Finite Group Databasebeta

← #12117454

Subgroups — #12117454

Order 1280.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#435C211yesmaximal, characteristic
2C2×#65410C211yesmaximal, characteristic, complemented
3C22×#3949C211yesmaximal, characteristic, complemented
4#10614066C211yesmaximal, characteristic
5D4×C4⋊Dic5C211yesmaximal, characteristic
6#10602781C211yesmaximal, characteristic, complemented
7#10602764C211yesmaximal, characteristic, complemented
8#10601248C211yesmaximal, characteristic, complemented
9#10601247C211yesmaximal, characteristic, complemented
10#10600722C211yesmaximal, characteristic, complemented
11#10600721C211yesmaximal, characteristic, complemented
12#10600721C211yesmaximal, characteristic, complemented
13#10600720C211yesmaximal, characteristic, complemented
14#10600609C211yesmaximal, characteristic, complemented
15#10600607C211yesmaximal, characteristic, complemented
16C22×C5×M16C2211yescharacteristic
17C23×C5×C8C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×D4×Dic5—21no—
20C2×#4072C2211yescharacteristic
21C22×C4⋊Dic5C2211yescharacteristic
22C22×C4⋊Dic5C2211yescharacteristic
23C22×C4⋊Dic5C2211yescharacteristic
24C5×#435C418yescomplemented
25C2×C5×C4⋊C8C2211yescharacteristic
26C2×C5×C22⋊C8C2211yescharacteristic
27C2×C5×C22⋊C8C2211yescharacteristic
28C2×C5×#97C2211yescharacteristic
29#65509—21no—
30#65501C2211yescharacteristic
31#65501C2211yescharacteristic
32#65501C2211yescharacteristic
33#65501C2211yescharacteristic
34#65410—24no—
35C2×#3950C2211yescharacteristic
36C2×#3950C2211yescharacteristic
37C2×#3950C2211yescharacteristic
38C2×#3950C2211yescharacteristic
39C2×#3949—24no—
40C2×#3949C2211yescharacteristic
41C2×#3949C2211yescharacteristic
42C2×#3949C2211yescharacteristic
43C2×#3949C2211yescharacteristic
44C2×#3949C2211yescharacteristic
45C2×#3949C2211yescharacteristic
46#65274—21no—
47#65270—21no—
48#65240—21no—
49#65239—21no—
50#65239—21no—
51C22⋊C4×Dic5—21no—
52#65225C2211yescharacteristic
53#65224C2211yescharacteristic
54C4×C4⋊Dic5C2211yescharacteristic
55C4×C4⋊Dic5C2211yescharacteristic
56#64771C2211yescharacteristic
57#64771C2211yescharacteristic
58#64771C2211yescharacteristic
59#64771C2211yescharacteristic
60#64771C2211yescharacteristic
61#64771C2211yescharacteristic
62#22659—51nomaximal, Sylow
63C22×C5×D4D411yescharacteristic
64C23×C4×C5C2311yescharacteristic
65C23×C4×C5C2311yescharacteristic
66C23×Dic5—21no—
67C23×Dic5—21no—
68C23×Dic5—21no—
69C2×C5×M16—22no—
70C2×C5×M16—22no—
71C2×C5×M16C2×C414yescomplemented
72C22×C5×C8—22no—
73C22×C5×C8—22no—
74C22×C5×C8C2×C414yescomplemented
75C22×C5×C8C2311yescharacteristic
76C22×C5×C8C2311yescharacteristic
77C22×C5×C8C2311yescharacteristic
78C22×C5×C8C2311yescharacteristic
79C4×C5×D4C2×C414yes—
80C4×C5×D4Q814yes—
81C2×C5×C4⋊C4D411yescharacteristic
82C2×C5×C22⋊C4D411yescharacteristic
83C2×C5×C22⋊C4D411yescharacteristic
84C2×C42×C5C2311yescharacteristic
85C2×C22⋊Dic5—21no—
86C2×C22⋊Dic5—21no—
87C2×C22⋊Dic5—21no—
88C2×C22⋊Dic5—21no—
89C2×C22⋊Dic5—21no—
90D4×Dic5—44no—
91#4072—22no—
92#4072—41no—
93C2×C4⋊Dic5—22no—
94C2×C4⋊Dic5—22no—
95C2×C4⋊Dic5—22no—
96C2×C4⋊Dic5—21no—
97C2×C4⋊Dic5—21no—
98C2×C4⋊Dic5—21no—
99C2×C4⋊Dic5—21no—
100C2×C4⋊Dic5—21no—
101C2×C4⋊Dic5—41no—
102C2×C4⋊Dic5—41no—
103C2×C4⋊Dic5—41no—
104C2×C4⋊Dic5C2311yescharacteristic
105C2×C4⋊Dic5C2311yescharacteristic
106C2×C4⋊Dic5C2311yescharacteristic
107C2×C4⋊Dic5C2311yescharacteristic
108C2×C4⋊Dic5C2311yescharacteristic
109C2×C4⋊Dic5C2311yescharacteristic
110C2×C4⋊Dic5C2311yescharacteristic
111C2×C4⋊Dic5C2311yescharacteristic
112C2×C4×Dic5—21no—
113C2×C4×Dic5—21no—
114C2×C4×Dic5—21no—
115C5×C4⋊C8C2×C414yescomplemented
116C5×C22⋊C8C2×C414yescomplemented
117C5×C22⋊C8C2×C414yescomplemented
118C5×#97C2×C414yescomplemented
119#3963—21no—
120#3963—21no—
121#3963—21no—
122#3963—21no—
123#3963—21no—
124#3963—21no—
125#3963—21no—
126#3963—21no—
127#3950—22no—
128#3950—22no—
129#3950—22no—
130#3950—41no—
131#3949—22no—
132#3949—22no—
133#3949—22no—
134#3949—22no—
135#3949—41no—
136#3949D414yescomplemented
137C2×#435D511yescharacteristic
138C2×#428—51no—
139C22×#106—51no—
140#2352—51no—
141D4×C4⋊C4—51no—
142#1949—51no—
143#1948—51no—
144#1854—51no—
145#1853—51no—
146#1853—51no—
147#1852—51no—
148#1847—51no—
149#1809—51no—
150#1808—51no—
151#1776—51no—
152C24×C5C2×D411yescharacteristic
153C24×C5C2×D411yescharacteristic
154C2×C5×D4—22no—
155C2×C5×D4—22no—
156C2×C5×D4C4⋊C414yes—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—21no—
160C22×C4×C5—21no—
161C22×C4×C5—21no—
162C22×C4×C5—21no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5C22×C412yes—
166C22×C4×C5C22×C412yes—
167C22×C4×C5C2×D411yescharacteristic
168C22×C4×C5C2×D411yescharacteristic
169C22×C4×C5C2×D411yescharacteristic
170C22×C4×C5C2×D411yescharacteristic
171C22×C4×C5C2×Q812yes—
172C22×C4×C5C2×Q812yes—
173C22×C4×C5C2411yescharacteristic
174C22×Dic5—21no—
175C22×Dic5—21no—
176C22×Dic5—21no—
177C22×Dic5—21no—
178C22×Dic5—21no—
179C22×Dic5—21no—
180C22×Dic5—21no—
181C22×Dic5—21no—
182C22×Dic5—42no—
183C22×Dic5—42no—
184C22×Dic5—42no—
185C22×Dic5—42no—
186C22×Dic5—42no—
187C22×Dic5—42no—
188C22×Dic5—81no—
189C22×Dic5—81no—
190C22×Dic5—81no—
191C5×M16—28no—
192C2×C5×C8—21no—
193C2×C5×C8—21no—
194C2×C5×C8—21no—
195C2×C5×C8—21no—
196C2×C5×C8—21no—
197C2×C5×C8—21no—
198C2×C5×C8—28no—
199C2×C5×C8C22×C412yes—
200C2×C5×C8C22×C412yes—
201C2×C5×C8C22×C412yes—
202C2×C5×C8C22×C412yes—
203C2×C5×C8C2×D412yes—
204C2×C5×C8#4112yes—
205C5×C4⋊C4C4⋊C414yes—
206C5×C22⋊C4C4⋊C414yes—
207C5×C22⋊C4C4⋊C414yes—
208C42×C5C22×C412yes—
209C42×C5C2×Q812yes—
210C22⋊Dic5—42no—
211C22⋊Dic5—42no—
212C22⋊Dic5—42no—
213C22⋊Dic5—42no—
214C22⋊Dic5—81no—
215C4⋊Dic5—21no—
216C4⋊Dic5—21no—
217C4⋊Dic5—21no—
218C4⋊Dic5—21no—
219C4⋊Dic5—21no—
220C4⋊Dic5—21no—
221C4⋊Dic5—21no—
222C4⋊Dic5—21no—
223C4⋊Dic5—21no—
224C4⋊Dic5—21no—
225C4⋊Dic5—21no—
226C4⋊Dic5—21no—
227C4⋊Dic5—21no—
228C4⋊Dic5—21no—
229C4⋊Dic5—42no—
230C4⋊Dic5—42no—
231C4⋊Dic5—42no—
232C4⋊Dic5—42no—
233C4⋊Dic5—81no—
234C4⋊Dic5C2×D412yes—
235C4⋊Dic5C2×D412yes—
236C4×Dic5—42no—
237C4×Dic5—42no—
238C4×Dic5—81no—
239C22×M16C2×D511yescharacteristic
240C23×C8C2×D511yescharacteristic
241C2×C4×D4—101no—
242C2×C4×D4C2×D511yescharacteristic
243C2×#117—51no—
244C22×C4⋊C4—51no—
245C22×C4⋊C4—51no—
246C22×C4⋊C4—51no—
247#435Dic518yescomplemented
248#428—104no—
249C2×#107—51no—
250C2×#107—51no—
251C2×#107—51no—
252C2×#107—51no—
253C2×#106—51no—
254C2×#106—51no—
255C2×#106—51no—
256C2×#106—51no—
257C2×#106—51no—
258C2×#106—51no—
259C2×#106—104no—
260C2×C4⋊C8C2×D511yescharacteristic
261C2×C22⋊C8C2×D511yescharacteristic
262C2×C22⋊C8C2×D511yescharacteristic
263C2×#97C2×D511yescharacteristic
264#389—101no—
265#388—101no—
266#387—101no—
267#386—101no—
268#385—101no—
269#385—101no—
270#384—51no—
271#382—51no—
272#380—51no—
273#380—51no—
274#380—51no—
275#380—51no—
276C4×C4⋊C4—51no—
277C4×C4⋊C4—51no—
278C4×C22⋊C4—101no—
279#340—51no—
280#340—51no—
281#340—51no—
282#340—51no—
283#340—51no—
284#340—51no—
285C23×C5—21no—
286C23×C5—21no—
287C23×C5—21no—
288C23×C5—21no—
289C23×C5—21no—
290C23×C5—21no—
291C23×C5—21no—
292C23×C5—21no—
293C23×C5—21no—
294C23×C5—21no—
295C23×C5C2×C4⋊C412yes—
296C23×C5C2×C4⋊C412yes—
297C23×C5AGL(1,ℤ/8)12yes—
298C23×C5#13712yes—
299C23×C5C22×D411yescharacteristic
300C5×D4—28no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—22no—
310C2×C4×C5—22no—
311C2×C4×C5—22no—
312C2×C4×C5—22no—
313C2×C4×C5—22no—
314C2×C4×C5—22no—
315C2×C4×C5—22no—
316C2×C4×C5—22no—
317C2×C4×C5C2×C4⋊C412yes—
318C2×C4×C5C2×C4⋊C412yes—
319C2×C4×C5C2×C4⋊C412yes—
320C2×C4×C5C2×C4⋊C412yes—
321C2×C4×C5C23×C411yescharacteristic
322C2×C4×C5C22×D411yescharacteristic
323C2×C4×C5C22×Q811yescharacteristic
324C2×C4×C5C2×#4111yescharacteristic
325C2×C4×C5H(5,𝔽2)11yescharacteristic
326C2×C4×C52−1+411yescharacteristic
327C2×Dic5—22no—
328C2×Dic5—22no—
329C2×Dic5—41no—
330C2×Dic5—41no—
331C2×Dic5—41no—
332C2×Dic5—41no—
333C2×Dic5—41no—
334C2×Dic5—41no—
335C2×Dic5—41no—
336C2×Dic5—41no—
337C2×Dic5—41no—
338C2×Dic5—41no—
339C2×Dic5—41no—
340C2×Dic5—41no—
341C2×Dic5—41no—
342C2×Dic5—41no—
343C2×Dic5—41no—
344C2×Dic5—41no—
345C2×Dic5—41no—
346C2×Dic5—41no—
347C2×Dic5—41no—
348C2×Dic5—41no—
349C2×Dic5—41no—
350C2×Dic5—41no—
351C2×Dic5—84no—
352C2×Dic5—84no—
353C2×Dic5—84no—
354C5×C8—22no—
355C5×C8—22no—
356C5×C8—22no—
357C5×C8C4×D414yescomplemented
358C22×D4D2011yescharacteristic
359C23×C4—101no—
360C23×C4—101no—
361C23×C4—101no—
362C23×C4C22×D511yescharacteristic
363C23×C4C22×D511yescharacteristic
364C2×M16—22no—
365C2×M16—22no—
366C2×M16C2×Dic514yescomplemented
367C22×C8—22no—
368C22×C8—22no—
369C22×C8C2×Dic514yescomplemented
370C22×C8C22×D511yescharacteristic
371C22×C8C22×D511yescharacteristic
372C22×C8C22×D511yescharacteristic
373C22×C8C22×D511yescharacteristic
374C4×D4—204no—
375C4×D4Dic1014yes—
376C4×D4C2×Dic514yes—
377#117—102no—
378#117—201no—
379C2×C4⋊C4—51no—
380C2×C4⋊C4—51no—
381C2×C4⋊C4—51no—
382C2×C4⋊C4—51no—
383C2×C4⋊C4—51no—
384C2×C4⋊C4—51no—
385C2×C4⋊C4—51no—
386C2×C4⋊C4—51no—
387C2×C4⋊C4—102no—
388C2×C4⋊C4—102no—
389C2×C4⋊C4—102no—
390C2×C4⋊C4—101no—
391C2×C4⋊C4—101no—
392C2×C4⋊C4—101no—
393C2×C4⋊C4—101no—
394C2×C4⋊C4—101no—
395C2×C4⋊C4—201no—
396C2×C4⋊C4—201no—
397C2×C4⋊C4—201no—
398C2×C4⋊C4D2011yescharacteristic
399C2×C22⋊C4—101no—
400C2×C22⋊C4—101no—
401C2×C22⋊C4—101no—
402C2×C22⋊C4—101no—
403C2×C22⋊C4—101no—
404C2×C22⋊C4D2011yescharacteristic
405C2×C22⋊C4D2011yescharacteristic
406C2×C42—101no—
407C2×C42—101no—
408C2×C42—101no—
409C2×C42C22×D511yescharacteristic
410#107—102no—
411#107—102no—
412#107—102no—
413#107—201no—
414#106—54no—
415#106—102no—
416#106—102no—
417#106—102no—
418#106—102no—
419#106—201no—
420C4⋊C8C2×Dic514yescomplemented
421C22⋊C8C2×Dic514yescomplemented
422C22⋊C8C2×Dic514yescomplemented
423#97C2×Dic514yescomplemented
424#95—101no—
425#95—101no—
426#95—101no—
427#95—101no—
428#95—101no—
429#95—101no—
430#95—101no—
431#95—101no—
432C22×C5—22no—
433C22×C5—22no—
434C22×C5—22no—
435C22×C5—22no—
436C22×C5—22no—
437C22×C5—22no—
438C22×C5—22no—
439C22×C5—22no—
440C22×C5—22no—
441C22×C5—41no—
442C22×C5—41no—
443C22×C5—41no—
444C22×C5—41no—
445C22×C5#42814yescomplemented
446C22×C5C22×C4⋊C411yescharacteristic
447C22×C5D4211yescharacteristic
448C22×C5#54711yescharacteristic
449C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
450C22×C5C2×#13711yescharacteristic
451C22×C5#57711yescharacteristic
452C22×C5#57711yescharacteristic
453C4×C5—22no—
454C4×C5—22no—
455C4×C5—22no—
456C4×C5—22no—
457C4×C5C2×C4×D411yescharacteristic
458C4×C5#52011yescharacteristic
459C4×C5D4×Q811yescharacteristic
460C4×C5#55411yescharacteristic
461Dic5—42no—
462Dic5—42no—
463Dic5—81no—
464Dic5—81no—
465Dic5—81no—
466Dic5—81no—
467Dic5—81no—
468Dic5—81no—
469C24C2×D2011yescharacteristic
470C24C2×D2011yescharacteristic
471C2×D4—22no—
472C2×D4—22no—
473C2×D4C4⋊Dic514yes—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—101no—
483C22×C4—101no—
484C22×C4—101no—
485C22×C4—101no—
486C22×C4—101no—
487C22×C4—101no—
488C22×C4—101no—
489C22×C4—101no—
490C22×C4—202no—
491C22×C4—202no—
492C22×C4—202no—
493C22×C4—202no—
494C22×C4—202no—
495C22×C4—202no—
496C22×C4—401no—
497C22×C4—401no—
498C22×C4—401no—
499C22×C4C2×Dic1012yes—
500C22×C4C2×Dic1012yes—
501C22×C4C2×D2011yescharacteristic
502C22×C4C2×D2011yescharacteristic
503C22×C4C2×D2011yescharacteristic
504C22×C4C2×D2011yescharacteristic
505C22×C4C22×Dic512yes—
506C22×C4C22×Dic512yes—
507C22×C4C23×D511yescharacteristic
508M16—28no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—28no—
516C2×C8D4×D512yes—
517C2×C8#71112yes—
518C2×C8C22×Dic512yes—
519C2×C8C22×Dic512yes—
520C2×C8C22×Dic512yes—
521C2×C8C22×Dic512yes—
522C4⋊C4—52no—
523C4⋊C4—52no—
524C4⋊C4—101no—
525C4⋊C4—101no—
526C4⋊C4—101no—
527C4⋊C4—101no—
528C4⋊C4—101no—
529C4⋊C4—101no—
530C4⋊C4—101no—
531C4⋊C4—101no—
532C4⋊C4—101no—
533C4⋊C4—101no—
534C4⋊C4—101no—
535C4⋊C4—101no—
536C4⋊C4—101no—
537C4⋊C4—101no—
538C4⋊C4—202no—
539C4⋊C4—202no—
540C4⋊C4—202no—
541C4⋊C4—202no—
542C4⋊C4—401no—
543C4⋊C4C4⋊Dic514yes—
544C22⋊C4—202no—
545C22⋊C4—202no—
546C22⋊C4—202no—
547C22⋊C4—202no—
548C22⋊C4—401no—
549C22⋊C4C4⋊Dic514yes—
550C22⋊C4C4⋊Dic514yes—
551C42—202no—
552C42—202no—
553C42—401no—
554C42C2×Dic1012yes—
555C42C22×Dic512yes—
556C2×C5—24no—
557C2×C5—42no—
558C2×C5D4×C4⋊C411yescharacteristic
559C2×C5C2×#42811yescharacteristic
560C2×C5#291211yescharacteristic
561C2×C5#326511yescharacteristic
562C2×C5#326611yescharacteristic
563C2×C5#334411yescharacteristic
564C2×C5#334511yescharacteristic
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#405412yes—
576C23#405512yes—
577C23C2×C4⋊Dic512yes—
578C23C2×C4⋊Dic512yes—
579C23C22×D2011yescharacteristic
580D4—28no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—102no—
598C2×C4—102no—
599C2×C4—201no—
600C2×C4—201no—
601C2×C4—201no—
602C2×C4—201no—
603C2×C4—201no—
604C2×C4—201no—
605C2×C4—201no—
606C2×C4—201no—
607C2×C4—201no—
608C2×C4—201no—
609C2×C4—201no—
610C2×C4—201no—
611C2×C4—201no—
612C2×C4—201no—
613C2×C4—201no—
614C2×C4—201no—
615C2×C4—201no—
616C2×C4—201no—
617C2×C4—201no—
618C2×C4—201no—
619C2×C4—201no—
620C2×C4—201no—
621C2×C4—404no—
622C2×C4—404no—
623C2×C4—404no—
624C2×C4C2×C4⋊Dic512yes—
625C2×C4C2×C4⋊Dic512yes—
626C2×C4C2×C4⋊Dic512yes—
627C2×C4C2×C4⋊Dic512yes—
628C2×C4C22×Dic1011yescharacteristic
629C2×C4C2×D4×D511yescharacteristic
630C2×C4C2×#71111yescharacteristic
631C2×C4#414911yescharacteristic
632C2×C4#415011yescharacteristic
633C2×C4C23×Dic511yescharacteristic
634C8—22no—
635C8—22no—
636C8—22no—
637C8D4×Dic514yescomplemented
638C5#2265911yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#6541014yescomplemented
653C22D4×D2011yescharacteristic
654C22#6588911yescharacteristic
655C22C2×#405411yescharacteristic
656C22C2×#405511yescharacteristic
657C22#6608511yescharacteristic
658C22#6608511yescharacteristic
659C22C22×C4⋊Dic511yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—202no—
665C4—202no—
666C4—401no—
667C4—401no—
668C4—401no—
669C4—401no—
670C4—401no—
671C4—401no—
672C4D4×Dic1011yescharacteristic
673C4#6587711yescharacteristic
674C4C2×D4×Dic511yescharacteristic
675C4#6616111yescharacteristic
676C2—24no—
677C2—42no—
678C2#1061120111yescharacteristic
679C2#1061120211yescharacteristic
680C2#1061122511yescharacteristic
681C2#1061122611yescharacteristic
682C2D4×C4⋊Dic511yescharacteristic
683C2C2×#6541011yescharacteristic
684C2#1061551511yescharacteristic
subgroupG/H
centerC23C22×D20
commutatorC2×C4×C5C23×C4
FrattiniC22×C4C23×D5
FittingC2×C5×#435C2
socleC23×C5C22×D4
prime radicalC22×C5×D4D4
cosocleC22×C4×C5C24
hypercenterC2×#435D5
hypocenterC5#22659
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
2. C2×#65410C2semidirect
3. C22×#3949C2semidirect
6. #10602781C2semidirect
7. #10602764C2semidirect
8. #10601248C2semidirect
9. #10601247C2semidirect
10. #10600722C2semidirect
11. #10600721C2semidirect
12. #10600721C2semidirect
13. #10600720C2semidirect
14. #10600609C2semidirect
15. #10600607C2semidirect
24. C5×#435C4semidirect
71. C2×C5×M16C2×C4semidirect
74. C22×C5×C8C2×C4semidirect
115. C5×C4⋊C8C2×C4semidirect
116. C5×C22⋊C8C2×C4semidirect
117. C5×C22⋊C8C2×C4semidirect
118. C5×#97C2×C4semidirect
136. #3949D4semidirect
247. #435Dic5semidirect
357. C5×C8C4×D4semidirect
366. C2×M16C2×Dic5semidirect
369. C22×C8C2×Dic5semidirect
420. C4⋊C8C2×Dic5semidirect
421. C22⋊C8C2×Dic5semidirect
422. C22⋊C8C2×Dic5semidirect
423. #97C2×Dic5semidirect
445. C22×C5#428semidirect
637. C8D4×Dic5semidirect
638. C5#22659semidirect
652. C22#65410semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#4352
C2×#654102
C22×#39492
#106140662
D4×C4⋊Dic52
#106027812
#106027642
#106012482
#106012472
#106007222
#106007212
#106007202
#106006092
#106006072
#226595