Finite Group Databasebeta

← D53×#1736 #27381493

Subgroups — D53×#1736 #27381493

Order 13568.

2574 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D53C211yesmaximal, characteristic
2C2×#117×D53C211yesmaximal, characteristic
3C22×C4⋊C4×D53C211yesmaximal, characteristic
4#20274436C211yesmaximal, characteristic, complemented
5#20274435C211yesmaximal, characteristic, complemented
6#20274434C211yesmaximal, characteristic, complemented
7#20274433C214yesmaximal, complemented
8#340×D53C214yesmaximal, complemented
9C53×#1736C211yesmaximal, characteristic, complemented
10C23×C4×D53—21no—
11C23×C4×D53C2211yescharacteristic
12C22×#11719917C2211yescharacteristic
13C22×#11719912C2212yes—
14C2×M16×D53—24no—
15C2×M16×D53—24no—
16C2×M16×D53C418yescomplemented
17C22×C8×D53C2212yes—
18C2×#13133176C2211yescharacteristic
19C2×#13133175C2212yes—
20C2×#13133174—21no—
21C2×#13133173—21no—
22#117×D53—24no—
23#117×D53C418yescomplemented
24C22×C4⋊Dic53C2211yescharacteristic
25C22×#11719919—21no—
26C2×C4⋊C4×D53—21no—
27C2×C4⋊C4×D53—21no—
28C2×C4⋊C4×D53—24no—
29C2×C4⋊C4×D53C418yescomplemented
30C2×C4⋊C4×D53C2212yes—
31C2×C4⋊C4×D53C2212yes—
32C2×C4⋊C4×D53C2212yes—
33C2×C22⋊C4×D53—21no—
34C2×C42×D53—21no—
35#16810386C2214yescomplemented
36#16810385C2214yescomplemented
37#16810385C2214yescomplemented
38C22×M16×C53C2211yescharacteristic
39C2×#117×C53C2211yescharacteristic
40C22×C4⋊C4×C53C2211yescharacteristic
41C53×#340C2214yescomplemented
42C24×D53D411yescharacteristic
43C23×Dic53—21no—
44C23×Dic53D411yescharacteristic
45C22×C4×D53—28no—
46C22×C4×D53—22no—
47C22×C4×D53—22no—
48C22×C4×D53—22no—
49C22×C4×D53—48no—
50C22×C4×D53C2×C414yes—
51C22×C4×D53C2×C414yes—
52C22×C4×D53C2×C414yes—
53C22×C4×D53D411yescharacteristic
54C22×C4×D53D411yescharacteristic
55C22×C4×D53D414yes—
56C22×C4×D53D414yes—
57C22×C4×D53Q814yes—
58C22×C4×D53C2311yescharacteristic
59C22×C4×D53C2311yescharacteristic
60C2×#11719917—22no—
61C2×#11719917—22no—
62C2×#11719917C2×C414yescomplemented
63C2×#11719912—24no—
64C2×#11719912—24no—
65C2×#11719912C2×C418yescomplemented
66M16×D53—232no—
67C22×#88322C2312yes—
68C2×C8×D53—24no—
69C2×C8×D53—24no—
70C2×C8×D53C2×C418yescomplemented
71#13133176—22no—
72#13133176C2×C414yescomplemented
73#13133175—24no—
74#13133175C2×C418yescomplemented
75#13133174—28no—
76#13133173—28no—
77C2×C4⋊Dic53—22no—
78C2×C4⋊Dic53—21no—
79C2×C4⋊Dic53C2×C414yescomplemented
80C2×C4⋊Dic53C2312yes—
81C2×C4⋊Dic53C2312yes—
82C2×#11719919—28no—
83C2×#11719919—22no—
84C2×#11719919—22no—
85C2×#11719919—22no—
86C4⋊C4×D53—28no—
87C4⋊C4×D53—28no—
88C4⋊C4×D53—24no—
89C4⋊C4×D53—24no—
90C4⋊C4×D53—24no—
91C4⋊C4×D53C2×C418yes—
92C4⋊C4×D53C2×C418yescomplemented
93C4⋊C4×D53C2×C418yescomplemented
94C2×C22⋊Dic53—21no—
95C2×#11719921—22no—
96C22⋊C4×D53—28no—
97C2×C4×Dic53—21no—
98C2×C4×Dic53—22no—
99C42×D53—28no—
100C23×C4×C53—21no—
101C23×C4×C53C2311yescharacteristic
102C2×M16×C53—22no—
103C2×M16×C53—22no—
104C2×M16×C53C2×C414yescomplemented
105C22×C8×C53C2312yes—
106#117×C53—22no—
107#117×C53C2×C414yescomplemented
108C2×C4⋊C4×C53—22no—
109C2×C4⋊C4×C53—21no—
110C2×C4⋊C4×C53C2×C414yescomplemented
111C2×C4⋊C4×C53C2312yes—
112C2×C4⋊C4×C53C2312yes—
113C2×C22⋊C4×C53—21no—
114C2×C42×C53—21no—
115C24×C53C2×D411yescharacteristic
116C23×D53—24no—
117C23×D53—24no—
118C23×D53C22⋊C414yes—
119C23×D53C22⋊C414yes—
120C23×D53C4⋊C414yes—
121C23×D53C2×D411yescharacteristic
122C23×D53C2×D411yescharacteristic
123C22×C4×C53—24no—
124C22×C4×C53—22no—
125C22×C4×C53—22no—
126C22×C4×C53—44no—
127C22×C4×C53C22×C412yes—
128C22×C4×C53C22×C412yes—
129C22×C4×C53C22×C412yes—
130C22×C4×C53C2×D411yescharacteristic
131C22×C4×C53C2×D412yes—
132C22×C4×C53C2×D412yes—
133C22×C4×C53C2×Q812yes—
134C22×C4×C53C2411yescharacteristic
135C22×Dic53—24no—
136C22×Dic53—22no—
137C22×Dic53—22no—
138C22×Dic53—44no—
139C22×Dic53C22⋊C414yes—
140C22×Dic53C22⋊C414yes—
141C22×Dic53C4⋊C414yes—
142C22×Dic53C2×D411yescharacteristic
143C22×Dic53C2×D411yescharacteristic
144C2×C4×D53—28no—
145C2×C4×D53—28no—
146C2×C4×D53—28no—
147C2×C4×D53—48no—
148C2×C4×D53—432no—
149C2×C4×D53—44no—
150C2×C4×D53—48no—
151C2×C4×D53—44no—
152C2×C4×D53C42116yes—
153C2×C4×D53C22⋊C414yes—
154C2×C4×D53C22⋊C414yes—
155C2×C4×D53C22⋊C414yes—
156C2×C4×D53C22⋊C414yes—
157C2×C4×D53C22⋊C4116yes—
158C2×C4×D53C4⋊C414yes—
159C2×C4×D53C4⋊C414yes—
160C2×C4×D53C4⋊C4116yes—
161C2×C4×D53C4⋊C4116yes—
162C2×C4×D53C22×C412yes—
163C2×C4×D53C22×C412yes—
164C2×C4×D53C22×C412yes—
165C2×C4×D53C22×C412yes—
166C2×C4×D53C22×C412yes—
167C2×C4×D53C22×C412yes—
168C2×C4×D53C2×D412yes—
169C2×C4×D53C2×D412yes—
170C2×C4×D53C2×D412yes—
171C2×C4×D53C2×D412yes—
172C2×C4×D53C2×Q812yes—
173C2×C4×D53C2×Q812yes—
174M16×C53—28no—
175C2×C8×C53—22no—
176C2×C8×C53—22no—
177C2×C8×C53C22×C414yescomplemented
178C4⋊C4×C53—24no—
179C4⋊C4×C53—22no—
180C4⋊C4×C53—22no—
181C4⋊C4×C53C22×C414yes—
182C4⋊C4×C53C22×C414yescomplemented
183C22⋊C4×C53—24no—
184C42×C53—24no—
185C22⋊Dic53—24no—
186#11719921—28no—
187C4⋊Dic53—24no—
188C4⋊Dic53—22no—
189C4⋊Dic53—22no—
190C4⋊Dic53C22×C414yes—
191C4⋊Dic53C22×C414yescomplemented
192#11719919—28no—
193#11719919—28no—
194#11719919—28no—
195C4×Dic53—24no—
196C4×Dic53—28no—
197#11719917—28no—
198C2×#88322—22no—
199C2×#88322—22no—
200C2×#88322C22×C414yescomplemented
201#11719912—216no—
202C8×D53—216no—
203C23×C53—22no—
204C23×C53—22no—
205C23×C53C2×C22⋊C412yes—
206C23×C53C2×C22⋊C412yes—
207C23×C53C2×C4⋊C412yes—
208C23×C53C22×D411yescharacteristic
209C22×D53—22no—
210C22×D53—22no—
211C22×D53—216no—
212C22×D53—28no—
213C22×D53—28no—
214C22×D53—216no—
215C22×D53#95116yes—
216C22×D53C2×C22⋊C412yes—
217C22×D53C2×C22⋊C412yes—
218C22×D53C2×C22⋊C412yes—
219C22×D53C2×C22⋊C412yes—
220C22×D53C2×C4⋊C412yes—
221C22×D53C2×C4⋊C412yes—
222C22×D53AGL(1,ℤ/8)14yes—
223C22×D53#13714yes—
224C2×C4×C53—24no—
225C2×C4×C53—24no—
226C2×C4×C53—48no—
227C2×C4×C53—44no—
228C2×C4×C53—42no—
229C2×C4×C53—42no—
230C2×C4×C53C2×C4214yes—
231C2×C4×C53C2×C22⋊C414yes—
232C2×C4×C53C2×C22⋊C412yes—
233C2×C4×C53C2×C22⋊C412yes—
234C2×C4×C53C2×C4⋊C414yes—
235C2×C4×C53C2×C4⋊C414yes—
236C2×C4×C53C2×C4⋊C412yes—
237C2×C4×C53C23×C411yescharacteristic
238C2×C4×C53C23×C411yescharacteristic
239C2×C4×C53C23×C411yescharacteristic
240C2×C4×C53C22×D411yescharacteristic
241C2×C4×C53C22×D411yescharacteristic
242C2×C4×C53C22×Q811yescharacteristic
243C2×Dic53—24no—
244C2×Dic53—24no—
245C2×Dic53—48no—
246C2×Dic53—44no—
247C2×Dic53—42no—
248C2×Dic53—42no—
249C2×Dic53#95116yes—
250C2×Dic53C2×C22⋊C412yes—
251C2×Dic53C2×C22⋊C412yes—
252C2×Dic53C2×C22⋊C412yes—
253C2×Dic53C2×C22⋊C412yes—
254C2×Dic53C2×C4⋊C412yes—
255C2×Dic53C2×C4⋊C412yes—
256C4×D53—416no—
257C4×D53—416no—
258C4×D53—416no—
259C4×D53#95116yes—
260C4×D53#95116yes—
261C4×D53C2×C4214yes—
262C4×D53C2×C4214yes—
263C4×D53C2×C22⋊C414yes—
264C4×D53C2×C22⋊C414yes—
265C4×D53C2×C4⋊C414yes—
266C4×D53C2×C4⋊C414yes—
267C4×D53C2×C4⋊C414yes—
268C4×D53C2×C4⋊C414yes—
269C8×C53—24no—
270#88322—24no—
271C2×#1736—531nomaximal, Sylow
272C22×C53—22no—
273C22×C53—22no—
274C22×C53—24no—
275C22×C53—24no—
276C22×C53C2×#9514yes—
277C22×C53C22×C22⋊C411yescharacteristic
278C22×C53C22×C22⋊C411yescharacteristic
279C22×C53C22×C4⋊C411yescharacteristic
280C22×C53C2×AGL(1,ℤ/8)12yes—
281C22×C53C2×#13712yes—
282C2×D53—22no—
283C2×D53—22no—
284C2×D53—24no—
285C2×D53—24no—
286C2×D53—232no—
287C2×D53C2×#9514yes—
288C2×D53C2×#9514yes—
289C2×D53#41718yes—
290C2×D53#41814yes—
291C2×D53#41914yes—
292C2×D53#42818yes—
293C4×C53—44no—
294C4×C53—44no—
295C4×C53C2×#9514yes—
296C4×C53C22×C4211yescharacteristic
297C4×C53C22×C22⋊C411yescharacteristic
298C4×C53C22×C4⋊C411yescharacteristic
299C4×C53C22×C4⋊C411yescharacteristic
300Dic53—44no—
301Dic53—44no—
302Dic53C2×#9514yes—
303Dic53C2×#9514yes—
304C23×M16—531no—
305C22×#117—531no—
306C23×C4⋊C4—531no—
307#1736—534no—
308#1736—531no—
309#1736—531no—
310#1736—531no—
311#1736D5311yescharacteristic, direct product factor
312C2×#340—534no—
313C2×C53—24no—
314C2×C53C22×#9511yescharacteristic
315C2×C53C2×#41811yescharacteristic
316C2×C53C2×#41911yescharacteristic
317C2×C53C2×#41712yes—
318C2×C53C2×#42812yes—
319D53—24no—
320D53#173618yesdirect product factor
321C24×C4—531no—
322C24×C4—1061no—
323C22×M16—531no—
324C22×M16—538no—
325C22×M16—532no—
326C22×M16—1064no—
327C22×M16—1064no—
328C22×M16C2×D5311yescharacteristic
329C23×C8—532no—
330C2×#117—531no—
331C2×#117—538no—
332C2×#117—532no—
333C2×#117—1061no—
334C2×#117—1061no—
335C2×#117—1064no—
336C2×#117C2×D5311yescharacteristic
337C22×C4⋊C4—531no—
338C22×C4⋊C4—538no—
339C22×C4⋊C4—532no—
340C22×C4⋊C4—532no—
341C22×C4⋊C4—532no—
342C22×C4⋊C4—1061no—
343C22×C4⋊C4—1064no—
344C22×C4⋊C4—1061no—
345C22×C4⋊C4—1061no—
346C22×C4⋊C4C2×D5311yescharacteristic
347C22×C22⋊C4—1061no—
348C22×C42—1061no—
349#340—534no—
350#340—534no—
351#340—534no—
352#340C2×D5314yescomplemented
353C53C2×#173611yescharacteristic, complemented, Sylow
354C25—531no—
355C23×C4—21no—
356C23×C4—531no—
357C23×C4—534no—
358C23×C4—534no—
359C23×C4—534no—
360C23×C4—531no—
361C23×C4—534no—
362C23×C4—531no—
363C23×C4—534no—
364C23×C4—534no—
365C23×C4—531no—
366C23×C4—531no—
367C23×C4—1062no—
368C23×C4—1068no—
369C23×C4—1062no—
370C23×C4—1062no—
371C23×C4—1061no—
372C23×C4—2128no—
373C23×C4C22×D5311yescharacteristic
374C2×M16—22no—
375C2×M16—22no—
376C2×M16—534no—
377C2×M16—538no—
378C2×M16—1064no—
379C2×M16—1064no—
380C2×M16—10632no—
381C2×M16—1062no—
382C2×M16—1062no—
383C2×M16C4×D5314yescomplemented
384C22×C8—532no—
385C22×C8—538no—
386C22×C8—1064no—
387C22×C8—1064no—
388C22×C8C22×D5312yes—
389#117—22no—
390#117—534no—
391#117—538no—
392#117—1068no—
393#117—1068no—
394#117—1064no—
395#117—1062no—
396#117C4×D5314yescomplemented
397C2×C4⋊C4—21no—
398C2×C4⋊C4—22no—
399C2×C4⋊C4—534no—
400C2×C4⋊C4—532no—
401C2×C4⋊C4—532no—
402C2×C4⋊C4—538no—
403C2×C4⋊C4—538no—
404C2×C4⋊C4—538no—
405C2×C4⋊C4—1068no—
406C2×C4⋊C4—1068no—
407C2×C4⋊C4—1064no—
408C2×C4⋊C4—1064no—
409C2×C4⋊C4—1064no—
410C2×C4⋊C4—1068no—
411C2×C4⋊C4—1062no—
412C2×C4⋊C4—1062no—
413C2×C4⋊C4—1062no—
414C2×C4⋊C4—1061no—
415C2×C4⋊C4—1062no—
416C2×C4⋊C4C4×D5314yescomplemented
417C2×C4⋊C4C22×D5312yes—
418C2×C4⋊C4C22×D5312yes—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—1068no—
421C2×C22⋊C4—1062no—
422C2×C22⋊C4—1061no—
423C2×C42—21no—
424C2×C42—1068no—
425C2×C42—1062no—
426C2×C42—1061no—
427C24—531no—
428C24—534no—
429C24—534no—
430C24—534no—
431C24—531no—
432C24—1064no—
433C24—1064no—
434C24D4×D5311yescharacteristic
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—44no—
439C22×C4—534no—
440C22×C4—534no—
441C22×C4—534no—
442C22×C4—531no—
443C22×C4—531no—
444C22×C4—5316no—
445C22×C4—534no—
446C22×C4—534no—
447C22×C4—534no—
448C22×C4—534no—
449C22×C4—5316no—
450C22×C4—534no—
451C22×C4—534no—
452C22×C4—5316no—
453C22×C4—5316no—
454C22×C4—532no—
455C22×C4—532no—
456C22×C4—532no—
457C22×C4—532no—
458C22×C4—532no—
459C22×C4—532no—
460C22×C4—532no—
461C22×C4—532no—
462C22×C4—532no—
463C22×C4—532no—
464C22×C4—532no—
465C22×C4—532no—
466C22×C4—1068no—
467C22×C4—1068no—
468C22×C4—1068no—
469C22×C4—1064no—
470C22×C4—1062no—
471C22×C4—1062no—
472C22×C4—2124no—
473C22×C4—2124no—
474C22×C4—2128no—
475C22×C4—21232no—
476C22×C4—2128no—
477C22×C4—2124no—
478C22×C4C2×C4×D5312yes—
479C22×C4C2×C4×D5312yes—
480C22×C4C2×C4×D5312yes—
481C22×C4D4×D5311yescharacteristic
482C22×C4D4×D5312yes—
483C22×C4D4×D5312yes—
484C22×C4Q8×D5312yes—
485C22×C4C23×D5311yescharacteristic
486M16—28no—
487M16—10616no—
488M16—1068no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—534no—
492C2×C8—10616no—
493C2×C8—1062no—
494C2×C8—1062no—
495C2×C8C2×C4×D5314yescomplemented
496C4⋊C4—24no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—534no—
500C4⋊C4—534no—
501C4⋊C4—1068no—
502C4⋊C4—1068no—
503C4⋊C4—1068no—
504C4⋊C4—1064no—
505C4⋊C4—1062no—
506C4⋊C4—1062no—
507C4⋊C4C2×C4×D5314yes—
508C4⋊C4C2×C4×D5314yescomplemented
509C22⋊C4—24no—
510C22⋊C4—1068no—
511C22⋊C4—1064no—
512C42—24no—
513C42—1068no—
514C42—1064no—
515C23—22no—
516C23—22no—
517C23—532no—
518C23—532no—
519C23—532no—
520C23—534no—
521C23—534no—
522C23—532no—
523C23—532no—
524C23—532no—
525C23—5316no—
526C23—1068no—
527C23—1068no—
528C23—10616no—
529C23—10616no—
530C23—1062no—
531C23—1062no—
532C23C22⋊C4×D5312yes—
533C23C22⋊C4×D5312yes—
534C23C4⋊C4×D5312yes—
535C23C2×D4×D5311yescharacteristic
536C2×C4—24no—
537C2×C4—24no—
538C2×C4—48no—
539C2×C4—44no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—532no—
543C2×C4—532no—
544C2×C4—532no—
545C2×C4—532no—
546C2×C4—532no—
547C2×C4—532no—
548C2×C4—5316no—
549C2×C4—534no—
550C2×C4—534no—
551C2×C4—534no—
552C2×C4—534no—
553C2×C4—534no—
554C2×C4—534no—
555C2×C4—534no—
556C2×C4—534no—
557C2×C4—5316no—
558C2×C4—5316no—
559C2×C4—1064no—
560C2×C4—1064no—
561C2×C4—21216no—
562C2×C4—21216no—
563C2×C4—21216no—
564C2×C4—2128no—
565C2×C4—2122no—
566C2×C4—2124no—
567C2×C4—2122no—
568C2×C4C42×D5314yes—
569C2×C4C22⋊C4×D5314yes—
570C2×C4C22⋊C4×D5312yes—
571C2×C4C22⋊C4×D5312yes—
572C2×C4C4⋊C4×D5314yes—
573C2×C4C4⋊C4×D5314yes—
574C2×C4C4⋊C4×D5312yes—
575C2×C4C22×C4×D5311yescharacteristic
576C2×C4C22×C4×D5311yescharacteristic
577C2×C4C22×C4×D5311yescharacteristic
578C2×C4C2×D4×D5311yescharacteristic
579C2×C4C2×D4×D5311yescharacteristic
580C2×C4C2×Q8×D5311yescharacteristic
581C8—24no—
582C8—1064no—
583C22—22no—
584C22—22no—
585C22—24no—
586C22—24no—
587C22—534no—
588C22—534no—
589C22—534no—
590C22—538no—
591C22—538no—
592C22—534no—
593C22—10632no—
594C22—1062no—
595C22—1062no—
596C22—1064no—
597C22—1064no—
598C22#95×D5314yes—
599C22C2×C22⋊C4×D5311yescharacteristic
600C22C2×C22⋊C4×D5311yescharacteristic
601C22C2×C4⋊C4×D5311yescharacteristic
602C22AGL(1,ℤ/8)×D5312yes—
603C22#137×D5312yes—
604C4—44no—
605C4—44no—
606C4—534no—
607C4—534no—
608C4—2124no—
609C4—2124no—
610C4#95×D5314yes—
611C4C2×C42×D5311yescharacteristic
612C4C2×C22⋊C4×D5311yescharacteristic
613C4C2×C4⋊C4×D5311yescharacteristic
614C4C2×C4⋊C4×D5311yescharacteristic
615C2—24no—
616C2—538no—
617C2—1064no—
618C2C2×#95×D5311yescharacteristic
619C2#418×D5311yescharacteristic
620C2#419×D5311yescharacteristic
621C2#417×D5312yes—
622C2#428×D5312yes—
subgroupG/H
centerC23C2×D4×D53
commutatorC4×C53C22×C42
FrattiniC22×C4C23×D53
FittingC53×#1736C2
socleC23×C53C22×D4
prime radicalC24×D53D4
cosocleC22×C4×C53C24
hypercenter#1736D53
hypocenterC53C2×#1736
LCSG ▷ C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. #20274436C2semidirect
5. #20274435C2semidirect
6. #20274434C2semidirect
7. #20274433C2semidirect
8. #340×D53C2semidirect
9. C53×#1736C2semidirect
16. C2×M16×D53C4semidirect
23. #117×D53C4semidirect
29. C2×C4⋊C4×D53C4semidirect
35. #16810386C22semidirect
36. #16810385C22semidirect
37. #16810385C22semidirect
41. C53×#340C22semidirect
62. C2×#11719917C2×C4semidirect
65. C2×#11719912C2×C4semidirect
70. C2×C8×D53C2×C4semidirect
72. #13133176C2×C4semidirect
74. #13133175C2×C4semidirect
79. C2×C4⋊Dic53C2×C4semidirect
92. C4⋊C4×D53C2×C4semidirect
93. C4⋊C4×D53C2×C4semidirect
104. C2×M16×C53C2×C4semidirect
107. #117×C53C2×C4semidirect
110. C2×C4⋊C4×C53C2×C4semidirect
177. C2×C8×C53C22×C4semidirect
182. C4⋊C4×C53C22×C4semidirect
191. C4⋊Dic53C22×C4semidirect
200. C2×#88322C22×C4semidirect
311. #1736D53direct (N × H)
320. D53#1736direct (N × H)
352. #340C2×D53semidirect
353. C53C2×#1736semidirect
383. C2×M16C4×D53semidirect
396. #117C4×D53semidirect
416. C2×C4⋊C4C4×D53semidirect
495. C2×C8C2×C4×D53semidirect
508. C4⋊C4C2×C4×D53semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D532
C2×#117×D532
C22×C4⋊C4×D532
#202744362
#202744352
#202744342
#202744332
#340×D532
C53×#17362
C2×#173653