Finite Group Databasebeta

← #27406521

Subgroups — #27406521

Order 13568.

1046 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×#16810823C211yesmaximal, characteristic
2C2×#16810726C211yesmaximal, characteristic, complemented
3C2×#16810708C211yesmaximal, characteristic, complemented
4#20277779C211yesmaximal, characteristic
5#20277636C211yesmaximal, characteristic, complemented
6#20275539C211yesmaximal, characteristic
7#20275483C211yesmaximal, characteristic, complemented
8#20275413C211yesmaximal, characteristic, complemented
9#20275399C211yesmaximal, characteristic, complemented
10#20275068C211yesmaximal, characteristic, complemented
11#20275068C211yesmaximal, characteristic, complemented
12#20274977C211yesmaximal, characteristic, complemented
13#20274963C211yesmaximal, characteristic, complemented
14#20274587C211yesmaximal, characteristic, complemented
15C53×#1763C211yesmaximal, characteristic, complemented
16C22×#11719924C2211yescharacteristic
17C22×#11719924C2211yescharacteristic
18C2×#13133214C2211yescharacteristic
19C2×Q8×Dic53C2211yescharacteristic
20C2×Q8×Dic53C2211yescharacteristic
21C2×C4×D212—21no—
22C2×#13133179C2211yescharacteristic
23C2×#13133179C2211yescharacteristic
24#16810823C418yescomplemented
25#16810726—24no—
26#16810708—24no—
27C2×#13133150C2211yescharacteristic
28C2×#13133148C2211yescharacteristic
29C2×C4⋊#88322C2211yescharacteristic
30C2×#13133139C2211yescharacteristic
31C2×#13133139C2211yescharacteristic
32C2×#13133139C2211yescharacteristic
33C2×#13133139C2211yescharacteristic
34C2×#13133137C2211yescharacteristic
35C2×#13133137C2211yescharacteristic
36C2×#13133127C2211yescharacteristic
37C2×C8×Dic53C2211yescharacteristic
38#16810525—21no—
39#16810524C2211yescharacteristic
40#16810524C2211yescharacteristic
41#16810522—21no—
42#16810522—21no—
43#16810522C2211yescharacteristic
44#16810522C2211yescharacteristic
45#16810501—21no—
46#16810501—21no—
47#16810489—21no—
48#16810489C2211yescharacteristic
49C4×C4⋊Dic53—21no—
50C4×C4⋊Dic53C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810385C2211yescharacteristic
53#16810377C2211yescharacteristic
54#16810377C2211yescharacteristic
55C2×C4×Q8×C53C2211yescharacteristic
56C2×#103×C53C2211yescharacteristic
57C2×#103×C53C2211yescharacteristic
58C2×#97×C53C2211yescharacteristic
59C4×C4⋊C4×C53C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×D212—21no—
63C22×D212—21no—
64C22×D212C2311yescharacteristic
65C22×D212C2311yescharacteristic
66C22×C4×D53—21no—
67C22×C4×D53—21no—
68C2×#11719924—22no—
69C2×#11719924—22no—
70C2×#11719924—22no—
71C2×#11719924—22no—
72C2×#11719924C2×C414yescomplemented
73C2×#11719924C2×C414yescomplemented
74C22×#88322C2311yescharacteristic
75C22×#88322C2311yescharacteristic
76#13133214—22no—
77#13133214C2×C414yes—
78Q8×Dic53—22no—
79Q8×Dic53—22no—
80Q8×Dic53—41no—
81Q8×Dic53—41no—
82C4×D212—44no—
83#13133179—22no—
84#13133179—22no—
85#13133179—41no—
86#13133179—41no—
87C2×C4⋊Dic53—21no—
88C2×C4⋊Dic53—21no—
89C2×C4⋊Dic53—21no—
90C2×C4⋊Dic53—21no—
91C2×C4⋊Dic53D411yescharacteristic
92C2×C4⋊Dic53D411yescharacteristic
93C2×C4⋊Dic53C2311yescharacteristic
94C2×C4⋊Dic53C2311yescharacteristic
95C2×#11719921—21no—
96C2×#11719921—21no—
97C2×#11719921—21no—
98C2×#11719921—21no—
99C2×#11719921—21no—
100C2×#11719921—21no—
101C2×C4×Dic53—21no—
102C2×C4×Dic53—21no—
103C2×C4×Dic53C2311yescharacteristic
104C2×C4×Dic53C2311yescharacteristic
105#13133150—22no—
106#13133148—22no—
107C4⋊#88322C2×C414yescomplemented
108#13133139—22no—
109#13133139—22no—
110#13133139—41no—
111#13133139—41no—
112#13133137C2×C414yescomplemented
113#13133137C2×C414yescomplemented
114#13133127—22no—
115C8×Dic53—22no—
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119#13133124—21no—
120#13133124D411yescharacteristic
121#13133124D411yescharacteristic
122C22×Q8×C53C2311yescharacteristic
123C22×C8×C53C2311yescharacteristic
124C22×C8×C53C2311yescharacteristic
125C4×Q8×C53—22no—
126C4×Q8×C53C2×C414yescomplemented
127C2×C4⋊C4×C53—21no—
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C4⋊C4×C53C2311yescharacteristic
131C2×C42×C53—21no—
132C2×C42×C53—21no—
133C2×C42×C53C2311yescharacteristic
134#103×C53—22no—
135#103×C53D414yescomplemented
136#97×C53—22no—
137#95×C53—21no—
138C23×D53—21no—
139C23×D53—21no—
140C2×Q8×C53—21no—
141C2×Q8×C53—21no—
142C2×Q8×C53—21no—
143C2×Q8×C53C22×C412yes—
144C2×Q8×C53C2×D412yes—
145C2×Q8×C53#4112yes—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2411yescharacteristic
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53C2×D411yescharacteristic
156C22×Dic53C2×D411yescharacteristic
157C22×Dic53C2×D411yescharacteristic
158C22×Dic53C2×D411yescharacteristic
159C2×D212—21no—
160C2×D212—21no—
161C2×D212—21no—
162C2×D212—21no—
163C2×D212—21no—
164C2×D212—21no—
165C2×D212—21no—
166C2×D212—21no—
167C2×D212—24no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212—24no—
171C2×D212—42no—
172C2×D212—42no—
173C2×D212—81no—
174C2×D212—81no—
175C2×D212C22×C412yes—
176C2×D212C22×C412yes—
177C2×C4×D53—42no—
178C2×C4×D53—42no—
179C2×C4×D53—42no—
180C2×C4×D53—42no—
181C2×C4×D53—81no—
182C2×C4×D53—81no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53—21no—
188C2×C8×C53C2×D412yes—
189C4⋊C4×C53—24no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—21no—
194C4⋊C4×C53C22×C412yes—
195C4⋊C4×C53C2×D412yes—
196C42×C53—24no—
197C42×C53—42no—
198C42×C53C22×C412yes—
199C42×C53#4112yes—
200#11719924—28no—
201#11719924—28no—
202#11719921—42no—
203#11719921—42no—
204#11719921—42no—
205#11719921—42no—
206#11719921—81no—
207#11719921—81no—
208C4⋊Dic53—22no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—41no—
214C4⋊Dic53—42no—
215C4⋊Dic53—42no—
216C4⋊Dic53—42no—
217C4⋊Dic53—42no—
218C4×Dic53—21no—
219C4×Dic53—21no—
220C4×Dic53—21no—
221C4×Dic53—21no—
222C4×Dic53—42no—
223C4×Dic53—42no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322C22×C412yes—
229C2×#88322C22×C412yes—
230C23×C53C22×D411yescharacteristic
231C22×D53—22no—
232C22×D53—22no—
233C22×D53—41no—
234C22×D53—41no—
235C22×D53—41no—
236C22×D53—41no—
237C22×D53—41no—
238C22×D53—41no—
239C22×D53—41no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245Q8×C53—22no—
246Q8×C53—22no—
247Q8×C53—22no—
248Q8×C53C4×D414yescomplemented
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
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—41no—
265C2×C4×C53C4×D412yes—
266C2×C4×C53C4×D412yes—
267C2×C4×C53C23×C411yescharacteristic
268C2×C4×C53C22×D411yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53C2×#4111yescharacteristic
271C2×C4×C53H(5,𝔽2)11yescharacteristic
272C2×C4×C532−1+411yescharacteristic
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—21no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53AGL(1,ℤ/8)12yes—
291D212—22no—
292D212—22no—
293D212—22no—
294D212—22no—
295D212—48no—
296D212—41no—
297D212—41no—
298D212—41no—
299D212—41no—
300D212—84no—
301C4×D53—84no—
302C4×D53—84no—
303C8×C53—22no—
304C8×C53—41no—
305#88322—22no—
306#88322—22no—
307#23010—531nomaximal, Sylow
308C22×C53C2×C4×D411yescharacteristic
309C22×C53D4211yescharacteristic
310C22×C53#54811yescharacteristic
311C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C53#57511yescharacteristic
313C22×C53#57711yescharacteristic
314C22×C53#57711yescharacteristic
315C2×D53—42no—
316C2×D53—42no—
317C2×D53—42no—
318C2×D53—42no—
319C2×D53—42no—
320C2×D53—42no—
321C2×D53—81no—
322C2×D53—81no—
323C2×D53—81no—
324C2×D53—81no—
325C2×D53—81no—
326C2×D53—81no—
327C2×D53—81no—
328C2×D53—81no—
329C4×C53—24no—
330C4×C53—22no—
331C4×C53—22no—
332C4×C53—42no—
333C4×C53—42no—
334C4×C53—81no—
335C4×C53C2×C4×D411yescharacteristic
336C4×C53#52011yescharacteristic
337C4×C53#54711yescharacteristic
338C4×C53#55311yescharacteristic
339Dic53—22no—
340Dic53—41no—
341Dic53—41no—
342Dic53—41no—
343Dic53—81no—
344Dic53—81no—
345C2×#460—531no—
346C2×#440—531no—
347C2×C4×SD16—531no—
348#2366—531no—
349#2351—531no—
350#1961—531no—
351#1949—531no—
352#1936—531no—
353#1934—531no—
354#1880—531no—
355#1880—531no—
356#1864—531no—
357#1862—531no—
358#1771—531no—
359#1763D5311yescharacteristic, complemented
360C2×C53#236111yescharacteristic
361C2×C53C4×AGL(1,ℤ/8)11yescharacteristic
362C2×C53#294911yescharacteristic
363C2×C53#326511yescharacteristic
364C2×C53#327111yescharacteristic
365C2×C53#336811yescharacteristic
366C2×C53#337111yescharacteristic
367D53—82no—
368D53—82no—
369C22×SD16—531no—
370C22×SD16—531no—
371C2×#127—531no—
372C2×C4×Q8—531no—
373C2×C4×Q8—531no—
374C2×C4×Q8C2×D5311yescharacteristic
375C2×C4×D4—531no—
376C2×C4×D4—531no—
377C2×C4×D4—1061no—
378#460—538no—
379#440—1064no—
380C4×SD16—1064no—
381C2×#107—531no—
382C2×#106—531no—
383C2×C4⋊C8—531no—
384C2×#103C2×D5311yescharacteristic
385C2×#103C2×D5311yescharacteristic
386C2×#102—531no—
387C2×#102—531no—
388C2×#102—531no—
389C2×#102—531no—
390C2×#102—531no—
391C2×#102—531no—
392C2×#97—531no—
393C2×#97C2×D5311yescharacteristic
394C2×C4×C8—531no—
395#390—531no—
396#390—531no—
397#390—1061no—
398#389—531no—
399#389—531no—
400#389—1061no—
401#389—1061no—
402#386—1061no—
403#386—1061no—
404#382—531no—
405#382—1061no—
406C4×C4⋊C4—531no—
407C4×C4⋊C4—1061no—
408C4×C4⋊C4C2×D5311yescharacteristic
409#340—531no—
410#340—531no—
411#340C2×D5311yescharacteristic
412#340C2×D5311yescharacteristic
413#336—531no—
414#336—531no—
415C53#2301011yescharacteristic, complemented, Sylow
416C22×Q8C22×D5311yescharacteristic
417C22×D4—531no—
418C22×D4—531no—
419C22×D4—1061no—
420C22×D4—1061no—
421C23×C4—1061no—
422C23×C4—1061no—
423C2×SD16—534no—
424C2×SD16—534no—
425C2×SD16—1062no—
426C2×SD16—1062no—
427C2×SD16—1062no—
428C2×SD16—1062no—
429C22×C8—531no—
430C22×C8—531no—
431C22×C8C22×D5311yescharacteristic
432C22×C8C22×D5311yescharacteristic
433#127—534no—
434#127—1062no—
435C4×Q8—22no—
436C4×Q8—1062no—
437C4×Q8—1062no—
438C4×Q8—2121no—
439C4×Q8—2121no—
440C4×Q8C4×D5314yescomplemented
441C4×D4—1062no—
442C4×D4—1062no—
443C4×D4—2124no—
444C4×D4—2121no—
445C4×D4—2121no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—531no—
448C2×C4⋊C4—531no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4—1061no—
453C2×C4⋊C4—1061no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C4⋊C4C22×D5311yescharacteristic
457C2×C4⋊C4C22×D5311yescharacteristic
458C2×C22⋊C4—1061no—
459C2×C22⋊C4—1061no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C42—21no—
465C2×C42—21no—
466C2×C42—531no—
467C2×C42—531no—
468C2×C42—1061no—
469C2×C42—1061no—
470C2×C42C22×D5311yescharacteristic
471#107—1062no—
472#106—1062no—
473C4⋊C8—534no—
474#103—22no—
475#103D21214yescomplemented
476#102—534no—
477#102—534no—
478#102—1062no—
479#102—1062no—
480#102—2121no—
481#102—2121no—
482#97—22no—
483#97—1062no—
484C4×C8—1062no—
485#95—21no—
486#95—531no—
487#95—531no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492C24—1061no—
493C24—1061no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8C2×C4×D5312yes—
498C2×Q8C2×D21212yes—
499C2×Q8#1171994512yes—
500C2×D4—532no—
501C2×D4—532no—
502C2×D4—1064no—
503C2×D4—1064no—
504C2×D4—1061no—
505C2×D4—1061no—
506C2×D4—1061no—
507C2×D4—1061no—
508C2×D4—1061no—
509C2×D4—1061no—
510C2×D4—1061no—
511C2×D4—1061no—
512C2×D4—1061no—
513C2×D4—1061no—
514C2×D4—4241no—
515C2×D4—4241no—
516C2×D4—2122no—
517C2×D4—2122no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—531no—
523C22×C4—531no—
524C22×C4—531no—
525C22×C4—531no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—4241no—
529C22×C4—4241no—
530C22×C4—2122no—
531C22×C4—2122no—
532C22×C4—2122no—
533C22×C4—2122no—
534C22×C4D4×D5311yescharacteristic
535C22×C4D4×D5311yescharacteristic
536C22×C4C23×D5311yescharacteristic
537SD16—1068no—
538SD16—1068no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—532no—
545C2×C8—532no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8C2×D21212yes—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—1062no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—2121no—
562C4⋊C4—2122no—
563C4⋊C4—2122no—
564C4⋊C4—2122no—
565C4⋊C4—2122no—
566C4⋊C4C2×C4×D5312yes—
567C4⋊C4C2×D21212yes—
568C22⋊C4—4241no—
569C22⋊C4—4241no—
570C22⋊C4—2122no—
571C22⋊C4—2122no—
572C22⋊C4—2122no—
573C22⋊C4—2122no—
574C42—24no—
575C42—42no—
576C42—1061no—
577C42—1061no—
578C42—1061no—
579C42—1061no—
580C42—2122no—
581C42—2122no—
582C42C2×C4×D5312yes—
583C42#1171994712yes—
584C23—1062no—
585C23—1062no—
586C23—2121no—
587C23—2121no—
588C23—2121no—
589C23—2121no—
590C23—2121no—
591C23—2121no—
592C23—2121no—
593C23—2121no—
594C23—2121no—
595C23—2121no—
596C23—2121no—
597C23—2121no—
598C23C2×D4×D5311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8C4×D21214yescomplemented
603D4—1062no—
604D4—1062no—
605D4—1062no—
606D4—1062no—
607D4—4244no—
608D4—2128no—
609D4—2121no—
610D4—2121no—
611D4—2121no—
612D4—2121no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—532no—
630C2×C4—1061no—
631C2×C4—1061no—
632C2×C4—1061no—
633C2×C4—1061no—
634C2×C4—1061no—
635C2×C4—1061no—
636C2×C4—1061no—
637C2×C4—1061no—
638C2×C4—1061no—
639C2×C4—1061no—
640C2×C4—1061no—
641C2×C4—4244no—
642C2×C4—4244no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4#1313317712yes—
650C2×C4#1313317712yes—
651C2×C4C22×C4×D5311yescharacteristic
652C2×C4C22×D21211yescharacteristic
653C2×C4C2×#1171994711yescharacteristic
654C2×C4C2×#1171994511yescharacteristic
655C2×C4#1313326311yescharacteristic
656C2×C4#1313326411yescharacteristic
657C8—22no—
658C8—41no—
659C8—1062no—
660C8—1062no—
661C22—4241no—
662C22—4241no—
663C22—4241no—
664C22—4241no—
665C22—4241no—
666C22—4241no—
667C22—4241no—
668C22—4241no—
669C22—2122no—
670C22—2122no—
671C22—2122no—
672C22—2122no—
673C22—2122no—
674C22—2122no—
675C22C2×#1313317711yescharacteristic
676C22D4×D21211yescharacteristic
677C22#1681128211yescharacteristic
678C22AGL(1,ℤ/8)×D5311yescharacteristic
679C22#1681142211yescharacteristic
680C22#1681143211yescharacteristic
681C22#1681143211yescharacteristic
682C4—22no—
683C4—22no—
684C4—24no—
685C4—42no—
686C4—42no—
687C4—81no—
688C4—1062no—
689C4—4241no—
690C4—4241no—
691C4—2121no—
692C4—2121no—
693C4—2121no—
694C4C2×C4×D21211yescharacteristic
695C4#1681110311yescharacteristic
696C4#1681127711yescharacteristic
697C4#1681131911yescharacteristic
698C2—4242no—
699C2—4242no—
700C2#2027772911yescharacteristic
701C2#2028352811yescharacteristic
702C2#2028357011yescharacteristic
703C2#2028621211yescharacteristic
704C2#2028630211yescharacteristic
705C2#2028744511yescharacteristic
706C2#2028748411yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1763C2
socleC23×C53C22×D4
prime radicalC2×#13133214C22
cosocleC22×C4×C53C24
hypercenter#1763D53
hypocenterC53#23010
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1763

Complements

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

NH ≅ G/Ntype
2. C2×#16810726C2semidirect
3. C2×#16810708C2semidirect
5. #20277636C2semidirect
7. #20275483C2semidirect
8. #20275413C2semidirect
9. #20275399C2semidirect
10. #20275068C2semidirect
11. #20275068C2semidirect
12. #20274977C2semidirect
13. #20274963C2semidirect
14. #20274587C2semidirect
15. C53×#1763C2semidirect
24. #16810823C4semidirect
72. C2×#11719924C2×C4semidirect
73. C2×#11719924C2×C4semidirect
107. C4⋊#88322C2×C4semidirect
112. #13133137C2×C4semidirect
113. #13133137C2×C4semidirect
126. C4×Q8×C53C2×C4semidirect
135. #103×C53D4semidirect
248. Q8×C53C4×D4semidirect
359. #1763D53semidirect
415. C53#23010semidirect
440. C4×Q8C4×D53semidirect
475. #103D212semidirect
602. Q8C4×D212semidirect

Maximal subgroups

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

subgroupindex
C2×#168108232
C2×#168107262
C2×#168107082
#202777792
#202776362
#202755392
#202754832
#202754132
#202753992
#202750682
#202749772
#202749632
#202745872
C53×#17632
#2301053