Finite Group Databasebeta

← #27433119

Subgroups — #27433119

Order 13568.

894 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×#16810936C211yesmaximal, characteristic, complemented
2C2×#16810701C211yesmaximal, characteristic, complemented
3#20278133C211yesmaximal, characteristic
4#20276211C211yesmaximal, characteristic, complemented
5#20276141C211yesmaximal, characteristic, complemented
6#20276086C211yesmaximal, characteristic, complemented
7#20275897C211yesmaximal, characteristic, complemented
8#20275445C211yesmaximal, characteristic, complemented
9#20275397C211yesmaximal, characteristic, complemented
10#20275151C211yesmaximal, characteristic, complemented
11#20275151C211yesmaximal, characteristic, complemented
12#20274912C211yesmaximal, characteristic, complemented
13#20274746C211yesmaximal, characteristic, complemented
14#20274434C211yesmaximal, characteristic, complemented
15C53×#2487C211yesmaximal, characteristic, complemented
16C22×#11719917C2211yescharacteristic
17C22×#11719917C2211yescharacteristic
18C2×#13133191C2211yescharacteristic
19C2×#13133191C2211yescharacteristic
20C2×#13133176C2211yescharacteristic
21#16810936—24no—
22#16810701—24no—
23C2×#13133150C2211yescharacteristic
24C2×#13133150C2211yescharacteristic
25C2×#13133150C2211yescharacteristic
26C2×#13133148C2211yescharacteristic
27C2×C4⋊#88322C2211yescharacteristic
28C2×#13133137C2211yescharacteristic
29C2×#13133137C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32C2×C22⋊#88322C2211yescharacteristic
33C2×C22⋊#88322C2211yescharacteristic
34C2×C4×#88322C2211yescharacteristic
35#16810538—21no—
36#16810531—21no—
37#16810525C2211yescharacteristic
38#16810523—21no—
39#16810521C2211yescharacteristic
40#16810513—21no—
41#16810483C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50C2×C4×D4×C53C2211yescharacteristic
51C22×C4⋊C4×C53C2211yescharacteristic
52C53×#400—21no—
53C53×#399—21no—
54C53×#389C2211yescharacteristic
55C53×#389C2211yescharacteristic
56C53×#386—21no—
57C53×#385—21no—
58C53×#380C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C53×#380C2211yescharacteristic
61C22×D212C2311yescharacteristic
62C22×C22⋊D53—21no—
63C22×C22⋊D53—21no—
64C2×#11719917—22no—
65C2×#11719917—22no—
66C2×#11719917—22no—
67C2×#11719917—22no—
68C2×#11719917—41no—
69C2×#11719917—41no—
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C22×#88322C2311yescharacteristic
74#13133191—22no—
75#13133191—22no—
76#13133191—22no—
77#13133191—41no—
78#13133176—22no—
79#13133176—41no—
80C2×C4⋊Dic53C2311yescharacteristic
81C2×C4⋊Dic53C2311yescharacteristic
82C2×C4⋊Dic53C2311yescharacteristic
83C2×#11719919—21no—
84C2×C22⋊Dic53—21no—
85C2×C22⋊Dic53—21no—
86C2×#11719921—21no—
87C2×#11719921—21no—
88C2×#11719921—21no—
89C2×#11719921—21no—
90C2×C4×Dic53—21no—
91#13133150—22no—
92#13133150—22no—
93#13133150—22no—
94#13133148—41no—
95C4⋊#88322—22no—
96#13133137—22no—
97#13133137—22no—
98#13133137—22no—
99#13133137—41no—
100C22⋊#88322—22no—
101C22⋊#88322D414yescomplemented
102C4×#88322—22no—
103#13133124—21no—
104#13133124—21no—
105C22×D4×C53D411yescharacteristic
106C23×C4×C53—21no—
107C23×C4×C53C2311yescharacteristic
108C23×C4×C53C2311yescharacteristic
109C4×D4×C53—22no—
110C4×D4×C53—22no—
111C2×C4⋊C4×C53—21no—
112C2×C4⋊C4×C53—21no—
113C2×C4⋊C4×C53—21no—
114C2×C4⋊C4×C53—22no—
115C2×C4⋊C4×C53—22no—
116C2×C4⋊C4×C53D411yescharacteristic
117C2×C4⋊C4×C53C2311yescharacteristic
118C2×C4⋊C4×C53C2311yescharacteristic
119C2×C4⋊C4×C53C2311yescharacteristic
120C2×C4⋊C4×C53C2311yescharacteristic
121C2×C22⋊C4×C53—21no—
122C2×C22⋊C4×C53—21no—
123C2×C22⋊C4×C53—21no—
124C2×C22⋊C4×C53D411yescharacteristic
125C2×C22⋊C4×C53D411yescharacteristic
126C2×C42×C53C2311yescharacteristic
127#95×C53—21no—
128#95×C53—21no—
129#95×C53—21no—
130#95×C53—21no—
131#95×C53—21no—
132C24×C53C2×D411yescharacteristic
133C24×C53C2×D411yescharacteristic
134C23×D53—21no—
135C2×D4×C53—22no—
136C2×D4×C53—22no—
137C2×D4×C53—41no—
138C22×C4×C53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—42no—
153C22×C4×C53—81no—
154C22×C4×C53—81no—
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53C2×D411yescharacteristic
158C22×C4×C53C2×D412yes—
159C22×C4×C53C2×D411yescharacteristic
160C22×C4×C53#4112yes—
161C22×C4×C53C2411yescharacteristic
162C2×C22⋊D53—42no—
163C2×C22⋊D53—42no—
164C2×C22⋊D53—42no—
165C2×C22⋊D53—81no—
166C2×C22⋊D53—81no—
167C2×C22⋊D53—81no—
168C22×Dic53—21no—
169C22×Dic53—21no—
170C22×Dic53—21no—
171C2×D212—21no—
172C2×D212—21no—
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212—21no—
177C4⋊C4×C53—22no—
178C4⋊C4×C53—21no—
179C4⋊C4×C53—21no—
180C4⋊C4×C53—21no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—42no—
187C4⋊C4×C53—81no—
188C4⋊C4×C53—81no—
189C22⋊C4×C53—22no—
190C22⋊C4×C53—22no—
191C22⋊C4×C53—42no—
192C22⋊C4×C53—81no—
193C22⋊C4×C53—81no—
194C42×C53—21no—
195C42×C53—21no—
196C22⋊Dic53—42no—
197C22⋊Dic53—81no—
198#11719921—42no—
199#11719921—42no—
200#11719921—42no—
201#11719921—81no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53#4112yes—
208#11719919—81no—
209C4×Dic53—42no—
210#11719917—44no—
211#11719917—44no—
212C2×#88322—21no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322C2×D412yes—
222C2×#88322C2×D412yes—
223C2×#88322#4112yes—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53#12112yes—
238C23×C53C22×D411yescharacteristic
239C22×D53—41no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246D4×C53—44no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
253C2×C4×C53—22no—
254C2×C4×C53—22no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—41no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
274C2×C4×C53—41no—
275C2×C4×C53—41no—
276C2×C4×C53—41no—
277C2×C4×C53—84no—
278C2×C4×C53#12112yes—
279C2×C4×C53#13712yes—
280C2×C4×C53C22×D411yescharacteristic
281C2×C4×C53C2×#4111yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C2×C4×C53H(5,𝔽2)11yescharacteristic
285C2×C4×C532−1+411yescharacteristic
286C22⋊D53—84no—
287C22⋊D53—84no—
288C2×Dic53—22no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297D212—41no—
298D212—41no—
299D212—41no—
300D212—41no—
301#88322—22no—
302#88322—22no—
303#88322—22no—
304#88322—41no—
305#25258—531nomaximal, Sylow
306C22×C53—22no—
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—41no—
310C22×C53—41no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53—41no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53C2×#12111yescharacteristic
321C22×C53#54611yescharacteristic
322C22×C53#54711yescharacteristic
323C22×C53C2×#13711yescharacteristic
324C22×C53#57511yescharacteristic
325C22×C53#57611yescharacteristic
326C22×C53#57611yescharacteristic
327C2×D53—81no—
328C2×D53—81no—
329C2×D53—81no—
330C2×D53—81no—
331C2×D53—81no—
332C2×D53—81no—
333C2×D53—81no—
334C4×C53—22no—
335C4×C53—22no—
336C4×C53—41no—
337C4×C53—41no—
338C4×C53—81no—
339C4×C53—81no—
340C4×C53—81no—
341C4×C53—81no—
342C4×C53#52911yescharacteristic
343C4×C53#53911yescharacteristic
344C4×C53#54611yescharacteristic
345C4×C53#54711yescharacteristic
346Dic53—42no—
347Dic53—81no—
348Dic53—81no—
349C2×#480—531no—
350C2×#436—531no—
351#2487D5311yescharacteristic, complemented
352#2414—531no—
353#2087—531no—
354#2075—531no—
355#2065—531no—
356#2033—531no—
357#1942—531no—
358#1934—531no—
359#1895—531no—
360#1895—531no—
361#1854—531no—
362#1809—531no—
363#1736—531no—
364C2×C53—42no—
365C2×C53—81no—
366C2×C53#242511yescharacteristic
367C2×C53#305611yescharacteristic
368C2×C53#305811yescharacteristic
369C2×C53#332211yescharacteristic
370C2×C53#333311yescharacteristic
371C2×C53#335511yescharacteristic
372C2×C53#335711yescharacteristic
373D53—161no—
374C22×M16—531no—
375C22×M16—531no—
376C2×#121—531no—
377C2×#121—531no—
378C2×C4×D4C2×D5311yescharacteristic
379C2×#117—531no—
380C22×C4⋊C4C2×D5311yescharacteristic
381#480—1064no—
382#436—1064no—
383C2×#107—531no—
384C2×#107—531no—
385C2×#107—531no—
386C2×#106—531no—
387C2×C4⋊C8—531no—
388C2×#102—531no—
389C2×#102—531no—
390C2×#102—531no—
391C2×#102—531no—
392C2×C22⋊C8—531no—
393C2×C22⋊C8—531no—
394C2×C4×C8—531no—
395#400—21no—
396#399—21no—
397#394—1061no—
398#392—1061no—
399#390—531no—
400#390—1061no—
401#389—531no—
402#389C2×D5311yescharacteristic
403#389C2×D5311yescharacteristic
404#388—1061no—
405#386—21no—
406#385—21no—
407#380—531no—
408#380C2×D5311yescharacteristic
409#380C2×D5311yescharacteristic
410#380C2×D5311yescharacteristic
411#340—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419C53#2525811yescharacteristic, complemented, Sylow
420C22×D4—531no—
421C22×D4—1061no—
422C22×D4—1061no—
423C22×D4C22⋊D5311yescharacteristic
424C23×C4—21no—
425C23×C4C22×D5311yescharacteristic
426C23×C4C22×D5311yescharacteristic
427C2×M16—1062no—
428C2×M16—1062no—
429C2×M16—1062no—
430C2×M16—1062no—
431C2×M16—2121no—
432C2×M16—2121no—
433C22×C8—531no—
434C22×C8—531no—
435C22×C8—531no—
436C22×C8—531no—
437#121—1062no—
438#121—1062no—
439#121—1062no—
440#121—2121no—
441C4×D4—22no—
442C4×D4—22no—
443#117—1062no—
444#117—2121no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—1061no—
454C2×C4⋊C4C22⋊D5311yescharacteristic
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C4⋊C4C22×D5311yescharacteristic
457C2×C4⋊C4C22×D5311yescharacteristic
458C2×C4⋊C4C22×D5311yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4C22⋊D5311yescharacteristic
469C2×C22⋊C4C22⋊D5311yescharacteristic
470C2×C42—1061no—
471C2×C42C22×D5311yescharacteristic
472#107—1062no—
473#107—1062no—
474#107—1062no—
475#106—2121no—
476C4⋊C8—1062no—
477#102—1062no—
478#102—1062no—
479#102—1062no—
480#102—2121no—
481C22⋊C8—534no—
482C22⋊C8—1062no—
483C4×C8—1062no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—1061no—
490#95—1061no—
491C24—1061no—
492C24C2×C22⋊D5311yescharacteristic
493C24C2×C22⋊D5311yescharacteristic
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—41no—
497C2×D4—1061no—
498C2×D4—1061no—
499C2×D4—1061no—
500C2×D4—1061no—
501C2×D4—1061no—
502C2×D4—1061no—
503C2×D4—4241no—
504C2×D4—4241no—
505C2×D4—4241no—
506C2×D4—2122no—
507C2×D4—2122no—
508C2×D4—2122no—
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—1061no—
527C22×C4—1061no—
528C22×C4—1061no—
529C22×C4D4×D5312yes—
530C22×C4#1171994712yes—
531C22×C4C2×C22⋊D5311yescharacteristic
532C22×C4C2×C22⋊D5311yescharacteristic
533C22×C4C2×C22⋊D5311yescharacteristic
534C22×C4C2×C22⋊D5311yescharacteristic
535C22×C4C23×D5311yescharacteristic
536M16—2124no—
537M16—2124no—
538C2×C8—532no—
539C2×C8—532no—
540C2×C8—532no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
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—532no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—4241no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C22⋊C4—4241no—
575C22⋊C4—4241no—
576C22⋊C4—2122no—
577C22⋊C4—2122no—
578C22⋊C4—2122no—
579C22⋊C4—2122no—
580C42—21no—
581C42—21no—
582C42—2122no—
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—21no—
596C23—2121no—
597C23—2121no—
598C23—2121no—
599C23—2121no—
600C23—2121no—
601C23—2121no—
602C23—2121no—
603C23#1313318912yes—
604C23C22×C22⋊D5311yescharacteristic
605D4—44no—
606D4—4244no—
607D4—4244no—
608D4—2121no—
609D4—2121no—
610D4—2121no—
611D4—2121no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
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—84no—
643C2×C4—1062no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4#1313318912yes—
653C2×C4#1313324812yes—
654C2×C4C2×D4×D5311yescharacteristic
655C2×C4#41×D5311yescharacteristic
656C2×C4#41×D5311yescharacteristic
657C2×C4C2×#1171994711yescharacteristic
658C2×C4#1313326311yescharacteristic
659C2×C4#1313326411yescharacteristic
660C8—1062no—
661C8—1062no—
662C8—1062no—
663C8—2121no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—4241no—
679C22—4241no—
680C22—4241no—
681C22—4241no—
682C22—4241no—
683C22—4241no—
684C22—4241no—
685C22C2×#1313318911yescharacteristic
686C22#1681126111yescharacteristic
687C22#1681127211yescharacteristic
688C22C2×#1313324811yescharacteristic
689C22#1681142111yescharacteristic
690C22#1681142611yescharacteristic
691C22#1681142611yescharacteristic
692C4—22no—
693C4—22no—
694C4—41no—
695C4—41no—
696C4—81no—
697C4—81no—
698C4—81no—
699C4—81no—
700C4—4241no—
701C4—4241no—
702C4—2122no—
703C4#1681115011yescharacteristic
704C4#1681121711yescharacteristic
705C4#1681126511yescharacteristic
706C4#1681127111yescharacteristic
707C2—42no—
708C2—81no—
709C2—8481no—
710C2#2027827011yescharacteristic
711C2#2028434111yescharacteristic
712C2#2028436011yescharacteristic
713C2#2028691011yescharacteristic
714C2#2028704711yescharacteristic
715C2#2028731511yescharacteristic
716C2#2028734111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2487C2
socleC23×C53C22×D4
prime radical#20278133C2
hypercenter#2487D53
hypocenterC53#25258
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2487

Complements

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

NH ≅ G/Ntype
1. C2×#16810936C2semidirect
2. C2×#16810701C2semidirect
4. #20276211C2semidirect
5. #20276141C2semidirect
6. #20276086C2semidirect
7. #20275897C2semidirect
8. #20275445C2semidirect
9. #20275397C2semidirect
10. #20275151C2semidirect
11. #20275151C2semidirect
12. #20274912C2semidirect
13. #20274746C2semidirect
14. #20274434C2semidirect
15. C53×#2487C2semidirect
101. C22⋊#88322D4semidirect
351. #2487D53semidirect
419. C53#25258semidirect

Maximal subgroups

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

subgroupindex
C2×#168109362
C2×#168107012
#202781332
#202762112
#202761412
#202760862
#202758972
#202754452
#202753972
#202751512
#202749122
#202747462
#202744342
C53×#24872
#2525853