Finite Group Databasebeta

← #27449552

Subgroups — #27449552

Order 13568.

956 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×#16810941C211yesmaximal, characteristic, complemented
2C2×C4×#11719922C211yesmaximal, characteristic, complemented
3#20278207C211yesmaximal, characteristic, complemented
4#20276236C211yesmaximal, characteristic, complemented
5#20276025C211yesmaximal, characteristic, complemented
6#20275901C211yesmaximal, characteristic, complemented
7#20275711C211yesmaximal, characteristic
8#20275483C211yesmaximal, characteristic, complemented
9#20275440C211yesmaximal, characteristic, complemented
10#20275342C211yesmaximal, characteristic, complemented
11#20275323C211yesmaximal, characteristic, complemented
12#20274976C211yesmaximal, characteristic, complemented
13#20274961C211yesmaximal, characteristic, complemented
14#20274903C211yesmaximal, characteristic, complemented
15C53×#2361C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C2×#13133191C2211yescharacteristic
18C2×C4×D212C2211yescharacteristic
19#16810941—24no—
20C4×#11719922—24no—
21C2×#13133150C2211yescharacteristic
22C2×#13133150C2211yescharacteristic
23C2×#13133148C2211yescharacteristic
24C2×#13133148C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×C4⋊#88322C2211yescharacteristic
27C2×#13133138C2211yescharacteristic
28C2×#13133138C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32C2×#13133137C2211yescharacteristic
33C2×C22⋊#88322C2211yescharacteristic
34C2×C22⋊#88322C2211yescharacteristic
35C2×C4×#88322C2211yescharacteristic
36#16810552—21no—
37#16810538—21no—
38#16810525C2211yescharacteristic
39#16810521C2211yescharacteristic
40#16810499—21no—
41#16810489C2211yescharacteristic
42#16810485—21no—
43#16810483C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C2×#121×C53C2211yescharacteristic
51C2×C4×D4×C53—21no—
52C2×C4×D4×C53C2211yescharacteristic
53C22×C4⋊C4×C53C2211yescharacteristic
54C53×#390C2211yescharacteristic
55C53×#389C2211yescharacteristic
56C53×#388—21no—
57C53×#386—21no—
58C53×#385—21no—
59C4×C4⋊C4×C53C2211yescharacteristic
60C4×C22⋊C4×C53C2211yescharacteristic
61C22×D212C2311yescharacteristic
62C22×C22⋊D53—21no—
63C22×C4×D53—21no—
64C2×#11719922—22no—
65C2×#11719922—22no—
66C2×#11719922—22no—
67C22×#88322C2311yescharacteristic
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71#13133191—22no—
72#13133191—41no—
73C4×D212—22no—
74C4×D212—41no—
75C2×C4⋊Dic53C2311yescharacteristic
76C2×C4⋊Dic53C2311yescharacteristic
77C2×C4⋊Dic53C2311yescharacteristic
78C2×#11719919—21no—
79C2×C22⋊Dic53—21no—
80C2×#11719921—21no—
81C2×#11719921—21no—
82C2×#11719921—21no—
83C2×#11719921—21no—
84#13133150—22no—
85#13133150—41no—
86#13133148—22no—
87#13133148—22no—
88#13133148—22no—
89C4⋊#88322—22no—
90#13133138—22no—
91#13133138—22no—
92#13133138—41no—
93#13133137—22no—
94#13133137—22no—
95#13133137D414yescomplemented
96C22⋊#88322—22no—
97C22⋊#88322—22no—
98C4×#88322—22no—
99#13133124—21no—
100#13133124—21no—
101#13133124—21no—
102#13133124—21no—
103C22×D4×C53—21no—
104C22×D4×C53C2311yescharacteristic
105C23×C4×C53—21no—
106C23×C4×C53—21no—
107C23×C4×C53C2311yescharacteristic
108#121×C53—22no—
109#121×C53—22no—
110C4×D4×C53—22no—
111C4×D4×C53—41no—
112C4×D4×C53—44no—
113C2×C4⋊C4×C53—21no—
114C2×C4⋊C4×C53—21no—
115C2×C4⋊C4×C53—22no—
116C2×C4⋊C4×C53—41no—
117C2×C4⋊C4×C53C2311yescharacteristic
118C2×C4⋊C4×C53C2311yescharacteristic
119C2×C4⋊C4×C53C2311yescharacteristic
120C2×C22⋊C4×C53—21no—
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×C53—21no—
127C2×C42×C53C2311yescharacteristic
128C2×C42×C53C2311yescharacteristic
129#95×C53—21no—
130#95×C53—21no—
131#95×C53D411yescharacteristic
132#95×C53D411yescharacteristic
133C24×C53—21no—
134C24×C53C2×D411yescharacteristic
135C23×D53—21no—
136C2×D4×C53—24no—
137C2×D4×C53—21no—
138C2×D4×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53—42no—
143C2×D4×C53—42no—
144C2×D4×C53#4112yes—
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—21no—
153C22×C4×C53—21no—
154C22×C4×C53—42no—
155C22×C4×C53—42no—
156C22×C4×C53—42no—
157C22×C4×C53—42no—
158C22×C4×C53—81no—
159C22×C4×C53—81no—
160C22×C4×C53C2×D411yescharacteristic
161C22×C4×C53C2×D411yescharacteristic
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53C2×D411yescharacteristic
164C22×C4×C53C2×D411yescharacteristic
165C22×C4×C53C2411yescharacteristic
166C2×C22⋊D53—42no—
167C2×C22⋊D53—42no—
168C2×C22⋊D53—81no—
169C22×Dic53—21no—
170C22×Dic53—21no—
171C22×Dic53—21no—
172C2×D212—21no—
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212—21no—
177C2×D212C2×D412yes—
178C2×C4×D53—42no—
179C2×C4×D53—42no—
180C2×C4×D53—81no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—42no—
186C4⋊C4×C53—42no—
187C4⋊C4×C53C2×D412yes—
188C4⋊C4×C53#4112yes—
189C22⋊C4×C53—24no—
190C22⋊C4×C53—22no—
191C22⋊C4×C53—22no—
192C22⋊C4×C53—42no—
193C22⋊C4×C53—42no—
194C22⋊C4×C53—81no—
195C42×C53—21no—
196C42×C53—21no—
197C42×C53—21no—
198C42×C53—21no—
199C42×C53—42no—
200C22⋊Dic53—81no—
201#11719922—28no—
202#11719921—42no—
203#11719921—42no—
204#11719921—81no—
205#11719921—81no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212#11719919—81no—
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×#88322—21no—
222C2×#88322—21no—
223C2×#88322C2×D412yes—
224C2×#88322#4112yes—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—22no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53#13512yes—
239C23×C53C22×D411yescharacteristic
240C22×D53—22no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247D4×C53—22no—
248D4×C53—22no—
249D4×C53—48no—
250D4×C53—41no—
251D4×C53—41no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—22no—
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—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—41no—
278C2×C4×C53—41no—
279C2×C4×C53—84no—
280C2×C4×C53—84no—
281C2×C4×C53AGL(1,ℤ/8)12yes—
282C2×C4×C53C22×D411yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C53C2×#4111yescharacteristic
286C2×C4×C53H(5,𝔽2)11yescharacteristic
287C2×C4×C532−1+411yescharacteristic
288C22⋊D53—84no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298D212—22no—
299D212—22no—
300D212—41no—
301D212—41no—
302C4×D53—84no—
303#88322—22no—
304#88322—22no—
305#88322—41no—
306#88322—41no—
307#26547—531nomaximal, Sylow
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—42no—
316C22×C53—42no—
317C22×C53—42no—
318C22×C53—81no—
319C22×C53—81no—
320C22×C53—81no—
321C22×C53—81no—
322C22×C53#52511yescharacteristic
323C22×C53D4211yescharacteristic
324C22×C53#54711yescharacteristic
325C22×C53C2×#13511yescharacteristic
326C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
327C22×C53#57611yescharacteristic
328C22×C53#57711yescharacteristic
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—41no—
338C4×C53—41no—
339C4×C53—42no—
340C4×C53—41no—
341C4×C53—42no—
342C4×C53—41no—
343C4×C53—81no—
344C4×C53#52511yescharacteristic
345C4×C53#53911yescharacteristic
346C4×C53#54711yescharacteristic
347C4×C53#55911yescharacteristic
348Dic53—81no—
349Dic53—81no—
350Dic53—81no—
351C2×#481—531no—
352C2×C4×D8—531no—
353#2420—531no—
354#2361D5311yescharacteristic, complemented
355#2092—531no—
356#2054—531no—
357#2034—531no—
358#1999—531no—
359#1949—531no—
360#1941—531no—
361#1926—531no—
362#1923—531no—
363#1864—531no—
364#1862—531no—
365#1852—531no—
366C2×C53—42no—
367C2×C53—82no—
368C2×C53#245511yescharacteristic
369C2×C53#310511yescharacteristic
370C2×C53#311911yescharacteristic
371C2×C53#326411yescharacteristic
372C2×C53#328211yescharacteristic
373C2×C53#333911yescharacteristic
374C2×C53#335411yescharacteristic
375D53—82no—
376C22×D8—531no—
377C2×#121—531no—
378C2×#121C2×D5311yescharacteristic
379C2×C4×D4—21no—
380C2×C4×D4—531no—
381C2×C4×D4C2×D5311yescharacteristic
382C22×C4⋊C4C2×D5311yescharacteristic
383#481—1064no—
384C4×D8—1064no—
385C2×#107—531no—
386C2×#107—531no—
387C2×#106—531no—
388C2×#106—531no—
389C2×#106—531no—
390C2×C4⋊C8—531no—
391C2×#102—531no—
392C2×#102—531no—
393C2×#102—531no—
394C2×#102—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×C22⋊C8—531no—
398C2×C22⋊C8—531no—
399C2×C4×C8—531no—
400#397—1061no—
401#394—1061no—
402#390—531no—
403#390C2×D5311yescharacteristic
404#389—531no—
405#389C2×D5311yescharacteristic
406#388—21no—
407#386—21no—
408#386—1061no—
409#385—21no—
410#382—531no—
411#381—1061no—
412#380—531no—
413C4×C4⋊C4C2×D5311yescharacteristic
414C4×C22⋊C4C2×D5311yescharacteristic
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419#336—531no—
420#336—531no—
421C53#2654711yescharacteristic, complemented, Sylow
422C22×D4—21no—
423C22×D4—531no—
424C22×D4—1061no—
425C22×D4C22×D5311yescharacteristic
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—1061no—
429C23×C4C22×D5311yescharacteristic
430C2×D8—1062no—
431C2×D8—1062no—
432C2×D8—1062no—
433C22×C8—531no—
434C22×C8—531no—
435C22×C8—531no—
436C22×C8—531no—
437#121—22no—
438#121—22no—
439#121—1062no—
440#121—2121no—
441C4×D4—22no—
442C4×D4—41no—
443C4×D4—44no—
444C4×D4—1062no—
445C4×D4—2121no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—41no—
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×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4C22⋊D5311yescharacteristic
467C2×C22⋊C4C22⋊D5311yescharacteristic
468C2×C42—21no—
469C2×C42C22×D5311yescharacteristic
470C2×C42C22×D5311yescharacteristic
471#107—1062no—
472#107—2121no—
473#106—1062no—
474#106—1062no—
475#106—1062no—
476C4⋊C8—1062no—
477#102—534no—
478#102—1062no—
479#102—1062no—
480#102—1062no—
481#102—1062no—
482#102—2121no—
483C22⋊C8—1062no—
484C22⋊C8—1062no—
485C4×C8—1062no—
486#95—21no—
487#95—21no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492#95C22⋊D5311yescharacteristic
493#95C22⋊D5311yescharacteristic
494C24—21no—
495C24—1061no—
496C24C2×C22⋊D5311yescharacteristic
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—532no—
506C2×D4—1061no—
507C2×D4—1061no—
508C2×D4—1061no—
509C2×D4—1061no—
510C2×D4—1061no—
511C2×D4—4241no—
512C2×D4—2122no—
513C2×D4—2122no—
514C2×D4#1171994512yes—
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—21no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—1061no—
531C22×C4—1061no—
532C22×C4—1061no—
533C22×C4—4241no—
534C22×C4—2122no—
535C22×C4—2122no—
536C22×C4C2×C22⋊D5311yescharacteristic
537C22×C4C2×C22⋊D5311yescharacteristic
538C22×C4C2×C22⋊D5311yescharacteristic
539C22×C4C2×C22⋊D5311yescharacteristic
540C22×C4C2×C22⋊D5311yescharacteristic
541C22×C4C23×D5311yescharacteristic
542D8—1068no—
543C2×C8—532no—
544C2×C8—532no—
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—
554C2×C8—1061no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—4241no—
568C4⋊C4#1171994512yes—
569C4⋊C4D4×D5312yes—
570C22⋊C4—24no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—4241no—
577C22⋊C4—4241no—
578C22⋊C4—4241no—
579C22⋊C4—2122no—
580C22⋊C4—2122no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—42no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—1062no—
600C23—2121no—
601C23—2121no—
602C23—2121no—
603C23—2121no—
604C23—2121no—
605C23—2121no—
606C23#1313323712yes—
607C23C22×C22⋊D5311yescharacteristic
608D4—22no—
609D4—22no—
610D4—48no—
611D4—41no—
612D4—41no—
613D4—1062no—
614D4—1062no—
615D4—4244no—
616D4—2121no—
617D4—2121no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
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—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—84no—
647C2×C4—4244no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4#1313324312yes—
658C2×C4C2×D4×D5311yescharacteristic
659C2×C4#41×D5311yescharacteristic
660C2×C4C2×#1171994511yescharacteristic
661C2×C4C2×#1171994511yescharacteristic
662C2×C4#1313326211yescharacteristic
663C2×C4#1313326411yescharacteristic
664C8—1062no—
665C8—1062no—
666C8—2121no—
667C8—2121no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—4241no—
683C22—4241no—
684C22—4241no—
685C22—4241no—
686C22—2122no—
687C22—2122no—
688C22—2122no—
689C22#1681113411yescharacteristic
690C22D4×C22⋊D5311yescharacteristic
691C22#1681127211yescharacteristic
692C22C2×#1313323711yescharacteristic
693C22C2×#1313324311yescharacteristic
694C22#1681142611yescharacteristic
695C22#1681143111yescharacteristic
696C4—22no—
697C4—41no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—42no—
703C4—81no—
704C4—4241no—
705C4—4241no—
706C4—4241no—
707C4#1681113211yescharacteristic
708C4#1681121511yescharacteristic
709C4#1681127811yescharacteristic
710C4#1681135611yescharacteristic
711C2—42no—
712C2—82no—
713C2—4242no—
714C2#2027859211yescharacteristic
715C2#2028476211yescharacteristic
716C2#2028491411yescharacteristic
717C2#2028619111yescharacteristic
718C2#2028642311yescharacteristic
719C2#2028711111yescharacteristic
720C2#2028731011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2361C2
socleC23×C53C22×D4
prime radical#20275711C2
hypercenter#2361D53
hypocenterC53#26547
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
1. C2×#16810941C2semidirect
2. C2×C4×#11719922C2semidirect
3. #20278207C2semidirect
4. #20276236C2semidirect
5. #20276025C2semidirect
6. #20275901C2semidirect
8. #20275483C2semidirect
9. #20275440C2semidirect
10. #20275342C2semidirect
11. #20275323C2semidirect
12. #20274976C2semidirect
13. #20274961C2semidirect
14. #20274903C2semidirect
15. C53×#2361C2semidirect
95. #13133137D4semidirect
354. #2361D53semidirect
421. C53#26547semidirect

Maximal subgroups

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

subgroupindex
C2×#168109412
C2×C4×#117199222
#202782072
#202762362
#202760252
#202759012
#202757112
#202754832
#202754402
#202753422
#202753232
#202749762
#202749612
#202749032
C53×#23612
#2654753