C₃×C₇×C₂₃×C₅⋊D₅ #37563406

order	24150
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₂₃ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₃×C₇×C₂₃×C₅⋊D₅
unambiguous semidirect product	C₅⋊(C₃×C₇×D₅×C₂₃)

	subgroup	G/H
center, hypercenter	C₃×C₇×C₂₃	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₃×C₇×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₇×C₂₃	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₃×C₇×C₂₃

128 conjugacy classes of subgroups.

μ_t(G) = 12075

6762 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24150, 65);