Subgroups — C₁₃⋊#3874 #14519604

Order 1950.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×C₅²⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₅×D₆₅	—	3	1	no	maximal, Hall
3	C₅²×C₁₃	D₃	1	1	yes	characteristic, complemented, Hall
4	#3874	—	13	1	no	maximal, Hall
5	D₆₅	—	3	1	no	—
6	C₅×D₁₃	—	15	1	no	—
7	D₃₉	—	25	1	no	maximal, Hall
8	C₅²⋊C₃	D₁₃	1	1	yes	characteristic, complemented, Hall
9	C₅×C₁₃	—	3	1	no	—
10	C₅×C₁₃	—	3	1	no	—
11	C₅×D₅	—	39	1	no	Hall
12	C₃×C₁₃	—	25	1	no	Hall
13	D₁₃	—	15	1	no	Hall
14	C₅²	D₃₉	1	1	yes	characteristic, complemented, Sylow
15	C₁₃	#3874	1	1	yes	characteristic, complemented, Sylow
16	C₂×C₅	—	195	1	no	—
17	D₅	—	39	1	no	—
18	D₃	—	325	1	no	Hall
19	C₅	—	3	1	no	—
20	C₅	—	3	1	no	—
21	C₃	—	25	1	no	Sylow
22	C₂	—	195	1	no	Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, cosocle, hypocenter	C₁₃×C₅²⋊C₃	C₂
Fitting, socle	C₅²×C₁₃	D₃
LCS	G ▷ C₁₃×C₅²⋊C₃
UCS	C₁

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.