Finite Group Databasebeta

← #28610973

Subgroups — #28610973

Order 15104.

1034 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837617C211yesmaximal, characteristic
2C2×C4×#11745670C211yesmaximal, characteristic, complemented
3C2×C4×#11745669C211yesmaximal, characteristic
4#21427165C211yesmaximal, characteristic, complemented
5#21424905C211yesmaximal, characteristic, complemented
6#21424862C211yesmaximal, characteristic, complemented
7#21424778C211yesmaximal, characteristic, complemented
8#21424771C211yesmaximal, characteristic, complemented
9#21424444C211yesmaximal, characteristic
10#21424430C211yesmaximal, characteristic, complemented
11#21424356C211yesmaximal, characteristic, complemented
12#21424349C211yesmaximal, characteristic, complemented
13C4⋊C4×C59⋊C8C211yesmaximal, characteristic, complemented
14C4×#14273648C211yesmaximal, characteristic, complemented
15C59×#2349C211yesmaximal, characteristic, complemented
16C22×#11745670C2211yescharacteristic
17C22×#11745669C2211yescharacteristic
18C2×#14273715C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837617C418yescomplemented
22C4×#11745670—24no—
23C4×#11745669—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×#14273647C2211yescharacteristic
35C2×C4×C59⋊C8C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837304C2211yescharacteristic
40#16837292—21no—
41#16837291—21no—
42#16837273—21no—
43C4×C4⋊Dic59C2211yescharacteristic
44#16837249—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C59×#389C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#385—21no—
57C59×#385—21no—
58C59×#382C2211yescharacteristic
59C59×#380—21no—
60C4×C4⋊C4×C59C2211yescharacteristic
61C2×#95×C59—21no—
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C4×D59—21no—
65C2×#11745670—22no—
66C2×#11745670—22no—
67C2×#11745670C2×C414yescomplemented
68C2×#11745669—22no—
69C2×#11745669—22no—
70C2×#11745669C2×C414yes—
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75#14273715—22no—
76#14273715C2×C414yescomplemented
77C4×Dic118—22no—
78C4×Dic118—41no—
79C4×D236—22no—
80C4×D236—41no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×C4×Dic59—21no—
90C2×C4×Dic59—21no—
91#14273660—22no—
92#14273658—22no—
93C4⋊(C59⋊C8)C2×C414yescomplemented
94#14273650—22no—
95#14273650—41no—
96#14273650C2×C414yescomplemented
97#14273648—22no—
98#14273648D414yes—
99#14273647—22no—
100#14273647—41no—
101#14273647C2×C414yescomplemented
102C4×C59⋊C8—22no—
103C4×C59⋊C8—22no—
104C4×C59⋊C8—22no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×D4×C59C2311yescharacteristic
109C23×C4×C59—21no—
110C23×C4×C59—21no—
111C23×C4×C59—21no—
112C4×D4×C59—22no—
113C4×D4×C59—22no—
114C4×D4×C59—22no—
115C4×D4×C59—41no—
116C4×D4×C59—41no—
117C4×D4×C59C2×C414yescomplemented
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59D411yescharacteristic
121C2×C4⋊C4×C59D411yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C42×C59C2311yescharacteristic
129C2×C42×C59C2311yescharacteristic
130C2×C42×C59C2311yescharacteristic
131#95×C59—21no—
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135#95×C59D411yescharacteristic
136#95×C59D411yescharacteristic
137C24×C59—21no—
138C23×D59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59C22×C412yes—
143C2×D4×C59C2×D412yes—
144C2×D4×C59#4112yes—
145C22×C4×C59—21no—
146C22×C4×C59—24no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—42no—
150C22×C4×C59—42no—
151C22×C4×C59—42no—
152C22×C4×C59—42no—
153C22×C4×C59—81no—
154C22×C4×C59—81no—
155C22×C4×C59—81no—
156C22×C4×C59—81no—
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2411yescharacteristic
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236—21no—
171C2×D236—21no—
172C2×D236C22×C412yes—
173C2×C4×D59—42no—
174C2×C4×D59—42no—
175C2×C4×D59—81no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118—21no—
181C2×Dic118C22×C412yes—
182C4⋊C4×C59—22no—
183C4⋊C4×C59—22no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—81no—
190C4⋊C4×C59—81no—
191C4⋊C4×C59C22×C412yes—
192C22⋊C4×C59—24no—
193C22⋊C4×C59—42no—
194C22⋊C4×C59—42no—
195C42×C59—21no—
196C42×C59—21no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59C22×C412yes—
200C42×C59#4112yes—
201#11745670—28no—
202#11745669—28no—
203(C2×D59)⋊C4—24no—
204(C2×D59)⋊C4—24no—
205(C2×D59)⋊C4—42no—
206(C2×D59)⋊C4—42no—
207(C2×D59)⋊C4—81no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59C2×D412yes—
212Dic59⋊C4—42no—
213C4×Dic59—42no—
214C4×Dic59—81no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8C22×C412yes—
225C2×C59⋊C8C22×C412yes—
226C2×C59⋊C8C2×D412yes—
227C23×C59—22no—
228C23×C59—22no—
229C23×C59—22no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59C22×D411yescharacteristic
235C22×D59—22no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242D4×C59—22no—
243D4×C59—22no—
244D4×C59—22no—
245D4×C59C4×D414yes—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—22no—
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—41no—
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—84no—
270C2×C4×C59—84no—
271C2×C4×C59—84no—
272C2×C4×C59C4×D412yes—
273C2×C4×C59C4×D412yes—
274C2×C4×C59#13512yes—
275C2×C4×C59#13512yes—
276C2×C4×C59C23×C411yescharacteristic
277C2×C4×C59C22×D411yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59H(5,𝔽2)11yescharacteristic
281C2×C4×C592−1+411yescharacteristic
282C2×Dic59—22no—
283C2×Dic59—22no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291D236—22no—
292D236—22no—
293D236—41no—
294D236—41no—
295C4×D59—84no—
296Dic118—22no—
297Dic118—22no—
298Dic118—41no—
299Dic118—41no—
300C59⋊C8—22no—
301C59⋊C8—22no—
302C59⋊C8—22no—
303C59⋊C8—41no—
304#22999—591nomaximal, Sylow
305C22×C59—24no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—42no—
312C22×C59C2×C4×D411yescharacteristic
313C22×C59D4211yescharacteristic
314C22×C59#54811yescharacteristic
315C22×C59C2×#13511yescharacteristic
316C22×C59C2×#13511yescharacteristic
317C22×C59#57611yescharacteristic
318C22×C59#57711yescharacteristic
319C2×D59—42no—
320C2×D59—42no—
321C2×D59—42no—
322C2×D59—81no—
323C2×D59—81no—
324C2×D59—81no—
325C2×D59—81no—
326C4×C59—22no—
327C4×C59—22no—
328C4×C59—22no—
329C4×C59—22no—
330C4×C59—42no—
331C4×C59—41no—
332C4×C59—41no—
333C4×C59—81no—
334C4×C59—81no—
335C4×C59C2×C4×D411yescharacteristic
336C4×C59#52011yescharacteristic
337C4×C59#54711yescharacteristic
338C4×C59#55311yescharacteristic
339Dic59—42no—
340Dic59—42no—
341Dic59—81no—
342C2×#463—591no—
343C2×C4×SD16—591no—
344C2×C4×D8—591no—
345#2367—591no—
346#2349D5911yescharacteristic, complemented
347#1958—591no—
348#1949—591no—
349#1934—591no—
350#1933—591no—
351#1879—591no—
352#1877—591no—
353#1864—591no—
354#1863—591no—
355C8×C4⋊C4—591no—
356C4×#102—591no—
357C2×C59—44no—
358C2×C59#236111yescharacteristic
359C2×C59C4×#13511yescharacteristic
360C2×C59#294611yescharacteristic
361C2×C59#328011yescharacteristic
362C2×C59#328211yescharacteristic
363C2×C59#336011yescharacteristic
364C2×C59#336111yescharacteristic
365D59—82no—
366C22×SD16—591no—
367C22×D8—591no—
368C2×#124—591no—
369C2×C4×Q8—591no—
370C2×C4×D4—591no—
371C2×C4×D4C2×D5911yescharacteristic
372C2×C4×D4C2×D5911yescharacteristic
373C2×C4×D4C2×D5911yescharacteristic
374#463—598no—
375C4×SD16—1184no—
376C4×D8—1184no—
377C2×#107—591no—
378C2×#106—591no—
379C2×C4⋊C8—591no—
380C2×#103—591no—
381C2×#103—591no—
382C2×#103—591no—
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×C4×C8—591no—
389C2×C4×C8—591no—
390C2×C4×C8—591no—
391#391—591no—
392#390—591no—
393#389C2×D5911yescharacteristic
394#389C2×D5911yescharacteristic
395#388—1181no—
396#388—1181no—
397#385—21no—
398#385—21no—
399#385—1181no—
400#382C2×D5911yescharacteristic
401#380—21no—
402C4×C4⋊C4—591no—
403C4×C4⋊C4C2×D5911yescharacteristic
404C4×C22⋊C4—1181no—
405C2×#95—21no—
406#340—591no—
407#340—591no—
408#340—591no—
409#340—591no—
410#336—591no—
411#336—591no—
412C59#2299911yescharacteristic, complemented, Sylow
413C22×Q8—591no—
414C22×D4—591no—
415C22×D4C22×D5911yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—1181no—
420C2×SD16—594no—
421C2×SD16—1182no—
422C2×SD16—1182no—
423C2×D8—594no—
424C2×D8—1182no—
425C2×D8—1182no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430#124—594no—
431#124—1182no—
432C4×Q8—1182no—
433C4×Q8—2361no—
434C4×D4—22no—
435C4×D4—22no—
436C4×D4—22no—
437C4×D4—41no—
438C4×D4—41no—
439C4×D4—1182no—
440C4×D4—2361no—
441C4×D4C4×D5914yescomplemented
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4C22⋊D5911yescharacteristic
448C2×C4⋊C4C22⋊D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4—1181no—
458C2×C22⋊C4—1181no—
459C2×C22⋊C4—1181no—
460C2×C42—1181no—
461C2×C42—1181no—
462C2×C42C22×D5911yescharacteristic
463C2×C42C22×D5911yescharacteristic
464C2×C42C22×D5911yescharacteristic
465#107—1182no—
466#106—1182no—
467C4⋊C8—594no—
468#103—594no—
469#103—1182no—
470#103—2361no—
471#102—594no—
472#102—594no—
473#102—1182no—
474#102—1182no—
475#102—2361no—
476C4×C8—1182no—
477C4×C8—1182no—
478C4×C8—1182no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—1181no—
484#95—1181no—
485#95—1181no—
486#95C22⋊D5911yescharacteristic
487#95C22⋊D5911yescharacteristic
488C24—21no—
489C24—1181no—
490C2×Q8—592no—
491C2×Q8—1181no—
492C2×Q8—1181no—
493C2×Q8—1181no—
494C2×Q8—1181no—
495C2×Q8—1181no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—592no—
500C2×D4—1181no—
501C2×D4—1181no—
502C2×D4—1181no—
503C2×D4—1181no—
504C2×D4—1181no—
505C2×D4C2×C4×D5912yes—
506C2×D4D4×D5912yes—
507C2×D4#1174568912yes—
508C22×C4—21no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—1181no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—4721no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533SD16—1188no—
534D8—1188no—
535C2×C8—592no—
536C2×C8—592no—
537C2×C8—592no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—81no—
556C4⋊C4—592no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C4⋊C4—2362no—
561C4⋊C4C2×C4×D5912yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—1184no—
566C22⋊C4—1184no—
567C22⋊C4—4721no—
568C22⋊C4—2362no—
569C22⋊C4—2362no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—4721no—
575C42—2362no—
576C42C2×C4×D5912yes—
577C42#1174568512yes—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—1182no—
586C23—2361no—
587C23—2361no—
588C23—2361no—
589C23—2361no—
590C23—2361no—
591C23—2361no—
592C23C22×C22⋊D5911yescharacteristic
593Q8—1182no—
594Q8—1182no—
595Q8—2361no—
596Q8—2361no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—1182no—
601D4—1182no—
602D4—2361no—
603D4—2361no—
604D4#1427368914yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—84no—
630C2×C4—84no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—4724no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4C4×C22⋊D5912yes—
642C2×C4C4×C22⋊D5912yes—
643C2×C4#1427374712yes—
644C2×C4#1427374712yes—
645C2×C4C22×C4×D5911yescharacteristic
646C2×C4C2×D4×D5911yescharacteristic
647C2×C4C2×#1174568511yescharacteristic
648C2×C4C2×#1174568911yescharacteristic
649C2×C4#1427377211yescharacteristic
650C2×C4#1427377511yescharacteristic
651C8—1182no—
652C8—1182no—
653C8—1182no—
654C8—2361no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—4721no—
663C22—4721no—
664C22—4721no—
665C22—4721no—
666C22—2362no—
667C22—2362no—
668C22—2362no—
669C22C2×C4×C22⋊D5911yescharacteristic
670C22D4×C22⋊D5911yescharacteristic
671C22#1683806311yescharacteristic
672C22C2×#1427374711yescharacteristic
673C22C2×#1427374711yescharacteristic
674C22#1683820511yescharacteristic
675C22#1683821311yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—42no—
681C4—41no—
682C4—41no—
683C4—81no—
684C4—81no—
685C4—4721no—
686C4—2362no—
687C4—2362no—
688C4C2×#1427368911yescharacteristic
689C4#1683788311yescharacteristic
690C4#1683805311yescharacteristic
691C4#1683810011yescharacteristic
692C2—44no—
693C2—4722no—
694C2#2142711211yescharacteristic
695C2C4×#1427374711yescharacteristic
696C2#2143292811yescharacteristic
697C2#2143577711yescharacteristic
698C2#2143579911yescharacteristic
699C2#2143674511yescharacteristic
700C2#2143675611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2349C2
socleC23×C59C22×D4
prime radicalC22×#11745669C22
cosocleC22×C4×C59C24
hypercenter#2349D59
hypocenterC59#22999
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745670C2semidirect
4. #21427165C2semidirect
5. #21424905C2semidirect
6. #21424862C2semidirect
7. #21424778C2semidirect
8. #21424771C2semidirect
10. #21424430C2semidirect
11. #21424356C2semidirect
12. #21424349C2semidirect
13. C4⋊C4×C59⋊C8C2semidirect
14. C4×#14273648C2semidirect
15. C59×#2349C2semidirect
21. #16837617C4semidirect
67. C2×#11745670C2×C4semidirect
76. #14273715C2×C4semidirect
93. C4⋊(C59⋊C8)C2×C4semidirect
96. #14273650C2×C4semidirect
101. #14273647C2×C4semidirect
117. C4×D4×C59C2×C4semidirect
346. #2349D59semidirect
412. C59#22999semidirect
441. C4×D4C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376172
C2×C4×#117456702
C2×C4×#117456692
#214271652
#214249052
#214248622
#214247782
#214247712
#214244442
#214244302
#214243562
#214243492
C4⋊C4×C59⋊C82
C4×#142736482
C59×#23492
#2299959