Finite Group Databasebeta

← #13044714

Subgroups — #13044714

Order 1280.

2756 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
1C2×#66264C211yesmaximal, characteristic, complemented
2C22×#4133C211yesmaximal, characteristic, complemented
3#10618611C211yesmaximal, characteristic
4#10617543C211yesmaximal, characteristic, complemented
5#10617517C211yesmaximal, characteristic, complemented
6#10617311C213yesmaximal, complemented
7#10617310C213yesmaximal, complemented
8#10617259C213yesmaximal, complemented
9#10617258C213yesmaximal, complemented
10#10617229C213yesmaximal, complemented
11#10617225C213yesmaximal, complemented
12#10617185C211yesmaximal, characteristic, complemented
13#10617184C211yesmaximal, characteristic, complemented
14D4×#700C213yesmaximal, complemented
15D5⋊#435C213yesmaximal, complemented
16C2×D5×#41C2211yescharacteristic
17C22×#713C2211yescharacteristic
18#66264—28no—
19C2×#4133—28no—
20C2×#4133C2211yescharacteristic
21C2×#4133C2211yescharacteristic
22C2×#4133C2211yescharacteristic
23C2×#4133C2211yescharacteristic
24C2×#4133C2213yescomplemented
25C2×#4133C2213yescomplemented
26C2×#4131C2213yescomplemented
27C2×#4131C2213yescomplemented
28C2×D5⋊M16C2213yescomplemented
29C22×#700C2213yescomplemented
30C22×#700C2213yescomplemented
31C22×D5⋊C8C2213yescomplemented
32C5×#548C411yescharacteristic
33#66168C411yescharacteristic
34Q8×C22⋊D5C411yescharacteristic
35#66010C413yes—
36#66002C2213yes—
37#65965C413yes—
38#65961C2213yes—
39#65943C413yes—
40#65940C2213yes—
41#65910C411yescharacteristic
42C4×#713C2211yescharacteristic
43#65884C413yes—
44C4×D4×D5C2213yes—
45#65787C2213yescomplemented
46#65787C2213yescomplemented
47#65776C2213yescomplemented
48#65776C2213yescomplemented
49#65773C2213yescomplemented
50#65773C2213yescomplemented
51D4×#170C2216yescomplemented
52#65756C2213yescomplemented
53#65756C2213yescomplemented
54D5⋊(C22⋊C8)C2213yescomplemented
55D5⋊(C22⋊C8)C2213yescomplemented
56#65708C2213yescomplemented
57#65708C2213yescomplemented
58#65705C2216yescomplemented
59#65704C2213yescomplemented
60#65704C2213yescomplemented
61#65701C2213yescomplemented
62#65701C2213yescomplemented
63#65695C2216yescomplemented
64#65694C2213yescomplemented
65#65694C2213yescomplemented
66#65694C2216yescomplemented
67#65693C2211yescharacteristic
68#65693C2213yes—
69#65693C2216yescomplemented
70#65693C2216yescomplemented
71#65692C2216yescomplemented
72#65681C2213yescomplemented
73D5⋊(C4⋊C8)C2213yescomplemented
74C4×#700C2213yescomplemented
75#65676C2213yescomplemented
76#60146—51nomaximal, Sylow
77C2×C5×#41C2×C411yescharacteristic
78C22×C5×Q8C2×C411yescharacteristic
79D5×#41—24no—
80D5×#41—24no—
81C2×#713—24no—
82C2×#713—24no—
83C2×#713C2×C411yescharacteristic
84C2×#713C2×C413yes—
85C2×#713C2313yes—
86C2×#713C2311yescharacteristic
87C2×Q8×D5C2×C411yescharacteristic
88C2×#711C2313yes—
89C2×D4×D5C2×C413yes—
90C2×D4×D5C2×C413yes—
91C2×#709C2×C413yes—
92C22×D20C2×C413yes—
93C22×C4×D5C2313yes—
94C22×C4×D5C2313yes—
95C2×#704C2313yes—
96C2×#704C2313yes—
97C22×#170C2316yes—
98C22×#170C2311yescharacteristic
99C22×#170C2313yes—
100#4133—24no—
101#4133—24no—
102#4133—24no—
103#4133—212no—
104#4133—212no—
105#4133D418yescomplemented
106#4131—212no—
107#4131—212no—
108D5⋊M16—212no—
109C2×#700—212no—
110C2×#700—212no—
111C2×#700C2313yes—
112C2×#700C2313yes—
113C2×#700C2313yes—
114C2×#700C2311yescharacteristic
115C2×#700C2313yes—
116C2×#700C2316yes—
117C2×#700C2313yes—
118C2×D5⋊C8—212no—
119C2×D5⋊C8C2313yes—
120C2×D5⋊C8C2313yes—
121C2×D5⋊C8C2313yes—
122C2×D5⋊C8C2313yes—
123C2×D5⋊C8C2313yes—
124C2×D5⋊C8C2313yes—
125C5×#124C2×C413yes—
126C5×C22⋊Q8C2×C413yes—
127C5×#121C2×C413yes—
128C4×C5×Q8C2×C411yescharacteristic
129C4×C5×D4C2×C413yes—
130#4092C2×C413yes—
131Q8×Dic5C2×C411yescharacteristic
132#4090C2×C413yes—
133#4086C2×C413yes—
134#4084C2×C413yes—
135#4083C2×C416yes—
136D4×Dic5C2313yes—
137#4076C2×C413yes—
138C4×C22⋊D5C2×C413yes—
139C4×C22⋊D5C2×C413yes—
140#4070C2×C413yes—
141#4043C2×C413yes—
142#4041C2×C413yes—
143#4040C2×C416yes—
144#4039C2×C413yes—
145#4039C2313yes—
146#4038C2313yes—
147D5×C4⋊C4C2×C413yes—
148#4030C2×C416yes—
149#4030C2×C416yes—
150#4029C2×C416yes—
151#4028C2×C416yes—
152#4027C2311yescharacteristic
153#4027C2313yes—
154#4027C2316yes—
155D5×C22⋊C4C2×C413yes—
156D5×C22⋊C4C2×C413yes—
157#4021C2×C413yes—
158C4×D20C2×C413yes—
159C4×D20C2×C413yes—
160C42×D5C2313yes—
161C22⋊#170C2313yes—
162C22⋊#170C2311yescharacteristic
163C22⋊#170C2313yes—
164C22⋊#170C2313yes—
165C22⋊#170C2316yes—
166#4004C2313yes—
167#4004C2313yes—
168#4003C2316yes—
169#4003C2311yescharacteristic
170#4003C2313yes—
171#4003C2313yes—
172#4003C2313yes—
173#4002C2311yescharacteristic
174#4002C2313yes—
175#4002C2313yes—
176#4002C2313yes—
177C4⋊#170C2311yescharacteristic
178C4⋊#170C2313yes—
179C4⋊#170C2316yes—
180C4×#170C2316yes—
181C2×#568—51no—
182C22×#131—51no—
183D4×#41—51no—
184#2935—53no—
185D4×M16—53no—
186#2933—53no—
187#2933—53no—
188#2932—53no—
189#2930—53no—
190#2929—53no—
191C2×#435—53no—
192#2906—51no—
193#2880—51no—
194#2880—51no—
195#2875—51no—
196C23×D5C22×C413yes—
197C23×D5C22×C413yes—
198C5×#41—24no—
199C2×C5×Q8—24no—
200C2×C5×Q8C22×C413yes—
201C2×C5×Q8C22×C411yescharacteristic
202C2×C5×D4C22×C413yes—
203C2×C5×D4C22×C413yes—
204C22×C4×C5C22×C413yes—
205C22×C4×C5C22×C413yes—
206C2×C22⋊D5C22×C416yes—
207C2×C22⋊D5C22×C411yescharacteristic
208C2×C22⋊D5C22×C413yes—
209C2×C22⋊D5C22×C416yes—
210C22×Dic5C2411yescharacteristic
211C22×Dic5C2413yes—
212#713—24no—
213#713—212no—
214#713—26no—
215#713—26no—
216#713C2×D414yes—
217#713#4114yes—
218Q8×D5—24no—
219#711—26no—
220#711—26no—
221D4×D5—212no—
222D4×D5—46no—
223#709—212no—
224C2×D20—212no—
225C2×D20C22×C413yes—
226C2×D20C22×C416yes—
227C2×D20C22×C413yes—
228C2×D20C22×C413yes—
229C2×C4×D5—26no—
230C2×C4×D5—26no—
231C2×C4×D5—26no—
232C2×C4×D5—26no—
233C2×C4×D5C22×C413yes—
234C2×C4×D5C22×C413yes—
235C2×C4×D5C22×C413yes—
236C2×C4×D5C22×C413yes—
237C2×C4×D5C22×C413yes—
238C2×C4×D5C22×C413yes—
239C2×C4×D5C2413yes—
240C2×C4×D5C2411yescharacteristic
241C2×C4×D5C2413yes—
242C2×Dic10C22×C413yes—
243#704—26no—
244#704—26no—
245C2×#170—22no—
246C2×#170—26no—
247C2×#170—212no—
248C2×#170C2411yescharacteristic
249C2×#170C2411yescharacteristic
250C2×#170C2411yescharacteristic
251C2×#170C2413yes—
252C2×#170C2413yes—
253C2×#170C2413yes—
254C2×#170C2411yescharacteristic
255C2×#170C2413yes—
256#700—26no—
257#700—26no—
258#700—26no—
259#700—26no—
260#700—212no—
261#700—22no—
262#700C2×D4112yescomplemented
263D5⋊C8—26no—
264D5⋊C8—26no—
265D5⋊C8—26no—
266D5⋊C8—26no—
267D5⋊C8—26no—
268D5⋊C8C2×D4112yescomplemented
269C5×C4⋊C4C22×C413yes—
270C5×C4⋊C4C22×C413yes—
271C5×C22⋊C4C22×C411yescharacteristic
272C5×C22⋊C4C22×C413yes—
273C5×C22⋊C4C22×C416yes—
274C42×C5C22×C413yes—
275C22⋊Dic5C22×C413yes—
276C22⋊Dic5C22×C413yes—
277#685C22×C411yescharacteristic
278#685C22×C413yes—
279#685C22×C416yes—
280#685C22×C416yes—
281#685C22×C413yes—
282#685C22×C413yes—
283C4⋊Dic5C22×C413yes—
284C4⋊Dic5C22×C413yes—
285#683C22×C416yes—
286#683C22×C413yes—
287#683C22×C411yescharacteristic
288C4×Dic5C22×C413yes—
289C4×Dic5C2413yes—
290C4×Dic5C2411yescharacteristic
291C22×#41—51no—
292C22×#41—51no—
293#568—108no—
294C2×#131—51no—
295C2×#131—51no—
296C2×#131—51no—
297C2×#131—51no—
298C2×#131—53no—
299C2×#131—53no—
300C2×#131—53no—
301C2×#131—53no—
302C2×#131—108no—
303C22×M16—53no—
304C22×M16—53no—
305C22×M16—53no—
306C23×C8—53no—
307#550—51no—
308D4×Q8—51no—
309#548—51no—
310#548AGL(1,𝔽5)11yescharacteristic
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—51no—
323#435—53no—
324#435—53no—
325#435—53no—
326#435—53no—
327#435—53no—
328#435—53no—
329#435—53no—
330#435—56no—
331#435—56no—
332#435—56no—
333C8×D4—56no—
334C8×D4—56no—
335#424—53no—
336#424—53no—
337#423—53no—
338C2×C4⋊C8—53no—
339#408—53no—
340#408—53no—
341#408—53no—
342#408—53no—
343#407—53no—
344#407—53no—
345C2×C22⋊C8—53no—
346C2×C22⋊C8—53no—
347#405—53no—
348#405—53no—
349C4×M16—53no—
350C2×#97—53no—
351C23×C5C23×C413yes—
352C23×C5C23×C411yescharacteristic
353C22×D5—26no—
354C22×D5—26no—
355C22×D5—26no—
356C22×D5—43no—
357C22×D5—43no—
358C22×D5—43no—
359C22×D5C23×C411yescharacteristic
360C22×D5C23×C413yes—
361C22×D5C23×C413yes—
362C5×Q8—26no—
363C5×Q8C4×D414yes—
364C5×D4—26no—
365C5×D4—26no—
366C2×C4×C5—26no—
367C2×C4×C5—26no—
368C2×C4×C5C23×C413yes—
369C2×C4×C5C23×C411yescharacteristic
370C2×C4×C5C23×C413yes—
371C2×C4×C5C23×C411yescharacteristic
372C2×C4×C5C23×C413yes—
373C22⋊D5—22no—
374C22⋊D5—212no—
375C22⋊D5—43no—
376C22⋊D5—46no—
377C2×Dic5—21no—
378C2×Dic5—23no—
379C2×Dic5—21no—
380C2×Dic5—23no—
381C2×Dic5C23×C411yescharacteristic
382C2×Dic5C23×C413yes—
383C2×Dic5C23×C413yes—
384C2×Dic5C23×C411yescharacteristic
385C2×Dic5C2511yescharacteristic
386D20—212no—
387D20—26no—
388D20—43no—
389D20C4×D4112yes—
390C4×D5—26no—
391C4×D5—26no—
392C4×D5—26no—
393C4×D5—26no—
394C4×D5—23no—
395C4×D5—21no—
396C4×D5—21no—
397C4×D5—23no—
398C4×D5—43no—
399C4×D5—43no—
400C4×D5C22×D416yes—
401C4×D5C2×#4116yes—
402Dic10—26no—
403#170—21no—
404#170—21no—
405#170—23no—
406#170—23no—
407#170—21no—
408#170—23no—
409#170C22×D412yes—
410#170C22×D416yes—
411C2×#41—51no—
412C2×#41—53no—
413C2×#41—53no—
414C2×#41—51no—
415C2×#41—53no—
416C2×#41—53no—
417C2×#41—104no—
418C2×#41—104no—
419C2×#41—104no—
420C2×#41—104no—
421C2×#41C2×AGL(1,𝔽5)11yescharacteristic
422C22×Q8—51no—
423C22×Q8C2×AGL(1,𝔽5)11yescharacteristic
424C22×D4—53no—
425C22×D4—53no—
426C22×D4—53no—
427C23×C4—53no—
428C23×C4—53no—
429#131—58no—
430#131—1012no—
431#131—1012no—
432#131—1012no—
433#131—1012no—
434#131—104no—
435#131—104no—
436#131—104no—
437C2×M16—53no—
438C2×M16—51no—
439C2×M16—53no—
440C2×M16—53no—
441C2×M16—53no—
442C2×M16—56no—
443C2×M16—53no—
444C2×M16—53no—
445C2×M16—53no—
446C2×M16—1012no—
447C2×M16—1012no—
448C2×M16—1012no—
449C22×C8—53no—
450C22×C8—53no—
451C22×C8—53no—
452C22×C8—53no—
453C22×C8—53no—
454C22×C8—53no—
455C22×C8—51no—
456C22×C8—53no—
457C22×C8—56no—
458C22×C8—1012no—
459C4⋊Q8—53no—
460#127—53no—
461#124—53no—
462#124C2×AGL(1,𝔽5)13yes—
463#123—56no—
464#123—56no—
465C22⋊Q8—53no—
466C22⋊Q8—53no—
467C22⋊Q8—53no—
468C22⋊Q8C2×AGL(1,𝔽5)13yes—
469#121—53no—
470#121—53no—
471#121—53no—
472#121—56no—
473#121—56no—
474#121C2×AGL(1,𝔽5)13yes—
475#120—56no—
476#120—56no—
477C4×Q8—51no—
478C4×Q8C2×AGL(1,𝔽5)11yescharacteristic
479C4×D4—53no—
480C4×D4—53no—
481C4×D4—53no—
482C4×D4—53no—
483C4×D4—53no—
484C4×D4—51no—
485C4×D4—53no—
486C4×D4—56no—
487C4×D4—53no—
488C4×D4—53no—
489C4×D4C2×AGL(1,𝔽5)13yes—
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—56no—
498C4⋊C8—53no—
499C4⋊C8—53no—
500C22⋊C8—51no—
501C22⋊C8—51no—
502C22⋊C8—53no—
503C22⋊C8—53no—
504C22⋊C8—53no—
505C22⋊C8—53no—
506C22⋊C8—53no—
507C22⋊C8—53no—
508C22⋊C8—56no—
509C22⋊C8—56no—
510#97—51no—
511#97—53no—
512#97—53no—
513#97—53no—
514C4×C8—56no—
515C22×C5—21no—
516C22×C5—21no—
517C22×C5—23no—
518C22×C5—23no—
519C22×C5—23no—
520C22×C5#56812yescomplemented
521C22×C5C24×C411yescharacteristic
522C2×D5—23no—
523C2×D5—23no—
524C2×D5—21no—
525C2×D5—23no—
526C2×D5—21no—
527C2×D5—23no—
528C2×D5—23no—
529C2×D5—21no—
530C2×D5—412no—
531C2×D5—86no—
532C2×D5C2×C4×D416yes—
533C4×C5—21no—
534C4×C5—23no—
535C4×C5—23no—
536C4×C5—21no—
537C4×C5C2×C4×D416yes—
538Dic5—23no—
539Dic5—21no—
540Dic5—21no—
541Dic5—23no—
542Dic5C23×D411yescharacteristic
543Dic5C22×#4111yescharacteristic
544C24—53no—
545C24—53no—
546#41—24no—
547#41—54no—
548#41—54no—
549#41—1012no—
550#41—106no—
551#41—106no—
552#41—106no—
553#41—106no—
554#41—1012no—
555#41—104no—
556C2×Q8—24no—
557C2×Q8—53no—
558C2×Q8—104no—
559C2×Q8C22×AGL(1,𝔽5)13yes—
560C2×Q8C22×AGL(1,𝔽5)11yescharacteristic
561C2×D4—51no—
562C2×D4—56no—
563C2×D4—53no—
564C2×D4—56no—
565C2×D4—53no—
566C2×D4—56no—
567C2×D4—53no—
568C2×D4—53no—
569C2×D4—1012no—
570C2×D4—1012no—
571C2×D4—206no—
572C2×D4C22×AGL(1,𝔽5)13yes—
573C2×D4C22×AGL(1,𝔽5)13yes—
574C22×C4—53no—
575C22×C4—51no—
576C22×C4—53no—
577C22×C4—53no—
578C22×C4—51no—
579C22×C4—53no—
580C22×C4—53no—
581C22×C4—53no—
582C22×C4—53no—
583C22×C4—53no—
584C22×C4—53no—
585C22×C4—106no—
586C22×C4—106no—
587C22×C4—106no—
588C22×C4—106no—
589C22×C4C22×AGL(1,𝔽5)13yes—
590C22×C4C22×AGL(1,𝔽5)13yes—
591M16—512no—
592M16—102no—
593M16—106no—
594M16—1012no—
595M16—106no—
596M16—106no—
597M16—106no—
598M16—106no—
599M16—106no—
600C2×C8—53no—
601C2×C8—51no—
602C2×C8—512no—
603C2×C8—53no—
604C2×C8—51no—
605C2×C8—51no—
606C2×C8—51no—
607C2×C8—53no—
608C2×C8—53no—
609C2×C8—102no—
610C2×C8—106no—
611C2×C8—106no—
612C2×C8—106no—
613C2×C8—1012no—
614C2×C8—106no—
615C2×C8—106no—
616C2×C8—106no—
617C4⋊C4—51no—
618C4⋊C4—53no—
619C4⋊C4—53no—
620C4⋊C4—53no—
621C4⋊C4—56no—
622C4⋊C4C22×AGL(1,𝔽5)13yes—
623C4⋊C4C22×AGL(1,𝔽5)13yes—
624C22⋊C4—53no—
625C22⋊C4—53no—
626C22⋊C4—51no—
627C22⋊C4—53no—
628C22⋊C4—53no—
629C22⋊C4—53no—
630C22⋊C4—56no—
631C22⋊C4—56no—
632C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
633C22⋊C4C22×AGL(1,𝔽5)13yes—
634C22⋊C4C22×AGL(1,𝔽5)16yes—
635C42—53no—
636C42—51no—
637C42—53no—
638C42C22×AGL(1,𝔽5)13yes—
639C2×C5—22no—
640C2×C5—43no—
641C2×C5C22×C4×D411yescharacteristic
642C2×C5C2×#56811yescharacteristic
643C2×C5#357311yescharacteristic
644D5—26no—
645D5—43no—
646D5—41no—
647C23—53no—
648C23—51no—
649C23—53no—
650C23—106no—
651C23—106no—
652C23—106no—
653C23—203no—
654C23—203no—
655C23—203no—
656C23C23×AGL(1,𝔽5)13yes—
657C23C23×AGL(1,𝔽5)11yescharacteristic
658Q8—26no—
659Q8—106no—
660Q8D4×AGL(1,𝔽5)14yes—
661D4—26no—
662D4—26no—
663D4—512no—
664D4—1012no—
665D4—1012no—
666D4—102no—
667D4—106no—
668D4—203no—
669D4—203no—
670D4—206no—
671C2×C4—26no—
672C2×C4—26no—
673C2×C4—51no—
674C2×C4—56no—
675C2×C4—56no—
676C2×C4—51no—
677C2×C4—53no—
678C2×C4—51no—
679C2×C4—53no—
680C2×C4—103no—
681C2×C4—101no—
682C2×C4—101no—
683C2×C4—103no—
684C2×C4—106no—
685C2×C4—106no—
686C2×C4—101no—
687C2×C4—103no—
688C2×C4—101no—
689C2×C4—103no—
690C2×C4—106no—
691C2×C4—106no—
692C2×C4—203no—
693C2×C4—203no—
694C2×C4C23×AGL(1,𝔽5)11yescharacteristic
695C2×C4C23×AGL(1,𝔽5)13yes—
696C2×C4C23×AGL(1,𝔽5)11yescharacteristic
697C2×C4C23×AGL(1,𝔽5)13yes—
698C2×C4C23×AGL(1,𝔽5)13yes—
699C8—52no—
700C8—56no—
701C8—101no—
702C8—103no—
703C8—103no—
704C8—101no—
705C8—101no—
706C8—103no—
707C5#6014611yescharacteristic, complemented, Sylow
708C22—21no—
709C22—21no—
710C22—23no—
711C22—23no—
712C22—23no—
713C22—56no—
714C22—103no—
715C22—103no—
716C22—101no—
717C22—103no—
718C22—101no—
719C22—103no—
720C22—103no—
721C22—101no—
722C22—2012no—
723C22—406no—
724C22#6626412yescomplemented
725C22C24×AGL(1,𝔽5)11yescharacteristic
726C4—21no—
727C4—23no—
728C4—23no—
729C4—21no—
730C4—51no—
731C4—51no—
732C4—101no—
733C4—103no—
734C4—101no—
735C4—103no—
736C4C2×D4×AGL(1,𝔽5)16yes—
737C2—22no—
738C2—43no—
739C2—106no—
740C2—203no—
741C2—201no—
742C2C22×D4×AGL(1,𝔽5)11yescharacteristic
743C2C2×#6626411yescharacteristic
744C2#1061941511yescharacteristic
subgroupG/H
center, FrattiniC22C24×AGL(1,𝔽5)
commutator, socleC22×C5C24×C4
FittingC5×#548C4
prime radical#10618611C2
cosocleC2×Dic5C25
hypercenter#548AGL(1,𝔽5)
hypocenterC5#60146
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #548

Complements

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

NH ≅ G/Ntype
1. C2×#66264C2semidirect
2. C22×#4133C2semidirect
4. #10617543C2semidirect
5. #10617517C2semidirect
6. #10617311C2semidirect
7. #10617310C2semidirect
8. #10617259C2semidirect
9. #10617258C2semidirect
10. #10617229C2semidirect
11. #10617225C2semidirect
12. #10617185C2semidirect
13. #10617184C2semidirect
14. D4×#700C2semidirect
15. D5⋊#435C2semidirect
24. C2×#4133C22semidirect
25. C2×#4133C22semidirect
26. C2×#4131C22semidirect
27. C2×#4131C22semidirect
28. C2×D5⋊M16C22semidirect
29. C22×#700C22semidirect
30. C22×#700C22semidirect
31. C22×D5⋊C8C22semidirect
45. #65787C22semidirect
46. #65787C22semidirect
47. #65776C22semidirect
48. #65776C22semidirect
49. #65773C22semidirect
50. #65773C22semidirect
51. D4×#170C22semidirect
52. #65756C22semidirect
53. #65756C22semidirect
54. D5⋊(C22⋊C8)C22semidirect
55. D5⋊(C22⋊C8)C22semidirect
56. #65708C22semidirect
57. #65708C22semidirect
58. #65705C22semidirect
59. #65704C22semidirect
60. #65704C22semidirect
61. #65701C22semidirect
62. #65701C22semidirect
63. #65695C22semidirect
64. #65694C22semidirect
65. #65694C22semidirect
66. #65694C22semidirect
69. #65693C22semidirect
70. #65693C22semidirect
71. #65692C22semidirect
72. #65681C22semidirect
73. D5⋊(C4⋊C8)C22semidirect
74. C4×#700C22semidirect
75. #65676C22semidirect
105. #4133D4semidirect
262. #700C2×D4semidirect
268. D5⋊C8C2×D4semidirect
520. C22×C5#568semidirect
707. C5#60146semidirect
724. C22#66264semidirect

Maximal subgroups

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

subgroupindex
C2×#662642
C22×#41332
#106186112
#106175432
#106175172
#106173112
#106173102
#106172592
#106172582
#106172292
#106172252
#106171852
#106171842
D4×#7002
D5⋊#4352
#601465