C4—81no—
700C4—4721no—
701C4—4721no—
702C4—2362no—
703C4#1683792911yescharacteristic
704C4#1683799611yescharacteristic
705C4#1683804411yescharacteristic
706C4#1683805011yescharacteristic
707C2—42no—
708C2—42no—
709C2—9441no—
710C2#2142765111yescharacteristic
711C2#2143372211yescharacteristic
712C2#2143374111yescharacteristic
713C2#2143609611yescharacteristic
714C2#2143617111yescharacteristic
715C2#2143657511yescharacteristic
716C2#2143659011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2487C2
socleC23×C59C22×D4
prime radical#21427514C2
hypercenter#2487D59
hypocenterC59#25240
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2487

Complements

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

NH ≅ G/Ntype
1. C2×#16837715C2semidirect
2. C2×#16837474C2semidirect
4. #21425587C2semidirect
5. #21425527C2semidirect
6. #21425481C2semidirect
7. #21425285C2semidirect
8. #21424836C2semidirect
9. #21424792C2semidirect
10. #21424532C2semidirect
11. #21424522C2semidirect
12. #21424293C2semidirect
13. #21424123C2semidirect
14. #21423815C2semidirect
15. C59×#2487C2semidirect
101. C22⋊(C59⋊C8)D4semidirect
351. #2487D59semidirect
419. C59#25240semidirect

Maximal subgroups

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

subgroupindex
C2×#168377152
C2×#168374742
#214275142
#214255872
#214255272
#214254812
#214252852
#214248362
#214247922
#214245322
#214245222
#214242932
#214241232
#214238152
C59×#24872
#2524059