Finite Group Databasebeta

← #12963277

Subgroups — #12963277

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×#66084C211yesmaximal, characteristic, complemented
2C2×D5×#131C211yesmaximal, characteristic, complemented
3#41×D20C211yesmaximal, characteristic
4C5×#2906C211yesmaximal, characteristic, complemented
5#10615524C211yesmaximal, characteristic, complemented
6#10615524C211yesmaximal, characteristic, complemented
7#10614242C211yesmaximal, characteristic, complemented
8#10610806C213yesmaximal, complemented
9#10610806C213yesmaximal, complemented
10#10610805C213yesmaximal, complemented
11#10610804C213yesmaximal, complemented
12#10610774C213yesmaximal, complemented
13#10610773C213yesmaximal, complemented
14#10610735C213yesmaximal, complemented
15C2×#65125C213yesmaximal, complemented
16C2×D5×#41C2211yescharacteristic
17C2×D5×#41C2211yescharacteristic
18C2×C5×#131C2211yescharacteristic
19C2×C5×#131C2211yescharacteristic
20C4×C5×#41C2211yescharacteristic
21C2×#4094C2211yescharacteristic
22C2×#4094C2211yescharacteristic
23#66084—28no—
24D5×#131—28no—
25C2×#4053C2213yescomplemented
26C2×#4053C2213yescomplemented
27C2×D5×M16C2213yescomplemented
28C2×D5×M16C2213yescomplemented
29C2×#4047C2213yescomplemented
30C2×#4047C2213yescomplemented
31C22×#676C2213yescomplemented
32C22×C8×D5C2213yescomplemented
33#65911C411yescharacteristic
34#65910C411yescharacteristic
35#65910C411yescharacteristic
36Q8×D20C411yescharacteristic
37#65889C413yes—
38#65888C413yes—
39#65888C413yes—
40D4×D20C413yes—
41#65858C2213yes—
42#65858C2213yes—
43#65811C2213yes—
44C2×C4×D20C2213yes—
45C5×#424C2213yescomplemented
46C5×#424C2213yescomplemented
47C5×#423C2213yescomplemented
48C2×C5×C4⋊C8C2213yescomplemented
49#65418C2213yescomplemented
50#65418C2213yescomplemented
51#65415C2213yescomplemented
52#65415C2213yescomplemented
53#65399C2213yescomplemented
54#65399C2213yescomplemented
55C2×#3952C2213yescomplemented
56C2×#3952C2213yescomplemented
57#65286C2213yescomplemented
58#65286C2213yescomplemented
59C4×#681C2213yescomplemented
60C2×#3935C2213yescomplemented
61#65127C2216yescomplemented
62#65127C2216yescomplemented
63#65125C2211yescharacteristic
64#65125C2213yes—
65#65125C2213yescomplemented
66#65125C2213yescomplemented
67#65125C2213yescomplemented
68#65125C2213yescomplemented
69#65125C2213yescomplemented
70#65125C2213yescomplemented
71#65125C2216yescomplemented
72#65125C2216yescomplemented
73#65125C2216yescomplemented
74#65123C2216yescomplemented
75#65123C2216yescomplemented
76#60146—51nomaximal, Sylow
77C2×C5×#41C2311yescharacteristic
78D5×#41—24no—
79D5×#41—24no—
80D5×#41—24no—
81D5×#41—24no—
82C2×#713C2×C411yescharacteristic
83C2×#713C2×C411yescharacteristic
84C2×Q8×D5C2×C411yescharacteristic
85C2×Q8×D5C2×C411yescharacteristic
86C2×#711C2×C413yes—
87C2×#711C2×C413yes—
88C2×D4×D5C2×C413yes—
89C2×D4×D5C2×C413yes—
90C2×#709C2313yes—
91C2×#709C2313yes—
92C22×D20C2×C413yes—
93C22×C4×D5C2313yes—
94C22×C4×D5C2313yes—
95C5×#131—24no—
96C5×#131—24no—
97C2×C5×M16C2313yes—
98C2×C5×M16C2313yes—
99C22×C5×C8C2313yes—
100C22×C5×C8C2313yes—
101C4×C5×Q8C2×C411yescharacteristic
102C4×C5×Q8C2×C411yescharacteristic
103C4×C5×D4C2×C413yes—
104C4×C5×D4C2×C413yes—
105C5×#117C2313yes—
106C2×C42×C5C2313yes—
107#4094—24no—
108#4094D418yescomplemented
109#4076C2×C416yes—
110#4076C2×C416yes—
111C2×#685C2×C413yes—
112C2×#685C2×C413yes—
113C2×C4⋊Dic5C2×C413yes—
114C2×#681C2313yes—
115C2×#681C2313yes—
116C22×#168C2313yes—
117C22×#168C2313yes—
118#4053—212no—
119#4053—212no—
120D5×M16—212no—
121D5×M16—212no—
122#4047—212no—
123#4047—212no—
124C2×#676—212no—
125C2×#676C2311yescharacteristic
126C2×#676C2313yes—
127C2×#676C2313yes—
128C2×#676C2313yes—
129C2×#676C2316yes—
130C2×C8×D5—212no—
131C2×C8×D5C2311yescharacteristic
132C2×C8×D5C2313yes—
133C2×C8×D5C2313yes—
134C2×C8×D5C2313yes—
135C2×C8×D5C2316yes—
136#4043C2×C413yes—
137#4043C2×C413yes—
138#4043C2×C413yes—
139#4043C2×C413yes—
140#4041C2×C413yes—
141#4041C2×C413yes—
142#4041C2×C413yes—
143#4041C2×C413yes—
144#4032C2×C416yes—
145#4032C2×C416yes—
146#4028C2×C416yes—
147#4028C2×C416yes—
148#4021C2×C413yes—
149#4021C2×C413yes—
150#4020C2×C413yes—
151C4×D20C2×C413yes—
152C4×D20C2×C413yes—
153C4×D20C2×C413yes—
154C4×D20C2×C413yes—
155C4×D20C2311yescharacteristic
156C4×D20C2313yes—
157C4×D20C2313yes—
158C4×D20C2313yes—
159C4×D20C2316yes—
160#4015C2×C413yes—
161C5×C4⋊C8C2311yescharacteristic
162C5×C4⋊C8C2313yes—
163C5×C4⋊C8C2313yes—
164C5×C4⋊C8C2313yes—
165C5×C4⋊C8C2316yes—
166#3952C2313yes—
167#3952C2313yes—
168#3952C2316yes—
169#3952C2316yes—
170#3952C2311yescharacteristic
171#3952C2311yescharacteristic
172#3952C2313yes—
173#3952C2313yes—
174#3952C2313yes—
175#3952C2313yes—
176#3935C2313yes—
177#3935C2313yes—
178#3935C2311yescharacteristic
179#3935C2313yes—
180C4×#168C2316yes—
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#2906D511yescharacteristic, complemented
193#2880—51no—
194#2880—51no—
195#2875—51no—
196C23×D5C22×C413yes—
197C23×D5C22×C413yes—
198C5×#41C2×D414yes—
199C5×#41#4114yes—
200C2×C5×Q8C22×C411yescharacteristic
201C2×C5×D4C22×C413yes—
202C22×C4×C5C22×C413yes—
203C22×C4×C5C22×C413yes—
204C22×C4×C5C2413yes—
205C2×C22⋊D5C22×C416yes—
206C2×C22⋊D5C22×C416yes—
207C22×Dic5C22×C413yes—
208C22×Dic5C22×C413yes—
209#713—24no—
210#713—24no—
211Q8×D5—24no—
212Q8×D5—24no—
213#711—212no—
214#711—212no—
215D4×D5—212no—
216D4×D5—212no—
217#709—26no—
218#709—26no—
219#709—26no—
220#709—26no—
221C2×D20—46no—
222C2×D20C22×C411yescharacteristic
223C2×D20C22×C413yes—
224C2×D20C22×C413yes—
225C2×D20C22×C413yes—
226C2×D20C22×C413yes—
227C2×D20C22×C413yes—
228C2×D20C22×C416yes—
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×D5C2411yescharacteristic
238C2×C4×D5C2411yescharacteristic
239C2×C4×D5C2413yes—
240C2×C4×D5C2413yes—
241C2×Dic10C22×C413yes—
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—
251C5×C4⋊C4C22×C413yes—
252C5×C4⋊C4C22×C413yes—
253C5×C22⋊C4C22×C416yes—
254C42×C5C22×C413yes—
255C42×C5C22×C413yes—
256C42×C5C2411yescharacteristic
257C42×C5C2413yes—
258#685C22×C411yescharacteristic
259#685C22×C411yescharacteristic
260#685C22×C413yes—
261#685C22×C413yes—
262#685C22×C413yes—
263#685C22×C413yes—
264#685C22×C413yes—
265#685C22×C413yes—
266#685C22×C416yes—
267#685C22×C416yes—
268C4⋊Dic5C22×C413yes—
269C4⋊Dic5C22×C416yes—
270C4⋊Dic5C22×C411yescharacteristic
271C4⋊Dic5C22×C413yes—
272C4⋊Dic5C22×C413yes—
273#681—26no—
274#681C2×D4112yescomplemented
275C2×#168—26no—
276C2×#168C2×D4112yescomplemented
277C2×#168C2413yes—
278C2×#168C2411yescharacteristic
279C2×#168C2413yes—
280C2×#168C2411yescharacteristic
281#676—22no—
282#676—26no—
283#676—26no—
284#676—26no—
285#676—212no—
286C8×D5—22no—
287C8×D5—26no—
288C8×D5—26no—
289C8×D5—26no—
290C8×D5—212no—
291C22×#41—51no—
292C22×#41—51no—
293#568—108no—
294C2×#131—51no—
295C2×#131—51no—
296C2×#131—53no—
297C2×#131—53no—
298C2×#131—53no—
299C2×#131—53no—
300C2×#131—108no—
301C2×#131C2×D511yescharacteristic
302C2×#131C2×D511yescharacteristic
303C22×M16—53no—
304C22×M16—53no—
305C22×M16—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×#41C2×D511yescharacteristic
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#424C2×D513yescomplemented
336#424C2×D513yescomplemented
337#423C2×D513yescomplemented
338C2×C4⋊C8C2×D513yescomplemented
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—
352C22×D5—26no—
353C22×D5—26no—
354C22×D5—26no—
355C22×D5—43no—
356C22×D5—43no—
357C22×D5—43no—
358C22×D5C23×C411yescharacteristic
359C22×D5C23×C413yes—
360C22×D5C23×C413yes—
361C22×D5C23×C411yescharacteristic
362C5×Q8C4×D414yes—
363C5×D4C4×D4112yes—
364C2×C4×C5—43no—
365C2×C4×C5—43no—
366C2×C4×C5C23×C411yescharacteristic
367C2×C4×C5C23×C413yes—
368C2×C4×C5C23×C413yes—
369C2×C4×C5C23×C411yescharacteristic
370C2×C4×C5C23×C413yes—
371C2×C4×C5C22×D416yes—
372C2×C4×C5C2×#4116yes—
373C2×C4×C5C2511yescharacteristic
374C22⋊D5—212no—
375C22⋊D5—212no—
376C2×Dic5—26no—
377C2×Dic5—26no—
378C2×Dic5C23×C413yes—
379C2×Dic5C23×C413yes—
380C2×Dic5C23×C411yescharacteristic
381C2×Dic5C23×C411yescharacteristic
382D20—22no—
383D20—26no—
384D20—26no—
385D20—26no—
386D20—43no—
387D20—43no—
388D20—46no—
389C4×D5—26no—
390C4×D5—26no—
391C4×D5—26no—
392C4×D5—26no—
393C4×D5—21no—
394C4×D5—23no—
395C4×D5—23no—
396C4×D5—21no—
397C4×D5—21no—
398C4×D5—21no—
399C4×D5—23no—
400C4×D5—23no—
401Dic10—26no—
402Dic10—26no—
403C5×C8—21no—
404C5×C8—23no—
405C5×C8—23no—
406C5×C8—21no—
407#168—21no—
408#168—23no—
409#168C22×D412yes—
410#168C22×D416yes—
411C2×#41—51no—
412C2×#41—51no—
413C2×#41—53no—
414C2×#41—53no—
415C2×#41—53no—
416C2×#41—53no—
417C2×#41—104no—
418C2×#41—104no—
419C2×#41—104no—
420C2×#41—104no—
421C2×#41C22×D511yescharacteristic
422C22×Q8—51no—
423C22×Q8—51no—
424C22×D4—53no—
425C22×D4—53no—
426C22×D4—53no—
427C23×C4—53no—
428C23×C4—53no—
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—51no—
440C2×M16—53no—
441C2×M16—53no—
442C2×M16—56no—
443C2×M16—53no—
444C2×M16—1012no—
445C2×M16—1012no—
446C2×M16—1012no—
447C2×M16C22×D513yes—
448C2×M16C22×D513yes—
449C22×C8—53no—
450C22×C8—53no—
451C22×C8—51no—
452C22×C8—53no—
453C22×C8—53no—
454C22×C8—53no—
455C22×C8—56no—
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—56no—
470#121—56no—
471#121—53no—
472#121—53no—
473#121—53no—
474#121—53no—
475#120—56no—
476#120—56no—
477C4×Q8C4×D511yescharacteristic
478C4×Q8C4×D511yescharacteristic
479C4×D4—53no—
480C4×D4—53no—
481C4×D4—53no—
482C4×D4—53no—
483C4×D4—51no—
484C4×D4—53no—
485C4×D4—53no—
486C4×D4—53no—
487C4×D4—56no—
488C4×D4C4×D513yes—
489C4×D4C4×D513yes—
490#117C22×D513yes—
491C2×C4⋊C4—53no—
492C2×C22⋊C4—53no—
493C2×C22⋊C4—53no—
494C2×C42C22×D513yes—
495C4⋊C8C22×D511yescharacteristic
496C4⋊C8C22×D513yes—
497C4⋊C8C22×D513yes—
498C4⋊C8C22×D513yes—
499C4⋊C8C22×D516yes—
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—23no—
516C22×C5—23no—
517C22×C5C2×C4×D416yes—
518C22×C5C24×C411yescharacteristic
519C2×D5—21no—
520C2×D5—21no—
521C2×D5—21no—
522C2×D5—23no—
523C2×D5—23no—
524C2×D5—21no—
525C2×D5—23no—
526C2×D5—23no—
527C2×D5—23no—
528C2×D5—23no—
529C2×D5—21no—
530C2×D5—412no—
531C2×D5—86no—
532C2×D5#56812yescomplemented
533C4×C5—21no—
534C4×C5—23no—
535C4×C5—23no—
536C4×C5—21no—
537C4×C5C2×C4×D416yes—
538C4×C5C23×D411yescharacteristic
539C4×C5C22×#4111yescharacteristic
540Dic5—23no—
541Dic5—23no—
542Dic5—21no—
543Dic5—21no—
544C24—53no—
545C24—53no—
546#41—104no—
547#41—104no—
548#41—1012no—
549#41—1012no—
550#41—106no—
551#41—106no—
552#41—106no—
553#41—106no—
554#41D4×D514yes—
555#41#71314yes—
556C2×Q8—53no—
557C2×Q8—53no—
558C2×Q8—104no—
559C2×Q8—104no—
560C2×Q8C2×C4×D511yescharacteristic
561C2×D4—56no—
562C2×D4—56no—
563C2×D4—51no—
564C2×D4—53no—
565C2×D4—53no—
566C2×D4—53no—
567C2×D4—53no—
568C2×D4—53no—
569C2×D4—56no—
570C2×D4—1012no—
571C2×D4—1012no—
572C2×D4—206no—
573C2×D4C2×C4×D513yes—
574C22×C4—53no—
575C22×C4—53no—
576C22×C4—53no—
577C22×C4—53no—
578C22×C4—53no—
579C22×C4—53no—
580C22×C4—51no—
581C22×C4—53no—
582C22×C4—53no—
583C22×C4—51no—
584C22×C4—106no—
585C22×C4—106no—
586C22×C4—106no—
587C22×C4—106no—
588C22×C4C2×C4×D513yes—
589C22×C4C2×C4×D513yes—
590C22×C4C23×D513yes—
591M16—26no—
592M16—26no—
593M16—512no—
594M16—102no—
595M16—106no—
596M16—106no—
597M16—106no—
598M16—1012no—
599M16—106no—
600C2×C8—26no—
601C2×C8—26no—
602C2×C8—512no—
603C2×C8—53no—
604C2×C8—51no—
605C2×C8—53no—
606C2×C8—51no—
607C2×C8—102no—
608C2×C8—106no—
609C2×C8—106no—
610C2×C8—106no—
611C2×C8—1012no—
612C2×C8—106no—
613C2×C8C23×D511yescharacteristic
614C2×C8C23×D513yes—
615C2×C8C23×D513yes—
616C2×C8C23×D511yescharacteristic
617C4⋊C4—51no—
618C4⋊C4—53no—
619C4⋊C4—53no—
620C4⋊C4—53no—
621C4⋊C4—56no—
622C4⋊C4C2×C4×D513yes—
623C4⋊C4C2×C4×D513yes—
624C22⋊C4—51no—
625C22⋊C4—51no—
626C22⋊C4—53no—
627C22⋊C4—53no—
628C22⋊C4—53no—
629C22⋊C4—53no—
630C22⋊C4—53no—
631C22⋊C4—53no—
632C22⋊C4—56no—
633C22⋊C4—56no—
634C22⋊C4C2×C4×D516yes—
635C42C2×C4×D513yes—
636C42C2×C4×D513yes—
637C42C23×D513yes—
638C42C23×D511yescharacteristic
639C2×C5—26no—
640C2×C5C22×C4×D411yescharacteristic
641C2×C5C2×#56811yescharacteristic
642C2×C5#357311yescharacteristic
643D5—22no—
644D5—43no—
645D5—43no—
646D5—41no—
647C23—51no—
648C23—51no—
649C23—53no—
650C23—53no—
651C23—106no—
652C23—106no—
653C23—106no—
654C23—203no—
655C23—203no—
656C23—203no—
657C23C22×C4×D513yes—
658Q8—106no—
659Q8—106no—
660Q8#403914yes—
661D4—102no—
662D4—106no—
663D4—1012no—
664D4—1012no—
665D4—106no—
666D4—106no—
667D4—203no—
668D4—203no—
669D4—206no—
670D4#4039112yes—
671C2×C4—43no—
672C2×C4—43no—
673C2×C4—51no—
674C2×C4—51no—
675C2×C4—53no—
676C2×C4—53no—
677C2×C4—106no—
678C2×C4—106no—
679C2×C4—106no—
680C2×C4—106no—
681C2×C4—106no—
682C2×C4—106no—
683C2×C4—101no—
684C2×C4—103no—
685C2×C4—103no—
686C2×C4—101no—
687C2×C4—101no—
688C2×C4—101no—
689C2×C4—103no—
690C2×C4—103no—
691C2×C4C22×C4×D511yescharacteristic
692C2×C4C22×C4×D511yescharacteristic
693C2×C4C22×C4×D513yes—
694C2×C4C22×C4×D513yes—
695C2×C4C22×C4×D513yes—
696C2×C4C2×D4×D516yes—
697C2×C4C2×#71316yes—
698C2×C4C24×D511yescharacteristic
699C8—21no—
700C8—21no—
701C8—23no—
702C8—23no—
703C8—52no—
704C8—56no—
705C8—101no—
706C8—103no—
707C5#6014611yescharacteristic, complemented, Sylow
708C22—23no—
709C22—23no—
710C22—52no—
711C22—101no—
712C22—101no—
713C22—101no—
714C22—103no—
715C22—103no—
716C22—103no—
717C22—103no—
718C22—101no—
719C22—101no—
720C22—103no—
721C22—103no—
722C22—2012no—
723C22—406no—
724C22C2×#403916yes—
725C22C23×C4×D511yescharacteristic
726C4—21no—
727C4—23no—
728C4—21no—
729C4—23no—
730C4—101no—
731C4—101no—
732C4—103no—
733C4—103no—
734C4C2×#403916yes—
735C4C22×D4×D511yescharacteristic
736C4C22×#71311yescharacteristic
737C2—26no—
738C2—102no—
739C2—203no—
740C2—201no—
741C2—203no—
742C2C22×#403911yescharacteristic
743C2#1061906111yescharacteristic
744C2D5×#56811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D5
commutator, socleC22×C5C24×C4
FittingC5×#2906C2
prime radical#41×D20C2
cosocleC2×C4×C5C25
hypercenter#2906D5
hypocenterC5#60146
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
1. C2×#66084C2semidirect
2. C2×D5×#131C2semidirect
4. C5×#2906C2semidirect
5. #10615524C2semidirect
6. #10615524C2semidirect
7. #10614242C2semidirect
8. #10610806C2semidirect
9. #10610806C2semidirect
10. #10610805C2semidirect
11. #10610804C2semidirect
12. #10610774C2semidirect
13. #10610773C2semidirect
14. #10610735C2semidirect
15. C2×#65125C2semidirect
25. C2×#4053C22semidirect
26. C2×#4053C22semidirect
27. C2×D5×M16C22semidirect
28. C2×D5×M16C22semidirect
29. C2×#4047C22semidirect
30. C2×#4047C22semidirect
31. C22×#676C22semidirect
32. C22×C8×D5C22semidirect
45. C5×#424C22semidirect
46. C5×#424C22semidirect
47. C5×#423C22semidirect
48. C2×C5×C4⋊C8C22semidirect
49. #65418C22semidirect
50. #65418C22semidirect
51. #65415C22semidirect
52. #65415C22semidirect
53. #65399C22semidirect
54. #65399C22semidirect
55. C2×#3952C22semidirect
56. C2×#3952C22semidirect
57. #65286C22semidirect
58. #65286C22semidirect
59. C4×#681C22semidirect
60. C2×#3935C22semidirect
61. #65127C22semidirect
62. #65127C22semidirect
65. #65125C22semidirect
66. #65125C22semidirect
67. #65125C22semidirect
68. #65125C22semidirect
69. #65125C22semidirect
70. #65125C22semidirect
71. #65125C22semidirect
72. #65125C22semidirect
73. #65125C22semidirect
74. #65123C22semidirect
75. #65123C22semidirect
108. #4094D4semidirect
192. #2906D5semidirect
274. #681C2×D4semidirect
276. C2×#168C2×D4semidirect
335. #424C2×D5semidirect
336. #424C2×D5semidirect
337. #423C2×D5semidirect
338. C2×C4⋊C8C2×D5semidirect
532. C2×D5#568semidirect
707. C5#60146semidirect

Maximal subgroups

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

subgroupindex
C2×#660842
C2×D5×#1312
#41×D202
C5×#29062
#106155242
#106142422
#106108062
#106108052
#106108042
#106107742
#106107732
#106107352
C2×#651252
#601465