Finite Group Databasebeta

← #27556743

Subgroups — #27556743

Order 13568.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811222C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D53C211yesmaximal, characteristic, complemented
3#20283008C212yesmaximal, complemented
4#20282999C211yesmaximal, characteristic, complemented
5#20282998C211yesmaximal, characteristic
6#20280501C212yesmaximal, complemented
7#20280457C211yesmaximal, characteristic, complemented
8#20278979C214yesmaximal, complemented
9#20278859C214yesmaximal, complemented
10#20278517C214yesmaximal, complemented
11#20278451C214yesmaximal, complemented
12#20277381C212yesmaximal, complemented
13#20277317C211yesmaximal, characteristic, complemented
14#20277216C212yesmaximal, complemented
15C53×#2627C211yesmaximal, characteristic, complemented
16C23×C4×D53C2211yescharacteristic
17C23×C4×D53C2211yescharacteristic
18C23×C4×D53C2211yescharacteristic
19#16811222—28no—
20C2×#13133212C2212yescomplemented
21C2×#13133208C2212yescomplemented
22C2×#13133202C2212yescomplemented
23C2×#13133201C2212yes—
24C2×#13133200C2212yes—
25C2×#13133193C2212yes—
26C2×#13133193C2212yescomplemented
27C2×#13133192C2212yes—
28C2×#13133191C2211yescharacteristic
29C2×#13133187C2212yes—
30C2×#13133179C2214yes—
31C2×#13133177C2212yes—
32C22×C4⋊Dic53C2211yescharacteristic
33C22×#11719919C2211yescharacteristic
34C22×#11719919C2211yescharacteristic
35C2×C4⋊C4×D53—28no—
36C2×C4⋊C4×D53C2214yes—
37C2×C4⋊C4×D53C2214yes—
38#16810565C2214yescomplemented
39#16810558C2214yescomplemented
40#16810556C2214yescomplemented
41#16810553C2212yescomplemented
42#16810552C2214yescomplemented
43#16810545C2214yescomplemented
44#16810540C2212yescomplemented
45#16810520C2214yescomplemented
46#16810515C2214yescomplemented
47#16810510C2214yescomplemented
48#16810510C2214yescomplemented
49#16810504C2214yescomplemented
50#16810502C2212yes—
51#16810501C2214yes—
52#16810501C2214yes—
53#16810501C2214yes—
54#16810501C2214yes—
55#16810500C2212yes—
56#16810497C2214yes—
57#16810497C2214yes—
58#16810497C2214yescomplemented
59#16810495C2212yes—
60#16810494C2214yes—
61#16810494C2214yes—
62#16810484C2212yes—
63#16810483C2211yescharacteristic
64#16810480C2212yes—
65#16810480C2212yes—
66#16810478C2212yes—
67C22⋊C4×Dic53C2212yes—
68#16810470C2214yes—
69C2×C22⋊Q8×C53C2211yescharacteristic
70C22×C4⋊C4×C53C2211yescharacteristic
71C53×#400C2212yescomplemented
72C53×#398C2214yescomplemented
73C53×#395C2212yescomplemented
74C53×#385C2212yes—
75C53×#381C2212yes—
76C53×#380C2211yescharacteristic
77C24×D53C2311yescharacteristic
78C22×D212C2314yes—
79C22×D212C2311yescharacteristic
80C22×C22⋊D53C2312yes—
81C23×Dic53C2311yescharacteristic
82C23×Dic53C2311yescharacteristic
83C23×Dic53C2311yescharacteristic
84C22×C4×D53—24no—
85C22×C4×D53—24no—
86C22×C4×D53—24no—
87C22×C4×D53—24no—
88C22×C4×D53—24no—
89C22×C4×D53—44no—
90C22×C4×D53—44no—
91C22×C4×D53C2314yes—
92C22×C4×D53C2312yes—
93C22×C4×D53C2314yes—
94C22×C4×D53C2312yes—
95C22×C4×D53C2312yes—
96#13133212—28no—
97#13133208—28no—
98#13133202—28no—
99#13133201—28no—
100#13133200—28no—
101#13133193—28no—
102#13133193—44no—
103#13133192—44no—
104#13133191—24no—
105#13133187—28no—
106#13133179—48no—
107#13133177—28no—
108C2×C4⋊Dic53—24no—
109C2×C4⋊Dic53C2312yes—
110C2×C4⋊Dic53C2312yes—
111C2×C4⋊Dic53C2314yes—
112C2×C4⋊Dic53C2311yescharacteristic
113C2×C4⋊Dic53C2312yes—
114C2×#11719919—24no—
115C2×#11719919D418yescomplemented
116C2×#11719919C2314yes—
117C2×#11719919C2312yes—
118C2×#11719919C2314yes—
119C2×#11719919C2314yes—
120C2×#11719919C2312yes—
121C2×#11719919C2312yes—
122C4⋊C4×D53—216no—
123C4⋊C4×D53—216no—
124C2×C22⋊Dic53C2312yes—
125C2×#11719921C2314yes—
126C2×#11719921C2314yes—
127C2×#11719921C2314yes—
128C2×#11719921C2314yes—
129C2×#11719921C2312yes—
130C2×#11719921C2312yes—
131C2×#11719921C2312yes—
132C2×#11719921C2312yes—
133C2×#11719921C2314yes—
134C2×#11719921C2314yes—
135C2×C4×Dic53C2312yes—
136C2×C4×Dic53C2314yes—
137#13133124C2314yes—
138#13133124C2314yes—
139#13133124C2314yes—
140#13133124C2314yes—
141#13133124C2314yes—
142#13133124C2312yes—
143#13133124C2314yes—
144C22×Q8×C53C2311yescharacteristic
145C23×C4×C53C2311yescharacteristic
146C23×C4×C53C2311yescharacteristic
147C23×C4×C53C2311yescharacteristic
148C22⋊Q8×C53—24no—
149C2×C4⋊C4×C53—24no—
150C2×C4⋊C4×C53C2312yes—
151C2×C4⋊C4×C53C2312yes—
152C2×C4⋊C4×C53C2312yes—
153C2×C4⋊C4×C53C2311yescharacteristic
154C2×C4⋊C4×C53C2312yes—
155C2×C4⋊C4×C53C2314yes—
156C2×C22⋊C4×C53C2312yes—
157C2×C22⋊C4×C53C2312yes—
158#95×C53C2314yes—
159#95×C53C2314yes—
160#95×C53C2312yes—
161#95×C53C2314yes—
162C24×C53C2411yescharacteristic
163C23×D53—22no—
164C23×D53—22no—
165C23×D53—24no—
166C23×D53—24no—
167C23×D53#4114yes—
168C23×D53C2412yes—
169C23×D53C2412yes—
170C2×Q8×C53—22no—
171C2×Q8×C53—42no—
172C22×C4×C53—22no—
173C22×C4×C53—22no—
174C22×C4×C53—22no—
175C22×C4×C53—42no—
176C22×C4×C53—42no—
177C22×C4×C53C2×D414yes—
178C22×C4×C53#4114yes—
179C22×C4×C53C2414yes—
180C22×C4×C53C2412yes—
181C22×C4×C53C2412yes—
182C22×C4×C53C2412yes—
183C22×C4×C53C2411yescharacteristic
184C22×C4×C53C2411yescharacteristic
185C22×C4×C53C2412yes—
186C2×C22⋊D53—24no—
187C2×C22⋊D53—24no—
188C2×C22⋊D53—24no—
189C22×Dic53—22no—
190C22×Dic53—22no—
191C22×Dic53—22no—
192C22×Dic53—42no—
193C22×Dic53—42no—
194C22×Dic53C2×D414yes—
195C22×Dic53C2×D414yes—
196C22×Dic53C2414yes—
197C22×Dic53C2412yes—
198C22×Dic53C2412yes—
199C22×Dic53C2412yes—
200C22×Dic53C2412yes—
201C2×D212—28no—
202C2×D212—28no—
203C2×D212—28no—
204C2×D212—22no—
205C2×D212—42no—
206C2×C4×D53—232no—
207C2×C4×D53—28no—
208C2×C4×D53—28no—
209C2×C4×D53—28no—
210C2×C4×D53—28no—
211C2×C4×D53—24no—
212C2×C4×D53—24no—
213C2×C4×D53—24no—
214C2×C4×D53—24no—
215C2×C4×D53—28no—
216C2×C4×D53—24no—
217C2×C4×D53—44no—
218C2×C4×D53—42no—
219C2×C4×D53—42no—
220C2×C4×D53—416no—
221C2×C4×D53—416no—
222C2×C4×D53—44no—
223C4⋊C4×C53—24no—
224C4⋊C4×C53—24no—
225C4⋊C4×C53—24no—
226C4⋊C4×C53—22no—
227C4⋊C4×C53—44no—
228C4⋊C4×C53—42no—
229C22⋊C4×C53—24no—
230C22⋊C4×C53—24no—
231C22⋊Dic53—24no—
232#11719921—28no—
233#11719921—28no—
234#11719921—28no—
235#11719921—24no—
236#11719921—28no—
237#11719921—24no—
238#11719921—24no—
239#11719921—24no—
240#11719921—44no—
241#11719921—44no—
242C4⋊Dic53—22no—
243C4⋊Dic53—28no—
244C4⋊Dic53—24no—
245C4⋊Dic53—24no—
246C4⋊Dic53—42no—
247#11719919—28no—
248#11719919—28no—
249#11719919—24no—
250#11719919—44no—
251#11719919C2×D418yes—
252#11719919C2×D418yes—
253C4×Dic53—24no—
254C4×Dic53—44no—
255C23×C53—22no—
256C23×C53—22no—
257C23×C53C22×D412yes—
258C23×C53C2×#4112yes—
259C23×C53C2×#4112yes—
260C23×C53C2511yescharacteristic
261C22×D53—28no—
262C22×D53—28no—
263C22×D53—216no—
264C22×D53—28no—
265C22×D53—22no—
266C22×D53—22no—
267C22×D53—22no—
268C22×D53—22no—
269C22×D53—216no—
270C22×D53—22no—
271C22×D53—22no—
272C22×D53—22no—
273C22×D53—24no—
274C22×D53—24no—
275C22×D53C2×#4114yes—
276C22×D53H(5,𝔽2)14yes—
277C22×D532−1+414yes—
278Q8×C53—82no—
279C2×C4×C53—28no—
280C2×C4×C53—22no—
281C2×C4×C53—22no—
282C2×C4×C53—22no—
283C2×C4×C53—22no—
284C2×C4×C53—22no—
285C2×C4×C53—22no—
286C2×C4×C53—22no—
287C2×C4×C53—24no—
288C2×C4×C53—24no—
289C2×C4×C53—24no—
290C2×C4×C53—24no—
291C2×C4×C53—24no—
292C2×C4×C53—24no—
293C2×C4×C53—44no—
294C2×C4×C53—44no—
295C2×C4×C53C22×D412yes—
296C2×C4×C53C22×D412yes—
297C2×C4×C53C2×#4114yes—
298C22⋊D53—48no—
299C2×Dic53—28no—
300C2×Dic53—22no—
301C2×Dic53—22no—
302C2×Dic53—24no—
303C2×Dic53—22no—
304C2×Dic53—22no—
305C2×Dic53—22no—
306C2×Dic53—22no—
307C2×Dic53—24no—
308C2×Dic53—22no—
309C2×Dic53—22no—
310C2×Dic53—24no—
311C2×Dic53—24no—
312C2×Dic53—44no—
313C2×Dic53—44no—
314C2×Dic53C22×D414yes—
315C2×Dic53C22×D414yes—
316D212—416no—
317D212—82no—
318C4×D53—232no—
319C4×D53—416no—
320C4×D53—48no—
321C4×D53—48no—
322C4×D53—84no—
323#34989—531nomaximal, Sylow
324C22×C53—24no—
325C22×C53—22no—
326C22×C53—22no—
327C22×C53—24no—
328C22×C53#52514yes—
329C22×C53C23×D411yescharacteristic
330C22×C53C22×#4111yescharacteristic
331C22×C53C22×#4111yescharacteristic
332C22×C53C2×H(5,𝔽2)12yes—
333C22×C53C2×2−1+412yes—
334C2×D53—232no—
335C2×D53—24no—
336C2×D53—24no—
337C2×D53—24no—
338C2×D53—24no—
339C2×D53—24no—
340C2×D53—24no—
341C2×D53—42no—
342C2×D53—44no—
343C2×D53—42no—
344C2×D53—42no—
345C2×D53—44no—
346C2×D53#53918yescomplemented
347C4×C53—24no—
348C4×C53—22no—
349C4×C53—22no—
350C4×C53—44no—
351C4×C53—42no—
352C4×C53—42no—
353C4×C53—42no—
354Dic53—24no—
355Dic53—24no—
356Dic53—42no—
357Dic53—42no—
358Dic53—44no—
359C2×#539—531no—
360C23×C4⋊C4—531no—
361#2849—532no—
362#2848—531no—
363#2847—531no—
364#2627D5311yescharacteristic, complemented
365#2623—532no—
366#2618—531no—
367#2481—534no—
368#2473—534no—
369#2449—534no—
370#2443—534no—
371#2322—532no—
372#2313—531no—
373C4×#120—532no—
374C2×C53—24no—
375C2×C53C2×#52511yescharacteristic
376C2×C53C2×#53912yes—
377C2×C53#348411yescharacteristic
378C2×C53#348611yescharacteristic
379C2×C53#349212yes—
380D53—28no—
381D53—82no—
382C24×C4—531no—
383C24×C4—531no—
384C24×C4—531no—
385#539—1068no—
386C2×#126—532no—
387C2×#125—532no—
388C2×#123—532no—
389C2×#123—532no—
390C2×#123—532no—
391C2×C22⋊Q8—532no—
392C2×C22⋊Q8—532no—
393C2×C22⋊Q8C2×D5311yescharacteristic
394C2×#121—531no—
395C2×#121—532no—
396C2×#120—532no—
397C2×C4×D4—534no—
398C2×C4×D4—532no—
399C22×C4⋊C4—531no—
400C22×C4⋊C4—531no—
401C22×C4⋊C4—531no—
402C22×C4⋊C4—534no—
403C22×C4⋊C4—534no—
404C22×C4⋊C4—1068no—
405C22×C4⋊C4C2×D5311yescharacteristic
406#400—534no—
407#400C2×D5312yescomplemented
408#399—534no—
409#398—532no—
410#398—534no—
411#398C2×D5314yescomplemented
412#397—534no—
413#396—534no—
414#395C2×D5312yescomplemented
415#394—532no—
416#389—534no—
417#388—534no—
418#387—534no—
419#387—534no—
420#387—534no—
421#386—532no—
422#386—532no—
423#386—534no—
424#386—534no—
425#386—534no—
426#386—534no—
427#385—534no—
428#385—534no—
429#385—532no—
430#385—534no—
431#385—534no—
432#385—534no—
433#385C2×D5312yes—
434#381—532no—
435#381C2×D5312yes—
436#380—531no—
437#380—532no—
438#380—532no—
439#380C2×D5311yescharacteristic
440#379—532no—
441C4×C22⋊C4—532no—
442C4×C22⋊C4—534no—
443C53#3498911yescharacteristic, complemented, Sylow
444C25—531no—
445C22×Q8C22×D5311yescharacteristic
446C22×D4—532no—
447C22×D4—534no—
448C22×D4—531no—
449C23×C4—531no—
450C23×C4—531no—
451C23×C4—531no—
452C23×C4—534no—
453C23×C4—534no—
454C23×C4—532no—
455C23×C4—532no—
456C23×C4—532no—
457C23×C4—1064no—
458C23×C4—1064no—
459C23×C4—1064no—
460C23×C4—1064no—
461C23×C4—1064no—
462C23×C4—2124no—
463C23×C4—2124no—
464C23×C4C22×D5311yescharacteristic
465C23×C4C22×D5311yescharacteristic
466C23×C4C22×D5311yescharacteristic
467#126—1068no—
468#125—1068no—
469#123—1068no—
470#123—1068no—
471#123—1068no—
472C22⋊Q8—24no—
473C22⋊Q8—1068no—
474C22⋊Q8—2124no—
475#121—1064no—
476#121—2124no—
477#120—1068no—
478C4×D4—1068no—
479C4×D4—2128no—
480C2×C4⋊C4—24no—
481C2×C4⋊C4—538no—
482C2×C4⋊C4—532no—
483C2×C4⋊C4—532no—
484C2×C4⋊C4—534no—
485C2×C4⋊C4—534no—
486C2×C4⋊C4—532no—
487C2×C4⋊C4—531no—
488C2×C4⋊C4—532no—
489C2×C4⋊C4—532no—
490C2×C4⋊C4—534no—
491C2×C4⋊C4—534no—
492C2×C4⋊C4—532no—
493C2×C4⋊C4—10616no—
494C2×C4⋊C4—10616no—
495C2×C4⋊C4—1064no—
496C2×C4⋊C4—1064no—
497C2×C4⋊C4C22×D5312yes—
498C2×C4⋊C4C22×D5312yes—
499C2×C4⋊C4C22×D5312yes—
500C2×C4⋊C4C22×D5311yescharacteristic
501C2×C4⋊C4C22×D5314yes—
502C2×C4⋊C4C22×D5312yes—
503C2×C22⋊C4—532no—
504C2×C22⋊C4—534no—
505C2×C22⋊C4—532no—
506C2×C22⋊C4—534no—
507C2×C22⋊C4—532no—
508C2×C22⋊C4—532no—
509C2×C22⋊C4—532no—
510C2×C22⋊C4—534no—
511C2×C22⋊C4—534no—
512C2×C22⋊C4—534no—
513C2×C22⋊C4—534no—
514C2×C22⋊C4C22×D5312yes—
515C2×C22⋊C4C22×D5312yes—
516C2×C42—532no—
517C2×C42—534no—
518#95—534no—
519#95—534no—
520#95—532no—
521#95—534no—
522#95—534no—
523#95—534no—
524#95—534no—
525#95C22×D5314yes—
526#95C22×D5312yes—
527#95C22×D5314yes—
528#95C22×D5314yes—
529C24—532no—
530C24—534no—
531C24—532no—
532C24—1064no—
533C24—1064no—
534C24—1062no—
535C24—1062no—
536C24C23×D5311yescharacteristic
537C2×Q8—22no—
538C2×Q8—42no—
539C2×D4—1068no—
540C2×D4—1068no—
541C2×D4—1068no—
542C2×D4—1064no—
543C2×D4—1064no—
544C2×D4—1064no—
545C2×D4—1062no—
546C2×D4—2122no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—534no—
553C22×C4—532no—
554C22×C4—532no—
555C22×C4—534no—
556C22×C4—534no—
557C22×C4—532no—
558C22×C4—532no—
559C22×C4—1068no—
560C22×C4—1064no—
561C22×C4—1068no—
562C22×C4—1068no—
563C22×C4—10632no—
564C22×C4—1068no—
565C22×C4—1064no—
566C22×C4—1064no—
567C22×C4—1062no—
568C22×C4—1062no—
569C22×C4—1068no—
570C22×C4—1062no—
571C22×C4—1064no—
572C22×C4—1064no—
573C22×C4—2124no—
574C22×C4—2122no—
575C22×C4—2122no—
576C22×C4—2124no—
577C22×C4—21216no—
578C22×C4—21216no—
579C22×C4—2122no—
580C22×C4—2122no—
581C22×C4D4×D5314yes—
582C22×C4#1171994914yes—
583C22×C4C23×D5314yes—
584C22×C4C23×D5312yes—
585C22×C4C23×D5312yes—
586C22×C4C23×D5312yes—
587C22×C4C23×D5311yescharacteristic
588C22×C4C23×D5311yescharacteristic
589C22×C4C23×D5312yes—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—24no—
593C4⋊C4—22no—
594C4⋊C4—44no—
595C4⋊C4—42no—
596C4⋊C4—538no—
597C4⋊C4—538no—
598C4⋊C4—1068no—
599C4⋊C4—1068no—
600C4⋊C4—1064no—
601C4⋊C4—1064no—
602C4⋊C4—1064no—
603C4⋊C4—1062no—
604C4⋊C4—1068no—
605C4⋊C4—2124no—
606C4⋊C4—2122no—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—1064no—
610C22⋊C4—1064no—
611C22⋊C4—1064no—
612C22⋊C4—1068no—
613C22⋊C4—1068no—
614C22⋊C4—1068no—
615C22⋊C4—1064no—
616C22⋊C4—1064no—
617C22⋊C4—1068no—
618C22⋊C4—2124no—
619C22⋊C4—2124no—
620C42—1064no—
621C42—2124no—
622C23—22no—
623C23—22no—
624C23—534no—
625C23—534no—
626C23—534no—
627C23—10616no—
628C23—1068no—
629C23—1068no—
630C23—10616no—
631C23—1068no—
632C23—1062no—
633C23—1062no—
634C23—1062no—
635C23—1062no—
636C23—1062no—
637C23—1062no—
638C23—1062no—
639C23—1064no—
640C23—1064no—
641C23C2×D4×D5312yes—
642C23#41×D5312yes—
643C23C2×#1171994912yes—
644C23C24×D5311yescharacteristic
645Q8—82no—
646D4—4242no—
647D4—21216no—
648D4—2128no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—534no—
666C2×C4—534no—
667C2×C4—10632no—
668C2×C4—1068no—
669C2×C4—1062no—
670C2×C4—1062no—
671C2×C4—1064no—
672C2×C4—1062no—
673C2×C4—1062no—
674C2×C4—1062no—
675C2×C4—1064no—
676C2×C4—1062no—
677C2×C4—1064no—
678C2×C4—1062no—
679C2×C4—1062no—
680C2×C4—1064no—
681C2×C4—4244no—
682C2×C4—2128no—
683C2×C4—2128no—
684C2×C4—21216no—
685C2×C4—2124no—
686C2×C4—2124no—
687C2×C4C2×D4×D5312yes—
688C2×C4C2×D4×D5312yes—
689C2×C4C2×#1171994914yes—
690C22—24no—
691C22—22no—
692C22—22no—
693C22—24no—
694C22—538no—
695C22—10632no—
696C22—1064no—
697C22—1064no—
698C22—1064no—
699C22—1064no—
700C22—1064no—
701C22—1064no—
702C22—2124no—
703C22—2122no—
704C22—2122no—
705C22—2124no—
706C22—2122no—
707C22#1681113614yes—
708C22C22×D4×D5311yescharacteristic
709C22C2×#41×D5311yescharacteristic
710C22C22×#1171994911yescharacteristic
711C22H(5,𝔽2)×D5312yes—
712C222−1+4×D5312yes—
713C4—22no—
714C4—22no—
715C4—24no—
716C4—44no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—1064no—
721C4—1064no—
722C4—2122no—
723C4—2124no—
724C4—2122no—
725C2—24no—
726C2—1068no—
727C2—4242no—
728C2C2×#1681113611yescharacteristic
729C2#539×D5312yes—
730C2#2028834711yescharacteristic
731C2#2028836411yescharacteristic
732C2#2028842512yes—
subgroupG/H
center, FrattiniC23C24×D53
commutator, socle, cosocleC23×C53C25
FittingC53×#2627C2
prime radical#20282998C2
hypercenter#2627D53
hypocenterC53#34989
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C23 ◁ #2627

Complements

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

NH ≅ G/Ntype
1. C2×#16811222C2semidirect
2. C22×C4⋊C4×D53C2semidirect
3. #20283008C2semidirect
4. #20282999C2semidirect
6. #20280501C2semidirect
7. #20280457C2semidirect
8. #20278979C2semidirect
9. #20278859C2semidirect
10. #20278517C2semidirect
11. #20278451C2semidirect
12. #20277381C2semidirect
13. #20277317C2semidirect
14. #20277216C2semidirect
15. C53×#2627C2semidirect
20. C2×#13133212C22semidirect
21. C2×#13133208C22semidirect
22. C2×#13133202C22semidirect
26. C2×#13133193C22semidirect
38. #16810565C22semidirect
39. #16810558C22semidirect
40. #16810556C22semidirect
41. #16810553C22semidirect
42. #16810552C22semidirect
43. #16810545C22semidirect
44. #16810540C22semidirect
45. #16810520C22semidirect
46. #16810515C22semidirect
47. #16810510C22semidirect
48. #16810510C22semidirect
49. #16810504C22semidirect
58. #16810497C22semidirect
71. C53×#400C22semidirect
72. C53×#398C22semidirect
73. C53×#395C22semidirect
115. C2×#11719919D4semidirect
346. C2×D53#539semidirect
364. #2627D53semidirect
407. #400C2×D53semidirect
411. #398C2×D53semidirect
414. #395C2×D53semidirect
443. C53#34989semidirect

Maximal subgroups

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

subgroupindex
C2×#168112222
C22×C4⋊C4×D532
#202830082
#202829992
#202829982
#202805012
#202804572
#202789792
#202788592
#202785172
#202784512
#202773812
#202773172
#202772162
C53×#26272
#3498953