Finite Group Databasebeta

← C53×#8408 #27215920

Subgroups — C53×#8408 #27215920

Order 13568.

1040 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
1C2×C53×#538C211yesmaximal, characteristic
2C53×#1874C211yesmaximal, characteristic, complemented
3C53×#1872C211yesmaximal, characteristic, complemented
4C2×C53×#328C211yesmaximal, characteristic, complemented
5C2×C53×#327C211yesmaximal, characteristic, complemented
6C2×C53×#323C211yesmaximal, characteristic, complemented
7C53×#1439C211yesmaximal, characteristic, complemented
8C53×#538—22no—
9C53×#538—22no—
10C53×#538—22no—
11C53×#538C414yescomplemented
12C2×#126×C53—21no—
13C2×#124×C53—21no—
14C2×#123×C53—21no—
15C2×C22⋊Q8×C53C2211yescharacteristic
16C2×#121×C53—21no—
17C2×#121×C53C2211yescharacteristic
18C2×#120×C53—21no—
19C2×C4×D4×C53—21no—
20C22×C4⋊C4×C53C2211yescharacteristic
21C22×C22⋊C4×C53—21no—
22C22×C22⋊C4×C53C2211yescharacteristic
23C2×#103×C53—21no—
24C2×#102×C53—21no—
25C2×C22⋊C8×C53C2211yescharacteristic
26C2×C22⋊C8×C53C2211yescharacteristic
27C2×#95×C53—21no—
28C2×#95×C53C2211yescharacteristic
29C53×#340—21no—
30C53×#340—21no—
31C53×#328—22no—
32C53×#327—22no—
33C53×#323—22no—
34C25×C53D411yescharacteristic
35C22×Q8×C53D411yescharacteristic
36C22×D4×C53—21no—
37C22×D4×C53—21no—
38C22×D4×C53—21no—
39C22×D4×C53D411yescharacteristic
40C23×C4×C53—21no—
41C23×C4×C53—21no—
42C23×C4×C53—21no—
43C23×C4×C53D411yescharacteristic
44C23×C4×C53C2311yescharacteristic
45C22×C8×C53—21no—
46C22×C8×C53—21no—
47#126×C53—24no—
48#126×C53—24no—
49#124×C53—24no—
50#124×C53—24no—
51#123×C53—24no—
52#123×C53—24no—
53C22⋊Q8×C53—21no—
54C22⋊Q8×C53—21no—
55C22⋊Q8×C53C2×C412yes—
56C22⋊Q8×C53D412yes—
57#121×C53—24no—
58#121×C53—24no—
59#121×C53—21no—
60#121×C53—21no—
61#121×C53C2×C412yes—
62#121×C53D412yes—
63#120×C53—24no—
64#120×C53—24no—
65C4×D4×C53—24no—
66C4×D4×C53—24no—
67C2×C4⋊C4×C53—21no—
68C2×C4⋊C4×C53—21no—
69C2×C4⋊C4×C53—21no—
70C2×C4⋊C4×C53—21no—
71C2×C4⋊C4×C53—42no—
72C2×C4⋊C4×C53D411yescharacteristic
73C2×C4⋊C4×C53D411yescharacteristic
74C2×C22⋊C4×C53—21no—
75C2×C22⋊C4×C53—21no—
76C2×C22⋊C4×C53—21no—
77C2×C22⋊C4×C53—21no—
78C2×C22⋊C4×C53—21no—
79C2×C22⋊C4×C53—21no—
80C2×C22⋊C4×C53—21no—
81C2×C22⋊C4×C53—21no—
82C2×C22⋊C4×C53—21no—
83C2×C22⋊C4×C53—42no—
84C2×C22⋊C4×C53—42no—
85C2×C22⋊C4×C53—42no—
86C2×C22⋊C4×C53C2×C412yes—
87C2×C22⋊C4×C53D412yes—
88C2×C42×C53—21no—
89#103×C53—42no—
90#102×C53—42no—
91C22⋊C8×C53—21no—
92C22⋊C8×C53—21no—
93C22⋊C8×C53—21no—
94C22⋊C8×C53—21no—
95#95×C53—21no—
96#95×C53—21no—
97#95×C53—42no—
98C24×C53—21no—
99C24×C53—21no—
100C24×C53—21no—
101C24×C53—21no—
102C24×C53—21no—
103C24×C53—21no—
104C24×C53—21no—
105C24×C53—41no—
106C24×C53—41no—
107C24×C53—41no—
108C24×C53—41no—
109C24×C53C22⋊C412yes—
110C24×C53C2×D411yescharacteristic
111C2×Q8×C53—21no—
112C2×Q8×C53—41no—
113C2×Q8×C53—41no—
114C2×Q8×C53C22⋊C412yescomplemented
115C2×D4×C53—22no—
116C2×D4×C53—22no—
117C2×D4×C53—24no—
118C2×D4×C53—24no—
119C2×D4×C53—21no—
120C2×D4×C53—41no—
121C2×D4×C53—41no—
122C2×D4×C53—41no—
123C2×D4×C53—41no—
124C2×D4×C53—41no—
125C2×D4×C53—41no—
126C2×D4×C53—81no—
127C2×D4×C53—81no—
128C2×D4×C53—81no—
129C2×D4×C53—81no—
130C2×D4×C53C22⋊C412yescomplemented
131C22×C4×C53—21no—
132C22×C4×C53—21no—
133C22×C4×C53—21no—
134C22×C4×C53—21no—
135C22×C4×C53—24no—
136C22×C4×C53—21no—
137C22×C4×C53—22no—
138C22×C4×C53—22no—
139C22×C4×C53—41no—
140C22×C4×C53—41no—
141C22×C4×C53—41no—
142C22×C4×C53—41no—
143C22×C4×C53—41no—
144C22×C4×C53—41no—
145C22×C4×C53—41no—
146C22×C4×C53—41no—
147C22×C4×C53—41no—
148C22×C4×C53—41no—
149C22×C4×C53—41no—
150C22×C4×C53—41no—
151C22×C4×C53—41no—
152C22×C4×C53—41no—
153C22×C4×C53—41no—
154C22×C4×C53—41no—
155C22×C4×C53—81no—
156C22×C4×C53—81no—
157C22×C4×C53C22⋊C412yes—
158C22×C4×C53C22×C411yescharacteristic
159C22×C4×C53C2×D411yescharacteristic
160C22×C4×C53C2×D411yescharacteristic
161C22×C4×C53C2×D411yescharacteristic
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53C2×D411yescharacteristic
164C2×C8×C53—41no—
165C2×C8×C53—41no—
166C2×C8×C53—41no—
167C2×C8×C53—41no—
168C2×C8×C53—41no—
169C2×C8×C53—41no—
170C4⋊C4×C53—24no—
171C4⋊C4×C53—22no—
172C4⋊C4×C53—22no—
173C4⋊C4×C53—21no—
174C4⋊C4×C53—21no—
175C4⋊C4×C53—22no—
176C4⋊C4×C53—22no—
177C4⋊C4×C53—41no—
178C4⋊C4×C53—41no—
179C4⋊C4×C53C22⋊C412yescomplemented
180C4⋊C4×C53C22⋊C412yescomplemented
181C22⋊C4×C53—24no—
182C22⋊C4×C53—24no—
183C22⋊C4×C53—24no—
184C22⋊C4×C53—22no—
185C22⋊C4×C53—22no—
186C22⋊C4×C53—22no—
187C22⋊C4×C53—22no—
188C22⋊C4×C53—22no—
189C22⋊C4×C53—22no—
190C22⋊C4×C53—22no—
191C22⋊C4×C53—22no—
192C22⋊C4×C53—48no—
193C42×C53—24no—
194C23×C53—21no—
195C23×C53—21no—
196C23×C53—21no—
197C23×C53—21no—
198C23×C53—22no—
199C23×C53—22no—
200C23×C53—22no—
201C23×C53—22no—
202C23×C53—42no—
203C23×C53—42no—
204C23×C53—42no—
205C23×C53—42no—
206C23×C53—42no—
207C23×C53—42no—
208C23×C53—41no—
209C23×C53—41no—
210C23×C53—41no—
211C23×C53—41no—
212C23×C53—41no—
213C23×C53—41no—
214C23×C53—41no—
215C23×C53—41no—
216C23×C53—41no—
217C23×C53—41no—
218C23×C53—41no—
219C23×C53—41no—
220C23×C53—41no—
221C23×C53—41no—
222C23×C53—81no—
223C23×C53—81no—
224C23×C53—81no—
225C23×C53—81no—
226C23×C53—81no—
227C23×C53—81no—
228C23×C53C2×C22⋊C411yescharacteristic
229C23×C53#12011yescharacteristic
230C23×C53#12011yescharacteristic
231C23×C53#13511yescharacteristic
232C23×C53#13511yescharacteristic
233C23×C53AGL(1,ℤ/8)11yescharacteristic
234C23×C53#13711yescharacteristic
235Q8×C53—42no—
236Q8×C53—81no—
237D4×C53—42no—
238D4×C53—42no—
239D4×C53—42no—
240D4×C53—42no—
241D4×C53—42no—
242D4×C53—81no—
243D4×C53—84no—
244D4×C53—84no—
245C2×C4×C53—21no—
246C2×C4×C53—21no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
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—41no—
260C2×C4×C53—41no—
261C2×C4×C53—41no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
264C2×C4×C53—41no—
265C2×C4×C53—42no—
266C2×C4×C53—42no—
267C2×C4×C53—42no—
268C2×C4×C53—42no—
269C2×C4×C53—42no—
270C2×C4×C53—42no—
271C2×C4×C53—42no—
272C2×C4×C53—81no—
273C2×C4×C53—84no—
274C2×C4×C53—81no—
275C2×C4×C53—81no—
276C2×C4×C53—81no—
277C2×C4×C53—81no—
278C2×C4×C53—81no—
279C2×C4×C53—81no—
280C2×C4×C53—81no—
281C2×C4×C53—81no—
282C2×C4×C53C2×C22⋊C411yescharacteristic
283C2×C4×C53C2×C22⋊C411yescharacteristic
284C2×C4×C53#12011yescharacteristic
285C2×C4×C53#12011yescharacteristic
286C8×C53—81no—
287C8×C53—81no—
288#8408C5311yesmaximal, characteristic, direct product factor, Sylow
289C22×C53—21no—
290C22×C53—21no—
291C22×C53—21no—
292C22×C53—21no—
293C22×C53—21no—
294C22×C53—21no—
295C22×C53—21no—
296C22×C53—21no—
297C22×C53—21no—
298C22×C53—21no—
299C22×C53—21no—
300C22×C53—21no—
301C22×C53—44no—
302C22×C53—42no—
303C22×C53—42no—
304C22×C53—42no—
305C22×C53—42no—
306C22×C53—42no—
307C22×C53—42no—
308C22×C53—82no—
309C22×C53—82no—
310C22×C53—82no—
311C22×C53—81no—
312C22×C53—81no—
313C22×C53—81no—
314C22×C53—81no—
315C22×C53—81no—
316C22×C53—81no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53#37911yescharacteristic
320C22×C53#41611yescharacteristic
321C22×C53#41711yescharacteristic
322C22×C53#44911yescharacteristic
323C22×C53#44911yescharacteristic
324C22×C53#45211yescharacteristic
325C22×C53#45211yescharacteristic
326C22×C53#45311yescharacteristic
327C22×C53#45511yescharacteristic
328C22×C53B(4,𝔽2)11yescharacteristic
329C22×C53#45811yescharacteristic
330C4×C53—21no—
331C4×C53—21no—
332C4×C53—21no—
333C4×C53—21no—
334C4×C53—42no—
335C4×C53—42no—
336C4×C53—42no—
337C4×C53—42no—
338C4×C53—82no—
339C4×C53—82no—
340C2×#538C2×C5311yescharacteristic
341#1874C2×C5311yescharacteristic, complemented
342#1872C2×C5311yescharacteristic, complemented
343C2×#328C2×C5311yescharacteristic, complemented
344C2×#327C2×C5311yescharacteristic, complemented
345C2×#323C2×C5311yescharacteristic, complemented
346#1439C2×C5311yescharacteristic, complemented
347C2×C53—21no—
348C2×C53—21no—
349C2×C53—21no—
350C2×C53—21no—
351C2×C53—82no—
352C2×C53—82no—
353C2×C53#160011yescharacteristic
354C2×C53#160611yescharacteristic
355C2×C53#161211yescharacteristic
356C2×C53#161811yescharacteristic
357C2×C53#178811yescharacteristic
358C2×C53#179011yescharacteristic
359C2×C53#179211yescharacteristic
360#538—22no—
361#538—22no—
362#538—22no—
363#538C4×C5314yescomplemented
364C2×#126—21no—
365C2×#124—21no—
366C2×#123—21no—
367C2×C22⋊Q8C22×C5311yescharacteristic
368C2×#121—21no—
369C2×#121C22×C5311yescharacteristic
370C2×#120—21no—
371C2×C4×D4—21no—
372C22×C4⋊C4C22×C5311yescharacteristic
373C22×C22⋊C4—21no—
374C22×C22⋊C4C22×C5311yescharacteristic
375C2×#103—21no—
376C2×#102—21no—
377C2×C22⋊C8C22×C5311yescharacteristic
378C2×C22⋊C8C22×C5311yescharacteristic
379C2×#95—21no—
380C2×#95C22×C5311yescharacteristic
381#340—21no—
382#340—21no—
383#328—22no—
384#327—22no—
385#323—22no—
386C53#840811yescharacteristic, direct product factor, Sylow
387C25D4×C5311yescharacteristic
388C22×Q8D4×C5311yescharacteristic
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C22×D4D4×C5311yescharacteristic
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4D4×C5311yescharacteristic
397C23×C4C23×C5311yescharacteristic
398C22×C8—21no—
399C22×C8—21no—
400#126—24no—
401#126—24no—
402#124—24no—
403#124—24no—
404#123—24no—
405#123—24no—
406C22⋊Q8—21no—
407C22⋊Q8—21no—
408C22⋊Q8C2×C4×C5312yes—
409C22⋊Q8D4×C5312yes—
410#121—24no—
411#121—24no—
412#121—21no—
413#121—21no—
414#121C2×C4×C5312yes—
415#121D4×C5312yes—
416#120—24no—
417#120—24no—
418C4×D4—24no—
419C4×D4—24no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—42no—
425C2×C4⋊C4D4×C5311yescharacteristic
426C2×C4⋊C4D4×C5311yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4C2×C4×C5312yes—
440C2×C22⋊C4D4×C5312yes—
441C2×C42—21no—
442#103—42no—
443#102—42no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8—21no—
448#95—21no—
449#95—21no—
450#95—42no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—41no—
459C24—41no—
460C24—41no—
461C24—41no—
462C24C22⋊C4×C5312yes—
463C24C2×D4×C5311yescharacteristic
464C2×Q8—21no—
465C2×Q8—41no—
466C2×Q8—41no—
467C2×Q8C22⋊C4×C5312yescomplemented
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—41no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—81no—
482C2×D4—81no—
483C2×D4C22⋊C4×C5312yescomplemented
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C22⋊C4×C5312yes—
511C22×C4C22×C4×C5311yescharacteristic
512C22×C4C2×D4×C5311yescharacteristic
513C22×C4C2×D4×C5311yescharacteristic
514C22×C4C2×D4×C5311yescharacteristic
515C22×C4C2×D4×C5311yescharacteristic
516C22×C4C2×D4×C5311yescharacteristic
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4C22⋊C4×C5312yescomplemented
533C4⋊C4C22⋊C4×C5312yescomplemented
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—48no—
546C42—24no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—81no—
576C23—81no—
577C23—81no—
578C23—81no—
579C23—81no—
580C23—81no—
581C23C2×C22⋊C4×C5311yescharacteristic
582C23#120×C5311yescharacteristic
583C23#120×C5311yescharacteristic
584C23#135×C5311yescharacteristic
585C23#135×C5311yescharacteristic
586C23AGL(1,ℤ/8)×C5311yescharacteristic
587C23#137×C5311yescharacteristic
588Q8—42no—
589Q8—81no—
590D4—42no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—42no—
595D4—81no—
596D4—84no—
597D4—84no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—81no—
626C2×C4—84no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4C2×C22⋊C4×C5311yescharacteristic
636C2×C4C2×C22⋊C4×C5311yescharacteristic
637C2×C4#120×C5311yescharacteristic
638C2×C4#120×C5311yescharacteristic
639C8—81no—
640C8—81no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—44no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22C53×#37911yescharacteristic
672C22C53×#41611yescharacteristic
673C22C53×#41711yescharacteristic
674C22C53×#44911yescharacteristic
675C22C53×#44911yescharacteristic
676C22C53×#45211yescharacteristic
677C22C53×#45211yescharacteristic
678C22C53×#45311yescharacteristic
679C22C53×#45511yescharacteristic
680C22C53×B(4,𝔽2)11yescharacteristic
681C22C53×#45811yescharacteristic
682C4—21no—
683C4—21no—
684C4—21no—
685C4—21no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—82no—
691C4—82no—
692C2—21no—
693C2—21no—
694C2—21no—
695C2—21no—
696C2—82no—
697C2—82no—
698C2C53×#160011yescharacteristic
699C2C53×#160611yescharacteristic
700C2C53×#161211yescharacteristic
701C2C53×#161811yescharacteristic
702C2C53×#178811yescharacteristic
703C2C53×#179011yescharacteristic
704C2C53×#179211yescharacteristic
subgroupG/H
center, socleC23×C53#120
commutatorC22×C4C22×C4×C53
Frattini, cosocleC23×C4C23×C53
prime radicalC2×C53×#538C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23×C53 ◁ C23×C4×C53 ◁ G

Complements

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

NH ≅ G/Ntype
2. C53×#1874C2semidirect
3. C53×#1872C2semidirect
4. C2×C53×#328C2semidirect
5. C2×C53×#327C2semidirect
6. C2×C53×#323C2semidirect
7. C53×#1439C2semidirect
11. C53×#538C4semidirect
114. C2×Q8×C53C22⋊C4semidirect
130. C2×D4×C53C22⋊C4semidirect
179. C4⋊C4×C53C22⋊C4semidirect
180. C4⋊C4×C53C22⋊C4semidirect
288. #8408C53direct (N × H)
341. #1874C2×C53semidirect
342. #1872C2×C53semidirect
343. C2×#328C2×C53semidirect
344. C2×#327C2×C53semidirect
345. C2×#323C2×C53semidirect
346. #1439C2×C53semidirect
363. #538C4×C53semidirect
386. C53#8408direct (N × H)
467. C2×Q8C22⋊C4×C53semidirect
483. C2×D4C22⋊C4×C53semidirect
532. C4⋊C4C22⋊C4×C53semidirect
533. C4⋊C4C22⋊C4×C53semidirect

Maximal subgroups

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

subgroupindex
C2×C53×#5382
C53×#18742
C53×#18722
C2×C53×#3282
C2×C53×#3272
C2×C53×#3232
C53×#14392
#840853