Finite Group Databasebeta

← #27428042

Subgroups — #27428042

Order 13568.

994 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×#16810785C211yesmaximal, characteristic
2C2×C4×#11719923C211yesmaximal, characteristic, complemented
3#20278240C211yesmaximal, characteristic, complemented
4#20276258C211yesmaximal, characteristic, complemented
5#20276152C211yesmaximal, characteristic, complemented
6#20276037C211yesmaximal, characteristic, complemented
7#20275911C211yesmaximal, characteristic, complemented
8#20275394C211yesmaximal, characteristic, complemented
9#20275323C211yesmaximal, characteristic, complemented
10#20275059C211yesmaximal, characteristic, complemented
11#20275049C211yesmaximal, characteristic, complemented
12#20274976C211yesmaximal, characteristic, complemented
13#20274715C211yesmaximal, characteristic, complemented
14#20274655C211yesmaximal, characteristic
15C53×#2339C211yesmaximal, characteristic
16C22×#11719925C2211yescharacteristic
17C22×#11719923C2211yescharacteristic
18C2×#13133196C2211yescharacteristic
19C2×C4×Dic106C2211yescharacteristic
20#16810785—24no—
21C4×#11719923—24no—
22C2×#13133148C2211yescharacteristic
23C2×#13133148C2211yescharacteristic
24C2×C4⋊#88322C2211yescharacteristic
25C2×#13133141C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133140C2211yescharacteristic
29C2×#13133140C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×#13133138C2211yescharacteristic
32C2×#13133138C2211yescharacteristic
33C2×C22⋊#88322C2211yescharacteristic
34C2×C22⋊#88322C2211yescharacteristic
35C2×C4×#88322C2211yescharacteristic
36#16810559—21no—
37#16810557—21no—
38#16810529C2211yescharacteristic
39#16810521C2211yescharacteristic
40#16810516—21no—
41#16810506—21no—
42#16810493C2211yescharacteristic
43#16810483C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C22×#41×C53C2211yescharacteristic
51C2×C4×D4×C53C2211yescharacteristic
52C2×C4×D4×C53C2211yescharacteristic
53C53×#391C2211yescharacteristic
54C53×#391C2211yescharacteristic
55C53×#386—21no—
56C53×#386—21no—
57C53×#381—21no—
58C53×#380C2211yescharacteristic
59C4×C22⋊C4×C53C2211yescharacteristic
60C2×#95×C53—21no—
61C22×Dic106C2311yescharacteristic
62C2×#11719925—22no—
63C2×#11719925—22no—
64C2×#11719925—41no—
65C2×#11719923—22no—
66C2×#11719923—22no—
67C2×#11719923D414yes—
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72#13133196—22no—
73#13133196—41no—
74C4×Dic106—22no—
75C4×Dic106—41no—
76C2×C4⋊Dic53—21no—
77C2×C4⋊Dic53—21no—
78C2×C4⋊Dic53C2311yescharacteristic
79C2×C4⋊Dic53C2311yescharacteristic
80C2×C4⋊Dic53C2311yescharacteristic
81C2×#11719919—21no—
82C2×#11719919—21no—
83C2×#11719919—21no—
84C2×C22⋊Dic53—21no—
85C2×C22⋊Dic53—21no—
86C2×C4×Dic53—21no—
87#13133148—22no—
88#13133148—41no—
89C4⋊#88322—41no—
90#13133141—22no—
91#13133141—22no—
92#13133141—41no—
93#13133140—22no—
94#13133140—41no—
95#13133138—22no—
96#13133138—22no—
97#13133138—22no—
98C22⋊#88322—22no—
99C22⋊#88322—41no—
100C4×#88322—22no—
101#13133124—21no—
102#13133124—21no—
103#13133124—21no—
104#13133124—21no—
105C2×#41×C53—22no—
106C2×#41×C53—22no—
107C2×#41×C53—22no—
108C2×#41×C53—22no—
109C2×#41×C53—41no—
110C2×#41×C53—41no—
111C22×Q8×C53C2311yescharacteristic
112C22×D4×C53—21no—
113C22×D4×C53C2311yescharacteristic
114C23×C4×C53—21no—
115C23×C4×C53—21no—
116C23×C4×C53—21no—
117C23×C4×C53C2311yescharacteristic
118C4×D4×C53—22no—
119C4×D4×C53—22no—
120C4×D4×C53—41no—
121C4×D4×C53—41no—
122C2×C4⋊C4×C53C2311yescharacteristic
123C2×C4⋊C4×C53C2311yescharacteristic
124C2×C22⋊C4×C53—21no—
125C2×C22⋊C4×C53—21no—
126C2×C22⋊C4×C53—21no—
127C2×C22⋊C4×C53D411yescharacteristic
128C2×C22⋊C4×C53D411yescharacteristic
129C2×C42×C53C2311yescharacteristic
130C2×C42×C53C2311yescharacteristic
131#95×C53—21no—
132#95×C53—21no—
133#95×C53—21no—
134#95×C53—21no—
135#95×C53—21no—
136#95×C53D411yescharacteristic
137#95×C53D411yescharacteristic
138C24×C53—21no—
139C24×C53C2×D411yescharacteristic
140#41×C53—44no—
141#41×C53—44no—
142#41×C53—44no—
143#41×C53—44no—
144C2×Q8×C53—21no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53—21no—
148C2×Q8×C53—21no—
149C2×Q8×C53#4112yes—
150C2×D4×C53—24no—
151C2×D4×C53—21no—
152C2×D4×C53—21no—
153C2×D4×C53—21no—
154C2×D4×C53—42no—
155C2×D4×C53—42no—
156C2×D4×C53C2×D412yes—
157C2×D4×C53#4112yes—
158C2×D4×C53#4112yes—
159C22×C4×C53—24no—
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—21no—
169C22×C4×C53—42no—
170C22×C4×C53—42no—
171C22×C4×C53—42no—
172C22×C4×C53—42no—
173C22×C4×C53—42no—
174C22×C4×C53—42no—
175C22×C4×C53—81no—
176C22×C4×C53—81no—
177C22×C4×C53C2×D411yescharacteristic
178C22×C4×C53C2×D411yescharacteristic
179C22×C4×C53C2×D411yescharacteristic
180C22×C4×C53C2×D411yescharacteristic
181C22×C4×C53C2×D411yescharacteristic
182C22×C4×C53C2411yescharacteristic
183C22×Dic53—21no—
184C22×Dic53—21no—
185C22×Dic53—21no—
186C22×Dic53—21no—
187C2×Dic106—21no—
188C2×Dic106—21no—
189C2×Dic106—21no—
190C2×Dic106—21no—
191C2×Dic106—21no—
192C2×Dic106C2×D412yes—
193C4⋊C4×C53—21no—
194C4⋊C4×C53—21no—
195C4⋊C4×C53—21no—
196C4⋊C4×C53—21no—
197C22⋊C4×C53—22no—
198C22⋊C4×C53—22no—
199C22⋊C4×C53—42no—
200C22⋊C4×C53—42no—
201C22⋊C4×C53—81no—
202C42×C53—21no—
203C42×C53—21no—
204C42×C53—21no—
205C42×C53—21no—
206C22⋊Dic53—42no—
207C22⋊Dic53—81no—
208#11719925—44no—
209#11719923—28no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—21no—
216C4⋊Dic53—42no—
217C4⋊Dic53—81no—
218#11719919—42no—
219#11719919—42no—
220#11719919—81no—
221C4×Dic53—42no—
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—21no—
232C2×#88322—21no—
233C2×#88322C2×D412yes—
234C23×C53—22no—
235C23×C53—22no—
236C23×C53—22no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—21no—
241C23×C53—21no—
242C23×C53—21no—
243C23×C53—21no—
244C23×C53—41no—
245C23×C53—41no—
246C23×C53—41no—
247C23×C53—41no—
248C23×C53C22×D411yescharacteristic
249Q8×C53—22no—
250Q8×C53—22no—
251Q8×C53—41no—
252Q8×C53—41no—
253D4×C53—22no—
254D4×C53—22no—
255D4×C53—22no—
256D4×C53—48no—
257D4×C53#12314yes—
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—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
270C2×C4×C53—21no—
271C2×C4×C53—21no—
272C2×C4×C53—48no—
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—41no—
284C2×C4×C53—41no—
285C2×C4×C53—84no—
286C2×C4×C53—84no—
287C2×C4×C53#13512yes—
288C2×C4×C53#13712yes—
289C2×C4×C53C22×D411yescharacteristic
290C2×C4×C53C2×#4111yescharacteristic
291C2×C4×C53C2×#4111yescharacteristic
292C2×C4×C53C2×#4111yescharacteristic
293C2×C4×C53H(5,𝔽2)11yescharacteristic
294C2×C4×C53H(5,𝔽2)11yescharacteristic
295C2×Dic53—22no—
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—
305C2×Dic53—41no—
306C2×Dic53—41no—
307Dic106—22no—
308Dic106—22no—
309Dic106—41no—
310Dic106—41no—
311#88322—22no—
312#88322—41no—
313#88322—41no—
314#88322—41no—
315#24907—531nomaximal, Sylow
316C22×C53—24no—
317C22×C53—42no—
318C22×C53—42no—
319C22×C53—42no—
320C22×C53—42no—
321C22×C53—42no—
322C22×C53—42no—
323C22×C53—41no—
324C22×C53—41no—
325C22×C53—41no—
326C22×C53—41no—
327C22×C53—41no—
328C22×C53—41no—
329C22×C53—41no—
330C22×C53#52511yescharacteristic
331C22×C53D4211yescharacteristic
332C22×C53#54611yescharacteristic
333C22×C53C2×#13511yescharacteristic
334C22×C53C2×#13711yescharacteristic
335C22×C53#57711yescharacteristic
336C22×C53#57711yescharacteristic
337C4×C53—22no—
338C4×C53—22no—
339C4×C53—41no—
340C4×C53—41no—
341C4×C53—42no—
342C4×C53—41no—
343C4×C53—81no—
344C4×C53—81no—
345C4×C53C2×#12311yescharacteristic
346C4×C53#53811yescharacteristic
347C4×C53#54611yescharacteristic
348C4×C53#55111yescharacteristic
349Dic53—42no—
350Dic53—81no—
351Dic53—81no—
352Dic53—81no—
353C2×#452—531no—
354C2×C4×SD16—531no—
355#2423—531no—
356#2339D5311yescharacteristic
357#2096—531no—
358#2077—531no—
359#2056—531no—
360#2035—531no—
361#1933—531no—
362#1923—531no—
363#1878—531no—
364#1877—531no—
365#1864—531no—
366#1802—531no—
367#1788—531no—
368C2×C53—44no—
369C2×C53—81no—
370C2×C53#241811yescharacteristic
371C2×C53#310711yescharacteristic
372C2×C53#312511yescharacteristic
373C2×C53#326611yescharacteristic
374C2×C53#328411yescharacteristic
375C2×C53#329611yescharacteristic
376C2×C53#333111yescharacteristic
377C22×#41C2×D5311yescharacteristic
378C22×Q16—531no—
379C22×SD16—531no—
380C2×C22⋊Q8—531no—
381C2×C4×Q8—531no—
382C2×C4×D4C2×D5311yescharacteristic
383C2×C4×D4C2×D5311yescharacteristic
384#452—1064no—
385C4×SD16—1064no—
386C2×#106—531no—
387C2×#106—531no—
388C2×C4⋊C8—531no—
389C2×#103—531no—
390C2×#103—531no—
391C2×#103—531no—
392C2×#103—531no—
393C2×#103—531no—
394C2×#102—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×C22⋊C8—531no—
398C2×C22⋊C8—531no—
399C2×C4×C8—531no—
400#399—1061no—
401#398—1061no—
402#391—531no—
403#391C2×D5311yescharacteristic
404#391C2×D5311yescharacteristic
405#389—531no—
406#388—1061no—
407#387—1061no—
408#386—21no—
409#386—21no—
410#384—531no—
411#381—21no—
412#380—531no—
413#380C2×D5311yescharacteristic
414C4×C22⋊C4C2×D5311yescharacteristic
415C2×#95—21no—
416#340—531no—
417#340—531no—
418#340—531no—
419#340—531no—
420#336—531no—
421#336—531no—
422C53#2490711yescharacteristic, complemented, Sylow
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—22no—
427C2×#41—41no—
428C2×#41—41no—
429C22×Q8—531no—
430C22×Q8C22×D5311yescharacteristic
431C22×D4—21no—
432C22×D4C22×D5311yescharacteristic
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
436C23×C4C22×D5311yescharacteristic
437C2×Q16—1062no—
438C2×Q16—1062no—
439C2×Q16—2121no—
440C2×SD16—534no—
441C2×SD16—1062no—
442C2×SD16—1062no—
443C22×C8—531no—
444C22×C8—531no—
445C22×C8—531no—
446C22×C8—531no—
447C22⋊Q8—1062no—
448C22⋊Q8—2121no—
449C4×Q8—1062no—
450C4×Q8—2121no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—41no—
454C4×D4—41no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—531no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4—1061no—
462C2×C4⋊C4—1061no—
463C2×C4⋊C4C22×D5311yescharacteristic
464C2×C4⋊C4C22×D5311yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
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#106—1062no—
476#106—2121no—
477C4⋊C8—2121no—
478#103—1062no—
479#103—1062no—
480#103—1062no—
481#103—2121no—
482#103—2121no—
483#102—1062no—
484#102—1062no—
485#102—1062no—
486C22⋊C8—1062no—
487C22⋊C8—2121no—
488C4×C8—1062no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—1061no—
495#95—1061no—
496#95—1061no—
497#95—1061no—
498#95C22⋊D5311yescharacteristic
499#95C22⋊D5311yescharacteristic
500C24—21no—
501C24C2×C22⋊D5311yescharacteristic
502#41—44no—
503#41—44no—
504#41—44no—
505#41—44no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—532no—
512C2×Q8—1061no—
513C2×Q8—1061no—
514C2×Q8—1061no—
515C2×Q8—1061no—
516C2×Q8—1061no—
517C2×Q8#1171994512yes—
518C2×D4—24no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1171994512yes—
525C2×D4D4×D5312yes—
526C2×D4#1171994712yes—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—81no—
544C22×C4—81no—
545C22×C4—1061no—
546C22×C4—1061no—
547C22×C4—1061no—
548C22×C4—1061no—
549C22×C4C2×C22⋊D5311yescharacteristic
550C22×C4C2×C22⋊D5311yescharacteristic
551C22×C4C2×C22⋊D5311yescharacteristic
552C22×C4C2×C22⋊D5311yescharacteristic
553C22×C4C2×C22⋊D5311yescharacteristic
554C22×C4C23×D5311yescharacteristic
555Q16—2124no—
556SD16—1068no—
557C2×C8—532no—
558C2×C8—1061no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8—1061no—
562C2×C8—1061no—
563C2×C8—1061no—
564C2×C8—1061no—
565C2×C8—1061no—
566C2×C8—1061no—
567C2×C8—1061no—
568C2×C8—1061no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—1061no—
577C4⋊C4—1061no—
578C4⋊C4—1061no—
579C4⋊C4—4241no—
580C4⋊C4—4241no—
581C4⋊C4—2122no—
582C4⋊C4—2122no—
583C4⋊C4—2122no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—81no—
589C22⋊C4—4241no—
590C22⋊C4—2122no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—21no—
595C42—2122no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23C22×C22⋊D5311yescharacteristic
611Q8—22no—
612Q8—22no—
613Q8—41no—
614Q8—41no—
615Q8—1062no—
616Q8—1062no—
617Q8—2121no—
618Q8—2121no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—48no—
623D4#1313319914yes—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—48no—
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—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—84no—
652C2×C4—84no—
653C2×C4—1062no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2121no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4—2121no—
664C2×C4—2121no—
665C2×C4#1313323712yes—
666C2×C4#1313324712yes—
667C2×C4C2×D4×D5311yescharacteristic
668C2×C4C2×#1171994711yescharacteristic
669C2×C4C2×#1171994511yescharacteristic
670C2×C4C2×#1171994511yescharacteristic
671C2×C4#1313326211yescharacteristic
672C2×C4#1313326211yescharacteristic
673C8—1062no—
674C8—2121no—
675C8—2121no—
676C8—2121no—
677C22—24no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22#1681113411yescharacteristic
692C22D4×C22⋊D5311yescharacteristic
693C22#1681126711yescharacteristic
694C22C2×#1313323711yescharacteristic
695C22C2×#1313324711yescharacteristic
696C22#1681143111yescharacteristic
697C22#1681143411yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—41no—
702C4—42no—
703C4—41no—
704C4—81no—
705C4—81no—
706C4—4241no—
707C4—4241no—
708C4—4241no—
709C4—2122no—
710C4C2×#1313319911yescharacteristic
711C4#1681121111yescharacteristic
712C4#1681126311yescharacteristic
713C4#1681129911yescharacteristic
714C2—44no—
715C2—81no—
716C2#2027817711yescharacteristic
717C2#2028478611yescharacteristic
718C2#2028499211yescharacteristic
719C2#2028622111yescharacteristic
720C2#2028644111yescharacteristic
721C2#2028655011yescharacteristic
722C2#2028703111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2339C2
socleC23×C53C22×D4
prime radicalC22×#41×C53C22
hypercenter#2339D53
hypocenterC53#24907
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11719923C2semidirect
3. #20278240C2semidirect
4. #20276258C2semidirect
5. #20276152C2semidirect
6. #20276037C2semidirect
7. #20275911C2semidirect
8. #20275394C2semidirect
9. #20275323C2semidirect
10. #20275059C2semidirect
11. #20275049C2semidirect
12. #20274976C2semidirect
13. #20274715C2semidirect
422. C53#24907semidirect

Maximal subgroups

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

subgroupindex
C2×#168107852
C2×C4×#117199232
#202782402
#202762582
#202761522
#202760372
#202759112
#202753942
#202753232
#202750592
#202750492
#202749762
#202747152
#202746552
C53×#23392
#2490753