C₄₃×C₁₉₃⋊C₃ #38735182

order	24897
automorphism	?
homology	Abelianization (H₁) = C₃×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₃×C₁₉₃⋊C₃
unambiguous semidirect product	C₁₉₃⋊(C₃×C₄₃)

Fitting, socle, Hall	C₄₃×C₁₉₃ ⋊ C₃
derived, Sylow	C₁₉₃ ⋊ C₃×C₄₃

	subgroup	G/H
center, hypercenter	C₄₃	C₁₉₃⋊C₃
commutator, cosocle, hypocenter	C₁₉₃	C₃×C₄₃
Frattini	C₁	G
Fitting, socle	C₄₃×C₁₉₃	C₃
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₄₃

8 conjugacy classes of subgroups.

μ_t(G) = 8299

2881 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24897, 2);