Finite Group Databasebeta

← #28656716

Subgroups — #28656716

Order 15104.

910 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21427110C211yesmaximal, characteristic, complemented
2#21425406C211yesmaximal, characteristic, complemented
3#21425278C211yesmaximal, characteristic, complemented
4#21425229C211yesmaximal, characteristic, complemented
5#21425092C211yesmaximal, characteristic
6#21425049C211yesmaximal, characteristic, complemented
7#21424782C211yesmaximal, characteristic, complemented
8#21424713C211yesmaximal, characteristic, complemented
9#21424704C211yesmaximal, characteristic, complemented
10#21424667C211yesmaximal, characteristic, complemented
11#21424447C211yesmaximal, characteristic, complemented
12#21424414C211yesmaximal, characteristic, complemented
13#21424180C211yesmaximal, characteristic, complemented
14C4×#14273647C211yesmaximal, characteristic, complemented
15C59×#2491C211yesmaximal, characteristic, complemented
16C22×#11745669C2211yescharacteristic
17C2×#14273701C2211yescharacteristic
18C2×C4×D236C2211yescharacteristic
19C2×(C22⋊D59)⋊C4—21no—
20C22×C4⋊Dic59C2211yescharacteristic
21C2×#14273660C2211yescharacteristic
22C2×C4⋊(C59⋊C8)C2211yescharacteristic
23C2×#14273648C2211yescharacteristic
24C2×#14273648C2211yescharacteristic
25C2×#14273648C2211yescharacteristic
26C2×#14273647C2211yescharacteristic
27C2×#14273647C2211yescharacteristic
28C2×#14273647C2211yescharacteristic
29C2×C22⋊(C59⋊C8)C2211yescharacteristic
30C2×C22⋊(C59⋊C8)C2211yescharacteristic
31C2×C4×C59⋊C8C2211yescharacteristic
32#16837304C2211yescharacteristic
33#16837300C2211yescharacteristic
34#16837294—21no—
35#16837279—21no—
36#16837276—21no—
37C4×C4⋊Dic59C2211yescharacteristic
38#16837164C2211yescharacteristic
39#16837164C2211yescharacteristic
40#16837164C2211yescharacteristic
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837157C2211yescharacteristic
47#16837157C2211yescharacteristic
48C2×C4⋊Q8×C59C2211yescharacteristic
49C2×#124×C59—21no—
50C2×#121×C59C2211yescharacteristic
51C59×#394—21no—
52C59×#393—21no—
53C59×#390C2211yescharacteristic
54C59×#390C2211yescharacteristic
55C59×#388—21no—
56C59×#380C2211yescharacteristic
57C4×C4⋊C4×C59C2211yescharacteristic
58C4×C22⋊C4×C59C2211yescharacteristic
59C22×D236C2311yescharacteristic
60C22×C22⋊D59—21no—
61C23×Dic59—21no—
62C22×C4×D59—21no—
63C2×#11745669—22no—
64C2×#11745669—41no—
65C2×#11745669—41no—
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70#14273701—22no—
71#14273701—22no—
72C4×D236—22no—
73C4×D236—41no—
74(C22⋊D59)⋊C4—44no—
75C2×C4⋊Dic59—22no—
76C2×C4⋊Dic59—21no—
77C2×C4⋊Dic59—41no—
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×Dic59⋊C4—21no—
82C2×(C2×D59)⋊C4—21no—
83C2×(C2×D59)⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—21no—
86C2×C4×Dic59—21no—
87#14273660—22no—
88C4⋊(C59⋊C8)—41no—
89#14273648—22no—
90#14273648—22no—
91#14273648—41no—
92#14273647—22no—
93#14273647—22no—
94#14273647—41no—
95C22⋊(C59⋊C8)—41no—
96C22⋊(C59⋊C8)—41no—
97C4×C59⋊C8—41no—
98C59⋊#95—21no—
99C59⋊#95—21no—
100C22×Q8×C59—21no—
101C22×D4×C59—21no—
102C22×D4×C59C2311yescharacteristic
103C23×C4×C59C2311yescharacteristic
104C4⋊Q8×C59—22no—
105C4⋊Q8×C59—41no—
106#124×C59—44no—
107#121×C59—22no—
108#121×C59—41no—
109C2×C4⋊C4×C59—21no—
110C2×C4⋊C4×C59C2311yescharacteristic
111C2×C4⋊C4×C59C2311yescharacteristic
112C2×C4⋊C4×C59C2311yescharacteristic
113C2×C22⋊C4×C59—21no—
114C2×C22⋊C4×C59—21no—
115C2×C22⋊C4×C59—21no—
116C2×C22⋊C4×C59—21no—
117C2×C22⋊C4×C59—21no—
118C2×C22⋊C4×C59—21no—
119C2×C22⋊C4×C59D411yescharacteristic
120C2×C22⋊C4×C59D411yescharacteristic
121C2×C42×C59—21no—
122C2×C42×C59C2311yescharacteristic
123C2×C42×C59C2311yescharacteristic
124#95×C59—21no—
125#95×C59—21no—
126#95×C59D411yescharacteristic
127#95×C59D411yescharacteristic
128C24×C59—21no—
129C24×C59C2×D411yescharacteristic
130C23×D59—21no—
131C2×Q8×C59—42no—
132C2×Q8×C59—42no—
133C2×Q8×C59—81no—
134C2×D4×C59—21no—
135C2×D4×C59—21no—
136C2×D4×C59—21no—
137C2×D4×C59—21no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—42no—
141C2×D4×C59—42no—
142C2×D4×C59—81no—
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×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2411yescharacteristic
158C2×C22⋊D59—24no—
159C2×C22⋊D59—42no—
160C2×C22⋊D59—42no—
161C22×Dic59—21no—
162C22×Dic59—21no—
163C22×Dic59—21no—
164C22×Dic59—42no—
165C22×Dic59—42no—
166C22×Dic59—81no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236—21no—
171C2×D236—21no—
172C2×D236#4112yes—
173C2×C4×D59—42no—
174C2×C4×D59—42no—
175C2×C4×D59—81no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—42no—
182C4⋊C4×C59#4112yes—
183C22⋊C4×C59—41no—
184C22⋊C4×C59—42no—
185C22⋊C4×C59—42no—
186C22⋊C4×C59—42no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—81no—
190C22⋊C4×C59D814yescomplemented
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59—42no—
196#11745669—44no—
197(C2×D59)⋊C4—24no—
198(C2×D59)⋊C4—42no—
199(C2×D59)⋊C4—42no—
200(C2×D59)⋊C4—81no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—42no—
206C4⋊Dic59#4112yes—
207C4⋊Dic59#4112yes—
208Dic59⋊C4—42no—
209C4×Dic59—42no—
210C2×C59⋊C8—21no—
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—21no—
221C2×C59⋊C8—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59C2×D812yes—
236C23×C59C22×D411yescharacteristic
237C22×D59—22no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242C22×D59—41no—
243C22×D59—41no—
244Q8×C59—84no—
245D4×C59—41no—
246D4×C59—41no—
247D4×C59—41no—
248D4×C59—41no—
249D4×C59—84no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
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—22no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
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×C59C2×D812yes—
277C2×C4×C59C2×D812yes—
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×C4×C59H(5,𝔽2)11yescharacteristic
284C22⋊D59—48no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—84no—
295D236—22no—
296D236—22no—
297D236—41no—
298D236—41no—
299C4×D59—84no—
300C59⋊C8—41no—
301C59⋊C8—41no—
302C59⋊C8—41no—
303C59⋊C8—41no—
304#26720—591nomaximal, Sylow
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—81no—
313C22×C59—81no—
314C22×C59—81no—
315C22×C59—81no—
316C22×C59—81no—
317C22×C59—81no—
318C22×C59—81no—
319C22×C59#52511yescharacteristic
320C22×C59#54611yescharacteristic
321C22×C59#54611yescharacteristic
322C22×C59C22×D811yescharacteristic
323C22×C59#57511yescharacteristic
324C22×C59#57711yescharacteristic
325C22×C59#57711yescharacteristic
326C2×D59—42no—
327C2×D59—42no—
328C2×D59—42no—
329C2×D59—81no—
330C2×D59—81no—
331C2×D59—81no—
332C2×D59—81no—
333C4×C59—22no—
334C4×C59—22no—
335C4×C59—41no—
336C4×C59—42no—
337C4×C59—41no—
338C4×C59—41no—
339C4×C59—81no—
340C4×C59—81no—
341C4×C59#52911yescharacteristic
342C4×C59#53811yescharacteristic
343C4×C59#55511yescharacteristic
344C4×C59#55911yescharacteristic
345Dic59—42no—
346Dic59—42no—
347Dic59—81no—
348#2491D5911yescharacteristic, complemented
349#2361—591no—
350#2054—591no—
351#2033—591no—
352#2023—591no—
353#1999—591no—
354#1988—591no—
355#1934—591no—
356#1925—591no—
357#1923—591no—
358#1918—591no—
359#1879—591no—
360#1874—591no—
361#1823—591no—
362C4×#102—591no—
363C2×C59—42no—
364C2×C59—161no—
365C2×C59#245911yescharacteristic
366C2×C59#310011yescharacteristic
367C2×C59#312511yescharacteristic
368C2×C59#329411yescharacteristic
369C2×C59#329411yescharacteristic
370C2×C59#332111yescharacteristic
371C2×C59#332611yescharacteristic
372D59—82no—
373C22×D8—591no—
374C2×C4⋊Q8C2×D5911yescharacteristic
375C2×#124—21no—
376C2×#121—591no—
377C2×#121C2×D5911yescharacteristic
378C2×C4×D4—591no—
379C2×C4×D4—1181no—
380C22×C4⋊C4—591no—
381C2×#107—591no—
382C2×C4⋊C8—591no—
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×C22⋊C8—591no—
390C2×C22⋊C8—591no—
391C2×C4×C8—591no—
392#394—21no—
393#393—21no—
394#390—591no—
395#390C2×D5911yescharacteristic
396#390C2×D5911yescharacteristic
397#389—591no—
398#388—21no—
399#388—1181no—
400#386—1181no—
401#385—1181no—
402#380C2×D5911yescharacteristic
403C4×C4⋊C4—591no—
404C4×C4⋊C4C2×D5911yescharacteristic
405C4×C22⋊C4C2×D5911yescharacteristic
406#340—591no—
407#340—591no—
408#340—591no—
409#340—591no—
410#340—591no—
411#340—591no—
412#340—591no—
413#340—591no—
414#336—591no—
415#336—591no—
416C59#2672011yescharacteristic, complemented, Sylow
417C22×Q8—21no—
418C22×D4—21no—
419C22×D4—591no—
420C22×D4—1181no—
421C22×D4C22×D5911yescharacteristic
422C23×C4—1181no—
423C23×C4—1181no—
424C23×C4C22×D5911yescharacteristic
425C2×D8—1182no—
426C2×D8—2361no—
427C2×D8—2361no—
428C22×C8—591no—
429C22×C8—591no—
430C22×C8—591no—
431C22×C8—591no—
432C4⋊Q8—22no—
433C4⋊Q8—41no—
434#124—44no—
435#121—22no—
436#121—41no—
437#121—1182no—
438#121—1182no—
439C4×D4—1182no—
440C4×D4—2361no—
441C4×D4—2364no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—1182no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—2361no—
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C4⋊C4C22×D5911yescharacteristic
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1181no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4—1181no—
463C2×C22⋊C4C22⋊D5911yescharacteristic
464C2×C22⋊C4C22⋊D5911yescharacteristic
465C2×C42—21no—
466C2×C42—1181no—
467C2×C42C22×D5911yescharacteristic
468C2×C42C22×D5911yescharacteristic
469#107—1182no—
470C4⋊C8—2361no—
471#102—1182no—
472#102—1182no—
473#102—1182no—
474#102—1182no—
475#102—2361no—
476#102—2361no—
477C22⋊C8—2361no—
478C22⋊C8—2361no—
479C4×C8—2361no—
480#95—21no—
481#95—21no—
482#95—1181no—
483#95—1181no—
484#95C22⋊D5911yescharacteristic
485#95C22⋊D5911yescharacteristic
486C24—21no—
487C24—1181no—
488C24C2×C22⋊D5911yescharacteristic
489C2×Q8—42no—
490C2×Q8—42no—
491C2×Q8—81no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—81no—
501C2×D4—592no—
502C2×D4—1184no—
503C2×D4—1181no—
504C2×D4—1181no—
505C2×D4—1181no—
506C2×D4—1181no—
507C2×D4—1181no—
508C2×D4—2362no—
509C2×D4—2362no—
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—1181no—
520C22×C4—1181no—
521C22×C4—1181no—
522C22×C4—4721no—
523C22×C4—4721no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4—2362no—
527C22×C4—2362no—
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C23×D5911yescharacteristic
534D8—2364no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
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—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—42no—
553C4⋊C4—592no—
554C4⋊C4—592no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—2362no—
560C4⋊C4—2362no—
561C4⋊C4#1174568712yes—
562C22⋊C4—41no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—81no—
569C22⋊C4—1184no—
570C22⋊C4—4721no—
571C22⋊C4—2362no—
572C22⋊C4—2362no—
573C22⋊C4#1174566914yescomplemented
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—2362no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—1182no—
594C23—2361no—
595C23—2361no—
596C23—2361no—
597C23—2361no—
598C23—2361no—
599C23—2361no—
600C23C2×#1174566912yes—
601C23C22×C22⋊D5911yescharacteristic
602Q8—84no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—84no—
608D4—1182no—
609D4—1182no—
610D4—2368no—
611D4—2361no—
612D4—2361no—
613C2×C4—21no—
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—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
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—1182no—
640C2×C4—1182no—
641C2×C4—4724no—
642C2×C4—4724no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4C2×#1174566912yes—
651C2×C4C2×#1174566912yes—
652C2×C4#41×D5911yescharacteristic
653C2×C4#41×D5911yescharacteristic
654C2×C4#41×D5911yescharacteristic
655C2×C4C2×#1174568711yescharacteristic
656C2×C4#1427377211yescharacteristic
657C2×C4#1427377311yescharacteristic
658C8—2361no—
659C8—2361no—
660C8—2361no—
661C8—2361no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—4721no—
677C22—4721no—
678C22—4721no—
679C22—4721no—
680C22—2362no—
681C22—2362no—
682C22—2362no—
683C22#1683790911yescharacteristic
684C22#1683804011yescharacteristic
685C22#1683804611yescharacteristic
686C22C22×#1174566911yescharacteristic
687C22#1683820011yescharacteristic
688C22#1683821011yescharacteristic
689C22#1683821311yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—41no—
694C4—41no—
695C4—41no—
696C4—81no—
697C4—81no—
698C4—4721no—
699C4—2362no—
700C4—2362no—
701C4#1683793111yescharacteristic
702C4#1683798611yescharacteristic
703C4#1683811411yescharacteristic
704C4#1683813411yescharacteristic
705C2—42no—
706C2—161no—
707C2—4722no—
708C2#2142802911yescharacteristic
709C2#2143409211yescharacteristic
710C2#2143436711yescharacteristic
711C2#2143590311yescharacteristic
712C2#2143590911yescharacteristic
713C2#2143627611yescharacteristic
714C2#2143634911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2491C2
socleC23×C59C22×D4
prime radical#21425092C2
hypercenter#2491D59
hypocenterC59#26720
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2491

Complements

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

NH ≅ G/Ntype
1. #21427110C2semidirect
2. #21425406C2semidirect
3. #21425278C2semidirect
4. #21425229C2semidirect
6. #21425049C2semidirect
7. #21424782C2semidirect
8. #21424713C2semidirect
9. #21424704C2semidirect
10. #21424667C2semidirect
11. #21424447C2semidirect
12. #21424414C2semidirect
13. #21424180C2semidirect
14. C4×#14273647C2semidirect
15. C59×#2491C2semidirect
190. C22⋊C4×C59D8semidirect
348. #2491D59semidirect
416. C59#26720semidirect
573. C22⋊C4#11745669semidirect

Maximal subgroups

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

subgroupindex
#214271102
#214254062
#214252782
#214252292
#214250922
#214250492
#214247822
#214247132
#214247042
#214246672
#214244472
#214244142
#214241802
C4×#142736472
C59×#24912
#2672059