Finite Group Databasebeta

← #27404417

Subgroups — #27404417

Order 13568.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810781C211yesmaximal, characteristic
2C2×#16810729C211yesmaximal, characteristic, complemented
3C22×#13133140C211yesmaximal, characteristic
4#20277720C211yesmaximal, characteristic
5#20277547C211yesmaximal, characteristic
6#20275584C211yesmaximal, characteristic, complemented
7#20275403C211yesmaximal, characteristic, complemented
8#20275348C211yesmaximal, characteristic, complemented
9#20275136C211yesmaximal, characteristic
10#20275057C211yesmaximal, characteristic, complemented
11#20275057C211yesmaximal, characteristic, complemented
12#20274980C211yesmaximal, characteristic, complemented
13#20274544C211yesmaximal, characteristic, complemented
14#20274494C211yesmaximal, characteristic
15C53×#1853C211yesmaximal, characteristic
16C23×Dic106C2211yescharacteristic
17C22×Dic212C2211yescharacteristic
18C22×Dic212C2211yescharacteristic
19C23×#88322C2211yescharacteristic
20C2×#13133196C2211yescharacteristic
21C2×#13133182C2211yescharacteristic
22C2×#13133182C2211yescharacteristic
23C2×#13133182C2211yescharacteristic
24#16810781C418yescomplemented
25#16810729—24no—
26C2×#13133142C2211yescharacteristic
27C2×#13133142C2211yescharacteristic
28C2×#13133140—24no—
29C2×#13133140C2211yescharacteristic
30C2×#13133140C2211yescharacteristic
31C2×#13133140C2211yescharacteristic
32C2×#13133140C2211yescharacteristic
33C2×#13133140C2211yescharacteristic
34C2×#13133140C2211yescharacteristic
35C2×#13133127C2211yescharacteristic
36C2×#13133127C2211yescharacteristic
37#16810528C2211yescharacteristic
38#16810528C2211yescharacteristic
39#16810528C2211yescharacteristic
40#16810527—21no—
41#16810527—21no—
42#16810519C2211yescharacteristic
43#16810518—21no—
44#16810504—21no—
45#16810496—21no—
46#16810481—21no—
47C4⋊C4×Dic53C2211yescharacteristic
48C22⋊C4×Dic53—21no—
49C4×C22⋊Dic53—21no—
50C4×C22⋊Dic53C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810385C2211yescharacteristic
53#16810377C2211yescharacteristic
54#16810377C2211yescharacteristic
55C22×C4⋊C4×C53C2211yescharacteristic
56C2×#106×C53C2211yescharacteristic
57C2×#106×C53C2211yescharacteristic
58C2×C22⋊C8×C53C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×Dic106—22no—
63C22×Dic106—22no—
64C22×Dic106—21no—
65C22×Dic106—22no—
66C22×Dic106—41no—
67C22×Dic106—41no—
68C22×Dic106C2×C414yes—
69C22×Dic106C2311yescharacteristic
70C22×Dic106C2311yescharacteristic
71C22×Dic106C2311yescharacteristic
72C23×Dic53—21no—
73C2×Dic212—22no—
74C2×Dic212—22no—
75C2×Dic212—41no—
76C2×Dic212—41no—
77C2×Dic212C2×C414yescomplemented
78C2×Dic212C2×C414yescomplemented
79C22×#88322—22no—
80C22×#88322—22no—
81C22×#88322—41no—
82C22×#88322C2311yescharacteristic
83C22×#88322C2311yescharacteristic
84#13133196—22no—
85#13133196C2×C414yes—
86#13133182—22no—
87#13133182—22no—
88#13133182—22no—
89#13133182—41no—
90#13133182—41no—
91#13133182—41no—
92C2×C4⋊Dic53C2311yescharacteristic
93C2×#11719919—21no—
94C2×#11719919—21no—
95C2×#11719919—21no—
96C2×#11719919—21no—
97C2×#11719919—21no—
98C2×C22⋊Dic53—21no—
99C2×C22⋊Dic53D411yescharacteristic
100C2×C22⋊Dic53D411yescharacteristic
101C2×C4×Dic53—21no—
102C2×C4×Dic53—21no—
103C2×C4×Dic53—21no—
104C2×C4×Dic53—21no—
105C2×C4×Dic53C2311yescharacteristic
106C2×C4×Dic53C2311yescharacteristic
107#13133142C2×C414yescomplemented
108#13133142C2×C414yescomplemented
109#13133140—22no—
110#13133140—22no—
111#13133140—22no—
112#13133140—22no—
113#13133140—41no—
114#13133140D414yes—
115#13133127—22no—
116#13133127—41no—
117#13133124—21no—
118#13133124—21no—
119#13133124—21no—
120#13133124—21no—
121#13133124—21no—
122#13133124—21no—
123#13133124—21no—
124#13133124—21no—
125#13133124D411yescharacteristic
126#13133124D411yescharacteristic
127C23×C4×C53—21no—
128C23×C4×C53C2311yescharacteristic
129C22×C8×C53C2311yescharacteristic
130C22×C8×C53C2311yescharacteristic
131C2×C4⋊C4×C53—21no—
132C2×C4⋊C4×C53—22no—
133C2×C4⋊C4×C53—41no—
134C2×C4⋊C4×C53C2311yescharacteristic
135C2×C4⋊C4×C53C2311yescharacteristic
136C2×C4⋊C4×C53C2311yescharacteristic
137C2×C4⋊C4×C53C2311yescharacteristic
138C2×C22⋊C4×C53—21no—
139#106×C53—22no—
140#106×C53—41no—
141C22⋊C8×C53C2×C414yes—
142#95×C53—21no—
143C24×C53C2×D411yescharacteristic
144C22×C4×C53—21no—
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—42no—
153C22×C4×C53—42no—
154C22×C4×C53—81no—
155C22×C4×C53C22×C412yes—
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53#4112yes—
158C22×C4×C53C2411yescharacteristic
159C22×Dic53—21no—
160C22×Dic53—24no—
161C22×Dic53—21no—
162C22×Dic53—21no—
163C22×Dic53—21no—
164C22×Dic53—42no—
165C22×Dic53—42no—
166C22×Dic53C2×D411yescharacteristic
167C22×Dic53C2×D411yescharacteristic
168C22×Dic53C2×D411yescharacteristic
169C22×Dic53C2×D411yescharacteristic
170C2×Dic106—21no—
171C2×Dic106—21no—
172C2×Dic106—21no—
173C2×Dic106—21no—
174C2×Dic106—21no—
175C2×Dic106—21no—
176C2×Dic106—21no—
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—21no—
180C2×Dic106—21no—
181C2×Dic106—28no—
182C2×Dic106—24no—
183C2×Dic106—21no—
184C2×Dic106—21no—
185C2×Dic106—44no—
186C2×Dic106—44no—
187C2×Dic106—44no—
188C2×Dic106—42no—
189C2×Dic106—42no—
190C2×Dic106C22×C412yes—
191C2×Dic106C22×C412yes—
192C2×Dic106C22×C412yes—
193C2×Dic106C2×D412yes—
194C2×Dic106#4112yes—
195C2×C8×C53—21no—
196C2×C8×C53—21no—
197C2×C8×C53—21no—
198C2×C8×C53—21no—
199C2×C8×C53C22×C412yes—
200C2×C8×C53C22×C412yes—
201C4⋊C4×C53—21no—
202C4⋊C4×C53—21no—
203C4⋊C4×C53—21no—
204C4⋊C4×C53—21no—
205C4⋊C4×C53—21no—
206C4⋊C4×C53—21no—
207C4⋊C4×C53—21no—
208C4⋊C4×C53—42no—
209C4⋊C4×C53C2×D412yes—
210C22⋊C4×C53—42no—
211C22⋊Dic53—24no—
212C22⋊Dic53—22no—
213C22⋊Dic53—22no—
214C4⋊Dic53—21no—
215C4⋊Dic53C22×C412yes—
216#11719919—24no—
217#11719919—42no—
218#11719919—42no—
219#11719919—42no—
220#11719919—81no—
221C4×Dic53—21no—
222C4×Dic53—21no—
223C4×Dic53—21no—
224C4×Dic53—21no—
225C4×Dic53—42no—
226C4×Dic53—42no—
227C4×Dic53—42no—
228C4×Dic53—81no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322—21no—
232C2×#88322—21no—
233C2×#88322—21no—
234C2×#88322—44no—
235C2×#88322C2×D412yes—
236Dic212—28no—
237Dic212—44no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—21no—
241C23×C53—21no—
242C23×C53C4×D412yes—
243C23×C53#13712yes—
244C23×C53#13712yes—
245C23×C53C22×D411yescharacteristic
246C2×C4×C53—21no—
247C2×C4×C53—21no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
253C2×C4×C53—41no—
254C2×C4×C53—41no—
255C2×C4×C53—41no—
256C2×C4×C53—41no—
257C2×C4×C53—41no—
258C2×C4×C53—41no—
259C2×C4×C53—41no—
260C2×C4×C53—41no—
261C2×C4×C53—41no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
264C2×C4×C53—84no—
265C2×C4×C53C4×D412yes—
266C2×C4×C53C23×C411yescharacteristic
267C2×C4×C53C22×D411yescharacteristic
268C2×C4×C53C2×#4111yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53H(5,𝔽2)11yescharacteristic
271C2×C4×C53H(5,𝔽2)11yescharacteristic
272C2×Dic53—22no—
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53—22no—
277C2×Dic53—22no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53—21no—
285C2×Dic53—21no—
286C2×Dic53—21no—
287C2×Dic53—21no—
288C2×Dic53—21no—
289C2×Dic53—21no—
290C2×Dic53—48no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297Dic106—22no—
298Dic106—22no—
299Dic106—22no—
300Dic106—22no—
301Dic106—22no—
302Dic106—22no—
303Dic106—22no—
304Dic106—48no—
305Dic106—41no—
306Dic106—41no—
307Dic106—41no—
308Dic106—41no—
309Dic106C4×D414yes—
310C8×C53—22no—
311C8×C53—22no—
312#88322—22no—
313#88322—41no—
314#22859—531nomaximal, Sylow
315C22×C53—22no—
316C22×C53—22no—
317C22×C53—22no—
318C22×C53—22no—
319C22×C53—22no—
320C22×C53—22no—
321C22×C53#44114yescomplemented
322C22×C53C2×C4×D411yescharacteristic
323C22×C53D4211yescharacteristic
324C22×C53#54611yescharacteristic
325C22×C53C2×#13711yescharacteristic
326C22×C53C2×#13711yescharacteristic
327C22×C53#57711yescharacteristic
328C22×C53#57811yescharacteristic
329C4×C53—22no—
330C4×C53—42no—
331C4×C53—81no—
332C4×C53—81no—
333C4×C53—81no—
334C4×C53C2×C4×D411yescharacteristic
335C4×C53#51811yescharacteristic
336C4×C53#54611yescharacteristic
337C4×C53#55111yescharacteristic
338Dic53—24no—
339Dic53—42no—
340Dic53—42no—
341Dic53—42no—
342Dic53—41no—
343Dic53—41no—
344Dic53—41no—
345Dic53—41no—
346C2×#451—531no—
347C2×#441—531no—
348C22×#103—531no—
349#2360—531no—
350Q8×C22⋊C4—531no—
351#1971—531no—
352#1935—531no—
353#1927—531no—
354#1892—531no—
355#1878—531no—
356#1878—531no—
357#1865—531no—
358#1853D5311yescharacteristic
359#1763—531no—
360#1752—531no—
361C2×C53—24no—
362C2×C53#235811yescharacteristic
363C2×C53C2×#44111yescharacteristic
364C2×C53#294711yescharacteristic
365C2×C53#326611yescharacteristic
366C2×C53#327011yescharacteristic
367C2×C53#331211yescharacteristic
368C2×C53#331611yescharacteristic
369C23×Q8—531no—
370C22×Q16—531no—
371C22×Q16—531no—
372C23×C8—531no—
373C2×C22⋊Q8—531no—
374C2×C4×Q8—531no—
375C2×C4×Q8—531no—
376C2×C4×Q8—531no—
377C22×C4⋊C4C2×D5311yescharacteristic
378#451—538no—
379#441—1064no—
380C2×#106C2×D5311yescharacteristic
381C2×#106C2×D5311yescharacteristic
382C2×#103—531no—
383C2×#103—531no—
384C2×#103—531no—
385C2×#103—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#103—531no—
389C2×#103—531no—
390C2×#103—1064no—
391C2×C22⋊C8C2×D5311yescharacteristic
392C2×#97—531no—
393C2×#97—531no—
394#391—531no—
395#391—531no—
396#391—531no—
397#391—1061no—
398#391—1061no—
399#389—531no—
400#389—1061no—
401#387—1061no—
402#385—1061no—
403#380—1061no—
404#380C2×D5311yescharacteristic
405C4×C4⋊C4—531no—
406C4×C22⋊C4—531no—
407C4×C22⋊C4—1061no—
408C4×C22⋊C4—1061no—
409#340—531no—
410#340—531no—
411#340C2×D5311yescharacteristic
412#340C2×D5311yescharacteristic
413#336—531no—
414#336—531no—
415C53#2285911yescharacteristic, complemented, Sylow
416C22×Q8—534no—
417C22×Q8—531no—
418C22×Q8—531no—
419C22×Q8—531no—
420C22×Q8—1062no—
421C22×Q8—1062no—
422C22×Q8—1061no—
423C22×Q8—1062no—
424C22×Q8—2121no—
425C22×Q8—2121no—
426C23×C4—21no—
427C23×C4—1061no—
428C23×C4C22×D5311yescharacteristic
429C2×Q16—534no—
430C2×Q16—534no—
431C2×Q16—1062no—
432C2×Q16—1062no—
433C2×Q16—2121no—
434C2×Q16—2121no—
435C22×C8—531no—
436C22×C8—531no—
437C22×C8—1062no—
438C22×C8—1062no—
439C22×C8—2121no—
440C22×C8C22×D5311yescharacteristic
441C22×C8C22×D5311yescharacteristic
442C22⋊Q8—534no—
443C22⋊Q8—1062no—
444C4×Q8—1062no—
445C4×Q8—1062no—
446C4×Q8—1062no—
447C4×Q8—2121no—
448C4×Q8—2121no—
449C4×Q8—2121no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—41no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4C22×D5311yescharacteristic
460C2×C4⋊C4C22×D5311yescharacteristic
461C2×C4⋊C4C22×D5311yescharacteristic
462C2×C4⋊C4C22×D5311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—531no—
465C2×C22⋊C4—531no—
466C2×C22⋊C4—1061no—
467C2×C42—531no—
468C2×C42—531no—
469C2×C42—1061no—
470C2×C42—1061no—
471C2×C42—1061no—
472C2×C42—1061no—
473#106—22no—
474#106—41no—
475#103—534no—
476#103—534no—
477#103—534no—
478#103—1062no—
479#103—1062no—
480#103—1062no—
481#103—1062no—
482#103—2121no—
483C22⋊C8C4×D5314yes—
484#97—1062no—
485#97—2121no—
486#95—21no—
487#95—531no—
488#95—531no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496#95—1061no—
497C24D4×D5311yescharacteristic
498C2×Q8—532no—
499C2×Q8—532no—
500C2×Q8—532no—
501C2×Q8—532no—
502C2×Q8—532no—
503C2×Q8—1068no—
504C2×Q8—1064no—
505C2×Q8—1061no—
506C2×Q8—1061no—
507C2×Q8—1061no—
508C2×Q8—1061no—
509C2×Q8—1061no—
510C2×Q8—1061no—
511C2×Q8—1061no—
512C2×Q8—1061no—
513C2×Q8—1061no—
514C2×Q8—1061no—
515C2×Q8—1061no—
516C2×Q8—1061no—
517C2×Q8—1061no—
518C2×Q8—2122no—
519C2×Q8—2122no—
520C2×Q8—2124no—
521C2×Q8—2124no—
522C2×Q8—2124no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—81no—
534C22×C4—531no—
535C22×C4—531no—
536C22×C4—531no—
537C22×C4—531no—
538C22×C4—1061no—
539C22×C4—1064no—
540C22×C4—1061no—
541C22×C4—1061no—
542C22×C4—1061no—
543C22×C4—2122no—
544C22×C4—2122no—
545C22×C4C2×C4×D5312yes—
546C22×C4D4×D5311yescharacteristic
547C22×C4#1171994912yes—
548C22×C4C23×D5311yescharacteristic
549Q16—1068no—
550Q16—2124no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—532no—
556C2×C8—1061no—
557C2×C8—1061no—
558C2×C8—1061no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8—2124no—
562C2×C8C2×C4×D5312yes—
563C2×C8C2×C4×D5312yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—532no—
573C4⋊C4—1064no—
574C4⋊C4—1061no—
575C4⋊C4—4241no—
576C4⋊C4—2122no—
577C4⋊C4—2122no—
578C4⋊C4—2122no—
579C4⋊C4D4×D5312yes—
580C22⋊C4—42no—
581C22⋊C4—1064no—
582C22⋊C4—1062no—
583C22⋊C4—1062no—
584C42—1061no—
585C42—1061no—
586C42—1061no—
587C42—1061no—
588C42—4241no—
589C42—2122no—
590C42—2122no—
591C42—2122no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23#1313317912yes—
597C23#1313324612yes—
598C23#1313324612yes—
599C23C2×D4×D5311yescharacteristic
600Q8—534no—
601Q8—1062no—
602Q8—1062no—
603Q8—1062no—
604Q8—1062no—
605Q8—1062no—
606Q8—1062no—
607Q8—1062no—
608Q8—2128no—
609Q8—2121no—
610Q8—2121no—
611Q8—2121no—
612Q8—2121no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
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—84no—
632C2×C4—1062no—
633C2×C4—1062no—
634C2×C4—1062no—
635C2×C4—1061no—
636C2×C4—1061no—
637C2×C4—1062no—
638C2×C4—1062no—
639C2×C4—1062no—
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—2128no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4#1313317912yes—
658C2×C4C22×C4×D5311yescharacteristic
659C2×C4C2×D4×D5311yescharacteristic
660C2×C4#41×D5311yescharacteristic
661C2×C4C2×#1171994911yescharacteristic
662C2×C4#1313326211yescharacteristic
663C2×C4#1313326311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1062no—
667C8—2121no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1681072914yescomplemented
675C22C2×#1313317911yescharacteristic
676C22#1681125511yescharacteristic
677C22#1681126511yescharacteristic
678C22C2×#1313324611yescharacteristic
679C22C2×#1313324611yescharacteristic
680C22#1681143311yescharacteristic
681C22#1681143911yescharacteristic
682C4—22no—
683C4—42no—
684C4—81no—
685C4—81no—
686C4—81no—
687C4—1064no—
688C4—2121no—
689C4—2121no—
690C4—2121no—
691C4—2121no—
692C4—2122no—
693C4—2122no—
694C4—2122no—
695C4C4×D4×D5311yescharacteristic
696C4#1681109511yescharacteristic
697C4#1681126411yescharacteristic
698C4#1681130011yescharacteristic
699C2—24no—
700C2#2027769111yescharacteristic
701C2C2×#1681072911yescharacteristic
702C2#2028355611yescharacteristic
703C2#2028622911yescharacteristic
704C2#2028627811yescharacteristic
705C2#2028676411yescharacteristic
706C2#2028682411yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1853C2
socleC23×C53C22×D4
prime radicalC24×C53C2×D4
cosocleC22×C4×C53C24
hypercenter#1853D53
hypocenterC53#22859
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1853

Complements

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

NH ≅ G/Ntype
2. C2×#16810729C2semidirect
6. #20275584C2semidirect
7. #20275403C2semidirect
8. #20275348C2semidirect
10. #20275057C2semidirect
11. #20275057C2semidirect
12. #20274980C2semidirect
13. #20274544C2semidirect
24. #16810781C4semidirect
77. C2×Dic212C2×C4semidirect
78. C2×Dic212C2×C4semidirect
107. #13133142C2×C4semidirect
108. #13133142C2×C4semidirect
321. C22×C53#441semidirect
415. C53#22859semidirect
674. C22#16810729semidirect

Maximal subgroups

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

subgroupindex
C2×#168107812
C2×#168107292
C22×#131331402
#202777202
#202775472
#202755842
#202754032
#202753482
#202751362
#202750572
#202749802
#202745442
#202744942
C53×#18532
#2285953