Finite Group Databasebeta

← C5×#18256 #11940976

Subgroups — C5×#18256 #11940976

Order 1280.

1440 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3536C211yesmaximal, characteristic, complemented
2C5×#3003C211yesmaximal, characteristic, complemented
3C2×C5×#450C211yesmaximal, characteristic, complemented
4C5×#2433C211yesmaximal, characteristic, complemented
5C5×#1600C214yesmaximal, complemented
6C5×#1596C214yesmaximal, complemented
7C5×#1508C211yesmaximal, characteristic, complemented
8C5×#1501C211yesmaximal, characteristic, complemented
9C5×#1471C211yesmaximal, characteristic, complemented
10C23×C5×D4C2211yescharacteristic
11C2×C5×AGL(1,ℤ/8)—21no—
12C22×C5×SD16—21no—
13C5×#562—22no—
14C5×#554—21no—
15C5×#548—21no—
16C5×#547—21no—
17C5×#546—22no—
18C5×#546—21no—
19C5×#543C2212yescomplemented
20C5×#542—21no—
21C5×#539—21no—
22C5×#538C2212yescomplemented
23C5×#537—21no—
24C5×#537—21no—
25C2×C5×#127—21no—
26C5×#525C2211yescharacteristic
27C2×C5×C22⋊Q8C2211yescharacteristic
28C2×C5×#121C2211yescharacteristic
29C2×C5×#120—22no—
30C5×#450—22no—
31C5×#450—21no—
32C5×#450C2214yes—
33C5×#450C2212yes—
34C5×#447—21no—
35C5×#447C2212yes—
36C5×#418—21no—
37C2×C5×#102—21no—
38C5×#407C2211yescharacteristic
39C2×C5×C22⋊C8C2211yescharacteristic
40C5×#392C2214yes—
41C5×#390—21no—
42C4×C5×C22⋊C4C2211yescharacteristic
43C5×#328C2212yescomplemented
44C5×#328C2214yescomplemented
45C5×#327C2212yescomplemented
46C5×#323C2214yescomplemented
47#18256C511yesmaximal, characteristic, direct product factor, Sylow
48C25×C5—21no—
49C2×C5×#41—22no—
50C2×C5×#41—21no—
51C2×C5×#41D411yescharacteristic, complemented
52C22×C5×Q8D411yescharacteristic, complemented
53C22×C5×D4—24no—
54C22×C5×D4—21no—
55C22×C5×D4—21no—
56C22×C5×D4—21no—
57C22×C5×D4—21no—
58C22×C5×D4—21no—
59C22×C5×D4—44no—
60C22×C5×D4D412yes—
61C22×C5×D4D411yescharacteristic
62C22×C5×D4C2312yes—
63C23×C4×C5C2311yescharacteristic
64C5×AGL(1,ℤ/8)—44no—
65C2×C5×SD16—24no—
66C2×C5×SD16—22no—
67C2×C5×SD16—44no—
68C2×C5×D8—22no—
69C2×C5×M16—21no—
70C22×C5×C8—21no—
71C5×C4⋊Q8—21no—
72C5×#127—44no—
73C5×#126—22no—
74C5×#125—22no—
75C5×#124—21no—
76C5×#124—22no—
77C5×#124—22no—
78C5×#123—22no—
79C5×#123—22no—
80C5×#123—22no—
81C5×#123—21no—
82C5×#123—22no—
83C5×C22⋊Q8—21no—
84C5×C22⋊Q8—22no—
85C5×C22⋊Q8—22no—
86C5×C22⋊Q8—22no—
87C5×C22⋊Q8—21no—
88C5×C22⋊Q8—21no—
89C5×C22⋊Q8—22no—
90C5×C22⋊Q8—22no—
91C5×C22⋊Q8—22no—
92C5×C22⋊Q8D412yescomplemented
93C5×C22⋊Q8D411yescharacteristic, complemented
94C5×C22⋊Q8C2312yes—
95C5×C22⋊Q8C2311yescharacteristic
96C5×#121—21no—
97C5×#121—22no—
98C5×#121—22no—
99C5×#121—22no—
100C5×#121—22no—
101C5×#121—22no—
102C5×#121—21no—
103C5×#121—21no—
104C5×#121—21no—
105C5×#121—21no—
106C5×#121D411yescharacteristic, complemented
107C5×#121C2311yescharacteristic
108C5×#120—21no—
109C5×#120—22no—
110C5×#120—48no—
111C4×C5×Q8—21no—
112C4×C5×D4—22no—
113C4×C5×D4—21no—
114C4×C5×D4—21no—
115C4×C5×D4—21no—
116C4×C5×D4—22no—
117C5×#117D411yescharacteristic, complemented
118C2×C5×C4⋊C4—21no—
119C2×C5×C4⋊C4—21no—
120C2×C5×C4⋊C4D411yescharacteristic
121C2×C5×C4⋊C4D411yescharacteristic, complemented
122C2×C5×C22⋊C4—21no—
123C2×C5×C22⋊C4—21no—
124C2×C5×C22⋊C4—22no—
125C2×C5×C22⋊C4—24no—
126C2×C5×C22⋊C4C2312yes—
127C2×C42×C5—21no—
128C5×#102—24no—
129C5×#102—22no—
130C5×#102—22no—
131C5×C22⋊C8—21no—
132C5×C22⋊C8—21no—
133C5×C22⋊C8C2312yes—
134C5×C22⋊C8C2312yes—
135C5×#95C2312yes—
136#3536C2×C511yescharacteristic, complemented
137#3003C2×C511yescharacteristic, complemented
138C2×#450C2×C511yescharacteristic, complemented
139#2433C2×C511yescharacteristic, complemented
140#1600C2×C514yescomplemented
141#1596C2×C514yescomplemented
142#1508C2×C511yescharacteristic, complemented
143#1501C2×C511yescharacteristic, complemented
144#1471C2×C511yescharacteristic, complemented
145C24×C5—22no—
146C24×C5—44no—
147C24×C5—44no—
148C24×C5—41no—
149C24×C5—41no—
150C24×C5—82no—
151C24×C5C2×D411yescharacteristic
152C24×C5C2×D412yes—
153C5×#41—42no—
154C5×#41—84no—
155C5×#41—82no—
156C2×C5×Q8—22no—
157C2×C5×Q8—21no—
158C2×C5×Q8—42no—
159C2×C5×Q8C2×D411yescharacteristic
160C2×C5×Q8C2×D412yes—
161C2×C5×D4—24no—
162C2×C5×D4—24no—
163C2×C5×D4—24no—
164C2×C5×D4—21no—
165C2×C5×D4—22no—
166C2×C5×D4—21no—
167C2×C5×D4—22no—
168C2×C5×D4—22no—
169C2×C5×D4—21no—
170C2×C5×D4—22no—
171C2×C5×D4—21no—
172C2×C5×D4—21no—
173C2×C5×D4—22no—
174C2×C5×D4—22no—
175C2×C5×D4—42no—
176C2×C5×D4—42no—
177C2×C5×D4—42no—
178C2×C5×D4—42no—
179C2×C5×D4—48no—
180C2×C5×D4—44no—
181C2×C5×D4—44no—
182C2×C5×D4—44no—
183C2×C5×D4—44no—
184C2×C5×D4—48no—
185C2×C5×D4—41no—
186C2×C5×D4—41no—
187C2×C5×D4—84no—
188C2×C5×D4C2×D411yescharacteristic
189C22×C4×C5—21no—
190C22×C4×C5—22no—
191C22×C4×C5—22no—
192C22×C4×C5—22no—
193C22×C4×C5—22no—
194C22×C4×C5—21no—
195C22×C4×C5—21no—
196C22×C4×C5—42no—
197C22×C4×C5C2×D411yescharacteristic
198C22×C4×C5C2×D411yescharacteristic
199C22×C4×C5C2×D411yescharacteristic
200C22×C4×C5C2×D412yes—
201C22×C4×C5C2×D411yescharacteristic
202C22×C4×C5C2×D411yescharacteristic
203C22×C4×C5C2411yescharacteristic
204C5×SD16—48no—
205C5×SD16—44no—
206C5×D8—44no—
207C5×M16—42no—
208C2×C5×C8—22no—
209C2×C5×C8—22no—
210C2×C5×C8—42no—
211C5×C4⋊C4—22no—
212C5×C4⋊C4—22no—
213C5×C4⋊C4—22no—
214C5×C4⋊C4—22no—
215C5×C4⋊C4—21no—
216C5×C4⋊C4—21no—
217C5×C4⋊C4—22no—
218C5×C4⋊C4—21no—
219C5×C4⋊C4—21no—
220C5×C4⋊C4—22no—
221C5×C4⋊C4—21no—
222C5×C4⋊C4C2×D412yes—
223C5×C4⋊C4C2×D411yescharacteristic
224C5×C4⋊C4C2×D411yescharacteristic
225C5×C22⋊C4—24no—
226C5×C22⋊C4—22no—
227C5×C22⋊C4—22no—
228C5×C22⋊C4—22no—
229C5×C22⋊C4—22no—
230C5×C22⋊C4—22no—
231C5×C22⋊C4—22no—
232C5×C22⋊C4—21no—
233C5×C22⋊C4—21no—
234C5×C22⋊C4—22no—
235C5×C22⋊C4—21no—
236C5×C22⋊C4—21no—
237C5×C22⋊C4—22no—
238C5×C22⋊C4—22no—
239C5×C22⋊C4—21no—
240C5×C22⋊C4—48no—
241C42×C5—22no—
242C42×C5—21no—
243C42×C5—42no—
244C23×D4C22×C511yescharacteristic
245C2×AGL(1,ℤ/8)—21no—
246C22×SD16—21no—
247#562—22no—
248#554—21no—
249#548—21no—
250#547—21no—
251#546—22no—
252#546—21no—
253#543C22×C512yescomplemented
254#542—21no—
255#539—21no—
256#538C22×C512yescomplemented
257#537—21no—
258#537—21no—
259C2×#127—21no—
260#525C22×C511yescharacteristic
261C2×C22⋊Q8C22×C511yescharacteristic
262C2×#121C22×C511yescharacteristic
263C2×#120—22no—
264#450—22no—
265#450—21no—
266#450C22×C512yes—
267#450C22×C514yes—
268#447—21no—
269#447C22×C512yes—
270#418—21no—
271C2×#102—21no—
272#407C22×C511yescharacteristic
273C2×C22⋊C8C22×C511yescharacteristic
274#392C22×C514yes—
275#390—21no—
276C4×C22⋊C4C22×C511yescharacteristic
277#328C22×C512yescomplemented
278#328C22×C514yescomplemented
279#327C22×C512yescomplemented
280#323C22×C514yescomplemented
281C23×C5—22no—
282C23×C5—22no—
283C23×C5—24no—
284C23×C5—22no—
285C23×C5—21no—
286C23×C5—24no—
287C23×C5—41no—
288C23×C5—44no—
289C23×C5—44no—
290C23×C5—44no—
291C23×C5—42no—
292C23×C5—42no—
293C23×C5—42no—
294C23×C5—42no—
295C23×C5—44no—
296C23×C5—82no—
297C23×C5—82no—
298C23×C5—82no—
299C23×C5—816no—
300C23×C5—82no—
301C23×C5#12011yescharacteristic
302C23×C5#12011yescharacteristic
303C23×C5C22×D411yescharacteristic
304C5×Q8—42no—
305C5×Q8—41no—
306C5×Q8—42no—
307C5×Q8—82no—
308C5×D4—24no—
309C5×D4—24no—
310C5×D4—41no—
311C5×D4—42no—
312C5×D4—42no—
313C5×D4—44no—
314C5×D4—42no—
315C5×D4—44no—
316C5×D4—42no—
317C5×D4—44no—
318C5×D4—42no—
319C5×D4—81no—
320C5×D4—82no—
321C5×D4—81no—
322C5×D4—82no—
323C5×D4—82no—
324C5×D4—816no—
325C2×C4×C5—22no—
326C2×C4×C5—22no—
327C2×C4×C5—22no—
328C2×C4×C5—24no—
329C2×C4×C5—21no—
330C2×C4×C5—22no—
331C2×C4×C5—21no—
332C2×C4×C5—22no—
333C2×C4×C5—21no—
334C2×C4×C5—22no—
335C2×C4×C5—41no—
336C2×C4×C5—41no—
337C2×C4×C5—41no—
338C2×C4×C5—42no—
339C2×C4×C5—42no—
340C2×C4×C5—42no—
341C2×C4×C5—42no—
342C2×C4×C5—42no—
343C2×C4×C5—81no—
344C2×C4×C5—82no—
345C2×C4×C5—82no—
346C2×C4×C5—82no—
347C2×C4×C5#12011yescharacteristic
348C2×C4×C5#12011yescharacteristic
349C2×C4×C5C22×D411yescharacteristic
350C2×C4×C5C22×D411yescharacteristic
351C5×C8—42no—
352C5×C8—42no—
353C25—21no—
354C2×#41—22no—
355C2×#41—21no—
356C2×#41C5×D411yescharacteristic, complemented
357C22×Q8C5×D411yescharacteristic, complemented
358C22×D4—24no—
359C22×D4—21no—
360C22×D4—21no—
361C22×D4—21no—
362C22×D4—21no—
363C22×D4—21no—
364C22×D4—44no—
365C22×D4C5×D412yes—
366C22×D4C5×D411yescharacteristic
367C22×D4C23×C512yes—
368C23×C4C23×C511yescharacteristic
369AGL(1,ℤ/8)—44no—
370C2×SD16—24no—
371C2×SD16—22no—
372C2×SD16—44no—
373C2×D8—22no—
374C2×M16—21no—
375C22×C8—21no—
376C4⋊Q8—21no—
377#127—44no—
378#126—22no—
379#125—22no—
380#124—21no—
381#124—22no—
382#124—22no—
383#123—22no—
384#123—22no—
385#123—22no—
386#123—21no—
387#123—22no—
388C22⋊Q8—21no—
389C22⋊Q8—22no—
390C22⋊Q8—22no—
391C22⋊Q8—22no—
392C22⋊Q8—21no—
393C22⋊Q8—21no—
394C22⋊Q8—22no—
395C22⋊Q8—22no—
396C22⋊Q8—22no—
397C22⋊Q8C5×D412yescomplemented
398C22⋊Q8C5×D411yescharacteristic, complemented
399C22⋊Q8C23×C512yes—
400C22⋊Q8C23×C511yescharacteristic
401#121—21no—
402#121—22no—
403#121—22no—
404#121—22no—
405#121—22no—
406#121—22no—
407#121—21no—
408#121—21no—
409#121—21no—
410#121—21no—
411#121C5×D411yescharacteristic, complemented
412#121C23×C511yescharacteristic
413#120—21no—
414#120—22no—
415#120—48no—
416C4×Q8—21no—
417C4×D4—22no—
418C4×D4—21no—
419C4×D4—21no—
420C4×D4—21no—
421C4×D4—22no—
422#117C5×D411yescharacteristic, complemented
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4C5×D411yescharacteristic
426C2×C4⋊C4C5×D411yescharacteristic, complemented
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4C23×C512yes—
432C2×C42—21no—
433#102—24no—
434#102—22no—
435#102—22no—
436C22⋊C8—21no—
437C22⋊C8—21no—
438C22⋊C8C23×C512yes—
439C22⋊C8C23×C512yes—
440#95C23×C512yes—
441C22×C5—21no—
442C22×C5—21no—
443C22×C5—21no—
444C22×C5—21no—
445C22×C5—21no—
446C22×C5—21no—
447C22×C5—21no—
448C22×C5—44no—
449C22×C5—48no—
450C22×C5—41no—
451C22×C5—42no—
452C22×C5—41no—
453C22×C5—42no—
454C22×C5—41no—
455C22×C5—42no—
456C22×C5—44no—
457C22×C5—84no—
458C22×C5—84no—
459C22×C5—88no—
460C22×C5—88no—
461C22×C5—82no—
462C22×C5—82no—
463C22×C5#45312yes—
464C22×C5C2×#12011yescharacteristic
465C22×C5#57712yes—
466C4×C5—21no—
467C4×C5—21no—
468C4×C5—21no—
469C4×C5—44no—
470C4×C5—41no—
471C4×C5—42no—
472C4×C5—42no—
473C4×C5—41no—
474C4×C5—41no—
475C4×C5—42no—
476C4×C5B(4,𝔽2)12yes—
477C24—22no—
478C24—44no—
479C24—44no—
480C24—41no—
481C24—41no—
482C24—82no—
483C24C2×C5×D411yescharacteristic
484C24C2×C5×D412yes—
485#41—42no—
486#41—84no—
487#41—82no—
488C2×Q8—22no—
489C2×Q8—21no—
490C2×Q8—42no—
491C2×Q8C2×C5×D411yescharacteristic
492C2×Q8C2×C5×D412yes—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—22no—
498C2×D4—21no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—48no—
512C2×D4—44no—
513C2×D4—44no—
514C2×D4—44no—
515C2×D4—44no—
516C2×D4—48no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—84no—
520C2×D4C2×C5×D411yescharacteristic
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4C2×C5×D411yescharacteristic
530C22×C4C2×C5×D411yescharacteristic
531C22×C4C2×C5×D411yescharacteristic
532C22×C4C2×C5×D412yes—
533C22×C4C2×C5×D411yescharacteristic
534C22×C4C2×C5×D411yescharacteristic
535C22×C4C24×C511yescharacteristic
536SD16—48no—
537SD16—44no—
538D8—44no—
539M16—42no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—42no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4C2×C5×D412yes—
555C4⋊C4C2×C5×D411yescharacteristic
556C4⋊C4C2×C5×D411yescharacteristic
557C22⋊C4—24no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—21no—
572C22⋊C4—48no—
573C42—22no—
574C42—21no—
575C42—42no—
576C2×C5—22no—
577C2×C5—22no—
578C2×C5—41no—
579C2×C5—81no—
580C2×C5—82no—
581C2×C5—84no—
582C2×C5#301011yescharacteristic
583C2×C5C2×#45311yescharacteristic
584C2×C5C2×B(4,𝔽2)11yescharacteristic
585C23—22no—
586C23—22no—
587C23—24no—
588C23—22no—
589C23—21no—
590C23—24no—
591C23—41no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—816no—
604C23—82no—
605C23C5×#12011yescharacteristic
606C23C5×#12011yescharacteristic
607C23C22×C5×D411yescharacteristic
608Q8—42no—
609Q8—41no—
610Q8—42no—
611Q8—82no—
612D4—24no—
613D4—24no—
614D4—41no—
615D4—42no—
616D4—42no—
617D4—44no—
618D4—44no—
619D4—42no—
620D4—42no—
621D4—44no—
622D4—42no—
623D4—81no—
624D4—82no—
625D4—81no—
626D4—82no—
627D4—82no—
628D4—816no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—81no—
648C2×C4—82no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4C5×#12011yescharacteristic
652C2×C4C5×#12011yescharacteristic
653C2×C4C22×C5×D411yescharacteristic
654C2×C4C22×C5×D411yescharacteristic
655C8—42no—
656C8—42no—
657C5#1825611yescharacteristic, direct product factor, Sylow
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—44no—
666C22—48no—
667C22—41no—
668C22—42no—
669C22—41no—
670C22—42no—
671C22—41no—
672C22—42no—
673C22—44no—
674C22—84no—
675C22—84no—
676C22—88no—
677C22—88no—
678C22—82no—
679C22—82no—
680C22C5×#45312yes—
681C22C2×C5×#12011yescharacteristic
682C22C5×#57712yes—
683C4—21no—
684C4—21no—
685C4—21no—
686C4—44no—
687C4—41no—
688C4—42no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—42no—
693C4C5×B(4,𝔽2)12yes—
694C2—22no—
695C2—22no—
696C2—41no—
697C2—84no—
698C2—82no—
699C2—81no—
700C2C5×#301011yescharacteristic
701C2C2×C5×#45311yescharacteristic
702C2C2×C5×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC22×C4C24×C5
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C5 ◁ C23×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#3536C2semidirect
2. C5×#3003C2semidirect
3. C2×C5×#450C2semidirect
4. C5×#2433C2semidirect
5. C5×#1600C2semidirect
6. C5×#1596C2semidirect
7. C5×#1508C2semidirect
8. C5×#1501C2semidirect
9. C5×#1471C2semidirect
19. C5×#543C22semidirect
22. C5×#538C22semidirect
43. C5×#328C22semidirect
44. C5×#328C22semidirect
45. C5×#327C22semidirect
46. C5×#323C22semidirect
47. #18256C5direct (N × H)
51. C2×C5×#41D4semidirect
52. C22×C5×Q8D4semidirect
92. C5×C22⋊Q8D4semidirect
93. C5×C22⋊Q8D4semidirect
106. C5×#121D4semidirect
117. C5×#117D4semidirect
121. C2×C5×C4⋊C4D4semidirect
136. #3536C2×C5semidirect
137. #3003C2×C5semidirect
138. C2×#450C2×C5semidirect
139. #2433C2×C5semidirect
140. #1600C2×C5semidirect
141. #1596C2×C5semidirect
142. #1508C2×C5semidirect
143. #1501C2×C5semidirect
144. #1471C2×C5semidirect
253. #543C22×C5semidirect
256. #538C22×C5semidirect
277. #328C22×C5semidirect
278. #328C22×C5semidirect
279. #327C22×C5semidirect
280. #323C22×C5semidirect
356. C2×#41C5×D4semidirect
357. C22×Q8C5×D4semidirect
397. C22⋊Q8C5×D4semidirect
398. C22⋊Q8C5×D4semidirect
411. #121C5×D4semidirect
422. #117C5×D4semidirect
426. C2×C4⋊C4C5×D4semidirect
657. C5#18256direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35362
C5×#30032
C2×C5×#4502
C5×#24332
C5×#16002
C5×#15962
C5×#15082
C5×#15012
C5×#14712
#182565