Finite Group Databasebeta

← C2×D5×#476 #12966759

Subgroups — C2×D5×#476 #12966759

Order 1280.

2790 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×C4⋊Q8C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic
3C2×C5×#476C211yesmaximal, characteristic, complemented
4C2×#65373C211yesmaximal, characteristic, complemented
5C2×#65297C211yesmaximal, characteristic, complemented
6D5×#476C2116yesmaximal, direct product factor
7C2×#65159C212yesmaximal, complemented
8C2×D5×#106C212yesmaximal, complemented
9C2×#65131C211yesmaximal, characteristic, complemented
10C2×D5×C4⋊C8C211yesmaximal, characteristic, complemented
11C2×D5×#102C212yesmaximal
12C2×#65050C212yesmaximal, complemented
13C22×Q8×D5—21no—
14C22×D4×D5C2211yescharacteristic
15C23×C4×D5—21no—
16C2×C5×C4⋊Q8C2211yescharacteristic, complemented
17C2×C4×C5×D4C2211yescharacteristic
18C2×#4090—21no—
19C2×D4×Dic5C2211yescharacteristic
20C2×C4×C22⋊D5—21no—
21C22×C8×D5C2212yes—
22D5×C4⋊Q8—24no—
23D5×C4⋊Q8C2218yescomplemented
24C4×D4×D5—24no—
25C4×D4×D5C2218yes—
26C2×#4039C2211yescharacteristic
27C2×D5×C4⋊C4—21no—
28C2×D5×C4⋊C4C2212yes—
29C2×D5×C4⋊C4C2211yescharacteristic
30C2×#4034—21no—
31C2×#4034C2212yescomplemented
32C2×#4027—21no—
33C2×D5×C22⋊C4—21no—
34C2×C4×D20C2211yescharacteristic
35C2×C42×D5C2211yescharacteristic
36C2×#4015C2211yescharacteristic, complemented
37C5×#476C2218yescomplemented
38C2×C5×#106C2212yescomplemented
39C2×C5×C4⋊C8C2211yescharacteristic, complemented
40C2×C5×#102C2212yes—
41C2×#3964C2212yes—
42C2×#3953C2212yes—
43C2×#3949C2212yescomplemented
44C2×#3946C2212yescomplemented
45#65373C2218yescomplemented
46#65297C2218yescomplemented
47C2×#3941C2212yes—
48C2×#3940C2212yescomplemented
49C2×#3940C2212yescomplemented
50C2×C4⋊#168C2211yescharacteristic, complemented
51#65159C22116yescomplemented
52D5×#106C22116yescomplemented
53#65131C2218yescomplemented
54D5×C4⋊C8C2218yescomplemented
55D5×#102C22116yes—
56#65050C22116yescomplemented
57C22×#476—51nomaximal, Sylow
58C24×D5—21no—
59C22×C5×Q8—21no—
60C22×C5×D4C2311yescharacteristic
61C23×C4×C5—21no—
62C22×C22⋊D5—21no—
63C23×Dic5—21no—
64C2×Q8×D5—28no—
65C2×Q8×D5—48no—
66C2×D4×D5—22no—
67C2×D4×D5—24no—
68C2×D4×D5Q818yescomplemented
69C2×D4×D5C2314yes—
70C22×D20C2311yescharacteristic
71C22×C4×D5—21no—
72C22×C4×D5—22no—
73C22×C4×D5—21no—
74C22×C4×D5—21no—
75C22×C4×D5—28no—
76C22×C4×D5—48no—
77C22×C4×D5D411yescharacteristic
78C22×C4×D5D411yescharacteristic
79C22×C4×D5C2311yescharacteristic
80C22×Dic10—21no—
81C22×Dic10—22no—
82C22×C5×C8C2312yes—
83C5×C4⋊Q8—22no—
84C5×C4⋊Q8C2314yescomplemented
85C4×C5×D4—22no—
86C4×C5×D4C2314yes—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4C2312yes—
89C2×C5×C4⋊C4C2311yescharacteristic
90C2×C5×C22⋊C4—21no—
91C2×C42×C5C2311yescharacteristic
92C2×C22⋊Dic5—21no—
93#4090—28no—
94D4×Dic5—22no—
95D4×Dic5C2314yes—
96C4×C22⋊D5—28no—
97C2×#685—21no—
98C2×#685—21no—
99C2×C4⋊Dic5—21no—
100C2×C4⋊Dic5C2312yes—
101C2×C4⋊Dic5C2311yescharacteristic
102C2×#683—21no—
103C2×#683—22no—
104C2×#683—22no—
105C2×C4×Dic5D411yescharacteristic
106C2×C4×Dic5D411yescharacteristic
107C2×C4×Dic5C2311yescharacteristic
108C22×#168C2312yes—
109C2×C8×D5—28no—
110C2×C8×D5C2318yes—
111#4039—22no—
112#4039C2314yes—
113D5×C4⋊C4—24no—
114D5×C4⋊C4—28no—
115D5×C4⋊C4—22no—
116D5×C4⋊C4C2318yes—
117D5×C4⋊C4C2314yes—
118#4034—24no—
119#4034—28no—
120#4034C2318yescomplemented
121#4027—28no—
122D5×C22⋊C4—28no—
123C4×D20—22no—
124C4×D20C2314yes—
125C42×D5D414yes—
126C42×D5C2314yes—
127#4015—22no—
128#4015C2314yescomplemented
129C5×#106C2318yescomplemented
130C5×C4⋊C8C2314yescomplemented
131C5×#102C2318yes—
132#3964C2318yes—
133#3953C2318yes—
134#3949C2318yescomplemented
135#3946C2318yescomplemented
136#3941C2318yes—
137#3940C2318yescomplemented
138#3940C2318yescomplemented
139C4⋊#168C2314yescomplemented
140C22×C4⋊Q8—51no—
141C22×C4×D4—51no—
142C2×#476—516no—
143C2×#476—52no—
144C2×#476—51no—
145C2×#476—52no—
146C2×#476—51no—
147C2×#476—51no—
148C2×#476D511yescharacteristic, direct product factor
149C22×#106—52no—
150C22×C4⋊C8—51no—
151C22×#102—52no—
152C24×C5—21no—
153C23×D5—21no—
154C23×D5—28no—
155C23×D5—24no—
156C23×D5—44no—
157C23×D5—44no—
158C23×D5C2×D411yescharacteristic
159C2×C5×Q8—24no—
160C2×C5×Q8—44no—
161C2×C5×D4—21no—
162C2×C5×D4—22no—
163C2×C5×D4C2×Q814yescomplemented
164C2×C5×D4C2412yes—
165C22×C4×C5—21no—
166C22×C4×C5—22no—
167C22×C4×C5—24no—
168C22×C4×C5—44no—
169C22×C4×C5C2×D411yescharacteristic
170C22×C4×C5C2×D411yescharacteristic
171C22×C4×C5C2411yescharacteristic
172C2×C22⋊D5—28no—
173C2×C22⋊D5—24no—
174C22×Dic5—21no—
175C22×Dic5—22no—
176C22×Dic5—24no—
177C22×Dic5—44no—
178C22×Dic5C2×D411yescharacteristic
179C22×Dic5C2×D411yescharacteristic
180C22×Dic5C2×D411yescharacteristic
181Q8×D5—432no—
182D4×D5—216no—
183D4×D5—28no—
184D4×D5C2×Q8116yescomplemented
185C2×D20—21no—
186C2×D20—22no—
187C2×D20C2×Q814yescomplemented
188C2×D20C2412yes—
189C2×C4×D5—24no—
190C2×C4×D5—24no—
191C2×C4×D5—28no—
192C2×C4×D5—24no—
193C2×C4×D5—24no—
194C2×C4×D5—44no—
195C2×C4×D5—48no—
196C2×C4×D5—44no—
197C2×C4×D5—44no—
198C2×C4×D5—432no—
199C2×C4×D5SD1618yes—
200C2×C4×D5C2×D414yes—
201C2×C4×D5C2×D412yes—
202C2×C4×D5C2×D414yes—
203C2×C4×D5C2×Q814yes—
204C2×C4×D5#4114yes—
205C2×C4×D5C2412yes—
206C2×Dic10—24no—
207C2×Dic10—28no—
208C2×Dic10—48no—
209C2×Dic10—44no—
210C2×C5×C8—24no—
211C2×C5×C8C2414yes—
212C5×C4⋊C4—24no—
213C5×C4⋊C4—21no—
214C5×C4⋊C4—22no—
215C5×C4⋊C4C2412yes—
216C5×C4⋊C4C2414yes—
217C5×C22⋊C4—24no—
218C42×C5C2×D412yes—
219C42×C5C2412yes—
220C22⋊Dic5—24no—
221#685—24no—
222#685—24no—
223C4⋊Dic5—22no—
224C4⋊Dic5—24no—
225C4⋊Dic5—21no—
226C4⋊Dic5C2412yes—
227C4⋊Dic5C2414yes—
228#683—24no—
229#683—28no—
230#683—28no—
231C4×Dic5C2×D412yes—
232C4×Dic5C2×D414yes—
233C4×Dic5C2×D414yes—
234C4×Dic5C2412yes—
235C2×#168—24no—
236C2×#168C2414yes—
237C8×D5—216no—
238C23×Q8—101no—
239C23×D4—51no—
240C24×C4—101no—
241C23×C8—52no—
242C2×C4⋊Q8—58no—
243C2×C4⋊Q8—52no—
244C2×C4⋊Q8—51no—
245C2×C4⋊Q8—101no—
246C2×C4⋊Q8—104no—
247C2×C4⋊Q8—101no—
248C2×C4⋊Q8C2×D511yescharacteristic, complemented
249C2×C4×D4—51no—
250C2×C4×D4—58no—
251C2×C4×D4—51no—
252C2×C4×D4—51no—
253C2×C4×D4—101no—
254C2×C4×D4—104no—
255C2×C4×D4—101no—
256C2×C4×D4C2×D511yescharacteristic
257C22×C4⋊C4—52no—
258C22×C4⋊C4—51no—
259C22×C4⋊C4—101no—
260C22×C22⋊C4—101no—
261C22×C42—51no—
262#476—58no—
263#476—58no—
264#476—516no—
265#476—58no—
266#476—516no—
267#476C2×D518yesdirect product factor
268C2×#106—52no—
269C2×#106—52no—
270C2×#106—52no—
271C2×#106—516no—
272C2×#106C2×D512yescomplemented
273C2×C4⋊C8—52no—
274C2×C4⋊C8—51no—
275C2×C4⋊C8—58no—
276C2×C4⋊C8C2×D511yescharacteristic, complemented
277C2×#102—52no—
278C2×#102—52no—
279C2×#102—52no—
280C2×#102—516no—
281C2×#102C2×D512yes—
282C23×C5—24no—
283C23×C5—22no—
284C23×C5—42no—
285C23×C5—42no—
286C23×C5C22×D411yescharacteristic
287C22×D5—24no—
288C22×D5—22no—
289C22×D5—216no—
290C22×D5—42no—
291C22×D5—42no—
292C22×D5—48no—
293C22×D5—48no—
294C22×D5—432no—
295C22×D5C22⋊Q814yes—
296C22×D5C2×SD1614yes—
297C22×D5AGL(1,ℤ/8)14yes—
298C22×D5C22×D412yes—
299C5×Q8—48no—
300C5×D4—24no—
301C5×D4—22no—
302C5×D4C22×Q814yescomplemented
303C2×C4×C5—22no—
304C2×C4×C5—24no—
305C2×C4×C5—22no—
306C2×C4×C5—42no—
307C2×C4×C5—44no—
308C2×C4×C5—48no—
309C2×C4×C5C2×SD1614yes—
310C2×C4×C5C22×D412yes—
311C2×C4×C5C22×D411yescharacteristic
312C2×C4×C5C22×D412yes—
313C2×C4×C5C22×Q812yes—
314C2×C4×C5C2×#4112yes—
315C2×C4×C5C2511yescharacteristic
316C22⋊D5—216no—
317C2×Dic5—22no—
318C2×Dic5—24no—
319C2×Dic5—22no—
320C2×Dic5—42no—
321C2×Dic5—44no—
322C2×Dic5—48no—
323C2×Dic5C22⋊Q814yes—
324C2×Dic5C2×SD1614yes—
325C2×Dic5C22×D412yes—
326C2×Dic5C22×D412yes—
327C2×Dic5C22×D412yes—
328D20—24no—
329D20—22no—
330D20C22×Q814yescomplemented
331C4×D5—28no—
332C4×D5—48no—
333C4×D5—416no—
334C4×D5—48no—
335C4×D5—48no—
336C4×D5C22⋊Q818yes—
337C4×D5C2×SD16116yes—
338C4×D5C22×Q814yes—
339C4×D5C2×#4114yes—
340Dic10—416no—
341Dic10—48no—
342C5×C8—24no—
343#168—24no—
344C25—101no—
345C22×Q8—21no—
346C22×Q8—102no—
347C22×Q8—108no—
348C22×Q8—101no—
349C22×Q8—208no—
350C22×D4—58no—
351C22×D4—54no—
352C22×D4—51no—
353C22×D4—102no—
354C22×D4—104no—
355C22×D4—101no—
356C22×D4C22×D511yescharacteristic
357C23×C4—21no—
358C23×C4—51no—
359C23×C4—51no—
360C23×C4—51no—
361C23×C4—101no—
362C23×C4—108no—
363C23×C4—101no—
364C23×C4—102no—
365C23×C4—101no—
366C23×C4—101no—
367C23×C4—208no—
368C22×C8—52no—
369C22×C8—58no—
370C22×C8—108no—
371C22×C8C22×D512yes—
372C4⋊Q8—22no—
373C4⋊Q8—58no—
374C4⋊Q8—54no—
375C4⋊Q8—108no—
376C4⋊Q8—104no—
377C4⋊Q8—108no—
378C4⋊Q8—102no—
379C4⋊Q8C22×D514yescomplemented
380C4×D4—22no—
381C4×D4—54no—
382C4×D4—54no—
383C4×D4—54no—
384C4×D4—108no—
385C4×D4—102no—
386C4×D4—108no—
387C4×D4—102no—
388C4×D4—102no—
389C4×D4C22×D514yes—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—51no—
392C2×C4⋊C4—52no—
393C2×C4⋊C4—54no—
394C2×C4⋊C4—58no—
395C2×C4⋊C4—102no—
396C2×C4⋊C4—104no—
397C2×C4⋊C4—108no—
398C2×C4⋊C4—101no—
399C2×C4⋊C4—102no—
400C2×C4⋊C4—102no—
401C2×C4⋊C4—101no—
402C2×C4⋊C4C22×D511yescharacteristic
403C2×C4⋊C4C22×D512yes—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—108no—
406C2×C22⋊C4—101no—
407C2×C22⋊C4—101no—
408C2×C22⋊C4—101no—
409C2×C42—51no—
410C2×C42—51no—
411C2×C42—51no—
412C2×C42—54no—
413C2×C42—54no—
414C2×C42C22×D511yescharacteristic
415#106—58no—
416#106—58no—
417#106—58no—
418#106C22×D518yescomplemented
419C4⋊C8—58no—
420C4⋊C8—54no—
421C4⋊C8C22×D514yescomplemented
422#102—58no—
423#102—58no—
424#102—58no—
425#102C22×D518yes—
426C22×C5—24no—
427C22×C5—42no—
428C22×C5—42no—
429C22×C5—48no—
430C22×C5C2×C22⋊Q812yes—
431C22×C5C22×SD1612yes—
432C22×C5C2×AGL(1,ℤ/8)12yes—
433C22×C5C23×D411yescharacteristic
434C2×D5—24no—
435C2×D5—42no—
436C2×D5—42no—
437C2×D5—48no—
438C2×D5—432no—
439C2×D5#476116yesdirect product factor
440C2×D5C2×C22⋊Q814yes—
441C2×D5C22×SD1614yes—
442C2×D5C2×AGL(1,ℤ/8)14yes—
443C4×C5—22no—
444C4×C5—42no—
445C4×C5—44no—
446C4×C5C2×C22⋊Q812yes—
447C4×C5C22×SD1614yes—
448C4×C5C23×Q811yescharacteristic
449C4×C5C22×#4111yescharacteristic
450Dic5—22no—
451Dic5—42no—
452Dic5—44no—
453Dic5C2×C22⋊Q814yes—
454Dic5C22×SD1614yes—
455C24—21no—
456C24—51no—
457C24—104no—
458C24—108no—
459C24—101no—
460C24—204no—
461C24—204no—
462C2×Q8—24no—
463C2×Q8—44no—
464C2×Q8—108no—
465C2×Q8—104no—
466C2×Q8—204no—
467C2×Q8—208no—
468C2×Q8—2032no—
469C2×D4—21no—
470C2×D4—22no—
471C2×D4—516no—
472C2×D4—54no—
473C2×D4—52no—
474C2×D4—1016no—
475C2×D4—108no—
476C2×D4—104no—
477C2×D4—108no—
478C2×D4—101no—
479C2×D4—102no—
480C2×D4Q8×D514yescomplemented
481C2×D4C23×D512yes—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—44no—
486C22×C4—51no—
487C22×C4—51no—
488C22×C4—52no—
489C22×C4—54no—
490C22×C4—54no—
491C22×C4—54no—
492C22×C4—52no—
493C22×C4—58no—
494C22×C4—51no—
495C22×C4—54no—
496C22×C4—104no—
497C22×C4—104no—
498C22×C4—104no—
499C22×C4—108no—
500C22×C4—104no—
501C22×C4—101no—
502C22×C4—102no—
503C22×C4—104no—
504C22×C4—204no—
505C22×C4—2032no—
506C22×C4—204no—
507C22×C4—208no—
508C22×C4—204no—
509C22×C4—204no—
510C22×C4D4×D511yescharacteristic
511C22×C4D4×D511yescharacteristic
512C22×C4C23×D511yescharacteristic
513C2×C8—24no—
514C2×C8—54no—
515C2×C8—1016no—
516C2×C8—104no—
517C2×C8C23×D514yes—
518C4⋊C4—24no—
519C4⋊C4—21no—
520C4⋊C4—22no—
521C4⋊C4—54no—
522C4⋊C4—52no—
523C4⋊C4—104no—
524C4⋊C4—108no—
525C4⋊C4—108no—
526C4⋊C4—101no—
527C4⋊C4—102no—
528C4⋊C4—104no—
529C4⋊C4C23×D514yes—
530C4⋊C4C23×D512yes—
531C22⋊C4—24no—
532C22⋊C4—104no—
533C22⋊C4—104no—
534C22⋊C4—104no—
535C42—54no—
536C42—54no—
537C42—52no—
538C42—52no—
539C42D4×D512yes—
540C42C23×D512yes—
541C2×C5—44no—
542C2×C5C2×#47614yescomplemented
543C2×C5C22×C22⋊Q811yescharacteristic
544C2×C5C23×SD1611yescharacteristic
545C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
546D5—44no—
547D5C2×#47618yesdirect product factor
548C23—24no—
549C23—22no—
550C23—42no—
551C23—42no—
552C23—54no—
553C23—54no—
554C23—54no—
555C23—52no—
556C23—1016no—
557C23—104no—
558C23—102no—
559C23—208no—
560C23—2032no—
561C23—208no—
562C23—202no—
563C23—202no—
564C23C2×D4×D511yescharacteristic
565Q8—48no—
566Q8—208no—
567Q8—2016no—
568D4—24no—
569D4—22no—
570D4—54no—
571D4—1016no—
572D4—104no—
573D4—102no—
574D4C2×Q8×D514yescomplemented
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—42no—
579C2×C4—44no—
580C2×C4—48no—
581C2×C4—54no—
582C2×C4—54no—
583C2×C4—52no—
584C2×C4—52no—
585C2×C4—516no—
586C2×C4—58no—
587C2×C4—54no—
588C2×C4—54no—
589C2×C4—52no—
590C2×C4—108no—
591C2×C4—102no—
592C2×C4—102no—
593C2×C4—104no—
594C2×C4—208no—
595C2×C4—208no—
596C2×C4—2016no—
597C2×C4—208no—
598C2×C4—202no—
599C2×C4—204no—
600C2×C4—208no—
601C2×C4D5×SD1614yes—
602C2×C4C2×D4×D512yes—
603C2×C4C2×D4×D512yes—
604C2×C4C2×D4×D511yescharacteristic
605C2×C4C2×Q8×D512yes—
606C2×C4D5×#4112yes—
607C2×C4C24×D511yescharacteristic
608C8—24no—
609C8—104no—
610C5C22×#47611yescharacteristic, complemented, Sylow
611C22—24no—
612C22—48no—
613C22—42no—
614C22—42no—
615C22—54no—
616C22—516no—
617C22—54no—
618C22—54no—
619C22—104no—
620C22—2032no—
621C22—208no—
622C22—202no—
623C22—202no—
624C22D5×C22⋊Q812yes—
625C22C2×D5×SD1612yes—
626C22D5×AGL(1,ℤ/8)12yes—
627C22C22×D4×D511yescharacteristic
628C4—22no—
629C4—42no—
630C4—44no—
631C4—54no—
632C4—54no—
633C4—102no—
634C4—202no—
635C4—204no—
636C4D5×C22⋊Q812yes—
637C4C2×D5×SD1614yes—
638C4C22×Q8×D511yescharacteristic
639C4C2×D5×#4111yescharacteristic
640C2—44no—
641C2—58no—
642C2—204no—
643C2D5×#47614yesdirect product factor
644C2C2×D5×C22⋊Q811yescharacteristic
645C2C22×D5×SD1611yescharacteristic
646C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#476C2
socleC23×C5C22×D4
prime radicalC22×D4×D5C22
hypercenterC2×#476D5
hypocenterC5C22×#476
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#476

Complements

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

NH ≅ G/Ntype
1. C2×D5×C4⋊Q8C2semidirect
3. C2×C5×#476C2semidirect
4. C2×#65373C2semidirect
5. C2×#65297C2semidirect
6. D5×#476C2direct (N × H)
7. C2×#65159C2semidirect
8. C2×D5×#106C2semidirect
9. C2×#65131C2semidirect
10. C2×D5×C4⋊C8C2semidirect
12. C2×#65050C2semidirect
16. C2×C5×C4⋊Q8C22semidirect
23. D5×C4⋊Q8C22semidirect
31. C2×#4034C22semidirect
36. C2×#4015C22semidirect
37. C5×#476C22semidirect
38. C2×C5×#106C22semidirect
39. C2×C5×C4⋊C8C22semidirect
43. C2×#3949C22semidirect
44. C2×#3946C22semidirect
45. #65373C22semidirect
46. #65297C22semidirect
48. C2×#3940C22semidirect
49. C2×#3940C22semidirect
50. C2×C4⋊#168C22semidirect
51. #65159C22semidirect
52. D5×#106C22semidirect
53. #65131C22semidirect
54. D5×C4⋊C8C22semidirect
56. #65050C22semidirect
68. C2×D4×D5Q8semidirect
84. C5×C4⋊Q8C23semidirect
120. #4034C23semidirect
128. #4015C23semidirect
129. C5×#106C23semidirect
130. C5×C4⋊C8C23semidirect
134. #3949C23semidirect
135. #3946C23semidirect
137. #3940C23semidirect
138. #3940C23semidirect
139. C4⋊#168C23semidirect
148. C2×#476D5direct (N × H)
163. C2×C5×D4C2×Q8semidirect
184. D4×D5C2×Q8semidirect
187. C2×D20C2×Q8semidirect
248. C2×C4⋊Q8C2×D5semidirect
267. #476C2×D5direct (N × H)
272. C2×#106C2×D5semidirect
276. C2×C4⋊C8C2×D5semidirect
302. C5×D4C22×Q8semidirect
330. D20C22×Q8semidirect
379. C4⋊Q8C22×D5semidirect
418. #106C22×D5semidirect
421. C4⋊C8C22×D5semidirect
439. C2×D5#476direct (N × H)
480. C2×D4Q8×D5semidirect
542. C2×C5C2×#476semidirect
547. D5C2×#476direct (N × H)
574. D4C2×Q8×D5semidirect
610. C5C22×#476semidirect
643. C2D5×#476direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D5×C4⋊Q82
C2×C4×D4×D52
C2×C5×#4762
C2×#653732
C2×#652972
D5×#4762
C2×#651592
C2×D5×#1062
C2×#651312
C2×D5×C4⋊C82
C2×D5×#1022
C2×#650502
C22×#4765