Finite Group Databasebeta

← D53×#2059 #27412121

Subgroups — D53×#2059 #27412121

Order 13568.

1238 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D53C211yesmaximal, characteristic
2C2×#107×D53C211yesmaximal, characteristic
3C2×#106×D53C211yesmaximal, characteristic
4#389×D53C211yesmaximal, characteristic
5#20276056C211yesmaximal, characteristic, complemented
6#20276055C211yesmaximal, characteristic, complemented
7#20276054C211yesmaximal, characteristic, complemented
8#20276053C211yesmaximal, characteristic, complemented
9#20276052C211yesmaximal, characteristic, complemented
10#20276051C211yesmaximal, characteristic, complemented
11#20276050C211yesmaximal, characteristic, complemented
12#340×D53C211yesmaximal, characteristic
13#340×D53C211yesmaximal, characteristic
14#336×D53C211yesmaximal, characteristic
15C53×#2059C211yesmaximal, characteristic, complemented
16C22×C8×D53C2211yescharacteristic
17C22×C8×D53C2211yescharacteristic
18C2×#13133209C2211yescharacteristic
19C2×#13133208C2211yescharacteristic
20C2×#13133208C2211yescharacteristic
21C2×#13133207—21no—
22C2×#13133207—21no—
23#125×D53—24no—
24#125×D53—24no—
25C2×C4⋊C4×D53—21no—
26C2×C4⋊C4×D53—21no—
27C2×C4⋊C4×D53—21no—
28C2×C4⋊C4×D53C2211yescharacteristic
29C2×C4⋊C4×D53C2211yescharacteristic
30C2×C4⋊C4×D53C2211yescharacteristic
31C2×C4⋊C4×D53C2211yescharacteristic
32C2×C42×D53C2211yescharacteristic
33C2×#13133151C2211yescharacteristic
34C2×#13133150C2211yescharacteristic
35C2×#13133150C2211yescharacteristic
36#107×D53—24no—
37C2×#13133149C2211yescharacteristic
38C2×#13133148C2211yescharacteristic
39C2×#13133148C2211yescharacteristic
40#106×D53—24no—
41#16810522C2211yescharacteristic
42#16810521C2211yescharacteristic
43#16810520—21no—
44#16810519C2211yescharacteristic
45#16810518—21no—
46#95×D53—21no—
47#16810386C2211yescharacteristic
48#16810386C2211yescharacteristic
49#16810385C2211yescharacteristic
50#16810385C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810385C2211yescharacteristic
53#16810378C2211yescharacteristic
54#16810377C2211yescharacteristic
55#16810377C2211yescharacteristic
56C2×#125×C53C2211yescharacteristic
57C2×#107×C53C2211yescharacteristic
58C2×#106×C53C2211yescharacteristic
59C53×#389C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C53×#336C2211yescharacteristic
63C22×C4×D53—21no—
64C22×C4×D53—21no—
65C22×C4×D53—21no—
66C22×C4×D53—21no—
67C22×C4×D53D411yescharacteristic
68C22×C4×D53D411yescharacteristic
69C22×C4×D53C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72C2×C8×D53—22no—
73C2×C8×D53—22no—
74C2×C8×D53—22no—
75C2×C8×D53—22no—
76C2×C8×D53Q814yes—
77C2×C8×D53Q814yes—
78#13133209—22no—
79#13133209—22no—
80#13133208—22no—
81#13133208—22no—
82#13133208—22no—
83#13133208—22no—
84#13133207—28no—
85#13133207—28no—
86C2×C4⋊Dic53—21no—
87C2×C4⋊Dic53—21no—
88C2×C4⋊Dic53—21no—
89C2×C4⋊Dic53C2311yescharacteristic
90C2×C4⋊Dic53C2311yescharacteristic
91C2×C4⋊Dic53C2311yescharacteristic
92C2×C4⋊Dic53C2311yescharacteristic
93C2×#11719919—21no—
94C2×#11719919—21no—
95C2×#11719919—21no—
96C2×#11719919—21no—
97C2×#11719919—21no—
98C2×#11719919—21no—
99C2×#11719919—21no—
100C2×#11719919—21no—
101C2×#11719919—21no—
102C2×#11719919—21no—
103C4⋊C4×D53—28no—
104C4⋊C4×D53—28no—
105C4⋊C4×D53—22no—
106C4⋊C4×D53—22no—
107C4⋊C4×D53—22no—
108C4⋊C4×D53—22no—
109C4⋊C4×D53—22no—
110C4⋊C4×D53—44no—
111C4⋊C4×D53D414yes—
112C4⋊C4×D53D414yes—
113C4⋊C4×D53Q814yes—
114C2×C4×Dic53D411yescharacteristic
115C2×C4×Dic53D411yescharacteristic
116C2×C4×Dic53C2311yescharacteristic
117C42×D53—22no—
118C42×D53—22no—
119#13133151—22no—
120#13133150—22no—
121#13133150—22no—
122#13133149—22no—
123#13133148—22no—
124#13133148—22no—
125#13133124—21no—
126#13133124—21no—
127#13133124—21no—
128C22×C8×C53C2311yescharacteristic
129C22×C8×C53C2311yescharacteristic
130#125×C53—22no—
131#125×C53—22no—
132C2×C4⋊C4×C53—21no—
133C2×C4⋊C4×C53—21no—
134C2×C4⋊C4×C53—21no—
135C2×C4⋊C4×C53C2311yescharacteristic
136C2×C4⋊C4×C53C2311yescharacteristic
137C2×C4⋊C4×C53C2311yescharacteristic
138C2×C4⋊C4×C53C2311yescharacteristic
139C2×C42×C53C2311yescharacteristic
140#107×C53—22no—
141#106×C53—22no—
142#95×C53—21no—
143C23×D53C2×D411yescharacteristic
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53C2×D411yescharacteristic
149C22×C4×C53C2×D411yescharacteristic
150C22×C4×C53C2411yescharacteristic
151C22×Dic53—21no—
152C22×Dic53—21no—
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53C2×D411yescharacteristic
156C22×Dic53C2×D411yescharacteristic
157C22×Dic53C2×D411yescharacteristic
158C2×C4×D53—22no—
159C2×C4×D53—22no—
160C2×C4×D53—24no—
161C2×C4×D53—24no—
162C2×C4×D53—24no—
163C2×C4×D53—22no—
164C2×C4×D53—22no—
165C2×C4×D53—22no—
166C2×C4×D53—22no—
167C2×C4×D53—42no—
168C2×C4×D53—42no—
169C2×C4×D53—42no—
170C2×C4×D53—42no—
171C2×C4×D53—42no—
172C2×C4×D53—42no—
173C2×C4×D53—42no—
174C2×C4×D53—42no—
175C2×C4×D53—42no—
176C2×C4×D53C2×D412yes—
177C2×C4×D53C2×D412yes—
178C2×C4×D53C2×Q812yes—
179C2×C4×D53C2×Q812yes—
180C2×C4×D53C2×Q812yes—
181C2×C4×D53#4112yes—
182C2×C8×C53—21no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53C2×Q812yes—
187C2×C8×C53C2×Q812yes—
188C4⋊C4×C53—24no—
189C4⋊C4×C53—24no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—21no—
194C4⋊C4×C53—21no—
195C4⋊C4×C53—42no—
196C4⋊C4×C53C2×D412yes—
197C4⋊C4×C53C2×D412yes—
198C4⋊C4×C53C2×Q812yes—
199C42×C53—21no—
200C42×C53—21no—
201C4⋊Dic53—24no—
202C4⋊Dic53—24no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—42no—
209C4⋊Dic53C2×D412yes—
210C4⋊Dic53C2×D412yes—
211C4⋊Dic53C2×Q812yes—
212#11719919—24no—
213#11719919—24no—
214#11719919—24no—
215#11719919—24no—
216#11719919—24no—
217#11719919—24no—
218#11719919—24no—
219#11719919—42no—
220#11719919—42no—
221#11719919—42no—
222C4×Dic53—21no—
223C4×Dic53—21no—
224C4×Dic53—22no—
225C4×Dic53—22no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322C2×Q812yes—
231C2×#88322C2×Q812yes—
232C8×D53—28no—
233C8×D53—28no—
234C23×C53C22×D411yescharacteristic
235C22×D53#12012yes—
236C22×D53C22⋊Q812yes—
237C22×D53C4⋊Q812yes—
238C22×D53#13512yes—
239C22×D53#13512yes—
240C22×D53AGL(1,ℤ/8)12yes—
241C22×D53#13712yes—
242C2×C4×C53—22no—
243C2×C4×C53—22no—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—22no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—41no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53—41no—
255C2×C4×C53—41no—
256C2×C4×C53—41no—
257C2×C4×C53—41no—
258C2×C4×C53—41no—
259C2×C4×C53—41no—
260C2×C4×C53C22×D411yescharacteristic
261C2×C4×C53C22×D411yescharacteristic
262C2×C4×C53C22×Q811yescharacteristic
263C2×C4×C53C22×Q811yescharacteristic
264C2×C4×C53C22×Q811yescharacteristic
265C2×C4×C53C2×#4111yescharacteristic
266C2×Dic53—22no—
267C2×Dic53—22no—
268C2×Dic53—21no—
269C2×Dic53—21no—
270C2×Dic53—22no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—41no—
276C2×Dic53—41no—
277C2×Dic53—41no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53#12012yes—
285C2×Dic53C22⋊Q812yes—
286C2×Dic53C4⋊Q812yes—
287C4×D53—44no—
288C4×D53—48no—
289C4×D53—44no—
290C4×D53—48no—
291C4×D53—48no—
292C4×D53—84no—
293C4×D53C22⋊Q814yes—
294C4×D53C22⋊Q814yes—
295C4×D53C4⋊Q814yes—
296C4×D53C4⋊Q814yes—
297C8×C53—22no—
298C8×C53—22no—
299#88322—22no—
300#88322—22no—
301C2×#2059—531nomaximal, Sylow
302C22×C53C2×#12011yescharacteristic
303C22×C53C2×C22⋊Q811yescharacteristic
304C22×C53C2×C4⋊Q811yescharacteristic
305C22×C53C2×#13511yescharacteristic
306C22×C53C2×#13511yescharacteristic
307C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C53C2×#13711yescharacteristic
309C2×D53#39514yes—
310C2×D53#44914yes—
311C2×D53#45214yes—
312C2×D53#47814yes—
313C2×D53#47914yes—
314C2×D53#49914yes—
315C2×D53#50114yes—
316C4×C53—42no—
317C4×C53—41no—
318C4×C53—42no—
319C4×C53—41no—
320C4×C53—42no—
321C4×C53—81no—
322C4×C53C2×C22⋊Q811yescharacteristic
323C4×C53C2×C22⋊Q811yescharacteristic
324C4×C53C2×C4⋊Q811yescharacteristic
325C4×C53C2×C4⋊Q811yescharacteristic
326Dic53—42no—
327Dic53—41no—
328Dic53—42no—
329Dic53—41no—
330Dic53—42no—
331Dic53—81no—
332Dic53#39514yes—
333C22×#125—531no—
334C22×#107—531no—
335C22×#106—531no—
336C2×#389—531no—
337#2059—531no—
338#2059—531no—
339#2059—531no—
340#2059—531no—
341#2059—531no—
342#2059—531no—
343#2059—531no—
344#2059D5311yescharacteristic, direct product factor
345C2×#340—531no—
346C2×#340—531no—
347C2×#336—531no—
348C2×C53C2×#39511yescharacteristic
349C2×C53C2×#44911yescharacteristic
350C2×C53C2×#45211yescharacteristic
351C2×C53C2×#47811yescharacteristic
352C2×C53C2×#47911yescharacteristic
353C2×C53C2×#49911yescharacteristic
354C2×C53C2×#50111yescharacteristic
355D53#205918yesdirect product factor
356C23×C8—531no—
357C23×C8—531no—
358C2×#125—531no—
359C2×#125—531no—
360C2×#125—531no—
361C2×#125—1061no—
362C2×#125—1061no—
363C2×#125—1064no—
364C2×#125—1064no—
365C2×#125C2×D5311yescharacteristic
366C22×C4⋊C4—531no—
367C22×C4⋊C4—531no—
368C22×C4⋊C4—531no—
369C22×C4⋊C4—531no—
370C22×C4⋊C4—1061no—
371C22×C4⋊C4—1061no—
372C22×C4⋊C4—1061no—
373C22×C42—531no—
374C2×#107—531no—
375C2×#107—531no—
376C2×#107—531no—
377C2×#107—1064no—
378C2×#107C2×D5311yescharacteristic
379C2×#106—531no—
380C2×#106—531no—
381C2×#106—531no—
382C2×#106—1064no—
383C2×#106C2×D5311yescharacteristic
384#389—531no—
385#389—531no—
386#389—531no—
387#389—1061no—
388#389—1061no—
389#389C2×D5311yescharacteristic
390C2×#95—1061no—
391#340—531no—
392#340—531no—
393#340—531no—
394#340—531no—
395#340—531no—
396#340—531no—
397#340C2×D5311yescharacteristic
398#340C2×D5311yescharacteristic
399#336—531no—
400#336—531no—
401#336—531no—
402#336C2×D5311yescharacteristic
403C53C2×#205911yescharacteristic, complemented, Sylow
404C23×C4—531no—
405C23×C4—531no—
406C23×C4—531no—
407C23×C4—1061no—
408C23×C4—1061no—
409C23×C4—1061no—
410C23×C4—1061no—
411C22×C8—531no—
412C22×C8—531no—
413C22×C8—534no—
414C22×C8—534no—
415C22×C8—1062no—
416C22×C8—1062no—
417C22×C8—1062no—
418C22×C8—1062no—
419C22×C8C22×D5311yescharacteristic
420C22×C8C22×D5311yescharacteristic
421#125—22no—
422#125—22no—
423#125—1062no—
424#125—1062no—
425#125—1062no—
426#125—1062no—
427#125—1068no—
428#125—1068no—
429#125—1062no—
430#125—1062no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—531no—
435C2×C4⋊C4—531no—
436C2×C4⋊C4—531no—
437C2×C4⋊C4—534no—
438C2×C4⋊C4—534no—
439C2×C4⋊C4—534no—
440C2×C4⋊C4—531no—
441C2×C4⋊C4—1062no—
442C2×C4⋊C4—1062no—
443C2×C4⋊C4—1062no—
444C2×C4⋊C4—1068no—
445C2×C4⋊C4—1068no—
446C2×C4⋊C4—1062no—
447C2×C4⋊C4—1062no—
448C2×C4⋊C4—1061no—
449C2×C4⋊C4—1061no—
450C2×C4⋊C4—1061no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4—1061no—
453C2×C4⋊C4—1061no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4—2124no—
462C2×C4⋊C4C22×D5311yescharacteristic
463C2×C4⋊C4C22×D5311yescharacteristic
464C2×C4⋊C4C22×D5311yescharacteristic
465C2×C4⋊C4C22×D5311yescharacteristic
466C2×C42—531no—
467C2×C42—531no—
468C2×C42—531no—
469C2×C42—1062no—
470C2×C42—1062no—
471C2×C42C22×D5311yescharacteristic
472#107—22no—
473#107—1062no—
474#107—1062no—
475#107—1062no—
476#106—22no—
477#106—1062no—
478#106—1062no—
479#106—1062no—
480#95—21no—
481#95—1061no—
482#95—1061no—
483#95—1061no—
484C24—531no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—531no—
490C22×C4—532no—
491C22×C4—532no—
492C22×C4—532no—
493C22×C4—532no—
494C22×C4—532no—
495C22×C4—532no—
496C22×C4—531no—
497C22×C4—531no—
498C22×C4—1062no—
499C22×C4—1062no—
500C22×C4—1064no—
501C22×C4—1064no—
502C22×C4—1064no—
503C22×C4—1062no—
504C22×C4—1062no—
505C22×C4—1062no—
506C22×C4—1062no—
507C22×C4—1061no—
508C22×C4—1061no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—2122no—
512C22×C4—2122no—
513C22×C4—2122no—
514C22×C4—2122no—
515C22×C4—2122no—
516C22×C4—2122no—
517C22×C4—2122no—
518C22×C4—2122no—
519C22×C4—2122no—
520C22×C4D4×D5311yescharacteristic
521C22×C4D4×D5311yescharacteristic
522C22×C4C23×D5311yescharacteristic
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—532no—
528C2×C8—532no—
529C2×C8—1068no—
530C2×C8—1068no—
531C2×C8—1061no—
532C2×C8—1061no—
533C2×C8—1061no—
534C2×C8—1061no—
535C2×C8Q8×D5312yes—
536C2×C8Q8×D5312yes—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—532no—
546C4⋊C4—532no—
547C4⋊C4—532no—
548C4⋊C4—1064no—
549C4⋊C4—1064no—
550C4⋊C4—1064no—
551C4⋊C4—1064no—
552C4⋊C4—1064no—
553C4⋊C4—1064no—
554C4⋊C4—1064no—
555C4⋊C4—1064no—
556C4⋊C4—1064no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—2122no—
563C4⋊C4—2122no—
564C4⋊C4—2122no—
565C4⋊C4—2122no—
566C4⋊C4D4×D5312yes—
567C4⋊C4D4×D5312yes—
568C4⋊C4Q8×D5312yes—
569C42—21no—
570C42—21no—
571C42—1062no—
572C42—1062no—
573C42—1061no—
574C42—1061no—
575C23—532no—
576C23—532no—
577C23—532no—
578C23—532no—
579C23—532no—
580C23—532no—
581C23—532no—
582C23C2×D4×D5311yescharacteristic
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—532no—
602C2×C4—532no—
603C2×C4—532no—
604C2×C4—534no—
605C2×C4—534no—
606C2×C4—534no—
607C2×C4—534no—
608C2×C4—1061no—
609C2×C4—1061no—
610C2×C4—1062no—
611C2×C4—1062no—
612C2×C4—1062no—
613C2×C4—1061no—
614C2×C4—1061no—
615C2×C4—1061no—
616C2×C4—1061no—
617C2×C4—4244no—
618C2×C4—2124no—
619C2×C4—2124no—
620C2×C4—2128no—
621C2×C4—2128no—
622C2×C4—2128no—
623C2×C4—2121no—
624C2×C4—2121no—
625C2×C4—2121no—
626C2×C4—2121no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4—2121no—
631C2×C4—2121no—
632C2×C4C2×D4×D5311yescharacteristic
633C2×C4C2×D4×D5311yescharacteristic
634C2×C4C2×Q8×D5311yescharacteristic
635C2×C4C2×Q8×D5311yescharacteristic
636C2×C4C2×Q8×D5311yescharacteristic
637C2×C4#41×D5311yescharacteristic
638C8—22no—
639C8—22no—
640C8—1062no—
641C8—1062no—
642C22—534no—
643C22—534no—
644C22—534no—
645C22—534no—
646C22—534no—
647C22—534no—
648C22—534no—
649C22#120×D5311yescharacteristic
650C22C22⋊Q8×D5311yescharacteristic
651C22C4⋊Q8×D5311yescharacteristic
652C22#135×D5311yescharacteristic
653C22#135×D5311yescharacteristic
654C22AGL(1,ℤ/8)×D5311yescharacteristic
655C22#137×D5311yescharacteristic
656C4—41no—
657C4—42no—
658C4—41no—
659C4—42no—
660C4—42no—
661C4—81no—
662C4—534no—
663C4—4241no—
664C4—2121no—
665C4—2122no—
666C4—2121no—
667C4—2122no—
668C4—2122no—
669C4C22⋊Q8×D5311yescharacteristic
670C4C22⋊Q8×D5311yescharacteristic
671C4C4⋊Q8×D5311yescharacteristic
672C4C4⋊Q8×D5311yescharacteristic
673C2—538no—
674C2#395×D5311yescharacteristic
675C2#449×D5311yescharacteristic
676C2#452×D5311yescharacteristic
677C2#478×D5311yescharacteristic
678C2#479×D5311yescharacteristic
679C2#499×D5311yescharacteristic
680C2#501×D5311yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2059C2
socleC23×C53C22×D4
prime radicalC23×D53C2×D4
hypercenter#2059D53
hypocenterC53C2×#2059
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2059

Complements

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

NH ≅ G/Ntype
5. #20276056C2semidirect
6. #20276055C2semidirect
7. #20276054C2semidirect
8. #20276053C2semidirect
9. #20276052C2semidirect
10. #20276051C2semidirect
11. #20276050C2semidirect
15. C53×#2059C2semidirect
344. #2059D53direct (N × H)
355. D53#2059direct (N × H)
403. C53C2×#2059semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D532
C2×#107×D532
C2×#106×D532
#389×D532
#202760562
#202760552
#202760542
#202760532
#202760522
#202760512
#202760502
#340×D532
#336×D532
C53×#20592
C2×#205953