Finite Group Databasebeta

← C2×C5×#3491 #11985495

Subgroups — C2×C5×#3491 #11985495

Order 1280.

7390 conjugacy classes of subgroups.

The subgroup lattice has 488 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3491C2132yesmaximal, direct product factor
2C2×C5×#552C218yesmaximal, complemented
3C2×C5×#551C218yesmaximal, complemented
4C2×C5×#543C211yesmaximal, characteristic, complemented
5C2×C5×#539C214yesmaximal, complemented
6C2×C5×#534C211yesmaximal, characteristic
7C2×C5×#529C214yesmaximal, complemented
8C22×C5×#123C212yesmaximal, complemented
9C2×C5×#518C212yesmaximal, complemented
10C22×C5×#117C211yesmaximal, characteristic, complemented
11C23×C5×D4C2212yes—
12C24×C4×C5C2211yescharacteristic
13C5×#552C221128yescomplemented
14C5×#551C221128yescomplemented
15C5×#543C22116yescomplemented
16C5×#539C22164yescomplemented
17C5×#534C22116yes—
18C5×#529C22164yescomplemented
19C2×C5×#126C2218yescomplemented
20C2×C5×#126C2218yescomplemented
21C2×C5×#125C2214yescomplemented
22C2×C5×#125C2218yescomplemented
23C2×C5×#124C2214yescomplemented
24C2×C5×#123C2218yes—
25C2×C5×#123C2214yes—
26C2×C5×#123C2214yescomplemented
27C2×C5×#123C2214yescomplemented
28C2×C5×#123C2218yescomplemented
29C2×C5×#123C22132yescomplemented
30C2×C5×C22⋊Q8C2214yescomplemented
31C2×C5×C22⋊Q8C2218yescomplemented
32C2×C5×C22⋊Q8C2218yescomplemented
33C2×C5×#121C2214yes—
34C2×C5×#120C2214yes—
35C5×#518C22132yescomplemented
36C2×C4×C5×Q8C2214yescomplemented
37C2×C4×C5×D4C2218yes—
38C2×C4×C5×D4C2218yescomplemented
39C2×C4×C5×D4C2214yescomplemented
40C2×C5×#117C2218yescomplemented
41C2×C5×#117C2214yescomplemented
42C2×C5×#117C2218yescomplemented
43C2×C5×#117C22116yescomplemented
44C22×C5×C4⋊C4C2212yescomplemented
45C22×C5×C4⋊C4C2214yescomplemented
46C22×C5×C22⋊C4C2211yescharacteristic
47C22×C5×C22⋊C4C2211yescharacteristic
48C22×C5×C22⋊C4C2212yes—
49C22×C5×C22⋊C4C2214yescomplemented
50C22×C5×C22⋊C4C2214yescomplemented
51C22×C42×C5C2212yescomplemented
52C2×#3491C511yesmaximal, characteristic, direct product factor, Sylow
53C25×C5C2312yes—
54C25×C5C2311yescharacteristic
55C22×C5×Q8C2314yes—
56C22×C5×D4—216no—
57C22×C5×D4C2314yes—
58C22×C5×D4C2314yes—
59C22×C5×D4C23116yes—
60C22×C5×D4C2314yes—
61C23×C4×C5—28no—
62C23×C4×C5C2311yescharacteristic
63C23×C4×C5C2314yes—
64C23×C4×C5C2312yes—
65C23×C4×C5C2311yescharacteristic
66C23×C4×C5C2318yes—
67C23×C4×C5C2312yes—
68C23×C4×C5C2312yes—
69C23×C4×C5C2314yes—
70C23×C4×C5C2318yes—
71C5×#126C23164yescomplemented
72C5×#126C23164yescomplemented
73C5×#125C23132yescomplemented
74C5×#125C23164yescomplemented
75C5×#124C23132yescomplemented
76C5×#123C23164yes—
77C5×#123C23132yes—
78C5×#123C23132yescomplemented
79C5×#123C23132yescomplemented
80C5×#123C23164yescomplemented
81C5×C22⋊Q8C23132yescomplemented
82C5×C22⋊Q8C23164yescomplemented
83C5×C22⋊Q8C23164yescomplemented
84C5×#121C23132yes—
85C5×#120C23132yes—
86C4×C5×Q8C23132yescomplemented
87C4×C5×D4C23164yes—
88C4×C5×D4C23164yescomplemented
89C4×C5×D4C23132yescomplemented
90C5×#117C23164yescomplemented
91C5×#117C23132yescomplemented
92C5×#117C23164yescomplemented
93C2×C5×C4⋊C4C2318yes—
94C2×C5×C4⋊C4C2318yes—
95C2×C5×C4⋊C4C2318yes—
96C2×C5×C4⋊C4C2318yes—
97C2×C5×C4⋊C4C2318yes—
98C2×C5×C4⋊C4C2314yes—
99C2×C5×C4⋊C4C2314yes—
100C2×C5×C4⋊C4C23116yescomplemented
101C2×C5×C4⋊C4C23132yescomplemented
102C2×C5×C22⋊C4C2314yes—
103C2×C5×C22⋊C4C2314yes—
104C2×C5×C22⋊C4C2318yes—
105C2×C5×C22⋊C4C2314yes—
106C2×C5×C22⋊C4C2318yes—
107C2×C5×C22⋊C4C2314yes—
108C2×C5×C22⋊C4C23116yes—
109C2×C5×C22⋊C4C2318yes—
110C2×C5×C22⋊C4C2318yes—
111C2×C5×C22⋊C4C2318yes—
112C2×C5×C22⋊C4C2318yes—
113C2×C5×C22⋊C4C23132yescomplemented
114C2×C5×C22⋊C4C23132yescomplemented
115C2×C42×C5C2314yes—
116C2×C42×C5C2314yes—
117C2×C42×C5C2318yes—
118C2×C42×C5C23116yescomplemented
119#3491C2×C5132yesdirect product factor
120C2×#552C2×C518yescomplemented
121C2×#551C2×C518yescomplemented
122C2×#543C2×C511yescharacteristic, complemented
123C2×#539C2×C514yescomplemented
124C2×#534C2×C511yescharacteristic
125C2×#529C2×C514yescomplemented
126C22×#123C2×C512yescomplemented
127C2×#518C2×C512yescomplemented
128C22×#117C2×C511yescharacteristic, complemented
129C24×C5—28no—
130C24×C5—44no—
131C24×C5—48no—
132C24×C5#4118yes—
133C24×C5C2414yes—
134C24×C5C2412yes—
135C24×C5C2411yescharacteristic
136C24×C5C2418yes—
137C24×C5C2414yes—
138C2×C5×Q8—48no—
139C2×C5×Q8C24116yes—
140C2×C5×D4—216no—
141C2×C5×D4—216no—
142C2×C5×D4—264no—
143C2×C5×D4—48no—
144C2×C5×D4C24116yes—
145C2×C5×D4C24116yes—
146C2×C5×D4C24116yes—
147C22×C4×C5—216no—
148C22×C4×C5—24no—
149C22×C4×C5—24no—
150C22×C4×C5—232no—
151C22×C4×C5—28no—
152C22×C4×C5—44no—
153C22×C4×C5—416no—
154C22×C4×C5—48no—
155C22×C4×C5—44no—
156C22×C4×C5C2414yes—
157C22×C4×C5C24116yes—
158C22×C4×C5C2418yes—
159C22×C4×C5C2414yes—
160C22×C4×C5C2412yes—
161C22×C4×C5C2414yes—
162C22×C4×C5C2414yes—
163C22×C4×C5C2414yes—
164C22×C4×C5C2418yes—
165C22×C4×C5C2412yes—
166C22×C4×C5C2418yes—
167C22×C4×C5C2418yes—
168C22×C4×C5C24116yes—
169C22×C4×C5C24132yes—
170C5×C4⋊C4C24132yes—
171C5×C4⋊C4C24132yes—
172C5×C4⋊C4C24132yes—
173C5×C4⋊C4C24132yes—
174C5×C4⋊C4C24132yes—
175C5×C4⋊C4C24116yes—
176C5×C4⋊C4C24116yes—
177C5×C22⋊C4C24116yes—
178C5×C22⋊C4C24116yes—
179C5×C22⋊C4C24116yes—
180C5×C22⋊C4C24116yes—
181C5×C22⋊C4C24132yes—
182C5×C22⋊C4C24132yes—
183C5×C22⋊C4C24132yes—
184C5×C22⋊C4C24132yes—
185C42×C5C24116yes—
186C42×C5C24116yes—
187C42×C5C24132yes—
188C23×D4C22×C512yes—
189C24×C4C22×C511yescharacteristic
190#552C22×C51128yescomplemented
191#551C22×C51128yescomplemented
192#543C22×C5116yescomplemented
193#539C22×C5164yescomplemented
194#534C22×C5116yes—
195#529C22×C5164yescomplemented
196C2×#126C22×C518yescomplemented
197C2×#126C22×C518yescomplemented
198C2×#125C22×C514yescomplemented
199C2×#125C22×C518yescomplemented
200C2×#124C22×C514yescomplemented
201C2×#123C22×C518yes—
202C2×#123C22×C514yes—
203C2×#123C22×C514yescomplemented
204C2×#123C22×C514yescomplemented
205C2×#123C22×C518yescomplemented
206C2×#123C22×C5132yescomplemented
207C2×C22⋊Q8C22×C514yescomplemented
208C2×C22⋊Q8C22×C518yescomplemented
209C2×C22⋊Q8C22×C518yescomplemented
210C2×#121C22×C514yes—
211C2×#120C22×C514yes—
212#518C22×C5132yescomplemented
213C2×C4×Q8C22×C514yescomplemented
214C2×C4×D4C22×C518yes—
215C2×C4×D4C22×C518yescomplemented
216C2×C4×D4C22×C514yescomplemented
217C2×#117C22×C518yescomplemented
218C2×#117C22×C514yescomplemented
219C2×#117C22×C518yescomplemented
220C2×#117C22×C5116yescomplemented
221C22×C4⋊C4C22×C512yescomplemented
222C22×C4⋊C4C22×C514yescomplemented
223C22×C22⋊C4C22×C511yescharacteristic
224C22×C22⋊C4C22×C511yescharacteristic
225C22×C22⋊C4C22×C512yes—
226C22×C22⋊C4C22×C514yescomplemented
227C22×C22⋊C4C22×C514yescomplemented
228C22×C42C22×C512yescomplemented
229C23×C5—24no—
230C23×C5—28no—
231C23×C5—28no—
232C23×C5—216no—
233C23×C5—216no—
234C23×C5—416no—
235C23×C5—48no—
236C23×C5—416no—
237C23×C5—816no—
238C23×C5C2×#4118yes—
239C23×C5C2×#4114yes—
240C23×C5C2×#41116yes—
241C23×C5C2518yes—
242C23×C5C2514yes—
243C23×C5C2512yes—
244C23×C5C2511yescharacteristic
245C5×Q8—416no—
246C5×D4—232no—
247C5×D4—232no—
248C5×D4—416no—
249C2×C4×C5—232no—
250C2×C4×C5—28no—
251C2×C4×C5—28no—
252C2×C4×C5—24no—
253C2×C4×C5—24no—
254C2×C4×C5—216no—
255C2×C4×C5—28no—
256C2×C4×C5—28no—
257C2×C4×C5—216no—
258C2×C4×C5—28no—
259C2×C4×C5—48no—
260C2×C4×C5—432no—
261C2×C4×C5—416no—
262C2×C4×C5—48no—
263C2×C4×C5C2514yes—
264C2×C4×C5C2518yes—
265C2×C4×C5C2518yes—
266C2×C4×C5C2518yes—
267C2×C4×C5C25116yes—
268C2×C4×C5C2514yes—
269C25C23×C512yes—
270C25C23×C511yescharacteristic
271C22×Q8C23×C514yes—
272C22×D4—216no—
273C22×D4C23×C514yes—
274C22×D4C23×C514yes—
275C22×D4C23×C5116yes—
276C22×D4C23×C514yes—
277C23×C4—28no—
278C23×C4C23×C514yes—
279C23×C4C23×C512yes—
280C23×C4C23×C511yescharacteristic
281C23×C4C23×C518yes—
282C23×C4C23×C511yescharacteristic
283C23×C4C23×C514yes—
284C23×C4C23×C512yes—
285C23×C4C23×C512yes—
286C23×C4C23×C518yes—
287#126C23×C5164yescomplemented
288#126C23×C5164yescomplemented
289#125C23×C5132yescomplemented
290#125C23×C5164yescomplemented
291#124C23×C5132yescomplemented
292#123C23×C5164yes—
293#123C23×C5132yes—
294#123C23×C5132yescomplemented
295#123C23×C5132yescomplemented
296#123C23×C5164yescomplemented
297C22⋊Q8C23×C5132yescomplemented
298C22⋊Q8C23×C5164yescomplemented
299C22⋊Q8C23×C5164yescomplemented
300#121C23×C5132yes—
301#120C23×C5132yes—
302C4×Q8C23×C5132yescomplemented
303C4×D4C23×C5164yes—
304C4×D4C23×C5164yescomplemented
305C4×D4C23×C5132yescomplemented
306#117C23×C5164yescomplemented
307#117C23×C5132yescomplemented
308#117C23×C5164yescomplemented
309C2×C4⋊C4C23×C518yes—
310C2×C4⋊C4C23×C518yes—
311C2×C4⋊C4C23×C518yes—
312C2×C4⋊C4C23×C518yes—
313C2×C4⋊C4C23×C518yes—
314C2×C4⋊C4C23×C514yes—
315C2×C4⋊C4C23×C514yes—
316C2×C4⋊C4C23×C5116yescomplemented
317C2×C4⋊C4C23×C5132yescomplemented
318C2×C22⋊C4C23×C514yes—
319C2×C22⋊C4C23×C514yes—
320C2×C22⋊C4C23×C518yes—
321C2×C22⋊C4C23×C514yes—
322C2×C22⋊C4C23×C518yes—
323C2×C22⋊C4C23×C514yes—
324C2×C22⋊C4C23×C5116yes—
325C2×C22⋊C4C23×C518yes—
326C2×C22⋊C4C23×C518yes—
327C2×C22⋊C4C23×C518yes—
328C2×C22⋊C4C23×C518yes—
329C2×C22⋊C4C23×C5132yescomplemented
330C2×C22⋊C4C23×C5132yescomplemented
331C2×C42C23×C514yes—
332C2×C42C23×C518yes—
333C2×C42C23×C514yes—
334C2×C42C23×C5116yescomplemented
335C22×C5—24no—
336C22×C5—28no—
337C22×C5—216no—
338C22×C5—28no—
339C22×C5—28no—
340C22×C5—216no—
341C22×C5—416no—
342C22×C5—416no—
343C22×C5—816no—
344C22×C5C22×#4118yes—
345C22×C5C22×#4114yes—
346C22×C5C22×#4112yes—
347C22×C5#58514yes—
348C22×C5C2611yescharacteristic
349C4×C5—24no—
350C4×C5—24no—
351C4×C5—28no—
352C4×C5—28no—
353C4×C5—216no—
354C4×C5—28no—
355C24—28no—
356C24—44no—
357C24—48no—
358C24C5×#4118yes—
359C24C24×C514yes—
360C24C24×C512yes—
361C24C24×C511yescharacteristic
362C24C24×C518yes—
363C24C24×C514yes—
364C2×Q8—48no—
365C2×Q8C24×C5116yes—
366C2×D4—216no—
367C2×D4—216no—
368C2×D4—264no—
369C2×D4—48no—
370C2×D4C24×C5116yes—
371C2×D4C24×C5116yes—
372C2×D4C24×C5116yes—
373C22×C4—216no—
374C22×C4—24no—
375C22×C4—24no—
376C22×C4—232no—
377C22×C4—28no—
378C22×C4—44no—
379C22×C4—416no—
380C22×C4—48no—
381C22×C4—44no—
382C22×C4C24×C512yes—
383C22×C4C24×C514yes—
384C22×C4C24×C514yes—
385C22×C4C24×C514yes—
386C22×C4C24×C518yes—
387C22×C4C24×C514yes—
388C22×C4C24×C512yes—
389C22×C4C24×C5116yes—
390C22×C4C24×C518yes—
391C22×C4C24×C514yes—
392C22×C4C24×C518yes—
393C22×C4C24×C518yes—
394C22×C4C24×C5116yes—
395C22×C4C24×C5132yes—
396C4⋊C4C24×C5132yes—
397C4⋊C4C24×C5132yes—
398C4⋊C4C24×C5132yes—
399C4⋊C4C24×C5132yes—
400C4⋊C4C24×C5132yes—
401C4⋊C4C24×C5116yes—
402C4⋊C4C24×C5116yes—
403C22⋊C4C24×C5116yes—
404C22⋊C4C24×C5116yes—
405C22⋊C4C24×C5116yes—
406C22⋊C4C24×C5116yes—
407C22⋊C4C24×C5132yes—
408C22⋊C4C24×C5132yes—
409C22⋊C4C24×C5132yes—
410C22⋊C4C24×C5132yes—
411C42C24×C5116yes—
412C42C24×C5116yes—
413C42C24×C5132yes—
414C2×C5—28no—
415C2×C5—24no—
416C2×C5—48no—
417C2×C5#349114yesdirect product factor
418C2×C5C23×#4111yescharacteristic
419C2×C5C2×#58512yes—
420C23—24no—
421C23—28no—
422C23—28no—
423C23—216no—
424C23—216no—
425C23—416no—
426C23—48no—
427C23—416no—
428C23—816no—
429C23C2×C5×#4118yes—
430C23C2×C5×#4114yes—
431C23C2×C5×#41116yes—
432C23C25×C518yes—
433C23C25×C514yes—
434C23C25×C512yes—
435C23C25×C511yescharacteristic
436Q8—416no—
437D4—232no—
438D4—232no—
439D4—416no—
440C2×C4—232no—
441C2×C4—28no—
442C2×C4—28no—
443C2×C4—24no—
444C2×C4—24no—
445C2×C4—216no—
446C2×C4—28no—
447C2×C4—28no—
448C2×C4—216no—
449C2×C4—28no—
450C2×C4—48no—
451C2×C4—432no—
452C2×C4—416no—
453C2×C4—48no—
454C2×C4C25×C514yes—
455C2×C4C25×C518yes—
456C2×C4C25×C518yes—
457C2×C4C25×C518yes—
458C2×C4C25×C5116yes—
459C2×C4C25×C514yes—
460C5C2×#349111yescharacteristic, direct product factor, Sylow
461C22—24no—
462C22—28no—
463C22—216no—
464C22—28no—
465C22—28no—
466C22—216no—
467C22—416no—
468C22—416no—
469C22—816no—
470C22C22×C5×#4118yes—
471C22C22×C5×#4114yes—
472C22C22×C5×#4112yes—
473C22C5×#58514yes—
474C22C26×C511yescharacteristic
475C4—24no—
476C4—24no—
477C4—28no—
478C4—28no—
479C4—216no—
480C4—28no—
481C2—28no—
482C2—24no—
483C2—48no—
484C2C5×#349114yesdirect product factor
485C2C23×C5×#4111yescharacteristic
486C2C2×C5×#58512yes—
subgroupG/H
center, socleC23×C5C25
commutator, Frattini, cosocleC22C26×C5
prime radicalC2×C5×#534C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#3491C2direct (N × H)
2. C2×C5×#552C2semidirect
3. C2×C5×#551C2semidirect
4. C2×C5×#543C2semidirect
5. C2×C5×#539C2semidirect
7. C2×C5×#529C2semidirect
8. C22×C5×#123C2semidirect
9. C2×C5×#518C2semidirect
10. C22×C5×#117C2semidirect
13. C5×#552C22semidirect
14. C5×#551C22semidirect
15. C5×#543C22semidirect
16. C5×#539C22semidirect
18. C5×#529C22semidirect
19. C2×C5×#126C22semidirect
20. C2×C5×#126C22semidirect
21. C2×C5×#125C22semidirect
22. C2×C5×#125C22semidirect
23. C2×C5×#124C22semidirect
26. C2×C5×#123C22semidirect
27. C2×C5×#123C22semidirect
28. C2×C5×#123C22semidirect
29. C2×C5×#123C22semidirect
30. C2×C5×C22⋊Q8C22semidirect
31. C2×C5×C22⋊Q8C22semidirect
32. C2×C5×C22⋊Q8C22semidirect
35. C5×#518C22semidirect
36. C2×C4×C5×Q8C22semidirect
38. C2×C4×C5×D4C22semidirect
39. C2×C4×C5×D4C22semidirect
40. C2×C5×#117C22semidirect
41. C2×C5×#117C22semidirect
42. C2×C5×#117C22semidirect
43. C2×C5×#117C22semidirect
44. C22×C5×C4⋊C4C22semidirect
45. C22×C5×C4⋊C4C22semidirect
49. C22×C5×C22⋊C4C22semidirect
50. C22×C5×C22⋊C4C22semidirect
51. C22×C42×C5C22semidirect
52. C2×#3491C5direct (N × H)
71. C5×#126C23semidirect
72. C5×#126C23semidirect
73. C5×#125C23semidirect
74. C5×#125C23semidirect
75. C5×#124C23semidirect
78. C5×#123C23semidirect
79. C5×#123C23semidirect
80. C5×#123C23semidirect
81. C5×C22⋊Q8C23semidirect
82. C5×C22⋊Q8C23semidirect
83. C5×C22⋊Q8C23semidirect
86. C4×C5×Q8C23semidirect
88. C4×C5×D4C23semidirect
89. C4×C5×D4C23semidirect
90. C5×#117C23semidirect
91. C5×#117C23semidirect
92. C5×#117C23semidirect
100. C2×C5×C4⋊C4C23semidirect
101. C2×C5×C4⋊C4C23semidirect
113. C2×C5×C22⋊C4C23semidirect
114. C2×C5×C22⋊C4C23semidirect
118. C2×C42×C5C23semidirect
119. #3491C2×C5direct (N × H)
120. C2×#552C2×C5semidirect
121. C2×#551C2×C5semidirect
122. C2×#543C2×C5semidirect
123. C2×#539C2×C5semidirect
125. C2×#529C2×C5semidirect
126. C22×#123C2×C5semidirect
127. C2×#518C2×C5semidirect
128. C22×#117C2×C5semidirect
190. #552C22×C5semidirect
191. #551C22×C5semidirect
192. #543C22×C5semidirect
193. #539C22×C5semidirect
195. #529C22×C5semidirect
196. C2×#126C22×C5semidirect
197. C2×#126C22×C5semidirect
198. C2×#125C22×C5semidirect
199. C2×#125C22×C5semidirect
200. C2×#124C22×C5semidirect
203. C2×#123C22×C5semidirect
204. C2×#123C22×C5semidirect
205. C2×#123C22×C5semidirect
206. C2×#123C22×C5semidirect
207. C2×C22⋊Q8C22×C5semidirect
208. C2×C22⋊Q8C22×C5semidirect
209. C2×C22⋊Q8C22×C5semidirect
212. #518C22×C5semidirect
213. C2×C4×Q8C22×C5semidirect
215. C2×C4×D4C22×C5semidirect
216. C2×C4×D4C22×C5semidirect
217. C2×#117C22×C5semidirect
218. C2×#117C22×C5semidirect
219. C2×#117C22×C5semidirect
220. C2×#117C22×C5semidirect
221. C22×C4⋊C4C22×C5semidirect
222. C22×C4⋊C4C22×C5semidirect
226. C22×C22⋊C4C22×C5semidirect
227. C22×C22⋊C4C22×C5semidirect
228. C22×C42C22×C5semidirect
287. #126C23×C5semidirect
288. #126C23×C5semidirect
289. #125C23×C5semidirect
290. #125C23×C5semidirect
291. #124C23×C5semidirect
294. #123C23×C5semidirect
295. #123C23×C5semidirect
296. #123C23×C5semidirect
297. C22⋊Q8C23×C5semidirect
298. C22⋊Q8C23×C5semidirect
299. C22⋊Q8C23×C5semidirect
302. C4×Q8C23×C5semidirect
304. C4×D4C23×C5semidirect
305. C4×D4C23×C5semidirect
306. #117C23×C5semidirect
307. #117C23×C5semidirect
308. #117C23×C5semidirect
316. C2×C4⋊C4C23×C5semidirect
317. C2×C4⋊C4C23×C5semidirect
329. C2×C22⋊C4C23×C5semidirect
330. C2×C22⋊C4C23×C5semidirect
334. C2×C42C23×C5semidirect
417. C2×C5#3491direct (N × H)
460. C5C2×#3491direct (N × H)
484. C2C5×#3491direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#34912
C2×C5×#5522
C2×C5×#5512
C2×C5×#5432
C2×C5×#5392
C2×C5×#5342
C2×C5×#5292
C22×C5×#1232
C2×C5×#5182
C22×C5×#1172
C2×#34915