D₇₃×C₁₆₇ #37567198

order	24382
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇₃×C₁₆₇
unambiguous semidirect product	C₇₃⋊(C₂×C₁₆₇)

Fitting, socle, Hall	C₇₃×C₁₆₇ ⋊ C₂
derived, Sylow	C₇₃ ⋊ C₂×C₁₆₇

	subgroup	G/H
center, hypercenter	C₁₆₇	D₇₃
commutator, cosocle, hypocenter	C₇₃	C₂×C₁₆₇
Frattini	C₁	G
Fitting, socle	C₇₃×C₁₆₇	C₂
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₁₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 12191

6346 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24382, 1);