Finite Group Databasebeta

← #27383969

Subgroups — #27383969

Order 13568.

2038 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C42×D53C211yesmaximal, characteristic
2C2×#16810675C212yesmaximal, complemented
3#20274782C212yesmaximal, complemented
4#20274695C211yesmaximal, characteristic, complemented
5#20274692C212yesmaximal, complemented
6#20274624C212yesmaximal
7C22⋊C8×Dic53C212yesmaximal, complemented
8#20274472C212yesmaximal, complemented
9C53×#1797C211yesmaximal, characteristic, complemented
10C23×C4×D53C411yescharacteristic
11C23×C4×D53C411yescharacteristic
12C23×C4×D53C2211yescharacteristic
13C22×C4×Dic53C411yescharacteristic
14C22×C4×Dic53C411yescharacteristic
15C22×C4×Dic53C2211yescharacteristic
16C2×C42×D53—28no—
17C2×C42×D53C411yescharacteristic
18C2×C42×D53C411yescharacteristic
19C2×C42×D53C411yescharacteristic
20C2×C42×D53C411yescharacteristic
21C2×C42×D53C2211yescharacteristic
22C2×C42×D53C2211yescharacteristic
23C2×C42×D53C2211yescharacteristic
24C2×C42×D53C2211yescharacteristic
25#16810675—28no—
26C2×C4⋊#88322C2212yescomplemented
27C2×C22⋊#88322C2212yes—
28C2×#13133129C2214yes—
29C2×#13133129C2214yes—
30C2×C8×Dic53C2214yescomplemented
31#16810378C2212yescomplemented
32#16810377C2214yescomplemented
33C22×C42×C53C2211yescharacteristic
34C2×C4⋊C8×C53C2212yescomplemented
35C2×C22⋊C8×C53C2212yes—
36C53×#336C2212yescomplemented
37C24×D53C2×C411yescharacteristic
38C23×Dic53C2×C411yescharacteristic
39C23×Dic53C2×C411yescharacteristic
40C23×Dic53C2×C411yescharacteristic
41C22×C4×D53—22no—
42C22×C4×D53—22no—
43C22×C4×D53—24no—
44C22×C4×D53—24no—
45C22×C4×D53—24no—
46C22×C4×D53—24no—
47C22×C4×D53—24no—
48C22×C4×D53—24no—
49C22×C4×D53—24no—
50C22×C4×D53C818yescomplemented
51C22×C4×D53C2×C411yescharacteristic
52C22×C4×D53C2×C411yescharacteristic
53C22×C4×D53C2×C411yescharacteristic
54C22×C4×D53C2×C411yescharacteristic
55C22×C4×D53C2×C411yescharacteristic
56C22×C4×D53C2×C411yescharacteristic
57C22×C4×D53C2×C411yescharacteristic
58C22×C4×D53C2×C411yescharacteristic
59C22×C4×D53C2×C411yescharacteristic
60C22×C4×D53C2×C411yescharacteristic
61C22×C4×D53C2311yescharacteristic
62C22×C4×D53C2311yescharacteristic
63C22×#88322C2314yes—
64C2×C4×Dic53—24no—
65C2×C4×Dic53—24no—
66C2×C4×Dic53—24no—
67C2×C4×Dic53C2×C411yescharacteristic
68C2×C4×Dic53C2×C411yescharacteristic
69C2×C4×Dic53C2×C411yescharacteristic
70C2×C4×Dic53C2×C411yescharacteristic
71C2×C4×Dic53C2×C411yescharacteristic
72C2×C4×Dic53C2×C411yescharacteristic
73C2×C4×Dic53C2×C411yescharacteristic
74C2×C4×Dic53C2×C411yescharacteristic
75C2×C4×Dic53C2×C411yescharacteristic
76C2×C4×Dic53C2×C411yescharacteristic
77C2×C4×Dic53C2311yescharacteristic
78C2×C4×Dic53C2311yescharacteristic
79C42×D53—24no—
80C42×D53—24no—
81C42×D53—24no—
82C42×D53—24no—
83C42×D53—24no—
84C42×D53—24no—
85C42×D53—24no—
86C42×D53D418yes—
87C4⋊#88322—24no—
88C22⋊#88322—24no—
89#13133129—28no—
90#13133129—28no—
91C8×Dic53—28no—
92C23×C4×C53C2×C411yescharacteristic
93C23×C4×C53C2×C411yescharacteristic
94C23×C4×C53C2311yescharacteristic
95C22×C8×C53C2314yes—
96C2×C42×C53—24no—
97C2×C42×C53C2×C411yescharacteristic
98C2×C42×C53C2×C411yescharacteristic
99C2×C42×C53C2311yescharacteristic
100C2×C42×C53C2311yescharacteristic
101C4⋊C8×C53—24no—
102C22⋊C8×C53—24no—
103C24×C53C22×C411yescharacteristic
104C23×D53—22no—
105C23×D53—22no—
106C23×D53—22no—
107C23×D53—22no—
108C23×D53—22no—
109C23×D53—22no—
110C23×D53C2×C814yes—
111C23×D53C22×C411yescharacteristic
112C23×D53C22×C411yescharacteristic
113C22×C4×C53—22no—
114C22×C4×C53—22no—
115C22×C4×C53—22no—
116C22×C4×C53—22no—
117C22×C4×C53—22no—
118C22×C4×C53—22no—
119C22×C4×C53—22no—
120C22×C4×C53C2×C814yes—
121C22×C4×C53C22×C411yescharacteristic
122C22×C4×C53C22×C411yescharacteristic
123C22×C4×C53C22×C411yescharacteristic
124C22×C4×C53C22×C411yescharacteristic
125C22×C4×C53C22×C411yescharacteristic
126C22×C4×C53#4112yes—
127C22×C4×C53#4112yes—
128C22×C4×C53C2411yescharacteristic
129C22×Dic53—22no—
130C22×Dic53—22no—
131C22×Dic53—22no—
132C22×Dic53—22no—
133C22×Dic53—22no—
134C22×Dic53—22no—
135C22×Dic53—22no—
136C22×Dic53C2×C814yes—
137C22×Dic53M1614yes—
138C22×Dic53C22×C411yescharacteristic
139C22×Dic53C22×C411yescharacteristic
140C22×Dic53C22×C411yescharacteristic
141C22×Dic53C22×C411yescharacteristic
142C22×Dic53C22×C411yescharacteristic
143C22×Dic53C22×C411yescharacteristic
144C2×C4×D53—216no—
145C2×C4×D53—216no—
146C2×C4×D53—232no—
147C2×C4×D53—22no—
148C2×C4×D53—22no—
149C2×C4×D53—22no—
150C2×C4×D53—22no—
151C2×C4×D53—22no—
152C2×C4×D53—22no—
153C2×C4×D53—22no—
154C2×C4×D53—22no—
155C2×C4×D53—22no—
156C2×C4×D53—22no—
157C2×C4×D53—22no—
158C2×C4×D53—22no—
159C2×C4×D53—22no—
160C2×C4×D53—22no—
161C2×C4×D53—21no—
162C2×C4×D53—21no—
163C2×C4×D53—21no—
164C2×C4×D53—21no—
165C2×C4×D53—22no—
166C2×C4×D53—22no—
167C2×C4×D53—22no—
168C2×C4×D53—22no—
169C2×C4×D53—22no—
170C2×C4×D53—22no—
171C2×C4×D53—22no—
172C2×C4×D53—22no—
173C2×C4×D53—22no—
174C2×C4×D53—22no—
175C2×C4×D53—232no—
176C2×C4×D53C22⋊C414yes—
177C2×C4×D53C22⋊C414yes—
178C2×C4×D53C2×C814yes—
179C2×C4×D53C2×C814yes—
180C2×C4×D53C2×C814yes—
181C2×C4×D53C2×C814yes—
182C2×C4×D53M1614yes—
183C2×C4×D53M1614yes—
184C2×C4×D53C2×D414yes—
185C2×C4×D53#4114yes—
186C2×C8×C53—24no—
187C2×C8×C53—24no—
188C2×C8×C53—24no—
189C42×C53—22no—
190C42×C53—22no—
191C42×C53—22no—
192C42×C53C2×D414yes—
193C4×Dic53—22no—
194C4×Dic53—22no—
195C4×Dic53—22no—
196C4×Dic53—22no—
197C4×Dic53—22no—
198C4×Dic53—22no—
199C4×Dic53—22no—
200C4×Dic53—22no—
201C4×Dic53—22no—
202C4×Dic53C22⋊C414yes—
203C4×Dic53C22⋊C414yes—
204C4×Dic53C2×D414yes—
205C2×#88322—24no—
206C2×#88322—24no—
207C2×#88322—24no—
208C23×C53—21no—
209C23×C53—21no—
210C23×C53—21no—
211C23×C53—21no—
212C23×C53#11712yes—
213C23×C53C22×C812yes—
214C23×C53C2×M1612yes—
215C23×C53C23×C411yescharacteristic
216C22×D53—28no—
217C22×D53—28no—
218C22×D53—28no—
219C22×D53—28no—
220C22×D53—21no—
221C22×D53—21no—
222C22×D53—21no—
223C22×D53—21no—
224C22×D53—21no—
225C22×D53—21no—
226C22×D53—21no—
227C22×D53—21no—
228C22×D53—28no—
229C22×D53—28no—
230C22×D53—28no—
231C22×D53C2×C22⋊C412yes—
232C22×D53#11712yes—
233C22×D53C22×C812yes—
234C22×D53C22×C812yes—
235C22×D53C2×M1612yes—
236C22×D53C2×M1612yes—
237C2×C4×C53—28no—
238C2×C4×C53—21no—
239C2×C4×C53—21no—
240C2×C4×C53—21no—
241C2×C4×C53—21no—
242C2×C4×C53—21no—
243C2×C4×C53—21no—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—24no—
247C2×C4×C53—24no—
248C2×C4×C53—28no—
249C2×C4×C53C2×C22⋊C412yes—
250C2×C4×C53C2×C22⋊C412yes—
251C2×C4×C53#11712yes—
252C2×C4×C53C22×C812yes—
253C2×C4×C53C22×C812yes—
254C2×C4×C53C2×M1612yes—
255C2×C4×C53C2×M1612yes—
256C2×C4×C53C22×D412yes—
257C2×C4×C53C2×#4112yes—
258C2×C4×C53C2×#4111yescharacteristic
259C2×C4×C53C2×#4111yescharacteristic
260C2×Dic53—28no—
261C2×Dic53—21no—
262C2×Dic53—21no—
263C2×Dic53—21no—
264C2×Dic53—21no—
265C2×Dic53—21no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—28no—
270C2×Dic53—28no—
271C2×Dic53C2×C22⋊C412yes—
272C2×Dic53C2×C22⋊C412yes—
273C2×Dic53C2×C22⋊C412yes—
274C2×Dic53#11712yes—
275C2×Dic53C22×C812yes—
276C2×Dic53C22×C812yes—
277C2×Dic53C2×M1612yes—
278C2×Dic53C2×M1612yes—
279C2×Dic53C2×M1612yes—
280C2×Dic53C2×M1612yes—
281C4×D53—28no—
282C4×D53—28no—
283C4×D53—28no—
284C4×D53—28no—
285C4×D53—28no—
286C4×D53—24no—
287C4×D53—24no—
288C4×D53—24no—
289C4×D53—24no—
290C4×D53—28no—
291C4×D53—28no—
292C4×D53—28no—
293C4×D53—28no—
294C4×D53C22⋊C8116yescomplemented
295C8×C53—44no—
296#88322—44no—
297#20714—531nomaximal, Sylow
298C22×C53—22no—
299C22×C53—22no—
300C22×C53—22no—
301C22×C53—22no—
302C22×C53—22no—
303C22×C53—22no—
304C22×C53#43114yescomplemented
305C22×C53C22×C22⋊C411yescharacteristic
306C22×C53C2×#11711yescharacteristic
307C22×C53C2×#11711yescharacteristic
308C22×C53C23×C811yescharacteristic
309C22×C53C22×M1611yescharacteristic
310C22×C53C22×M1611yescharacteristic
311C22×C53C22×M1611yescharacteristic
312C2×D53—232no—
313C2×D53—22no—
314C2×D53—22no—
315C2×D53—22no—
316C2×D53—22no—
317C2×D53—22no—
318C2×D53—22no—
319C2×D53—22no—
320C2×D53—22no—
321C2×D53—22no—
322C2×D53—22no—
323C2×D53—22no—
324C2×D53—22no—
325C2×D53C2×C22⋊C814yes—
326C2×D53#43114yescomplemented
327C4×C53—22no—
328C4×C53—22no—
329C4×C53—22no—
330C4×C53—22no—
331C4×C53C2×C22⋊C814yes—
332C4×C53#52512yes—
333C4×C53#52512yes—
334Dic53—22no—
335Dic53—22no—
336Dic53—22no—
337Dic53—22no—
338Dic53C2×C22⋊C814yes—
339Dic53#40714yes—
340C23×C42—531no—
341C2×#431—532no—
342#1817—532no—
343#1797—531no—
344#1797—532no—
345#1797D5311yescharacteristic, complemented
346#1779—532no—
347C4×C22⋊C8—532no—
348C4×C22⋊C8—532no—
349C2×C53—24no—
350C2×C53#228011yescharacteristic
351C2×C53C22×C22⋊C811yescharacteristic
352C2×C53C2×#40711yescharacteristic
353C2×C53C2×#43111yescharacteristic
354C2×C53C2×#43111yescharacteristic
355C2×C53#292011yescharacteristic
356C2×C53#292011yescharacteristic
357D53—24no—
358D53—24no—
359C24×C4—531no—
360C24×C4—531no—
361C24×C4—531no—
362C22×C42—531no—
363C22×C42—531no—
364C22×C42—531no—
365C22×C42—531no—
366C22×C42—531no—
367C22×C42—531no—
368C22×C42—531no—
369C22×C42—531no—
370C22×C42—531no—
371C22×C42—531no—
372C22×C42—531no—
373C22×C42—1068no—
374C22×C42C2×D5311yescharacteristic
375#431—1068no—
376C2×C4⋊C8—532no—
377C2×C4⋊C8C2×D5312yescomplemented
378C2×C22⋊C8—532no—
379C2×C22⋊C8—534no—
380C2×C22⋊C8—534no—
381C2×C22⋊C8C2×D5312yes—
382C2×C4×C8—534no—
383#336—534no—
384#336—532no—
385#336C2×D5312yescomplemented
386C53#2071411yescharacteristic, complemented, Sylow
387C25—531no—
388C23×C4—531no—
389C23×C4—531no—
390C23×C4—531no—
391C23×C4—531no—
392C23×C4—531no—
393C23×C4—531no—
394C23×C4—531no—
395C23×C4—531no—
396C23×C4—531no—
397C23×C4—531no—
398C23×C4—538no—
399C23×C4—531no—
400C23×C4—531no—
401C23×C4—531no—
402C23×C4—531no—
403C23×C4—531no—
404C23×C4—1064no—
405C23×C4—1064no—
406C23×C4—1064no—
407C23×C4—1064no—
408C23×C4—1064no—
409C23×C4—1064no—
410C23×C4—1064no—
411C23×C4—1062no—
412C23×C4—1062no—
413C23×C4C4×D5311yescharacteristic
414C23×C4C4×D5311yescharacteristic
415C23×C4C22×D5311yescharacteristic
416C22×C8—534no—
417C22×C8C22×D5314yes—
418C2×C42—24no—
419C2×C42—531no—
420C2×C42—531no—
421C2×C42—531no—
422C2×C42—538no—
423C2×C42—531no—
424C2×C42—531no—
425C2×C42—531no—
426C2×C42—531no—
427C2×C42—531no—
428C2×C42—531no—
429C2×C42—531no—
430C2×C42—531no—
431C2×C42—531no—
432C2×C42—1064no—
433C2×C42—1064no—
434C2×C42—1064no—
435C2×C42—1064no—
436C2×C42—1064no—
437C2×C42—1064no—
438C2×C42—1064no—
439C2×C42—1064no—
440C2×C42—1064no—
441C2×C42—1064no—
442C2×C42C4×D5311yescharacteristic
443C2×C42C4×D5311yescharacteristic
444C2×C42C22×D5311yescharacteristic
445C2×C42C22×D5311yescharacteristic
446C4⋊C8—24no—
447C4⋊C8—1064no—
448C22⋊C8—24no—
449C22⋊C8—1068no—
450C22⋊C8—1068no—
451C22⋊C8—1064no—
452C4×C8—1068no—
453C24—531no—
454C24—531no—
455C24—534no—
456C24—1062no—
457C24—1062no—
458C24—1062no—
459C24—1062no—
460C24—1062no—
461C24—1062no—
462C24C2×C4×D5311yescharacteristic
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—531no—
471C22×C4—531no—
472C22×C4—534no—
473C22×C4—534no—
474C22×C4—534no—
475C22×C4—534no—
476C22×C4—534no—
477C22×C4—531no—
478C22×C4—531no—
479C22×C4—531no—
480C22×C4—531no—
481C22×C4—534no—
482C22×C4—534no—
483C22×C4—534no—
484C22×C4—534no—
485C22×C4—534no—
486C22×C4—534no—
487C22×C4—534no—
488C22×C4—1062no—
489C22×C4—1062no—
490C22×C4—1062no—
491C22×C4—1062no—
492C22×C4—1062no—
493C22×C4—1062no—
494C22×C4—1062no—
495C22×C4—1062no—
496C22×C4—1062no—
497C22×C4—1062no—
498C22×C4—10632no—
499C22×C4—1062no—
500C22×C4—1062no—
501C22×C4—1062no—
502C22×C4—1062no—
503C22×C4—1062no—
504C22×C4—1062no—
505C22×C4—10632no—
506C22×C4—10616no—
507C22×C4—10616no—
508C22×C4—1062no—
509C22×C4—1062no—
510C22×C4—1062no—
511C22×C4—1062no—
512C22×C4—1062no—
513C22×C4—1062no—
514C22×C4—1062no—
515C22×C4—1062no—
516C22×C4—1062no—
517C22×C4—1062no—
518C22×C4—1062no—
519C22×C4—1062no—
520C22×C4—1062no—
521C22×C4—1062no—
522C22×C4—1062no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4C8×D5314yes—
528C22×C4C2×C4×D5311yescharacteristic
529C22×C4C2×C4×D5311yescharacteristic
530C22×C4C2×C4×D5311yescharacteristic
531C22×C4C2×C4×D5311yescharacteristic
532C22×C4C2×C4×D5311yescharacteristic
533C22×C4#1171994712yes—
534C22×C4#1171994912yes—
535C22×C4C23×D5311yescharacteristic
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—1064no—
540C2×C8—1064no—
541C2×C8—1064no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—534no—
546C42—534no—
547C42—534no—
548C42—1062no—
549C42—1062no—
550C42—1062no—
551C42—1062no—
552C42—1062no—
553C42—1062no—
554C42—1062no—
555C42—1062no—
556C42—1062no—
557C42D4×D5314yes—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—532no—
563C23—532no—
564C23—532no—
565C23—532no—
566C23—532no—
567C23—532no—
568C23—1068no—
569C23—1068no—
570C23—1068no—
571C23—1068no—
572C23—1068no—
573C23—1068no—
574C23—1061no—
575C23—1061no—
576C23—1061no—
577C23—1061no—
578C23—1061no—
579C23—1061no—
580C23—1061no—
581C23—1061no—
582C23—1068no—
583C23#1313317512yes—
584C23C2×C8×D5312yes—
585C23M16×D5312yes—
586C23C22×C4×D5311yescharacteristic
587C2×C4—28no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—28no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—532no—
600C2×C4—532no—
601C2×C4—532no—
602C2×C4—532no—
603C2×C4—532no—
604C2×C4—532no—
605C2×C4—5316no—
606C2×C4—532no—
607C2×C4—532no—
608C2×C4—532no—
609C2×C4—532no—
610C2×C4—1068no—
611C2×C4—1068no—
612C2×C4—1068no—
613C2×C4—1068no—
614C2×C4—1068no—
615C2×C4—1068no—
616C2×C4—1068no—
617C2×C4—1068no—
618C2×C4—1068no—
619C2×C4—1068no—
620C2×C4—1068no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—1061no—
624C2×C4—1061no—
625C2×C4—1061no—
626C2×C4—1061no—
627C2×C4—1061no—
628C2×C4—1061no—
629C2×C4—1068no—
630C2×C4—1064no—
631C2×C4—1064no—
632C2×C4—1064no—
633C2×C4—1064no—
634C2×C4C22⋊C4×D5312yes—
635C2×C4C22⋊C4×D5312yes—
636C2×C4#1313317512yes—
637C2×C4C2×C8×D5312yes—
638C2×C4C2×C8×D5312yes—
639C2×C4M16×D5312yes—
640C2×C4M16×D5312yes—
641C2×C4C2×D4×D5312yes—
642C2×C4#41×D5312yes—
643C2×C4C2×#1171994711yescharacteristic
644C2×C4C2×#1171994911yescharacteristic
645C8—44no—
646C8—2124no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—534no—
654C22—534no—
655C22—10632no—
656C22—1062no—
657C22—1062no—
658C22—1062no—
659C22—1062no—
660C22—1062no—
661C22—1062no—
662C22—1062no—
663C22—1062no—
664C22—1062no—
665C22—1062no—
666C22—1062no—
667C22—1062no—
668C22#1681067514yescomplemented
669C22C2×C22⋊C4×D5311yescharacteristic
670C22#117×D5311yescharacteristic
671C22C2×#1313317511yescharacteristic
672C22C22×C8×D5311yescharacteristic
673C22C2×M16×D5311yescharacteristic
674C22C2×M16×D5311yescharacteristic
675C22C2×M16×D5311yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—534no—
681C4—534no—
682C4—1062no—
683C4—1062no—
684C4—1062no—
685C4—1062no—
686C4C22⋊C8×D5314yes—
687C4#1681113312yes—
688C4#1681113612yes—
689C2—24no—
690C2—1064no—
691C2—1064no—
692C2#2027709711yescharacteristic
693C2C2×C22⋊C8×D5311yescharacteristic
694C2#407×D5311yescharacteristic
695C2#431×D5311yescharacteristic
696C2C2×#1681067511yescharacteristic
697C2#2028334511yescharacteristic
698C2#2028334711yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D53
commutatorC22×C53C23×C8
FittingC53×#1797C2
socleC23×C53C23×C4
prime radicalC24×D53C2×C4
cosocleC22×C4×C53C24
hypercenter#1797D53
hypocenterC53#20714
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
2. C2×#16810675C2semidirect
3. #20274782C2semidirect
4. #20274695C2semidirect
5. #20274692C2semidirect
7. C22⋊C8×Dic53C2semidirect
8. #20274472C2semidirect
9. C53×#1797C2semidirect
26. C2×C4⋊#88322C22semidirect
30. C2×C8×Dic53C22semidirect
31. #16810378C22semidirect
32. #16810377C22semidirect
34. C2×C4⋊C8×C53C22semidirect
36. C53×#336C22semidirect
50. C22×C4×D53C8semidirect
294. C4×D53C22⋊C8semidirect
304. C22×C53#431semidirect
326. C2×D53#431semidirect
345. #1797D53semidirect
377. C2×C4⋊C8C2×D53semidirect
385. #336C2×D53semidirect
386. C53#20714semidirect
668. C22#16810675semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D532
C2×#168106752
#202747822
#202746952
#202746922
#202746242
C22⋊C8×Dic532
#202744722
C53×#17972
#2071453