Finite Group Databasebeta

← #27395463

Subgroups — #27395463

Order 13568.

976 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810762C211yesmaximal, characteristic
2#20277408C211yesmaximal, characteristic
3#20275599C211yesmaximal, characteristic, complemented
4#20275572C211yesmaximal, characteristic, complemented
5#20275408C211yesmaximal, characteristic, complemented
6#20275394C211yesmaximal, characteristic, complemented
7#20275353C211yesmaximal, characteristic, complemented
8#20275346C211yesmaximal, characteristic, complemented
9#20275052C211yesmaximal, characteristic, complemented
10#20275052C211yesmaximal, characteristic, complemented
11#20275037C211yesmaximal, characteristic
12#20274914C211yesmaximal, characteristic, complemented
13#20274650C211yesmaximal, characteristic, complemented
14#20274481C211yesmaximal, characteristic, complemented
15C53×#2310C211yesmaximal, characteristic, complemented
16C22×#11719924C2211yescharacteristic
17C22×#11719924C2211yescharacteristic
18C2×#13133191C2211yescharacteristic
19C2×C4×D212C2211yescharacteristic
20#16810762C418yescomplemented
21C2×#13133150C2211yescharacteristic
22C2×#13133148C2211yescharacteristic
23C2×#13133141C2211yescharacteristic
24C2×#13133141C2211yescharacteristic
25C2×#13133141C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×#13133137C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31C2×C22⋊#88322C2211yescharacteristic
32C2×C22⋊#88322C2211yescharacteristic
33C2×#13133128C2211yescharacteristic
34C2×C4×#88322C2211yescharacteristic
35#16810525C2211yescharacteristic
36#16810523—21no—
37#16810521C2211yescharacteristic
38#16810513—21no—
39#16810499—21no—
40#16810494—21no—
41#16810483C2211yescharacteristic
42C4×C4⋊Dic53C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810378C2211yescharacteristic
48#16810378C2211yescharacteristic
49C23×Q8×C53C2211yescharacteristic
50C2×#117×C53C2211yescharacteristic
51C2×#117×C53C2211yescharacteristic
52C53×#391—21no—
53C53×#391—21no—
54C53×#391C2211yescharacteristic
55C53×#391C2211yescharacteristic
56C53×#391C2211yescharacteristic
57C53×#391C2211yescharacteristic
58C53×#381—21no—
59C53×#381—21no—
60C22×D212C2311yescharacteristic
61C22×C22⋊D53—21no—
62C22×C4×D53—21no—
63C2×#11719924—41no—
64C2×#11719924—41no—
65C2×#11719924—41no—
66C2×#11719924—41no—
67C2×#11719924C2×C414yes—
68C2×#11719924C2×C414yes—
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73#13133191—22no—
74#13133191C2×C414yes—
75C4×D212—41no—
76C4×D212—41no—
77C2×C4⋊Dic53C2311yescharacteristic
78C2×C4⋊Dic53C2311yescharacteristic
79C2×C4⋊Dic53C2311yescharacteristic
80C2×#11719919—21no—
81C2×C22⋊Dic53—21no—
82C2×#11719921—21no—
83C2×#11719921—21no—
84C2×#11719921—21no—
85C2×#11719921—21no—
86C2×C4×Dic53—21no—
87#13133150—41no—
88#13133148—41no—
89#13133141—41no—
90#13133141—41no—
91#13133141—41no—
92#13133141—41no—
93#13133141C2×C414yescomplemented
94#13133141C2×C414yescomplemented
95#13133137—41no—
96#13133137—41no—
97C22⋊#88322—22no—
98C22⋊#88322C2×C414yescomplemented
99#13133128—41no—
100C4×#88322—41no—
101#13133124—21no—
102#13133124—21no—
103#13133124—21no—
104C22×Q8×C53—21no—
105C22×Q8×C53—22no—
106C22×Q8×C53—41no—
107C22×Q8×C53—41no—
108C22×Q8×C53—41no—
109C22×Q8×C53—41no—
110C22×Q8×C53C2×C414yescomplemented
111C22×Q8×C53C2311yescharacteristic
112C22×Q8×C53C2311yescharacteristic
113C23×C4×C53—21no—
114C23×C4×C53C2311yescharacteristic
115#117×C53—41no—
116#117×C53—41no—
117#117×C53—41no—
118#117×C53—41no—
119C2×C4⋊C4×C53D411yescharacteristic
120C2×C4⋊C4×C53D411yescharacteristic
121C2×C4⋊C4×C53C2311yescharacteristic
122C2×C4⋊C4×C53C2311yescharacteristic
123C2×C22⋊C4×C53—21no—
124C2×C22⋊C4×C53D411yescharacteristic
125C2×C22⋊C4×C53D411yescharacteristic
126C2×C42×C53—21no—
127C2×C42×C53C2311yescharacteristic
128C2×C42×C53C2311yescharacteristic
129#95×C53—21no—
130#95×C53—21no—
131#95×C53—21no—
132#95×C53—21no—
133#95×C53—21no—
134#95×C53—21no—
135#95×C53—21no—
136#95×C53—21no—
137C24×C53C2×D411yescharacteristic
138C23×D53—21no—
139C2×Q8×C53—24no—
140C2×Q8×C53—21no—
141C2×Q8×C53—21no—
142C2×Q8×C53—21no—
143C2×Q8×C53—21no—
144C2×Q8×C53—21no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53—21no—
148C2×Q8×C53—21no—
149C2×Q8×C53—21no—
150C2×Q8×C53—44no—
151C2×Q8×C53—44no—
152C2×Q8×C53—42no—
153C2×Q8×C53—42no—
154C2×Q8×C53—44no—
155C2×Q8×C53—44no—
156C2×Q8×C53C22×C412yes—
157C2×Q8×C53C22×C412yes—
158C22×C4×C53—21no—
159C22×C4×C53—21no—
160C22×C4×C53—21no—
161C22×C4×C53—21no—
162C22×C4×C53—24no—
163C22×C4×C53—21no—
164C22×C4×C53—21no—
165C22×C4×C53—21no—
166C22×C4×C53—21no—
167C22×C4×C53—42no—
168C22×C4×C53—42no—
169C22×C4×C53C22×C412yes—
170C22×C4×C53C2×D411yescharacteristic
171C22×C4×C53C2×D411yescharacteristic
172C22×C4×C53C2×D411yescharacteristic
173C22×C4×C53C2×D411yescharacteristic
174C22×C4×C53C2×D411yescharacteristic
175C22×C4×C53#4112yes—
176C22×C4×C53C2411yescharacteristic
177C2×C22⋊D53—24no—
178C2×C22⋊D53—81no—
179C2×C22⋊D53—81no—
180C22×Dic53—21no—
181C22×Dic53—21no—
182C22×Dic53—21no—
183C2×D212—21no—
184C2×D212—21no—
185C2×D212—21no—
186C2×D212—21no—
187C2×D212—21no—
188C2×D212C22×C412yes—
189C2×C4×D53—42no—
190C2×C4×D53—81no—
191C2×C4×D53—81no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—21no—
194C4⋊C4×C53—21no—
195C4⋊C4×C53—21no—
196C4⋊C4×C53—41no—
197C4⋊C4×C53—41no—
198C22⋊C4×C53—41no—
199C22⋊C4×C53—41no—
200C22⋊C4×C53—42no—
201C42×C53—21no—
202C42×C53—21no—
203C42×C53—21no—
204C42×C53—21no—
205C42×C53—42no—
206C22⋊Dic53—81no—
207#11719924—44no—
208#11719924—44no—
209#11719921—24no—
210#11719921—42no—
211#11719921—81no—
212#11719921—81no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—21no—
216C4⋊Dic53—21no—
217C4⋊Dic53—21no—
218C4⋊Dic53C22×C412yes—
219#11719919—81no—
220C4×Dic53—81no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322C22×C412yes—
232C2×#88322C22×C412yes—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53C4×D412yes—
240C23×C53C22×D411yescharacteristic
241C22×D53—22no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C22×D53—41no—
248Q8×C53—22no—
249Q8×C53—22no—
250Q8×C53—22no—
251Q8×C53—22no—
252Q8×C53—48no—
253Q8×C53—41no—
254Q8×C53—41no—
255Q8×C53—41no—
256Q8×C53—41no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—22no—
263C2×C4×C53—22no—
264C2×C4×C53—22no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
270C2×C4×C53—21no—
271C2×C4×C53—21no—
272C2×C4×C53—21no—
273C2×C4×C53—21no—
274C2×C4×C53—21no—
275C2×C4×C53—21no—
276C2×C4×C53—21no—
277C2×C4×C53—48no—
278C2×C4×C53—41no—
279C2×C4×C53—41no—
280C2×C4×C53—41no—
281C2×C4×C53—41no—
282C2×C4×C53—41no—
283C2×C4×C53—41no—
284C2×C4×C53—41no—
285C2×C4×C53—41no—
286C2×C4×C53—41no—
287C2×C4×C53—41no—
288C2×C4×C53C4×D412yes—
289C2×C4×C53C23×C411yescharacteristic
290C2×C4×C53C2×#4111yescharacteristic
291C2×C4×C53H(5,𝔽2)11yescharacteristic
292C2×C4×C53H(5,𝔽2)11yescharacteristic
293C2×C4×C53H(5,𝔽2)11yescharacteristic
294C2×C4×C53H(5,𝔽2)11yescharacteristic
295C22⋊D53—84no—
296C2×Dic53—22no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53—41no—
303C2×Dic53—41no—
304C2×Dic53—41no—
305D212—22no—
306D212—22no—
307D212—41no—
308D212—41no—
309C4×D53—84no—
310#88322—22no—
311#88322—22no—
312#88322—41no—
313#88322—41no—
314#22058—531nomaximal, Sylow
315C22×C53—22no—
316C22×C53—22no—
317C22×C53—22no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53C2×C4×D411yescharacteristic
323C22×C53#53411yescharacteristic
324C22×C53#53511yescharacteristic
325C22×C53#57711yescharacteristic
326C22×C53#57711yescharacteristic
327C22×C53#57711yescharacteristic
328C22×C53#57811yescharacteristic
329C2×D53—42no—
330C2×D53—42no—
331C2×D53—42no—
332C2×D53—81no—
333C2×D53—81no—
334C2×D53—81no—
335C2×D53—81no—
336C4×C53—22no—
337C4×C53—42no—
338C4×C53—42no—
339C4×C53—41no—
340C4×C53—41no—
341C4×C53—41no—
342C4×C53—41no—
343C4×C53—81no—
344C4×C53—81no—
345C4×C53#51811yescharacteristic
346C4×C53#51811yescharacteristic
347C4×C53#53811yescharacteristic
348C4×C53#53811yescharacteristic
349Dic53—42no—
350Dic53—81no—
351Dic53—81no—
352C2×#448—531no—
353#2324—531no—
354#2310D5311yescharacteristic, complemented
355#1973—531no—
356#1968—531no—
357#1935—531no—
358#1933—531no—
359#1928—531no—
360#1927—531no—
361#1877—531no—
362#1877—531no—
363#1875—531no—
364#1854—531no—
365#1787—531no—
366#1750—531no—
367C2×C53—42no—
368C2×C53#232111yescharacteristic
369C2×C53#294711yescharacteristic
370C2×C53#294911yescharacteristic
371C2×C53#320011yescharacteristic
372C2×C53#320111yescharacteristic
373C2×C53#322111yescharacteristic
374C2×C53#322511yescharacteristic
375D53—82no—
376C23×Q8C2×D5311yescharacteristic
377C22×SD16—531no—
378C22×SD16—531no—
379C2×#121—531no—
380C2×C4×D4—531no—
381C2×#117C2×D5311yescharacteristic
382C2×#117C2×D5311yescharacteristic
383#448—538no—
384C2×#107—531no—
385C2×#106—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#103—531no—
389C2×#103—531no—
390C2×#103—531no—
391C2×#103—531no—
392C2×#102—531no—
393C2×#102—531no—
394C2×C22⋊C8—531no—
395C2×C22⋊C8—531no—
396C2×#97—531no—
397C2×C4×C8—531no—
398#391—21no—
399#391—21no—
400#391C2×D5311yescharacteristic
401#391C2×D5311yescharacteristic
402#391C2×D5311yescharacteristic
403#391C2×D5311yescharacteristic
404#390—531no—
405#390—1061no—
406#389—531no—
407#388—1061no—
408#386—1061no—
409#385—1061no—
410#381—21no—
411#381—21no—
412#380—531no—
413C4×C4⋊C4—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418#336—531no—
419#336—531no—
420C53#2205811yescharacteristic, complemented, Sylow
421C22×Q8—22no—
422C22×Q8—21no—
423C22×Q8—41no—
424C22×Q8—41no—
425C22×Q8—41no—
426C22×Q8—41no—
427C22×Q8C4×D5314yescomplemented
428C22×Q8C22×D5311yescharacteristic
429C22×Q8C22×D5311yescharacteristic
430C22×D4—531no—
431C22×D4—1061no—
432C23×C4—21no—
433C23×C4—1061no—
434C23×C4C22×D5311yescharacteristic
435C2×SD16—534no—
436C2×SD16—534no—
437C2×SD16—2121no—
438C2×SD16—2121no—
439C2×SD16—2121no—
440C2×SD16—2121no—
441C22×C8—531no—
442C22×C8—531no—
443C22×C8—531no—
444C22×C8—531no—
445#121—534no—
446#121—1062no—
447C4×D4—2121no—
448C4×D4—2121no—
449#117—41no—
450#117—41no—
451#117—41no—
452#117—41no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4C22⋊D5311yescharacteristic
458C2×C4⋊C4C22⋊D5311yescharacteristic
459C2×C4⋊C4C22×D5311yescharacteristic
460C2×C4⋊C4C22×D5311yescharacteristic
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⋊C4C22⋊D5311yescharacteristic
468C2×C22⋊C4C22⋊D5311yescharacteristic
469C2×C42—21no—
470C2×C42—1061no—
471C2×C42C22×D5311yescharacteristic
472C2×C42C22×D5311yescharacteristic
473#107—2121no—
474#106—2121no—
475#103—534no—
476#103—534no—
477#103—2121no—
478#103—2121no—
479#103—2121no—
480#103—2121no—
481#102—2121no—
482#102—2121no—
483C22⋊C8—534no—
484C22⋊C8—1062no—
485#97—2121no—
486C4×C8—2121no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—1061no—
496#95—1061no—
497#95—1061no—
498C24—1061no—
499C24C2×C22⋊D5311yescharacteristic
500C2×Q8—24no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8C2×C4×D5312yes—
518C2×Q8C2×C4×D5312yes—
519C2×D4—532no—
520C2×D4—1064no—
521C2×D4—1061no—
522C2×D4—1061no—
523C2×D4—1061no—
524C2×D4—1061no—
525C2×D4—1061no—
526C2×D4—4241no—
527C2×D4—4241no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—24no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—1061no—
540C22×C4—1061no—
541C22×C4—1061no—
542C22×C4—4241no—
543C22×C4—4241no—
544C22×C4—2122no—
545C22×C4C2×C4×D5312yes—
546C22×C4#1171994512yes—
547C22×C4C2×C22⋊D5311yescharacteristic
548C22×C4C2×C22⋊D5311yescharacteristic
549C22×C4C2×C22⋊D5311yescharacteristic
550C22×C4C2×C22⋊D5311yescharacteristic
551C22×C4C2×C22⋊D5311yescharacteristic
552C22×C4C23×D5311yescharacteristic
553SD16—2124no—
554SD16—2124no—
555C2×C8—532no—
556C2×C8—532no—
557C2×C8—1061no—
558C2×C8—1061no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8—1061no—
562C2×C8—1061no—
563C2×C8—1061no—
564C2×C8—1061no—
565C2×C8—1061no—
566C2×C8—1061no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—41no—
572C4⋊C4—41no—
573C4⋊C4—532no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—1061no—
577C4⋊C4—1061no—
578C4⋊C4—1061no—
579C4⋊C4—4241no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—42no—
583C22⋊C4—1064no—
584C22⋊C4—4241no—
585C22⋊C4—4241no—
586C22⋊C4—4241no—
587C22⋊C4—2122no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—42no—
593C42—4241no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—1062no—
601C23—2121no—
602C23—2121no—
603C23—2121no—
604C23—2121no—
605C23—2121no—
606C23—2121no—
607C23C4×C22⋊D5312yes—
608C23C22×C22⋊D5311yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—48no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618D4—1062no—
619D4—1062no—
620D4—4244no—
621D4—2121no—
622D4—2121no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—48no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—1062no—
655C2×C4—4244no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2121no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4—2121no—
664C2×C4C4×C22⋊D5312yes—
665C2×C4C22×C4×D5311yescharacteristic
666C2×C4C2×#1171994511yescharacteristic
667C2×C4#1313326211yescharacteristic
668C2×C4#1313326211yescharacteristic
669C2×C4#1313326211yescharacteristic
670C2×C4#1313326211yescharacteristic
671C8—1062no—
672C8—1062no—
673C8—2121no—
674C8—2121no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—4241no—
683C22—4241no—
684C22—4241no—
685C22—4241no—
686C22—2122no—
687C22—2122no—
688C22—2122no—
689C22C2×C4×C22⋊D5311yescharacteristic
690C22#1681118211yescharacteristic
691C22#1681119011yescharacteristic
692C22#1681143111yescharacteristic
693C22#1681143111yescharacteristic
694C22#1681143111yescharacteristic
695C22#1681143811yescharacteristic
696C4—22no—
697C4—42no—
698C4—42no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—4241no—
706C4—4241no—
707C4—2122no—
708C4#1681109611yescharacteristic
709C4#1681109611yescharacteristic
710C4#1681121111yescharacteristic
711C4#1681121111yescharacteristic
712C2—42no—
713C2—4242no—
714C2#2027737311yescharacteristic
715C2#2028355811yescharacteristic
716C2#2028357411yescharacteristic
717C2#2028558211yescharacteristic
718C2#2028559711yescharacteristic
719C2#2028577611yescharacteristic
720C2#2028582411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2310C2
socleC23×C53C22×D4
prime radicalC2×#13133191C22
cosocleC22×C4×C53C24
hypercenter#2310D53
hypocenterC53#22058
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2310

Complements

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

NH ≅ G/Ntype
3. #20275599C2semidirect
4. #20275572C2semidirect
5. #20275408C2semidirect
6. #20275394C2semidirect
7. #20275353C2semidirect
8. #20275346C2semidirect
9. #20275052C2semidirect
10. #20275052C2semidirect
12. #20274914C2semidirect
13. #20274650C2semidirect
14. #20274481C2semidirect
15. C53×#2310C2semidirect
20. #16810762C4semidirect
93. #13133141C2×C4semidirect
94. #13133141C2×C4semidirect
98. C22⋊#88322C2×C4semidirect
110. C22×Q8×C53C2×C4semidirect
354. #2310D53semidirect
420. C53#22058semidirect
427. C22×Q8C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168107622
#202774082
#202755992
#202755722
#202754082
#202753942
#202753532
#202753462
#202750522
#202750372
#202749142
#202746502
#202744812
C53×#23102
#2205853