Finite Group Databasebeta

← #12963262

Subgroups — #12963262

Order 1280.

2814 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41×C22⋊D5C211yesmaximal, characteristic
2C22×#4094C211yesmaximal, characteristic, complemented
3C2×D5×#131C211yesmaximal, characteristic, complemented
4C5×#2880C211yesmaximal, characteristic, complemented
5#10615524C211yesmaximal, characteristic, complemented
6#10615514C211yesmaximal, characteristic, complemented
7Dic5×#131C211yesmaximal, characteristic, complemented
8#10610391C213yesmaximal, complemented
9#10610390C213yesmaximal, complemented
10#10610388C213yesmaximal, complemented
11#10610386C213yesmaximal, complemented
12#10610359C213yesmaximal, complemented
13#10610357C213yesmaximal, complemented
14#10610327C213yesmaximal, complemented
15C2×#65014C213yesmaximal, complemented
16C22×C5×#41C2211yescharacteristic
17C2×D5×#41C2211yescharacteristic
18C2×C5×#131C2211yescharacteristic
19C2×C5×#131C2211yescharacteristic
20#66168C411yescharacteristic
21#66166C2213yes—
22#66165C411yescharacteristic
23#66163C413yes—
24#66162C2213yes—
25#41×Dic5C2211yescharacteristic
26#66158C413yes—
27C2×#4094—28no—
28C2×#4094C2211yescharacteristic
29C2×#4094C2211yescharacteristic
30C2×#4094C2213yescomplemented
31C2×#4094C2213yescomplemented
32#66151C411yescharacteristic
33Q8×C22⋊D5C411yescharacteristic
34#66140C413yes—
35D4×C22⋊D5C413yes—
36#66125C2213yes—
37C2×C4×C22⋊D5C2213yes—
38C22×#681C2213yescomplemented
39C23×#168C2213yescomplemented
40D5×#131—28no—
41C2×#4053C2213yescomplemented
42C2×D5×M16C2213yescomplemented
43C2×#4047C2213yescomplemented
44C22×C8×D5C2213yescomplemented
45C5×#408C2213yescomplemented
46C5×#408C2213yescomplemented
47C5×#407C2213yescomplemented
48C2×C5×C22⋊C8C2213yescomplemented
49#65418C2213yescomplemented
50#65415C2213yescomplemented
51#65411C2213yescomplemented
52#65408C2213yescomplemented
53#65407C2213yescomplemented
54M16×Dic5C2213yescomplemented
55#65399C2213yescomplemented
56C2×#3952C2213yescomplemented
57#65391C2213yescomplemented
58#65390C2213yescomplemented
59C2×#3946C2213yescomplemented
60C2×C8×Dic5C2213yescomplemented
61#65019C2216yescomplemented
62#65019C2216yescomplemented
63#65018C2216yescomplemented
64#65018C2216yescomplemented
65#65017C2216yescomplemented
66#65017C2216yescomplemented
67#65014C2211yescharacteristic
68#65014C2213yes—
69#65014C2213yescomplemented
70#65014C2213yescomplemented
71#65014C2213yescomplemented
72#65014C2213yescomplemented
73#65014C2213yescomplemented
74#65014C2213yescomplemented
75#65014C2216yescomplemented
76D4×#131—51nomaximal, Sylow
77C2×C5×#41—24no—
78C2×C5×#41—24no—
79C2×C5×#41C2×C413yes—
80C2×C5×#41C2×C411yescharacteristic
81C2×C5×#41C2313yes—
82C2×C5×#41C2311yescharacteristic
83C22×C5×Q8C2×C411yescharacteristic
84C22×C5×D4C2×C413yes—
85C23×C4×C5C2313yes—
86C22×C22⋊D5C2×C413yes—
87D5×#41—24no—
88D5×#41—24no—
89C2×#713C2×C411yescharacteristic
90C2×Q8×D5C2×C411yescharacteristic
91C2×#711C2×C413yes—
92C2×D4×D5C2×C413yes—
93C2×#709C2313yes—
94C22×C4×D5C2313yes—
95C5×#131—24no—
96C5×#131—24no—
97C2×C5×M16C2313yes—
98C2×C5×M16C2313yes—
99C22×C5×C8C2313yes—
100C22×C5×C8C2313yes—
101#4099C2×C416yes—
102C2×C22⋊Dic5C2×C413yes—
103#4094—24no—
104#4094—212no—
105#4094—212no—
106#4094D418yescomplemented
107#4093C2×C413yes—
108#4092C2×C413yes—
109#4092C2×C413yes—
110Q8×Dic5C2×C411yescharacteristic
111Q8×Dic5C2×C411yescharacteristic
112#4090C2×C413yes—
113#4086C2×C413yes—
114#4085C2×C416yes—
115#4085C2×C416yes—
116#4084C2×C413yes—
117#4084C2×C413yes—
118#4083C2×C416yes—
119#4082C2×C413yes—
120#4081C2×C416yes—
121D4×Dic5C2×C413yes—
122D4×Dic5C2×C413yes—
123#4076C2×C413yes—
124#4076C2×C413yes—
125#4075C2×C416yes—
126C4×C22⋊D5C2×C413yes—
127C4×C22⋊D5C2×C413yes—
128C4×C22⋊D5C2×C413yes—
129C4×C22⋊D5C2×C413yes—
130C4×C22⋊D5C2311yescharacteristic
131C4×C22⋊D5C2313yes—
132C4×C22⋊D5C2313yes—
133C4×C22⋊D5C2313yes—
134C4×C22⋊D5C2316yes—
135C2×#685C2×C413yes—
136#4072C2313yes—
137#4070C2×C413yes—
138#4070C2×C413yes—
139C2×#683C2×C413yes—
140C2×C4×Dic5C2313yes—
141C2×#681—212no—
142C2×#681C2313yes—
143C2×#681C2316yes—
144C2×#681C2313yes—
145C22×#168—212no—
146C22×#168C2311yescharacteristic
147C22×#168C2313yes—
148C22×#168C2313yes—
149C22×#168C2313yes—
150C22×#168C2313yes—
151C22×#168C2313yes—
152#4053—212no—
153D5×M16—212no—
154#4047—212no—
155C2×#676C2316yes—
156C2×C8×D5—212no—
157C2×C8×D5C2311yescharacteristic
158C2×C8×D5C2313yes—
159C2×C8×D5C2313yes—
160C2×C8×D5C2313yes—
161C5×C22⋊C8C2311yescharacteristic
162C5×C22⋊C8C2313yes—
163C5×C22⋊C8C2313yes—
164C5×C22⋊C8C2313yes—
165C5×C22⋊C8C2316yes—
166#3952C2311yescharacteristic
167#3952C2313yes—
168#3952C2313yes—
169#3952C2313yes—
170#3952C2316yes—
171#3947C2316yes—
172#3946C2311yescharacteristic
173#3946C2313yes—
174#3946C2313yes—
175#3946C2313yes—
176#3946C2316yes—
177C8×Dic5C2311yescharacteristic
178C8×Dic5C2313yes—
179C8×Dic5C2313yes—
180C8×Dic5C2313yes—
181C22×#131—51no—
182C22×#131—51no—
183D4×#41—51no—
184#2935—53no—
185D4×M16—53no—
186#2933—53no—
187#2933—53no—
188#2931—53no—
189#2929—53no—
190#2929—53no—
191C2×C8×D4—53no—
192#2906—51no—
193#2880—51no—
194#2880D511yescharacteristic, complemented
195C4×#131—51no—
196C24×C5C22×C413yes—
197C23×D5C22×C413yes—
198C5×#41—24no—
199C5×#41—212no—
200C5×#41—26no—
201C5×#41—26no—
202C5×#41C2×D414yes—
203C5×#41#4114yes—
204C2×C5×Q8—24no—
205C2×C5×Q8C22×C413yes—
206C2×C5×Q8C22×C411yescharacteristic
207C2×C5×D4—212no—
208C2×C5×D4C22×C416yes—
209C2×C5×D4C22×C413yes—
210C2×C5×D4C22×C413yes—
211C22×C4×C5—26no—
212C22×C4×C5—26no—
213C22×C4×C5C22×C413yes—
214C22×C4×C5C22×C413yes—
215C22×C4×C5C22×C413yes—
216C22×C4×C5C2411yescharacteristic
217C22×C4×C5C2413yes—
218C22×C4×C5C2413yes—
219C2×C22⋊D5—212no—
220C2×C22⋊D5C22×C413yes—
221C2×C22⋊D5C22×C416yes—
222C2×C22⋊D5C22×C413yes—
223C2×C22⋊D5C22×C413yes—
224C2×C22⋊D5C22×C416yes—
225C2×C22⋊D5C22×C411yescharacteristic
226C22×Dic5C22×C413yes—
227C22×Dic5C22×C413yes—
228C22×Dic5C22×C413yes—
229#713—24no—
230Q8×D5—24no—
231#711—212no—
232D4×D5—212no—
233#709—26no—
234#709—26no—
235C2×D20C22×C413yes—
236C2×C4×D5—26no—
237C2×C4×D5—26no—
238C2×C4×D5C22×C413yes—
239C2×C4×D5C22×C413yes—
240C2×C4×D5C2411yescharacteristic
241C2×C4×D5C2413yes—
242C2×Dic10C22×C413yes—
243C5×M16—26no—
244C5×M16—26no—
245C2×C5×C8—26no—
246C2×C5×C8—26no—
247C2×C5×C8C2411yescharacteristic
248C2×C5×C8C2411yescharacteristic
249C2×C5×C8C2413yes—
250C2×C5×C8C2413yes—
251C22⋊Dic5C22×C411yescharacteristic
252C22⋊Dic5C22×C413yes—
253C22⋊Dic5C22×C413yes—
254C22⋊Dic5C22×C413yes—
255C22⋊Dic5C22×C416yes—
256C22⋊Dic5C22×C416yes—
257#685C22×C411yescharacteristic
258#685C22×C413yes—
259#685C22×C413yes—
260#685C22×C413yes—
261#685C22×C416yes—
262C4⋊Dic5C22×C413yes—
263C4⋊Dic5C22×C413yes—
264#683C22×C411yescharacteristic
265#683C22×C413yes—
266#683C22×C413yes—
267#683C22×C413yes—
268#683C22×C416yes—
269C4×Dic5C22×C413yes—
270C4×Dic5C22×C413yes—
271C4×Dic5C2411yescharacteristic
272C4×Dic5C2413yes—
273#681—26no—
274#681—212no—
275#681C2×D4112yescomplemented
276C2×#168—26no—
277C2×#168—22no—
278C2×#168—26no—
279C2×#168—26no—
280C2×#168—26no—
281C2×#168C2×D4112yescomplemented
282C2×#168C2411yescharacteristic
283C2×#168C2413yes—
284C2×#168C2411yescharacteristic
285C2×#168C2413yes—
286#676—212no—
287C8×D5—22no—
288C8×D5—26no—
289C8×D5—26no—
290C8×D5—26no—
291C22×#41—51no—
292C22×#41C2×D511yescharacteristic
293C2×#131—51no—
294C2×#131—51no—
295C2×#131—53no—
296C2×#131—53no—
297C2×#131—53no—
298C2×#131—53no—
299C2×#131—108no—
300C2×#131—108no—
301C2×#131C2×D511yescharacteristic
302C2×#131C2×D511yescharacteristic
303C22×M16—53no—
304C22×M16—53no—
305C23×C8—53no—
306C23×C8—53no—
307#550—51no—
308D4×Q8—51no—
309#548—51no—
310#548—51no—
311#547—53no—
312#546—53no—
313#546—53no—
314D42—53no—
315#532—53no—
316#525—53no—
317#525—53no—
318C4×#41—51no—
319C2×C4×D4—53no—
320#436—56no—
321#436—56no—
322#435—56no—
323#435—56no—
324#435—56no—
325#435—56no—
326C8×D4—51no—
327C8×D4—53no—
328C8×D4—53no—
329C8×D4—53no—
330C8×D4—53no—
331C8×D4—53no—
332C8×D4—53no—
333C8×D4—53no—
334C8×D4—56no—
335#424—53no—
336#424—53no—
337#423—53no—
338C2×C4⋊C8—53no—
339#408—53no—
340#408—53no—
341#408C2×D513yescomplemented
342#408C2×D513yescomplemented
343#407—53no—
344#407C2×D513yescomplemented
345C2×C22⋊C8—53no—
346C2×C22⋊C8C2×D513yescomplemented
347#405—53no—
348#405—53no—
349C4×M16—53no—
350C2×C4×C8—53no—
351C23×C5—26no—
352C23×C5—26no—
353C23×C5—43no—
354C23×C5C23×C413yes—
355C23×C5C23×C413yes—
356C23×C5C23×C411yescharacteristic
357C22×D5—26no—
358C22×D5—26no—
359C22×D5—43no—
360C22×D5C23×C413yes—
361C22×D5C23×C411yescharacteristic
362C5×Q8—26no—
363C5×Q8C4×D414yes—
364C5×D4—212no—
365C5×D4—26no—
366C5×D4C4×D4112yes—
367C2×C4×C5—26no—
368C2×C4×C5—26no—
369C2×C4×C5—26no—
370C2×C4×C5—21no—
371C2×C4×C5—23no—
372C2×C4×C5—21no—
373C2×C4×C5—23no—
374C2×C4×C5C23×C411yescharacteristic
375C2×C4×C5C23×C413yes—
376C2×C4×C5C23×C413yes—
377C2×C4×C5C22×D416yes—
378C2×C4×C5C2×#4116yes—
379C2×C4×C5C2511yescharacteristic
380C22⋊D5—212no—
381C22⋊D5—26no—
382C22⋊D5—26no—
383C22⋊D5—26no—
384C22⋊D5—46no—
385C22⋊D5#13114yescomplemented
386C2×Dic5—26no—
387C2×Dic5—26no—
388C2×Dic5—43no—
389C2×Dic5C23×C411yescharacteristic
390C2×Dic5C23×C413yes—
391C2×Dic5C23×C413yes—
392C2×Dic5C23×C413yes—
393C2×Dic5C23×C411yescharacteristic
394C2×Dic5C23×C411yescharacteristic
395D20—26no—
396C4×D5—26no—
397C4×D5—26no—
398C4×D5—21no—
399C4×D5—23no—
400C4×D5—21no—
401C4×D5—23no—
402Dic10—26no—
403C5×C8—21no—
404C5×C8—23no—
405C5×C8—21no—
406C5×C8—23no—
407#168—21no—
408#168—23no—
409#168C22×D412yes—
410#168C22×D416yes—
411C2×#41—24no—
412C2×#41—24no—
413C2×#41—51no—
414C2×#41—53no—
415C2×#41—53no—
416C2×#41—104no—
417C2×#41—104no—
418C2×#41C4×D513yes—
419C2×#41C4×D511yescharacteristic
420C2×#41C22×D513yes—
421C2×#41C22×D511yescharacteristic
422C22×Q8—51no—
423C22×Q8C4×D511yescharacteristic
424C22×D4—53no—
425C22×D4—53no—
426C22×D4C4×D513yes—
427C23×C4—53no—
428C23×C4C22×D513yes—
429#131—24no—
430#131—24no—
431#131—58no—
432#131—1012no—
433#131—1012no—
434#131—1012no—
435#131—1012no—
436#131—104no—
437C2×M16—53no—
438C2×M16—53no—
439C2×M16—56no—
440C2×M16—56no—
441C2×M16—1012no—
442C2×M16—1012no—
443C2×M16C22×D513yes—
444C2×M16C22×D513yes—
445C22×C8—53no—
446C22×C8—51no—
447C22×C8—53no—
448C22×C8—53no—
449C22×C8—53no—
450C22×C8—53no—
451C22×C8—51no—
452C22×C8—53no—
453C22×C8—53no—
454C22×C8—53no—
455C22×C8—1012no—
456C22×C8—1012no—
457C22×C8C22×D513yes—
458C22×C8C22×D513yes—
459C4⋊Q8—53no—
460#127—53no—
461#124—53no—
462#124—53no—
463#123—56no—
464#123—56no—
465C22⋊Q8—53no—
466C22⋊Q8—53no—
467C22⋊Q8—53no—
468C22⋊Q8—53no—
469#121—53no—
470#121—53no—
471#121—56no—
472#121—56no—
473#121—53no—
474#121—53no—
475#120—56no—
476#120—56no—
477C4×Q8—51no—
478C4×Q8—51no—
479C4×D4—53no—
480C4×D4—53no—
481C4×D4—53no—
482C4×D4—53no—
483C4×D4—53no—
484C4×D4—53no—
485C4×D4—51no—
486C4×D4—53no—
487C4×D4—53no—
488C4×D4—53no—
489C4×D4—56no—
490#117—53no—
491C2×C4⋊C4—53no—
492C2×C22⋊C4—53no—
493C2×C22⋊C4—53no—
494C2×C42—53no—
495C4⋊C8—51no—
496C4⋊C8—53no—
497C4⋊C8—53no—
498C4⋊C8—53no—
499C4⋊C8—56no—
500C22⋊C8—51no—
501C22⋊C8—53no—
502C22⋊C8—53no—
503C22⋊C8—53no—
504C22⋊C8—56no—
505C22⋊C8C22×D511yescharacteristic
506C22⋊C8C22×D513yes—
507C22⋊C8C22×D513yes—
508C22⋊C8C22×D513yes—
509C22⋊C8C22×D516yes—
510#97—56no—
511C4×C8—51no—
512C4×C8—53no—
513C4×C8—53no—
514C4×C8—53no—
515C22×C5—21no—
516C22×C5—23no—
517C22×C5—23no—
518C22×C5—21no—
519C22×C5—23no—
520C22×C5—23no—
521C22×C5—23no—
522C22×C5—412no—
523C22×C5C2×C4×D416yes—
524C22×C5C2×#13112yescomplemented
525C22×C5C24×C411yescharacteristic
526C2×D5—21no—
527C2×D5—21no—
528C2×D5—23no—
529C2×D5—23no—
530C2×D5—23no—
531C2×D5—412no—
532C2×D5C2×#13112yescomplemented
533C4×C5—21no—
534C4×C5—23no—
535C4×C5C2×C4×D416yes—
536C4×C5C23×D411yescharacteristic
537C4×C5C22×#4111yescharacteristic
538Dic5—23no—
539Dic5—21no—
540Dic5—23no—
541Dic5—21no—
542Dic5—23no—
543Dic5C2×#13112yescomplemented
544C24—53no—
545C24C2×C4×D513yes—
546#41—24no—
547#41—212no—
548#41—26no—
549#41—26no—
550#41—104no—
551#41—1012no—
552#41—106no—
553#41—106no—
554#41D4×D514yes—
555#41#71114yes—
556C2×Q8—24no—
557C2×Q8—53no—
558C2×Q8—104no—
559C2×Q8C2×C4×D513yes—
560C2×Q8C2×C4×D511yescharacteristic
561C2×D4—212no—
562C2×D4—51no—
563C2×D4—53no—
564C2×D4—53no—
565C2×D4—53no—
566C2×D4—56no—
567C2×D4—56no—
568C2×D4—53no—
569C2×D4—1012no—
570C2×D4—1012no—
571C2×D4C2×C4×D516yes—
572C2×D4C2×C4×D513yes—
573C2×D4C2×C4×D513yes—
574C22×C4—26no—
575C22×C4—26no—
576C22×C4—53no—
577C22×C4—53no—
578C22×C4—53no—
579C22×C4—53no—
580C22×C4—53no—
581C22×C4—51no—
582C22×C4—53no—
583C22×C4—106no—
584C22×C4—106no—
585C22×C4C2×C4×D513yes—
586C22×C4C2×C4×D513yes—
587C22×C4C2×C4×D513yes—
588C22×C4C23×D511yescharacteristic
589C22×C4C23×D513yes—
590C22×C4C23×D513yes—
591M16—26no—
592M16—26no—
593M16—512no—
594M16—1012no—
595M16—1012no—
596M16—106no—
597C2×C8—26no—
598C2×C8—26no—
599C2×C8—512no—
600C2×C8—51no—
601C2×C8—53no—
602C2×C8—51no—
603C2×C8—53no—
604C2×C8—102no—
605C2×C8—106no—
606C2×C8—106no—
607C2×C8—106no—
608C2×C8—102no—
609C2×C8—106no—
610C2×C8—106no—
611C2×C8—106no—
612C2×C8—106no—
613C2×C8C23×D511yescharacteristic
614C2×C8C23×D513yes—
615C2×C8C23×D511yescharacteristic
616C2×C8C23×D513yes—
617C4⋊C4—51no—
618C4⋊C4—53no—
619C4⋊C4—53no—
620C4⋊C4—53no—
621C4⋊C4—53no—
622C4⋊C4—53no—
623C4⋊C4—56no—
624C22⋊C4—51no—
625C22⋊C4—53no—
626C22⋊C4—53no—
627C22⋊C4—53no—
628C22⋊C4—56no—
629C22⋊C4—56no—
630C22⋊C4—51no—
631C22⋊C4—53no—
632C22⋊C4—53no—
633C22⋊C4—53no—
634C22⋊C4—56no—
635C42—53no—
636C42—53no—
637C42—51no—
638C42—53no—
639C2×C5—26no—
640C2×C5—22no—
641C2×C5—43no—
642C2×C5C22×C4×D411yescharacteristic
643C2×C5C22×#13111yescharacteristic
644C2×C5#357311yescharacteristic
645D5—22no—
646D5—43no—
647C23—26no—
648C23—26no—
649C23—43no—
650C23—51no—
651C23—53no—
652C23—106no—
653C23—106no—
654C23—203no—
655C23C22×C4×D513yes—
656C23C22×C4×D513yes—
657C23C22×C4×D511yescharacteristic
658Q8—26no—
659Q8—106no—
660Q8#402714yes—
661D4—212no—
662D4—26no—
663D4—54no—
664D4—106no—
665D4—106no—
666D4—1012no—
667D4—106no—
668D4—106no—
669D4—206no—
670D4#4027112yes—
671C2×C4—26no—
672C2×C4—26no—
673C2×C4—26no—
674C2×C4—21no—
675C2×C4—23no—
676C2×C4—21no—
677C2×C4—23no—
678C2×C4—51no—
679C2×C4—51no—
680C2×C4—53no—
681C2×C4—53no—
682C2×C4—51no—
683C2×C4—53no—
684C2×C4—106no—
685C2×C4—106no—
686C2×C4—106no—
687C2×C4—106no—
688C2×C4—101no—
689C2×C4—103no—
690C2×C4—101no—
691C2×C4—103no—
692C2×C4—203no—
693C2×C4C22×C4×D511yescharacteristic
694C2×C4C22×C4×D513yes—
695C2×C4C22×C4×D513yes—
696C2×C4C2×D4×D516yes—
697C2×C4C2×#71116yes—
698C2×C4C24×D511yescharacteristic
699C8—21no—
700C8—23no—
701C8—21no—
702C8—23no—
703C8—52no—
704C8—56no—
705C8—101no—
706C8—103no—
707C5D4×#13111yescharacteristic, complemented, Sylow
708C22—23no—
709C22—23no—
710C22—21no—
711C22—21no—
712C22—23no—
713C22—23no—
714C22—23no—
715C22—412no—
716C22—52no—
717C22—101no—
718C22—101no—
719C22—103no—
720C22—103no—
721C22—103no—
722C22—2012no—
723C22C2×#402716yes—
724C22D5×#13112yescomplemented
725C22C23×C4×D511yescharacteristic
726C4—21no—
727C4—23no—
728C4—52no—
729C4—103no—
730C4—101no—
731C4—103no—
732C4—101no—
733C4—103no—
734C4C2×#402716yes—
735C4C22×D4×D511yescharacteristic
736C4C22×#71111yescharacteristic
737C2—22no—
738C2—26no—
739C2—43no—
740C2—102no—
741C2—203no—
742C2C22×#402711yescharacteristic
743C2C2×D5×#13111yescharacteristic
744C2#1061906711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D5
commutator, socleC22×C5C24×C4
FittingC5×#2880C2
prime radical#41×C22⋊D5C2
cosocleC2×C4×C5C25
hypercenter#2880D5
hypocenterC5D4×#131
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C2×C4 ◁ #2880

Complements

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

NH ≅ G/Ntype
2. C22×#4094C2semidirect
3. C2×D5×#131C2semidirect
4. C5×#2880C2semidirect
5. #10615524C2semidirect
6. #10615514C2semidirect
7. Dic5×#131C2semidirect
8. #10610391C2semidirect
9. #10610390C2semidirect
10. #10610388C2semidirect
11. #10610386C2semidirect
12. #10610359C2semidirect
13. #10610357C2semidirect
14. #10610327C2semidirect
15. C2×#65014C2semidirect
30. C2×#4094C22semidirect
31. C2×#4094C22semidirect
38. C22×#681C22semidirect
39. C23×#168C22semidirect
41. C2×#4053C22semidirect
42. C2×D5×M16C22semidirect
43. C2×#4047C22semidirect
44. C22×C8×D5C22semidirect
45. C5×#408C22semidirect
46. C5×#408C22semidirect
47. C5×#407C22semidirect
48. C2×C5×C22⋊C8C22semidirect
49. #65418C22semidirect
50. #65415C22semidirect
51. #65411C22semidirect
52. #65408C22semidirect
53. #65407C22semidirect
54. M16×Dic5C22semidirect
55. #65399C22semidirect
56. C2×#3952C22semidirect
57. #65391C22semidirect
58. #65390C22semidirect
59. C2×#3946C22semidirect
60. C2×C8×Dic5C22semidirect
61. #65019C22semidirect
62. #65019C22semidirect
63. #65018C22semidirect
64. #65018C22semidirect
65. #65017C22semidirect
66. #65017C22semidirect
69. #65014C22semidirect
70. #65014C22semidirect
71. #65014C22semidirect
72. #65014C22semidirect
73. #65014C22semidirect
74. #65014C22semidirect
75. #65014C22semidirect
106. #4094D4semidirect
194. #2880D5semidirect
275. #681C2×D4semidirect
281. C2×#168C2×D4semidirect
341. #408C2×D5semidirect
342. #408C2×D5semidirect
344. #407C2×D5semidirect
346. C2×C22⋊C8C2×D5semidirect
385. C22⋊D5#131semidirect
524. C22×C5C2×#131semidirect
532. C2×D5C2×#131semidirect
543. Dic5C2×#131semidirect
707. C5D4×#131semidirect
724. C22D5×#131semidirect

Maximal subgroups

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

subgroupindex
#41×C22⋊D52
C22×#40942
C2×D5×#1312
C5×#28802
#106155242
#106155142
Dic5×#1312
#106103912
#106103902
#106103882
#106103862
#106103592
#106103572
#106103272
C2×#650142
D4×#1315