Finite Group Databasebeta

← #27432839

Subgroups — #27432839

Order 13568.

900 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810937C211yesmaximal, characteristic, complemented
2#20279032C211yesmaximal, characteristic, complemented
3#20278133C211yesmaximal, characteristic
4#20276203C211yesmaximal, characteristic, complemented
5#20276143C211yesmaximal, characteristic, complemented
6#20276102C211yesmaximal, characteristic, complemented
7#20275905C211yesmaximal, characteristic, complemented
8#20275458C211yesmaximal, characteristic, complemented
9#20275412C211yesmaximal, characteristic, complemented
10#20275153C211yesmaximal, characteristic, complemented
11#20275143C211yesmaximal, characteristic, complemented
12#20274916C211yesmaximal, characteristic, complemented
13#20274744C211yesmaximal, characteristic, complemented
14#20274435C211yesmaximal, characteristic, complemented
15C2×C53×#435C211yesmaximal, characteristic, complemented
16C2×#13133191C2211yescharacteristic
17C2×#13133191C2211yescharacteristic
18C2×#13133176C2211yescharacteristic
19C22×C4⋊Dic53C2211yescharacteristic
20#16810937—24no—
21C2×#13133151C2211yescharacteristic
22C2×#13133151C2211yescharacteristic
23C2×#13133151C2211yescharacteristic
24C2×#13133149C2211yescharacteristic
25C2×#13133139C2211yescharacteristic
26C2×#13133139C2211yescharacteristic
27C2×#13133139C2211yescharacteristic
28C2×#13133139C2211yescharacteristic
29#16810562—21no—
30#16810559—21no—
31#16810538—21no—
32#16810531—21no—
33#16810525C2211yescharacteristic
34#16810523—21no—
35#16810521C2211yescharacteristic
36#16810521C2211yescharacteristic
37#16810521C2211yescharacteristic
38#16810513—21no—
39#16810503—21no—
40#16810495—21no—
41#16810483C2211yescharacteristic
42#16810483C2211yescharacteristic
43#16810483C2211yescharacteristic
44#16810483C2211yescharacteristic
45#16810386C2211yescharacteristic
46#16810386C2211yescharacteristic
47#16810386C2211yescharacteristic
48#16810386C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810386C2211yescharacteristic
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53C22×M16×C53C2211yescharacteristic
54C23×C8×C53C2211yescharacteristic
55C2×C4×D4×C53C2211yescharacteristic
56C53×#435—24no—
57C2×C4⋊C8×C53C2211yescharacteristic
58C2×C22⋊C8×C53C2211yescharacteristic
59C2×C22⋊C8×C53C2211yescharacteristic
60C2×#97×C53C2211yescharacteristic
61C22×D212C2311yescharacteristic
62C22×C22⋊D53—21no—
63C22×C22⋊D53—21no—
64C23×Dic53—21no—
65#13133191—22no—
66#13133191—22no—
67#13133191—22no—
68#13133191—41no—
69#13133176—22no—
70#13133176—41no—
71C2×C4⋊Dic53—21no—
72C2×C4⋊Dic53—22no—
73C2×C4⋊Dic53—22no—
74C2×C4⋊Dic53C2311yescharacteristic
75C2×C4⋊Dic53C2311yescharacteristic
76C2×C4⋊Dic53C2311yescharacteristic
77C2×C4⋊Dic53C2311yescharacteristic
78C2×C4⋊Dic53C2311yescharacteristic
79C2×C4⋊Dic53C2311yescharacteristic
80C2×C4⋊Dic53C2311yescharacteristic
81C2×#11719919—21no—
82C2×#11719919—21no—
83C2×#11719919—21no—
84C2×C22⋊Dic53—21no—
85C2×C22⋊Dic53—21no—
86C2×C22⋊Dic53—21no—
87C2×C22⋊Dic53—21no—
88C2×C22⋊Dic53—21no—
89C2×#11719921—21no—
90C2×#11719921—21no—
91C2×#11719921—21no—
92C2×#11719921—21no—
93C2×C4×Dic53—21no—
94#13133151—22no—
95#13133151—22no—
96#13133151—41no—
97#13133149—22no—
98#13133139—22no—
99#13133139—22no—
100#13133139—22no—
101#13133139—41no—
102#13133124—21no—
103#13133124—21no—
104#13133124—21no—
105#13133124—21no—
106#13133124—21no—
107#13133124—21no—
108#13133124—21no—
109C22×D4×C53D411yescharacteristic
110C23×C4×C53C2311yescharacteristic
111C23×C4×C53C2311yescharacteristic
112C2×M16×C53—22no—
113C2×M16×C53—22no—
114C2×M16×C53—41no—
115C22×C8×C53—22no—
116C22×C8×C53—22no—
117C22×C8×C53—41no—
118C22×C8×C53C2311yescharacteristic
119C22×C8×C53C2311yescharacteristic
120C22×C8×C53C2311yescharacteristic
121C22×C8×C53C2311yescharacteristic
122C4×D4×C53—22no—
123C4×D4×C53—22no—
124C2×C4⋊C4×C53D411yescharacteristic
125C2×C22⋊C4×C53D411yescharacteristic
126C2×C22⋊C4×C53D411yescharacteristic
127C2×C42×C53C2311yescharacteristic
128C4⋊C8×C53—22no—
129C22⋊C8×C53—22no—
130C22⋊C8×C53D414yescomplemented
131#97×C53—22no—
132C24×C53C2×D411yescharacteristic
133C24×C53C2×D411yescharacteristic
134C23×D53—21no—
135C2×D4×C53—22no—
136C2×D4×C53—22no—
137C2×D4×C53—41no—
138C22×C4×C53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53C2×D411yescharacteristic
149C22×C4×C53C2×D411yescharacteristic
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2×D412yes—
153C22×C4×C53#4112yes—
154C22×C4×C53C2411yescharacteristic
155C2×C22⋊D53—42no—
156C2×C22⋊D53—42no—
157C2×C22⋊D53—42no—
158C2×C22⋊D53—81no—
159C2×C22⋊D53—81no—
160C2×C22⋊D53—81no—
161C22×Dic53—21no—
162C22×Dic53—21no—
163C22×Dic53—21no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53—21no—
168C22×Dic53—42no—
169C22×Dic53—81no—
170C22×Dic53—81no—
171C2×D212—21no—
172C2×D212—21no—
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212—21no—
177M16×C53—44no—
178C2×C8×C53—21no—
179C2×C8×C53—21no—
180C2×C8×C53—21no—
181C2×C8×C53—21no—
182C2×C8×C53—21no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53—44no—
188C2×C8×C53C2×D412yes—
189C2×C8×C53C2×D412yes—
190C2×C8×C53#4112yes—
191C4⋊C4×C53—22no—
192C22⋊C4×C53—22no—
193C22⋊C4×C53—22no—
194C42×C53—21no—
195C42×C53—21no—
196C22⋊Dic53—42no—
197C22⋊Dic53—42no—
198C22⋊Dic53—81no—
199C22⋊Dic53—81no—
200C22⋊Dic53—81no—
201#11719921—42no—
202#11719921—42no—
203#11719921—42no—
204#11719921—81no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
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—42no—
219C4⋊Dic53#4112yes—
220#11719919—81no—
221#11719919—81no—
222#11719919—81no—
223C4×Dic53—42no—
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#12112yes—
237C23×C53#13712yes—
238C23×C53C22×D411yescharacteristic
239C22×D53—41no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246D4×C53—44no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
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—21no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53#12112yes—
267C2×C4×C53C22×D411yescharacteristic
268C2×C4×C53C2×#4111yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53C2×#4111yescharacteristic
271C2×C4×C53H(5,𝔽2)11yescharacteristic
272C2×C4×C532−1+411yescharacteristic
273C22⋊D53—84no—
274C22⋊D53—84no—
275C2×Dic53—22no—
276C2×Dic53—41no—
277C2×Dic53—41no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
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—84no—
297D212—41no—
298D212—41no—
299D212—41no—
300D212—41no—
301C8×C53—22no—
302C8×C53—22no—
303C8×C53—22no—
304C8×C53—41no—
305#25240—531nomaximal, Sylow
306C22×C53—22no—
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—22no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53—41no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53C2×#12111yescharacteristic
321C22×C53#54611yescharacteristic
322C22×C53#54711yescharacteristic
323C22×C53C2×#13711yescharacteristic
324C22×C53#57511yescharacteristic
325C22×C53#57611yescharacteristic
326C22×C53#57611yescharacteristic
327C2×D53—81no—
328C2×D53—81no—
329C2×D53—81no—
330C2×D53—81no—
331C2×D53—81no—
332C2×D53—81no—
333C2×D53—81no—
334C4×C53—22no—
335C4×C53—41no—
336C4×C53—41no—
337C4×C53—41no—
338C4×C53#52911yescharacteristic
339C4×C53#53911yescharacteristic
340C4×C53#54611yescharacteristic
341C4×C53#54711yescharacteristic
342Dic53—42no—
343Dic53—81no—
344Dic53—81no—
345Dic53—81no—
346Dic53—81no—
347Dic53—81no—
348Dic53—81no—
349C2×#480—531no—
350C2×#435D5311yescharacteristic, complemented
351#2487—531no—
352#2414—531no—
353#2086—531no—
354#2076—531no—
355#2067—531no—
356#2034—531no—
357#1944—531no—
358#1936—531no—
359#1895—531no—
360#1893—531no—
361#1854—531no—
362#1808—531no—
363#1736—531no—
364C2×C53—42no—
365C2×C53—42no—
366C2×C53#242511yescharacteristic
367C2×C53#305611yescharacteristic
368C2×C53#305811yescharacteristic
369C2×C53#330911yescharacteristic
370C2×C53#331411yescharacteristic
371C2×C53#334611yescharacteristic
372C2×C53#334711yescharacteristic
373D53—161no—
374C22×M16C2×D5311yescharacteristic
375C23×C8C2×D5311yescharacteristic
376C2×#121—531no—
377C2×#121—531no—
378C2×C4×D4C2×D5311yescharacteristic
379C2×#117—531no—
380C22×C4⋊C4—531no—
381#480—1064no—
382#435—24no—
383C2×#107—531no—
384C2×#107—531no—
385C2×#107—531no—
386C2×#106—531no—
387C2×C4⋊C8C2×D5311yescharacteristic
388C2×#102—531no—
389C2×#102—531no—
390C2×#102—531no—
391C2×#102—531no—
392C2×C22⋊C8C2×D5311yescharacteristic
393C2×C22⋊C8C2×D5311yescharacteristic
394C2×#97C2×D5311yescharacteristic
395#400—1061no—
396#399—1061no—
397#394—1061no—
398#392—1061no—
399#390—531no—
400#390—1061no—
401#389—531no—
402#389—531no—
403#389—531no—
404#388—1061no—
405#386—1061no—
406#385—1061no—
407#380—531no—
408#380—531no—
409#380—531no—
410#380—531no—
411#340—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419C53#2524011yescharacteristic, complemented, Sylow
420C22×D4—531no—
421C22×D4—1061no—
422C22×D4—1061no—
423C22×D4D21211yescharacteristic
424C23×C4—1061no—
425C23×C4C22×D5311yescharacteristic
426C23×C4C22×D5311yescharacteristic
427C2×M16—22no—
428C2×M16—22no—
429C2×M16—41no—
430C22×C8—22no—
431C22×C8—22no—
432C22×C8—41no—
433C22×C8C22×D5311yescharacteristic
434C22×C8C22×D5311yescharacteristic
435C22×C8C22×D5311yescharacteristic
436C22×C8C22×D5311yescharacteristic
437#121—1062no—
438#121—1062no—
439#121—1062no—
440#121—2121no—
441C4×D4—22no—
442C4×D4—22no—
443#117—1062no—
444#117—2121no—
445C2×C4⋊C4—531no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—531no—
448C2×C4⋊C4—531no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—1062no—
453C2×C4⋊C4—1062no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4D21211yescharacteristic
459C2×C22⋊C4—1061no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4D21211yescharacteristic
469C2×C22⋊C4D21211yescharacteristic
470C2×C42—1061no—
471C2×C42C22×D5311yescharacteristic
472#107—1062no—
473#107—1062no—
474#107—2121no—
475#106—1062no—
476C4⋊C8—22no—
477#102—1062no—
478#102—1062no—
479#102—1062no—
480#102—2121no—
481C22⋊C8—22no—
482C22⋊C8C22⋊D5314yescomplemented
483#97—22no—
484#95—1061no—
485#95—1061no—
486#95—1061no—
487#95—1061no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491C24—1061no—
492C24C2×D21211yescharacteristic
493C24C2×D21211yescharacteristic
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—41no—
497C2×D4—1061no—
498C2×D4—1061no—
499C2×D4—1061no—
500C2×D4—1061no—
501C2×D4—1061no—
502C2×D4—1061no—
503C2×D4—4241no—
504C2×D4—4241no—
505C2×D4—4241no—
506C2×D4—2122no—
507C2×D4—2122no—
508C2×D4—2122no—
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—1061no—
520C22×C4—1061no—
521C22×C4—1061no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—4241no—
527C22×C4—4241no—
528C22×C4—2122no—
529C22×C4C2×D21211yescharacteristic
530C22×C4C2×D21211yescharacteristic
531C22×C4C2×D21211yescharacteristic
532C22×C4C2×D21211yescharacteristic
533C22×C4#1171994512yes—
534C22×C4C2×C22⋊D5312yes—
535C22×C4C23×D5311yescharacteristic
536M16—44no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—44no—
547C2×C8#1171994712yes—
548C2×C8C2×C22⋊D5312yes—
549C2×C8C2×C22⋊D5312yes—
550C4⋊C4—22no—
551C4⋊C4—532no—
552C4⋊C4—1061no—
553C4⋊C4—1061no—
554C4⋊C4—1061no—
555C4⋊C4—1061no—
556C4⋊C4—1061no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—4241no—
566C4⋊C4—4241no—
567C4⋊C4—4241no—
568C4⋊C4—2122no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—4241no—
572C22⋊C4—4241no—
573C22⋊C4—4241no—
574C22⋊C4—4241no—
575C22⋊C4—2122no—
576C22⋊C4—2122no—
577C22⋊C4—2122no—
578C22⋊C4—2122no—
579C22⋊C4—2122no—
580C42—21no—
581C42—21no—
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—2121no—
596C23—2121no—
597C23—2121no—
598C23—2121no—
599C23—2121no—
600C23—2121no—
601C23—2121no—
602C23#1313319112yes—
603C23#1313325012yes—
604C23C22×D21211yescharacteristic
605D4—44no—
606D4—4244no—
607D4—4244no—
608D4—2121no—
609D4—2121no—
610D4—2121no—
611D4—2121no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—1062no—
632C2×C4—4244no—
633C2×C4—2121no—
634C2×C4—2121no—
635C2×C4—2121no—
636C2×C4—2121no—
637C2×C4—2121no—
638C2×C4—2121no—
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—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4#1313319112yes—
654C2×C4C22×C22⋊D5311yescharacteristic
655C2×C4#41×D5311yescharacteristic
656C2×C4C2×#1171994711yescharacteristic
657C2×C4C2×#1171994511yescharacteristic
658C2×C4#1313326211yescharacteristic
659C2×C4#1313326411yescharacteristic
660C8—22no—
661C8—22no—
662C8—22no—
663C8—41no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—4241no—
679C22—4241no—
680C22—4241no—
681C22—4241no—
682C22—4241no—
683C22—4241no—
684C22—4241no—
685C22C2×#1313319111yescharacteristic
686C22#1681126811yescharacteristic
687C22#1681127711yescharacteristic
688C22C2×#1313325011yescharacteristic
689C22#1681142311yescharacteristic
690C22#1681142811yescharacteristic
691C22#1681142811yescharacteristic
692C4—22no—
693C4—41no—
694C4—41no—
695C4—41no—
696C4—4241no—
697C4—4241no—
698C4—4241no—
699C4—4241no—
700C4—4241no—
701C4—4241no—
702C4—2122no—
703C4#1681115311yescharacteristic
704C4#1681121511yescharacteristic
705C4#1681126711yescharacteristic
706C4#1681127211yescharacteristic
707C2—42no—
708C2—42no—
709C2—8481no—
710C2#2027826011yescharacteristic
711C2#2028434511yescharacteristic
712C2#2028436311yescharacteristic
713C2#2028672311yescharacteristic
714C2#2028679811yescharacteristic
715C2#2028720211yescharacteristic
716C2#2028721711yescharacteristic
subgroupG/H
centerC23C22×D212
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC2×C53×#435C2
socleC23×C53C22×D4
prime radical#20278133C2
hypercenterC2×#435D53
hypocenterC53#25240
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#16810937C2semidirect
2. #20279032C2semidirect
4. #20276203C2semidirect
5. #20276143C2semidirect
6. #20276102C2semidirect
7. #20275905C2semidirect
8. #20275458C2semidirect
9. #20275412C2semidirect
10. #20275153C2semidirect
11. #20275143C2semidirect
12. #20274916C2semidirect
13. #20274744C2semidirect
14. #20274435C2semidirect
15. C2×C53×#435C2semidirect
130. C22⋊C8×C53D4semidirect
350. C2×#435D53semidirect
419. C53#25240semidirect
482. C22⋊C8C22⋊D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168109372
#202790322
#202781332
#202762032
#202761432
#202761022
#202759052
#202754582
#202754122
#202751532
#202751432
#202749162
#202747442
#202744352
C2×C53×#4352
#2524053