Finite Group Databasebeta

← #27438491

Subgroups — #27438491

Order 13568.

1024 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811029C211yesmaximal, characteristic, complemented
2C2×#16810977C211yesmaximal, characteristic, complemented
3#20280545C211yesmaximal, characteristic, complemented
4#20275915C211yesmaximal, characteristic, complemented
5#20275908C211yesmaximal, characteristic, complemented
6#20275901C211yesmaximal, characteristic
7#20275894C211yesmaximal, characteristic
8#20275677C211yesmaximal, characteristic, complemented
9#20275532C211yesmaximal, characteristic, complemented
10#20274983C211yesmaximal, characteristic, complemented
11#20274976C211yesmaximal, characteristic, complemented
12#20274969C211yesmaximal, characteristic, complemented
13#20274962C211yesmaximal, characteristic, complemented
14#20274481C211yesmaximal, characteristic, complemented
15C2×C53×#542C211yesmaximal, characteristic
16C2×#13133209C2211yescharacteristic
17#16811029—24no—
18#16810977—24no—
19C2×#13133150C2211yescharacteristic
20C2×#13133150C2211yescharacteristic
21C2×#13133148C2211yescharacteristic
22C2×#13133148C2211yescharacteristic
23C2×#13133141C2211yescharacteristic
24C2×#13133141C2211yescharacteristic
25C2×#13133141C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133138C2211yescharacteristic
28C2×#13133138C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×C22⋊#88322C2211yescharacteristic
32C2×C22⋊#88322C2211yescharacteristic
33C2×#13133128C2211yescharacteristic
34C2×C4×#88322C2211yescharacteristic
35#16810556—21no—
36#16810556—21no—
37#16810546—21no—
38#16810546—21no—
39#16810521C2211yescharacteristic
40#16810521C2211yescharacteristic
41#16810493C2211yescharacteristic
42#16810483C2211yescharacteristic
43#16810483C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C53×#542—24no—
51C53×#542—24no—
52C2×C4⋊Q8×C53C2211yescharacteristic
53C2×#126×C53—21no—
54C2×#124×C53—21no—
55C2×#124×C53C2211yescharacteristic
56C2×#123×C53—21no—
57C2×C22⋊Q8×C53—21no—
58C2×C22⋊Q8×C53C2211yescharacteristic
59C2×#121×C53C2211yescharacteristic
60C2×C4×Q8×C53C2211yescharacteristic
61C2×C4×D4×C53C2211yescharacteristic
62C2×#117×C53C2211yescharacteristic
63C22×#88322C2311yescharacteristic
64C22×#88322C2311yescharacteristic
65C22×#88322C2311yescharacteristic
66C22×#88322C2311yescharacteristic
67#13133209—22no—
68#13133209—22no—
69C2×C4⋊Dic53—21no—
70C2×C4⋊Dic53—21no—
71C2×C4⋊Dic53C2311yescharacteristic
72C2×C4⋊Dic53C2311yescharacteristic
73C2×C4⋊Dic53C2311yescharacteristic
74C2×C4⋊Dic53C2311yescharacteristic
75C2×#11719919—21no—
76C2×#11719919—21no—
77C2×#11719919—21no—
78C2×#11719919—21no—
79C2×C22⋊Dic53—21no—
80C2×C22⋊Dic53—21no—
81#13133150—22no—
82#13133150—22no—
83#13133148—22no—
84#13133148—22no—
85#13133141—22no—
86#13133141—22no—
87#13133141—22no—
88#13133141—22no—
89#13133138—22no—
90#13133138—22no—
91#13133138—22no—
92#13133138—22no—
93C22⋊#88322—22no—
94C22⋊#88322—22no—
95#13133128—22no—
96C4×#88322—22no—
97#13133124—21no—
98#13133124—21no—
99#13133124—21no—
100#13133124—21no—
101C22×Q8×C53—21no—
102C22×Q8×C53C2311yescharacteristic
103C22×D4×C53—21no—
104C22×D4×C53C2311yescharacteristic
105C23×C4×C53—21no—
106C23×C4×C53C2311yescharacteristic
107C4⋊Q8×C53—22no—
108C4⋊Q8×C53D414yes—
109#126×C53—28no—
110#124×C53—28no—
111#124×C53—22no—
112#124×C53D414yes—
113#123×C53—28no—
114C22⋊Q8×C53—28no—
115C22⋊Q8×C53—22no—
116C22⋊Q8×C53—22no—
117#121×C53—22no—
118#121×C53—22no—
119C4×Q8×C53—22no—
120C4×Q8×C53—22no—
121C4×D4×C53—22no—
122C4×D4×C53—22no—
123#117×C53—22no—
124#117×C53—22no—
125C2×C4⋊C4×C53—21no—
126C2×C4⋊C4×C53—21no—
127C2×C4⋊C4×C53—21no—
128C2×C4⋊C4×C53D411yescharacteristic
129C2×C4⋊C4×C53D411yescharacteristic
130C2×C4⋊C4×C53C2311yescharacteristic
131C2×C4⋊C4×C53C2311yescharacteristic
132C2×C22⋊C4×C53—21no—
133C2×C22⋊C4×C53—21no—
134C2×C22⋊C4×C53—21no—
135C2×C22⋊C4×C53—21no—
136C2×C22⋊C4×C53—21no—
137C2×C22⋊C4×C53D411yescharacteristic
138C2×C22⋊C4×C53D411yescharacteristic
139C2×C42×C53—21no—
140C2×C42×C53C2311yescharacteristic
141C2×C42×C53C2311yescharacteristic
142C24×C53—21no—
143C24×C53C2×D411yescharacteristic
144C2×Q8×C53—24no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53—21no—
148C2×Q8×C53—21no—
149C2×Q8×C53—21no—
150C2×Q8×C53—81no—
151C2×Q8×C53—81no—
152C2×Q8×C53C2×D412yes—
153C2×D4×C53—24no—
154C2×D4×C53—21no—
155C2×D4×C53—21no—
156C2×D4×C53—21no—
157C2×D4×C53—21no—
158C2×D4×C53—21no—
159C2×D4×C53—81no—
160C2×D4×C53—81no—
161C2×D4×C53C2×D412yes—
162C22×C4×C53—21no—
163C22×C4×C53—21no—
164C22×C4×C53—21no—
165C22×C4×C53—24no—
166C22×C4×C53—21no—
167C22×C4×C53—21no—
168C22×C4×C53—21no—
169C22×C4×C53—21no—
170C22×C4×C53—21no—
171C22×C4×C53—21no—
172C22×C4×C53—81no—
173C22×C4×C53—81no—
174C22×C4×C53C2×D411yescharacteristic
175C22×C4×C53C2×D411yescharacteristic
176C22×C4×C53C2×D411yescharacteristic
177C22×C4×C53C2×D411yescharacteristic
178C22×C4×C53C2×D411yescharacteristic
179C22×C4×C53C2411yescharacteristic
180C22×Dic53—21no—
181C22×Dic53—21no—
182C22×Dic53—21no—
183C22×Dic53—21no—
184C4⋊C4×C53—24no—
185C4⋊C4×C53—24no—
186C4⋊C4×C53—24no—
187C4⋊C4×C53—22no—
188C4⋊C4×C53—22no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53C2×D412yes—
192C4⋊C4×C53C2×D412yes—
193C22⋊C4×C53—24no—
194C22⋊C4×C53—24no—
195C22⋊C4×C53—24no—
196C22⋊C4×C53—24no—
197C22⋊C4×C53—24no—
198C22⋊C4×C53—22no—
199C22⋊C4×C53—22no—
200C42×C53—24no—
201C42×C53—21no—
202C42×C53—21no—
203C42×C53C2×D412yes—
204C42×C53C2×D412yes—
205C22⋊Dic53—81no—
206C22⋊Dic53—81no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—81no—
216C4⋊Dic53—81no—
217#11719919—42no—
218#11719919—42no—
219#11719919—81no—
220#11719919—81no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322#4112yes—
232C2×#88322#4112yes—
233C23×C53—21no—
234C23×C53—22no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—21no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53—41no—
245C23×C53—41no—
246C23×C53—41no—
247C23×C53C22×D411yescharacteristic
248Q8×C53—22no—
249Q8×C53—22no—
250Q8×C53—41no—
251Q8×C53—41no—
252Q8×C53—84no—
253D4×C53—22no—
254D4×C53—22no—
255D4×C53—41no—
256D4×C53—41no—
257D4×C53—84no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—22no—
264C2×C4×C53—21no—
265C2×C4×C53—22no—
266C2×C4×C53—22no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
270C2×C4×C53—21no—
271C2×C4×C53—21no—
272C2×C4×C53—21no—
273C2×C4×C53—21no—
274C2×C4×C53—41no—
275C2×C4×C53—41no—
276C2×C4×C53—41no—
277C2×C4×C53—41no—
278C2×C4×C53—41no—
279C2×C4×C53—41no—
280C2×C4×C53—41no—
281C2×C4×C53—41no—
282C2×C4×C53—41no—
283C2×C4×C53—41no—
284C2×C4×C53—84no—
285C2×C4×C53#12012yes—
286C2×C4×C53#12012yes—
287C2×C4×C53C22×D411yescharacteristic
288C2×C4×C53C22×D411yescharacteristic
289C2×C4×C53C2×#4111yescharacteristic
290C2×C4×C53C2×#4111yescharacteristic
291C2×C4×C532−1+411yescharacteristic
292C2×C4×C532−1+411yescharacteristic
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53—41no—
303C2×Dic53—41no—
304C2×Dic53—41no—
305#88322—22no—
306#88322—22no—
307#88322—41no—
308#88322—41no—
309#25684—531nomaximal, Sylow
310C22×C53—41no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—42no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53—42no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—42no—
320C22×C53—81no—
321C22×C53—81no—
322C22×C53—81no—
323C22×C53—81no—
324C22×C53C2×#12011yescharacteristic
325C22×C53#53211yescharacteristic
326C22×C53#53611yescharacteristic
327C22×C53#57611yescharacteristic
328C22×C53#57711yescharacteristic
329C22×C53#57711yescharacteristic
330C22×C53#57811yescharacteristic
331C4×C53—22no—
332C4×C53—22no—
333C4×C53—41no—
334C4×C53—42no—
335C4×C53—41no—
336C4×C53—42no—
337C4×C53—42no—
338C4×C53—41no—
339C4×C53#54711yescharacteristic
340C4×C53#54711yescharacteristic
341C4×C53#54811yescharacteristic
342C4×C53#54811yescharacteristic
343Dic53—81no—
344Dic53—81no—
345Dic53—81no—
346Dic53—81no—
347C2×#542D5311yescharacteristic
348C2×#501—531no—
349C2×#488—531no—
350#2629—531no—
351#2036—531no—
352#2035—531no—
353#2034—531no—
354#2033—531no—
355#1990—531no—
356#1959—531no—
357#1865—531no—
358#1864—531no—
359#1863—531no—
360#1862—531no—
361#1750—531no—
362C2×C53—81no—
363C2×C53—82no—
364C2×C53#243211yescharacteristic
365C2×C53#301211yescharacteristic
366C2×C53#301311yescharacteristic
367C2×C53#317811yescharacteristic
368C2×C53#317911yescharacteristic
369C2×C53#324311yescharacteristic
370C2×C53#324411yescharacteristic
371#542—24no—
372#542—24no—
373C2×C4⋊Q8C2×D5311yescharacteristic
374C2×#126—21no—
375C2×#125—531no—
376C2×#124—21no—
377C2×#124C2×D5311yescharacteristic
378C2×#123—21no—
379C2×C22⋊Q8—21no—
380C2×C22⋊Q8C2×D5311yescharacteristic
381C2×#121C2×D5311yescharacteristic
382C2×C4×Q8C2×D5311yescharacteristic
383C2×C4×D4C2×D5311yescharacteristic
384C2×#117C2×D5311yescharacteristic
385#501—1064no—
386#488—1064no—
387C2×#107—531no—
388C2×#107—531no—
389C2×#106—531no—
390C2×#106—531no—
391C2×#103—531no—
392C2×#103—531no—
393C2×#103—531no—
394C2×#103—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×#102—531no—
398C2×#102—531no—
399C2×C22⋊C8—531no—
400C2×C22⋊C8—531no—
401C2×#97—531no—
402C2×C4×C8—531no—
403#398—1061no—
404#398—1061no—
405#396—1061no—
406#396—1061no—
407#389—531no—
408#389—531no—
409#384—531no—
410#380—531no—
411#380—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#336—531no—
417#336—531no—
418C53#2568411yescharacteristic, complemented, Sylow
419C22×Q8—21no—
420C22×Q8C22×D5311yescharacteristic
421C22×D4—21no—
422C22×D4C22×D5311yescharacteristic
423C23×C4—21no—
424C23×C4C22×D5311yescharacteristic
425C22×C8—531no—
426C22×C8—531no—
427C22×C8—531no—
428C22×C8—531no—
429C4⋊Q8—22no—
430C4⋊Q8C22⋊D5314yes—
431#126—28no—
432#125—1062no—
433#125—1062no—
434#124—28no—
435#124—22no—
436#124C22⋊D5314yes—
437#123—28no—
438C22⋊Q8—28no—
439C22⋊Q8—22no—
440C22⋊Q8—22no—
441#121—22no—
442#121—22no—
443C4×Q8—22no—
444C4×Q8—22no—
445C4×D4—22no—
446C4×D4—22no—
447#117—22no—
448#117—22no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4—1061no—
462C2×C4⋊C4C22⋊D5311yescharacteristic
463C2×C4⋊C4C22⋊D5311yescharacteristic
464C2×C4⋊C4C22×D5311yescharacteristic
465C2×C4⋊C4C22×D5311yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—1061no—
472C2×C22⋊C4—1061no—
473C2×C22⋊C4C22⋊D5311yescharacteristic
474C2×C22⋊C4C22⋊D5311yescharacteristic
475C2×C42—21no—
476C2×C42C22×D5311yescharacteristic
477C2×C42C22×D5311yescharacteristic
478#107—1062no—
479#107—1062no—
480#106—1062no—
481#106—1062no—
482#103—1062no—
483#103—1062no—
484#103—1062no—
485#103—1062no—
486#102—1062no—
487#102—1062no—
488#102—1062no—
489#102—1062no—
490C22⋊C8—1062no—
491C22⋊C8—1062no—
492#97—1062no—
493C4×C8—1062no—
494#95—1061no—
495#95—1061no—
496#95—1061no—
497#95—1061no—
498C24—21no—
499C24C2×C22⋊D5311yescharacteristic
500C2×Q8—24no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—81no—
507C2×Q8—81no—
508C2×Q8C2×C22⋊D5312yes—
509C2×D4—24no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—81no—
516C2×D4—81no—
517C2×D4C2×C22⋊D5312yes—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—1061no—
531C22×C4—1061no—
532C22×C4—1061no—
533C22×C4—1061no—
534C22×C4C2×C22⋊D5311yescharacteristic
535C22×C4C2×C22⋊D5311yescharacteristic
536C22×C4C2×C22⋊D5311yescharacteristic
537C22×C4C2×C22⋊D5311yescharacteristic
538C22×C4C2×C22⋊D5311yescharacteristic
539C22×C4C23×D5311yescharacteristic
540C2×C8—532no—
541C2×C8—532no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—4241no—
568C4⋊C4—4241no—
569C4⋊C4—4241no—
570C4⋊C4—4241no—
571C4⋊C4—2122no—
572C4⋊C4—2122no—
573C4⋊C4C2×C22⋊D5312yes—
574C4⋊C4C2×C22⋊D5312yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—4241no—
583C22⋊C4—4241no—
584C42—24no—
585C42—21no—
586C42—21no—
587C42C2×C22⋊D5312yes—
588C42C2×C22⋊D5312yes—
589C23—21no—
590C23—22no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23C22×C22⋊D5311yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—84no—
609D4—22no—
610D4—22no—
611D4—41no—
612D4—41no—
613D4—84no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—84no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4#1313318612yes—
654C2×C4#1313318612yes—
655C2×C4C22×C22⋊D5311yescharacteristic
656C2×C4C22×C22⋊D5311yescharacteristic
657C2×C4#41×D5311yescharacteristic
658C2×C4#41×D5311yescharacteristic
659C2×C4#1313326411yescharacteristic
660C2×C4#1313326411yescharacteristic
661C8—1062no—
662C8—1062no—
663C8—2121no—
664C8—2121no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—42no—
669C22—42no—
670C22—41no—
671C22—41no—
672C22—42no—
673C22—41no—
674C22—41no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22C2×#1313318611yescharacteristic
680C22#1681116911yescharacteristic
681C22#1681119411yescharacteristic
682C22#1681142611yescharacteristic
683C22#1681143111yescharacteristic
684C22#1681143411yescharacteristic
685C22#1681143811yescharacteristic
686C4—22no—
687C4—22no—
688C4—41no—
689C4—42no—
690C4—41no—
691C4—42no—
692C4—42no—
693C4—41no—
694C4—4241no—
695C4—4241no—
696C4—4241no—
697C4—4241no—
698C4#1681127211yescharacteristic
699C4#1681127211yescharacteristic
700C4#1681128011yescharacteristic
701C4#1681128011yescharacteristic
702C2—81no—
703C2—82no—
704C2#2027833911yescharacteristic
705C2#2028401911yescharacteristic
706C2#2028403011yescharacteristic
707C2#2028537711yescharacteristic
708C2#2028539211yescharacteristic
709C2#2028599211yescharacteristic
710C2#2028600711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC2×C53×#542C2
socleC23×C53C22×D4
prime radicalC2×#121×C53C22
hypercenterC2×#542D53
hypocenterC53#25684
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. C2×#16811029C2semidirect
2. C2×#16810977C2semidirect
3. #20280545C2semidirect
4. #20275915C2semidirect
5. #20275908C2semidirect
8. #20275677C2semidirect
9. #20275532C2semidirect
10. #20274983C2semidirect
11. #20274976C2semidirect
12. #20274969C2semidirect
13. #20274962C2semidirect
14. #20274481C2semidirect
418. C53#25684semidirect

Maximal subgroups

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

subgroupindex
C2×#168110292
C2×#168109772
#202805452
#202759152
#202759082
#202759012
#202758942
#202756772
#202755322
#202749832
#202749762
#202749692
#202749622
#202744812
C2×C53×#5422
#2568453