Finite Group Databasebeta

← #27306072

Subgroups — #27306072

Order 13568.

2510 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D53C211yesmaximal, characteristic
2C2×#16810497C212yesmaximal
3C2×#16810494C212yesmaximal
4C2×#16810492C212yesmaximal, complemented
5C2×#16810482C211yesmaximal, characteristic
6C2×#16810470C211yesmaximal, characteristic
7#20272980C211yesmaximal, characteristic, complemented
8#20272979C211yesmaximal, characteristic, complemented
9#20272978C211yesmaximal, characteristic, complemented
10#20272943C212yesmaximal, complemented
11C53×#1444C211yesmaximal, characteristic, complemented
12C23×C4×D53C2212yes—
13C23×C4×D53C2211yescharacteristic
14C22×C4⋊Dic53C2211yescharacteristic
15C22×C4⋊Dic53C2212yes—
16C22×#11719919C2211yescharacteristic
17C22×#11719919C2211yescharacteristic
18C22×#11719919C2212yes—
19C22×#11719919C2212yes—
20C22×#11719919C2212yes—
21C2×C4⋊C4×D53—24no—
22C2×C4⋊C4×D53—28no—
23C22×#11719921C2211yescharacteristic
24C22×#11719921C2211yescharacteristic
25C22×#11719921C2212yes—
26C22×C4×Dic53C2212yes—
27#16810497—28no—
28#16810494—28no—
29#16810492—28no—
30#16810482—24no—
31#16810470C418yescomplemented
32C2×#13133124C2212yes—
33C2×#13133124C2212yes—
34C2×#13133124C2212yes—
35C2×#13133124C2211yescharacteristic
36C2×#13133124C2211yescharacteristic
37C22×C4⋊C4×C53C2211yescharacteristic
38C22×C4⋊C4×C53C2212yes—
39C2×#95×C53C2212yes—
40C2×#95×C53C2211yescharacteristic
41C2×#95×C53C2211yescharacteristic
42C24×D53C2311yescharacteristic
43C23×Dic53C2311yescharacteristic
44C23×Dic53C2311yescharacteristic
45C23×Dic53C2312yes—
46C23×Dic53C2312yes—
47C23×Dic53C2311yescharacteristic
48C22×C4×D53—24no—
49C22×C4×D53—24no—
50C22×C4×D53—24no—
51C22×C4×D53—24no—
52C22×C4×D53—24no—
53C22×C4×D53—24no—
54C22×C4×D53—24no—
55C22×C4×D53—42no—
56C22×C4×D53—42no—
57C22×C4×D53C2×C414yes—
58C22×C4×D53D414yes—
59C22×C4×D53Q814yes—
60C2×C4⋊Dic53—22no—
61C2×C4⋊Dic53—24no—
62C2×C4⋊Dic53—24no—
63C2×C4⋊Dic53—24no—
64C2×C4⋊Dic53—42no—
65C2×#11719919—24no—
66C2×#11719919—24no—
67C2×#11719919—24no—
68C2×#11719919—24no—
69C2×#11719919—22no—
70C2×#11719919—22no—
71C2×#11719919—24no—
72C2×#11719919—24no—
73C2×#11719919—24no—
74C2×#11719919—24no—
75C2×#11719919—42no—
76C2×#11719919—42no—
77C2×#11719919D418yes—
78C4⋊C4×D53—232no—
79C2×#11719921—24no—
80C2×#11719921—22no—
81C2×#11719921—22no—
82C2×#11719921—24no—
83C2×#11719921C2×C418yes—
84C2×#11719921D418yes—
85C2×#11719921Q818yes—
86C2×C4×Dic53—24no—
87C2×C4×Dic53—24no—
88C2×C4×Dic53C2×C418yescomplemented
89#13133124—22no—
90#13133124—24no—
91#13133124—24no—
92#13133124—24no—
93#13133124C2×C414yescomplemented
94C23×C4×C53C2311yescharacteristic
95C23×C4×C53C2311yescharacteristic
96C23×C4×C53C2312yes—
97C23×C4×C53C2312yes—
98C23×C4×C53C2311yescharacteristic
99C2×C4⋊C4×C53—24no—
100C2×C4⋊C4×C53—22no—
101C2×C4⋊C4×C53—24no—
102C2×C4⋊C4×C53—24no—
103C2×C4⋊C4×C53—42no—
104#95×C53—24no—
105#95×C53—22no—
106#95×C53C2×C414yescomplemented
107C24×C53C2411yescharacteristic
108C23×D53—22no—
109C23×D53—22no—
110C23×D53—21no—
111C23×D53—21no—
112C23×D53—21no—
113C23×D53—21no—
114C23×D53C22×C412yes—
115C23×D53C2×D414yes—
116C23×D53C2×D412yes—
117C23×D53C2×Q814yes—
118C23×D53C2×Q812yes—
119C22×C4×C53—22no—
120C22×C4×C53—22no—
121C22×C4×C53—22no—
122C22×C4×C53—22no—
123C22×C4×C53—22no—
124C22×C4×C53—22no—
125C22×C4×C53—22no—
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—21no—
133C22×C4×C53—21no—
134C22×C4×C53—22no—
135C22×C4×C53—22no—
136C22×C4×C53—22no—
137C22×C4×C53—21no—
138C22×C4×C53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53C22×C412yes—
142C22×C4×C53C22×C414yes—
143C22×C4×C53C2×D414yes—
144C22×C4×C53C2×D412yes—
145C22×C4×C53C2×D414yes—
146C22×C4×C53C2×Q812yes—
147C22×C4×C53C2×Q814yes—
148C22×Dic53—22no—
149C22×Dic53—22no—
150C22×Dic53—22no—
151C22×Dic53—22no—
152C22×Dic53—22no—
153C22×Dic53—22no—
154C22×Dic53—22no—
155C22×Dic53—22no—
156C22×Dic53—22no—
157C22×Dic53—22no—
158C22×Dic53—22no—
159C22×Dic53—21no—
160C22×Dic53—21no—
161C22×Dic53—22no—
162C22×Dic53—22no—
163C22×Dic53—22no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53—21no—
168C22×Dic53C22×C414yes—
169C22×Dic53C22×C412yes—
170C22×Dic53C2×D414yes—
171C22×Dic53C2×D414yes—
172C22×Dic53C2×D412yes—
173C22×Dic53C2×D414yes—
174C22×Dic53C2×Q814yes—
175C22×Dic53C2×Q812yes—
176C22×Dic53#4114yes—
177C2×C4×D53—216no—
178C2×C4×D53—28no—
179C2×C4×D53—216no—
180C2×C4×D53—28no—
181C2×C4×D53—216no—
182C2×C4×D53—48no—
183C2×C4×D53—48no—
184C2×C4×D53—48no—
185C2×C4×D53—48no—
186C2×C4×D53—48no—
187C2×C4×D53—48no—
188C2×C4×D53C4⋊C4116yescomplemented
189C4⋊C4×C53—28no—
190C4⋊C4×C53—48no—
191#11719921—44no—
192#11719921—44no—
193#11719921C4⋊C4132yescomplemented
194C4⋊Dic53—28no—
195C4⋊Dic53—48no—
196#11719919—216no—
197#11719919—48no—
198#11719919—48no—
199#11719919—44no—
200#11719919—44no—
201C4×Dic53—216no—
202C23×C53C23×C411yescharacteristic
203C23×C53C22×D411yescharacteristic
204C23×C53C22×D412yes—
205C23×C53C22×D412yes—
206C23×C53C22×Q811yescharacteristic
207C23×C53C22×Q812yes—
208C23×C53C2×#4112yes—
209C23×C53H(5,𝔽2)11yescharacteristic
210C23×C53H(5,𝔽2)11yescharacteristic
211C23×C532−1+411yescharacteristic
212C23×C532−1+411yescharacteristic
213C22×D53—24no—
214C22×D53—22no—
215C22×D53—22no—
216C22×D53—22no—
217C22×D53—24no—
218C22×D53—22no—
219C22×D53—22no—
220C22×D53—22no—
221C22×D53—22no—
222C22×D53—22no—
223C22×D53—24no—
224C22×D53—24no—
225C22×D53—24no—
226C22×D53—24no—
227C22×D53—24no—
228C22×D53—24no—
229C22×D53—24no—
230C22×D53—24no—
231C22×D53C2×C4⋊C414yes—
232C22×D53C2×C4⋊C418yes—
233C22×D53#12714yes—
234C22×D53C4⋊Q814yes—
235C22×D53C4⋊Q818yes—
236C2×C4×C53—24no—
237C2×C4×C53—24no—
238C2×C4×C53—24no—
239C2×C4×C53—22no—
240C2×C4×C53—24no—
241C2×C4×C53—22no—
242C2×C4×C53—24no—
243C2×C4×C53—24no—
244C2×C4×C53—24no—
245C2×C4×C53—24no—
246C2×C4×C53—24no—
247C2×C4×C53—24no—
248C2×C4×C53—24no—
249C2×C4×C53—42no—
250C2×C4×C53—42no—
251C2×C4×C53—42no—
252C2×C4×C53—42no—
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—42no—
260C2×C4×C53—42no—
261C2×C4×C53—42no—
262C2×C4×C53—42no—
263C2×C4×C53C2×C4⋊C414yes—
264C2×C4×C53C2×C4⋊C418yescomplemented
265C2×Dic53—24no—
266C2×Dic53—24no—
267C2×Dic53—24no—
268C2×Dic53—24no—
269C2×Dic53—24no—
270C2×Dic53—24no—
271C2×Dic53—24no—
272C2×Dic53—24no—
273C2×Dic53—24no—
274C2×Dic53—42no—
275C2×Dic53—42no—
276C2×Dic53—42no—
277C2×Dic53—42no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—42no—
285C2×Dic53—42no—
286C2×Dic53—42no—
287C2×Dic53—42no—
288C2×Dic53C2×C4⋊C414yes—
289C2×Dic53C2×C4⋊C418yescomplemented
290C2×Dic53C4×D418yes—
291C2×Dic53#12014yes—
292C2×Dic53C22⋊Q818yes—
293C2×Dic53#12314yes—
294C4×D53—232no—
295C4×D53—432no—
296#13880—531nomaximal, Sylow
297C22×C53C22×C4⋊C411yescharacteristic
298C22×C53C22×C4⋊C412yes—
299C22×C53C2×C4×D412yes—
300C22×C53#52011yescharacteristic
301C22×C53#52011yescharacteristic
302C22×C53C2×#12011yescharacteristic
303C22×C53C2×C22⋊Q812yes—
304C22×C53C2×#12311yescharacteristic
305C22×C53C2×#12711yescharacteristic
306C22×C53C2×C4⋊Q811yescharacteristic
307C22×C53C2×C4⋊Q812yes—
308C22×C53#53511yescharacteristic
309C22×C53#53611yescharacteristic
310C22×C53#54411yescharacteristic
311C22×C53#54411yescharacteristic
312C22×C53D4212yes—
313C22×C53D4212yes—
314C22×C53#54712yes—
315C22×C53#54712yes—
316C22×C53D4×Q812yes—
317C22×C53D4×Q812yes—
318C22×C53#55412yes—
319C22×C53#55412yes—
320C2×D53—24no—
321C2×D53—28no—
322C2×D53—28no—
323C2×D53—24no—
324C2×D53—24no—
325C2×D53—28no—
326C2×D53—28no—
327C2×D53—24no—
328C2×D53—24no—
329C2×D53—24no—
330C2×D53#38418yescomplemented
331C4×C53—28no—
332C4×C53—24no—
333C4×C53—44no—
334C4×C53—81no—
335C4×C53—81no—
336Dic53—28no—
337Dic53—44no—
338Dic53—81no—
339Dic53—81no—
340Dic53#38518yescomplemented
341C23×C4⋊C4—531no—
342C2×#385—532no—
343C2×#385—532no—
344C2×#384—532no—
345C2×#380—531no—
346C2×C4×C22⋊C4—531no—
347#1444—531no—
348#1444—531no—
349#1444—531no—
350#1444D5311yescharacteristic, complemented
351C4⋊#95—532no—
352C2×C53C2×#38411yescharacteristic
353C2×C53C2×#38511yescharacteristic
354C2×C53#231711yescharacteristic
355C2×C53D4×C4⋊C412yes—
356C2×C53D4×C4⋊C412yes—
357C2×C53#243311yescharacteristic
358C2×C53#243411yescharacteristic
359C2×C53#244012yes—
360C2×C53#244012yes—
361C2×C53#250111yescharacteristic
362C2×C53#250211yescharacteristic
363D53—28no—
364C24×C4—531no—
365C24×C4—532no—
366C22×C4⋊C4—532no—
367C22×C4⋊C4—531no—
368C22×C4⋊C4—531no—
369C22×C4⋊C4—531no—
370C22×C4⋊C4—532no—
371C22×C4⋊C4—532no—
372C22×C4⋊C4—532no—
373C22×C4⋊C4—1068no—
374C22×C4⋊C4—1064no—
375C22×C4⋊C4C2×D5311yescharacteristic
376C22×C4⋊C4C2×D5312yes—
377C22×C22⋊C4—532no—
378C22×C22⋊C4—531no—
379C22×C22⋊C4—531no—
380C22×C42—532no—
381#385—1068no—
382#385—1068no—
383#384—1068no—
384#380—1064no—
385C4×C22⋊C4—538no—
386C2×#95—531no—
387C2×#95—532no—
388C2×#95—532no—
389C2×#95—532no—
390C2×#95—531no—
391C2×#95C2×D5312yes—
392C2×#95C2×D5311yescharacteristic
393C2×#95C2×D5311yescharacteristic
394C53#1388011yescharacteristic, complemented, Sylow
395C25—531no—
396C23×C4—531no—
397C23×C4—532no—
398C23×C4—534no—
399C23×C4—534no—
400C23×C4—534no—
401C23×C4—532no—
402C23×C4—531no—
403C23×C4—531no—
404C23×C4—1064no—
405C23×C4—1064no—
406C23×C4—1064no—
407C23×C4—1064no—
408C23×C4—1064no—
409C23×C4—1064no—
410C23×C4—1064no—
411C23×C4—2122no—
412C23×C4—2122no—
413C23×C4C22×D5311yescharacteristic
414C23×C4C22×D5311yescharacteristic
415C23×C4C22×D5312yes—
416C23×C4C22×D5312yes—
417C23×C4C22×D5311yescharacteristic
418C2×C4⋊C4—24no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4—538no—
424C2×C4⋊C4—10632no—
425C2×C4⋊C4—1064no—
426C2×C4⋊C4—1064no—
427C2×C4⋊C4—1064no—
428C2×C4⋊C4—1062no—
429C2×C4⋊C4—1064no—
430C2×C4⋊C4—1062no—
431C2×C4⋊C4—1062no—
432C2×C4⋊C4—1064no—
433C2×C4⋊C4—1064no—
434C2×C4⋊C4—1064no—
435C2×C4⋊C4—1064no—
436C2×C4⋊C4—1064no—
437C2×C4⋊C4—1064no—
438C2×C4⋊C4—1064no—
439C2×C4⋊C4—2122no—
440C2×C4⋊C4—2122no—
441C2×C4⋊C4—2122no—
442C2×C22⋊C4—538no—
443C2×C22⋊C4—538no—
444C2×C22⋊C4—538no—
445C2×C22⋊C4—1062no—
446C2×C22⋊C4—1062no—
447C2×C22⋊C4—1064no—
448C2×C22⋊C4—1064no—
449C2×C42—538no—
450C2×C42—1064no—
451C2×C42—1064no—
452#95—22no—
453#95—24no—
454#95—534no—
455#95—1064no—
456#95—1064no—
457#95—1062no—
458#95—1064no—
459#95C4×D5314yescomplemented
460C24—532no—
461C24—534no—
462C24—532no—
463C24—534no—
464C24—532no—
465C24—1062no—
466C24—1062no—
467C24—1061no—
468C24—1061no—
469C24—1061no—
470C24—1061no—
471C24C23×D5311yescharacteristic
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—532no—
495C22×C4—534no—
496C22×C4—532no—
497C22×C4—532no—
498C22×C4—534no—
499C22×C4—534no—
500C22×C4—534no—
501C22×C4—534no—
502C22×C4—5316no—
503C22×C4—534no—
504C22×C4—1068no—
505C22×C4—10616no—
506C22×C4—10616no—
507C22×C4—1068no—
508C22×C4—10616no—
509C22×C4—1062no—
510C22×C4—1062no—
511C22×C4—1062no—
512C22×C4—1062no—
513C22×C4—1062no—
514C22×C4—1062no—
515C22×C4—1062no—
516C22×C4—1062no—
517C22×C4—1062no—
518C22×C4—1062no—
519C22×C4—1062no—
520C22×C4—1061no—
521C22×C4—1061no—
522C22×C4—1062no—
523C22×C4—1062no—
524C22×C4—1062no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—1061no—
529C22×C4—2128no—
530C22×C4—2128no—
531C22×C4—2128no—
532C22×C4—2128no—
533C22×C4—2128no—
534C22×C4—2128no—
535C22×C4C2×C4×D5312yes—
536C22×C4C2×C4×D5314yes—
537C22×C4D4×D5314yes—
538C22×C4D4×D5312yes—
539C22×C4D4×D5314yes—
540C22×C4Q8×D5312yes—
541C22×C4Q8×D5314yes—
542C4⋊C4—28no—
543C4⋊C4—48no—
544C4⋊C4—10616no—
545C4⋊C4—1068no—
546C4⋊C4—2128no—
547C4⋊C4—2128no—
548C4⋊C4—2124no—
549C4⋊C4—2124no—
550C4⋊C4—2128no—
551C22⋊C4—5332no—
552C22⋊C4—2124no—
553C22⋊C4—2124no—
554C42—10616no—
555C23—538no—
556C23—534no—
557C23—534no—
558C23—534no—
559C23—538no—
560C23—1064no—
561C23—1064no—
562C23—1064no—
563C23—1064no—
564C23—1064no—
565C23—1064no—
566C23—1064no—
567C23—1062no—
568C23—1062no—
569C23—1062no—
570C23—1064no—
571C23—1062no—
572C23—1062no—
573C23—1062no—
574C23—1062no—
575C23—1062no—
576C23—1064no—
577C23—1064no—
578C23C22×C4×D5311yescharacteristic
579C23C2×D4×D5312yes—
580C23C2×D4×D5312yes—
581C23C2×D4×D5311yescharacteristic
582C23C2×Q8×D5312yes—
583C23C2×Q8×D5311yescharacteristic
584C23#41×D5312yes—
585C23#1313326211yescharacteristic
586C23#1313326311yescharacteristic
587C23#1313326411yescharacteristic
588C23#1313326511yescharacteristic
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—534no—
617C2×C4—538no—
618C2×C4—534no—
619C2×C4—538no—
620C2×C4—534no—
621C2×C4—538no—
622C2×C4—10632no—
623C2×C4—1064no—
624C2×C4—1064no—
625C2×C4—1064no—
626C2×C4—1064no—
627C2×C4—1064no—
628C2×C4—1064no—
629C2×C4—1064no—
630C2×C4—1064no—
631C2×C4—1064no—
632C2×C4—21232no—
633C2×C4—2122no—
634C2×C4—2122no—
635C2×C4—2121no—
636C2×C4—2121no—
637C2×C4—2121no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2122no—
642C2×C4—2122no—
643C2×C4—2122no—
644C2×C4—2122no—
645C2×C4—2122no—
646C2×C4—2122no—
647C2×C4C4⋊C4×D5314yes—
648C2×C4C4⋊C4×D5318yescomplemented
649C22—538no—
650C22—1064no—
651C22—1064no—
652C22—1064no—
653C22—1068no—
654C22—1068no—
655C22—1064no—
656C22—1068no—
657C22—1068no—
658C22—1064no—
659C22—1064no—
660C22C2×C4⋊C4×D5311yescharacteristic
661C22C2×C4⋊C4×D5312yes—
662C22C4×D4×D5312yes—
663C22#1681110211yescharacteristic
664C22#1681110511yescharacteristic
665C22#120×D5311yescharacteristic
666C22C22⋊Q8×D5312yes—
667C22#123×D5311yescharacteristic
668C22#127×D5311yescharacteristic
669C22C4⋊Q8×D5311yescharacteristic
670C22C4⋊Q8×D5312yes—
671C22#1681118911yescharacteristic
672C22#1681119611yescharacteristic
673C22#1681125011yescharacteristic
674C22#1681125311yescharacteristic
675C22#1681125512yes—
676C22#1681125712yes—
677C22#1681127112yes—
678C22#1681127512yes—
679C22#1681128612yes—
680C22#1681128812yes—
681C22#1681132712yes—
682C22#1681132912yes—
683C4—28no—
684C4—24no—
685C4—44no—
686C4—81no—
687C4—81no—
688C4—538no—
689C4—1068no—
690C4—4241no—
691C4—4241no—
692C4—2124no—
693C2—1068no—
694C2#384×D5311yescharacteristic
695C2#385×D5311yescharacteristic
696C2#2027733711yescharacteristic
697C2#2027761312yes—
698C2#2027761612yes—
699C2#2027834711yescharacteristic
700C2#2027835411yescharacteristic
701C2#2027841012yes—
702C2#2027841212yes—
703C2#2027918111yescharacteristic
704C2#2027918811yescharacteristic
subgroupG/H
center, FrattiniC24C23×D53
commutatorC23×C53C23×C4
FittingC53×#1444C2
socle, cosocleC24×C53C24
prime radicalC24×D53C23
hypercenter#1444D53
hypocenterC53#13880
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C24 ◁ #1444

Complements

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

NH ≅ G/Ntype
4. C2×#16810492C2semidirect
7. #20272980C2semidirect
8. #20272979C2semidirect
9. #20272978C2semidirect
10. #20272943C2semidirect
11. C53×#1444C2semidirect
31. #16810470C4semidirect
88. C2×C4×Dic53C2×C4semidirect
93. #13133124C2×C4semidirect
106. #95×C53C2×C4semidirect
188. C2×C4×D53C4⋊C4semidirect
193. #11719921C4⋊C4semidirect
264. C2×C4×C53C2×C4⋊C4semidirect
289. C2×Dic53C2×C4⋊C4semidirect
330. C2×D53#384semidirect
340. Dic53#385semidirect
350. #1444D53semidirect
394. C53#13880semidirect
459. #95C4×D53semidirect
648. C2×C4C4⋊C4×D53semidirect

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×#168104972
C2×#168104942
C2×#168104922
C2×#168104822
C2×#168104702
#202729802
#202729792
#202729782
#202729432
C53×#14442
#1388053