Finite Group Databasebeta

← #27320502

Subgroups — #27320502

Order 13568.

2062 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13133176C211yesmaximal, characteristic, complemented
2C2×#16810511C212yesmaximal, complemented
3#20272979C211yesmaximal, characteristic, complemented
4#20272971C211yesmaximal, characteristic, complemented
5#20272960C211yesmaximal, characteristic, complemented
6#20272960C211yesmaximal, characteristic, complemented
7#20272958C212yesmaximal, complemented
8#20272956C212yesmaximal
9#20272939C212yesmaximal, complemented
10#20272938C211yesmaximal, characteristic, complemented
11C2×C53×#386C211yesmaximal, characteristic
12C2×#13133176—28no—
13C2×#13133176—24no—
14C22×C4⋊Dic53C2211yescharacteristic
15C22×C4⋊Dic53C2211yescharacteristic
16C22×#11719919C2212yes—
17C22×C22⋊Dic53C2212yes—
18C22×C22⋊Dic53C2212yes—
19C22×C22⋊Dic53C2212yes—
20C22×C22⋊Dic53C2212yes—
21C22×C4×Dic53C2212yes—
22#16810511—28no—
23C2×#13133124C2212yes—
24C2×#13133124C2211yescharacteristic
25C2×#13133124C2211yescharacteristic
26C2×#13133124C2212yes—
27C2×#13133124C2212yes—
28C2×#13133124C2212yes—
29C2×#13133124C2212yes—
30C2×#13133124C2212yes—
31C23×D4×C53C2211yescharacteristic
32C24×C4×C53C2211yescharacteristic
33C22×C22⋊C4×C53C2211yescharacteristic
34C22×C22⋊C4×C53C2211yescharacteristic
35C22×C22⋊C4×C53C2211yescharacteristic
36C53×#386—24no—
37C2×#95×C53C2211yescharacteristic
38C2×#95×C53C2211yescharacteristic
39C23×Dic53C2312yes—
40C23×Dic53C2312yes—
41C23×Dic53C2312yes—
42C23×Dic53C2312yes—
43#13133176—232no—
44C2×C4⋊Dic53—22no—
45C2×C4⋊Dic53—22no—
46C2×C4⋊Dic53—24no—
47C2×C4⋊Dic53—24no—
48C2×#11719919—24no—
49C2×#11719919—42no—
50C2×#11719919—42no—
51C2×C22⋊Dic53—24no—
52C2×C22⋊Dic53—24no—
53C2×C22⋊Dic53—24no—
54C2×C22⋊Dic53—24no—
55C2×C22⋊Dic53—24no—
56C2×C22⋊Dic53—24no—
57C2×C22⋊Dic53—24no—
58C2×C22⋊Dic53—24no—
59C2×C22⋊Dic53—24no—
60C2×C22⋊Dic53—42no—
61C2×C22⋊Dic53—42no—
62C2×C22⋊Dic53—42no—
63C2×C4×Dic53—24no—
64C2×C4×Dic53—24no—
65C2×C4×Dic53D418yescomplemented
66#13133124—24no—
67#13133124—22no—
68#13133124—24no—
69#13133124—22no—
70#13133124—24no—
71#13133124—24no—
72#13133124—42no—
73#13133124—42no—
74C25×C53C2311yescharacteristic
75C25×C53C2311yescharacteristic
76C22×D4×C53—22no—
77C22×D4×C53—22no—
78C22×D4×C53—24no—
79C22×D4×C53—22no—
80C22×D4×C53—42no—
81C23×C4×C53—24no—
82C23×C4×C53—24no—
83C23×C4×C53—22no—
84C23×C4×C53—22no—
85C23×C4×C53D414yes—
86C23×C4×C53C2311yescharacteristic
87C23×C4×C53C2311yescharacteristic
88C23×C4×C53C2311yescharacteristic
89C23×C4×C53C2311yescharacteristic
90C23×C4×C53C2311yescharacteristic
91C2×C22⋊C4×C53—22no—
92C2×C22⋊C4×C53—24no—
93C2×C22⋊C4×C53—22no—
94C2×C22⋊C4×C53—22no—
95C2×C22⋊C4×C53—22no—
96C2×C22⋊C4×C53—22no—
97C2×C22⋊C4×C53—42no—
98#95×C53—22no—
99#95×C53—22no—
100C24×C53—22no—
101C24×C53—21no—
102C24×C53—21no—
103C24×C53—21no—
104C24×C53—21no—
105C24×C53—22no—
106C24×C53—22no—
107C24×C53—21no—
108C24×C53—21no—
109C24×C53—21no—
110C24×C53—22no—
111C24×C53—21no—
112C24×C53—21no—
113C24×C53—21no—
114C24×C53—22no—
115C24×C53—22no—
116C24×C53—22no—
117C24×C53—21no—
118C24×C53—21no—
119C24×C53C2×D412yes—
120C24×C53#4112yes—
121C24×C53#4114yes—
122C24×C53C2411yescharacteristic
123C2×D4×C53—28no—
124C2×D4×C53—48no—
125C2×D4×C53—48no—
126C2×D4×C53—44no—
127C2×D4×C53—44no—
128C22×C4×C53—216no—
129C22×C4×C53—216no—
130C22×C4×C53—28no—
131C22×C4×C53—22no—
132C22×C4×C53—22no—
133C22×C4×C53—21no—
134C22×C4×C53—21no—
135C22×C4×C53—22no—
136C22×C4×C53—28no—
137C22×C4×C53—28no—
138C22×C4×C53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—22no—
141C22×C4×C53—22no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—22no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—22no—
148C22×C4×C53—22no—
149C22×C4×C53—22no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53C2×D414yes—
153C22×C4×C53C2×D412yes—
154C22×C4×C53C2×D412yes—
155C22×C4×C53#4112yes—
156C22×C4×C53#4112yes—
157C22×C4×C53#4112yes—
158C22×Dic53—22no—
159C22×Dic53—22no—
160C22×Dic53—22no—
161C22×Dic53—22no—
162C22×Dic53—22no—
163C22×Dic53—22no—
164C22×Dic53—22no—
165C22×Dic53—22no—
166C22×Dic53—22no—
167C22×Dic53—22no—
168C22×Dic53—22no—
169C22×Dic53—22no—
170C22×Dic53—22no—
171C22×Dic53—22no—
172C22×Dic53—22no—
173C22×Dic53—22no—
174C22×Dic53—22no—
175C22×Dic53—22no—
176C22×Dic53—22no—
177C22×Dic53—22no—
178C22×Dic53—22no—
179C22×Dic53—22no—
180C22×Dic53—22no—
181C22×Dic53—22no—
182C22×Dic53—22no—
183C22×Dic53C2×D414yes—
184C22×Dic53C2×D414yes—
185C22×Dic53#4114yes—
186C22⋊C4×C53—44no—
187C22⋊C4×C53—44no—
188C22⋊C4×C53—44no—
189C22⋊Dic53—216no—
190C22⋊Dic53—216no—
191C22⋊Dic53—48no—
192C22⋊Dic53—48no—
193C4⋊Dic53—28no—
194C4⋊Dic53—28no—
195#11719919—48no—
196C4×Dic53—216no—
197C23×C53—22no—
198C23×C53—22no—
199C23×C53—24no—
200C23×C53—24no—
201C23×C53—22no—
202C23×C53—22no—
203C23×C53—22no—
204C23×C53—22no—
205C23×C53—24no—
206C23×C53—24no—
207C23×C53—24no—
208C23×C53—24no—
209C23×C53—22no—
210C23×C53—24no—
211C23×C53—24no—
212C23×C53—22no—
213C23×C53—22no—
214C23×C53—42no—
215C23×C53—42no—
216C23×C53—42no—
217C23×C53—42no—
218C23×C53—41no—
219C23×C53—41no—
220C23×C53—42no—
221C23×C53—42no—
222C23×C53—41no—
223C23×C53—41no—
224C23×C53—41no—
225C23×C53—41no—
226C23×C53—41no—
227C23×C53—42no—
228C23×C53—42no—
229C23×C53—41no—
230C23×C53—42no—
231C23×C53—41no—
232C23×C53—42no—
233C23×C53—41no—
234C23×C53—42no—
235C23×C53—42no—
236C23×C53—42no—
237C23×C53—42no—
238C23×C53—42no—
239C23×C53—42no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53#12314yes—
243C23×C53C22×D412yes—
244C23×C53C22×D411yescharacteristic
245C23×C53C2×#4112yes—
246C23×C53C2×#4112yes—
247C23×C53C2×#4111yescharacteristic
248C23×C53C2×#4111yescharacteristic
249C23×C53C2×#4111yescharacteristic
250C23×C53C2×#4111yescharacteristic
251C23×C53H(5,𝔽2)12yes—
252C23×C53H(5,𝔽2)11yescharacteristic
253C23×C532−1+411yescharacteristic
254D4×C53—416no—
255C2×C4×C53—232no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—24no—
261C2×C4×C53—24no—
262C2×C4×C53—24no—
263C2×C4×C53—24no—
264C2×C4×C53—22no—
265C2×C4×C53—24no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—42no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—42no—
273C2×C4×C53—41no—
274C2×C4×C53—41no—
275C2×C4×C53—41no—
276C2×C4×C53—42no—
277C2×C4×C53—42no—
278C2×C4×C53—42no—
279C2×C4×C53#12014yes—
280C2×C4×C53#12314yes—
281C2×Dic53—24no—
282C2×Dic53—24no—
283C2×Dic53—24no—
284C2×Dic53—24no—
285C2×Dic53—24no—
286C2×Dic53—24no—
287C2×Dic53—24no—
288C2×Dic53—24no—
289C2×Dic53—24no—
290C2×Dic53—42no—
291C2×Dic53—42no—
292C2×Dic53—42no—
293C2×Dic53—42no—
294C2×Dic53—42no—
295C2×Dic53—42no—
296C2×Dic53—42no—
297C2×Dic53—42no—
298C2×Dic53—42no—
299C2×Dic53—42no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302C2×Dic53—42no—
303C2×Dic53—42no—
304C2×Dic53—42no—
305C2×Dic53—42no—
306C2×Dic53—42no—
307C2×Dic53—42no—
308C2×Dic53—42no—
309#15113—531nomaximal, Sylow
310C22×C53—24no—
311C22×C53—24no—
312C22×C53—24no—
313C22×C53—44no—
314C22×C53—44no—
315C22×C53—44no—
316C22×C53—44no—
317C22×C53—42no—
318C22×C53—42no—
319C22×C53—42no—
320C22×C53—42no—
321C22×C53—44no—
322C22×C53—44no—
323C22×C53—42no—
324C22×C53—42no—
325C22×C53—42no—
326C22×C53—81no—
327C22×C53—82no—
328C22×C53—82no—
329C22×C53—81no—
330C22×C53—81no—
331C22×C53—81no—
332C22×C53C2×#12011yescharacteristic
333C22×C53C2×#12311yescharacteristic
334C22×C53C2×#12311yescharacteristic
335C22×C53#52512yes—
336C22×C53#52512yes—
337C22×C53#52512yes—
338C22×C53#52511yescharacteristic
339C22×C53#53211yescharacteristic
340C22×C53#53212yes—
341C22×C53#53512yes—
342C22×C53#53511yescharacteristic
343C22×C53#53711yescharacteristic
344C22×C53#53712yes—
345C22×C53#55112yes—
346C22×C53#55112yes—
347C22×C53#55112yes—
348C22×C53#55212yes—
349C22×C53#55211yescharacteristic
350C22×C53#55311yescharacteristic
351C22×C53#55312yes—
352C22×C53#55512yes—
353C22×C53#55511yescharacteristic
354C22×C53#55611yescharacteristic
355C4×C53—24no—
356C4×C53—24no—
357C4×C53—42no—
358C4×C53—81no—
359C4×C53—81no—
360Dic53—44no—
361Dic53—44no—
362Dic53—44no—
363Dic53—82no—
364C22×#117—531no—
365C2×#388—532no—
366C2×#386D5311yescharacteristic
367#1444—531no—
368#1442—531no—
369#1439—532no—
370#1439—531no—
371#1439—531no—
372#1438—532no—
373#1434—532no—
374C22⋊#95—531no—
375C2×C53—44no—
376C2×C53—82no—
377C2×C53#238811yescharacteristic
378C2×C53#248211yescharacteristic
379C2×C53#248511yescharacteristic
380C2×C53#249811yescharacteristic
381C2×C53#250011yescharacteristic
382C2×C53#259812yes—
383C2×C53#260112yes—
384C2×C53#260912yes—
385C2×C53#261012yes—
386C2×C53#261511yescharacteristic
387C2×C53#284911yescharacteristic
388C23×D4C2×D5311yescharacteristic
389C24×C4C2×D5311yescharacteristic
390C2×#117—1068no—
391C2×#117—1064no—
392C22×C4⋊C4—531no—
393C22×C4⋊C4—531no—
394C22×C4⋊C4—532no—
395C22×C22⋊C4—532no—
396C22×C22⋊C4—532no—
397C22×C22⋊C4—532no—
398C22×C22⋊C4—532no—
399C22×C22⋊C4C2×D5311yescharacteristic
400C22×C22⋊C4C2×D5311yescharacteristic
401C22×C22⋊C4C2×D5311yescharacteristic
402C22×C42—532no—
403#388—1068no—
404#386—24no—
405C2×#95—532no—
406C2×#95—531no—
407C2×#95—531no—
408C2×#95—532no—
409C2×#95—532no—
410C2×#95—532no—
411C2×#95—532no—
412C2×#95—532no—
413C2×#95C2×D5311yescharacteristic
414C2×#95C2×D5311yescharacteristic
415C53#1511311yescharacteristic, complemented, Sylow
416C25C22×D5311yescharacteristic
417C25C22×D5311yescharacteristic
418C22×D4—22no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—22no—
422C22×D4—42no—
423C23×C4—24no—
424C23×C4—24no—
425C23×C4—22no—
426C23×C4—22no—
427C23×C4—532no—
428C23×C4—532no—
429C23×C4—532no—
430C23×C4—532no—
431C23×C4C22⋊D5314yes—
432C23×C4C22×D5311yescharacteristic
433C23×C4C22×D5311yescharacteristic
434C23×C4C22×D5311yescharacteristic
435C23×C4C22×D5311yescharacteristic
436C23×C4C22×D5311yescharacteristic
437#117—10632no—
438C2×C4⋊C4—1064no—
439C2×C4⋊C4—1064no—
440C2×C4⋊C4—1062no—
441C2×C4⋊C4—1062no—
442C2×C4⋊C4—1064no—
443C2×C4⋊C4—2122no—
444C2×C4⋊C4—2122no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—24no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—22no—
449C2×C22⋊C4—22no—
450C2×C22⋊C4—22no—
451C2×C22⋊C4—42no—
452C2×C22⋊C4—1064no—
453C2×C22⋊C4—1064no—
454C2×C22⋊C4—1064no—
455C2×C22⋊C4—1064no—
456C2×C22⋊C4—1064no—
457C2×C22⋊C4—1064no—
458C2×C22⋊C4—1064no—
459C2×C22⋊C4—1064no—
460C2×C22⋊C4—1064no—
461C2×C22⋊C4—2122no—
462C2×C22⋊C4—2122no—
463C2×C22⋊C4—2122no—
464C2×C42—538no—
465C2×C42—1064no—
466C2×C42—1064no—
467#95—22no—
468#95—22no—
469#95—1064no—
470#95—1064no—
471#95—1064no—
472#95—1064no—
473#95—1062no—
474#95—1062no—
475#95—2122no—
476#95—2122no—
477C24—22no—
478C24—22no—
479C24—21no—
480C24—21no—
481C24—21no—
482C24—21no—
483C24—22no—
484C24—21no—
485C24—21no—
486C24—22no—
487C24—21no—
488C24—22no—
489C24—21no—
490C24—21no—
491C24—22no—
492C24—21no—
493C24—22no—
494C24—21no—
495C24—21no—
496C24#1171994512yes—
497C24#1171994714yes—
498C24C2×C22⋊D5312yes—
499C24C23×D5311yescharacteristic
500C2×D4—28no—
501C2×D4—48no—
502C2×D4—48no—
503C2×D4—44no—
504C2×D4—44no—
505C22×C4—216no—
506C22×C4—216no—
507C22×C4—28no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—28no—
514C22×C4—28no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—534no—
530C22×C4—534no—
531C22×C4—534no—
532C22×C4—1062no—
533C22×C4—1062no—
534C22×C4—1062no—
535C22×C4—1062no—
536C22×C4—1062no—
537C22×C4—1062no—
538C22×C4—1062no—
539C22×C4—1062no—
540C22×C4—1062no—
541C22×C4—1062no—
542C22×C4—1062no—
543C22×C4—1062no—
544C22×C4—1062no—
545C22×C4—1062no—
546C22×C4—1062no—
547C22×C4—1062no—
548C22×C4—1062no—
549C22×C4—1062no—
550C22×C4—1062no—
551C22×C4—1062no—
552C22×C4—1062no—
553C22×C4—1062no—
554C22×C4—1062no—
555C22×C4—1062no—
556C22×C4—1062no—
557C22×C4#1171994512yes—
558C22×C4D4×D5314yes—
559C22×C4#1171994712yes—
560C22×C4#1171994712yes—
561C22×C4C2×C22⋊D5312yes—
562C22×C4C2×C22⋊D5312yes—
563C4⋊C4—1068no—
564C4⋊C4—1068no—
565C4⋊C4—2128no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—10616no—
570C22⋊C4—10616no—
571C22⋊C4—2128no—
572C22⋊C4—2128no—
573C42—10616no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—22no—
591C23—41no—
592C23—41no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—42no—
615C23—42no—
616C23—41no—
617C23—41no—
618C23—42no—
619C23#1313319814yes—
620C23C2×D4×D5312yes—
621C23C22×C22⋊D5311yescharacteristic
622C23#41×D5312yes—
623C23C2×#1171994712yes—
624C23C2×#1171994711yescharacteristic
625C23C2×#1171994711yescharacteristic
626C23C2×#1171994511yescharacteristic
627C23C2×#1171994511yescharacteristic
628C23#1313326212yes—
629C23#1313326311yescharacteristic
630C23#1313326411yescharacteristic
631D4—416no—
632C2×C4—232no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—1064no—
657C2×C4—1064no—
658C2×C4—1064no—
659C2×C4—1064no—
660C2×C4—1064no—
661C2×C4—1064no—
662C2×C4—1064no—
663C2×C4—1064no—
664C2×C4—1064no—
665C2×C4—2122no—
666C2×C4—2122no—
667C2×C4—2122no—
668C2×C4—2122no—
669C2×C4—2122no—
670C2×C4—2122no—
671C2×C4—2122no—
672C2×C4—2122no—
673C2×C4—2122no—
674C2×C4—2122no—
675C2×C4—2122no—
676C2×C4—2122no—
677C2×C4—2122no—
678C2×C4—2122no—
679C2×C4—2122no—
680C2×C4—2122no—
681C2×C4—2122no—
682C2×C4—2122no—
683C2×C4—2122no—
684C2×C4#1313318514yes—
685C2×C4#1313319814yes—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—44no—
690C22—44no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—42no—
696C22—44no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—42no—
702C22—82no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22C2×#1313318511yescharacteristic
709C22C2×#1313319811yescharacteristic
710C22C2×#1313319811yescharacteristic
711C22#1681112912yes—
712C22#1681112912yes—
713C22#1681113212yes—
714C22#1681113411yescharacteristic
715C22#1681116911yescharacteristic
716C22#1681117012yes—
717C22#1681118912yes—
718C22#1681119011yescharacteristic
719C22#1681120111yescharacteristic
720C22#1681120212yes—
721C22#1681129612yes—
722C22#1681129912yes—
723C22#1681129912yes—
724C22#1681131012yes—
725C22#1681131311yescharacteristic
726C22#1681131911yescharacteristic
727C22#1681132012yes—
728C22#1681133712yes—
729C22#1681133811yescharacteristic
730C22#1681134311yescharacteristic
731C4—24no—
732C4—24no—
733C4—42no—
734C4—81no—
735C4—81no—
736C4—4242no—
737C4—2124no—
738C4—2124no—
739C4—2124no—
740C2—44no—
741C2—82no—
742C2#2027793011yescharacteristic
743C2#2027898911yescharacteristic
744C2#2027901211yescharacteristic
745C2#2027916111yescharacteristic
746C2#2027917811yescharacteristic
747C2#2028027712yes—
748C2#2028030812yes—
749C2#2028038912yes—
750C2#2028039812yes—
751C2#2028044011yescharacteristic
752C2#2028300511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D53
commutator, socle, cosocleC24×C53C24
FittingC2×C53×#386C2
prime radicalC23×D4×C53C22
hypercenterC2×#386D53
hypocenterC53#15113
LCSG ▷ C24×C53 ▷ C53
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C22×#13133176C2semidirect
2. C2×#16810511C2semidirect
3. #20272979C2semidirect
4. #20272971C2semidirect
5. #20272960C2semidirect
6. #20272960C2semidirect
7. #20272958C2semidirect
9. #20272939C2semidirect
10. #20272938C2semidirect
65. C2×C4×Dic53D4semidirect
415. C53#15113semidirect

Maximal subgroups

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

subgroupindex
C22×#131331762
C2×#168105112
#202729792
#202729712
#202729602
#202729582
#202729562
#202729392
#202729382
C2×C53×#3862
#1511353