Finite Group Databasebeta

← #27402245

Subgroups — #27402245

Order 13568.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810693C211yesmaximal, characteristic
2C2×#16810662C211yesmaximal, characteristic, complemented
3C2×#106×D53C211yesmaximal, characteristic, complemented
4#20277647C211yesmaximal, characteristic
5#20277615C211yesmaximal, characteristic
6#20275485C211yesmaximal, characteristic, complemented
7#20274913C211yesmaximal, characteristic, complemented
8#20274909C211yesmaximal, characteristic, complemented
9#20274906C211yesmaximal, characteristic, complemented
10#20274904C211yesmaximal, characteristic, complemented
11#20274881C211yesmaximal, characteristic, complemented
12#20274747C211yesmaximal, characteristic, complemented
13#20274743C211yesmaximal, characteristic, complemented
14#20274613C211yesmaximal, characteristic, complemented
15C53×#1948C211yesmaximal, characteristic, complemented
16C22×#11719912C2211yescharacteristic
17C22×C8×D53C2211yescharacteristic
18C2×C4×D212C2211yescharacteristic
19C2×#13133179—21no—
20C2×#13133175C2211yescharacteristic
21C2×C4⋊C4×D53C2211yescharacteristic
22C2×C4⋊C4×D53C2211yescharacteristic
23C2×C4⋊C4×D53C2211yescharacteristic
24#16810693C418yescomplemented
25#16810662—24no—
26C2×#13133151C2211yescharacteristic
27C2×#13133150C2211yescharacteristic
28C2×#13133150C2211yescharacteristic
29C2×#13133150C2211yescharacteristic
30C2×#13133149C2211yescharacteristic
31C2×#13133148C2211yescharacteristic
32C2×#13133148C2211yescharacteristic
33C2×#13133148C2211yescharacteristic
34#106×D53—24no—
35C2×#13133129C2211yescharacteristic
36C2×#13133129C2211yescharacteristic
37C2×#13133128C2211yescharacteristic
38#16810519—21no—
39#16810514—21no—
40#16810508—21no—
41#16810501—21no—
42#16810494—21no—
43#16810494—21no—
44#16810489C2211yescharacteristic
45#16810480C2211yescharacteristic
46#16810480C2211yescharacteristic
47#16810480C2211yescharacteristic
48#16810480C2211yescharacteristic
49C4×C4⋊Dic53C2211yescharacteristic
50C4×#11719921—21no—
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810385C2211yescharacteristic
55C2×#106×C53C2211yescharacteristic
56C2×#106×C53C2211yescharacteristic
57C2×C4⋊C8×C53C2211yescharacteristic
58C53×#384C2211yescharacteristic
59C4×C4⋊C4×C53C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×D212D411yescharacteristic
63C22×C4×D53—21no—
64C22×C4×D53—21no—
65C22×C4×D53—21no—
66C22×C4×D53C2311yescharacteristic
67C22×C4×D53C2311yescharacteristic
68C2×#11719912—22no—
69C2×#11719912—22no—
70C2×#11719912C2×C414yescomplemented
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C2×C8×D53—22no—
74C2×C8×D53—22no—
75C2×C8×D53C2×C414yescomplemented
76C4×D212C2×C414yes—
77C4×D212Q814yes—
78#13133179—44no—
79#13133175—22no—
80#13133175—41no—
81C2×C4⋊Dic53D411yescharacteristic
82C2×C4⋊Dic53C2311yescharacteristic
83C2×C4⋊Dic53C2311yescharacteristic
84C2×C4⋊Dic53C2311yescharacteristic
85C2×C4⋊Dic53C2311yescharacteristic
86C2×#11719919—21no—
87C2×#11719919—21no—
88C2×#11719919—21no—
89C4⋊C4×D53—22no—
90C4⋊C4×D53—22no—
91C4⋊C4×D53—22no—
92C4⋊C4×D53—41no—
93C4⋊C4×D53—41no—
94C4⋊C4×D53—41no—
95C2×#11719921—21no—
96C2×#11719921—21no—
97C2×#11719921—21no—
98C2×#11719921—21no—
99C2×#11719921—21no—
100C2×#11719921D411yescharacteristic
101C2×#11719921D411yescharacteristic
102C2×C4×Dic53—21no—
103C2×C4×Dic53—21no—
104#13133151—22no—
105#13133150—22no—
106#13133150—22no—
107#13133150—41no—
108#13133149—22no—
109#13133148—22no—
110#13133148—41no—
111#13133148D414yescomplemented
112#13133129C2×C414yescomplemented
113#13133129C2×C414yescomplemented
114#13133128C2×C414yescomplemented
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119#13133124—21no—
120#13133124—21no—
121#13133124—21no—
122C22×C8×C53C2311yescharacteristic
123C22×C8×C53C2311yescharacteristic
124C2×C4⋊C4×C53—21no—
125C2×C4⋊C4×C53—21no—
126C2×C4⋊C4×C53C2311yescharacteristic
127C2×C4⋊C4×C53C2311yescharacteristic
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C42×C53—21no—
131C2×C42×C53C2311yescharacteristic
132#106×C53—22no—
133#106×C53—22no—
134C4⋊C8×C53C2×C414yescomplemented
135#95×C53—21no—
136C23×D53C2×D411yescharacteristic
137C23×D53C2×D411yescharacteristic
138C22×C4×C53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53C2×D411yescharacteristic
143C22×C4×C53C2×D411yescharacteristic
144C22×C4×C53C2411yescharacteristic
145C22×Dic53—21no—
146C22×Dic53—21no—
147C22×Dic53—21no—
148C22×Dic53—21no—
149C22×Dic53C2×D411yescharacteristic
150C22×Dic53C2×D411yescharacteristic
151C2×D212—22no—
152C2×D212—22no—
153C2×D212C4⋊C414yes—
154C2×C4×D53—21no—
155C2×C4×D53—21no—
156C2×C4×D53—21no—
157C2×C4×D53—21no—
158C2×C4×D53—21no—
159C2×C4×D53—21no—
160C2×C4×D53—21no—
161C2×C4×D53—21no—
162C2×C4×D53—42no—
163C2×C4×D53—42no—
164C2×C4×D53—42no—
165C2×C4×D53—42no—
166C2×C4×D53—42no—
167C2×C4×D53—42no—
168C2×C4×D53—81no—
169C2×C4×D53—81no—
170C2×C4×D53—81no—
171C2×C4×D53C22×C412yes—
172C2×C4×D53C22×C412yes—
173C2×C4×D53C2×Q812yes—
174C2×C4×D53C2×Q812yes—
175C2×C8×C53—21no—
176C2×C8×C53—21no—
177C2×C8×C53—21no—
178C2×C8×C53—21no—
179C2×C8×C53C22×C412yes—
180C2×C8×C53C22×C412yes—
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—42no—
189C4⋊C4×C53—81no—
190C4⋊C4×C53C2×D412yes—
191C42×C53—81no—
192C42×C53C22×C412yes—
193C42×C53C2×Q812yes—
194#11719921—42no—
195#11719921—42no—
196#11719921—42no—
197#11719921—42no—
198#11719921—81no—
199#11719921C4⋊C414yes—
200#11719921C4⋊C414yes—
201C4⋊Dic53—21no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53C4⋊C414yes—
209C4⋊Dic53C2×D412yes—
210#11719919—42no—
211#11719919—42no—
212#11719919—42no—
213C4×Dic53—42no—
214C4×Dic53—42no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322C22×C412yes—
218C2×#88322C22×C412yes—
219C2×#88322C2×D412yes—
220C2×#88322#4112yes—
221#11719912—28no—
222C8×D53—28no—
223C23×C53C22×D411yescharacteristic
224C22×D53—21no—
225C22×D53—21no—
226C22×D53—21no—
227C22×D53—21no—
228C22×D53—21no—
229C22×D53—21no—
230C22×D53—21no—
231C22×D53—21no—
232C22×D53—21no—
233C22×D53—21no—
234C22×D53C2×C4⋊C412yes—
235C22×D53C2×C4⋊C412yes—
236C22×D53AGL(1,ℤ/8)12yes—
237C22×D53#13712yes—
238C2×C4×C53—21no—
239C2×C4×C53—21no—
240C2×C4×C53—21no—
241C2×C4×C53—21no—
242C2×C4×C53—22no—
243C2×C4×C53—41no—
244C2×C4×C53—41no—
245C2×C4×C53—41no—
246C2×C4×C53—41no—
247C2×C4×C53—41no—
248C2×C4×C53—41no—
249C2×C4×C53—41no—
250C2×C4×C53—41no—
251C2×C4×C53—41no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53C2×C4⋊C412yes—
255C2×C4×C53C2×C4⋊C412yes—
256C2×C4×C53C23×C411yescharacteristic
257C2×C4×C53C22×D411yescharacteristic
258C2×C4×C53C22×Q811yescharacteristic
259C2×C4×C53C2×#4111yescharacteristic
260C2×C4×C53H(5,𝔽2)11yescharacteristic
261C2×C4×C532−1+411yescharacteristic
262C2×Dic53—21no—
263C2×Dic53—21no—
264C2×Dic53—21no—
265C2×Dic53—21no—
266C2×Dic53—22no—
267C2×Dic53—41no—
268C2×Dic53—41no—
269C2×Dic53—41no—
270C2×Dic53—41no—
271C2×Dic53—41no—
272C2×Dic53—41no—
273C2×Dic53—41no—
274C2×Dic53—41no—
275C2×Dic53—41no—
276C2×Dic53—41no—
277C2×Dic53—41no—
278C2×Dic53C2×C4⋊C412yes—
279C2×Dic53C2×C4⋊C412yes—
280D212—28no—
281C4×D53—22no—
282C4×D53—22no—
283C4×D53—22no—
284C4×D53—22no—
285C4×D53—22no—
286C4×D53—22no—
287C4×D53—22no—
288C4×D53—22no—
289C4×D53—84no—
290C4×D53—84no—
291C4×D53—84no—
292C8×C53—22no—
293C8×C53—22no—
294#88322—22no—
295#88322C4×D414yescomplemented
296#22659—531nomaximal, Sylow
297C22×C53C22×C4⋊C411yescharacteristic
298C22×C53D4211yescharacteristic
299C22×C53#54711yescharacteristic
300C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
301C22×C53C2×#13711yescharacteristic
302C22×C53#57711yescharacteristic
303C22×C53#57711yescharacteristic
304C2×D53—22no—
305C2×D53—22no—
306C2×D53—22no—
307C2×D53—22no—
308C2×D53—22no—
309C2×D53—22no—
310C2×D53—22no—
311C2×D53—22no—
312C2×D53—22no—
313C2×D53—41no—
314C2×D53—41no—
315C2×D53—41no—
316C2×D53—41no—
317C2×D53#42814yescomplemented
318C4×C53—22no—
319C4×C53—22no—
320C4×C53—42no—
321C4×C53—81no—
322C4×C53—81no—
323C4×C53—81no—
324C4×C53C2×C4×D411yescharacteristic
325C4×C53#52011yescharacteristic
326C4×C53D4×Q811yescharacteristic
327C4×C53#55411yescharacteristic
328Dic53—22no—
329Dic53—22no—
330Dic53—42no—
331Dic53—81no—
332Dic53—81no—
333Dic53—81no—
334C2×#435—531no—
335C2×#428—531no—
336C22×#106—531no—
337#2352—531no—
338D4×C4⋊C4—531no—
339#1949—531no—
340#1948D5311yescharacteristic, complemented
341#1854—531no—
342#1853—531no—
343#1853—531no—
344#1852—531no—
345#1847—531no—
346#1809—531no—
347#1808—531no—
348#1776—531no—
349C2×C53D4×C4⋊C411yescharacteristic
350C2×C53C2×#42811yescharacteristic
351C2×C53#291211yescharacteristic
352C2×C53#326511yescharacteristic
353C2×C53#326611yescharacteristic
354C2×C53#334411yescharacteristic
355C2×C53#334511yescharacteristic
356D53—24no—
357D53—42no—
358C22×M16—531no—
359C23×C8—531no—
360C2×C4×D4—531no—
361C2×C4×D4—1061no—
362C2×#117—531no—
363C22×C4⋊C4—531no—
364C22×C4⋊C4—531no—
365C22×C4⋊C4—531no—
366#435—538no—
367#428—1064no—
368C2×#107—531no—
369C2×#107—531no—
370C2×#107—531no—
371C2×#107—531no—
372C2×#106—531no—
373C2×#106—531no—
374C2×#106—531no—
375C2×#106—531no—
376C2×#106—1064no—
377C2×#106C2×D5311yescharacteristic
378C2×#106C2×D5311yescharacteristic
379C2×C4⋊C8C2×D5311yescharacteristic
380C2×C22⋊C8—531no—
381C2×C22⋊C8—531no—
382C2×#97—531no—
383#389—1061no—
384#388—1061no—
385#387—1061no—
386#386—1061no—
387#385—1061no—
388#385—1061no—
389#384C2×D5311yescharacteristic
390#382—531no—
391#380—531no—
392#380—531no—
393#380—531no—
394#380—531no—
395C4×C4⋊C4—531no—
396C4×C4⋊C4C2×D5311yescharacteristic
397C4×C22⋊C4—1061no—
398#340—531no—
399#340—531no—
400#340—531no—
401#340—531no—
402#340C2×D5311yescharacteristic
403#340C2×D5311yescharacteristic
404C53#2265911yescharacteristic, complemented, Sylow
405C22×D4—531no—
406C23×C4—531no—
407C23×C4—531no—
408C23×C4—1061no—
409C23×C4—1061no—
410C23×C4—1061no—
411C2×M16—534no—
412C2×M16—1062no—
413C2×M16—1062no—
414C22×C8—531no—
415C22×C8—531no—
416C22×C8—534no—
417C22×C8—1062no—
418C22×C8—1062no—
419C22×C8C22×D5311yescharacteristic
420C22×C8C22×D5311yescharacteristic
421C4×D4—534no—
422C4×D4—534no—
423C4×D4—2124no—
424#117—1062no—
425#117—2121no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—531no—
429C2×C4⋊C4—531no—
430C2×C4⋊C4—531no—
431C2×C4⋊C4—531no—
432C2×C4⋊C4—531no—
433C2×C4⋊C4—1062no—
434C2×C4⋊C4—1062no—
435C2×C4⋊C4—1062no—
436C2×C4⋊C4—1061no—
437C2×C4⋊C4—1061no—
438C2×C4⋊C4—1061no—
439C2×C4⋊C4—2121no—
440C2×C4⋊C4—2121no—
441C2×C4⋊C4—2121no—
442C2×C4⋊C4C22×D5311yescharacteristic
443C2×C4⋊C4C22×D5311yescharacteristic
444C2×C4⋊C4C22×D5311yescharacteristic
445C2×C4⋊C4C22×D5311yescharacteristic
446C2×C22⋊C4—531no—
447C2×C22⋊C4—531no—
448C2×C22⋊C4—1061no—
449C2×C22⋊C4—1061no—
450C2×C22⋊C4—1061no—
451C2×C22⋊C4—1061no—
452C2×C22⋊C4—1061no—
453C2×C42—21no—
454C2×C42—1061no—
455C2×C42—1061no—
456C2×C42C22×D5311yescharacteristic
457#107—1062no—
458#107—1062no—
459#107—1062no—
460#107—2121no—
461#106—22no—
462#106—22no—
463#106—534no—
464#106—1062no—
465#106—1062no—
466#106—2121no—
467C4⋊C8C4×D5314yescomplemented
468C22⋊C8—534no—
469C22⋊C8—534no—
470#97—534no—
471#95—21no—
472#95—1061no—
473#95—1061no—
474#95—1061no—
475#95—1061no—
476#95—1061no—
477#95—1061no—
478#95—1061no—
479C24—531no—
480C24—531no—
481C2×D4—534no—
482C2×D4—1062no—
483C2×D4—1062no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—531no—
489C22×C4—531no—
490C22×C4—532no—
491C22×C4—532no—
492C22×C4—532no—
493C22×C4—532no—
494C22×C4—1061no—
495C22×C4—1061no—
496C22×C4—1061no—
497C22×C4—1061no—
498C22×C4—1061no—
499C22×C4—1061no—
500C22×C4—1061no—
501C22×C4—1061no—
502C22×C4—1061no—
503C22×C4—1061no—
504C22×C4—1061no—
505C22×C4—1061no—
506C22×C4—4241no—
507C22×C4—4241no—
508C22×C4—4241no—
509C22×C4—2122no—
510C22×C4—2122no—
511C22×C4—2122no—
512C22×C4—2122no—
513C22×C4—2122no—
514C22×C4—2122no—
515C22×C4D4×D5311yescharacteristic
516C22×C4D4×D5311yescharacteristic
517C22×C4C23×D5311yescharacteristic
518M16—1068no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—532no—
524C2×C8—532no—
525C2×C8—532no—
526C2×C8—532no—
527C2×C8—1068no—
528C2×C8—1061no—
529C2×C8—1061no—
530C2×C8C2×C4×D5312yes—
531C2×C8C2×C4×D5312yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—42no—
540C4⋊C4—81no—
541C4⋊C4—534no—
542C4⋊C4—532no—
543C4⋊C4—1061no—
544C4⋊C4—1061no—
545C4⋊C4—1061no—
546C4⋊C4—1061no—
547C4⋊C4—1061no—
548C4⋊C4—1061no—
549C4⋊C4—1061no—
550C4⋊C4—2122no—
551C4⋊C4—2122no—
552C4⋊C4—2122no—
553C4⋊C4D4×D5312yes—
554C22⋊C4—534no—
555C22⋊C4—534no—
556C22⋊C4—4241no—
557C22⋊C4—2122no—
558C22⋊C4—2122no—
559C22⋊C4—2122no—
560C22⋊C4—2122no—
561C42—81no—
562C42—2122no—
563C42—2122no—
564C42C2×C4×D5312yes—
565C42Q8×D5312yes—
566C23—532no—
567C23—532no—
568C23—532no—
569C23—532no—
570C23—1061no—
571C23—1061no—
572C23—1061no—
573C23—1061no—
574C23—1061no—
575C23—1061no—
576C23—1061no—
577C23—1061no—
578C23—1061no—
579C23—1061no—
580C23C2×D4×D5311yescharacteristic
581D4—1068no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—532no—
599C2×C4—532no—
600C2×C4—1061no—
601C2×C4—1061no—
602C2×C4—1061no—
603C2×C4—1061no—
604C2×C4—1062no—
605C2×C4—1062no—
606C2×C4—1062no—
607C2×C4—1062no—
608C2×C4—1062no—
609C2×C4—1062no—
610C2×C4—1062no—
611C2×C4—1062no—
612C2×C4—1062no—
613C2×C4—4244no—
614C2×C4—4244no—
615C2×C4—4244no—
616C2×C4—2121no—
617C2×C4—2121no—
618C2×C4—2121no—
619C2×C4—2121no—
620C2×C4—2121no—
621C2×C4—2121no—
622C2×C4—2121no—
623C2×C4—2121no—
624C2×C4—2121no—
625C2×C4—2121no—
626C2×C4—2121no—
627C2×C4C4⋊C4×D5312yes—
628C2×C4C4⋊C4×D5312yes—
629C2×C4C22×C4×D5311yescharacteristic
630C2×C4C2×D4×D5311yescharacteristic
631C2×C4C2×Q8×D5311yescharacteristic
632C2×C4#41×D5311yescharacteristic
633C2×C4#1313326311yescharacteristic
634C2×C4#1313326511yescharacteristic
635C8—22no—
636C8—22no—
637C8—534no—
638C8—1062no—
639C22—534no—
640C22—1062no—
641C22—1062no—
642C22—1062no—
643C22—1062no—
644C22—1062no—
645C22—1062no—
646C22—1062no—
647C22—1062no—
648C22—1062no—
649C22—2121no—
650C22—2121no—
651C22—2121no—
652C22—2121no—
653C22C2×C4⋊C4×D5311yescharacteristic
654C22#1681125711yescharacteristic
655C22#1681127511yescharacteristic
656C22AGL(1,ℤ/8)×D5311yescharacteristic
657C22#137×D5311yescharacteristic
658C22#1681142911yescharacteristic
659C22#1681142911yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—1062no—
667C4—1062no—
668C4—4241no—
669C4—4241no—
670C4—4241no—
671C4—2122no—
672C4C4×D4×D5311yescharacteristic
673C4#1681110511yescharacteristic
674C4#1681128811yescharacteristic
675C4#1681132911yescharacteristic
676C2—1064no—
677C2—2122no—
678C2#2027761611yescharacteristic
679C2#428×D5311yescharacteristic
680C2#2028330611yescharacteristic
681C2#2028620511yescharacteristic
682C2#2028623111yescharacteristic
683C2#2028716711yescharacteristic
684C2#2028719211yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1948C2
socleC23×C53C22×D4
prime radicalC22×D212D4
cosocleC22×C4×C53C24
hypercenter#1948D53
hypocenterC53#22659
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1948

Complements

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

NH ≅ G/Ntype
2. C2×#16810662C2semidirect
3. C2×#106×D53C2semidirect
6. #20275485C2semidirect
7. #20274913C2semidirect
8. #20274909C2semidirect
9. #20274906C2semidirect
10. #20274904C2semidirect
11. #20274881C2semidirect
12. #20274747C2semidirect
13. #20274743C2semidirect
14. #20274613C2semidirect
15. C53×#1948C2semidirect
24. #16810693C4semidirect
70. C2×#11719912C2×C4semidirect
75. C2×C8×D53C2×C4semidirect
111. #13133148D4semidirect
112. #13133129C2×C4semidirect
113. #13133129C2×C4semidirect
114. #13133128C2×C4semidirect
134. C4⋊C8×C53C2×C4semidirect
295. #88322C4×D4semidirect
317. C2×D53#428semidirect
340. #1948D53semidirect
404. C53#22659semidirect
467. C4⋊C8C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168106932
C2×#168106622
C2×#106×D532
#202776472
#202776152
#202754852
#202749132
#202749092
#202749062
#202749042
#202748812
#202747472
#202747432
#202746132
C53×#19482
#2265953