C₆₇×D₂₃₉ #44545071

order	32026
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₇×D₂₃₉
unambiguous semidirect product	C₂₃₉⋊(C₂×C₆₇)

Fitting, socle, Hall	C₆₇×C₂₃₉ ⋊ C₂
derived, Sylow	C₂₃₉ ⋊ C₂×C₆₇

	subgroup	G/H
center, hypercenter	C₆₇	D₂₃₉
commutator, cosocle, hypocenter	C₂₃₉	C₂×C₆₇
Frattini	C₁	G
Fitting, socle	C₆₇×C₂₃₉	C₂
LCS	G ▷ C₂₃₉
UCS	C₁ ◁ C₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 16013

8107 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32026, 2);