Finite Group Databasebeta

← #27402431

Subgroups — #27402431

Order 13568.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810733C211yesmaximal, characteristic
2C2×#16810732C211yesmaximal, characteristic
3C2×#16810703C211yesmaximal, characteristic
4#20277623C211yesmaximal, characteristic, complemented
5D4×C4⋊Dic53C211yesmaximal, characteristic, complemented
6#20275457C211yesmaximal, characteristic, complemented
7#20275442C211yesmaximal, characteristic, complemented
8#20274977C211yesmaximal, characteristic, complemented
9#20274974C211yesmaximal, characteristic, complemented
10#20274963C211yesmaximal, characteristic, complemented
11#20274960C211yesmaximal, characteristic, complemented
12#20274884C211yesmaximal, characteristic, complemented
13#20274716C211yesmaximal, characteristic, complemented
14#20274592C211yesmaximal, characteristic, complemented
15C53×#1804C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C2×C4×D212C2211yescharacteristic
18C2×D4×Dic53C2211yescharacteristic
19C2×D4×Dic53C2211yescharacteristic
20C2×#13133179C2211yescharacteristic
21C2×#13133179C2211yescharacteristic
22C22×C4⋊Dic53—21no—
23#16810733C418yescomplemented
24#16810732—24no—
25#16810703—24no—
26C2×#13133150C2211yescharacteristic
27C2×#13133150C2211yescharacteristic
28C2×#13133148C2211yescharacteristic
29C2×#13133148C2211yescharacteristic
30C2×#13133148C2211yescharacteristic
31C2×#13133139C2211yescharacteristic
32C2×#13133139C2211yescharacteristic
33C2×#13133138C2211yescharacteristic
34C2×#13133137C2211yescharacteristic
35C2×#13133128C2211yescharacteristic
36C2×#13133127C2211yescharacteristic
37C2×C8×Dic53C2211yescharacteristic
38#16810522C2211yescharacteristic
39#16810522C2211yescharacteristic
40#16810519C2211yescharacteristic
41#16810519C2211yescharacteristic
42#16810498—21no—
43#16810498—21no—
44#16810497—21no—
45#16810497—21no—
46#16810493C2211yescharacteristic
47#16810483—21no—
48#16810482—21no—
49C4×C4⋊Dic53C2211yescharacteristic
50#95×D53—21no—
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810377C2211yescharacteristic
54#16810377C2211yescharacteristic
55C2×C4×D4×C53C2211yescharacteristic
56C2×C4⋊C8×C53C2211yescharacteristic
57C2×#102×C53C2211yescharacteristic
58C2×#102×C53C2211yescharacteristic
59C53×#382C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×D212C2311yescharacteristic
63C23×Dic53—21no—
64C23×Dic53—21no—
65C22×C4×D53—21no—
66C22×C4×D53—21no—
67C22×C4×D53—21no—
68C2×#11719922C2×C414yes—
69C2×#11719922D414yes—
70C2×#11719922Q814yes—
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C4×D212—22no—
74C4×D212C2×C414yescomplemented
75D4×Dic53—22no—
76D4×Dic53—22no—
77D4×Dic53—41no—
78D4×Dic53—41no—
79#13133179—22no—
80#13133179—22no—
81#13133179—41no—
82#13133179—41no—
83C2×C4⋊Dic53—21no—
84C2×C4⋊Dic53—21no—
85C2×C4⋊Dic53—21no—
86C2×C4⋊Dic53—21no—
87C2×C4⋊Dic53—44no—
88C2×C4⋊Dic53D411yescharacteristic
89C2×C4⋊Dic53D411yescharacteristic
90C2×C4⋊Dic53C2311yescharacteristic
91C2×C4⋊Dic53C2311yescharacteristic
92C2×C4⋊Dic53C2311yescharacteristic
93C2×#11719919—21no—
94C2×#11719919—21no—
95C2×C22⋊Dic53—21no—
96C2×C22⋊Dic53—21no—
97C2×#11719921—21no—
98C2×#11719921—21no—
99C2×#11719921—21no—
100C2×C4×Dic53C2311yescharacteristic
101C2×C4×Dic53C2311yescharacteristic
102#13133150—22no—
103#13133150—41no—
104#13133148—22no—
105#13133148—41no—
106#13133148C2×C414yescomplemented
107#13133139—22no—
108#13133139—22no—
109#13133138C2×C414yescomplemented
110#13133137C2×C414yescomplemented
111#13133128C2×C414yescomplemented
112#13133127—22no—
113C8×Dic53—22no—
114#13133124—21no—
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118#13133124D411yescharacteristic
119#13133124D411yescharacteristic
120C22×D4×C53C2311yescharacteristic
121C23×C4×C53—21no—
122C22×C8×C53C2311yescharacteristic
123C22×C8×C53C2311yescharacteristic
124C4×D4×C53—22no—
125C4×D4×C53C2×C414yescomplemented
126C2×C4⋊C4×C53C2311yescharacteristic
127C2×C4⋊C4×C53C2311yescharacteristic
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C22⋊C4×C53—21no—
130C2×C42×C53C2311yescharacteristic
131C4⋊C8×C53—22no—
132#102×C53—22no—
133#102×C53—22no—
134#95×C53—21no—
135#95×C53—21no—
136C24×C53—21no—
137C23×D53—21no—
138C2×D4×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53C22×C412yes—
142C2×D4×C53C2×D412yes—
143C2×D4×C53C2×Q812yes—
144C22×C4×C53—21no—
145C22×C4×C53—24no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—42no—
149C22×C4×C53—42no—
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2411yescharacteristic
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53—21no—
156C22×Dic53—42no—
157C22×Dic53—42no—
158C22×Dic53—42no—
159C22×Dic53—42no—
160C22×Dic53—81no—
161C22×Dic53—81no—
162C22×Dic53C2×D411yescharacteristic
163C22×Dic53C2×D411yescharacteristic
164C22×Dic53C2×D411yescharacteristic
165C22×Dic53C2×D411yescharacteristic
166C2×D212—21no—
167C2×D212—21no—
168C2×D212—21no—
169C2×D212C22×C412yes—
170C2×D212C2×D412yes—
171C2×D212C2×Q812yes—
172C2×C4×D53—24no—
173C2×C4×D53—42no—
174C2×C4×D53—42no—
175C2×C4×D53—42no—
176C2×C4×D53—42no—
177C2×C4×D53—81no—
178C2×C4×D53—81no—
179C2×C4×D53—81no—
180C2×C4×D53—81no—
181C2×C8×C53—21no—
182C2×C8×C53—21no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C4⋊C4×C53—21no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53C22×C412yes—
193C22⋊C4×C53—24no—
194C42×C53C22×C412yes—
195C42×C53#4112yes—
196C22⋊Dic53—42no—
197C22⋊Dic53—42no—
198#11719922C4⋊C4116yescomplemented
199#11719921—24no—
200#11719921—42no—
201#11719921—42no—
202C4⋊Dic53—21no—
203C4⋊Dic53—22no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—41no—
209C4⋊Dic53—42no—
210C4⋊Dic53—42no—
211C4⋊Dic53—42no—
212C4⋊Dic53—81no—
213C4⋊Dic53C22×C412yes—
214#11719919—81no—
215#11719919—81no—
216C4×Dic53—21no—
217C4×Dic53—21no—
218C4×Dic53—21no—
219C4×Dic53—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322C22×C412yes—
223C2×#88322C22×C412yes—
224C2×#88322C2×D412yes—
225C2×#88322C2×Q812yes—
226C23×C53—22no—
227C23×C53—22no—
228C23×C53—22no—
229C23×C53—41no—
230C23×C53—41no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53C22×D411yescharacteristic
234C22×D53—22no—
235C22×D53—22no—
236C22×D53—22no—
237C22×D53—41no—
238C22×D53—41no—
239C22×D53—41no—
240C22×D53—41no—
241D4×C53—22no—
242D4×C53—22no—
243D4×C53—22no—
244D4×C53C2×C4⋊C414yes—
245C2×C4×C53—21no—
246C2×C4×C53—21no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—22no—
250C2×C4×C53—48no—
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×C53C4×D412yes—
260C2×C4×C53C4×D412yes—
261C2×C4×C53C23×C411yescharacteristic
262C2×C4×C53C22×D411yescharacteristic
263C2×C4×C53C22×Q811yescharacteristic
264C2×C4×C53C2×#4111yescharacteristic
265C2×C4×C53H(5,𝔽2)11yescharacteristic
266C2×C4×C532−1+411yescharacteristic
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—22no—
270C2×Dic53—21no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—21no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—84no—
288C2×Dic53—84no—
289C2×Dic53AGL(1,ℤ/8)12yes—
290D212—22no—
291D212—22no—
292D212—22no—
293D212C2×C4⋊C414yescomplemented
294C4×D53—84no—
295C4×D53—84no—
296C4×D53—84no—
297C8×C53—41no—
298C8×C53—41no—
299#88322—22no—
300#88322C2×C4⋊C414yescomplemented
301#22676—531nomaximal, Sylow
302C22×C53—24no—
303C22×C53—42no—
304C22×C53—42no—
305C22×C53—42no—
306C22×C53—42no—
307C22×C53—42no—
308C22×C53—42no—
309C22×C53C2×C4×D411yescharacteristic
310C22×C53D4211yescharacteristic
311C22×C53D4×Q811yescharacteristic
312C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C53#57511yescharacteristic
314C22×C53#57611yescharacteristic
315C22×C53#57711yescharacteristic
316C2×D53—24no—
317C2×D53—42no—
318C2×D53—42no—
319C2×D53—42no—
320C2×D53—42no—
321C2×D53—42no—
322C2×D53—42no—
323C4×C53—22no—
324C4×C53—22no—
325C4×C53—42no—
326C4×C53—81no—
327C4×C53—81no—
328C4×C53C22×C4⋊C411yescharacteristic
329C4×C53#52011yescharacteristic
330C4×C53#54711yescharacteristic
331C4×C53#55411yescharacteristic
332Dic53—22no—
333Dic53—42no—
334Dic53—41no—
335Dic53—41no—
336Dic53—41no—
337Dic53—81no—
338Dic53—81no—
339C2×#442—531no—
340C2×#442—531no—
341C2×C4×D8—531no—
342#2349—531no—
343D4×C4⋊C4—531no—
344#1944—531no—
345#1941—531no—
346#1864—531no—
347#1864—531no—
348#1862—531no—
349#1862—531no—
350#1847—531no—
351#1804D5311yescharacteristic, complemented
352#1802—531no—
353#1771—531no—
354C2×C53—44no—
355C2×C53D4×C4⋊C411yescharacteristic
356C2×C53C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C53#294611yescharacteristic
358C2×C53#326411yescharacteristic
359C2×C53#326711yescharacteristic
360C2×C53#338411yescharacteristic
361C2×C53#338911yescharacteristic
362D53—44no—
363C22×D8—531no—
364C2×C4×D4—531no—
365C2×C4×D4—531no—
366C2×C4×D4—531no—
367C2×C4×D4—531no—
368C2×C4×D4—531no—
369C2×C4×D4C2×D5311yescharacteristic
370C22×C4⋊C4—1061no—
371#442—538no—
372#442—1064no—
373C4×D8—1064no—
374C2×#107—531no—
375C2×#107—531no—
376C2×#106—531no—
377C2×#106—531no—
378C2×#106—531no—
379C2×C4⋊C8C2×D5311yescharacteristic
380C2×#102—531no—
381C2×#102—531no—
382C2×#102—531no—
383C2×#102—531no—
384C2×#102C2×D5311yescharacteristic
385C2×#102C2×D5311yescharacteristic
386C2×#97—531no—
387C2×#97—531no—
388C2×C4×C8—531no—
389#389—531no—
390#389—531no—
391#389—531no—
392#389—531no—
393#385—1061no—
394#385—1061no—
395#385—1061no—
396#385—1061no—
397#384—531no—
398#382C2×D5311yescharacteristic
399#380—1061no—
400#380—1061no—
401C4×C4⋊C4—531no—
402C2×#95—1061no—
403#340—531no—
404#340—531no—
405#340C2×D5311yescharacteristic
406#340C2×D5311yescharacteristic
407#336—531no—
408#336—531no—
409C53#2267611yescharacteristic, complemented, Sylow
410C22×D4—531no—
411C22×D4C22×D5311yescharacteristic
412C23×C4—21no—
413C23×C4—1061no—
414C23×C4—1061no—
415C23×C4—1061no—
416C23×C4—1061no—
417C23×C4—1061no—
418C2×D8—534no—
419C2×D8—534no—
420C2×D8—534no—
421C22×C8—531no—
422C22×C8—531no—
423C22×C8C22×D5311yescharacteristic
424C22×C8C22×D5311yescharacteristic
425C4×D4—22no—
426C4×D4—534no—
427C4×D4—1062no—
428C4×D4—1062no—
429C4×D4—1062no—
430C4×D4—1062no—
431C4×D4—1062no—
432C4×D4—2121no—
433C4×D4—2121no—
434C4×D4—2121no—
435C4×D4—2121no—
436C4×D4C4×D5314yescomplemented
437C2×C4⋊C4—531no—
438C2×C4⋊C4—531no—
439C2×C4⋊C4—531no—
440C2×C4⋊C4—531no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—1061no—
443C2×C4⋊C4—1061no—
444C2×C4⋊C4—1061no—
445C2×C4⋊C4—1061no—
446C2×C4⋊C4—1061no—
447C2×C4⋊C4—1061no—
448C2×C4⋊C4—2124no—
449C2×C4⋊C4C22×D5311yescharacteristic
450C2×C4⋊C4C22×D5311yescharacteristic
451C2×C4⋊C4C22×D5311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—1061no—
454C2×C22⋊C4—1061no—
455C2×C22⋊C4—1061no—
456C2×C22⋊C4—1061no—
457C2×C22⋊C4—1061no—
458C2×C42—531no—
459C2×C42—531no—
460C2×C42C22×D5311yescharacteristic
461#107—1062no—
462#107—2121no—
463#106—534no—
464#106—1062no—
465#106—2121no—
466C4⋊C8—22no—
467#102—22no—
468#102—22no—
469#102—534no—
470#102—534no—
471#102—1062no—
472#102—1062no—
473#97—534no—
474#97—1062no—
475C4×C8—1062no—
476#95—21no—
477#95—21no—
478#95—531no—
479#95—531no—
480#95—1061no—
481#95—1061no—
482#95—1061no—
483#95—1061no—
484C24—21no—
485C24—1061no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—532no—
490C2×D4—532no—
491C2×D4—532no—
492C2×D4—1061no—
493C2×D4—1061no—
494C2×D4—1061no—
495C2×D4C2×C4×D5312yes—
496C2×D4D4×D5312yes—
497C2×D4Q8×D5312yes—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—531no—
505C22×C4—531no—
506C22×C4—531no—
507C22×C4—531no—
508C22×C4—1061no—
509C22×C4—1064no—
510C22×C4—1061no—
511C22×C4—1061no—
512C22×C4—4241no—
513C22×C4—4241no—
514C22×C4—4241no—
515C22×C4—4241no—
516C22×C4—4241no—
517C22×C4—4241no—
518C22×C4—2122no—
519C22×C4—2122no—
520C22×C4—2122no—
521C22×C4—2122no—
522C22×C4—2122no—
523C22×C4—2122no—
524C22×C4—2122no—
525C22×C4—2122no—
526C22×C4D4×D5311yescharacteristic
527C22×C4D4×D5311yescharacteristic
528C22×C4C23×D5311yescharacteristic
529D8—5316no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—532no—
537C2×C8—532no—
538C2×C8—532no—
539C2×C8—532no—
540C2×C8—1061no—
541C2×C8—1061no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—532no—
548C4⋊C4—1062no—
549C4⋊C4—1061no—
550C4⋊C4—1061no—
551C4⋊C4—1061no—
552C4⋊C4—1061no—
553C4⋊C4—1061no—
554C4⋊C4—4241no—
555C4⋊C4—4241no—
556C4⋊C4—4241no—
557C4⋊C4—2121no—
558C4⋊C4—2122no—
559C4⋊C4—2122no—
560C4⋊C4—2122no—
561C4⋊C4C2×C4×D5312yes—
562C22⋊C4—24no—
563C22⋊C4—1064no—
564C22⋊C4—2122no—
565C22⋊C4—2122no—
566C22⋊C4—2122no—
567C22⋊C4—2122no—
568C42—1061no—
569C42—1061no—
570C42—1061no—
571C42—1061no—
572C42C2×C4×D5312yes—
573C42#1171994712yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—1062no—
582C23—1062no—
583C23—1062no—
584C23—2121no—
585C23—2121no—
586C23—2121no—
587C23—2121no—
588C23C2×D4×D5311yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—534no—
593D4—1062no—
594D4—1062no—
595D4—1062no—
596D4C4⋊C4×D5314yes—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—48no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—532no—
612C2×C4—1061no—
613C2×C4—1061no—
614C2×C4—1062no—
615C2×C4—1061no—
616C2×C4—1061no—
617C2×C4—1061no—
618C2×C4—1061no—
619C2×C4—1061no—
620C2×C4—1061no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—1061no—
624C2×C4—4244no—
625C2×C4—4244no—
626C2×C4—4244no—
627C2×C4—4244no—
628C2×C4—4244no—
629C2×C4—2121no—
630C2×C4—2121no—
631C2×C4—2121no—
632C2×C4—2121no—
633C2×C4—2121no—
634C2×C4—2121no—
635C2×C4—2121no—
636C2×C4—2121no—
637C2×C4#1313317712yes—
638C2×C4#1313317712yes—
639C2×C4C22×C4×D5311yescharacteristic
640C2×C4C2×D4×D5311yescharacteristic
641C2×C4C2×Q8×D5311yescharacteristic
642C2×C4C2×#1171994711yescharacteristic
643C2×C4#1313326311yescharacteristic
644C2×C4#1313326411yescharacteristic
645C8—41no—
646C8—41no—
647C8—534no—
648C8—1062no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—1064no—
657C22—2122no—
658C22—2122no—
659C22—2122no—
660C22—2122no—
661C22—2122no—
662C22—2122no—
663C22C2×#1313317711yescharacteristic
664C22#1681125711yescharacteristic
665C22#1681128611yescharacteristic
666C22AGL(1,ℤ/8)×D5311yescharacteristic
667C22#1681141911yescharacteristic
668C22#1681142511yescharacteristic
669C22#1681143011yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—81no—
674C4—81no—
675C4—1062no—
676C4—4241no—
677C4—4241no—
678C4—2121no—
679C4—2121no—
680C4—2122no—
681C4—2121no—
682C4C2×C4⋊C4×D5311yescharacteristic
683C4#1681110311yescharacteristic
684C4#1681127311yescharacteristic
685C4#1681133111yescharacteristic
686C2—44no—
687C2—2124no—
688C2#2027761111yescharacteristic
689C2#2028351911yescharacteristic
690C2#2028355011yescharacteristic
691C2#2028620111yescharacteristic
692C2#2028623511yescharacteristic
693C2#2028761711yescharacteristic
694C2#2028767211yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1804C2
socleC23×C53C22×D4
prime radicalC22×#11719922C22
cosocleC22×C4×C53C24
hypercenter#1804D53
hypocenterC53#22676
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1804

Complements

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

NH ≅ G/Ntype
4. #20277623C2semidirect
5. D4×C4⋊Dic53C2semidirect
6. #20275457C2semidirect
7. #20275442C2semidirect
8. #20274977C2semidirect
9. #20274974C2semidirect
10. #20274963C2semidirect
11. #20274960C2semidirect
12. #20274884C2semidirect
13. #20274716C2semidirect
14. #20274592C2semidirect
15. C53×#1804C2semidirect
23. #16810733C4semidirect
74. C4×D212C2×C4semidirect
106. #13133148C2×C4semidirect
109. #13133138C2×C4semidirect
110. #13133137C2×C4semidirect
111. #13133128C2×C4semidirect
125. C4×D4×C53C2×C4semidirect
198. #11719922C4⋊C4semidirect
293. D212C2×C4⋊C4semidirect
300. #88322C2×C4⋊C4semidirect
351. #1804D53semidirect
409. C53#22676semidirect
436. C4×D4C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168107332
C2×#168107322
C2×#168107032
#202776232
D4×C4⋊Dic532
#202754572
#202754422
#202749772
#202749742
#202749632
#202749602
#202748842
#202747162
#202745922
C53×#18042
#2267653