Finite Group Databasebeta

← #27310685

Subgroups — #27310685

Order 13568.

2086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13133194C211yesmaximal, characteristic
2C2×#16810481C211yesmaximal, characteristic
3C22×#13133124C211yesmaximal, characteristic
4#20272985C212yesmaximal, complemented
5#20272981C212yesmaximal, complemented
6#20272967C212yesmaximal, complemented
7#20272966C212yesmaximal, complemented
8#20272938C211yesmaximal, characteristic
9#20272937C211yesmaximal, characteristic
10#20272937C211yesmaximal, characteristic
11C53×C22⋊#95C211yesmaximal, characteristic
12C23×Dic106C2211yescharacteristic
13C24×Dic53C2211yescharacteristic
14C24×Dic53C2211yescharacteristic
15C2×#13133194—24no—
16C2×#13133194—24no—
17C2×#13133194C418yescomplemented
18C22×C4⋊Dic53C2211yescharacteristic
19C22×#11719919C2211yescharacteristic
20C22×#11719919C2211yescharacteristic
21C22×#11719919C2212yes—
22C22×C22⋊Dic53C2211yescharacteristic
23C22×C22⋊Dic53C2211yescharacteristic
24#16810481—24no—
25C2×#13133124—24no—
26C2×#13133124C2212yes—
27C2×#13133124C2212yes—
28C2×#13133124C2212yes—
29C2×#13133124C2212yes—
30C2×#13133124C2212yes—
31C2×#13133124C2212yes—
32C2×#13133124C2212yes—
33C2×#13133124C2212yes—
34C2×#13133124C2212yes—
35C24×C4×C53C2211yescharacteristic
36C22×C22⋊C4×C53C2211yescharacteristic
37C22×C22⋊C4×C53C2211yescharacteristic
38C2×#95×C53C2212yes—
39C2×#95×C53C2212yes—
40C22×Dic106—22no—
41C22×Dic106—22no—
42C22×Dic106—42no—
43C22×Dic106—42no—
44C22×Dic106C2×C414yescomplemented
45C23×Dic53—22no—
46C23×Dic53—22no—
47C23×Dic53—42no—
48C23×Dic53—42no—
49C23×Dic53—42no—
50C23×Dic53—42no—
51C23×Dic53C2×C414yes—
52C23×Dic53D414yes—
53C23×Dic53D414yes—
54C23×Dic53Q814yescomplemented
55C23×Dic53C2312yes—
56C23×Dic53C2311yescharacteristic
57C23×Dic53C2311yescharacteristic
58C23×Dic53C2312yes—
59C23×Dic53C2311yescharacteristic
60C23×Dic53C2311yescharacteristic
61#13133194—232no—
62C2×C4⋊Dic53—22no—
63C2×C4⋊Dic53—22no—
64C2×C4⋊Dic53C2×C414yescomplemented
65C2×#11719919—22no—
66C2×#11719919—22no—
67C2×#11719919—22no—
68C2×#11719919—22no—
69C2×#11719919—24no—
70C2×#11719919—42no—
71C2×#11719919—42no—
72C2×#11719919C2×C414yescomplemented
73C2×#11719919C2×C414yescomplemented
74C2×C22⋊Dic53—22no—
75C2×C22⋊Dic53—22no—
76C2×C22⋊Dic53—22no—
77C2×C22⋊Dic53—22no—
78C2×C22⋊Dic53—22no—
79C2×C22⋊Dic53C2×C414yes—
80#13133124—24no—
81#13133124—24no—
82#13133124—24no—
83#13133124—42no—
84#13133124—42no—
85#13133124—42no—
86#13133124—42no—
87#13133124—42no—
88#13133124—42no—
89C25×C53C2311yescharacteristic
90C23×C4×C53—22no—
91C23×C4×C53—22no—
92C23×C4×C53—42no—
93C23×C4×C53—42no—
94C23×C4×C53Q814yescomplemented
95C23×C4×C53C2312yes—
96C23×C4×C53C2311yescharacteristic
97C23×C4×C53C2311yescharacteristic
98C23×C4×C53C2312yes—
99C2×C22⋊C4×C53—22no—
100C2×C22⋊C4×C53—22no—
101C2×C22⋊C4×C53—22no—
102C2×C22⋊C4×C53—22no—
103C2×C22⋊C4×C53—22no—
104C2×C22⋊C4×C53C2×C414yes—
105#95×C53—42no—
106#95×C53—42no—
107C24×C53—22no—
108C24×C53—22no—
109C24×C53—22no—
110C24×C53—22no—
111C24×C53C22×C412yes—
112C24×C53C2×D412yes—
113C24×C53C2×D412yes—
114C24×C53C2×Q812yes—
115C24×C53C2×Q812yes—
116C24×C53#4112yes—
117C24×C53#4112yes—
118C24×C53C2411yescharacteristic
119C22×C4×C53—28no—
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—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—48no—
142C22×C4×C53—44no—
143C22×C4×C53—44no—
144C22×C4×C53—48no—
145C22×C4×C53C22×C412yes—
146C22×C4×C53C22×C412yes—
147C22×C4×C53C2×Q814yes—
148C22×Dic53—22no—
149C22×Dic53—22no—
150C22×Dic53—22no—
151C22×Dic53—22no—
152C22×Dic53—28no—
153C22×Dic53—22no—
154C22×Dic53—21no—
155C22×Dic53—21no—
156C22×Dic53—21no—
157C22×Dic53—21no—
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×Dic53—22no—
174C22×Dic53—48no—
175C22×Dic53—44no—
176C22×Dic53—44no—
177C22×Dic53—48no—
178C22×Dic53—48no—
179C22×Dic53—44no—
180C22×Dic53—44no—
181C22×Dic53—48no—
182C22×Dic53C22⋊C4116yes—
183C22×Dic53C22×C412yes—
184C22×Dic53C22×C412yes—
185C22×Dic53C22×C412yes—
186C22×Dic53C22×C412yes—
187C22×Dic53C2×D412yes—
188C22×Dic53C2×D412yes—
189C22×Dic53C2×D412yes—
190C22×Dic53C2×D412yes—
191C22×Dic53C2×Q814yes—
192C2×Dic106—28no—
193C2×Dic106—48no—
194C2×Dic106—48no—
195C2×Dic106—44no—
196C2×Dic106—44no—
197C22⋊C4×C53—28no—
198C22⋊C4×C53—44no—
199C22⋊Dic53—28no—
200C22⋊Dic53—44no—
201C4⋊Dic53—28no—
202#11719919—28no—
203#11719919—28no—
204#11719919—48no—
205C23×C53—24no—
206C23×C53—24no—
207C23×C53—22no—
208C23×C53—22no—
209C23×C53—24no—
210C23×C53—22no—
211C23×C53—22no—
212C23×C53—24no—
213C23×C53—24no—
214C23×C53—24no—
215C23×C53—24no—
216C23×C53—24no—
217C23×C53—24no—
218C23×C53—24no—
219C23×C53—24no—
220C23×C53—24no—
221C23×C53C2×C22⋊C414yes—
222C23×C53C4×Q814yes—
223C23×C53C4×Q814yes—
224C23×C53C22⋊Q814yes—
225C23×C53C22⋊Q814yes—
226C23×C53#12414yes—
227C23×C53C4⋊Q814yes—
228C23×C53C23×C411yescharacteristic
229C23×C53C22×D411yescharacteristic
230C23×C53C22×D411yescharacteristic
231C23×C53C22×Q811yescharacteristic
232C23×C53C22×Q811yescharacteristic
233C23×C53C2×#4111yescharacteristic
234C23×C53C2×#4111yescharacteristic
235C23×C53H(5,𝔽2)12yes—
236C23×C53H(5,𝔽2)12yes—
237C23×C53H(5,𝔽2)12yes—
238C23×C532−1+412yes—
239C2×C4×C53—22no—
240C2×C4×C53—22no—
241C2×C4×C53—24no—
242C2×C4×C53—24no—
243C2×C4×C53—24no—
244C2×C4×C53—24no—
245C2×C4×C53—24no—
246C2×C4×C53—416no—
247C2×C4×C53—42no—
248C2×C4×C53—41no—
249C2×C4×C53—41no—
250C2×C4×C53—42no—
251C2×C4×C53—41no—
252C2×C4×C53—42no—
253C2×C4×C53—41no—
254C2×C4×C53—42no—
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×Dic53—24no—
265C2×Dic53—24no—
266C2×Dic53—24no—
267C2×Dic53—22no—
268C2×Dic53—22no—
269C2×Dic53—22no—
270C2×Dic53—22no—
271C2×Dic53—24no—
272C2×Dic53—22no—
273C2×Dic53—22no—
274C2×Dic53—24no—
275C2×Dic53—24no—
276C2×Dic53—24no—
277C2×Dic53—24no—
278C2×Dic53—24no—
279C2×Dic53—416no—
280C2×Dic53—416no—
281C2×Dic53—42no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—42no—
285C2×Dic53—41no—
286C2×Dic53—42no—
287C2×Dic53—41no—
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×Dic53C2×C22⋊C414yes—
299C2×Dic53C2×C22⋊C414yes—
300Dic106—416no—
301#14281—531nomaximal, Sylow
302C22×C53—24no—
303C22×C53—24no—
304C22×C53—28no—
305C22×C53—28no—
306C22×C53—24no—
307C22×C53—24no—
308C22×C53—24no—
309C22×C53—24no—
310C22×C53—28no—
311C22×C53—28no—
312C22×C53#39118yes—
313C22×C53C22×C22⋊C411yescharacteristic
314C22×C53C2×C4×Q811yescharacteristic
315C22×C53C2×C4×Q811yescharacteristic
316C22×C53#51812yes—
317C22×C53#52012yes—
318C22×C53C2×C22⋊Q811yescharacteristic
319C22×C53C2×C22⋊Q811yescharacteristic
320C22×C53C2×#12411yescharacteristic
321C22×C53C2×C4⋊Q811yescharacteristic
322C22×C53#53412yes—
323C22×C53#53411yescharacteristic
324C22×C53#53411yescharacteristic
325C22×C53#53511yescharacteristic
326C22×C53#53611yescharacteristic
327C22×C53#53712yes—
328C22×C53#53812yes—
329C22×C53#53812yes—
330C22×C53#53912yes—
331C22×C53#53912yes—
332C22×C53#54312yes—
333C22×C53#54312yes—
334C22×C53#54412yes—
335C22×C53#54412yes—
336C4×C53—42no—
337C4×C53—42no—
338C4×C53—44no—
339C4×C53—82no—
340Dic53—24no—
341Dic53—24no—
342Dic53—42no—
343Dic53—42no—
344Dic53—44no—
345Dic53—82no—
346C22×C22⋊Q8—531no—
347C2×#380—531no—
348C22×#95—531no—
349#1446—532no—
350#1445—532no—
351#1441—532no—
352#1441—532no—
353C22⋊#95—531no—
354C22⋊#95—531no—
355C22⋊#95—531no—
356C22⋊#95D5311yescharacteristic
357C2×C53—28no—
358C2×C53C2×#39111yescharacteristic
359C2×C53#230811yescharacteristic
360C2×C53#231111yescharacteristic
361C2×C53#232912yes—
362C2×C53#232912yes—
363C2×C53#262611yescharacteristic
364C2×C53#262611yescharacteristic
365C2×C53#262711yescharacteristic
366C2×C53#262711yescharacteristic
367C2×C53#263912yes—
368C2×C53#265912yes—
369C23×Q8—531no—
370C24×C4—531no—
371C24×C4—531no—
372C24×C4C2×D5311yescharacteristic
373C2×C22⋊Q8—538no—
374C2×C22⋊Q8—1064no—
375C2×C22⋊Q8—1064no—
376C22×C4⋊C4—531no—
377C22×C4⋊C4—531no—
378C22×C4⋊C4—531no—
379C22×C4⋊C4—532no—
380C22×C22⋊C4—531no—
381C22×C22⋊C4—531no—
382C22×C22⋊C4C2×D5311yescharacteristic
383C22×C22⋊C4C2×D5311yescharacteristic
384#380—1064no—
385C2×#95—532no—
386C2×#95—532no—
387C2×#95—532no—
388C2×#95—532no—
389C2×#95—532no—
390C2×#95—532no—
391C2×#95—532no—
392C2×#95—532no—
393C2×#95—532no—
394C2×#95—1064no—
395C2×#95C2×D5312yes—
396C2×#95C2×D5312yes—
397C53#1428111yescharacteristic, complemented, Sylow
398C25C22×D5311yescharacteristic
399C22×Q8—534no—
400C22×Q8—1062no—
401C22×Q8—1062no—
402C22×Q8—2122no—
403C22×Q8—2122no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—42no—
407C23×C4—42no—
408C23×C4—531no—
409C23×C4—531no—
410C23×C4—534no—
411C23×C4—534no—
412C23×C4—534no—
413C23×C4—531no—
414C23×C4—531no—
415C23×C4—532no—
416C23×C4—534no—
417C23×C4—532no—
418C23×C4—1062no—
419C23×C4—1062no—
420C23×C4—2122no—
421C23×C4—2122no—
422C23×C4—2122no—
423C23×C4—2122no—
424C23×C4Dic10614yescomplemented
425C23×C4C22×D5312yes—
426C23×C4C22×D5312yes—
427C23×C4C22×D5311yescharacteristic
428C23×C4C22×D5311yescharacteristic
429C22⋊Q8—10632no—
430C2×C4⋊C4—534no—
431C2×C4⋊C4—534no—
432C2×C4⋊C4—534no—
433C2×C4⋊C4—1062no—
434C2×C4⋊C4—1062no—
435C2×C4⋊C4—1062no—
436C2×C4⋊C4—1062no—
437C2×C4⋊C4—1062no—
438C2×C4⋊C4—1062no—
439C2×C4⋊C4—1064no—
440C2×C4⋊C4—2122no—
441C2×C4⋊C4—2122no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—534no—
448C2×C22⋊C4—1062no—
449C2×C22⋊C4—1062no—
450C2×C22⋊C4—1062no—
451C2×C22⋊C4—1062no—
452C2×C22⋊C4—1062no—
453C2×C22⋊C4C4×D5314yes—
454#95—42no—
455#95—42no—
456#95—1064no—
457#95—1064no—
458#95—1064no—
459#95—2122no—
460#95—2122no—
461#95—2122no—
462#95—2122no—
463#95—2122no—
464#95—2122no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24C2×Dic10612yes—
470C24C2×C4×D5312yes—
471C24#1171994512yes—
472C24D4×D5312yes—
473C24D4×D5312yes—
474C24#1171994712yes—
475C24Q8×D5312yes—
476C24C23×D5311yescharacteristic
477C2×Q8—1068no—
478C2×Q8—2128no—
479C2×Q8—2128no—
480C2×Q8—2124no—
481C2×Q8—2124no—
482C22×C4—28no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
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—48no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—48no—
508C22×C4—532no—
509C22×C4—532no—
510C22×C4—532no—
511C22×C4—532no—
512C22×C4—532no—
513C22×C4—532no—
514C22×C4—5316no—
515C22×C4—532no—
516C22×C4—532no—
517C22×C4—534no—
518C22×C4—1062no—
519C22×C4—1062no—
520C22×C4—1062no—
521C22×C4—1062no—
522C22×C4—1068no—
523C22×C4—1062no—
524C22×C4—1061no—
525C22×C4—1061no—
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—2124no—
550C22×C4—2124no—
551C22×C4—2128no—
552C22×C4C2×Dic10614yes—
553C22×C4C2×C4×D5312yes—
554C22×C4C2×C4×D5312yes—
555C4⋊C4—1068no—
556C4⋊C4—1068no—
557C4⋊C4—1068no—
558C4⋊C4—2128no—
559C22⋊C4—28no—
560C22⋊C4—44no—
561C22⋊C4—1068no—
562C22⋊C4—2124no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23C22⋊C4×D5314yes—
580C23#1313318214yes—
581C23C4×Dic10614yes—
582C23#1313319414yes—
583C23#1313319514yes—
584C23#1313320314yes—
585C23#1313321614yes—
586C23C22×C4×D5311yescharacteristic
587C23C2×D4×D5311yescharacteristic
588C23C2×D4×D5311yescharacteristic
589C23C2×Q8×D5311yescharacteristic
590C23C22×Dic10611yescharacteristic
591C23C2×#1171994711yescharacteristic
592C23C2×#1171994511yescharacteristic
593C23#1313326212yes—
594C23#1313326212yes—
595C23#1313326312yes—
596C23#1313326412yes—
597Q8—21216no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—416no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—534no—
624C2×C4—534no—
625C2×C4—1064no—
626C2×C4—1064no—
627C2×C4—1064no—
628C2×C4—1064no—
629C2×C4—1062no—
630C2×C4—1062no—
631C2×C4—1062no—
632C2×C4—1062no—
633C2×C4—1062no—
634C2×C4—1062no—
635C2×C4—1064no—
636C2×C4—1064no—
637C2×C4—1064no—
638C2×C4—1064no—
639C2×C4—1064no—
640C2×C4—21216no—
641C2×C4—2122no—
642C2×C4—2122no—
643C2×C4—2122no—
644C2×C4—2122no—
645C2×C4—2122no—
646C2×C4—2122no—
647C2×C4—2122no—
648C2×C4—21216no—
649C2×C4—2122no—
650C2×C4—2121no—
651C2×C4—2122no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2122no—
655C2×C4—2121no—
656C2×C4—2122no—
657C2×C4—2122no—
658C2×C4—2122no—
659C22—28no—
660C22—24no—
661C22—24no—
662C22—28no—
663C22—28no—
664C22—28no—
665C22—24no—
666C22—24no—
667C22—24no—
668C22—24no—
669C22#1681052718yes—
670C22C2×C22⋊C4×D5311yescharacteristic
671C22C2×#1313318211yescharacteristic
672C22C2×C4×Dic10611yescharacteristic
673C22#1681109512yes—
674C22#1681110212yes—
675C22C2×#1313319411yescharacteristic
676C22C2×#1313319511yescharacteristic
677C22C2×#1313320311yescharacteristic
678C22C2×#1313321611yescharacteristic
679C22#1681118112yes—
680C22#1681118311yescharacteristic
681C22#1681118411yescharacteristic
682C22#1681118811yescharacteristic
683C22#1681119511yescharacteristic
684C22#1681120012yes—
685C22#1681120612yes—
686C22#1681120812yes—
687C22#1681121512yes—
688C22#1681121712yes—
689C22#1681124812yes—
690C22#1681124912yes—
691C22#1681125112yes—
692C22#1681125212yes—
693C4—42no—
694C4—42no—
695C4—44no—
696C4—82no—
697C4—1064no—
698C4—1064no—
699C4—4242no—
700C4—2122no—
701C4—2122no—
702C4—2124no—
703C2—28no—
704C2C2×#1681052711yescharacteristic
705C2#2027728911yescharacteristic
706C2#2027730211yescharacteristic
707C2#2027744312yes—
708C2#2027744612yes—
709C2#2028052411yescharacteristic
710C2#2028052611yescharacteristic
711C2#2028053211yescharacteristic
712C2#2028053411yescharacteristic
713C2#2028064512yes—
714C2#2028083212yes—
subgroupG/H
center, FrattiniC24C23×D53
commutatorC23×C53C23×C4
FittingC53×C22⋊#95C2
socle, cosocleC24×C53C24
prime radicalC25×C53C23
hypercenterC22⋊#95D53
hypocenterC53#14281
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
4. #20272985C2semidirect
5. #20272981C2semidirect
6. #20272967C2semidirect
7. #20272966C2semidirect
17. C2×#13133194C4semidirect
44. C22×Dic106C2×C4semidirect
54. C23×Dic53Q8semidirect
64. C2×C4⋊Dic53C2×C4semidirect
72. C2×#11719919C2×C4semidirect
73. C2×#11719919C2×C4semidirect
94. C23×C4×C53Q8semidirect
397. C53#14281semidirect
424. C23×C4Dic106semidirect

Maximal subgroups

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

subgroupindex
C22×#131331942
C2×#168104812
C22×#131331242
#202729852
#202729812
#202729672
#202729662
#202729382
#202729372
C53×C22⋊#952
#1428153