Finite Group Databasebeta

← #27383901

Subgroups — #27383901

Order 13568.

1542 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D53C211yesmaximal, characteristic
2C2×#16810586C211yesmaximal, characteristic
3C2×#16810480C211yesmaximal, characteristic
4#20274809C212yesmaximal, complemented
5#20274808C212yesmaximal, complemented
6#20274804C212yesmaximal, complemented
7#20274800C212yesmaximal, complemented
8#20274436C211yesmaximal, characteristic, complemented
9#20274435C211yesmaximal, characteristic, complemented
10#20274434C211yesmaximal, characteristic, complemented
11C53×#1736C211yesmaximal, characteristic, complemented
12C23×C4×D53C2211yescharacteristic
13C22×#11719917C2211yescharacteristic
14C2×#13133176C2211yescharacteristic
15C2×#13133175C2211yescharacteristic
16C2×#13133175C2211yescharacteristic
17C2×#13133174—21no—
18C2×#13133173—21no—
19#117×D53—24no—
20#117×D53C418yescomplemented
21C22×C4⋊Dic53C2211yescharacteristic
22C2×C4⋊C4×D53C2211yescharacteristic
23C2×C4⋊C4×D53C2211yescharacteristic
24C22×#11719921—21no—
25C2×C22⋊C4×D53—21no—
26C2×C42×D53—21no—
27#16810586—24no—
28C2×#13133129C2212yes—
29C2×#13133129C2212yes—
30#16810480—21no—
31#16810480—21no—
32#16810480C2212yes—
33#16810480C2212yes—
34C2×#13133124—21no—
35#16810386C2212yescomplemented
36#16810386C2212yescomplemented
37#16810385C2212yescomplemented
38#16810385C2212yescomplemented
39#16810385C2212yescomplemented
40#16810385C2212yescomplemented
41C22×M16×C53C2211yescharacteristic
42C2×#117×C53C2211yescharacteristic
43C22×C4⋊C4×C53C2211yescharacteristic
44C53×#340C2212yescomplemented
45C53×#340C2212yescomplemented
46C24×D53D411yescharacteristic
47C23×Dic53—21no—
48C23×Dic53D411yescharacteristic
49C22×C4×D53—22no—
50C22×C4×D53—22no—
51C22×C4×D53—22no—
52C22×C4×D53—22no—
53C22×C4×D53—21no—
54C22×C4×D53—21no—
55C22×C4×D53C2×C414yes—
56C22×C4×D53D411yescharacteristic
57C22×C4×D53D411yescharacteristic
58C22×C4×D53D414yes—
59C22×C4×D53C2311yescharacteristic
60C22×C4×D53C2311yescharacteristic
61C2×#11719917—22no—
62C2×#11719917—22no—
63C2×#11719917—22no—
64C22×#88322C2312yes—
65#13133176—22no—
66#13133176C2×C414yes—
67#13133175—22no—
68#13133175—22no—
69#13133175C2×C414yescomplemented
70#13133175C2×C414yescomplemented
71#13133174—28no—
72#13133173—28no—
73C2×C4⋊Dic53—21no—
74C2×C4⋊Dic53—22no—
75C2×C4⋊Dic53—22no—
76C2×C4⋊Dic53C2312yes—
77C2×C4⋊Dic53C2311yescharacteristic
78C2×C4⋊Dic53C2311yescharacteristic
79C2×#11719919—21no—
80C2×#11719919—21no—
81C4⋊C4×D53—22no—
82C4⋊C4×D53—22no—
83C4⋊C4×D53C2×C414yescomplemented
84C4⋊C4×D53C2×C414yescomplemented
85C2×C22⋊Dic53—21no—
86C2×#11719921—21no—
87C2×#11719921—21no—
88C2×#11719921—22no—
89C2×#11719921—22no—
90C2×#11719921—44no—
91C22⋊C4×D53—28no—
92C2×C4×Dic53—21no—
93C2×C4×Dic53—21no—
94C2×C4×Dic53—21no—
95C42×D53—28no—
96#13133129—24no—
97#13133129—24no—
98#13133124—22no—
99#13133124—22no—
100C23×C4×C53—21no—
101C23×C4×C53C2311yescharacteristic
102C2×M16×C53—22no—
103C2×M16×C53—22no—
104C2×M16×C53—22no—
105C22×C8×C53C2312yes—
106#117×C53—22no—
107#117×C53C2×C414yes—
108C2×C4⋊C4×C53—21no—
109C2×C4⋊C4×C53—22no—
110C2×C4⋊C4×C53—22no—
111C2×C4⋊C4×C53C2312yes—
112C2×C4⋊C4×C53C2311yescharacteristic
113C2×C4⋊C4×C53C2311yescharacteristic
114C2×C22⋊C4×C53—21no—
115C2×C42×C53—21no—
116C24×C53C2×D411yescharacteristic
117C23×D53—22no—
118C23×D53—22no—
119C23×D53—22no—
120C23×D53—22no—
121C23×D53—41no—
122C23×D53—41no—
123C23×D53C22⋊C414yes—
124C23×D53C2×D411yescharacteristic
125C23×D53C2×D411yescharacteristic
126C22×C4×C53—21no—
127C22×C4×C53—21no—
128C22×C4×C53—22no—
129C22×C4×C53—42no—
130C22×C4×C53—42no—
131C22×C4×C53—42no—
132C22×C4×C53C22×C412yes—
133C22×C4×C53C2×D411yescharacteristic
134C22×C4×C53C2×D412yes—
135C22×C4×C53#4112yes—
136C22×C4×C53#4112yes—
137C22×C4×C53#4112yes—
138C22×C4×C53#4112yes—
139C22×C4×C53C2411yescharacteristic
140C22×Dic53—22no—
141C22×Dic53—22no—
142C22×Dic53—21no—
143C22×Dic53—21no—
144C22×Dic53—22no—
145C22×Dic53—42no—
146C22×Dic53—42no—
147C22×Dic53—42no—
148C22×Dic53C22⋊C414yes—
149C22×Dic53C2×D411yescharacteristic
150C22×Dic53C2×D411yescharacteristic
151C2×C4×D53—28no—
152C2×C4×D53—28no—
153C2×C4×D53—28no—
154C2×C4×D53—28no—
155C2×C4×D53—22no—
156C2×C4×D53—22no—
157C2×C4×D53—22no—
158C2×C4×D53—22no—
159C2×C4×D53—21no—
160C2×C4×D53—21no—
161C2×C4×D53—21no—
162C2×C4×D53—21no—
163C2×C4×D53—21no—
164C2×C4×D53—21no—
165C2×C4×D53—21no—
166C2×C4×D53—21no—
167C2×C4×D53—24no—
168C2×C4×D53—24no—
169C2×C4×D53—42no—
170C2×C4×D53—42no—
171C2×C4×D53—42no—
172C2×C4×D53—42no—
173C2×C4×D53C22⋊C414yes—
174C2×C4×D53C22⋊C414yes—
175C2×C4×D53C22×C412yes—
176C2×C4×D53C22×C412yes—
177C2×C4×D53C2×D412yes—
178C2×C4×D53C2×D412yes—
179M16×C53—44no—
180C2×C8×C53—22no—
181C2×C8×C53—22no—
182C2×C8×C53—22no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—22no—
186C4⋊C4×C53—22no—
187C4⋊C4×C53—42no—
188C4⋊C4×C53C22×C412yes—
189C4⋊C4×C53C22×C412yes—
190C22⋊C4×C53—24no—
191C42×C53—24no—
192C22⋊Dic53—24no—
193#11719921—24no—
194#11719921—24no—
195#11719921—44no—
196#11719921—44no—
197C4⋊Dic53—21no—
198C4⋊Dic53—21no—
199C4⋊Dic53—22no—
200C4⋊Dic53—22no—
201C4⋊Dic53—42no—
202C4⋊Dic53C22×C412yes—
203C4⋊Dic53C22×C412yes—
204#11719919—24no—
205#11719919—24no—
206C4×Dic53—24no—
207C4×Dic53—24no—
208C4×Dic53—24no—
209#11719917—44no—
210C2×#88322—22no—
211C2×#88322—22no—
212C2×#88322—22no—
213C23×C53—21no—
214C23×C53—21no—
215C23×C53—21no—
216C23×C53—21no—
217C23×C53C2×C22⋊C412yes—
218C23×C53#12312yes—
219C23×C53#12312yes—
220C23×C53C22×D411yescharacteristic
221C22×D53—21no—
222C22×D53—21no—
223C22×D53—21no—
224C22×D53—21no—
225C22×D53—21no—
226C22×D53—21no—
227C22×D53—21no—
228C22×D53—21no—
229C22×D53—21no—
230C22×D53—21no—
231C22×D53—28no—
232C22×D53—28no—
233C22×D53—44no—
234C22×D53—44no—
235C22×D53—44no—
236C22×D53—44no—
237C22×D53—44no—
238C22×D53C2×C22⋊C412yes—
239C22×D53C2×C22⋊C412yes—
240C22×D53AGL(1,ℤ/8)12yes—
241C22×D53#13712yes—
242C2×C4×C53—22no—
243C2×C4×C53—22no—
244C2×C4×C53—41no—
245C2×C4×C53—41no—
246C2×C4×C53—41no—
247C2×C4×C53—41no—
248C2×C4×C53—42no—
249C2×C4×C53—42no—
250C2×C4×C53—42no—
251C2×C4×C53—84no—
252C2×C4×C53C2×C22⋊C412yes—
253C2×C4×C53#11714yes—
254C2×C4×C53#11714yes—
255C2×C4×C53#12314yes—
256C2×C4×C53#12312yes—
257C2×C4×C53#12314yes—
258C2×C4×C53#12312yes—
259C2×C4×C53C23×C411yescharacteristic
260C2×C4×C53C22×D411yescharacteristic
261C2×C4×C53C2×#4111yescharacteristic
262C2×C4×C53C2×#4111yescharacteristic
263C2×C4×C53C2×#4111yescharacteristic
264C2×C4×C53C2×#4111yescharacteristic
265C2×Dic53—21no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—28no—
270C2×Dic53—22no—
271C2×Dic53—22no—
272C2×Dic53—41no—
273C2×Dic53—41no—
274C2×Dic53—41no—
275C2×Dic53—41no—
276C2×Dic53—42no—
277C2×Dic53—42no—
278C2×Dic53—42no—
279C2×Dic53—84no—
280C2×Dic53C2×C22⋊C412yes—
281C2×Dic53C2×C22⋊C412yes—
282C4×D53—22no—
283C4×D53—22no—
284C4×D53—22no—
285C4×D53—22no—
286C4×D53—22no—
287C4×D53—22no—
288C4×D53—22no—
289C4×D53—22no—
290C4×D53—28no—
291C4×D53—28no—
292C4×D53—48no—
293C4×D53—48no—
294C8×C53—42no—
295#88322—42no—
296#20702—531nomaximal, Sylow
297C22×C53—22no—
298C22×C53—22no—
299C22×C53—22no—
300C22×C53—22no—
301C22×C53—22no—
302C22×C53—22no—
303C22×C53#38114yes—
304C22×C53C22×C22⋊C411yescharacteristic
305C22×C53C2×#12311yescharacteristic
306C22×C53C2×#12311yescharacteristic
307C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C53C2×#13711yescharacteristic
309C22×C53#57511yescharacteristic
310C22×C53#57511yescharacteristic
311C2×D53—22no—
312C2×D53—22no—
313C2×D53—22no—
314C2×D53—22no—
315C2×D53—22no—
316C2×D53—22no—
317C2×D53—22no—
318C2×D53—22no—
319C2×D53—22no—
320C2×D53—416no—
321C2×D53—41no—
322C2×D53—41no—
323C2×D53—41no—
324C2×D53—41no—
325C2×D53#41714yes—
326C4×C53—42no—
327C4×C53—42no—
328C4×C53—82no—
329C4×C53#38114yes—
330C4×C53C2×#11711yescharacteristic
331C4×C53C2×#11711yescharacteristic
332C4×C53C2×#12311yescharacteristic
333C4×C53C2×#12311yescharacteristic
334Dic53—22no—
335Dic53—22no—
336Dic53—42no—
337Dic53—42no—
338Dic53—82no—
339C22×#117—531no—
340C2×#407—531no—
341C2×#380—531no—
342#1825—532no—
343#1825—532no—
344#1824—532no—
345#1823—532no—
346#1736—531no—
347#1736—531no—
348#1736—531no—
349#1736D5311yescharacteristic, complemented
350C2×C53—24no—
351C2×C53C2×#38111yescharacteristic
352C2×C53C2×#41711yescharacteristic
353C2×C53#289611yescharacteristic
354C2×C53#309411yescharacteristic
355C2×C53#309411yescharacteristic
356C2×C53#309511yescharacteristic
357C2×C53#309511yescharacteristic
358D53—24no—
359D53—42no—
360C24×C4—531no—
361C22×M16—531no—
362C22×M16C2×D5311yescharacteristic
363C2×#117—531no—
364C2×#117—538no—
365C2×#117—531no—
366C2×#117—531no—
367C2×#117—1061no—
368C2×#117—1061no—
369C2×#117—1064no—
370C2×#117C2×D5311yescharacteristic
371C22×C4⋊C4—531no—
372C22×C4⋊C4—531no—
373C22×C4⋊C4—531no—
374C22×C4⋊C4C2×D5311yescharacteristic
375C22×C22⋊C4—1061no—
376C22×C22⋊C4—1061no—
377C22×C42—1061no—
378#407—1064no—
379C2×C22⋊C8—532no—
380C2×C22⋊C8—532no—
381#380—532no—
382#380—532no—
383#380—1061no—
384#380—1061no—
385C2×#95—1061no—
386#340—532no—
387#340—532no—
388#340—532no—
389#340—532no—
390#340—532no—
391#340—532no—
392#340C2×D5312yescomplemented
393#340C2×D5312yescomplemented
394C53#2070211yescharacteristic, complemented, Sylow
395C25—531no—
396C23×C4—21no—
397C23×C4—531no—
398C23×C4—534no—
399C23×C4—531no—
400C23×C4—534no—
401C23×C4—531no—
402C23×C4—531no—
403C23×C4—531no—
404C23×C4—1061no—
405C23×C4—1061no—
406C23×C4—1062no—
407C23×C4—1062no—
408C23×C4—1062no—
409C23×C4—1062no—
410C23×C4—1061no—
411C23×C4C22×D5311yescharacteristic
412C2×M16—22no—
413C2×M16—22no—
414C2×M16—22no—
415C2×M16—1062no—
416C2×M16—1062no—
417C2×M16—1062no—
418C22×C8—532no—
419C22×C8C22×D5312yes—
420#117—22no—
421#117—534no—
422#117—534no—
423#117—534no—
424#117—1068no—
425#117—1068no—
426#117—1062no—
427#117—1062no—
428#117—1062no—
429#117C4×D5314yes—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—531no—
434C2×C4⋊C4—531no—
435C2×C4⋊C4—534no—
436C2×C4⋊C4—534no—
437C2×C4⋊C4—532no—
438C2×C4⋊C4—1062no—
439C2×C4⋊C4—1062no—
440C2×C4⋊C4—1061no—
441C2×C4⋊C4—1061no—
442C2×C4⋊C4—1062no—
443C2×C4⋊C4—1062no—
444C2×C4⋊C4—1061no—
445C2×C4⋊C4C22×D5312yes—
446C2×C4⋊C4C22×D5311yescharacteristic
447C2×C4⋊C4C22×D5311yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1068no—
450C2×C22⋊C4—1061no—
451C2×C22⋊C4—1061no—
452C2×C22⋊C4—1061no—
453C2×C22⋊C4—1062no—
454C2×C22⋊C4—1062no—
455C2×C22⋊C4—2124no—
456C2×C42—21no—
457C2×C42—1068no—
458C2×C42—1061no—
459C2×C42—1061no—
460C2×C42—1061no—
461C22⋊C8—1064no—
462C22⋊C8—1064no—
463#95—1062no—
464#95—1062no—
465C24—531no—
466C24—531no—
467C24—534no—
468C24—1062no—
469C24—1062no—
470C24—1062no—
471C24—1062no—
472C24—2121no—
473C24—2121no—
474C24D4×D5311yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—534no—
482C22×C4—531no—
483C22×C4—531no—
484C22×C4—534no—
485C22×C4—534no—
486C22×C4—532no—
487C22×C4—532no—
488C22×C4—532no—
489C22×C4—532no—
490C22×C4—1064no—
491C22×C4—1064no—
492C22×C4—1062no—
493C22×C4—1062no—
494C22×C4—1068no—
495C22×C4—1068no—
496C22×C4—1062no—
497C22×C4—1062no—
498C22×C4—1068no—
499C22×C4—1062no—
500C22×C4—1062no—
501C22×C4—1068no—
502C22×C4—1061no—
503C22×C4—1061no—
504C22×C4—1061no—
505C22×C4—1061no—
506C22×C4—1061no—
507C22×C4—1061no—
508C22×C4—1061no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—1061no—
512C22×C4—1062no—
513C22×C4—2122no—
514C22×C4—2122no—
515C22×C4—2122no—
516C22×C4—2122no—
517C22×C4—2122no—
518C22×C4—2122no—
519C22×C4—2122no—
520C22×C4C2×C4×D5312yes—
521C22×C4#1171994512yes—
522C22×C4#1171994512yes—
523C22×C4D4×D5311yescharacteristic
524C22×C4D4×D5312yes—
525C22×C4#1171994712yes—
526C22×C4#1171994912yes—
527C22×C4C23×D5311yescharacteristic
528M16—44no—
529M16—2124no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—1062no—
534C2×C8—1062no—
535C2×C8—1062no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—42no—
541C4⋊C4—532no—
542C4⋊C4—532no—
543C4⋊C4—1064no—
544C4⋊C4—1064no—
545C4⋊C4—1061no—
546C4⋊C4—1061no—
547C4⋊C4—1062no—
548C4⋊C4—1062no—
549C4⋊C4—2122no—
550C4⋊C4C2×C4×D5312yes—
551C4⋊C4C2×C4×D5312yes—
552C22⋊C4—24no—
553C22⋊C4—1064no—
554C22⋊C4—1064no—
555C22⋊C4—1064no—
556C22⋊C4—2124no—
557C22⋊C4—2124no—
558C42—24no—
559C42—1064no—
560C42—1064no—
561C42—1064no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—532no—
567C23—532no—
568C23—532no—
569C23—532no—
570C23—1068no—
571C23—1061no—
572C23—1061no—
573C23—1061no—
574C23—1061no—
575C23—1061no—
576C23—1061no—
577C23—1061no—
578C23—1061no—
579C23—1061no—
580C23—1061no—
581C23—1068no—
582C23—2124no—
583C23—2124no—
584C23—2124no—
585C23—2124no—
586C23—2124no—
587C23C22⋊C4×D5312yes—
588C23#1313319912yes—
589C23#1313320212yes—
590C23C2×D4×D5311yescharacteristic
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—84no—
601C2×C4—532no—
602C2×C4—532no—
603C2×C4—1061no—
604C2×C4—1061no—
605C2×C4—1061no—
606C2×C4—1061no—
607C2×C4—1068no—
608C2×C4—1062no—
609C2×C4—1062no—
610C2×C4—1062no—
611C2×C4—1062no—
612C2×C4—1062no—
613C2×C4—1062no—
614C2×C4—1062no—
615C2×C4—1062no—
616C2×C4—1068no—
617C2×C4—1068no—
618C2×C4—1062no—
619C2×C4—1062no—
620C2×C4—4244no—
621C2×C4—2128no—
622C2×C4—2128no—
623C2×C4—2122no—
624C2×C4—2122no—
625C2×C4—2122no—
626C2×C4—2121no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4C22⋊C4×D5312yes—
631C2×C4#1313317414yes—
632C2×C4#1313317514yes—
633C2×C4#1313319914yes—
634C2×C4#1313319912yes—
635C2×C4#1313320214yes—
636C2×C4#1313320212yes—
637C2×C4C22×C4×D5311yescharacteristic
638C2×C4C2×D4×D5311yescharacteristic
639C2×C4C2×#1171994711yescharacteristic
640C2×C4C2×#1171994511yescharacteristic
641C2×C4C2×#1171994511yescharacteristic
642C2×C4C2×#1171994911yescharacteristic
643C8—42no—
644C8—2122no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—534no—
652C22—1062no—
653C22—1062no—
654C22—1062no—
655C22—1062no—
656C22—1062no—
657C22—1062no—
658C22—1062no—
659C22—1062no—
660C22—1062no—
661C22—21216no—
662C22—2121no—
663C22—2121no—
664C22—2121no—
665C22—2121no—
666C22#1681048514yes—
667C22C2×C22⋊C4×D5311yescharacteristic
668C22C2×#1313319911yescharacteristic
669C22C2×#1313320211yescharacteristic
670C22AGL(1,ℤ/8)×D5311yescharacteristic
671C22#137×D5311yescharacteristic
672C22#1681141911yescharacteristic
673C22#1681142211yescharacteristic
674C4—42no—
675C4—42no—
676C4—82no—
677C4—1062no—
678C4—1062no—
679C4—4242no—
680C4—2122no—
681C4—2122no—
682C4#1681048514yes—
683C4C2×#1313317411yescharacteristic
684C4C2×#1313317511yescharacteristic
685C4C2×#1313319911yescharacteristic
686C4C2×#1313320211yescharacteristic
687C2—24no—
688C2—1064no—
689C2—2122no—
690C2C2×#1681048511yescharacteristic
691C2#417×D5311yescharacteristic
692C2#2028323111yescharacteristic
693C2#2028465311yescharacteristic
694C2#2028465711yescharacteristic
695C2#2028466111yescharacteristic
696C2#2028466511yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1736C2
socleC23×C53C22×D4
prime radicalC24×D53D4
cosocleC22×C4×C53C24
hypercenter#1736D53
hypocenterC53#20702
LCSG ▷ C2×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. #20274809C2semidirect
5. #20274808C2semidirect
6. #20274804C2semidirect
7. #20274800C2semidirect
8. #20274436C2semidirect
9. #20274435C2semidirect
10. #20274434C2semidirect
11. C53×#1736C2semidirect
20. #117×D53C4semidirect
35. #16810386C22semidirect
36. #16810386C22semidirect
37. #16810385C22semidirect
38. #16810385C22semidirect
39. #16810385C22semidirect
40. #16810385C22semidirect
44. C53×#340C22semidirect
45. C53×#340C22semidirect
69. #13133175C2×C4semidirect
70. #13133175C2×C4semidirect
83. C4⋊C4×D53C2×C4semidirect
84. C4⋊C4×D53C2×C4semidirect
349. #1736D53semidirect
392. #340C2×D53semidirect
393. #340C2×D53semidirect
394. C53#20702semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D532
C2×#168105862
C2×#168104802
#202748092
#202748082
#202748042
#202748002
#202744362
#202744352
#202744342
C53×#17362
#2070253