Finite Group Databasebeta

← #27395467

Subgroups — #27395467

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
1#20277410C211yesmaximal, characteristic
2#20277301C211yesmaximal, characteristic, complemented
3#20275598C211yesmaximal, characteristic, complemented
4#20275571C211yesmaximal, characteristic, complemented
5#20275407C211yesmaximal, characteristic, complemented
6#20275393C211yesmaximal, characteristic, complemented
7#20275358C211yesmaximal, characteristic, complemented
8#20275351C211yesmaximal, characteristic, complemented
9#20275051C211yesmaximal, characteristic, complemented
10#20275051C211yesmaximal, characteristic, complemented
11#20275038C211yesmaximal, characteristic
12#20274916C211yesmaximal, characteristic, complemented
13#20274650C211yesmaximal, characteristic, complemented
14#20274483C211yesmaximal, characteristic, complemented
15C2×C53×#448C211yesmaximal, characteristic
16C2×D4×Dic53C2211yescharacteristic
17C2×#13133176C2211yescharacteristic
18C2×#13133176C2211yescharacteristic
19C2×#13133151C2211yescharacteristic
20C2×#13133149C2211yescharacteristic
21C2×#13133141C2211yescharacteristic
22C2×#13133141C2211yescharacteristic
23C2×#13133141C2211yescharacteristic
24C2×#13133141C2211yescharacteristic
25C2×#13133138C2211yescharacteristic
26C2×#13133138C2211yescharacteristic
27C2×C22⋊#88322C2211yescharacteristic
28C2×#13133127C2211yescharacteristic
29C2×C8×Dic53C2211yescharacteristic
30#16810530—21no—
31#16810530—21no—
32#16810530C2211yescharacteristic
33#16810530C2211yescharacteristic
34#16810530C2211yescharacteristic
35#16810530C2211yescharacteristic
36#16810526—21no—
37#16810526C2211yescharacteristic
38#16810522C2211yescharacteristic
39#16810516—21no—
40#16810503—21no—
41#16810498—21no—
42#16810486—21no—
43#16810486—21no—
44#16810483C2211yescharacteristic
45C4⋊C4×Dic53C2211yescharacteristic
46#16810386C2211yescharacteristic
47#16810386C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50#16810377C2211yescharacteristic
51#16810377C2211yescharacteristic
52C23×Q8×C53C2211yescharacteristic
53C22×SD16×C53C2211yescharacteristic
54C22×SD16×C53C2211yescharacteristic
55C2×#121×C53C2211yescharacteristic
56C53×#448C418yescomplemented
57C2×#103×C53C2211yescharacteristic
58C2×#103×C53C2211yescharacteristic
59C2×C22⋊C8×C53C2211yescharacteristic
60C23×Dic53—21no—
61C22×#88322C2311yescharacteristic
62C22×#88322C2311yescharacteristic
63D4×Dic53—41no—
64D4×Dic53—41no—
65#13133176—41no—
66#13133176—41no—
67#13133176—41no—
68#13133176—41no—
69C2×C4⋊Dic53—21no—
70C2×C4⋊Dic53D411yescharacteristic
71C2×C4⋊Dic53D411yescharacteristic
72C2×C4⋊Dic53C2311yescharacteristic
73C2×C4⋊Dic53C2311yescharacteristic
74C2×C4⋊Dic53C2311yescharacteristic
75C2×C4⋊Dic53C2311yescharacteristic
76C2×C22⋊Dic53—21no—
77C2×C22⋊Dic53—21no—
78C2×C22⋊Dic53—21no—
79C2×C22⋊Dic53—21no—
80C2×C22⋊Dic53—21no—
81C2×C22⋊Dic53D411yescharacteristic
82C2×C22⋊Dic53D411yescharacteristic
83C2×C4×Dic53—21no—
84C2×C4×Dic53—21no—
85C2×C4×Dic53C2311yescharacteristic
86C2×C4×Dic53C2311yescharacteristic
87#13133151—41no—
88#13133149—41no—
89#13133141—41no—
90#13133141—41no—
91#13133141—41no—
92#13133141—41no—
93#13133138—41no—
94#13133138—41no—
95C22⋊#88322—22no—
96#13133127—41no—
97C8×Dic53—41no—
98#13133124—21no—
99#13133124—21no—
100#13133124—21no—
101#13133124—21no—
102#13133124—21no—
103#13133124—21no—
104#13133124—21no—
105#13133124—21no—
106#13133124—21no—
107#13133124—21no—
108#13133124—21no—
109C22×Q8×C53—21no—
110C22×Q8×C53—22no—
111C22×Q8×C53—41no—
112C22×Q8×C53—41no—
113C22×Q8×C53—41no—
114C22×Q8×C53—41no—
115C22×Q8×C53C2×C414yescomplemented
116C22×Q8×C53C2311yescharacteristic
117C22×Q8×C53C2311yescharacteristic
118C22×D4×C53—21no—
119C22×D4×C53C2311yescharacteristic
120C23×C4×C53—21no—
121C23×C4×C53C2311yescharacteristic
122C2×SD16×C53—41no—
123C2×SD16×C53—41no—
124C2×SD16×C53—41no—
125C2×SD16×C53—41no—
126C2×SD16×C53C2×C414yes—
127C2×SD16×C53C2×C414yes—
128C22×C8×C53C2311yescharacteristic
129C22×C8×C53C2311yescharacteristic
130#121×C53—22no—
131#121×C53C2×C414yes—
132C2×C4⋊C4×C53C2311yescharacteristic
133C2×C22⋊C4×C53—21no—
134#103×C53C2×C414yescomplemented
135#103×C53C2×C414yescomplemented
136C22⋊C8×C53C2×C414yescomplemented
137C24×C53—21no—
138C24×C53C2×D411yescharacteristic
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—
158C2×D4×C53—24no—
159C2×D4×C53—21no—
160C2×D4×C53—21no—
161C2×D4×C53—21no—
162C2×D4×C53—21no—
163C2×D4×C53—21no—
164C2×D4×C53—81no—
165C2×D4×C53—81no—
166C2×D4×C53C22×C412yes—
167C22×C4×C53—21no—
168C22×C4×C53—21no—
169C22×C4×C53—21no—
170C22×C4×C53—21no—
171C22×C4×C53—24no—
172C22×C4×C53—21no—
173C22×C4×C53—21no—
174C22×C4×C53—21no—
175C22×C4×C53—42no—
176C22×C4×C53—42no—
177C22×C4×C53C22×C412yes—
178C22×C4×C53C2×D411yescharacteristic
179C22×C4×C53#4112yes—
180C22×C4×C53C2411yescharacteristic
181C22×Dic53—21no—
182C22×Dic53—21no—
183C22×Dic53—21no—
184C22×Dic53—21no—
185C22×Dic53—42no—
186C22×Dic53—81no—
187C22×Dic53—81no—
188C22×Dic53C2×D411yescharacteristic
189C22×Dic53C2×D411yescharacteristic
190C22×Dic53C2×D411yescharacteristic
191C22×Dic53C2×D411yescharacteristic
192SD16×C53—44no—
193SD16×C53—44no—
194C2×C8×C53—21no—
195C2×C8×C53—21no—
196C2×C8×C53—21no—
197C2×C8×C53—21no—
198C2×C8×C53C22×C412yes—
199C2×C8×C53C22×C412yes—
200C4⋊C4×C53—21no—
201C4⋊C4×C53C22×C412yes—
202C22⋊C4×C53—24no—
203C22⋊Dic53—41no—
204C22⋊Dic53—41no—
205C22⋊Dic53—42no—
206C22⋊Dic53—42no—
207C22⋊Dic53—81no—
208C22⋊Dic53—81no—
209C22⋊Dic53—81no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—21no—
216C4⋊Dic53—21no—
217C4⋊Dic53—21no—
218C4⋊Dic53—41no—
219C4⋊Dic53—41no—
220C4⋊Dic53—81no—
221C4×Dic53—21no—
222C4×Dic53—21no—
223C4×Dic53—21no—
224C4×Dic53—21no—
225C4×Dic53—42no—
226C4×Dic53—81no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322—21no—
232C2×#88322—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—22no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53—41no—
245C23×C53—41no—
246C23×C53C4×D412yes—
247C23×C53C22×D411yescharacteristic
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—
257D4×C53—22no—
258D4×C53—22no—
259D4×C53—41no—
260D4×C53—41no—
261D4×C53—84no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—22no—
265C2×C4×C53—22no—
266C2×C4×C53—22no—
267C2×C4×C53—22no—
268C2×C4×C53—22no—
269C2×C4×C53—22no—
270C2×C4×C53—22no—
271C2×C4×C53—48no—
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×C53C4×D412yes—
279C2×C4×C53C23×C411yescharacteristic
280C2×C4×C53C2×#4111yescharacteristic
281C2×C4×C53H(5,𝔽2)11yescharacteristic
282C2×C4×C53H(5,𝔽2)11yescharacteristic
283C2×C4×C53H(5,𝔽2)11yescharacteristic
284C2×C4×C53H(5,𝔽2)11yescharacteristic
285C2×Dic53—21no—
286C2×Dic53—21no—
287C2×Dic53—21no—
288C2×Dic53—21no—
289C2×Dic53—21no—
290C2×Dic53—21no—
291C2×Dic53—21no—
292C2×Dic53—21no—
293C2×Dic53—21no—
294C2×Dic53—21no—
295C2×Dic53—21no—
296C2×Dic53—21no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53—41no—
303C2×Dic53—41no—
304C2×Dic53—41no—
305C2×Dic53—41no—
306C2×Dic53—41no—
307C2×Dic53—41no—
308C2×Dic53—41no—
309C2×Dic53—84no—
310C8×C53—22no—
311C8×C53—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×C53—42no—
323C22×C53—42no—
324C22×C53—42no—
325C22×C53—81no—
326C22×C53—81no—
327C22×C53—81no—
328C22×C53—81no—
329C22×C53C2×C4×D411yescharacteristic
330C22×C53#53411yescharacteristic
331C22×C53#53511yescharacteristic
332C22×C53#57711yescharacteristic
333C22×C53#57711yescharacteristic
334C22×C53#57711yescharacteristic
335C22×C53#57811yescharacteristic
336C4×C53—22no—
337C4×C53—42no—
338C4×C53—42no—
339C4×C53—42no—
340C4×C53#51811yescharacteristic
341C4×C53#51811yescharacteristic
342C4×C53#53811yescharacteristic
343C4×C53#53811yescharacteristic
344Dic53—41no—
345Dic53—41no—
346Dic53—41no—
347Dic53—41no—
348Dic53—81no—
349Dic53—81no—
350Dic53—81no—
351Dic53—81no—
352C2×#448D5311yescharacteristic
353#2324—531no—
354#2310—531no—
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—82no—
369C2×C53#232111yescharacteristic
370C2×C53#294711yescharacteristic
371C2×C53#294911yescharacteristic
372C2×C53#320011yescharacteristic
373C2×C53#320111yescharacteristic
374C2×C53#322111yescharacteristic
375C2×C53#322511yescharacteristic
376C23×Q8C2×D5311yescharacteristic
377C22×SD16C2×D5311yescharacteristic
378C22×SD16C2×D5311yescharacteristic
379C2×#121C2×D5311yescharacteristic
380C2×C4×D4—531no—
381C2×#117—531no—
382C2×#117—531no—
383#448Dic5318yescomplemented
384C2×#107—531no—
385C2×#106—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#103—531no—
389C2×#103—531no—
390C2×#103C2×D5311yescharacteristic
391C2×#103C2×D5311yescharacteristic
392C2×#102—531no—
393C2×#102—531no—
394C2×C22⋊C8—531no—
395C2×C22⋊C8C2×D5311yescharacteristic
396C2×#97—531no—
397C2×C4×C8—531no—
398#391—531no—
399#391—531no—
400#391—531no—
401#391—531no—
402#391—1061no—
403#391—1061no—
404#390—531no—
405#390—1061no—
406#389—531no—
407#388—1061no—
408#386—1061no—
409#385—1061no—
410#381—1061no—
411#381—1061no—
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—21no—
422C22×Q8—22no—
423C22×Q8—41no—
424C22×Q8—41no—
425C22×Q8—41no—
426C22×Q8—41no—
427C22×Q8C2×Dic5314yescomplemented
428C22×Q8C22×D5311yescharacteristic
429C22×Q8C22×D5311yescharacteristic
430C22×D4—21no—
431C22×D4C22×D5311yescharacteristic
432C23×C4—21no—
433C23×C4—1061no—
434C23×C4C22×D5311yescharacteristic
435C2×SD16—41no—
436C2×SD16—41no—
437C2×SD16—41no—
438C2×SD16—41no—
439C2×SD16C2×Dic5314yes—
440C2×SD16C2×Dic5314yes—
441C22×C8—531no—
442C22×C8—531no—
443C22×C8C22×D5311yescharacteristic
444C22×C8C22×D5311yescharacteristic
445#121—22no—
446#121C2×Dic5314yes—
447C4×D4—2121no—
448C4×D4—2121no—
449#117—2121no—
450#117—2121no—
451#117—2121no—
452#117—2121no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—531no—
458C2×C4⋊C4—531no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4C22×D5311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—531no—
463C2×C22⋊C4—531no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C42—531no—
470C2×C42—531no—
471C2×C42—1061no—
472C2×C42—1061no—
473#107—2121no—
474#106—2121no—
475#103—2121no—
476#103—2121no—
477#103—2121no—
478#103—2121no—
479#103C2×Dic5314yescomplemented
480#103C2×Dic5314yescomplemented
481#102—2121no—
482#102—2121no—
483C22⋊C8—1062no—
484C22⋊C8C2×Dic5314yescomplemented
485#97—2121no—
486C4×C8—2121no—
487#95—1061no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496#95—1061no—
497#95—1061no—
498C24—21no—
499C24D4×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×Q8C22×Dic5312yes—
518C2×Q8C22×Dic5312yes—
519C2×D4—24no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—81no—
526C2×D4—81no—
527C2×D4C22×Dic5312yes—
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—42no—
537C22×C4—42no—
538C22×C4—531no—
539C22×C4—531no—
540C22×C4—531no—
541C22×C4—531no—
542C22×C4—1061no—
543C22×C4—1061no—
544C22×C4—1061no—
545C22×C4—1061no—
546C22×C4—4241no—
547C22×C4—4241no—
548C22×C4—2122no—
549C22×C4D4×D5311yescharacteristic
550C22×C4#1171994712yes—
551C22×C4C22×Dic5312yes—
552C22×C4C23×D5311yescharacteristic
553SD16—44no—
554SD16—44no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8—1061no—
562C2×C8—1061no—
563C2×C8—1061no—
564C2×C8—1061no—
565C2×C8C22×Dic5312yes—
566C2×C8C22×Dic5312yes—
567C4⋊C4—21no—
568C4⋊C4—1061no—
569C4⋊C4—1061no—
570C4⋊C4—1061no—
571C4⋊C4—1061no—
572C4⋊C4—1061no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—4241no—
577C4⋊C4—2121no—
578C4⋊C4—2121no—
579C4⋊C4C22×Dic5312yes—
580C22⋊C4—24no—
581C22⋊C4—4241no—
582C22⋊C4—4241no—
583C22⋊C4—4241no—
584C22⋊C4—2121no—
585C22⋊C4—2121no—
586C22⋊C4—2122no—
587C22⋊C4—2122no—
588C42—1061no—
589C42—1061no—
590C42—1061no—
591C42—1061no—
592C42—4241no—
593C42—2122no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23D4×Dic5312yes—
608C23C2×D4×D5311yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—48no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618D4—22no—
619D4—22no—
620D4—41no—
621D4—41no—
622D4—84no—
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—22no—
632C2×C4—48no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—1061no—
640C2×C4—1061no—
641C2×C4—1061no—
642C2×C4—1061no—
643C2×C4—1061no—
644C2×C4—1061no—
645C2×C4—1061no—
646C2×C4—1061no—
647C2×C4—1061no—
648C2×C4—1061no—
649C2×C4—1061no—
650C2×C4—1061no—
651C2×C4—4244no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
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×C4D4×Dic5312yes—
665C2×C4C23×Dic5311yescharacteristic
666C2×C4C2×#1171994711yescharacteristic
667C2×C4#1313326211yescharacteristic
668C2×C4#1313326211yescharacteristic
669C2×C4#1313326211yescharacteristic
670C2×C4#1313326211yescharacteristic
671C8—22no—
672C8—22no—
673C8—2121no—
674C8—2121no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×D4×Dic5311yescharacteristic
690C22#1681118311yescharacteristic
691C22#1681118811yescharacteristic
692C22#1681142911yescharacteristic
693C22#1681142911yescharacteristic
694C22#1681143211yescharacteristic
695C22#1681143911yescharacteristic
696C4—22no—
697C4—42no—
698C4—42no—
699C4—42no—
700C4—4241no—
701C4—4241no—
702C4—4241no—
703C4—4241no—
704C4—2121no—
705C4—2121no—
706C4—2121no—
707C4—2121no—
708C4#1681109811yescharacteristic
709C4#1681109811yescharacteristic
710C4#1681120811yescharacteristic
711C4#1681120811yescharacteristic
712C2—42no—
713C2—82no—
714C2#2027737611yescharacteristic
715C2#2028355911yescharacteristic
716C2#2028357511yescharacteristic
717C2#2028558511yescharacteristic
718C2#2028559311yescharacteristic
719C2#2028577211yescharacteristic
720C2#2028582211yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C53×#448C2
socleC23×C53C22×D4
prime radicalC2×#121×C53C22
cosocleC22×C4×C53C24
hypercenterC2×#448D53
hypocenterC53#22058
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

Complements

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

NH ≅ G/Ntype
2. #20277301C2semidirect
3. #20275598C2semidirect
4. #20275571C2semidirect
5. #20275407C2semidirect
6. #20275393C2semidirect
7. #20275358C2semidirect
8. #20275351C2semidirect
9. #20275051C2semidirect
10. #20275051C2semidirect
12. #20274916C2semidirect
13. #20274650C2semidirect
14. #20274483C2semidirect
56. C53×#448C4semidirect
115. C22×Q8×C53C2×C4semidirect
134. #103×C53C2×C4semidirect
135. #103×C53C2×C4semidirect
136. C22⋊C8×C53C2×C4semidirect
383. #448Dic53semidirect
420. C53#22058semidirect
427. C22×Q8C2×Dic53semidirect
479. #103C2×Dic53semidirect
480. #103C2×Dic53semidirect
484. C22⋊C8C2×Dic53semidirect

Maximal subgroups

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

subgroupindex
#202774102
#202773012
#202755982
#202755712
#202754072
#202753932
#202753582
#202753512
#202750512
#202750382
#202749162
#202746502
#202744832
C2×C53×#4482
#2205853