Finite Group Databasebeta

← #27311265

Subgroups — #27311265

Order 13568.

2142 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D53C211yesmaximal, characteristic
2C2×#16810485C212yesmaximal
3C2×#16810482C211yesmaximal, characteristic
4C2×#16810480C211yesmaximal, characteristic
5#20272969C211yesmaximal, characteristic, complemented
6#20272968C211yesmaximal, characteristic, complemented
7#20272967C212yesmaximal, complemented
8#20272966C212yesmaximal, complemented
9#20272965C211yesmaximal, characteristic, complemented
10#20272936C212yesmaximal
11C53×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D53C2211yescharacteristic
13C23×C4×D53C2211yescharacteristic
14C23×C4×D53C2211yescharacteristic
15C22×C4⋊Dic53C2211yescharacteristic
16C22×C4⋊Dic53C2211yescharacteristic
17C22×#11719919C2211yescharacteristic
18C22×#11719919C2211yescharacteristic
19C22×#11719919C2212yes—
20C2×C4⋊C4×D53—24no—
21C2×C4⋊C4×D53—24no—
22C2×C4⋊C4×D53C418yescomplemented
23C22×#11719921C2212yes—
24C22×#11719921C2212yes—
25#16810485—28no—
26#16810482—24no—
27#16810480—24no—
28C2×#13133124C2212yes—
29C2×#13133124C2211yescharacteristic
30C2×#13133124C2212yes—
31C2×#13133124C2212yes—
32C2×#13133124C2212yes—
33C2×#13133124C2212yes—
34C2×#13133124C2212yes—
35C2×#13133124C2212yes—
36C22×C4⋊C4×C53C2211yescharacteristic
37C22×C4⋊C4×C53C2211yescharacteristic
38C2×#95×C53C2212yes—
39C2×#95×C53C2211yescharacteristic
40C2×#95×C53C2212yes—
41C24×D53C2311yescharacteristic
42C23×Dic53C2312yes—
43C23×Dic53C2312yes—
44C23×Dic53C2311yescharacteristic
45C23×Dic53C2311yescharacteristic
46C23×Dic53C2311yescharacteristic
47C22×C4×D53—22no—
48C22×C4×D53—22no—
49C22×C4×D53—22no—
50C22×C4×D53—22no—
51C22×C4×D53—22no—
52C22×C4×D53—22no—
53C22×C4×D53—42no—
54C22×C4×D53—42no—
55C22×C4×D53—42no—
56C22×C4×D53—42no—
57C22×C4×D53C2×C414yes—
58C22×C4×D53C2×C414yes—
59C22×C4×D53C2×C414yes—
60C22×C4×D53D414yes—
61C22×C4×D53D414yes—
62C22×C4×D53D414yes—
63C22×C4×D53Q814yes—
64C2×C4⋊Dic53—22no—
65C2×C4⋊Dic53—22no—
66C2×C4⋊Dic53—22no—
67C2×C4⋊Dic53—42no—
68C2×C4⋊Dic53C2×C414yes—
69C2×#11719919—22no—
70C2×#11719919—22no—
71C2×#11719919—22no—
72C2×#11719919—22no—
73C2×#11719919—24no—
74C2×#11719919—42no—
75C2×#11719919—42no—
76C2×#11719919C2×C414yes—
77C2×#11719919C2×C414yes—
78C4⋊C4×D53—232no—
79C2×#11719921—24no—
80C2×#11719921—24no—
81C2×#11719921—24no—
82C2×#11719921—24no—
83C2×#11719921—24no—
84C2×#11719921—24no—
85#13133124—22no—
86#13133124—24no—
87#13133124—24no—
88#13133124—24no—
89#13133124—24no—
90#13133124—42no—
91#13133124—42no—
92#13133124—42no—
93C23×C4×C53C2312yes—
94C23×C4×C53C2312yes—
95C23×C4×C53C2311yescharacteristic
96C23×C4×C53C2311yescharacteristic
97C23×C4×C53C2311yescharacteristic
98C2×C4⋊C4×C53—22no—
99C2×C4⋊C4×C53—22no—
100C2×C4⋊C4×C53—22no—
101C2×C4⋊C4×C53—42no—
102C2×C4⋊C4×C53C2×C414yes—
103#95×C53—22no—
104#95×C53—24no—
105#95×C53—42no—
106C24×C53C2411yescharacteristic
107C23×D53—22no—
108C23×D53—22no—
109C23×D53—22no—
110C23×D53—22no—
111C23×D53C22×C412yes—
112C23×D53C2×D412yes—
113C23×D53C2×D412yes—
114C23×D53C2×D412yes—
115C23×D53C2×Q812yes—
116C23×D53#4112yes—
117C23×D53#4112yes—
118C22×C4×C53—21no—
119C22×C4×C53—21no—
120C22×C4×C53—21no—
121C22×C4×C53—21no—
122C22×C4×C53—22no—
123C22×C4×C53—22no—
124C22×C4×C53—21no—
125C22×C4×C53—21no—
126C22×C4×C53—22no—
127C22×C4×C53—22no—
128C22×C4×C53—22no—
129C22×C4×C53—22no—
130C22×C4×C53—22no—
131C22×C4×C53—22no—
132C22×C4×C53—22no—
133C22×C4×C53—22no—
134C22×C4×C53—22no—
135C22×C4×C53—22no—
136C22×C4×C53—22no—
137C22×C4×C53—22no—
138C22×C4×C53—22no—
139C22×C4×C53—22no—
140C22×C4×C53—22no—
141C22×C4×C53—22no—
142C22×C4×C53C22×C412yes—
143C22×C4×C53C22×C412yes—
144C22×C4×C53C22×C412yes—
145C22×C4×C53C2×D412yes—
146C22×C4×C53C2×D412yes—
147C22×C4×C53C2×D412yes—
148C22×C4×C53C2×Q812yes—
149C22×Dic53—21no—
150C22×Dic53—21no—
151C22×Dic53—21no—
152C22×Dic53—21no—
153C22×Dic53—22no—
154C22×Dic53—22no—
155C22×Dic53—21no—
156C22×Dic53—21no—
157C22×Dic53—22no—
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×Dic53C22×C412yes—
174C22×Dic53C22×C412yes—
175C22×Dic53C22×C412yes—
176C22×Dic53C2×D412yes—
177C22×Dic53C2×D412yes—
178C22×Dic53C2×D412yes—
179C22×Dic53C2×Q812yes—
180C2×C4×D53—28no—
181C2×C4×D53—28no—
182C2×C4×D53—28no—
183C2×C4×D53—28no—
184C2×C4×D53—28no—
185C2×C4×D53—28no—
186C2×C4×D53—28no—
187C2×C4×D53—48no—
188C2×C4×D53—48no—
189C2×C4×D53—44no—
190C2×C4×D53—44no—
191C2×C4×D53—48no—
192C2×C4×D53—48no—
193C2×C4×D53—44no—
194C2×C4×D53—44no—
195C2×C4×D53C22⋊C4116yes—
196C2×C4×D53C4⋊C4116yescomplemented
197C4⋊C4×C53—28no—
198C4⋊C4×C53—44no—
199#11719921—48no—
200#11719921—48no—
201C4⋊Dic53—28no—
202C4⋊Dic53—44no—
203#11719919—28no—
204#11719919—28no—
205#11719919—48no—
206C23×C53C23×C411yescharacteristic
207C23×C53C22×D411yescharacteristic
208C23×C53C22×D411yescharacteristic
209C23×C53C22×D411yescharacteristic
210C23×C53C22×Q811yescharacteristic
211C23×C53C2×#4111yescharacteristic
212C23×C53C2×#4111yescharacteristic
213C23×C53H(5,𝔽2)12yes—
214C23×C53H(5,𝔽2)12yes—
215C23×C532−1+412yes—
216C23×C532−1+412yes—
217C22×D53—24no—
218C22×D53—24no—
219C22×D53—24no—
220C22×D53—22no—
221C22×D53—22no—
222C22×D53—22no—
223C22×D53—24no—
224C22×D53—22no—
225C22×D53—24no—
226C22×D53—24no—
227C22×D53—24no—
228C22×D53—24no—
229C22×D53—24no—
230C22×D53—24no—
231C22×D53—24no—
232C22×D53—24no—
233C22×D53C2×C22⋊C414yes—
234C22×D53C2×C4⋊C414yes—
235C22×D53#11714yes—
236C22×D53#12114yes—
237C22×D53#12114yes—
238C22×D53C22⋊Q814yes—
239C22×D53C22⋊Q814yes—
240C2×C4×C53—22no—
241C2×C4×C53—22no—
242C2×C4×C53—24no—
243C2×C4×C53—22no—
244C2×C4×C53—22no—
245C2×C4×C53—22no—
246C2×C4×C53—22no—
247C2×C4×C53—24no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—24no—
252C2×C4×C53—42no—
253C2×C4×C53—41no—
254C2×C4×C53—41no—
255C2×C4×C53—42no—
256C2×C4×C53—42no—
257C2×C4×C53—42no—
258C2×C4×C53—42no—
259C2×C4×C53—42no—
260C2×C4×C53—42no—
261C2×C4×C53—42no—
262C2×C4×C53—42no—
263C2×C4×C53—42no—
264C2×C4×C53—42no—
265C2×C4×C53—42no—
266C2×C4×C53—42no—
267C2×C4×C53—42no—
268C2×C4×C53—42no—
269C2×C4×C53C2×C22⋊C414yes—
270C2×C4×C53C2×C4⋊C414yes—
271C2×Dic53—22no—
272C2×Dic53—22no—
273C2×Dic53—24no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53—22no—
277C2×Dic53—22no—
278C2×Dic53—22no—
279C2×Dic53—22no—
280C2×Dic53—24no—
281C2×Dic53—22no—
282C2×Dic53—24no—
283C2×Dic53—42no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—42no—
287C2×Dic53—42no—
288C2×Dic53—42no—
289C2×Dic53—42no—
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×Dic53C2×C22⋊C414yes—
301C2×Dic53C2×C4⋊C414yes—
302C4×D53—232no—
303C4×D53—416no—
304C4×D53—416no—
305#14339—531nomaximal, Sylow
306C22×C53C22×C22⋊C411yescharacteristic
307C22×C53C22×C4⋊C411yescharacteristic
308C22×C53C2×#11711yescharacteristic
309C22×C53#51812yes—
310C22×C53#51912yes—
311C22×C53C2×#12111yescharacteristic
312C22×C53C2×#12111yescharacteristic
313C22×C53C2×C22⋊Q811yescharacteristic
314C22×C53C2×C22⋊Q811yescharacteristic
315C22×C53#53412yes—
316C22×C53#53411yescharacteristic
317C22×C53#53411yescharacteristic
318C22×C53#53611yescharacteristic
319C22×C53#53612yes—
320C22×C53#53611yescharacteristic
321C22×C53#53712yes—
322C22×C53#53712yes—
323C22×C53#53912yes—
324C22×C53#53912yes—
325C22×C53#53912yes—
326C22×C53#53912yes—
327C22×C53#54412yes—
328C22×C53#54412yes—
329C2×D53—24no—
330C2×D53—24no—
331C2×D53—28no—
332C2×D53—28no—
333C2×D53—24no—
334C2×D53—24no—
335C2×D53—28no—
336C2×D53—24no—
337C2×D53—24no—
338C2×D53—28no—
339C2×D53#38018yes—
340C4×C53—24no—
341C4×C53—24no—
342C4×C53—42no—
343C4×C53—82no—
344C4×C53—82no—
345Dic53—24no—
346Dic53—24no—
347Dic53—42no—
348Dic53—82no—
349Dic53—82no—
350C23×C4⋊C4—531no—
351C2×#381—532no—
352C2×#380—531no—
353C2×#380—531no—
354#1441—532no—
355#1441—532no—
356#1441—531no—
357#1441—531no—
358#1441—531no—
359#1441D5311yescharacteristic, complemented
360C22⋊#95—532no—
361C2×C53C2×#38011yescharacteristic
362C2×C53#230811yescharacteristic
363C2×C53#231011yescharacteristic
364C2×C53#231312yes—
365C2×C53#231612yes—
366C2×C53#261811yescharacteristic
367C2×C53#261811yescharacteristic
368C2×C53#261812yes—
369C2×C53#262711yescharacteristic
370C2×C53#262711yescharacteristic
371C2×C53#262712yes—
372D53—28no—
373C24×C4—531no—
374C24×C4—531no—
375C24×C4—531no—
376C22×C4⋊C4—531no—
377C22×C4⋊C4—531no—
378C22×C4⋊C4—531no—
379C22×C4⋊C4—538no—
380C22×C4⋊C4—532no—
381C22×C4⋊C4—531no—
382C22×C4⋊C4—1064no—
383C22×C4⋊C4—1064no—
384C22×C4⋊C4C2×D5311yescharacteristic
385C22×C4⋊C4C2×D5311yescharacteristic
386C22×C22⋊C4—532no—
387C22×C22⋊C4—532no—
388#381—1068no—
389#380—1064no—
390#380—1064no—
391C2×#95—532no—
392C2×#95—531no—
393C2×#95—532no—
394C2×#95—532no—
395C2×#95—532no—
396C2×#95—532no—
397C2×#95—532no—
398C2×#95—532no—
399C2×#95C2×D5311yescharacteristic
400C2×#95C2×D5312yes—
401C2×#95C2×D5312yes—
402C53#1433911yescharacteristic, complemented, Sylow
403C25—531no—
404C23×C4—531no—
405C23×C4—531no—
406C23×C4—534no—
407C23×C4—534no—
408C23×C4—534no—
409C23×C4—534no—
410C23×C4—534no—
411C23×C4—534no—
412C23×C4—531no—
413C23×C4—534no—
414C23×C4—532no—
415C23×C4—532no—
416C23×C4—1062no—
417C23×C4—1062no—
418C23×C4—1062no—
419C23×C4—1062no—
420C23×C4—1062no—
421C23×C4—1062no—
422C23×C4—2122no—
423C23×C4—2122no—
424C23×C4—2122no—
425C23×C4—2122no—
426C23×C4C22×D5312yes—
427C23×C4C22×D5312yes—
428C23×C4C22×D5311yescharacteristic
429C23×C4C22×D5311yescharacteristic
430C23×C4C22×D5311yescharacteristic
431C2×C4⋊C4—22no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—42no—
435C2×C4⋊C4—534no—
436C2×C4⋊C4—534no—
437C2×C4⋊C4—534no—
438C2×C4⋊C4—10632no—
439C2×C4⋊C4—1062no—
440C2×C4⋊C4—1062no—
441C2×C4⋊C4—1062no—
442C2×C4⋊C4—1062no—
443C2×C4⋊C4—1062no—
444C2×C4⋊C4—1062no—
445C2×C4⋊C4—1064no—
446C2×C4⋊C4—1062no—
447C2×C4⋊C4—2122no—
448C2×C4⋊C4—2122no—
449C2×C4⋊C4—2122no—
450C2×C4⋊C4C4×D5314yes—
451C2×C22⋊C4—1064no—
452C2×C22⋊C4—1064no—
453C2×C22⋊C4—1064no—
454C2×C22⋊C4—1064no—
455C2×C22⋊C4—1064no—
456C2×C22⋊C4—1064no—
457#95—22no—
458#95—24no—
459#95—42no—
460#95—1064no—
461#95—1064no—
462#95—1064no—
463#95—1062no—
464#95—1064no—
465#95—2122no—
466#95—2122no—
467#95—2122no—
468C24—532no—
469C24—532no—
470C24—532no—
471C24—532no—
472C24—532no—
473C24—532no—
474C24—532no—
475C24—1062no—
476C24—1062no—
477C24—1062no—
478C24—1062no—
479C24C23×D5311yescharacteristic
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—532no—
505C22×C4—532no—
506C22×C4—532no—
507C22×C4—532no—
508C22×C4—532no—
509C22×C4—532no—
510C22×C4—5316no—
511C22×C4—5316no—
512C22×C4—532no—
513C22×C4—1068no—
514C22×C4—1068no—
515C22×C4—1068no—
516C22×C4—1068no—
517C22×C4—1068no—
518C22×C4—1068no—
519C22×C4—1068no—
520C22×C4—1061no—
521C22×C4—1061no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1062no—
525C22×C4—1062no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—1062no—
529C22×C4—1062no—
530C22×C4—1062no—
531C22×C4—1062no—
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—2128no—
545C22×C4—2128no—
546C22×C4—2124no—
547C22×C4—2124no—
548C22×C4—2128no—
549C22×C4—2128no—
550C22×C4—2124no—
551C22×C4—2124no—
552C22×C4C2×C4×D5312yes—
553C22×C4C2×C4×D5312yes—
554C22×C4C2×C4×D5312yes—
555C22×C4D4×D5312yes—
556C22×C4D4×D5312yes—
557C22×C4D4×D5312yes—
558C22×C4Q8×D5312yes—
559C4⋊C4—28no—
560C4⋊C4—44no—
561C4⋊C4—1068no—
562C4⋊C4—1068no—
563C4⋊C4—1068no—
564C4⋊C4—2124no—
565C4⋊C4—2128no—
566C22⋊C4—2128no—
567C22⋊C4—2128no—
568C23—534no—
569C23—534no—
570C23—534no—
571C23—534no—
572C23—534no—
573C23—534no—
574C23—534no—
575C23—1064no—
576C23—1064no—
577C23—1064no—
578C23—1062no—
579C23—1062no—
580C23—1062no—
581C23—1064no—
582C23—1062no—
583C23—1064no—
584C23—1064no—
585C23—1064no—
586C23—1064no—
587C23—1064no—
588C23—1064no—
589C23—1064no—
590C23—1064no—
591C23C22×C4×D5311yescharacteristic
592C23C2×D4×D5311yescharacteristic
593C23C2×D4×D5311yescharacteristic
594C23C2×D4×D5311yescharacteristic
595C23C2×Q8×D5311yescharacteristic
596C23#41×D5311yescharacteristic
597C23#41×D5311yescharacteristic
598C23#1313326212yes—
599C23#1313326312yes—
600C23#1313326412yes—
601C23#1313326512yes—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—534no—
632C2×C4—534no—
633C2×C4—10632no—
634C2×C4—1062no—
635C2×C4—1062no—
636C2×C4—1064no—
637C2×C4—1062no—
638C2×C4—1062no—
639C2×C4—1062no—
640C2×C4—1062no—
641C2×C4—1064no—
642C2×C4—1062no—
643C2×C4—1062no—
644C2×C4—1062no—
645C2×C4—1064no—
646C2×C4—21216no—
647C2×C4—21216no—
648C2×C4—2122no—
649C2×C4—2122no—
650C2×C4—2122no—
651C2×C4—2122no—
652C2×C4—2122no—
653C2×C4—2122no—
654C2×C4—2122no—
655C2×C4—2122no—
656C2×C4—2122no—
657C2×C4—2122no—
658C2×C4—2122no—
659C2×C4—2122no—
660C2×C4—2122no—
661C2×C4—2122no—
662C2×C4—2122no—
663C2×C4—2121no—
664C2×C4—2121no—
665C2×C4C22⋊C4×D5314yes—
666C2×C4C4⋊C4×D5314yes—
667C22—538no—
668C22—1064no—
669C22—1064no—
670C22—1068no—
671C22—1068no—
672C22—1064no—
673C22—1064no—
674C22—1068no—
675C22—1064no—
676C22—1064no—
677C22—1068no—
678C22C2×C22⋊C4×D5311yescharacteristic
679C22C2×C4⋊C4×D5311yescharacteristic
680C22#117×D5311yescharacteristic
681C22#1681109512yes—
682C22#1681109912yes—
683C22#121×D5311yescharacteristic
684C22#121×D5311yescharacteristic
685C22C22⋊Q8×D5311yescharacteristic
686C22C22⋊Q8×D5311yescharacteristic
687C22#1681118112yes—
688C22#1681118311yescharacteristic
689C22#1681118411yescharacteristic
690C22#1681119311yescharacteristic
691C22#1681119612yes—
692C22#1681119811yescharacteristic
693C22#1681120212yes—
694C22#1681120312yes—
695C22#1681121412yes—
696C22#1681121612yes—
697C22#1681121912yes—
698C22#1681122112yes—
699C22#1681125012yes—
700C22#1681125312yes—
701C4—24no—
702C4—24no—
703C4—42no—
704C4—82no—
705C4—82no—
706C4—1064no—
707C4—1064no—
708C4—4242no—
709C4—4242no—
710C4—2122no—
711C2—1068no—
712C2#380×D5311yescharacteristic
713C2#2027728911yescharacteristic
714C2#2027729811yescharacteristic
715C2#2027731412yes—
716C2#2027733012yes—
717C2#2028045611yescharacteristic
718C2#2028045811yescharacteristic
719C2#2028046212yes—
720C2#2028052711yescharacteristic
721C2#2028052911yescharacteristic
722C2#2028053312yes—
subgroupG/H
center, FrattiniC24C23×D53
commutatorC23×C53C23×C4
FittingC53×#1441C2
socle, cosocleC24×C53C24
prime radicalC24×D53C23
hypercenter#1441D53
hypocenterC53#14339
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
5. #20272969C2semidirect
6. #20272968C2semidirect
7. #20272967C2semidirect
8. #20272966C2semidirect
9. #20272965C2semidirect
11. C53×#1441C2semidirect
22. C2×C4⋊C4×D53C4semidirect
196. C2×C4×D53C4⋊C4semidirect
359. #1441D53semidirect
402. C53#14339semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D532
C2×#168104852
C2×#168104822
C2×#168104802
#202729692
#202729682
#202729672
#202729662
#202729652
#202729362
C53×#14412
#1433953