C₆₇×D₂₂₃ #44469459

order	29882
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₇×D₂₂₃
unambiguous semidirect product	C₂₂₃⋊(C₂×C₆₇)

Fitting, socle, Hall	C₆₇×C₂₂₃ ⋊ C₂
derived, Sylow	C₂₂₃ ⋊ C₂×C₆₇

	subgroup	G/H
center, hypercenter	C₆₇	D₂₂₃
commutator, cosocle, hypocenter	C₂₂₃	C₂×C₆₇
Frattini	C₁	G
Fitting, socle	C₆₇×C₂₂₃	C₂
LCS	G ▷ C₂₂₃
UCS	C₁ ◁ C₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 14941

7571 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29882, 2);