C₂₃×D₆₅₃ #44473435

order	30038
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₃×D₆₅₃
unambiguous semidirect product	C₆₅₃⋊(C₂×C₂₃)

Fitting, socle, Hall	C₂₃×C₆₅₃ ⋊ C₂
derived, Sylow	C₆₅₃ ⋊ C₂×C₂₃

	subgroup	G/H
center, hypercenter	C₂₃	D₆₅₃
commutator, cosocle, hypocenter	C₆₅₃	C₂×C₂₃
Frattini	C₁	G
Fitting, socle	C₂₃×C₆₅₃	C₂
LCS	G ▷ C₆₅₃
UCS	C₁ ◁ C₂₃

8 conjugacy classes of subgroups.

μ_t(G) = 15019

7544 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30038, 2);