Finite Group Databasebeta

← #27397915

Subgroups — #27397915

Order 13568.

922 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811005C211yesmaximal, characteristic
2#20277426C211yesmaximal, characteristic, complemented
3#20275532C211yesmaximal, characteristic, complemented
4#20275529C211yesmaximal, characteristic, complemented
5#20275073C211yesmaximal, characteristic, complemented
6#20275070C211yesmaximal, characteristic, complemented
7#20275066C211yesmaximal, characteristic
8#20275063C211yesmaximal, characteristic
9#20275059C211yesmaximal, characteristic, complemented
10#20275056C211yesmaximal, characteristic, complemented
11#20275052C211yesmaximal, characteristic, complemented
12#20275049C211yesmaximal, characteristic, complemented
13#20274842C211yesmaximal, characteristic, complemented
14#20274467C211yesmaximal, characteristic, complemented
15C53×#2326C211yesmaximal, characteristic, complemented
16C22×#11719925C2211yescharacteristic
17C22×#11719923C2211yescharacteristic
18C22×#11719924C2211yescharacteristic
19C22×#11719922C2211yescharacteristic
20C2×#13133205C2211yescharacteristic
21C2×C4×Dic106C2211yescharacteristic
22C2×C4×D212C2211yescharacteristic
23#16811005C418yescomplemented
24C2×#13133141C2211yescharacteristic
25C2×#13133141C2211yescharacteristic
26C2×#13133140C2211yescharacteristic
27C2×#13133140C2211yescharacteristic
28C2×#13133138C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32C2×#13133128C2211yescharacteristic
33C2×C4×#88322C2211yescharacteristic
34#16810529C2211yescharacteristic
35#16810525C2211yescharacteristic
36#16810515—21no—
37#16810515—21no—
38#16810497—21no—
39#16810497—21no—
40#16810493C2211yescharacteristic
41#16810385C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810378C2211yescharacteristic
46#16810378C2211yescharacteristic
47#16810378C2211yescharacteristic
48#16810378C2211yescharacteristic
49C2×#124×C53C2211yescharacteristic
50C2×C4×Q8×C53C2211yescharacteristic
51C2×C4×D4×C53C2211yescharacteristic
52C53×#391C2211yescharacteristic
53C53×#390C2211yescharacteristic
54C53×#388—21no—
55C53×#388—21no—
56C53×#385—21no—
57C53×#385—21no—
58C53×#384C2211yescharacteristic
59C53×#376C2211yescharacteristic
60C22×Dic106C2311yescharacteristic
61C22×D212C2311yescharacteristic
62C22×C4×D53—21no—
63C2×#11719925—41no—
64C2×#11719925—41no—
65C2×#11719925C2×C414yescomplemented
66C2×#11719923—41no—
67C2×#11719923—41no—
68C2×#11719923C2×C414yescomplemented
69C2×#11719924—41no—
70C2×#11719924—41no—
71C2×#11719924C2×C414yescomplemented
72C2×#11719922—41no—
73C2×#11719922—41no—
74C2×#11719922C2×C414yes—
75C22×#88322C2311yescharacteristic
76C22×#88322C2311yescharacteristic
77C22×#88322C2311yescharacteristic
78C22×#88322C2311yescharacteristic
79#13133205—22no—
80#13133205C2×C414yescomplemented
81C4×Dic106—41no—
82C4×Dic106—41no—
83C4×D212—41no—
84C4×D212—41no—
85C2×C4⋊Dic53—21no—
86C2×C4⋊Dic53—21no—
87C2×C4⋊Dic53C2311yescharacteristic
88C2×C4⋊Dic53C2311yescharacteristic
89C2×#11719919—21no—
90C2×#11719921—21no—
91C2×#11719921—21no—
92C2×#11719921—21no—
93C2×#11719921—21no—
94C2×#11719921—21no—
95C2×C4×Dic53—21no—
96#13133141—41no—
97#13133141—41no—
98#13133140—41no—
99#13133140—41no—
100#13133138—41no—
101#13133138—41no—
102#13133137—41no—
103#13133137—41no—
104#13133128—22no—
105C4×#88322C2×C414yescomplemented
106#13133124—21no—
107#13133124—21no—
108C22×Q8×C53C2311yescharacteristic
109C22×D4×C53C2311yescharacteristic
110C23×C4×C53—21no—
111#124×C53—22no—
112#124×C53C2×C414yescomplemented
113C4×Q8×C53—41no—
114C4×Q8×C53—41no—
115C4×D4×C53—41no—
116C4×D4×C53—41no—
117C2×C4⋊C4×C53—21no—
118C2×C4⋊C4×C53—21no—
119C2×C4⋊C4×C53—21no—
120C2×C4⋊C4×C53C2311yescharacteristic
121C2×C4⋊C4×C53C2311yescharacteristic
122C2×C22⋊C4×C53—21no—
123C2×C22⋊C4×C53—21no—
124C2×C22⋊C4×C53—21no—
125C2×C22⋊C4×C53—21no—
126C2×C22⋊C4×C53—21no—
127C2×C42×C53—21no—
128C2×C42×C53C2311yescharacteristic
129C2×C42×C53C2311yescharacteristic
130C2×C42×C53C2311yescharacteristic
131#95×C53—21no—
132#95×C53—21no—
133#95×C53D411yescharacteristic
134#95×C53D411yescharacteristic
135#95×C53D411yescharacteristic
136#95×C53D411yescharacteristic
137C24×C53—21no—
138C23×D53—21no—
139C2×Q8×C53—21no—
140C2×Q8×C53—21no—
141C2×Q8×C53—21no—
142C2×Q8×C53—21no—
143C2×Q8×C53—21no—
144C2×Q8×C53C22×C412yes—
145C2×D4×C53—21no—
146C2×D4×C53—21no—
147C2×D4×C53—21no—
148C2×D4×C53—21no—
149C2×D4×C53—21no—
150C2×D4×C53C22×C412yes—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—42no—
155C22×C4×C53—81no—
156C22×C4×C53—81no—
157C22×C4×C53C2×D411yescharacteristic
158C22×C4×C53C2×D411yescharacteristic
159C22×C4×C53C2×D411yescharacteristic
160C22×C4×C53C2×D411yescharacteristic
161C22×C4×C53C2×D411yescharacteristic
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53C2411yescharacteristic
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C2×D212—21no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212—21no—
171C2×D212—21no—
172C2×D212C22×C412yes—
173C2×C4×D53—42no—
174C2×C4×D53—81no—
175C2×C4×D53—81no—
176C2×Dic106—21no—
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—21no—
180C2×Dic106—21no—
181C2×Dic106C22×C412yes—
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—24no—
190C22⋊C4×C53—24no—
191C22⋊C4×C53—42no—
192C22⋊C4×C53—81no—
193C22⋊C4×C53—81no—
194C42×C53—21no—
195C42×C53—21no—
196C42×C53—21no—
197C42×C53—21no—
198C42×C53—42no—
199C42×C53C22×C412yes—
200C42×C53#4112yes—
201#11719925—44no—
202#11719924—44no—
203#11719923—44no—
204#11719922—44no—
205#11719921—24no—
206#11719921—24no—
207#11719921—42no—
208#11719921—81no—
209#11719921—81no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—81no—
215C4⋊Dic53—81no—
216#11719919—42no—
217C4×Dic53—42no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322C22×C412yes—
229C2×#88322C22×C412yes—
230C23×C53—22no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53C22×D411yescharacteristic
238C22×D53—22no—
239C22×D53—41no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245Q8×C53—22no—
246Q8×C53—22no—
247Q8×C53—41no—
248Q8×C53—41no—
249D4×C53—22no—
250D4×C53—22no—
251D4×C53—41no—
252D4×C53—41no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—22no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
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—41no—
278C2×C4×C53—84no—
279C2×C4×C53C4×D412yes—
280C2×C4×C53C4×D412yes—
281C2×C4×C53C23×C411yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53H(5,𝔽2)11yescharacteristic
284C2×C4×C53H(5,𝔽2)11yescharacteristic
285C2×C4×C53H(5,𝔽2)11yescharacteristic
286C2×C4×C53H(5,𝔽2)11yescharacteristic
287C2×Dic53—22no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296D212—22no—
297D212—22no—
298D212—41no—
299D212—41no—
300C4×D53—84no—
301Dic106—22no—
302Dic106—22no—
303Dic106—41no—
304Dic106—41no—
305#88322—22no—
306#88322—22no—
307#88322—41no—
308#88322—41no—
309#22274—531nomaximal, Sylow
310C22×C53—42no—
311C22×C53—42no—
312C22×C53—42no—
313C22×C53—81no—
314C22×C53—81no—
315C22×C53—81no—
316C22×C53—81no—
317C22×C53C2×C4×D411yescharacteristic
318C22×C53#53511yescharacteristic
319C22×C53#53511yescharacteristic
320C22×C53#57611yescharacteristic
321C22×C53#57711yescharacteristic
322C22×C53#57711yescharacteristic
323C22×C53#57811yescharacteristic
324C2×D53—42no—
325C2×D53—42no—
326C2×D53—42no—
327C2×D53—81no—
328C2×D53—81no—
329C2×D53—81no—
330C2×D53—81no—
331C4×C53—22no—
332C4×C53—22no—
333C4×C53—42no—
334C4×C53—41no—
335C4×C53—41no—
336C4×C53—41no—
337C4×C53—41no—
338C4×C53—81no—
339C4×C53—81no—
340C4×C53#51811yescharacteristic
341C4×C53#51811yescharacteristic
342C4×C53#54011yescharacteristic
343C4×C53#54011yescharacteristic
344Dic53—42no—
345Dic53—81no—
346Dic53—81no—
347C2×#495—531no—
348#2326—531no—
349#2326D5311yescharacteristic, complemented
350#1959—531no—
351#1959—531no—
352#1880—531no—
353#1880—531no—
354#1879—531no—
355#1879—531no—
356#1878—531no—
357#1878—531no—
358#1877—531no—
359#1877—531no—
360#1834—531no—
361#1746—531no—
362C2×C53—82no—
363C2×C53#232811yescharacteristic
364C2×C53#295111yescharacteristic
365C2×C53#295211yescharacteristic
366C2×C53#322411yescharacteristic
367C2×C53#322411yescharacteristic
368C2×C53#322511yescharacteristic
369C2×C53#322511yescharacteristic
370D53—82no—
371C22×Q16—531no—
372C22×SD16—531no—
373C22×SD16—531no—
374C22×D8—531no—
375C2×#124—531no—
376C2×#124C2×D5311yescharacteristic
377C2×C4×Q8—531no—
378C2×C4×Q8C2×D5311yescharacteristic
379C2×C4×D4—531no—
380C2×C4×D4C2×D5311yescharacteristic
381#495—538no—
382C2×#103—531no—
383C2×#103—531no—
384C2×#103—531no—
385C2×#103—531no—
386C2×#102—531no—
387C2×#102—531no—
388C2×#102—531no—
389C2×#102—531no—
390C2×#97—531no—
391C2×C4×C8—531no—
392#391—531no—
393#391C2×D5311yescharacteristic
394#390—531no—
395#390C2×D5311yescharacteristic
396#388—21no—
397#388—21no—
398#388—1061no—
399#388—1061no—
400#385—21no—
401#385—21no—
402#385—1061no—
403#385—1061no—
404#384—531no—
405#384C2×D5311yescharacteristic
406#376C2×D5311yescharacteristic
407#340—531no—
408#340—531no—
409#340—531no—
410#340—531no—
411#336—531no—
412#336—531no—
413#336—531no—
414#336—531no—
415C53#2227411yescharacteristic, complemented, Sylow
416C22×Q8—531no—
417C22×Q8C22×D5311yescharacteristic
418C22×D4—531no—
419C22×D4C22×D5311yescharacteristic
420C23×C4—21no—
421C23×C4—1061no—
422C2×Q16—534no—
423C2×Q16—2121no—
424C2×Q16—2121no—
425C2×SD16—534no—
426C2×SD16—534no—
427C2×SD16—2121no—
428C2×SD16—2121no—
429C2×SD16—2121no—
430C2×SD16—2121no—
431C2×D8—534no—
432C2×D8—2121no—
433C2×D8—2121no—
434C22×C8—531no—
435C22×C8—531no—
436C22×C8—531no—
437C22×C8—531no—
438#124—22no—
439#124—534no—
440#124—1062no—
441#124C4×D5314yescomplemented
442C4×Q8—41no—
443C4×Q8—41no—
444C4×Q8—2121no—
445C4×Q8—2121no—
446C4×D4—41no—
447C4×D4—41no—
448C4×D4—2121no—
449C4×D4—2121no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4C22×D5311yescharacteristic
459C2×C4⋊C4C22×D5311yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C22⋊C4—1061no—
470C2×C42—21no—
471C2×C42—1061no—
472C2×C42C22×D5311yescharacteristic
473C2×C42C22×D5311yescharacteristic
474C2×C42C22×D5311yescharacteristic
475#103—2121no—
476#103—2121no—
477#103—2121no—
478#103—2121no—
479#102—2121no—
480#102—2121no—
481#102—2121no—
482#102—2121no—
483#97—1062no—
484C4×C8—534no—
485#95—21no—
486#95—21no—
487#95—1061no—
488#95—1061no—
489#95C22⋊D5311yescharacteristic
490#95C22⋊D5311yescharacteristic
491#95C22⋊D5311yescharacteristic
492#95C22⋊D5311yescharacteristic
493C24—21no—
494C24—1061no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—532no—
501C2×Q8—1061no—
502C2×Q8—1061no—
503C2×Q8—1061no—
504C2×Q8—1061no—
505C2×Q8—1061no—
506C2×Q8C2×C4×D5312yes—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—532no—
513C2×D4—1061no—
514C2×D4—1061no—
515C2×D4—1061no—
516C2×D4—1061no—
517C2×D4—1061no—
518C2×D4C2×C4×D5312yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—4241no—
529C22×C4—4241no—
530C22×C4—2122no—
531C22×C4C2×C22⋊D5311yescharacteristic
532C22×C4C2×C22⋊D5311yescharacteristic
533C22×C4C2×C22⋊D5311yescharacteristic
534C22×C4C2×C22⋊D5311yescharacteristic
535C22×C4C2×C22⋊D5311yescharacteristic
536C22×C4C2×C22⋊D5311yescharacteristic
537C22×C4C23×D5311yescharacteristic
538Q16—2124no—
539SD16—2124no—
540SD16—2124no—
541D8—2124no—
542C2×C8—532no—
543C2×C8—532no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—1061no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—4241no—
566C4⋊C4—4241no—
567C4⋊C4—2122no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—42no—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—1064no—
574C22⋊C4—1064no—
575C22⋊C4—4241no—
576C22⋊C4—4241no—
577C22⋊C4—2122no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—42no—
583C42—2122no—
584C42C2×C4×D5312yes—
585C42#1171994512yes—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—1062no—
594C23—2121no—
595C23—2121no—
596C23—2121no—
597C23—2121no—
598C23—2121no—
599C23—2121no—
600C23C22×C22⋊D5311yescharacteristic
601Q8—22no—
602Q8—22no—
603Q8—41no—
604Q8—41no—
605Q8—1062no—
606Q8—1062no—
607Q8—2121no—
608Q8—2121no—
609D4—22no—
610D4—22no—
611D4—41no—
612D4—41no—
613D4—1062no—
614D4—1062no—
615D4—2121no—
616D4—2121no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
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—4244no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4C4×C22⋊D5312yes—
654C2×C4C4×C22⋊D5312yes—
655C2×C4C22×C4×D5311yescharacteristic
656C2×C4C2×#1171994511yescharacteristic
657C2×C4#1313326211yescharacteristic
658C2×C4#1313326211yescharacteristic
659C2×C4#1313326311yescharacteristic
660C2×C4#1313326311yescharacteristic
661C8—1062no—
662C8—1062no—
663C8—2121no—
664C8—2121no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—4241no—
673C22—4241no—
674C22—4241no—
675C22—4241no—
676C22—2122no—
677C22—2122no—
678C22—2122no—
679C22C2×C4×C22⋊D5311yescharacteristic
680C22#1681118711yescharacteristic
681C22#1681119011yescharacteristic
682C22#1681142611yescharacteristic
683C22#1681143111yescharacteristic
684C22#1681143411yescharacteristic
685C22#1681143811yescharacteristic
686C4—22no—
687C4—22no—
688C4—41no—
689C4—41no—
690C4—41no—
691C4—41no—
692C4—42no—
693C4—81no—
694C4—81no—
695C4—4241no—
696C4—4241no—
697C4—2122no—
698C4#1681109511yescharacteristic
699C4#1681109511yescharacteristic
700C4#1681122411yescharacteristic
701C4#1681122411yescharacteristic
702C2—82no—
703C2—4242no—
704C2#2027743711yescharacteristic
705C2#2028358811yescharacteristic
706C2#2028359611yescharacteristic
707C2#2028580311yescharacteristic
708C2#2028580911yescharacteristic
709C2#2028581811yescharacteristic
710C2#2028582411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2326C2
socleC23×C53C22×D4
prime radicalC22×#11719922C22
cosocleC22×C4×C53C24
hypercenter#2326D53
hypocenterC53#22274
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ #376 ◁ #2326

Complements

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

NH ≅ G/Ntype
2. #20277426C2semidirect
3. #20275532C2semidirect
4. #20275529C2semidirect
5. #20275073C2semidirect
6. #20275070C2semidirect
9. #20275059C2semidirect
10. #20275056C2semidirect
11. #20275052C2semidirect
12. #20275049C2semidirect
13. #20274842C2semidirect
14. #20274467C2semidirect
15. C53×#2326C2semidirect
23. #16811005C4semidirect
65. C2×#11719925C2×C4semidirect
68. C2×#11719923C2×C4semidirect
71. C2×#11719924C2×C4semidirect
80. #13133205C2×C4semidirect
105. C4×#88322C2×C4semidirect
112. #124×C53C2×C4semidirect
349. #2326D53semidirect
415. C53#22274semidirect
441. #124C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168110052
#202774262
#202755322
#202755292
#202750732
#202750702
#202750662
#202750632
#202750592
#202750562
#202750522
#202750492
#202748422
#202744672
C53×#23262
#2227453