C₆₇×D₂₂₉ #44501628

order	30686
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₇×D₂₂₉
unambiguous semidirect product	C₂₂₉⋊(C₂×C₆₇)

Fitting, socle, Hall	C₆₇×C₂₂₉ ⋊ C₂
derived, Sylow	C₂₂₉ ⋊ C₂×C₆₇

	subgroup	G/H
center, hypercenter	C₆₇	D₂₂₉
commutator, cosocle, hypocenter	C₂₂₉	C₂×C₆₇
Frattini	C₁	G
Fitting, socle	C₆₇×C₂₂₉	C₂
LCS	G ▷ C₂₂₉
UCS	C₁ ◁ C₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 15343

7772 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30686, 2);