C₃×C₁₃×C₅⋊D₉₅ #49150324

order	37050
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₃×C₁₃×C₅⋊D₉₅
unambiguous semidirect product	C₅⋊(C₃×C₁₃×D₉₅)

	subgroup	G/H
center, hypercenter	C₃×C₁₃	C₅⋊D₉₅
commutator, cosocle, hypocenter	C₅²×C₁₉	C₂×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₉	C₂
LCS	G ▷ C₅²×C₁₉
UCS	C₁ ◁ C₃×C₁₃

128 conjugacy classes of subgroups.

μ_t(G) = 18525

9321 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37050, 150);