Finite Group Databasebeta

← #27417873

Subgroups — #27417873

Order 13568.

1046 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810961C211yesmaximal, characteristic, complemented
2C2×#16810663C211yesmaximal, characteristic, complemented
3#20279012C211yesmaximal, characteristic
4#20276050C211yesmaximal, characteristic, complemented
5#20276050C211yesmaximal, characteristic, complemented
6#20275915C211yesmaximal, characteristic, complemented
7#20275908C211yesmaximal, characteristic, complemented
8#20275149C211yesmaximal, characteristic, complemented
9#20275013C211yesmaximal, characteristic
10#20274983C211yesmaximal, characteristic, complemented
11#20274969C211yesmaximal, characteristic, complemented
12#20274914C211yesmaximal, characteristic, complemented
13#20274914C211yesmaximal, characteristic, complemented
14#20274805C211yesmaximal, characteristic, complemented
15C2×C53×#552C211yesmaximal, characteristic
16C22×#11719917C2211yescharacteristic
17C2×#13133176C2211yescharacteristic
18#16810961—24no—
19#16810663—24no—
20C2×#13133150C2211yescharacteristic
21C2×#13133150C2211yescharacteristic
22C2×#13133150C2211yescharacteristic
23C2×#13133148C2211yescharacteristic
24C2×#13133148C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×#13133141C2211yescharacteristic
30C2×C22⋊#88322C2211yescharacteristic
31C2×C22⋊#88322C2211yescharacteristic
32C2×C22⋊#88322C2211yescharacteristic
33#16810551—21no—
34#16810537—21no—
35#16810521C2211yescharacteristic
36#16810521C2211yescharacteristic
37#16810511—21no—
38#16810504—21no—
39#16810483C2211yescharacteristic
40#16810483C2211yescharacteristic
41#16810483C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C53×#552—24no—
51C53×#552—24no—
52C2×#126×C53—21no—
53C2×#125×C53—21no—
54C2×#125×C53C2211yescharacteristic
55C2×#123×C53—21no—
56C2×C22⋊Q8×C53C2211yescharacteristic
57C2×C22⋊Q8×C53C2211yescharacteristic
58C2×C4×Q8×C53C2211yescharacteristic
59C2×C4×D4×C53C2211yescharacteristic
60C2×#117×C53—21no—
61C2×#117×C53C2211yescharacteristic
62C22×C4⋊C4×C53C2211yescharacteristic
63C2×#11719917—22no—
64C2×#11719917—22no—
65C2×#11719917—22no—
66C22×#88322C2311yescharacteristic
67C22×#88322C2311yescharacteristic
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70#13133176—22no—
71#13133176—22no—
72C2×C4⋊Dic53C2311yescharacteristic
73C2×C4⋊Dic53C2311yescharacteristic
74C2×C4⋊Dic53C2311yescharacteristic
75C2×C4⋊Dic53C2311yescharacteristic
76C2×#11719919—21no—
77C2×#11719919—21no—
78C2×C22⋊Dic53—21no—
79C2×C22⋊Dic53—21no—
80C2×C22⋊Dic53—21no—
81C2×C22⋊Dic53—21no—
82C2×C4×Dic53—21no—
83#13133150—22no—
84#13133150—22no—
85#13133150—22no—
86#13133148—22no—
87#13133148—22no—
88#13133148—22no—
89#13133141—22no—
90#13133141—22no—
91#13133141—22no—
92#13133141—22no—
93C22⋊#88322—22no—
94C22⋊#88322—22no—
95C22⋊#88322—22no—
96#13133124—21no—
97#13133124—21no—
98#13133124—21no—
99#13133124—21no—
100#13133124—21no—
101C22×Q8×C53C2311yescharacteristic
102C22×D4×C53D411yescharacteristic
103C23×C4×C53—21no—
104C23×C4×C53C2311yescharacteristic
105C23×C4×C53C2311yescharacteristic
106#126×C53—28no—
107#125×C53—28no—
108#125×C53—22no—
109#125×C53—22no—
110#123×C53—28no—
111C22⋊Q8×C53—22no—
112C22⋊Q8×C53—22no—
113C22⋊Q8×C53—22no—
114C22⋊Q8×C53D414yes—
115C4×Q8×C53—22no—
116C4×Q8×C53—22no—
117C4×D4×C53—22no—
118C4×D4×C53—22no—
119#117×C53—28no—
120#117×C53—22no—
121#117×C53—22no—
122C2×C4⋊C4×C53—21no—
123C2×C4⋊C4×C53—22no—
124C2×C4⋊C4×C53—21no—
125C2×C4⋊C4×C53—21no—
126C2×C4⋊C4×C53—21no—
127C2×C4⋊C4×C53—21no—
128C2×C4⋊C4×C53—21no—
129C2×C4⋊C4×C53D414yes—
130C2×C4⋊C4×C53D411yescharacteristic
131C2×C4⋊C4×C53C2311yescharacteristic
132C2×C4⋊C4×C53C2311yescharacteristic
133C2×C4⋊C4×C53C2311yescharacteristic
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×C53—21no—
141C2×C42×C53C2311yescharacteristic
142C24×C53C2×D411yescharacteristic
143C24×C53C2×D411yescharacteristic
144C2×Q8×C53—21no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53—21no—
148C2×Q8×C53—21no—
149C2×Q8×C53C2×D412yes—
150C2×D4×C53—22no—
151C2×D4×C53—41no—
152C2×D4×C53—41no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53—21no—
157C22×C4×C53—24no—
158C22×C4×C53—21no—
159C22×C4×C53—21no—
160C22×C4×C53—21no—
161C22×C4×C53—21no—
162C22×C4×C53—21no—
163C22×C4×C53—21no—
164C22×C4×C53—21no—
165C22×C4×C53—21no—
166C22×C4×C53—21no—
167C22×C4×C53—21no—
168C22×C4×C53—42no—
169C22×C4×C53—42no—
170C22×C4×C53C2×D411yescharacteristic
171C22×C4×C53C2×D411yescharacteristic
172C22×C4×C53C2×D411yescharacteristic
173C22×C4×C53C2×D411yescharacteristic
174C22×C4×C53C2×D412yes—
175C22×C4×C53C2×D412yes—
176C22×C4×C53C2411yescharacteristic
177C22×Dic53—21no—
178C22×Dic53—21no—
179C22×Dic53—21no—
180C22×Dic53—21no—
181C4⋊C4×C53—24no—
182C4⋊C4×C53—24no—
183C4⋊C4×C53—24no—
184C4⋊C4×C53—24no—
185C4⋊C4×C53—24no—
186C4⋊C4×C53—24no—
187C4⋊C4×C53—22no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53C2×D412yes—
192C4⋊C4×C53C2×D412yes—
193C4⋊C4×C53C2×D412yes—
194C22⋊C4×C53—24no—
195C22⋊C4×C53—24no—
196C22⋊C4×C53—24no—
197C22⋊C4×C53—22no—
198C22⋊C4×C53—22no—
199C42×C53—24no—
200C42×C53—24no—
201C42×C53—21no—
202C42×C53—21no—
203C22⋊Dic53—42no—
204C22⋊Dic53—42no—
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—
215#11719919—42no—
216#11719919—81no—
217C4×Dic53—42no—
218#11719917—28no—
219C2×#88322—21no—
220C2×#88322—21no—
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#4112yes—
230C2×#88322#4112yes—
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—21no—
240C23×C53—21no—
241C23×C53—21no—
242C23×C53—21no—
243C23×C53—21no—
244C23×C53#12012yes—
245C23×C53C22×D411yescharacteristic
246Q8×C53—22no—
247Q8×C53—22no—
248Q8×C53—41no—
249Q8×C53—41no—
250D4×C53—44no—
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—22no—
258C2×C4×C53—22no—
259C2×C4×C53—21no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
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—48no—
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—41no—
281C2×C4×C53—41no—
282C2×C4×C53—41no—
283C2×C4×C53#12012yes—
284C2×C4×C53C22×D411yescharacteristic
285C2×C4×C53C22×D411yescharacteristic
286C2×C4×C53C2×#4111yescharacteristic
287C2×C4×C53C2×#4111yescharacteristic
288C2×C4×C532−1+411yescharacteristic
289C2×C4×C532−1+411yescharacteristic
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—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302#88322—22no—
303#88322—22no—
304#88322—41no—
305#88322—41no—
306#24106—531nomaximal, Sylow
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—41no—
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×C53C2×#12011yescharacteristic
322C22×C53#54711yescharacteristic
323C22×C53#54711yescharacteristic
324C22×C53#57511yescharacteristic
325C22×C53#57511yescharacteristic
326C22×C53#57711yescharacteristic
327C22×C53#57811yescharacteristic
328C4×C53—22no—
329C4×C53—41no—
330C4×C53—42no—
331C4×C53—41no—
332C4×C53—42no—
333C4×C53—42no—
334C4×C53—41no—
335C4×C53—42no—
336C4×C53#52511yescharacteristic
337C4×C53#53611yescharacteristic
338C4×C53#54711yescharacteristic
339C4×C53#54711yescharacteristic
340Dic53—81no—
341Dic53—81no—
342Dic53—81no—
343Dic53—81no—
344C2×#552D5311yescharacteristic
345C2×#485—531no—
346C2×#428—531no—
347#2485—531no—
348#2059—531no—
349#2059—531no—
350#2036—531no—
351#2035—531no—
352#1894—531no—
353#1870—531no—
354#1865—531no—
355#1863—531no—
356#1854—531no—
357#1854—531no—
358#1824—531no—
359C2×C53—42no—
360C2×C53—81no—
361C2×C53#240611yescharacteristic
362C2×C53#300511yescharacteristic
363C2×C53#301311yescharacteristic
364C2×C53#334811yescharacteristic
365C2×C53#334911yescharacteristic
366C2×C53#335111yescharacteristic
367C2×C53#335211yescharacteristic
368C22×M16—531no—
369#552—24no—
370#552—24no—
371C2×#126—21no—
372C2×#125—21no—
373C2×#125C2×D5311yescharacteristic
374C2×#123—21no—
375C2×C22⋊Q8C2×D5311yescharacteristic
376C2×C22⋊Q8C2×D5311yescharacteristic
377C2×C4×Q8C2×D5311yescharacteristic
378C2×C4×D4C2×D5311yescharacteristic
379C2×#117—21no—
380C2×#117—531no—
381C2×#117C2×D5311yescharacteristic
382C22×C4⋊C4C2×D5311yescharacteristic
383#485—1064no—
384#428—1064no—
385C2×#107—531no—
386C2×#107—531no—
387C2×#107—531no—
388C2×#106—531no—
389C2×#106—531no—
390C2×#106—531no—
391C2×#103—531no—
392C2×#103—531no—
393C2×#103—531no—
394C2×#103—531no—
395C2×C22⋊C8—531no—
396C2×C22⋊C8—531no—
397C2×C22⋊C8—531no—
398#397—1061no—
399#394—1061no—
400#389—531no—
401#389—531no—
402#388—1061no—
403#387—1061no—
404#380—531no—
405#380—531no—
406#380—531no—
407#340—531no—
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#336—531no—
414#336—531no—
415C53#2410611yescharacteristic, complemented, Sylow
416C22×Q8C22×D5311yescharacteristic
417C22×D4C22⋊D5311yescharacteristic
418C23×C4—21no—
419C23×C4C22×D5311yescharacteristic
420C23×C4C22×D5311yescharacteristic
421C2×M16—1062no—
422C2×M16—1062no—
423C2×M16—1062no—
424C22×C8—531no—
425C22×C8—531no—
426C22×C8—531no—
427C22×C8—531no—
428#126—28no—
429#125—28no—
430#125—22no—
431#125—22no—
432#123—28no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8C22⋊D5314yes—
437C4×Q8—22no—
438C4×Q8—22no—
439C4×D4—22no—
440C4×D4—22no—
441#117—28no—
442#117—22no—
443#117—22no—
444#117—1062no—
445#117—1062no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4C22⋊D5311yescharacteristic
460C2×C4⋊C4C22⋊D5314yes—
461C2×C4⋊C4C22×D5311yescharacteristic
462C2×C4⋊C4C22×D5311yescharacteristic
463C2×C4⋊C4C22×D5311yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C22⋊C4—1061no—
470C2×C22⋊C4—1061no—
471C2×C22⋊C4C22⋊D5311yescharacteristic
472C2×C22⋊C4C22⋊D5311yescharacteristic
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—1061no—
476C2×C42C22×D5311yescharacteristic
477#107—1062no—
478#107—1062no—
479#107—1062no—
480#106—1062no—
481#106—1062no—
482#106—1062no—
483#103—1062no—
484#103—1062no—
485#103—1062no—
486#103—1062no—
487C22⋊C8—1062no—
488C22⋊C8—1062no—
489C22⋊C8—1062no—
490#95—1061no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495C24C2×C22⋊D5311yescharacteristic
496C24C2×C22⋊D5311yescharacteristic
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8C2×C22⋊D5312yes—
503C2×D4—22no—
504C2×D4—41no—
505C2×D4—41no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—21no—
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—42no—
522C22×C4—42no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4C2×C22⋊D5311yescharacteristic
528C22×C4C2×C22⋊D5311yescharacteristic
529C22×C4C2×C22⋊D5311yescharacteristic
530C22×C4C2×C22⋊D5311yescharacteristic
531C22×C4C2×C22⋊D5312yes—
532C22×C4C2×C22⋊D5312yes—
533C22×C4C23×D5311yescharacteristic
534M16—1068no—
535C2×C8—532no—
536C2×C8—532no—
537C2×C8—1061no—
538C2×C8—1061no—
539C2×C8—1061no—
540C2×C8—1061no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—4241no—
566C4⋊C4—2122no—
567C4⋊C4C2×C22⋊D5312yes—
568C4⋊C4C2×C22⋊D5312yes—
569C4⋊C4C2×C22⋊D5312yes—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—4241no—
576C22⋊C4—4241no—
577C22⋊C4—2122no—
578C22⋊C4—2122no—
579C42—24no—
580C42—24no—
581C42—21no—
582C42—21no—
583C42—2122no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23#1313318612yes—
598C23C22×C22⋊D5311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—44no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—48no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—2121no—
637C2×C4—2121no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4#1313318612yes—
649C2×C4C22×C22⋊D5311yescharacteristic
650C2×C4C22×C22⋊D5311yescharacteristic
651C2×C4#41×D5311yescharacteristic
652C2×C4#41×D5311yescharacteristic
653C2×C4#1313326411yescharacteristic
654C2×C4#1313326411yescharacteristic
655C8—1062no—
656C8—1062no—
657C8—2121no—
658C8—2121no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22C2×#1313318611yescharacteristic
674C22#1681127211yescharacteristic
675C22#1681127211yescharacteristic
676C22#1681142111yescharacteristic
677C22#1681142111yescharacteristic
678C22#1681143111yescharacteristic
679C22#1681143811yescharacteristic
680C4—22no—
681C4—41no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—42no—
688C4—4241no—
689C4—4241no—
690C4—4241no—
691C4—4241no—
692C4#1681113011yescharacteristic
693C4#1681119411yescharacteristic
694C4#1681127211yescharacteristic
695C4#1681127211yescharacteristic
696C2—42no—
697C2—81no—
698C2#2027804611yescharacteristic
699C2#2028395711yescharacteristic
700C2#2028403011yescharacteristic
701C2#2028722411yescharacteristic
702C2#2028724511yescharacteristic
703C2#2028727511yescharacteristic
704C2#2028728411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC2×C53×#552C2
socleC23×C53C22×D4
prime radicalC22×D4×C53D4
hypercenterC2×#552D53
hypocenterC53#24106
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. C2×#16810961C2semidirect
2. C2×#16810663C2semidirect
4. #20276050C2semidirect
5. #20276050C2semidirect
6. #20275915C2semidirect
7. #20275908C2semidirect
8. #20275149C2semidirect
10. #20274983C2semidirect
11. #20274969C2semidirect
12. #20274914C2semidirect
13. #20274914C2semidirect
14. #20274805C2semidirect
415. C53#24106semidirect

Maximal subgroups

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

subgroupindex
C2×#168109612
C2×#168106632
#202790122
#202760502
#202759152
#202759082
#202751492
#202750132
#202749832
#202749692
#202749142
#202748052
C2×C53×#5522
#2410653