C₁₃×C₃₇×C₅⋊D₅ #37562558

order	24050
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₃₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₁₃×C₃₇×C₅⋊D₅
unambiguous semidirect product	C₅⋊(D₅×C₁₃×C₃₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₃₇	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₁₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₅²×C₁₃×C₃₇	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₁₃×C₃₇

64 conjugacy classes of subgroups.

μ_t(G) = 12025

6734 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24050, 17);