C₅⋊D₅×C₆₇⋊C₉ #44474629

order	30150
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅⋊D₅×C₆₇⋊C₉
unambiguous semidirect product	C₅⋊(D₅×C₆₇⋊C₉)

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₅⋊D₅×C₆₇⋊C₃
commutator, hypocenter	C₅²×C₆₇	C₂×C₉
Fitting, socle, cosocle	C₃×C₅²×C₆₇	C₂×C₃
prime radical	C₃×C₅⋊D₅×C₆₇	C₃
LCS	G ▷ C₅²×C₆₇
UCS	C₁ ◁ C₃

96 conjugacy classes of subgroups.

μ_t(G) = 15075

1050 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30150, 38);