Subgroups — D₅×#15692423 #44570419

Order 32490.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#15692423	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₅×C₃₆₁	C₃	1	1	yes	maximal, characteristic
3	C₂×#15692423	—	5	1	no	maximal, Hall
4	C₃×C₅×C₃₆₁	C₂×C₃	1	1	yes	characteristic
5	D₅×C₃₆₁	C₉	1	1	yes	characteristic, complemented, Hall
6	#15692423	D₅	1	1	yes	characteristic, direct product factor, Hall
7	C₂×C₃×C₃₆₁	—	5	1	no	—
8	C₅×C₃₆₁	C₂×C₉	1	1	yes	characteristic, complemented, Hall
9	D₅×#4294	—	19	1	no	maximal
10	C₃×C₃₆₁	C₃×D₅	1	1	yes	characteristic
11	C₅×#4294	—	19	1	no	—
12	C₂×C₃₆₁	—	5	1	no	Hall
13	C₃×D₅×C₁₉	C₁₉⋊C₃	1	1	yes	characteristic
14	C₃₆₁	C₉×D₅	1	1	yes	characteristic, complemented, Sylow
15	C₂×#4294	—	95	1	no	—
16	C₃×C₅×C₁₉	C₂×C₁₉⋊C₃	1	1	yes	characteristic
17	D₅×C₁₉	#4294	1	1	yes	characteristic
18	#4294	—	19	1	no	—
19	C₂×C₃×C₁₉	—	5	1	no	—
20	C₅×C₁₉	C₂×#4294	1	1	yes	characteristic
21	C₉×D₅	—	361	1	no	Hall
22	C₃×C₁₉	D₅×C₁₉⋊C₃	1	1	yes	characteristic
23	C₅×C₉	—	361	1	no	Hall
24	C₂×C₁₉	—	5	1	no	—
25	C₃×D₅	C₃₆₁⋊C₃	1	1	yes	characteristic
26	C₁₉	D₅×#4294	1	1	yes	characteristic
27	C₂×C₉	—	1805	1	no	Hall
28	C₃×C₅	C₂×C₃₆₁⋊C₃	1	1	yes	characteristic
29	D₅	#15692423	1	1	yes	characteristic, direct product factor, Hall
30	C₉	—	361	1	no	Sylow
31	C₂×C₃	—	5	1	no	—
32	C₅	C₂×#15692423	1	1	yes	characteristic, complemented, Sylow
33	C₃	D₅×C₃₆₁⋊C₃	1	1	yes	characteristic
34	C₂	—	5	1	no	Sylow

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

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