Finite Group Databasebeta

← #27444048

Subgroups — #27444048

Order 13568.

924 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810947C211yesmaximal, characteristic, complemented
2C2×#16810666C211yesmaximal, characteristic, complemented
3#20278155C211yesmaximal, characteristic
4#20276244C211yesmaximal, characteristic, complemented
5#20276187C211yesmaximal, characteristic, complemented
6#20276146C211yesmaximal, characteristic, complemented
7#20275897C211yesmaximal, characteristic, complemented
8#20275342C211yesmaximal, characteristic, complemented
9#20275293C211yesmaximal, characteristic, complemented
10#20275151C211yesmaximal, characteristic, complemented
11#20275037C211yesmaximal, characteristic, complemented
12#20275013C211yesmaximal, characteristic, complemented
13#20274914C211yesmaximal, characteristic, complemented
14#20274902C211yesmaximal, characteristic, complemented
15C53×#2354C211yesmaximal, characteristic, complemented
16C22×#11719917C2211yescharacteristic
17C2×#13133191C2211yescharacteristic
18C2×#13133191C2211yescharacteristic
19C2×#13133189—21no—
20C22×C4⋊Dic53C2211yescharacteristic
21#16810947—24no—
22#16810666—24no—
23C2×#13133150C2211yescharacteristic
24C2×#13133150C2211yescharacteristic
25C2×#13133150C2211yescharacteristic
26C2×#13133150C2211yescharacteristic
27C2×#13133148C2211yescharacteristic
28C2×#13133148C2211yescharacteristic
29C2×#13133137C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32C2×#13133137C2211yescharacteristic
33C2×C22⋊#88322C2211yescharacteristic
34C2×C22⋊#88322C2211yescharacteristic
35C2×C22⋊#88322C2211yescharacteristic
36#16810545—21no—
37#16810539—21no—
38#16810525C2211yescharacteristic
39#16810521C2211yescharacteristic
40#16810500—21no—
41#16810483C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C2×C4×D4×C53C2211yescharacteristic
51C2×#117×C53C2211yescharacteristic
52C2×#117×C53C2211yescharacteristic
53C53×#390—21no—
54C53×#388—21no—
55C53×#388—21no—
56C53×#384C2211yescharacteristic
57C53×#380C2211yescharacteristic
58C53×#380C2211yescharacteristic
59C4×C4⋊C4×C53—21no—
60C4×C4⋊C4×C53C2211yescharacteristic
61C22×D212C2311yescharacteristic
62C22×C22⋊D53—21no—
63C22×C22⋊D53—21no—
64C23×Dic53—21no—
65C2×#11719917—22no—
66C2×#11719917—22no—
67C2×#11719917—22no—
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72#13133191—22no—
73#13133191—22no—
74#13133191—22no—
75#13133191—41no—
76#13133189—44no—
77C2×C4⋊Dic53—21no—
78C2×C4⋊Dic53—22no—
79C2×C4⋊Dic53—41no—
80C2×C4⋊Dic53C2311yescharacteristic
81C2×C4⋊Dic53C2311yescharacteristic
82C2×C4⋊Dic53C2311yescharacteristic
83C2×#11719919—21no—
84C2×C22⋊Dic53—21no—
85C2×#11719921—21no—
86C2×#11719921—21no—
87C2×#11719921—21no—
88C2×#11719921—21no—
89#13133150—22no—
90#13133150—22no—
91#13133150—22no—
92#13133150—41no—
93#13133148—22no—
94#13133148D414yescomplemented
95#13133137—22no—
96#13133137—22no—
97#13133137—22no—
98#13133137—41no—
99C22⋊#88322—22no—
100C22⋊#88322—22no—
101C22⋊#88322—22no—
102#13133124—21no—
103#13133124—21no—
104C22×D4×C53D411yescharacteristic
105C23×C4×C53C2311yescharacteristic
106C23×C4×C53C2311yescharacteristic
107C4×D4×C53—22no—
108C4×D4×C53—22no—
109#117×C53—22no—
110#117×C53—22no—
111#117×C53—41no—
112#117×C53—41no—
113C2×C4⋊C4×C53—21no—
114C2×C4⋊C4×C53—21no—
115C2×C4⋊C4×C53D411yescharacteristic
116C2×C4⋊C4×C53C2311yescharacteristic
117C2×C4⋊C4×C53C2311yescharacteristic
118C2×C4⋊C4×C53C2311yescharacteristic
119C2×C4⋊C4×C53C2311yescharacteristic
120C2×C22⋊C4×C53—21no—
121C2×C22⋊C4×C53—21no—
122C2×C22⋊C4×C53—21no—
123C2×C22⋊C4×C53—21no—
124C2×C22⋊C4×C53D411yescharacteristic
125C2×C22⋊C4×C53D411yescharacteristic
126C2×C42×C53—21no—
127C2×C42×C53—21no—
128C2×C42×C53—21no—
129C2×C42×C53C2311yescharacteristic
130#95×C53—21no—
131#95×C53—21no—
132#95×C53—21no—
133C24×C53C2×D411yescharacteristic
134C24×C53C2×D411yescharacteristic
135C23×D53—21no—
136C2×D4×C53—22no—
137C2×D4×C53—22no—
138C2×D4×C53—41no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
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—21no—
153C22×C4×C53C2×D411yescharacteristic
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53#4112yes—
158C22×C4×C53#4112yes—
159C22×C4×C53C2411yescharacteristic
160C2×C22⋊D53—42no—
161C2×C22⋊D53—42no—
162C2×C22⋊D53—42no—
163C2×C22⋊D53—42no—
164C2×C22⋊D53—42no—
165C2×C22⋊D53—81no—
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×D212—21no—
178C4⋊C4×C53—22no—
179C4⋊C4×C53—21no—
180C4⋊C4×C53—21no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—42no—
187C4⋊C4×C53—81no—
188C4⋊C4×C53C2×D412yes—
189C22⋊C4×C53—22no—
190C22⋊C4×C53—22no—
191C22⋊C4×C53—42no—
192C22⋊C4×C53—42no—
193C22⋊C4×C53—81no—
194C22⋊C4×C53—81no—
195C42×C53—21no—
196C42×C53—21no—
197C42×C53—42no—
198C42×C53—42no—
199C42×C53—42no—
200C22⋊Dic53—42no—
201#11719921—42no—
202#11719921—42no—
203#11719921—42no—
204#11719921—81no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—42no—
211C4⋊Dic53C2×D412yes—
212#11719919—42no—
213#11719917—28no—
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×#88322C2×D412yes—
225C2×#88322#4112yes—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53#12312yes—
240C23×C53C22×D411yescharacteristic
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C22×D53—41no—
248D4×C53—44no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—22no—
254C2×C4×C53—22no—
255C2×C4×C53—22no—
256C2×C4×C53—22no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—22no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
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#12312yes—
280C2×C4×C53AGL(1,ℤ/8)12yes—
281C2×C4×C53C22×D411yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C53H(5,𝔽2)11yescharacteristic
286C2×C4×C532−1+411yescharacteristic
287C22⋊D53—84no—
288C22⋊D53—84no—
289C2×Dic53—22no—
290C2×Dic53—41no—
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—41no—
300D212—41no—
301D212—41no—
302D212—41no—
303#88322—22no—
304#88322—22no—
305#88322—41no—
306#88322—41no—
307#26157—531nomaximal, Sylow
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53—41no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53C2×#12311yescharacteristic
323C22×C53D4211yescharacteristic
324C22×C53#54711yescharacteristic
325C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C53#57511yescharacteristic
327C22×C53#57611yescharacteristic
328C22×C53#57811yescharacteristic
329C2×D53—81no—
330C2×D53—81no—
331C2×D53—81no—
332C2×D53—81no—
333C2×D53—81no—
334C2×D53—81no—
335C2×D53—81no—
336C4×C53—22no—
337C4×C53—22no—
338C4×C53—41no—
339C4×C53—41no—
340C4×C53—42no—
341C4×C53—81no—
342C4×C53—81no—
343C4×C53—81no—
344C4×C53#52511yescharacteristic
345C4×C53#53911yescharacteristic
346C4×C53#54811yescharacteristic
347C4×C53#55311yescharacteristic
348Dic53—42no—
349Dic53—81no—
350Dic53—81no—
351C2×#482—531no—
352C2×#428—531no—
353#2416—531no—
354#2354D5311yescharacteristic, complemented
355#2093—531no—
356#2083—531no—
357#2076—531no—
358#2033—531no—
359#1926—531no—
360#1919—531no—
361#1895—531no—
362#1875—531no—
363#1870—531no—
364#1854—531no—
365#1852—531no—
366C2×C53—42no—
367C2×C53—81no—
368C2×C53#244311yescharacteristic
369C2×C53#309411yescharacteristic
370C2×C53#309811yescharacteristic
371C2×C53#326911yescharacteristic
372C2×C53#327411yescharacteristic
373C2×C53#334711yescharacteristic
374C2×C53#335311yescharacteristic
375D53—161no—
376C22×M16—531no—
377C2×#121—531no—
378C2×#121—531no—
379C2×#121—1061no—
380C2×C4×D4C2×D5311yescharacteristic
381C2×#117C2×D5311yescharacteristic
382C2×#117C2×D5311yescharacteristic
383C22×C4⋊C4—531no—
384#482—1064no—
385#428—1064no—
386C2×#107—531no—
387C2×#107—531no—
388C2×#107—531no—
389C2×#107—531no—
390C2×#106—531no—
391C2×#106—531no—
392C2×#102—531no—
393C2×#102—531no—
394C2×#102—531no—
395C2×#102—531no—
396C2×C22⋊C8—531no—
397C2×C22⋊C8—531no—
398C2×C22⋊C8—531no—
399#396—1061no—
400#394—1061no—
401#390—21no—
402#390—531no—
403#389—531no—
404#388—21no—
405#388—21no—
406#386—1061no—
407#384C2×D5311yescharacteristic
408#380—531no—
409#380C2×D5311yescharacteristic
410#380C2×D5311yescharacteristic
411C4×C4⋊C4—21no—
412C4×C4⋊C4C2×D5311yescharacteristic
413#340—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419#336—531no—
420#336—531no—
421C53#2615711yescharacteristic, complemented, Sylow
422C22×D4—531no—
423C22×D4—1061no—
424C22×D4—1061no—
425C22×D4C22⋊D5311yescharacteristic
426C23×C4—1061no—
427C23×C4C22×D5311yescharacteristic
428C23×C4C22×D5311yescharacteristic
429C2×M16—1062no—
430C2×M16—1062no—
431C2×M16—1062no—
432C22×C8—531no—
433C22×C8—531no—
434C22×C8—531no—
435C22×C8—531no—
436#121—1062no—
437#121—1062no—
438#121—1062no—
439#121—2121no—
440#121—2124no—
441C4×D4—22no—
442C4×D4—22no—
443#117—22no—
444#117—22no—
445#117—41no—
446#117—41no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—1062no—
453C2×C4⋊C4—1061no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—2121no—
456C2×C4⋊C4C22⋊D5311yescharacteristic
457C2×C4⋊C4C22×D5311yescharacteristic
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—1061no—
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—21no—
473C2×C42—21no—
474C2×C42—21no—
475C2×C42C22×D5311yescharacteristic
476#107—1062no—
477#107—1062no—
478#107—1062no—
479#107—2121no—
480#106—534no—
481#106—1062no—
482#102—1062no—
483#102—1062no—
484#102—1062no—
485#102—2121no—
486C22⋊C8—1062no—
487C22⋊C8—1062no—
488C22⋊C8—1062no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—1061no—
493#95—1061no—
494C24—1061no—
495C24C2×C22⋊D5311yescharacteristic
496C24C2×C22⋊D5311yescharacteristic
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—41no—
500C2×D4—1061no—
501C2×D4—1061no—
502C2×D4—1061no—
503C2×D4—1061no—
504C2×D4—1061no—
505C2×D4—1061no—
506C2×D4—4241no—
507C2×D4—2122no—
508C2×D4—2122no—
509C2×D4—2122no—
510C2×D4—2122no—
511C2×D4—2122no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—1061no—
529C22×C4—4241no—
530C22×C4—2122no—
531C22×C4—2122no—
532C22×C4#1171994512yes—
533C22×C4#1171994512yes—
534C22×C4C2×C22⋊D5311yescharacteristic
535C22×C4C2×C22⋊D5311yescharacteristic
536C22×C4C2×C22⋊D5311yescharacteristic
537C22×C4C2×C22⋊D5311yescharacteristic
538C22×C4C23×D5311yescharacteristic
539M16—1068no—
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—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—42no—
561C4⋊C4—81no—
562C4⋊C4—532no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—2122no—
569C4⋊C4—2122no—
570C4⋊C4D4×D5312yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—81no—
577C22⋊C4—4241no—
578C22⋊C4—2122no—
579C22⋊C4—2122no—
580C22⋊C4—2122no—
581C22⋊C4—2122no—
582C42—21no—
583C42—21no—
584C42—42no—
585C42—42no—
586C42—42no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—2121no—
601C23—2121no—
602C23—2121no—
603C23—2121no—
604C23—2121no—
605C23—2121no—
606C23—2121no—
607C23#1313320012yes—
608C23C22×C22⋊D5311yescharacteristic
609D4—44no—
610D4—4244no—
611D4—4244no—
612D4—2121no—
613D4—2121no—
614D4—2121no—
615D4—2121no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
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—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—1062no—
647C2×C4—4244no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4#1313320012yes—
657C2×C4#1313324212yes—
658C2×C4C2×D4×D5311yescharacteristic
659C2×C4#41×D5311yescharacteristic
660C2×C4C2×#1171994511yescharacteristic
661C2×C4C2×#1171994511yescharacteristic
662C2×C4#1313326211yescharacteristic
663C2×C4#1313326411yescharacteristic
664C8—1062no—
665C8—1062no—
666C8—2121no—
667C8—2121no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—4241no—
683C22—4241no—
684C22—4241no—
685C22—4241no—
686C22—4241no—
687C22—4241no—
688C22—4241no—
689C22C2×#1313320011yescharacteristic
690C22D4×C22⋊D5311yescharacteristic
691C22#1681127211yescharacteristic
692C22C2×#1313324211yescharacteristic
693C22#1681142111yescharacteristic
694C22#1681142611yescharacteristic
695C22#1681143811yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—4241no—
705C4—4241no—
706C4—2122no—
707C4#1681113211yescharacteristic
708C4#1681121511yescharacteristic
709C4#1681128211yescharacteristic
710C4#1681132211yescharacteristic
711C2—42no—
712C2—81no—
713C2—8481no—
714C2#2027844411yescharacteristic
715C2#2028465511yescharacteristic
716C2#2028469311yescharacteristic
717C2#2028626611yescharacteristic
718C2#2028633511yescharacteristic
719C2#2028721511yescharacteristic
720C2#2028729311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2354C2
socleC23×C53C22×D4
prime radical#20278155C2
hypercenter#2354D53
hypocenterC53#26157
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2354

Complements

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

NH ≅ G/Ntype
1. C2×#16810947C2semidirect
2. C2×#16810666C2semidirect
4. #20276244C2semidirect
5. #20276187C2semidirect
6. #20276146C2semidirect
7. #20275897C2semidirect
8. #20275342C2semidirect
9. #20275293C2semidirect
10. #20275151C2semidirect
11. #20275037C2semidirect
12. #20275013C2semidirect
13. #20274914C2semidirect
14. #20274902C2semidirect
15. C53×#2354C2semidirect
94. #13133148D4semidirect
354. #2354D53semidirect
421. C53#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#168109472
C2×#168106662
#202781552
#202762442
#202761872
#202761462
#202758972
#202753422
#202752932
#202751512
#202750372
#202750132
#202749142
#202749022
C53×#23542
#2615753