Finite Group Databasebeta

← #27402324

Subgroups — #27402324

Order 13568.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810698C211yesmaximal, characteristic
2C2×#16810664C211yesmaximal, characteristic, complemented
3C2×#16810663C211yesmaximal, characteristic, complemented
4#20277659C211yesmaximal, characteristic
5C4⋊C4×C22⋊D53C211yesmaximal, characteristic
6#20275477C211yesmaximal, characteristic, complemented
7#20275470C211yesmaximal, characteristic, complemented
8#20274916C211yesmaximal, characteristic, complemented
9#20274911C211yesmaximal, characteristic, complemented
10#20274904C211yesmaximal, characteristic, complemented
11#20274873C211yesmaximal, characteristic, complemented
12#20274747C211yesmaximal, characteristic, complemented
13#20274746C211yesmaximal, characteristic, complemented
14#20274603C211yesmaximal, characteristic, complemented
15C53×#1852C211yesmaximal, characteristic, complemented
16C22×#11719917C2211yescharacteristic
17C22×#11719912C2211yescharacteristic
18C2×C4×C22⋊D53—21no—
19C2×C4×C22⋊D53C2211yescharacteristic
20C2×#13133176C2211yescharacteristic
21C2×#13133175C2211yescharacteristic
22C2×C4⋊C4×D53C2211yescharacteristic
23#16810698C418yescomplemented
24#16810664—24no—
25#16810663—24no—
26C2×#13133151C2211yescharacteristic
27C2×#13133150C2211yescharacteristic
28C2×#13133150C2211yescharacteristic
29C2×#13133150C2211yescharacteristic
30C2×#13133149C2211yescharacteristic
31C2×#13133148C2211yescharacteristic
32C2×#13133148C2211yescharacteristic
33C2×#13133148C2211yescharacteristic
34C2×#13133146C2211yescharacteristic
35C2×#13133129C2211yescharacteristic
36C2×C8×Dic53C2211yescharacteristic
37#16810523—21no—
38#16810518—21no—
39#16810517—21no—
40#16810512—21no—
41#16810496—21no—
42#16810494—21no—
43#16810492C2211yescharacteristic
44#16810492C2211yescharacteristic
45#16810483C2211yescharacteristic
46#16810480C2211yescharacteristic
47#16810480C2211yescharacteristic
48C4⋊C4×Dic53C2211yescharacteristic
49C4⋊C4×Dic53C2211yescharacteristic
50#16810474—21no—
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810385C2211yescharacteristic
55C22×C4⋊C4×C53C2211yescharacteristic
56C2×#107×C53C2211yescharacteristic
57C2×#107×C53C2211yescharacteristic
58C2×C22⋊C8×C53C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×C22⋊D53D411yescharacteristic
63C22×C4×D53—21no—
64C22×C4×D53C2311yescharacteristic
65C2×#11719917—22no—
66C2×#11719917—22no—
67C2×#11719917C2×C414yescomplemented
68C2×#11719912—22no—
69C2×#11719912—22no—
70C2×#11719912C2×C414yescomplemented
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C4×C22⋊D53—44no—
74C4×C22⋊D53C2×C414yes—
75C4×C22⋊D53Q814yes—
76#13133176—22no—
77#13133176—41no—
78#13133175—22no—
79#13133175—41no—
80C2×C4⋊Dic53C2311yescharacteristic
81C2×C4⋊Dic53C2311yescharacteristic
82C2×C4⋊Dic53C2311yescharacteristic
83C2×C4⋊Dic53C2311yescharacteristic
84C2×#11719919—21no—
85C2×#11719919—21no—
86C2×#11719919—21no—
87C2×#11719919—21no—
88C2×#11719919—21no—
89C2×#11719919D411yescharacteristic
90C4⋊C4×D53—22no—
91C4⋊C4×D53—41no—
92C2×C22⋊Dic53—21no—
93C2×C22⋊Dic53—21no—
94C2×C22⋊Dic53D411yescharacteristic
95C2×#11719921—21no—
96C2×#11719921—21no—
97C2×#11719921—21no—
98C2×#11719921D411yescharacteristic
99C2×C4×Dic53—21no—
100C2×C4×Dic53—21no—
101C2×C4×Dic53—21no—
102C2×C4×Dic53—21no—
103C2×C4×Dic53C2311yescharacteristic
104#13133151—41no—
105#13133150—22no—
106#13133150—22no—
107#13133150—22no—
108#13133149—22no—
109#13133148—22no—
110#13133148—22no—
111#13133148D414yescomplemented
112#13133146C2×C414yescomplemented
113#13133129C2×C414yescomplemented
114C8×Dic53C2×C414yescomplemented
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119#13133124—21no—
120C23×C4×C53—21no—
121C23×C4×C53C2311yescharacteristic
122C22×C8×C53C2311yescharacteristic
123C22×C8×C53C2311yescharacteristic
124C2×C4⋊C4×C53—21no—
125C2×C4⋊C4×C53—22no—
126C2×C4⋊C4×C53—41no—
127C2×C4⋊C4×C53C2311yescharacteristic
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C4⋊C4×C53C2311yescharacteristic
131C2×C22⋊C4×C53—21no—
132#107×C53—22no—
133#107×C53—41no—
134C22⋊C8×C53C2×C414yescomplemented
135#95×C53—21no—
136C24×C53C2×D411yescharacteristic
137C23×D53C2×D411yescharacteristic
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—42no—
147C22×C4×C53—42no—
148C22×C4×C53—81no—
149C22×C4×C53C22×C412yes—
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×Q812yes—
152C22×C4×C53C2411yescharacteristic
153C2×C22⋊D53—22no—
154C2×C22⋊D53—22no—
155C2×C22⋊D53C4⋊C414yes—
156C22×Dic53—21no—
157C22×Dic53—21no—
158C22×Dic53—21no—
159C22×Dic53—21no—
160C22×Dic53C2×D411yescharacteristic
161C22×Dic53C2×D411yescharacteristic
162C22×Dic53C2×D411yescharacteristic
163C2×C4×D53—21no—
164C2×C4×D53—21no—
165C2×C4×D53—21no—
166C2×C4×D53—21no—
167C2×C4×D53—42no—
168C2×C4×D53—42no—
169C2×C4×D53—81no—
170C2×C4×D53C22×C412yes—
171C2×C4×D53C2×Q812yes—
172C2×C8×C53—21no—
173C2×C8×C53—21no—
174C2×C8×C53—21no—
175C2×C8×C53—21no—
176C2×C8×C53C22×C412yes—
177C2×C8×C53C22×C412yes—
178C4⋊C4×C53—21no—
179C4⋊C4×C53—21no—
180C4⋊C4×C53—21no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—42no—
186C4⋊C4×C53C2×D412yes—
187C22⋊C4×C53—81no—
188C22⋊Dic53—42no—
189C22⋊Dic53—42no—
190C22⋊Dic53C4⋊C414yes—
191#11719921—42no—
192#11719921—42no—
193#11719921—81no—
194#11719921C4⋊C414yes—
195C4⋊Dic53—21no—
196C4⋊Dic53—21no—
197C4⋊Dic53—21no—
198C4⋊Dic53—21no—
199C4⋊Dic53—21no—
200C4⋊Dic53—21no—
201C4⋊Dic53—21no—
202C4⋊Dic53C2×D412yes—
203#11719919—42no—
204#11719919—42no—
205#11719919—42no—
206#11719919—81no—
207#11719919—81no—
208#11719919C4⋊C414yes—
209C4×Dic53—42no—
210C4×Dic53—42no—
211C4×Dic53—42no—
212C4×Dic53—42no—
213C4×Dic53C22×C412yes—
214C4×Dic53C2×Q812yes—
215#11719917—28no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322C22×C412yes—
219C2×#88322C22×C412yes—
220C2×#88322C2×D412yes—
221C2×#88322#4112yes—
222#11719912—28no—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53C2×C4⋊C412yes—
230C23×C53C22×D411yescharacteristic
231C22×D53—21no—
232C22×D53—21no—
233C22×D53—21no—
234C22×D53—21no—
235C22×D53—21no—
236C22×D53—21no—
237C22×D53C2×C4⋊C412yes—
238C2×C4×C53—21no—
239C2×C4×C53—21no—
240C2×C4×C53—22no—
241C2×C4×C53—22no—
242C2×C4×C53—22no—
243C2×C4×C53—22no—
244C2×C4×C53—22no—
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×C53—41no—
255C2×C4×C53—41no—
256C2×C4×C53—84no—
257C2×C4×C53C2×C4⋊C412yes—
258C2×C4×C53C23×C411yescharacteristic
259C2×C4×C53C22×D411yescharacteristic
260C2×C4×C53C22×Q811yescharacteristic
261C2×C4×C53C2×#4111yescharacteristic
262C2×C4×C53H(5,𝔽2)11yescharacteristic
263C2×C4×C532−1+411yescharacteristic
264C22⋊D53—28no—
265C2×Dic53—21no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—22no—
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×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53C2×C4⋊C412yes—
282C2×Dic53C2×C4⋊C412yes—
283C2×Dic53C2×C4⋊C412yes—
284C2×Dic53AGL(1,ℤ/8)12yes—
285C2×Dic53#13712yes—
286C4×D53—22no—
287C4×D53—22no—
288C4×D53—22no—
289C4×D53—22no—
290C4×D53—84no—
291C8×C53—22no—
292C8×C53—22no—
293#88322—22no—
294#88322C4×D414yescomplemented
295#22665—531nomaximal, Sylow
296C22×C53—22no—
297C22×C53—22no—
298C22×C53—22no—
299C22×C53—41no—
300C22×C53—41no—
301C22×C53—41no—
302C22×C53—41no—
303C22×C53C22×C4⋊C411yescharacteristic
304C22×C53D4211yescharacteristic
305C22×C53#54711yescharacteristic
306C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C53C2×#13711yescharacteristic
308C22×C53#57611yescharacteristic
309C22×C53#57811yescharacteristic
310C2×D53—22no—
311C2×D53—22no—
312C2×D53—22no—
313C2×D53—41no—
314C2×D53—41no—
315C2×D53—41no—
316C2×D53—41no—
317C4×C53—22no—
318C4×C53—42no—
319C4×C53—81no—
320C4×C53—81no—
321C4×C53—81no—
322C4×C53C2×C4×D411yescharacteristic
323C4×C53#52011yescharacteristic
324C4×C53D4×Q811yescharacteristic
325C4×C53#55411yescharacteristic
326Dic53—22no—
327Dic53—22no—
328Dic53—42no—
329Dic53—81no—
330Dic53—81no—
331Dic53—81no—
332Dic53#42814yescomplemented
333C2×#436—531no—
334C2×#428—531no—
335C2×#428—531no—
336#2354—531no—
337D4×C4⋊C4—531no—
338#1948—531no—
339#1947—531no—
340#1854—531no—
341#1854—531no—
342#1852—531no—
343#1852D5311yescharacteristic, complemented
344#1845—531no—
345#1809—531no—
346#1809—531no—
347C4×#106—531no—
348C2×C53—42no—
349C2×C53D4×C4⋊C411yescharacteristic
350C2×C53C2×#42811yescharacteristic
351C2×C53#291311yescharacteristic
352C2×C53#327411yescharacteristic
353C2×C53#327611yescharacteristic
354C2×C53#335311yescharacteristic
355C2×C53#335711yescharacteristic
356D53—42no—
357C22×M16—531no—
358C22×M16—531no—
359C2×C4×D4—531no—
360C2×C4×D4—1061no—
361C2×#117—531no—
362C2×#117—531no—
363C22×C4⋊C4—531no—
364C22×C4⋊C4C2×D5311yescharacteristic
365#436—538no—
366#428—1064no—
367#428—1064no—
368C2×#107—531no—
369C2×#107—531no—
370C2×#107—531no—
371C2×#107—531no—
372C2×#107C2×D5311yescharacteristic
373C2×#107C2×D5311yescharacteristic
374C2×#106—531no—
375C2×#106—531no—
376C2×#106—531no—
377C2×#106—531no—
378C2×C4⋊C8—531no—
379C2×C22⋊C8—531no—
380C2×C22⋊C8C2×D5311yescharacteristic
381C2×C4×C8—531no—
382#390—1061no—
383#389—1061no—
384#388—1061no—
385#388—1061no—
386#385—1061no—
387#385—1061no—
388#384—531no—
389#384—531no—
390#380—531no—
391#380—531no—
392#380—531no—
393#380C2×D5311yescharacteristic
394C4×C4⋊C4—531no—
395C4×C4⋊C4—531no—
396C4×C4⋊C4—1061no—
397#340—531no—
398#340—531no—
399#340—531no—
400#340—531no—
401#340C2×D5311yescharacteristic
402#340C2×D5311yescharacteristic
403C53#2266511yescharacteristic, complemented, Sylow
404C22×D4—531no—
405C23×C4—21no—
406C23×C4—531no—
407C23×C4—1061no—
408C23×C4C22×D5311yescharacteristic
409C2×M16—534no—
410C2×M16—534no—
411C2×M16—1062no—
412C2×M16—1062no—
413C2×M16—1062no—
414C2×M16—1062no—
415C22×C8—531no—
416C22×C8—531no—
417C22×C8C22×D5311yescharacteristic
418C22×C8C22×D5311yescharacteristic
419C4×D4—534no—
420C4×D4—534no—
421C4×D4—2124no—
422#117—1062no—
423#117—1062no—
424#117—2121no—
425#117—2121no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—531no—
430C2×C4⋊C4—531no—
431C2×C4⋊C4—531no—
432C2×C4⋊C4—531no—
433C2×C4⋊C4—531no—
434C2×C4⋊C4—1062no—
435C2×C4⋊C4—1061no—
436C2×C4⋊C4—1061no—
437C2×C4⋊C4—1061no—
438C2×C4⋊C4—1061no—
439C2×C4⋊C4—1061no—
440C2×C4⋊C4—2121no—
441C2×C4⋊C4C22×D5311yescharacteristic
442C2×C4⋊C4C22×D5311yescharacteristic
443C2×C4⋊C4C22×D5311yescharacteristic
444C2×C4⋊C4C22×D5311yescharacteristic
445C2×C22⋊C4—21no—
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—531no—
454C2×C42—1061no—
455C2×C42—1061no—
456C2×C42—1061no—
457C2×C42—1061no—
458#107—22no—
459#107—41no—
460#107—1062no—
461#107—1062no—
462#107—1062no—
463#107—2121no—
464#106—534no—
465#106—1062no—
466#106—1062no—
467#106—1062no—
468C4⋊C8—534no—
469C22⋊C8—534no—
470C22⋊C8C4×D5314yescomplemented
471C4×C8—534no—
472#95—21no—
473#95—1061no—
474#95—1061no—
475#95—1061no—
476#95—1061no—
477#95—1061no—
478C24—531no—
479C24D4×D5311yescharacteristic
480C2×D4—534no—
481C2×D4—1062no—
482C2×D4—1062no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—531no—
495C22×C4—531no—
496C22×C4—531no—
497C22×C4—532no—
498C22×C4—532no—
499C22×C4—1061no—
500C22×C4—1061no—
501C22×C4—1061no—
502C22×C4—1061no—
503C22×C4—1061no—
504C22×C4—1061no—
505C22×C4—1061no—
506C22×C4—1061no—
507C22×C4—4241no—
508C22×C4—2122no—
509C22×C4—2122no—
510C22×C4C2×C4×D5312yes—
511C22×C4D4×D5311yescharacteristic
512C22×C4Q8×D5312yes—
513C22×C4C23×D5311yescharacteristic
514M16—1068no—
515M16—1068no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—532no—
521C2×C8—532no—
522C2×C8—532no—
523C2×C8—532no—
524C2×C8—1061no—
525C2×C8—1061no—
526C2×C8C2×C4×D5312yes—
527C2×C8C2×C4×D5312yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—42no—
536C4⋊C4—534no—
537C4⋊C4—532no—
538C4⋊C4—1061no—
539C4⋊C4—1061no—
540C4⋊C4—1061no—
541C4⋊C4—1061no—
542C4⋊C4—1061no—
543C4⋊C4—1061no—
544C4⋊C4—1061no—
545C4⋊C4—4241no—
546C4⋊C4—4241no—
547C4⋊C4—2122no—
548C4⋊C4—2122no—
549C4⋊C4—2122no—
550C4⋊C4D4×D5312yes—
551C22⋊C4—81no—
552C22⋊C4—534no—
553C22⋊C4—534no—
554C22⋊C4—4241no—
555C22⋊C4—2122no—
556C22⋊C4—2122no—
557C22⋊C4—2122no—
558C22⋊C4—2122no—
559C42—532no—
560C42—532no—
561C42—2122no—
562C42—2122no—
563C42—2122no—
564C42—2122no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—532no—
572C23—1061no—
573C23—1061no—
574C23—1061no—
575C23—1061no—
576C23—1061no—
577C23—1061no—
578C23C4⋊C4×D5312yes—
579C23C2×D4×D5311yescharacteristic
580D4—1068no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
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—41no—
599C2×C4—84no—
600C2×C4—532no—
601C2×C4—532no—
602C2×C4—532no—
603C2×C4—532no—
604C2×C4—532no—
605C2×C4—1061no—
606C2×C4—1061no—
607C2×C4—1061no—
608C2×C4—1061no—
609C2×C4—1062no—
610C2×C4—1062no—
611C2×C4—1062no—
612C2×C4—1062no—
613C2×C4—1062no—
614C2×C4—4244no—
615C2×C4—2121no—
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×C4C4⋊C4×D5312yes—
627C2×C4C22×C4×D5311yescharacteristic
628C2×C4C2×D4×D5311yescharacteristic
629C2×C4C2×Q8×D5311yescharacteristic
630C2×C4#41×D5311yescharacteristic
631C2×C4#1313326211yescharacteristic
632C2×C4#1313326411yescharacteristic
633C8—22no—
634C8—22no—
635C8—534no—
636C8—1062no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—1062no—
645C22—1062no—
646C22—1062no—
647C22—2121no—
648C22—2121no—
649C22—2121no—
650C22—2121no—
651C22C2×C4⋊C4×D5311yescharacteristic
652C22#1681125511yescharacteristic
653C22#1681127111yescharacteristic
654C22AGL(1,ℤ/8)×D5311yescharacteristic
655C22#137×D5311yescharacteristic
656C22#1681142411yescharacteristic
657C22#1681143611yescharacteristic
658C4—22no—
659C4—42no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—534no—
664C4—1062no—
665C4—1062no—
666C4—4241no—
667C4—4241no—
668C4—4241no—
669C4—2122no—
670C4C4×D4×D5311yescharacteristic
671C4#1681110211yescharacteristic
672C4#1681128611yescharacteristic
673C4#1681132711yescharacteristic
674C2—42no—
675C2—2122no—
676C2#2027761311yescharacteristic
677C2#428×D5311yescharacteristic
678C2#2028331111yescharacteristic
679C2#2028633311yescharacteristic
680C2#2028635411yescharacteristic
681C2#2028729211yescharacteristic
682C2#2028733411yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1852C2
socleC23×C53C22×D4
prime radicalC22×C22⋊D53D4
cosocleC22×C4×C53C24
hypercenter#1852D53
hypocenterC53#22665
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#16810664C2semidirect
3. C2×#16810663C2semidirect
6. #20275477C2semidirect
7. #20275470C2semidirect
8. #20274916C2semidirect
9. #20274911C2semidirect
10. #20274904C2semidirect
11. #20274873C2semidirect
12. #20274747C2semidirect
13. #20274746C2semidirect
14. #20274603C2semidirect
15. C53×#1852C2semidirect
23. #16810698C4semidirect
67. C2×#11719917C2×C4semidirect
70. C2×#11719912C2×C4semidirect
111. #13133148D4semidirect
112. #13133146C2×C4semidirect
113. #13133129C2×C4semidirect
114. C8×Dic53C2×C4semidirect
134. C22⋊C8×C53C2×C4semidirect
294. #88322C4×D4semidirect
332. Dic53#428semidirect
343. #1852D53semidirect
403. C53#22665semidirect
470. C22⋊C8C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168106982
C2×#168106642
C2×#168106632
#202776592
C4⋊C4×C22⋊D532
#202754772
#202754702
#202749162
#202749112
#202749042
#202748732
#202747472
#202747462
#202746032
C53×#18522
#2266553