Finite Group Databasebeta

← #27429591

Subgroups — #27429591

Order 13568.

896 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810939C211yesmaximal, characteristic, complemented
2C2×#16810944C211yesmaximal, characteristic, complemented
3#20277644C211yesmaximal, characteristic, complemented
4#20276152C211yesmaximal, characteristic, complemented
5#20276151C211yesmaximal, characteristic, complemented
6#20275894C211yesmaximal, characteristic, complemented
7#20275894C211yesmaximal, characteristic, complemented
8#20275510C211yesmaximal, characteristic, complemented
9#20275481C211yesmaximal, characteristic, complemented
10#20274912C211yesmaximal, characteristic, complemented
11#20274902C211yesmaximal, characteristic, complemented
12#20274877C211yesmaximal, characteristic, complemented
13#20274725C211yesmaximal, characteristic, complemented
14C4×#13133138C211yesmaximal, characteristic, complemented
15C53×#2535C211yesmaximal, characteristic
16C2×#13133176C2211yescharacteristic
17C22×C4⋊Dic53C2211yescharacteristic
18#16810944—24no—
19#16810939—24no—
20C2×#13133150C2211yescharacteristic
21C2×#13133150C2211yescharacteristic
22C2×#13133150C2211yescharacteristic
23C2×#13133148C2211yescharacteristic
24C2×#13133148C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×C4⋊#88322C2211yescharacteristic
27C2×#13133138C2211yescharacteristic
28C2×#13133138C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×C22⋊#88322C2211yescharacteristic
32C2×C22⋊#88322C2211yescharacteristic
33C2×C22⋊#88322C2211yescharacteristic
34C2×C22⋊#88322C2211yescharacteristic
35C2×C4×#88322C2211yescharacteristic
36#16810516—21no—
37#16810509—21no—
38#16810503—21no—
39#16810489C2211yescharacteristic
40#16810483C2211yescharacteristic
41#16810483C2211yescharacteristic
42C4×C4⋊Dic53C2211yescharacteristic
43C22⋊C4×Dic53—21no—
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50C2×#121×C53C2211yescharacteristic
51C2×#121×C53C2211yescharacteristic
52C2×C4×D4×C53C2211yescharacteristic
53C2×C4×D4×C53C2211yescharacteristic
54C53×#397—21no—
55C53×#392—21no—
56C53×#386—21no—
57C53×#386—21no—
58C53×#382C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C53×#380C2211yescharacteristic
61C23×Dic53—21no—
62C22×#88322C2311yescharacteristic
63C22×#88322C2311yescharacteristic
64C22×#88322C2311yescharacteristic
65C22×#88322C2311yescharacteristic
66#13133176—22no—
67#13133176—41no—
68C2×C4⋊Dic53—21no—
69C2×C4⋊Dic53—22no—
70C2×C4⋊Dic53—41no—
71C2×C4⋊Dic53C2311yescharacteristic
72C2×C4⋊Dic53C2311yescharacteristic
73C2×C4⋊Dic53C2311yescharacteristic
74C2×C4⋊Dic53C2311yescharacteristic
75C2×C22⋊Dic53—21no—
76C2×C22⋊Dic53—21no—
77C2×C22⋊Dic53—21no—
78C2×C4×Dic53—21no—
79C2×C4×Dic53—21no—
80#13133150—22no—
81#13133150—41no—
82#13133150—41no—
83#13133148—22no—
84#13133148—22no—
85#13133148—22no—
86C4⋊#88322—22no—
87#13133138—22no—
88#13133138—22no—
89#13133138—22no—
90#13133138D414yescomplemented
91C22⋊#88322—22no—
92C22⋊#88322—22no—
93C22⋊#88322—22no—
94C22⋊#88322—22no—
95C4×#88322—22no—
96#13133124—21no—
97#13133124—21no—
98#13133124—21no—
99#13133124—21no—
100#13133124—21no—
101C22×D4×C53—21no—
102C22×D4×C53—21no—
103C22×D4×C53D411yescharacteristic
104C22×D4×C53C2311yescharacteristic
105C23×C4×C53—21no—
106C23×C4×C53C2311yescharacteristic
107C23×C4×C53C2311yescharacteristic
108#121×C53—22no—
109#121×C53—22no—
110#121×C53—41no—
111#121×C53—41no—
112C4×D4×C53—22no—
113C4×D4×C53—22no—
114C4×D4×C53—22no—
115C4×D4×C53—22no—
116C2×C4⋊C4×C53D411yescharacteristic
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×C53—21no—
125C2×C22⋊C4×C53D411yescharacteristic
126C2×C22⋊C4×C53D411yescharacteristic
127C2×C42×C53C2311yescharacteristic
128#95×C53—21no—
129#95×C53—21no—
130#95×C53—21no—
131#95×C53—21no—
132C24×C53—21no—
133C24×C53C2×D411yescharacteristic
134C24×C53C2×D411yescharacteristic
135C2×D4×C53—22no—
136C2×D4×C53—22no—
137C2×D4×C53—21no—
138C2×D4×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53—41no—
143C2×D4×C53—42no—
144C2×D4×C53—42no—
145C2×D4×C53—42no—
146C2×D4×C53—42no—
147C2×D4×C53—81no—
148C2×D4×C53—81no—
149C2×D4×C53C2×D412yes—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53—21no—
157C22×C4×C53—21no—
158C22×C4×C53—21no—
159C22×C4×C53—21no—
160C22×C4×C53—21no—
161C22×C4×C53—21no—
162C22×C4×C53—21no—
163C22×C4×C53—21no—
164C22×C4×C53—21no—
165C22×C4×C53—42no—
166C22×C4×C53—81no—
167C22×C4×C53—81no—
168C22×C4×C53C2×D411yescharacteristic
169C22×C4×C53C2×D411yescharacteristic
170C22×C4×C53C2×D411yescharacteristic
171C22×C4×C53C2×D411yescharacteristic
172C22×C4×C53C2411yescharacteristic
173C22×Dic53—21no—
174C22×Dic53—21no—
175C22×Dic53—21no—
176C22×Dic53—21no—
177C22×Dic53—42no—
178C22×Dic53—42no—
179C22×Dic53—81no—
180C4⋊C4×C53—22no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C22⋊C4×C53—22no—
188C22⋊C4×C53—22no—
189C22⋊C4×C53—42no—
190C22⋊C4×C53—42no—
191C22⋊C4×C53—42no—
192C22⋊C4×C53—81no—
193C22⋊C4×C53—81no—
194C42×C53#4112yes—
195C42×C53#4112yes—
196C22⋊Dic53—42no—
197C22⋊Dic53—42no—
198C22⋊Dic53—81no—
199C4⋊Dic53—21no—
200C4⋊Dic53—21no—
201C4⋊Dic53—21no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—42no—
207C4⋊Dic53C2×D412yes—
208C4×Dic53—42no—
209C4×Dic53—81no—
210C2×#88322—21no—
211C2×#88322—21no—
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×#88322C2×D412yes—
221C2×#88322#4112yes—
222C23×C53—21no—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—22no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53—41no—
239C23×C53—41no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53#13512yes—
243C23×C53C22×D411yescharacteristic
244D4×C53—22no—
245D4×C53—22no—
246D4×C53—44no—
247D4×C53—41no—
248D4×C53—41no—
249D4×C53—84no—
250D4×C53—84no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
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—41no—
278C2×C4×C53—84no—
279C2×C4×C53#12312yes—
280C2×C4×C53#12312yes—
281C2×C4×C53C22×D411yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C53H(5,𝔽2)11yescharacteristic
286C2×C4×C532−1+411yescharacteristic
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—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—84no—
300#88322—22no—
301#88322—22no—
302#88322—41no—
303#88322—41no—
304#25018—531nomaximal, Sylow
305C22×C53—22no—
306C22×C53—22no—
307C22×C53—22no—
308C22×C53—41no—
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—42no—
318C22×C53—41no—
319C22×C53—42no—
320C22×C53—42no—
321C22×C53—41no—
322C22×C53—81no—
323C22×C53—81no—
324C22×C53—81no—
325C22×C53—81no—
326C22×C53C2×#12311yescharacteristic
327C22×C53D4211yescharacteristic
328C22×C53#54711yescharacteristic
329C22×C53C2×#13511yescharacteristic
330C22×C53#57511yescharacteristic
331C22×C53#57611yescharacteristic
332C22×C53#57711yescharacteristic
333C4×C53—22no—
334C4×C53—22no—
335C4×C53—41no—
336C4×C53—41no—
337C4×C53—81no—
338C4×C53—81no—
339C4×C53—81no—
340C4×C53#53211yescharacteristic
341C4×C53#54211yescharacteristic
342C4×C53#54711yescharacteristic
343C4×C53#55311yescharacteristic
344Dic53—42no—
345Dic53—81no—
346Dic53—81no—
347Dic53—81no—
348C2×#481—531no—
349C2×#482—531no—
350#2535D5311yescharacteristic
351#2352—531no—
352#2077—531no—
353#2077—531no—
354#2033—531no—
355#2033—531no—
356#1954—531no—
357#1949—531no—
358#1854—531no—
359#1852—531no—
360#1846—531no—
361#1804—531no—
362C4×#102—531no—
363C2×C53—42no—
364C2×C53—81no—
365C2×C53—82no—
366C2×C53#242211yescharacteristic
367C2×C53#309111yescharacteristic
368C2×C53#309611yescharacteristic
369C2×C53#327311yescharacteristic
370C2×C53#328211yescharacteristic
371C2×C53#333911yescharacteristic
372C2×C53#335111yescharacteristic
373C2×#121C2×D5311yescharacteristic
374C2×#121C2×D5311yescharacteristic
375C2×C4×D4C2×D5311yescharacteristic
376C2×C4×D4C2×D5311yescharacteristic
377C2×#117—531no—
378C22×C4⋊C4—531no—
379#482—1064no—
380#481—1064no—
381C2×#107—531no—
382C2×#107—531no—
383C2×#107—531no—
384C2×#106—531no—
385C2×#106—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×C22⋊C8—531no—
395C2×C22⋊C8—531no—
396C2×C4×C8—531no—
397#397—21no—
398#392—21no—
399#388—1061no—
400#387—1061no—
401#386—21no—
402#386—21no—
403#386—1061no—
404#382—531no—
405#382C2×D5311yescharacteristic
406#380—531no—
407#380—531no—
408#380C2×D5311yescharacteristic
409#380C2×D5311yescharacteristic
410C4×C4⋊C4—531no—
411C4×C22⋊C4—1061no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418C53#2501811yescharacteristic, complemented, Sylow
419C22×D4—21no—
420C22×D4—21no—
421C22×D4C22⋊D5311yescharacteristic
422C22×D4C22×D5311yescharacteristic
423C23×C4—21no—
424C23×C4—1061no—
425C23×C4C22×D5311yescharacteristic
426C23×C4C22×D5311yescharacteristic
427C22×C8—531no—
428C22×C8—531no—
429C22×C8—531no—
430C22×C8—531no—
431#121—22no—
432#121—22no—
433#121—41no—
434#121—41no—
435C4×D4—22no—
436C4×D4—22no—
437C4×D4—22no—
438C4×D4—22no—
439#117—1062no—
440#117—2121no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—531no—
443C2×C4⋊C4—531no—
444C2×C4⋊C4—531no—
445C2×C4⋊C4—1062no—
446C2×C4⋊C4—1061no—
447C2×C4⋊C4—2121no—
448C2×C4⋊C4C22⋊D5311yescharacteristic
449C2×C4⋊C4C22×D5311yescharacteristic
450C2×C4⋊C4C22×D5311yescharacteristic
451C2×C4⋊C4C22×D5311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1061no—
458C2×C22⋊C4—1061no—
459C2×C22⋊C4—1061no—
460C2×C22⋊C4C22⋊D5311yescharacteristic
461C2×C22⋊C4C22⋊D5311yescharacteristic
462C2×C42—1061no—
463C2×C42—1061no—
464C2×C42C22×D5311yescharacteristic
465#107—1062no—
466#107—2121no—
467#107—2121no—
468#106—1062no—
469#106—1062no—
470#106—1062no—
471C4⋊C8—1062no—
472#102—534no—
473#102—1062no—
474#102—1062no—
475#102—1062no—
476C22⋊C8—1062no—
477C22⋊C8—1062no—
478C22⋊C8—1062no—
479C22⋊C8—1062no—
480C4×C8—1062no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—1061no—
486#95—1061no—
487#95—1061no—
488#95—1061no—
489#95—1061no—
490C24—21no—
491C24C2×C22⋊D5311yescharacteristic
492C24C2×C22⋊D5311yescharacteristic
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—41no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—81no—
506C2×D4—81no—
507C2×D4D4×D5312yes—
508C22×C4—21no—
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×C4—1061no—
530C22×C4—4241no—
531C22×C4—2122no—
532C22×C4—2122no—
533C22×C4C2×C22⋊D5311yescharacteristic
534C22×C4C2×C22⋊D5311yescharacteristic
535C22×C4C2×C22⋊D5311yescharacteristic
536C22×C4C2×C22⋊D5311yescharacteristic
537C22×C4C23×D5311yescharacteristic
538C2×C8—532no—
539C2×C8—532no—
540C2×C8—1061no—
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—532no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—2122no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—4241no—
574C22⋊C4—2122no—
575C22⋊C4—2122no—
576C42—4241no—
577C42—2122no—
578C42#1171994712yes—
579C42#1171994712yes—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23#1313323712yes—
601C23C22×C22⋊D5311yescharacteristic
602D4—22no—
603D4—22no—
604D4—44no—
605D4—41no—
606D4—41no—
607D4—84no—
608D4—84no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
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—84no—
637C2×C4—1062no—
638C2×C4—4244no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4#1313319812yes—
651C2×C4#1313319812yes—
652C2×C4C2×D4×D5311yescharacteristic
653C2×C4#41×D5311yescharacteristic
654C2×C4C2×#1171994711yescharacteristic
655C2×C4C2×#1171994711yescharacteristic
656C2×C4#1313326211yescharacteristic
657C2×C4#1313326411yescharacteristic
658C8—1062no—
659C8—1062no—
660C8—2121no—
661C8—2121no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—42no—
676C22—42no—
677C22—41no—
678C22—41no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22C2×#1313319811yescharacteristic
684C22D4×C22⋊D5311yescharacteristic
685C22#1681127211yescharacteristic
686C22C2×#1313323711yescharacteristic
687C22#1681142111yescharacteristic
688C22#1681142611yescharacteristic
689C22#1681143411yescharacteristic
690C4—22no—
691C4—22no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4—81no—
696C4—81no—
697C4—4241no—
698C4—4241no—
699C4—4241no—
700C4—2122no—
701C4#1681116811yescharacteristic
702C4#1681124011yescharacteristic
703C4#1681127311yescharacteristic
704C4#1681132011yescharacteristic
705C2—42no—
706C2—81no—
707C2—82no—
708C2#2027822511yescharacteristic
709C2#2028462411yescharacteristic
710C2#2028466711yescharacteristic
711C2#2028632211yescharacteristic
712C2#2028641811yescharacteristic
713C2#2028711111yescharacteristic
714C2#2028726911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
Fitting, prime radicalC53×#2535C2
socleC23×C53C22×D4
hypercenter#2535D53
hypocenterC53#25018
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2535

Complements

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

NH ≅ G/Ntype
1. C2×#16810939C2semidirect
2. C2×#16810944C2semidirect
3. #20277644C2semidirect
4. #20276152C2semidirect
5. #20276151C2semidirect
6. #20275894C2semidirect
7. #20275894C2semidirect
8. #20275510C2semidirect
9. #20275481C2semidirect
10. #20274912C2semidirect
11. #20274902C2semidirect
12. #20274877C2semidirect
13. #20274725C2semidirect
14. C4×#13133138C2semidirect
90. #13133138D4semidirect
418. C53#25018semidirect

Maximal subgroups

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

subgroupindex
C2×#168109392
C2×#168109442
#202776442
#202761522
#202761512
#202758942
#202755102
#202754812
#202749122
#202749022
#202748772
#202747252
C4×#131331382
C53×#25352
#2501853