Finite Group Databasebeta

← C5×#24007 #11946727

Subgroups — C5×#24007 #11946727

Order 1280.

1520 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#525C211yesmaximal, characteristic
2C2×C5×#484C211yesmaximal, characteristic, complemented
3C2×C5×#481C211yesmaximal, characteristic, complemented
4C2×C5×#380C211yesmaximal, characteristic, complemented
5C5×#2035C212yesmaximal, complemented
6C5×#2033C212yesmaximal, complemented
7C5×#1874C211yesmaximal, characteristic, complemented
8C5×#1872C211yesmaximal, characteristic, complemented
9C5×#1854C212yesmaximal, complemented
10C5×#1788C212yesmaximal, complemented
11C5×#1779C211yesmaximal, characteristic, complemented
12C22×C5×#41C2211yescharacteristic
13C24×C4×C5C2211yescharacteristic
14C5×#525—24no—
15C5×#525—24no—
16C2×C5×#123—21no—
17C2×C5×C22⋊Q8C2211yescharacteristic
18C2×C5×C22⋊Q8C2211yescharacteristic
19C2×C5×#121C2211yescharacteristic
20C2×C5×#121C2211yescharacteristic
21C2×C5×#120—21no—
22C2×C4×C5×D4—21no—
23C2×C4×C5×D4—21no—
24C2×C5×#117C2211yescharacteristic
25C22×C5×C4⋊C4C2211yescharacteristic
26C22×C5×C4⋊C4C2211yescharacteristic
27C22×C5×C22⋊C4—21no—
28C5×#484—24no—
29C5×#481—24no—
30C2×C5×#107C2212yescomplemented
31C2×C5×#106C2212yescomplemented
32C2×C5×#103C2212yescomplemented
33C2×C5×#103C2212yescomplemented
34C2×C5×#102C2212yescomplemented
35C2×C5×#102C2212yescomplemented
36C2×C5×C22⋊C8C2212yes—
37C2×C5×C22⋊C8C2211yescharacteristic
38C2×C5×C22⋊C8C2211yescharacteristic
39C2×C5×C22⋊C8C2212yes—
40C5×#380—21no—
41C5×#380—21no—
42C5×#380C2212yes—
43C5×#380C2212yes—
44C2×C5×#95—21no—
45C5×#340C2212yescomplemented
46C5×#340C2212yescomplemented
47#24007C511yesmaximal, characteristic, direct product factor, Sylow
48C25×C5D411yescharacteristic
49C2×C5×#41—22no—
50C2×C5×#41—22no—
51C2×C5×#41—24no—
52C2×C5×#41—42no—
53C22×C5×Q8C2311yescharacteristic
54C22×C5×D4—21no—
55C22×C5×D4—21no—
56C22×C5×D4—21no—
57C22×C5×D4C2311yescharacteristic
58C23×C4×C5—21no—
59C23×C4×C5—22no—
60C23×C4×C5—22no—
61C23×C4×C5—24no—
62C23×C4×C5—21no—
63C23×C4×C5—21no—
64C23×C4×C5—42no—
65C23×C4×C5D411yescharacteristic
66C23×C4×C5D411yescharacteristic
67C23×C4×C5D411yescharacteristic
68C23×C4×C5C2311yescharacteristic
69C23×C4×C5C2311yescharacteristic
70C23×C4×C5C2311yescharacteristic
71C22×C5×C8C2312yes—
72C22×C5×C8C2312yes—
73C5×#123—28no—
74C5×C22⋊Q8—22no—
75C5×C22⋊Q8—22no—
76C5×C22⋊Q8—22no—
77C5×C22⋊Q8D414yes—
78C5×#121—22no—
79C5×#121—22no—
80C5×#121—22no—
81C5×#121D414yes—
82C5×#120—28no—
83C4×C5×D4—28no—
84C4×C5×D4—28no—
85C5×#117—22no—
86C5×#117—22no—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4—21no—
89C2×C5×C4⋊C4—22no—
90C2×C5×C4⋊C4—22no—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—42no—
94C2×C5×C4⋊C4C2312yes—
95C2×C5×C4⋊C4C2312yes—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C22⋊C4—21no—
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C5×C22⋊C4—22no—
104C2×C5×C22⋊C4—22no—
105C2×C5×C22⋊C4—44no—
106C2×C42×C5—21no—
107C5×#107—24no—
108C5×#106—24no—
109C5×#103—24no—
110C5×#103—42no—
111C5×#102—24no—
112C5×#102—42no—
113C5×C22⋊C8—22no—
114C5×C22⋊C8—22no—
115C5×C22⋊C8—24no—
116C5×C22⋊C8—42no—
117C5×#95—22no—
118C5×#95—22no—
119C2×#525C2×C511yescharacteristic
120C2×#484C2×C511yescharacteristic, complemented
121C2×#481C2×C511yescharacteristic, complemented
122C2×#380C2×C511yescharacteristic, complemented
123#2035C2×C512yescomplemented
124#2033C2×C512yescomplemented
125#1874C2×C511yescharacteristic, complemented
126#1872C2×C511yescharacteristic, complemented
127#1854C2×C512yescomplemented
128#1788C2×C512yescomplemented
129#1779C2×C511yescharacteristic, complemented
130C24×C5—22no—
131C24×C5—22no—
132C24×C5—22no—
133C24×C5—22no—
134C24×C5—22no—
135C24×C5—21no—
136C24×C5—41no—
137C24×C5—41no—
138C24×C5C2×D411yescharacteristic
139C24×C5C2×D411yescharacteristic
140C24×C5C2×D411yescharacteristic
141C5×#41—48no—
142C5×#41—48no—
143C2×C5×Q8—21no—
144C2×C5×Q8—22no—
145C2×C5×Q8—22no—
146C2×C5×Q8C2×D412yes—
147C2×C5×D4—24no—
148C2×C5×D4—24no—
149C2×C5×D4—24no—
150C2×C5×D4—21no—
151C2×C5×D4—22no—
152C2×C5×D4—22no—
153C2×C5×D4—42no—
154C2×C5×D4—42no—
155C2×C5×D4—42no—
156C2×C5×D4—42no—
157C2×C5×D4—42no—
158C2×C5×D4—42no—
159C2×C5×D4C2×D412yes—
160C22×C4×C5—21no—
161C22×C4×C5—21no—
162C22×C4×C5—22no—
163C22×C4×C5—22no—
164C22×C4×C5—22no—
165C22×C4×C5—24no—
166C22×C4×C5—22no—
167C22×C4×C5—22no—
168C22×C4×C5—21no—
169C22×C4×C5—21no—
170C22×C4×C5—21no—
171C22×C4×C5—22no—
172C22×C4×C5—22no—
173C22×C4×C5—22no—
174C22×C4×C5—22no—
175C22×C4×C5—21no—
176C22×C4×C5—21no—
177C22×C4×C5—22no—
178C22×C4×C5—22no—
179C22×C4×C5—22no—
180C22×C4×C5—22no—
181C22×C4×C5—41no—
182C22×C4×C5—41no—
183C22×C4×C5—41no—
184C22×C4×C5—48no—
185C22×C4×C5—48no—
186C22×C4×C5—42no—
187C22×C4×C5—42no—
188C22×C4×C5—42no—
189C22×C4×C5—42no—
190C22×C4×C5—42no—
191C22×C4×C5—42no—
192C22×C4×C5—42no—
193C22×C4×C5—42no—
194C22×C4×C5C2×D411yescharacteristic
195C22×C4×C5C2×D411yescharacteristic
196C22×C4×C5C2×D412yes—
197C22×C4×C5C2×D412yes—
198C22×C4×C5C2×D411yescharacteristic
199C22×C4×C5#4114yes—
200C22×C4×C5C2411yescharacteristic
201C2×C5×C8—22no—
202C2×C5×C8—22no—
203C2×C5×C8—22no—
204C2×C5×C8—22no—
205C2×C5×C8—22no—
206C2×C5×C8—22no—
207C5×C4⋊C4—24no—
208C5×C4⋊C4—24no—
209C5×C4⋊C4—21no—
210C5×C4⋊C4—21no—
211C5×C4⋊C4—22no—
212C5×C4⋊C4—22no—
213C5×C4⋊C4—22no—
214C5×C4⋊C4—22no—
215C5×C4⋊C4—42no—
216C5×C4⋊C4—42no—
217C5×C4⋊C4C2×D412yes—
218C5×C4⋊C4C2×D412yes—
219C5×C22⋊C4—24no—
220C5×C22⋊C4—24no—
221C5×C22⋊C4—24no—
222C5×C22⋊C4—24no—
223C5×C22⋊C4—24no—
224C5×C22⋊C4—44no—
225C5×C22⋊C4—44no—
226C42×C5—24no—
227C22×#41C22×C511yescharacteristic
228C24×C4C22×C511yescharacteristic
229#525—24no—
230#525—24no—
231C2×#123—21no—
232C2×C22⋊Q8C22×C511yescharacteristic
233C2×C22⋊Q8C22×C511yescharacteristic
234C2×#121C22×C511yescharacteristic
235C2×#121C22×C511yescharacteristic
236C2×#120—21no—
237C2×C4×D4—21no—
238C2×C4×D4—21no—
239C2×#117C22×C511yescharacteristic
240C22×C4⋊C4C22×C511yescharacteristic
241C22×C4⋊C4C22×C511yescharacteristic
242C22×C22⋊C4—21no—
243#484—24no—
244#481—24no—
245C2×#107C22×C512yescomplemented
246C2×#106C22×C512yescomplemented
247C2×#103C22×C512yescomplemented
248C2×#103C22×C512yescomplemented
249C2×#102C22×C512yescomplemented
250C2×#102C22×C512yescomplemented
251C2×C22⋊C8C22×C511yescharacteristic
252C2×C22⋊C8C22×C511yescharacteristic
253C2×C22⋊C8C22×C512yes—
254C2×C22⋊C8C22×C512yes—
255#380—21no—
256#380—21no—
257#380C22×C512yes—
258#380C22×C512yes—
259C2×#95—21no—
260#340C22×C512yescomplemented
261#340C22×C512yescomplemented
262C23×C5—21no—
263C23×C5—21no—
264C23×C5—21no—
265C23×C5—21no—
266C23×C5—28no—
267C23×C5—21no—
268C23×C5—21no—
269C23×C5—21no—
270C23×C5—21no—
271C23×C5—21no—
272C23×C5—21no—
273C23×C5—21no—
274C23×C5—21no—
275C23×C5—21no—
276C23×C5—21no—
277C23×C5—21no—
278C23×C5—21no—
279C23×C5—22no—
280C23×C5—44no—
281C23×C5—44no—
282C23×C5—44no—
283C23×C5—44no—
284C23×C5—44no—
285C23×C5—44no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5—41no—
291C23×C5—41no—
292C23×C5#12012yes—
293C23×C5#12312yes—
294C23×C5#13512yes—
295C23×C5AGL(1,ℤ/8)12yes—
296C23×C5#13712yes—
297C23×C5C22×D411yescharacteristic
298C5×Q8—24no—
299C5×Q8—42no—
300C5×D4—24no—
301C5×D4—48no—
302C5×D4—48no—
303C5×D4—48no—
304C5×D4—42no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—24no—
310C2×C4×C5—24no—
311C2×C4×C5—24no—
312C2×C4×C5—24no—
313C2×C4×C5—22no—
314C2×C4×C5—22no—
315C2×C4×C5—21no—
316C2×C4×C5—22no—
317C2×C4×C5—21no—
318C2×C4×C5—21no—
319C2×C4×C5—44no—
320C2×C4×C5—44no—
321C2×C4×C5—44no—
322C2×C4×C5—48no—
323C2×C4×C5—41no—
324C2×C4×C5—41no—
325C2×C4×C5—41no—
326C2×C4×C5—41no—
327C2×C4×C5—41no—
328C2×C4×C5—41no—
329C2×C4×C5—42no—
330C2×C4×C5—42no—
331C2×C4×C5—42no—
332C2×C4×C5—42no—
333C2×C4×C5—42no—
334C2×C4×C5—42no—
335C2×C4×C5—42no—
336C2×C4×C5—42no—
337C2×C4×C5—84no—
338C2×C4×C5—84no—
339C2×C4×C5#12012yes—
340C2×C4×C5#12312yes—
341C2×C4×C5C22×D411yescharacteristic
342C2×C4×C5C22×D411yescharacteristic
343C2×C4×C5C2×#4112yes—
344C2×C4×C5H(5,𝔽2)12yes—
345C5×C8—42no—
346C5×C8—42no—
347C25C5×D411yescharacteristic
348C2×#41—22no—
349C2×#41—22no—
350C2×#41—24no—
351C2×#41—42no—
352C22×Q8C23×C511yescharacteristic
353C22×D4—21no—
354C22×D4—21no—
355C22×D4—21no—
356C22×D4C23×C511yescharacteristic
357C23×C4—21no—
358C23×C4—22no—
359C23×C4—22no—
360C23×C4—24no—
361C23×C4—21no—
362C23×C4—21no—
363C23×C4—42no—
364C23×C4C5×D411yescharacteristic
365C23×C4C5×D411yescharacteristic
366C23×C4C5×D411yescharacteristic
367C23×C4C23×C511yescharacteristic
368C23×C4C23×C511yescharacteristic
369C23×C4C23×C511yescharacteristic
370C22×C8C23×C512yes—
371C22×C8C23×C512yes—
372#123—28no—
373C22⋊Q8—22no—
374C22⋊Q8—22no—
375C22⋊Q8—22no—
376C22⋊Q8C5×D414yes—
377#121—22no—
378#121—22no—
379#121—22no—
380#121C5×D414yes—
381#120—28no—
382C4×D4—28no—
383C4×D4—28no—
384#117—22no—
385#117—22no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—42no—
393C2×C4⋊C4C23×C512yes—
394C2×C4⋊C4C23×C512yes—
395C2×C4⋊C4C23×C511yescharacteristic
396C2×C4⋊C4C23×C511yescharacteristic
397C2×C22⋊C4—21no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—44no—
405C2×C42—21no—
406#107—24no—
407#106—24no—
408#103—24no—
409#103—42no—
410#102—24no—
411#102—42no—
412C22⋊C8—22no—
413C22⋊C8—22no—
414C22⋊C8—24no—
415C22⋊C8—42no—
416#95—22no—
417#95—22no—
418C22×C5—22no—
419C22×C5—22no—
420C22×C5—22no—
421C22×C5—22no—
422C22×C5—22no—
423C22×C5—22no—
424C22×C5—22no—
425C22×C5—22no—
426C22×C5—22no—
427C22×C5—22no—
428C22×C5—22no—
429C22×C5—22no—
430C22×C5—416no—
431C22×C5—41no—
432C22×C5—41no—
433C22×C5—41no—
434C22×C5—41no—
435C22×C5—41no—
436C22×C5—41no—
437C22×C5—41no—
438C22×C5—41no—
439C22×C5—42no—
440C22×C5—42no—
441C22×C5—42no—
442C22×C5—81no—
443C22×C5—81no—
444C22×C5—81no—
445C22×C5—81no—
446C22×C5#45214yes—
447C22×C5C2×#12011yescharacteristic
448C22×C5C2×#12311yescharacteristic
449C22×C5#53411yescharacteristic
450C22×C5C2×#13511yescharacteristic
451C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
452C22×C5C2×#13711yescharacteristic
453C22×C5#57511yescharacteristic
454C4×C5—22no—
455C4×C5—22no—
456C4×C5—41no—
457C4×C5—42no—
458C4×C5—42no—
459C4×C5—42no—
460C4×C5—82no—
461C4×C5—82no—
462C4×C5#54612yes—
463C4×C5#54612yes—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—21no—
470C24—41no—
471C24—41no—
472C24C2×C5×D411yescharacteristic
473C24C2×C5×D411yescharacteristic
474C24C2×C5×D411yescharacteristic
475#41—48no—
476#41—48no—
477C2×Q8—21no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8C2×C5×D412yes—
481C2×D4—24no—
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—21no—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4C2×C5×D412yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4C2×C5×D411yescharacteristic
529C22×C4C2×C5×D411yescharacteristic
530C22×C4C2×C5×D412yes—
531C22×C4C2×C5×D412yes—
532C22×C4C2×C5×D411yescharacteristic
533C22×C4C5×#4114yes—
534C22×C4C24×C511yescharacteristic
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4C2×C5×D412yes—
552C4⋊C4C2×C5×D412yes—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C42—24no—
561C2×C5—24no—
562C2×C5—42no—
563C2×C5—42no—
564C2×C5—82no—
565C2×C5#240511yescharacteristic
566C2×C5C2×#45211yescharacteristic
567C2×C5#300611yescharacteristic
568C2×C5#309111yescharacteristic
569C2×C5#309211yescharacteristic
570C2×C5#318811yescharacteristic
571C2×C5#319611yescharacteristic
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—28no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23C5×#12012yes—
603C23C5×#12312yes—
604C23C5×#13512yes—
605C23C5×AGL(1,ℤ/8)12yes—
606C23C5×#13712yes—
607C23C22×C5×D411yescharacteristic
608Q8—24no—
609Q8—42no—
610D4—24no—
611D4—48no—
612D4—48no—
613D4—48no—
614D4—42no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—48no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—84no—
648C2×C4—84no—
649C2×C4C5×#12012yes—
650C2×C4C5×#12312yes—
651C2×C4C22×C5×D411yescharacteristic
652C2×C4C22×C5×D411yescharacteristic
653C2×C4C2×C5×#4112yes—
654C2×C4C5×H(5,𝔽2)12yes—
655C8—42no—
656C8—42no—
657C5#2400711yescharacteristic, direct product factor, Sylow
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—416no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22C5×#45214yes—
687C22C2×C5×#12011yescharacteristic
688C22C2×C5×#12311yescharacteristic
689C22C5×#53411yescharacteristic
690C22C2×C5×#13511yescharacteristic
691C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
692C22C2×C5×#13711yescharacteristic
693C22C5×#57511yescharacteristic
694C4—22no—
695C4—22no—
696C4—42no—
697C4—42no—
698C4—41no—
699C4—42no—
700C4—82no—
701C4—82no—
702C4C5×#54612yes—
703C4C5×#54612yes—
704C2—24no—
705C2—42no—
706C2—42no—
707C2—82no—
708C2C5×#240511yescharacteristic
709C2C2×C5×#45211yescharacteristic
710C2C5×#300611yescharacteristic
711C2C5×#309111yescharacteristic
712C2C5×#309211yescharacteristic
713C2C5×#318811yescharacteristic
714C2C5×#319611yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC2×C5×#525C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C24×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C5×#484C2semidirect
3. C2×C5×#481C2semidirect
4. C2×C5×#380C2semidirect
5. C5×#2035C2semidirect
6. C5×#2033C2semidirect
7. C5×#1874C2semidirect
8. C5×#1872C2semidirect
9. C5×#1854C2semidirect
10. C5×#1788C2semidirect
11. C5×#1779C2semidirect
30. C2×C5×#107C22semidirect
31. C2×C5×#106C22semidirect
32. C2×C5×#103C22semidirect
33. C2×C5×#103C22semidirect
34. C2×C5×#102C22semidirect
35. C2×C5×#102C22semidirect
45. C5×#340C22semidirect
46. C5×#340C22semidirect
47. #24007C5direct (N × H)
120. C2×#484C2×C5semidirect
121. C2×#481C2×C5semidirect
122. C2×#380C2×C5semidirect
123. #2035C2×C5semidirect
124. #2033C2×C5semidirect
125. #1874C2×C5semidirect
126. #1872C2×C5semidirect
127. #1854C2×C5semidirect
128. #1788C2×C5semidirect
129. #1779C2×C5semidirect
245. C2×#107C22×C5semidirect
246. C2×#106C22×C5semidirect
247. C2×#103C22×C5semidirect
248. C2×#103C22×C5semidirect
249. C2×#102C22×C5semidirect
250. C2×#102C22×C5semidirect
260. #340C22×C5semidirect
261. #340C22×C5semidirect
657. C5#24007direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5252
C2×C5×#4842
C2×C5×#4812
C2×C5×#3802
C5×#20352
C5×#20332
C5×#18742
C5×#18722
C5×#18542
C5×#17882
C5×#17792
#240075