Finite Group Databasebeta

← #28247726

Subgroups — #28247726

Order 13568.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811388C211yesmaximal, characteristic
2C2×#131×D53C211yesmaximal, characteristic
3#20287914C211yesmaximal, characteristic
4#20283284C213yesmaximal, complemented
5#20283283C211yesmaximal, characteristic, complemented
6#20283282C213yesmaximal, complemented
7#20283282C213yesmaximal, complemented
8#20283281C211yesmaximal, characteristic, complemented
9#20283281C211yesmaximal, characteristic, complemented
10#20283280C213yesmaximal, complemented
11#20283277C213yesmaximal, complemented
12#20283276C213yesmaximal, complemented
13C2×#16810648C213yesmaximal, complemented
14#424×D53C213yesmaximal, complemented
15C53×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D53C2211yescharacteristic
17#16811388—28no—
18C2×#13133225C2213yes—
19C2×#13133225C2213yes—
20C2×#13133224C2211yescharacteristic
21C2×#13133224C2211yescharacteristic
22C2×#13133223C2213yes—
23C2×#13133223C2213yes—
24#131×D53—28no—
25C22×#11719912C2213yes—
26C2×M16×D53C2213yes—
27C2×M16×D53C2213yes—
28C22×C8×D53C2213yes—
29#16811105C411yescharacteristic
30#16811105C411yescharacteristic
31#16811102C413yes—
32#16811102C413yes—
33#16811099C411yescharacteristic
34#16811099C411yescharacteristic
35#16811095C413yes—
36#16811095C413yes—
37#41×Dic53C2211yescharacteristic
38C4×#11719945C2213yes—
39#16811091C2213yes—
40C2×#13133174C2213yes—
41#117×D53C2213yes—
42#16810651C2213yescomplemented
43#16810651C2213yescomplemented
44#16810650C2213yescomplemented
45#16810650C2213yescomplemented
46#16810649C2213yescomplemented
47#16810649C2213yescomplemented
48#16810648C2213yes—
49#16810648C2216yes—
50#16810648C2211yescharacteristic
51#16810648C2213yes—
52#16810648C2213yes—
53#16810648C2213yescomplemented
54#16810648C2213yescomplemented
55#16810648C2213yescomplemented
56#16810648C2213yescomplemented
57#16810648C2216yescomplemented
58#16810648C2216yescomplemented
59#16810647C2213yescomplemented
60#16810646C2213yescomplemented
61#16810646C2213yescomplemented
62#16810645C2216yescomplemented
63#16810645C2216yescomplemented
64C2×C4⋊#88322C2213yescomplemented
65C2×#13133146C2213yescomplemented
66C2×#13133146C2213yescomplemented
67C4⋊C8×D53C2216yescomplemented
68C4⋊C8×D53C2216yescomplemented
69C2×#131×C53C2211yescharacteristic
70C2×#131×C53C2211yescharacteristic
71C4×#41×C53C2211yescharacteristic
72C53×#424C2213yescomplemented
73C53×#424C2213yescomplemented
74C53×#423C2213yescomplemented
75C2×C4⋊C8×C53C2213yescomplemented
76C2×#11719949C2×C411yescharacteristic
77C2×#11719945C2313yes—
78C2×#11719947C2×C413yes—
79#41×D53D418yes—
80#41×D53Q818yes—
81C2×Q8×D53C2×C411yescharacteristic
82C2×D4×D53C2×C413yes—
83C22×C4×D53C2313yes—
84#13133225—212no—
85#13133225—212no—
86#13133224—24no—
87#13133224—24no—
88#13133223—212no—
89#13133223—212no—
90C2×#11719917C2313yes—
91C2×#11719917C2313yes—
92C2×#11719912—212no—
93C2×#11719912C2313yes—
94C2×#11719912C2316yes—
95C2×#11719912C2311yescharacteristic
96C2×#11719912C2313yes—
97C2×#11719912C2313yes—
98M16×D53—212no—
99M16×D53—212no—
100C22×#88322C2313yes—
101C22×#88322C2313yes—
102C2×C8×D53—212no—
103C2×C8×D53C2311yescharacteristic
104C2×C8×D53C2313yes—
105C2×C8×D53C2313yes—
106C2×C8×D53C2313yes—
107C2×C8×D53C2316yes—
108Q8×Dic53C2×C411yescharacteristic
109Q8×Dic53C2×C411yescharacteristic
110C4×Dic106C2×C413yes—
111C4×Dic106C2×C413yes—
112#13133182C2×C413yes—
113#13133182C2×C413yes—
114C4×D212C2×C413yes—
115C4×D212C2×C413yes—
116D4×Dic53C2×C413yes—
117D4×Dic53C2×C413yes—
118#13133179C2×C413yes—
119#13133179C2×C413yes—
120C4×C22⋊D53C2×C416yes—
121C4×C22⋊D53C2×C416yes—
122#13133177C2×C416yes—
123#13133177C2×C416yes—
124#13133176C2313yes—
125#13133175C2×C413yes—
126#13133175C2×C413yes—
127#13133174C2×C413yes—
128#13133174C2×C413yes—
129#13133174C2×C413yes—
130#13133174C2×C413yes—
131#13133174C2313yes—
132#13133174C2311yescharacteristic
133#13133174C2313yes—
134#13133174C2313yes—
135#13133173C2×C416yes—
136C2×#11719919C2×C413yes—
137C2×#11719919C2×C413yes—
138C4⋊C4×D53C2×C413yes—
139C4⋊C4×D53C2×C413yes—
140C2×#11719921C2×C413yes—
141C2×#11719921C2×C413yes—
142C22⋊C4×D53C2×C416yes—
143C2×C4×Dic53C2313yes—
144C42×D53C2316yes—
145C4⋊#88322C2313yes—
146C4⋊#88322C2316yes—
147C4⋊#88322C2311yescharacteristic
148C4⋊#88322C2313yes—
149C4⋊#88322C2313yes—
150#13133146C2313yes—
151#13133146C2313yes—
152#13133146C2316yes—
153#13133146C2316yes—
154#13133146C2311yescharacteristic
155#13133146C2311yescharacteristic
156#13133146C2313yes—
157#13133146C2313yes—
158#13133146C2313yes—
159#13133146C2313yes—
160C2×#41×C53C2311yescharacteristic
161#131×C53—24no—
162#131×C53—24no—
163C2×M16×C53C2313yes—
164C2×M16×C53C2313yes—
165C22×C8×C53C2313yes—
166C22×C8×C53C2313yes—
167C4×Q8×C53C2×C411yescharacteristic
168C4×Q8×C53C2×C411yescharacteristic
169C4×D4×C53C2×C413yes—
170C4×D4×C53C2×C413yes—
171#117×C53C2313yes—
172C2×C42×C53C2313yes—
173C4⋊C8×C53C2313yes—
174C4⋊C8×C53C2316yes—
175C4⋊C8×C53C2313yes—
176C4⋊C8×C53C2311yescharacteristic
177C4⋊C8×C53C2313yes—
178C23×D53C22×C413yes—
179#41×C53C2×D414yes—
180#41×C53C2×Q814yes—
181C2×Q8×C53C22×C411yescharacteristic
182C2×D4×C53C22×C413yes—
183C22×C4×C53C22×C413yes—
184C22×C4×C53C22×C413yes—
185C22×C4×C53C2413yes—
186C2×C22⋊D53C22×C416yes—
187C22×Dic53C22×C413yes—
188C22×Dic53C22×C413yes—
189C22×Dic53C22×C413yes—
190#11719949C4⋊C418yes—
191Q8×D53C4⋊C418yes—
192#11719947C4⋊C4124yes—
193D4×D53C4⋊C4124yes—
194#11719945C2×D4112yes—
195#11719945C2×Q8112yes—
196C2×D212C22×C413yes—
197C2×C4×D53C22×C416yes—
198C2×C4×D53C22×C416yes—
199C2×C4×D53C22×C413yes—
200C2×C4×D53C22×C413yes—
201C2×C4×D53C2×D4112yes—
202C2×C4×D53C2×Q8112yes—
203C2×C4×D53C2413yes—
204C2×C4×D53C2411yescharacteristic
205C2×Dic106C22×C413yes—
206M16×C53—26no—
207M16×C53—26no—
208C2×C8×C53—26no—
209C2×C8×C53—26no—
210C2×C8×C53C2411yescharacteristic
211C2×C8×C53C2411yescharacteristic
212C2×C8×C53C2413yes—
213C2×C8×C53C2413yes—
214C4⋊C4×C53C22×C413yes—
215C4⋊C4×C53C22×C413yes—
216C22⋊C4×C53C22×C416yes—
217C42×C53C22×C413yes—
218C42×C53C22×C413yes—
219C42×C53C2411yescharacteristic
220C42×C53C2413yes—
221C22⋊Dic53C22×C416yes—
222#11719921C22×C413yes—
223#11719921C22×C413yes—
224#11719921C22×C411yescharacteristic
225#11719921C22×C411yescharacteristic
226#11719921C22×C413yes—
227#11719921C22×C413yes—
228#11719921C22×C413yes—
229#11719921C22×C413yes—
230C4⋊Dic53C22×C413yes—
231C4⋊Dic53C22×C413yes—
232#11719919C22×C413yes—
233#11719919C22×C413yes—
234#11719919C22×C411yescharacteristic
235#11719919C22×C411yescharacteristic
236#11719919C22×C413yes—
237#11719919C22×C413yes—
238#11719919C22×C413yes—
239#11719919C22×C413yes—
240C4×Dic53C22×C416yes—
241C4×Dic53C22×C416yes—
242C4×Dic53C22×C413yes—
243C4×Dic53C22×C413yes—
244C4×Dic53C2413yes—
245C4×Dic53C2411yescharacteristic
246#11719917—26no—
247#11719917—26no—
248C2×#88322—26no—
249C2×#88322—26no—
250C2×#88322C2411yescharacteristic
251C2×#88322C2413yes—
252C2×#88322C2413yes—
253C2×#88322C2411yescharacteristic
254#11719912—26no—
255#11719912—212no—
256#11719912—22no—
257#11719912—26no—
258#11719912—26no—
259C8×D53—22no—
260C8×D53—26no—
261C8×D53—26no—
262C8×D53—26no—
263C8×D53—212no—
264C23×C53C23×C413yes—
265C22×D53—43no—
266C22×D53—43no—
267C22×D53C2×C4⋊C4112yes—
268C22×D53C23×C413yes—
269C22×D53C23×C411yescharacteristic
270Q8×C53C2×C4⋊C414yes—
271D4×C53C2×C4⋊C4112yes—
272C2×C4×C53—43no—
273C2×C4×C53—43no—
274C2×C4×C53C23×C413yes—
275C2×C4×C53C23×C413yes—
276C2×C4×C53C23×C411yescharacteristic
277C2×C4×C53C23×C411yescharacteristic
278C2×C4×C53C23×C413yes—
279C2×C4×C53C22×D416yes—
280C2×C4×C53C22×Q816yes—
281C2×C4×C53C2511yescharacteristic
282C22⋊D53C2×C4⋊C4124yes—
283C2×Dic53—43no—
284C2×Dic53—43no—
285C2×Dic53C2×C4⋊C4112yes—
286C2×Dic53C23×C413yes—
287C2×Dic53C23×C413yes—
288C2×Dic53C23×C411yescharacteristic
289C2×Dic53C23×C411yescharacteristic
290C2×Dic53C23×C413yes—
291C2×Dic53C23×C411yescharacteristic
292D212C2×C4⋊C4112yes—
293C4×D53—46no—
294C4×D53—46no—
295C4×D53C2×C4⋊C4112yes—
296C4×D53C2×C4⋊C4112yes—
297C4×D53C22×D412yes—
298C4×D53C22×D416yes—
299C4×D53C22×Q812yes—
300C4×D53C22×Q816yes—
301Dic106C2×C4⋊C4112yes—
302C8×C53—21no—
303C8×C53—23no—
304C8×C53—23no—
305C8×C53—21no—
306#88322—21no—
307#88322—23no—
308#88322—23no—
309#88322—21no—
310#60100—531nomaximal, Sylow
311C22×C53—23no—
312C22×C53—23no—
313C22×C53C22×C4⋊C416yes—
314C22×C53C24×C411yescharacteristic
315C2×D53—23no—
316C2×D53—23no—
317C2×D53—21no—
318C2×D53—21no—
319C2×D53—412no—
320C2×D53C22×C4⋊C412yes—
321C2×D53C22×C4⋊C416yes—
322C4×C53—23no—
323C4×C53—23no—
324C4×C53—21no—
325C4×C53—21no—
326C4×C53C22×C4⋊C416yes—
327C4×C53C23×D411yescharacteristic
328C4×C53C23×Q811yescharacteristic
329Dic53—23no—
330Dic53—23no—
331Dic53—21no—
332Dic53—21no—
333Dic53C22×C4⋊C416yes—
334Dic53C22×C4⋊C412yes—
335C2×#568—531no—
336C22×#131—531no—
337#3428—531no—
338#2906—533no—
339#2906—533no—
340#2906—533no—
341#2906—533no—
342#2906—531no—
343#2906—531no—
344#2906—531no—
345#2906D5311yescharacteristic, complemented
346#2905—533no—
347#2905—533no—
348C2×#424—533no—
349C2×#424—533no—
350C2×C53—26no—
351C2×C53C23×C4⋊C411yescharacteristic
352C2×C53#357311yescharacteristic
353C2×C53#357311yescharacteristic
354D53—22no—
355D53—26no—
356C22×#41—531no—
357#568—1068no—
358C2×#131—531no—
359C2×#131—531no—
360C2×#131—533no—
361C2×#131—533no—
362C2×#131—533no—
363C2×#131—533no—
364C2×#131—1068no—
365C2×#131C2×D5311yescharacteristic
366C2×#131C2×D5311yescharacteristic
367C22×M16—533no—
368C22×M16—533no—
369C22×M16—533no—
370C23×C8—533no—
371#520—531no—
372#520—531no—
373#520—533no—
374#520—533no—
375#519—531no—
376#519—531no—
377#518—533no—
378#518—533no—
379C4×#41—531no—
380C4×#41—533no—
381C4×#41—533no—
382C4×#41C2×D5311yescharacteristic
383C2×#117—533no—
384C2×#117—533no—
385#424—533no—
386#424—533no—
387#424—533no—
388#424—533no—
389#424—533no—
390#424—533no—
391#424—533no—
392#424—531no—
393#424—536no—
394#424—533no—
395#424—533no—
396#424—533no—
397#424—533no—
398#424—533no—
399#424—533no—
400#424—536no—
401#424—536no—
402#424C2×D5313yescomplemented
403#424C2×D5313yescomplemented
404#423—533no—
405#423—533no—
406#423—533no—
407#423—536no—
408#423—536no—
409#423C2×D5313yescomplemented
410C2×C4⋊C8—533no—
411C2×C4⋊C8—533no—
412C2×C4⋊C8—533no—
413C2×C4⋊C8—536no—
414C2×C4⋊C8—536no—
415C2×C4⋊C8C2×D5313yescomplemented
416C53#6010011yescharacteristic, complemented, Sylow
417C2×#41—538no—
418C2×#41—538no—
419C2×#41—531no—
420C2×#41—533no—
421C2×#41—533no—
422C2×#41C22×D5311yescharacteristic
423C22×Q8—531no—
424C22×D4—533no—
425C23×C4—533no—
426#131—24no—
427#131—24no—
428#131—10612no—
429#131—10612no—
430#131—10612no—
431#131—10612no—
432#131—1064no—
433#131—1064no—
434C2×M16—533no—
435C2×M16—533no—
436C2×M16—533no—
437C2×M16—531no—
438C2×M16—536no—
439C2×M16—533no—
440C2×M16—533no—
441C2×M16—10612no—
442C2×M16—10612no—
443C2×M16—10612no—
444C2×M16C22×D5313yes—
445C2×M16C22×D5313yes—
446C22×C8—533no—
447C22×C8—533no—
448C22×C8—531no—
449C22×C8—533no—
450C22×C8—533no—
451C22×C8—533no—
452C22×C8—536no—
453C22×C8—10612no—
454C22×C8C22×D5313yes—
455C22×C8C22×D5313yes—
456C4×Q8—531no—
457C4×Q8—531no—
458C4×Q8—533no—
459C4×Q8—533no—
460C4×Q8—533no—
461C4×Q8—533no—
462C4×Q8C4×D5311yescharacteristic
463C4×Q8C4×D5311yescharacteristic
464C4×D4—533no—
465C4×D4—533no—
466C4×D4—536no—
467C4×D4—536no—
468C4×D4—533no—
469C4×D4—533no—
470C4×D4—536no—
471C4×D4—536no—
472C4×D4—533no—
473C4×D4—533no—
474C4×D4C4×D5313yes—
475C4×D4C4×D5313yes—
476#117—533no—
477#117—533no—
478#117—533no—
479#117—536no—
480#117—533no—
481#117—533no—
482#117—533no—
483#117—533no—
484#117—533no—
485#117—531no—
486#117—533no—
487#117—533no—
488#117C22×D5313yes—
489C2×C4⋊C4—533no—
490C2×C4⋊C4—533no—
491C2×C4⋊C4—533no—
492C2×C4⋊C4—533no—
493C2×C22⋊C4—533no—
494C2×C22⋊C4—533no—
495C2×C22⋊C4—536no—
496C2×C42—533no—
497C2×C42—536no—
498C2×C42C22×D5313yes—
499C4⋊C8—533no—
500C4⋊C8—531no—
501C4⋊C8—533no—
502C4⋊C8—531no—
503C4⋊C8—536no—
504C4⋊C8—536no—
505C4⋊C8—533no—
506C4⋊C8—533no—
507C4⋊C8—533no—
508C4⋊C8—533no—
509C4⋊C8—533no—
510C4⋊C8—531no—
511C4⋊C8—536no—
512C4⋊C8—533no—
513C4⋊C8—533no—
514C4⋊C8C22×D5313yes—
515C4⋊C8C22×D5316yes—
516C4⋊C8C22×D5311yescharacteristic
517C4⋊C8C22×D5313yes—
518C4⋊C8C22×D5313yes—
519C24—533no—
520#41—538no—
521#41—5324no—
522#41—5312no—
523#41—5312no—
524#41D4×D5314yes—
525#41Q8×D5314yes—
526C2×Q8—538no—
527C2×Q8—533no—
528C2×Q8C2×C4×D5311yescharacteristic
529C2×D4—536no—
530C2×D4—5324no—
531C2×D4—533no—
532C2×D4C2×C4×D5313yes—
533C22×C4—533no—
534C22×C4—533no—
535C22×C4—533no—
536C22×C4—5312no—
537C22×C4—5312no—
538C22×C4—533no—
539C22×C4—531no—
540C22×C4—533no—
541C22×C4—533no—
542C22×C4—536no—
543C22×C4—536no—
544C22×C4C2×C4×D5313yes—
545C22×C4C2×C4×D5313yes—
546C22×C4C23×D5313yes—
547M16—26no—
548M16—26no—
549M16—1062no—
550M16—1066no—
551M16—1066no—
552M16—1066no—
553M16—10612no—
554M16—1066no—
555M16—1066no—
556C2×C8—26no—
557C2×C8—26no—
558C2×C8—531no—
559C2×C8—531no—
560C2×C8—533no—
561C2×C8—533no—
562C2×C8—1062no—
563C2×C8—1066no—
564C2×C8—1066no—
565C2×C8—1066no—
566C2×C8—10612no—
567C2×C8—1066no—
568C2×C8—1066no—
569C2×C8C23×D5311yescharacteristic
570C2×C8C23×D5313yes—
571C2×C8C23×D5313yes—
572C2×C8C23×D5311yescharacteristic
573C4⋊C4—533no—
574C4⋊C4—533no—
575C4⋊C4—531no—
576C4⋊C4—531no—
577C4⋊C4—533no—
578C4⋊C4—533no—
579C4⋊C4—533no—
580C4⋊C4—533no—
581C4⋊C4—533no—
582C4⋊C4—533no—
583C4⋊C4C2×C4×D5313yes—
584C4⋊C4C2×C4×D5313yes—
585C22⋊C4—536no—
586C22⋊C4—533no—
587C22⋊C4—533no—
588C22⋊C4—531no—
589C22⋊C4—531no—
590C22⋊C4—533no—
591C22⋊C4—533no—
592C22⋊C4—533no—
593C22⋊C4—533no—
594C22⋊C4C2×C4×D5316yes—
595C42—536no—
596C42—536no—
597C42—533no—
598C42—533no—
599C42—531no—
600C42—533no—
601C42C2×C4×D5313yes—
602C42C2×C4×D5313yes—
603C42C23×D5313yes—
604C42C23×D5311yescharacteristic
605C23—531no—
606C23—533no—
607C23—5312no—
608C23—2123no—
609C23—2123no—
610C23C22×C4×D5313yes—
611Q8—5312no—
612Q8C4⋊C4×D5314yes—
613D4—5324no—
614D4—5312no—
615D4C4⋊C4×D53112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—5312no—
619C2×C4—533no—
620C2×C4—531no—
621C2×C4—5312no—
622C2×C4—5312no—
623C2×C4—532no—
624C2×C4—536no—
625C2×C4—532no—
626C2×C4—536no—
627C2×C4—533no—
628C2×C4—531no—
629C2×C4—533no—
630C2×C4—531no—
631C2×C4—2126no—
632C2×C4—2126no—
633C2×C4—2123no—
634C2×C4—2123no—
635C2×C4C22×C4×D5313yes—
636C2×C4C22×C4×D5313yes—
637C2×C4C22×C4×D5311yescharacteristic
638C2×C4C22×C4×D5311yescharacteristic
639C2×C4C22×C4×D5313yes—
640C2×C4C2×D4×D5316yes—
641C2×C4C2×Q8×D5316yes—
642C2×C4C24×D5311yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—1061no—
648C8—1063no—
649C8—1063no—
650C8—1061no—
651C22—23no—
652C22—23no—
653C22—532no—
654C22—536no—
655C22—1063no—
656C22—1061no—
657C22—1063no—
658C22—1061no—
659C22—21212no—
660C22C2×C4⋊C4×D5316yes—
661C22C23×C4×D5311yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—532no—
667C4—536no—
668C4—1063no—
669C4—1061no—
670C4—1063no—
671C4—1061no—
672C4C2×C4⋊C4×D5316yes—
673C4C22×D4×D5311yescharacteristic
674C4C22×Q8×D5311yescharacteristic
675C2—26no—
676C2—1062no—
677C2—1066no—
678C2C22×C4⋊C4×D5311yescharacteristic
679C2#2028942611yescharacteristic
680C2#2028942811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D53
commutator, socleC22×C53C24×C4
FittingC53×#2906C2
prime radicalC2×#41×D53C22
cosocleC2×C4×C53C25
hypercenter#2906D53
hypocenterC53#60100
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #20283284C2semidirect
5. #20283283C2semidirect
6. #20283282C2semidirect
7. #20283282C2semidirect
8. #20283281C2semidirect
9. #20283281C2semidirect
10. #20283280C2semidirect
11. #20283277C2semidirect
12. #20283276C2semidirect
13. C2×#16810648C2semidirect
14. #424×D53C2semidirect
15. C53×#2906C2semidirect
42. #16810651C22semidirect
43. #16810651C22semidirect
44. #16810650C22semidirect
45. #16810650C22semidirect
46. #16810649C22semidirect
47. #16810649C22semidirect
53. #16810648C22semidirect
54. #16810648C22semidirect
55. #16810648C22semidirect
56. #16810648C22semidirect
57. #16810648C22semidirect
58. #16810648C22semidirect
59. #16810647C22semidirect
60. #16810646C22semidirect
61. #16810646C22semidirect
62. #16810645C22semidirect
63. #16810645C22semidirect
64. C2×C4⋊#88322C22semidirect
65. C2×#13133146C22semidirect
66. C2×#13133146C22semidirect
67. C4⋊C8×D53C22semidirect
68. C4⋊C8×D53C22semidirect
72. C53×#424C22semidirect
73. C53×#424C22semidirect
74. C53×#423C22semidirect
75. C2×C4⋊C8×C53C22semidirect
345. #2906D53semidirect
402. #424C2×D53semidirect
403. #424C2×D53semidirect
409. #423C2×D53semidirect
415. C2×C4⋊C8C2×D53semidirect
416. C53#60100semidirect

Maximal subgroups

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

subgroupindex
C2×#168113882
C2×#131×D532
#202879142
#202832842
#202832832
#202832822
#202832812
#202832802
#202832772
#202832762
C2×#168106482
#424×D532
C53×#29062
#6010053