C₃×C₁₃×C₂₃×D₁₅ #41002126

order	26910
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₃×C₂₃×D₁₅
unambiguous semidirect product	C₃⋊(C₃×D₅×C₁₃×C₂₃)
unambiguous semidirect product	C₅⋊(C₃×D₃×C₁₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₂₃	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₃×C₁₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₂₃	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₃×C₁₃×C₂₃

72 conjugacy classes of subgroups.

μ_t(G) = 8970

8073 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26910, 53);