Finite Group Databasebeta

← #27432451

Subgroups — #27432451

Order 13568.

968 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810941C211yesmaximal, characteristic, complemented
2C2×#16810857C211yesmaximal, characteristic
3#20277729C211yesmaximal, characteristic, complemented
4#20276197C211yesmaximal, characteristic, complemented
5#20276129C211yesmaximal, characteristic, complemented
6#20276089C211yesmaximal, characteristic, complemented
7#20276025C211yesmaximal, characteristic, complemented
8#20275481C211yesmaximal, characteristic, complemented
9#20275339C211yesmaximal, characteristic, complemented
10#20275066C211yesmaximal, characteristic, complemented
11#20275033C211yesmaximal, characteristic, complemented
12#20274895C211yesmaximal, characteristic, complemented
13#20274722C211yesmaximal, characteristic, complemented
14C2×#16810385C211yesmaximal, characteristic, complemented
15C53×#2504C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C23×#88322C2211yescharacteristic
18C2×#13133191C2211yescharacteristic
19C2×C4×D212C2211yescharacteristic
20C2×#13133177—21no—
21C22×C4⋊Dic53C2211yescharacteristic
22#16810941—24no—
23#16810857—24no—
24C2×#13133150C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133148C2211yescharacteristic
27C2×C4⋊#88322C2211yescharacteristic
28C2×C4⋊#88322C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×#13133138C2211yescharacteristic
32C2×#13133137C2211yescharacteristic
33C2×#13133137C2211yescharacteristic
34C2×#13133137C2211yescharacteristic
35C2×C22⋊#88322C2211yescharacteristic
36#16810525C2211yescharacteristic
37#16810521C2211yescharacteristic
38#16810515—21no—
39#16810500—21no—
40#16810497—21no—
41C4×C4⋊Dic53C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C2×#121×C53C2211yescharacteristic
51C22×C4⋊C4×C53C2211yescharacteristic
52C53×#397—21no—
53C53×#397—21no—
54C53×#390C2211yescharacteristic
55C53×#390C2211yescharacteristic
56C53×#386—21no—
57C53×#386—21no—
58C53×#382C2211yescharacteristic
59C53×#382C2211yescharacteristic
60C4×C22⋊C4×C53C2211yescharacteristic
61C22×D212C2311yescharacteristic
62C22×C22⋊D53—21no—
63C23×Dic53—21no—
64C22×C4×D53—21no—
65C2×#11719922—22no—
66C2×#11719922—22no—
67C2×#11719922—41no—
68C22×#88322—22no—
69C22×#88322—22no—
70C22×#88322—41no—
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C22×#88322C2311yescharacteristic
74C22×#88322C2311yescharacteristic
75#13133191—22no—
76#13133191D414yes—
77C4×D212—22no—
78C4×D212—41no—
79#13133177—44no—
80C2×C4⋊Dic53—21no—
81C2×C4⋊Dic53—22no—
82C2×C4⋊Dic53—41no—
83C2×C4⋊Dic53C2311yescharacteristic
84C2×C4⋊Dic53C2311yescharacteristic
85C2×C4⋊Dic53C2311yescharacteristic
86C2×#11719919—21no—
87C2×#11719921—21no—
88C2×#11719921—21no—
89C2×#11719921—21no—
90C2×#11719921—21no—
91C2×C4×Dic53—21no—
92#13133150—22no—
93#13133148—22no—
94#13133148—22no—
95C4⋊#88322—22no—
96C4⋊#88322—41no—
97#13133138—22no—
98#13133138—22no—
99#13133138—41no—
100#13133137—22no—
101#13133137—22no—
102#13133137—22no—
103C22⋊#88322—22no—
104#13133124—21no—
105#13133124—21no—
106C22×D4×C53—21no—
107C22×D4×C53C2311yescharacteristic
108C23×C4×C53—21no—
109C23×C4×C53C2311yescharacteristic
110#121×C53—22no—
111#121×C53—22no—
112C2×C4⋊C4×C53—21no—
113C2×C4⋊C4×C53—22no—
114C2×C4⋊C4×C53—22no—
115C2×C4⋊C4×C53C2311yescharacteristic
116C2×C4⋊C4×C53C2311yescharacteristic
117C2×C4⋊C4×C53C2311yescharacteristic
118C2×C22⋊C4×C53—21no—
119C2×C22⋊C4×C53—21no—
120C2×C22⋊C4×C53—21no—
121C2×C22⋊C4×C53—21no—
122C2×C22⋊C4×C53—21no—
123C2×C22⋊C4×C53D411yescharacteristic
124C2×C22⋊C4×C53D411yescharacteristic
125C2×C42×C53C2311yescharacteristic
126C2×C42×C53C2311yescharacteristic
127#95×C53—21no—
128#95×C53—21no—
129#95×C53—21no—
130#95×C53—21no—
131#95×C53D411yescharacteristic
132#95×C53D411yescharacteristic
133C24×C53—21no—
134C24×C53C2×D411yescharacteristic
135C23×D53—21no—
136C2×D4×C53—21no—
137C2×D4×C53—21no—
138C2×D4×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53—42no—
143C2×D4×C53—42no—
144C2×D4×C53—42no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—42no—
153C22×C4×C53—81no—
154C22×C4×C53—81no—
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53C2×D411yescharacteristic
158C22×C4×C53C2×D411yescharacteristic
159C22×C4×C53C2×D411yescharacteristic
160C22×C4×C53C2×D412yes—
161C22×C4×C53#4112yes—
162C22×C4×C53C2411yescharacteristic
163C2×C22⋊D53—24no—
164C2×C22⋊D53—42no—
165C2×C22⋊D53—42no—
166C22×Dic53—21no—
167C22×Dic53—21no—
168C22×Dic53—21no—
169C22×Dic53—42no—
170C22×Dic53—42no—
171C22×Dic53—81no—
172C2×D212—21no—
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212—21no—
177C2×D212C2×D412yes—
178C2×C4×D53—42no—
179C2×C4×D53—42no—
180C2×C4×D53—81no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C4⋊C4×C53—42no—
188C22⋊C4×C53—22no—
189C22⋊C4×C53—22no—
190C22⋊C4×C53—42no—
191C22⋊C4×C53—81no—
192C22⋊C4×C53—81no—
193C22⋊C4×C53—81no—
194C22⋊C4×C53—81no—
195C42×C53—21no—
196C42×C53—21no—
197C42×C53—21no—
198C42×C53—21no—
199#11719922—44no—
200#11719921—24no—
201#11719921—42no—
202#11719921—42no—
203#11719921—81no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—42no—
209C4⋊Dic53C2×D412yes—
210C4⋊Dic53#4112yes—
211#11719919—42no—
212C4×Dic53—42no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—44no—
225C2×#88322#4112yes—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—41no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53#12112yes—
238C23×C53#13512yes—
239C23×C53AGL(1,ℤ/8)12yes—
240C23×C53C22×D411yescharacteristic
241C22×D53—22no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C22×D53—41no—
248D4×C53—41no—
249D4×C53—41no—
250D4×C53—41no—
251D4×C53—41no—
252D4×C53—84no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—22no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
270C2×C4×C53—21no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
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—84no—
281C2×C4×C53#12112yes—
282C2×C4×C53C22×D411yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C53C2×#4111yescharacteristic
286C2×C4×C53H(5,𝔽2)11yescharacteristic
287C2×C4×C532−1+411yescharacteristic
288C22⋊D53—48no—
289C2×Dic53—22no—
290C2×Dic53—22no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—84no—
299D212—22no—
300D212—22no—
301D212—41no—
302D212—41no—
303C4×D53—84no—
304#88322—22no—
305#88322—41no—
306#88322—41no—
307#88322—41no—
308#25214—531nomaximal, Sylow
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—22no—
312C22×C53—22no—
313C22×C53—22no—
314C22×C53—22no—
315C22×C53—81no—
316C22×C53—81no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53—81no—
320C22×C53—81no—
321C22×C53—81no—
322C22×C53#46314yes—
323C22×C53C2×#12111yescharacteristic
324C22×C53#54611yescharacteristic
325C22×C53#54711yescharacteristic
326C22×C53C2×#13511yescharacteristic
327C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C53#57611yescharacteristic
329C22×C53#57711yescharacteristic
330C2×D53—42no—
331C2×D53—42no—
332C2×D53—42no—
333C2×D53—81no—
334C2×D53—81no—
335C2×D53—81no—
336C2×D53—81no—
337C4×C53—22no—
338C4×C53—41no—
339C4×C53—41no—
340C4×C53—41no—
341C4×C53—41no—
342C4×C53—81no—
343C4×C53—81no—
344C4×C53—81no—
345C4×C53#52911yescharacteristic
346C4×C53#53911yescharacteristic
347C4×C53#54611yescharacteristic
348C4×C53#54711yescharacteristic
349Dic53—42no—
350Dic53—42no—
351Dic53—81no—
352C2×#481—531no—
353C2×#466—531no—
354#2504D5311yescharacteristic, complemented
355#2361—531no—
356#2085—531no—
357#2073—531no—
358#2065—531no—
359#2054—531no—
360#1949—531no—
361#1926—531no—
362#1879—531no—
363#1874—531no—
364#1850—531no—
365#1804—531no—
366C2×#340—531no—
367C2×C53—24no—
368C2×C53—161no—
369C2×C53#242511yescharacteristic
370C2×C53C2×#46311yescharacteristic
371C2×C53#304511yescharacteristic
372C2×C53#330111yescharacteristic
373C2×C53#331811yescharacteristic
374C2×C53#333911yescharacteristic
375C2×C53#334511yescharacteristic
376D53—82no—
377C22×D8—531no—
378C23×C8—531no—
379C2×#121—531no—
380C2×#121C2×D5311yescharacteristic
381C2×C4×D4—531no—
382C2×C4×D4—1061no—
383C22×C4⋊C4—531no—
384C22×C4⋊C4C2×D5311yescharacteristic
385#481—1064no—
386#466—1064no—
387C2×#107—531no—
388C2×#106—531no—
389C2×#106—531no—
390C2×C4⋊C8—531no—
391C2×C4⋊C8—531no—
392C2×#102—531no—
393C2×#102—531no—
394C2×#102—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×#102—531no—
398C2×C22⋊C8—531no—
399#397—21no—
400#397—21no—
401#390—531no—
402#390C2×D5311yescharacteristic
403#390C2×D5311yescharacteristic
404#389—531no—
405#388—1061no—
406#386—21no—
407#386—21no—
408#386—1061no—
409#385—1061no—
410#382C2×D5311yescharacteristic
411#382C2×D5311yescharacteristic
412C4×C4⋊C4—531no—
413C4×C22⋊C4C2×D5311yescharacteristic
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419#340—531no—
420#336—531no—
421#336—531no—
422C53#2521411yescharacteristic, complemented, Sylow
423C22×D4—21no—
424C22×D4—531no—
425C22×D4—1061no—
426C22×D4C22×D5311yescharacteristic
427C23×C4—21no—
428C23×C4—1061no—
429C23×C4—1061no—
430C23×C4C22×D5311yescharacteristic
431C2×D8—1062no—
432C2×D8—1062no—
433C2×D8—2121no—
434C22×C8—531no—
435C22×C8—531no—
436C22×C8—531no—
437C22×C8—531no—
438C22×C8—1062no—
439C22×C8—1062no—
440C22×C8—2121no—
441#121—22no—
442#121—22no—
443#121—534no—
444#121—1062no—
445C4×D4—1062no—
446C4×D4—2121no—
447C4×D4—2124no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—1062no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—2121no—
458C2×C4⋊C4C22×D5311yescharacteristic
459C2×C4⋊C4C22×D5311yescharacteristic
460C2×C4⋊C4C22×D5311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C22⋊C4—1061no—
470C2×C22⋊C4C22⋊D5311yescharacteristic
471C2×C22⋊C4C22⋊D5311yescharacteristic
472C2×C42—1061no—
473C2×C42C22×D5311yescharacteristic
474C2×C42C22×D5311yescharacteristic
475#107—1062no—
476#106—1062no—
477#106—1062no—
478C4⋊C8—1062no—
479C4⋊C8—2121no—
480#102—1062no—
481#102—1062no—
482#102—1062no—
483#102—1062no—
484#102—1062no—
485#102—2121no—
486C22⋊C8—1062no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—1061no—
492#95—1061no—
493#95C22⋊D5311yescharacteristic
494#95C22⋊D5311yescharacteristic
495C24—21no—
496C24—1061no—
497C24C2×C22⋊D5311yescharacteristic
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—532no—
508C2×D4—1064no—
509C2×D4—1061no—
510C2×D4—1061no—
511C2×D4—1061no—
512C2×D4—1061no—
513C2×D4—1061no—
514C2×D4—2122no—
515C2×D4—2122no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—1061no—
529C22×C4—4241no—
530C22×C4—4241no—
531C22×C4—2122no—
532C22×C4—2122no—
533C22×C4—2122no—
534C22×C4—2122no—
535C22×C4D4×D5312yes—
536C22×C4#1171994712yes—
537C22×C4C2×C22⋊D5311yescharacteristic
538C22×C4C2×C22⋊D5311yescharacteristic
539C22×C4C2×C22⋊D5311yescharacteristic
540C22×C4C2×C22⋊D5311yescharacteristic
541C22×C4C2×C22⋊D5311yescharacteristic
542C22×C4C23×D5311yescharacteristic
543D8—2124no—
544C2×C8—532no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—1061no—
554C2×C8—1061no—
555C2×C8—1061no—
556C2×C8—2124no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—42no—
564C4⋊C4—532no—
565C4⋊C4—532no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4—1061no—
570C4⋊C4—2122no—
571C4⋊C4—2122no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—81no—
577C22⋊C4—81no—
578C22⋊C4—81no—
579C22⋊C4—1064no—
580C22⋊C4—4241no—
581C22⋊C4—2122no—
582C22⋊C4—2122no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—2122no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—1062no—
600C23—2121no—
601C23—2121no—
602C23—2121no—
603C23—2121no—
604C23—2121no—
605C23—2121no—
606C23#1313318812yes—
607C23#1313323712yes—
608C23#1313324212yes—
609C23C22×C22⋊D5311yescharacteristic
610D4—41no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—84no—
615D4—1062no—
616D4—1062no—
617D4—2128no—
618D4—2121no—
619D4—2121no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—84no—
648C2×C4—1062no—
649C2×C4—1062no—
650C2×C4—4244no—
651C2×C4—4244no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2121no—
659C2×C4#1313318812yes—
660C2×C4C2×D4×D5311yescharacteristic
661C2×C4#41×D5311yescharacteristic
662C2×C4#41×D5311yescharacteristic
663C2×C4C2×#1171994711yescharacteristic
664C2×C4#1313326311yescharacteristic
665C2×C4#1313326411yescharacteristic
666C8—1062no—
667C8—2121no—
668C8—2121no—
669C8—2121no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—4241no—
684C22—4241no—
685C22—4241no—
686C22—4241no—
687C22—2122no—
688C22—2122no—
689C22—2122no—
690C22#1681083514yes—
691C22C2×#1313318811yescharacteristic
692C22#1681126111yescharacteristic
693C22#1681127211yescharacteristic
694C22C2×#1313323711yescharacteristic
695C22C2×#1313324211yescharacteristic
696C22#1681142611yescharacteristic
697C22#1681143411yescharacteristic
698C4—22no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—81no—
706C4—4241no—
707C4—2122no—
708C4—2122no—
709C4#1681115011yescharacteristic
710C4#1681121711yescharacteristic
711C4#1681126511yescharacteristic
712C4#1681127111yescharacteristic
713C2—24no—
714C2—161no—
715C2—4242no—
716C2#2027826211yescharacteristic
717C2C2×#1681083511yescharacteristic
718C2#2028425011yescharacteristic
719C2#2028661111yescharacteristic
720C2#2028685011yescharacteristic
721C2#2028711111yescharacteristic
722C2#2028717911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2504C2
socleC23×C53C22×D4
prime radicalC2×#16810857C2
hypercenter#2504D53
hypocenterC53#25214
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2504

Complements

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

NH ≅ G/Ntype
1. C2×#16810941C2semidirect
3. #20277729C2semidirect
4. #20276197C2semidirect
5. #20276129C2semidirect
6. #20276089C2semidirect
7. #20276025C2semidirect
8. #20275481C2semidirect
9. #20275339C2semidirect
10. #20275066C2semidirect
11. #20275033C2semidirect
12. #20274895C2semidirect
13. #20274722C2semidirect
14. C2×#16810385C2semidirect
15. C53×#2504C2semidirect
354. #2504D53semidirect
422. C53#25214semidirect

Maximal subgroups

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

subgroupindex
C2×#168109412
C2×#168108572
#202777292
#202761972
#202761292
#202760892
#202760252
#202754812
#202753392
#202750662
#202750332
#202748952
#202747222
C2×#168103852
C53×#25042
#2521453