Finite Group Databasebeta

← #27465262

Subgroups — #27465262

Order 13568.

888 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20277307C211yesmaximal, characteristic
2#20276152C211yesmaximal, characteristic, complemented
3#20276151C211yesmaximal, characteristic, complemented
4#20276146C211yesmaximal, characteristic, complemented
5#20276141C211yesmaximal, characteristic, complemented
6#20274912C211yesmaximal, characteristic, complemented
7#20274912C211yesmaximal, characteristic, complemented
8#20274908C211yesmaximal, characteristic, complemented
9#20274903C211yesmaximal, characteristic, complemented
10#20274810C211yesmaximal, characteristic, complemented
11#20274810C211yesmaximal, characteristic, complemented
12#20274803C211yesmaximal, characteristic, complemented
13#20274799C211yesmaximal, characteristic, complemented
14#20274627C211yesmaximal, characteristic
15C53×#2311C211yesmaximal, characteristic
16C2×#13133176C2211yescharacteristic
17C22×C4⋊Dic53C2211yescharacteristic
18C2×#13133150C2211yescharacteristic
19C2×#13133150C2211yescharacteristic
20C2×#13133148C2211yescharacteristic
21C2×#13133148C2211yescharacteristic
22C2×C22⋊#88322C2211yescharacteristic
23C2×C22⋊#88322C2211yescharacteristic
24C2×C22⋊#88322C2211yescharacteristic
25C2×C22⋊#88322C2211yescharacteristic
26C2×C22⋊#88322C2211yescharacteristic
27C2×C22⋊#88322C2211yescharacteristic
28#16810530—21no—
29#16810526—21no—
30#16810503—21no—
31#16810503—21no—
32#16810483C2211yescharacteristic
33#16810483C2211yescharacteristic
34#16810483C2211yescharacteristic
35#16810483C2211yescharacteristic
36#16810385C2211yescharacteristic
37#16810385C2211yescharacteristic
38#16810385C2211yescharacteristic
39#16810385C2211yescharacteristic
40#16810385C2211yescharacteristic
41#16810385C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48C22×#41×C53C2211yescharacteristic
49C2×#117×C53C2211yescharacteristic
50C22×C4⋊C4×C53C2211yescharacteristic
51C53×#391—21no—
52C53×#390—21no—
53C53×#386—21no—
54C53×#386—21no—
55C53×#380C2211yescharacteristic
56C53×#380C2211yescharacteristic
57C53×#380C2211yescharacteristic
58C53×#380C2211yescharacteristic
59C23×Dic53—21no—
60C22×#88322C2311yescharacteristic
61C22×#88322C2311yescharacteristic
62C22×#88322C2311yescharacteristic
63C22×#88322C2311yescharacteristic
64#13133176—41no—
65#13133176—41no—
66C2×C4⋊Dic53—21no—
67C2×C4⋊Dic53—22no—
68C2×C4⋊Dic53—22no—
69C2×C4⋊Dic53C2311yescharacteristic
70C2×C4⋊Dic53C2311yescharacteristic
71C2×C4⋊Dic53C2311yescharacteristic
72C2×C4⋊Dic53C2311yescharacteristic
73C2×C22⋊Dic53—21no—
74C2×C22⋊Dic53—21no—
75C2×C22⋊Dic53—21no—
76C2×C22⋊Dic53—21no—
77C2×C22⋊Dic53—21no—
78C2×C4×Dic53—21no—
79#13133150—41no—
80#13133150—41no—
81#13133148—41no—
82#13133148—41no—
83C22⋊#88322—22no—
84C22⋊#88322—22no—
85C22⋊#88322—22no—
86C22⋊#88322—22no—
87C22⋊#88322—41no—
88C22⋊#88322—41no—
89#13133124—21no—
90#13133124—21no—
91#13133124—21no—
92#13133124—21no—
93C2×#41×C53—22no—
94C2×#41×C53—22no—
95C2×#41×C53—22no—
96C2×#41×C53—22no—
97C2×#41×C53—41no—
98C2×#41×C53—41no—
99C22×Q8×C53D411yescharacteristic
100C22×D4×C53D411yescharacteristic
101C22×D4×C53D411yescharacteristic
102C22×D4×C53D411yescharacteristic
103C23×C4×C53—21no—
104C23×C4×C53C2311yescharacteristic
105C23×C4×C53C2311yescharacteristic
106C23×C4×C53C2311yescharacteristic
107#117×C53—22no—
108#117×C53—22no—
109C2×C4⋊C4×C53—21no—
110C2×C4⋊C4×C53—41no—
111C2×C4⋊C4×C53—41no—
112C2×C4⋊C4×C53C2311yescharacteristic
113C2×C4⋊C4×C53C2311yescharacteristic
114C2×C4⋊C4×C53C2311yescharacteristic
115C2×C4⋊C4×C53C2311yescharacteristic
116C2×C22⋊C4×C53—21no—
117C2×C22⋊C4×C53—21no—
118C2×C22⋊C4×C53—21no—
119C2×C22⋊C4×C53—21no—
120C2×C22⋊C4×C53—21no—
121C2×C42×C53—21no—
122#95×C53—21no—
123#95×C53—21no—
124#95×C53—21no—
125#95×C53—21no—
126C24×C53C2×D411yescharacteristic
127C24×C53C2×D411yescharacteristic
128C24×C53C2×D411yescharacteristic
129#41×C53—44no—
130#41×C53—44no—
131#41×C53—44no—
132#41×C53—44no—
133C2×Q8×C53—22no—
134C2×Q8×C53—22no—
135C2×Q8×C53—41no—
136C2×D4×C53—22no—
137C2×D4×C53—22no—
138C2×D4×C53—22no—
139C2×D4×C53—22no—
140C2×D4×C53—22no—
141C2×D4×C53—22no—
142C2×D4×C53—41no—
143C2×D4×C53—41no—
144C2×D4×C53—41no—
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—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—42no—
164C22×C4×C53—81no—
165C22×C4×C53—81no—
166C22×C4×C53C2×D411yescharacteristic
167C22×C4×C53C2×D411yescharacteristic
168C22×C4×C53C2×D411yescharacteristic
169C22×C4×C53#4112yes—
170C22×C4×C53#4112yes—
171C22×C4×C53#4112yes—
172C22×C4×C53#4112yes—
173C22×C4×C53C2411yescharacteristic
174C22×Dic53—21no—
175C22×Dic53—21no—
176C22×Dic53—21no—
177C22×Dic53—21no—
178C22×Dic53—42no—
179C22×Dic53—81no—
180C22×Dic53—81no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C4⋊C4×C53—21no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—42no—
190C22⋊C4×C53—42no—
191C22⋊C4×C53—81no—
192C22⋊C4×C53—81no—
193C22⋊C4×C53—81no—
194C22⋊C4×C53—81no—
195C42×C53—42no—
196C22⋊Dic53—42no—
197C22⋊Dic53—81no—
198C22⋊Dic53—81no—
199C22⋊Dic53—81no—
200C22⋊Dic53—81no—
201C4⋊Dic53—21no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—42no—
210C4×Dic53—42no—
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×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—21no—
241C23×C53—21no—
242C23×C53#12312yes—
243C23×C53#12312yes—
244C23×C53C22×D411yescharacteristic
245Q8×C53—44no—
246D4×C53—44no—
247D4×C53—44no—
248D4×C53—44no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—22no—
254C2×C4×C53—22no—
255C2×C4×C53—22no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
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—41no—
279C2×C4×C53—41no—
280C2×C4×C53—84no—
281C2×C4×C53#12312yes—
282C2×C4×C53#12312yes—
283C2×C4×C53C2×#4111yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C53C2×#4111yescharacteristic
286C2×C4×C53C2×#4111yescharacteristic
287C2×C4×C53H(5,𝔽2)11yescharacteristic
288C2×C4×C53H(5,𝔽2)11yescharacteristic
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—41no—
300C2×Dic53—41no—
301C2×Dic53—84no—
302#88322—41no—
303#88322—41no—
304#88322—41no—
305#88322—41no—
306#27606—531nomaximal, Sylow
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—22no—
312C22×C53—22no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53—41no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53—41no—
323C22×C53—41no—
324C22×C53—41no—
325C22×C53—41no—
326C22×C53—41no—
327C22×C53—41no—
328C22×C53C2×#12311yescharacteristic
329C22×C53C2×#12311yescharacteristic
330C22×C53#53411yescharacteristic
331C22×C53#57611yescharacteristic
332C22×C53#57711yescharacteristic
333C22×C53#57711yescharacteristic
334C22×C53#57811yescharacteristic
335C4×C53—22no—
336C4×C53—22no—
337C4×C53—41no—
338C4×C53—81no—
339C4×C53—81no—
340C4×C53—81no—
341C4×C53—81no—
342C4×C53#55111yescharacteristic
343C4×C53#55111yescharacteristic
344C4×C53#55111yescharacteristic
345C4×C53#55111yescharacteristic
346Dic53—81no—
347Dic53—81no—
348Dic53—81no—
349Dic53—81no—
350#2311—531no—
351#2311D5311yescharacteristic
352#2077—531no—
353#2077—531no—
354#2076—531no—
355#2075—531no—
356#1854—531no—
357#1854—531no—
358#1853—531no—
359#1852—531no—
360#1825—531no—
361#1825—531no—
362#1824—531no—
363#1823—531no—
364#1780—531no—
365C2×C53—42no—
366C2×C53—42no—
367C2×C53—81no—
368C2×C53#248311yescharacteristic
369C2×C53#309611yescharacteristic
370C2×C53#309711yescharacteristic
371C2×C53#309811yescharacteristic
372C2×C53#309911yescharacteristic
373C2×C53#319811yescharacteristic
374C2×C53#320111yescharacteristic
375C22×#41C2×D5311yescharacteristic
376C2×#117—531no—
377C2×#117C2×D5311yescharacteristic
378C22×C4⋊C4—531no—
379C22×C4⋊C4C2×D5311yescharacteristic
380C2×#107—531no—
381C2×#107—531no—
382C2×#106—531no—
383C2×#106—531no—
384C2×C22⋊C8—531no—
385C2×C22⋊C8—531no—
386C2×C22⋊C8—531no—
387C2×C22⋊C8—531no—
388C2×C22⋊C8—531no—
389C2×C22⋊C8—531no—
390#391—21no—
391#391—1061no—
392#390—21no—
393#390—1061no—
394#386—21no—
395#386—21no—
396#386—1061no—
397#386—1061no—
398#380—531no—
399#380—531no—
400#380—531no—
401#380—531no—
402#380C2×D5311yescharacteristic
403#380C2×D5311yescharacteristic
404#380C2×D5311yescharacteristic
405#380C2×D5311yescharacteristic
406#340—531no—
407#340—531no—
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418C53#2760611yescharacteristic, complemented, Sylow
419C2×#41—22no—
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C22×Q8C22⋊D5311yescharacteristic
426C22×D4C22⋊D5311yescharacteristic
427C22×D4C22⋊D5311yescharacteristic
428C22×D4C22⋊D5311yescharacteristic
429C23×C4—21no—
430C23×C4—1061no—
431C23×C4C22×D5311yescharacteristic
432C23×C4C22×D5311yescharacteristic
433C23×C4C22×D5311yescharacteristic
434C22×C8—531no—
435C22×C8—531no—
436C22×C8—531no—
437C22×C8—531no—
438#117—22no—
439#117—22no—
440#117—2121no—
441#117—2121no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—41no—
444C2×C4⋊C4—41no—
445C2×C4⋊C4—531no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—531no—
448C2×C4⋊C4—531no—
449C2×C4⋊C4—1062no—
450C2×C4⋊C4—1062no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4C22×D5311yescharacteristic
453C2×C4⋊C4C22×D5311yescharacteristic
454C2×C4⋊C4C22×D5311yescharacteristic
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C22⋊C4—21no—
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×C42—21no—
467C2×C42—1061no—
468#107—2121no—
469#107—2121no—
470#106—2121no—
471#106—2121no—
472C22⋊C8—1062no—
473C22⋊C8—1062no—
474C22⋊C8—1062no—
475C22⋊C8—1062no—
476C22⋊C8—2121no—
477C22⋊C8—2121no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—1061no—
483#95—1061no—
484#95—1061no—
485#95—1061no—
486C24C2×C22⋊D5311yescharacteristic
487C24C2×C22⋊D5311yescharacteristic
488C24C2×C22⋊D5311yescharacteristic
489#41—44no—
490#41—44no—
491#41—44no—
492#41—44no—
493C2×Q8—22no—
494C2×Q8—22no—
495C2×Q8—41no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—41no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
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—4241no—
532C22×C4—2122no—
533C22×C4#1171994512yes—
534C22×C4#1171994512yes—
535C22×C4#1171994712yes—
536C22×C4#1171994712yes—
537C22×C4C2×C22⋊D5311yescharacteristic
538C22×C4C2×C22⋊D5311yescharacteristic
539C22×C4C2×C22⋊D5311yescharacteristic
540C22×C4C23×D5311yescharacteristic
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—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4—1061no—
570C4⋊C4—2122no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C22⋊C4—81no—
575C22⋊C4—81no—
576C22⋊C4—4241no—
577C22⋊C4—4241no—
578C22⋊C4—4241no—
579C22⋊C4—4241no—
580C22⋊C4—2122no—
581C42—42no—
582C42—2122no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23#1313319812yes—
603C23#1313320012yes—
604C23C22×C22⋊D5311yescharacteristic
605Q8—44no—
606D4—44no—
607D4—44no—
608D4—44no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
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—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—84no—
641C2×C4—4244no—
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—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4#1313319812yes—
655C2×C4#1313320012yes—
656C2×C4C2×#1171994711yescharacteristic
657C2×C4C2×#1171994711yescharacteristic
658C2×C4C2×#1171994511yescharacteristic
659C2×C4C2×#1171994511yescharacteristic
660C2×C4#1313326211yescharacteristic
661C2×C4#1313326211yescharacteristic
662C8—2121no—
663C8—2121no—
664C8—2121no—
665C8—2121no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22C2×#1313319811yescharacteristic
688C22C2×#1313320011yescharacteristic
689C22#1681118211yescharacteristic
690C22#1681142611yescharacteristic
691C22#1681143111yescharacteristic
692C22#1681143411yescharacteristic
693C22#1681143811yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—81no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—4241no—
702C4—4241no—
703C4—4241no—
704C4—4241no—
705C4#1681129911yescharacteristic
706C4#1681129911yescharacteristic
707C4#1681129911yescharacteristic
708C4#1681129911yescharacteristic
709C2—42no—
710C2—42no—
711C2—81no—
712C2#2027899311yescharacteristic
713C2#2028467311yescharacteristic
714C2#2028468411yescharacteristic
715C2#2028468911yescharacteristic
716C2#2028470011yescharacteristic
717C2#2028556711yescharacteristic
718C2#2028559711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2311C2
socleC23×C53C22×D4
prime radicalC22×#41×C53C22
hypercenter#2311D53
hypocenterC53#27606
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C22×#41 ◁ #2311

Complements

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

NH ≅ G/Ntype
2. #20276152C2semidirect
3. #20276151C2semidirect
4. #20276146C2semidirect
5. #20276141C2semidirect
6. #20274912C2semidirect
7. #20274912C2semidirect
8. #20274908C2semidirect
9. #20274903C2semidirect
10. #20274810C2semidirect
11. #20274810C2semidirect
12. #20274803C2semidirect
13. #20274799C2semidirect
418. C53#27606semidirect

Maximal subgroups

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

subgroupindex
#202773072
#202761522
#202761512
#202761462
#202761412
#202749122
#202749082
#202749032
#202748102
#202748032
#202747992
#202746272
C53×#23112
#2760653