Finite Group Databasebeta

← C53×#14624 #27222136

Subgroups — C53×#14624 #27222136

Order 13568.

1586 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C53×#394C211yesmaximal, characteristic
2C2×C53×#390C211yesmaximal, characteristic
3C2×C53×#387C211yesmaximal, characteristic, complemented
4C53×#1444C211yesmaximal, characteristic, complemented
5C53×#1441C211yesmaximal, characteristic, complemented
6C53×#1440C212yesmaximal, complemented
7C53×#1439C212yesmaximal, complemented
8C53×#1439C212yesmaximal, complemented
9C53×#1439C212yesmaximal, complemented
10C53×#1438C211yesmaximal, characteristic
11C53×#1434C211yesmaximal, characteristic, complemented
12C23×D4×C53C2211yescharacteristic
13C22×C4⋊C4×C53C2211yescharacteristic
14C22×C4⋊C4×C53C2211yescharacteristic
15C22×C4⋊C4×C53C2211yescharacteristic
16C22×C4⋊C4×C53C2212yes—
17C22×C22⋊C4×C53C2212yes—
18C22×C22⋊C4×C53C2212yes—
19C22×C22⋊C4×C53C2212yes—
20C22×C22⋊C4×C53C2212yes—
21C22×C22⋊C4×C53C2212yes—
22C22×C22⋊C4×C53C2212yes—
23C22×C42×C53C2211yescharacteristic
24C53×#394C418yescomplemented
25C53×#390—24no—
26C53×#387—24no—
27C2×#95×C53C2211yescharacteristic
28C2×#95×C53C2211yescharacteristic
29C2×#95×C53C2211yescharacteristic
30C2×#95×C53C2211yescharacteristic
31C2×#95×C53C2211yescharacteristic
32C2×#95×C53C2212yes—
33C2×#95×C53C2212yes—
34C2×#95×C53C2212yes—
35C2×#95×C53C2212yes—
36C2×#95×C53C2212yes—
37C2×#95×C53C2211yescharacteristic
38C25×C53C2312yes—
39C22×D4×C53—22no—
40C22×D4×C53—22no—
41C22×D4×C53—42no—
42C22×D4×C53—42no—
43C22×D4×C53C2×C414yes—
44C23×C4×C53C2311yescharacteristic
45C23×C4×C53C2312yes—
46C23×C4×C53C2311yescharacteristic
47C23×C4×C53C2312yes—
48C23×C4×C53C2311yescharacteristic
49C23×C4×C53C2311yescharacteristic
50C23×C4×C53C2312yes—
51C23×C4×C53C2311yescharacteristic
52C23×C4×C53C2311yescharacteristic
53C23×C4×C53C2311yescharacteristic
54C2×C4⋊C4×C53—22no—
55C2×C4⋊C4×C53—22no—
56C2×C4⋊C4×C53—22no—
57C2×C4⋊C4×C53—22no—
58C2×C4⋊C4×C53—42no—
59C2×C4⋊C4×C53—42no—
60C2×C4⋊C4×C53—42no—
61C2×C4⋊C4×C53—42no—
62C2×C4⋊C4×C53—42no—
63C2×C4⋊C4×C53C2×C414yes—
64C2×C22⋊C4×C53—24no—
65C2×C22⋊C4×C53—24no—
66C2×C22⋊C4×C53—42no—
67C2×C22⋊C4×C53—42no—
68C2×C22⋊C4×C53—42no—
69C2×C22⋊C4×C53—42no—
70C2×C22⋊C4×C53—42no—
71C2×C22⋊C4×C53—42no—
72C2×C22⋊C4×C53—42no—
73C2×C22⋊C4×C53—42no—
74C2×C22⋊C4×C53—42no—
75C2×C22⋊C4×C53—42no—
76C2×C22⋊C4×C53—42no—
77C2×C22⋊C4×C53—42no—
78C2×C22⋊C4×C53—42no—
79C2×C22⋊C4×C53—42no—
80C2×C22⋊C4×C53C2×C418yes—
81C2×C22⋊C4×C53C2×C418yes—
82C2×C42×C53—42no—
83C2×C42×C53D414yes—
84#95×C53—22no—
85#95×C53—22no—
86#95×C53—22no—
87#95×C53—22no—
88#95×C53—22no—
89#95×C53—42no—
90#95×C53—42no—
91#95×C53—42no—
92#95×C53—42no—
93#95×C53—42no—
94#95×C53C2×C414yes—
95C24×C53—22no—
96C24×C53—22no—
97C24×C53—22no—
98C24×C53—22no—
99C24×C53—22no—
100C24×C53—22no—
101C24×C53—22no—
102C24×C53—22no—
103C24×C53—22no—
104C24×C53—22no—
105C24×C53—22no—
106C24×C53—22no—
107C24×C53—22no—
108C24×C53—22no—
109C24×C53C22×C414yes—
110C24×C53C2411yescharacteristic
111C2×D4×C53—28no—
112C2×D4×C53—48no—
113C2×D4×C53—44no—
114C2×D4×C53—44no—
115C2×D4×C53—48no—
116C22×C4×C53—22no—
117C22×C4×C53—22no—
118C22×C4×C53—21no—
119C22×C4×C53—21no—
120C22×C4×C53—21no—
121C22×C4×C53—21no—
122C22×C4×C53—21no—
123C22×C4×C53—21no—
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—21no—
131C22×C4×C53—21no—
132C22×C4×C53—22no—
133C22×C4×C53—21no—
134C22×C4×C53—21no—
135C22×C4×C53—22no—
136C22×C4×C53—22no—
137C22×C4×C53—22no—
138C22×C4×C53—21no—
139C22×C4×C53—22no—
140C22×C4×C53—22no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—22no—
145C22×C4×C53—22no—
146C22×C4×C53—22no—
147C22×C4×C53—22no—
148C22×C4×C53—22no—
149C22×C4×C53—22no—
150C22×C4×C53—22no—
151C22×C4×C53—22no—
152C22×C4×C53—22no—
153C22×C4×C53—22no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53—22no—
157C22×C4×C53—22no—
158C22×C4×C53—22no—
159C22×C4×C53—22no—
160C22×C4×C53—22no—
161C22×C4×C53—22no—
162C22×C4×C53—21no—
163C22×C4×C53—22no—
164C22×C4×C53—21no—
165C22×C4×C53—22no—
166C22×C4×C53C22×C414yes—
167C22×C4×C53C22×C412yes—
168C22×C4×C53C22×C412yes—
169C22×C4×C53C22×C412yes—
170C22×C4×C53C2×D412yes—
171C22×C4×C53C2×D412yes—
172C22×C4×C53C2×D412yes—
173C22×C4×C53#4112yes—
174C4⋊C4×C53—28no—
175C4⋊C4×C53—44no—
176C4⋊C4×C53—44no—
177C4⋊C4×C53—48no—
178C22⋊C4×C53—48no—
179C22⋊C4×C53—48no—
180C22⋊C4×C53—48no—
181C22⋊C4×C53—48no—
182C22⋊C4×C53—48no—
183C22⋊C4×C53—48no—
184C42×C53—44no—
185C23×C53—24no—
186C23×C53—24no—
187C23×C53—24no—
188C23×C53—24no—
189C23×C53—24no—
190C23×C53—24no—
191C23×C53—24no—
192C23×C53—42no—
193C23×C53—42no—
194C23×C53—42no—
195C23×C53—42no—
196C23×C53—42no—
197C23×C53—42no—
198C23×C53—42no—
199C23×C53—42no—
200C23×C53—42no—
201C23×C53—42no—
202C23×C53—42no—
203C23×C53—42no—
204C23×C53—42no—
205C23×C53—42no—
206C23×C53—42no—
207C23×C53—42no—
208C23×C53—42no—
209C23×C53—42no—
210C23×C53—42no—
211C23×C53—42no—
212C23×C53—42no—
213C23×C53—42no—
214C23×C53—42no—
215C23×C53—42no—
216C23×C53—42no—
217C23×C53—42no—
218C23×C53—42no—
219C23×C53—42no—
220C23×C53C23×C411yescharacteristic
221C23×C53C22×D411yescharacteristic
222C23×C53C2×#4111yescharacteristic
223C23×C53H(5,𝔽2)12yes—
224C23×C53H(5,𝔽2)12yes—
225C23×C53H(5,𝔽2)11yescharacteristic
226C23×C53H(5,𝔽2)11yescharacteristic
227C23×C53H(5,𝔽2)11yescharacteristic
228C23×C53H(5,𝔽2)12yes—
229C23×C532−1+412yes—
230C23×C532−1+411yescharacteristic
231D4×C53—416no—
232C2×C4×C53—24no—
233C2×C4×C53—22no—
234C2×C4×C53—22no—
235C2×C4×C53—24no—
236C2×C4×C53—22no—
237C2×C4×C53—22no—
238C2×C4×C53—24no—
239C2×C4×C53—24no—
240C2×C4×C53—24no—
241C2×C4×C53—22no—
242C2×C4×C53—22no—
243C2×C4×C53—24no—
244C2×C4×C53—22no—
245C2×C4×C53—22no—
246C2×C4×C53—22no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—41no—
251C2×C4×C53—41no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53—42no—
255C2×C4×C53—41no—
256C2×C4×C53—41no—
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—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—42no—
271C2×C4×C53—42no—
272C2×C4×C53—42no—
273C2×C4×C53—41no—
274C2×C4×C53—42no—
275C2×C4×C53—42no—
276C2×C4×C53—42no—
277C2×C4×C53—42no—
278C2×C4×C53—42no—
279C2×C4×C53—42no—
280C2×C4×C53—42no—
281C2×C4×C53—42no—
282C2×C4×C53—42no—
283C2×C4×C53—42no—
284C2×C4×C53—42no—
285C2×C4×C53—42no—
286C2×C4×C53—42no—
287C2×C4×C53—42no—
288C2×C4×C53—42no—
289C2×C4×C53C4×D414yes—
290#14624C5311yesmaximal, characteristic, direct product factor, Sylow
291C22×C53—44no—
292C22×C53—44no—
293C22×C53—44no—
294C22×C53—44no—
295C22×C53—44no—
296C22×C53—44no—
297C22×C53—44no—
298C22×C53—82no—
299C22×C53—82no—
300C22×C53—82no—
301C22×C53—82no—
302C22×C53—82no—
303C22×C53—82no—
304C22×C53—82no—
305C22×C53—82no—
306C22×C53C2×C4×D411yescharacteristic
307C22×C53#51812yes—
308C22×C53#51811yescharacteristic
309C22×C53#52011yescharacteristic
310C22×C53#52012yes—
311C22×C53#53411yescharacteristic
312C22×C53#53511yescharacteristic
313C22×C53#53511yescharacteristic
314C22×C53#53511yescharacteristic
315C22×C53#53611yescharacteristic
316C22×C53#53711yescharacteristic
317C22×C53#53812yes—
318C22×C53#54011yescharacteristic
319C22×C53#54212yes—
320C22×C53#54211yescharacteristic
321C22×C53#56012yes—
322C22×C53#56012yes—
323C22×C53#56012yes—
324C22×C53#56212yes—
325C22×C53#56212yes—
326C22×C53#56212yes—
327C22×C53#56212yes—
328C22×C53#56312yes—
329C4×C53—24no—
330C4×C53—42no—
331C4×C53—42no—
332C4×C53—42no—
333C4×C53—44no—
334C4×C53—42no—
335C4×C53—81no—
336C4×C53—82no—
337C4×C53—82no—
338C4×C53—81no—
339C2×#394C2×C5311yescharacteristic
340C2×#390C2×C5311yescharacteristic
341C2×#387C2×C5311yescharacteristic, complemented
342#1444C2×C5311yescharacteristic, complemented
343#1441C2×C5311yescharacteristic, complemented
344#1440C2×C5312yescomplemented
345#1439C2×C5312yescomplemented
346#1439C2×C5312yescomplemented
347#1439C2×C5312yescomplemented
348#1438C2×C5311yescharacteristic
349#1434C2×C5311yescharacteristic, complemented
350C2×C53—84no—
351C2×C53#232111yescharacteristic
352C2×C53#232411yescharacteristic
353C2×C53#232611yescharacteristic
354C2×C53#237612yes—
355C2×C53#237712yes—
356C2×C53#281311yescharacteristic
357C2×C53#281611yescharacteristic
358C2×C53#281811yescharacteristic
359C2×C53#282011yescharacteristic
360C2×C53#282912yes—
361C2×C53#283012yes—
362C23×D4C22×C5311yescharacteristic
363C22×C4⋊C4C22×C5311yescharacteristic
364C22×C4⋊C4C22×C5311yescharacteristic
365C22×C4⋊C4C22×C5311yescharacteristic
366C22×C4⋊C4C22×C5312yes—
367C22×C22⋊C4C22×C5312yes—
368C22×C22⋊C4C22×C5312yes—
369C22×C22⋊C4C22×C5312yes—
370C22×C22⋊C4C22×C5312yes—
371C22×C22⋊C4C22×C5312yes—
372C22×C22⋊C4C22×C5312yes—
373C22×C42C22×C5311yescharacteristic
374#394C4×C5318yescomplemented
375#390—24no—
376#387—24no—
377C2×#95C22×C5311yescharacteristic
378C2×#95C22×C5311yescharacteristic
379C2×#95C22×C5311yescharacteristic
380C2×#95C22×C5311yescharacteristic
381C2×#95C22×C5311yescharacteristic
382C2×#95C22×C5312yes—
383C2×#95C22×C5312yes—
384C2×#95C22×C5312yes—
385C2×#95C22×C5312yes—
386C2×#95C22×C5312yes—
387C2×#95C22×C5311yescharacteristic
388C53#1462411yescharacteristic, direct product factor, Sylow
389C25C23×C5312yes—
390C22×D4—22no—
391C22×D4—22no—
392C22×D4—42no—
393C22×D4—42no—
394C22×D4C2×C4×C5314yes—
395C23×C4C23×C5311yescharacteristic
396C23×C4C23×C5312yes—
397C23×C4C23×C5311yescharacteristic
398C23×C4C23×C5312yes—
399C23×C4C23×C5311yescharacteristic
400C23×C4C23×C5311yescharacteristic
401C23×C4C23×C5312yes—
402C23×C4C23×C5311yescharacteristic
403C23×C4C23×C5311yescharacteristic
404C23×C4C23×C5311yescharacteristic
405C2×C4⋊C4—22no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—42no—
410C2×C4⋊C4—42no—
411C2×C4⋊C4—42no—
412C2×C4⋊C4—42no—
413C2×C4⋊C4—42no—
414C2×C4⋊C4C2×C4×C5314yes—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—42no—
418C2×C22⋊C4—42no—
419C2×C22⋊C4—42no—
420C2×C22⋊C4—42no—
421C2×C22⋊C4—42no—
422C2×C22⋊C4—42no—
423C2×C22⋊C4—42no—
424C2×C22⋊C4—42no—
425C2×C22⋊C4—42no—
426C2×C22⋊C4—42no—
427C2×C22⋊C4—42no—
428C2×C22⋊C4—42no—
429C2×C22⋊C4—42no—
430C2×C22⋊C4—42no—
431C2×C22⋊C4C2×C4×C5318yes—
432C2×C22⋊C4C2×C4×C5318yes—
433C2×C42—42no—
434C2×C42D4×C5314yes—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—42no—
441#95—42no—
442#95—42no—
443#95—42no—
444#95—42no—
445#95C2×C4×C5314yes—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24C22×C4×C5314yes—
461C24C24×C5311yescharacteristic
462C2×D4—28no—
463C2×D4—48no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—48no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
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—22no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4C22×C4×C5314yes—
518C22×C4C22×C4×C5312yes—
519C22×C4C22×C4×C5312yes—
520C22×C4C22×C4×C5312yes—
521C22×C4C2×D4×C5312yes—
522C22×C4C2×D4×C5312yes—
523C22×C4C2×D4×C5312yes—
524C22×C4#41×C5312yes—
525C4⋊C4—28no—
526C4⋊C4—44no—
527C4⋊C4—44no—
528C4⋊C4—48no—
529C22⋊C4—48no—
530C22⋊C4—48no—
531C22⋊C4—48no—
532C22⋊C4—48no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C42—44no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23C23×C4×C5311yescharacteristic
572C23C22×D4×C5311yescharacteristic
573C23C2×#41×C5311yescharacteristic
574C23H(5,𝔽2)×C5312yes—
575C23H(5,𝔽2)×C5312yes—
576C23H(5,𝔽2)×C5311yescharacteristic
577C23H(5,𝔽2)×C5311yescharacteristic
578C23H(5,𝔽2)×C5311yescharacteristic
579C23H(5,𝔽2)×C5312yes—
580C232−1+4×C5312yes—
581C232−1+4×C5311yescharacteristic
582D4—416no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4C4×D4×C5314yes—
641C22—44no—
642C22—44no—
643C22—44no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—82no—
649C22—82no—
650C22—82no—
651C22—82no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22C2×C4×D4×C5311yescharacteristic
657C22C53×#51812yes—
658C22C53×#51811yescharacteristic
659C22C53×#52011yescharacteristic
660C22C53×#52012yes—
661C22C53×#53411yescharacteristic
662C22C53×#53511yescharacteristic
663C22C53×#53511yescharacteristic
664C22C53×#53511yescharacteristic
665C22C53×#53611yescharacteristic
666C22C53×#53711yescharacteristic
667C22C53×#53812yes—
668C22C53×#54011yescharacteristic
669C22C53×#54212yes—
670C22C53×#54211yescharacteristic
671C22C53×#56012yes—
672C22C53×#56012yes—
673C22C53×#56012yes—
674C22C53×#56212yes—
675C22C53×#56212yes—
676C22C53×#56212yes—
677C22C53×#56212yes—
678C22C53×#56312yes—
679C4—24no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—44no—
685C4—81no—
686C4—82no—
687C4—81no—
688C4—82no—
689C2—84no—
690C2C53×#232111yescharacteristic
691C2C53×#232411yescharacteristic
692C2C53×#232611yescharacteristic
693C2C53×#237612yes—
694C2C53×#237712yes—
695C2C53×#281311yescharacteristic
696C2C53×#281611yescharacteristic
697C2C53×#281811yescharacteristic
698C2C53×#282011yescharacteristic
699C2C53×#282912yes—
700C2C53×#283012yes—
subgroupG/H
center, socleC24×C53C24
commutatorC23C23×C4×C53
Frattini, cosocleC24C24×C53
prime radicalC23×D4×C53C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C53 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C53×#387C2semidirect
4. C53×#1444C2semidirect
5. C53×#1441C2semidirect
6. C53×#1440C2semidirect
7. C53×#1439C2semidirect
8. C53×#1439C2semidirect
9. C53×#1439C2semidirect
11. C53×#1434C2semidirect
24. C53×#394C4semidirect
290. #14624C53direct (N × H)
341. C2×#387C2×C53semidirect
342. #1444C2×C53semidirect
343. #1441C2×C53semidirect
344. #1440C2×C53semidirect
345. #1439C2×C53semidirect
346. #1439C2×C53semidirect
347. #1439C2×C53semidirect
349. #1434C2×C53semidirect
374. #394C4×C53semidirect
388. C53#14624direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C53×#3942
C2×C53×#3902
C2×C53×#3872
C53×#14442
C53×#14412
C53×#14402
C53×#14392
C53×#14382
C53×#14342
#1462453