C₆₇×D₂₂₇ #44477408

order	30418
automorphism	?
homology	Abelianization (H₁) = C₂×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₆₇×D₂₂₇
unambiguous semidirect product	C₂₂₇⋊(C₂×C₆₇)

Fitting, socle, Hall	C₆₇×C₂₂₇ ⋊ C₂
derived, Sylow	C₂₂₇ ⋊ C₂×C₆₇

	subgroup	G/H
center, hypercenter	C₆₇	D₂₂₇
commutator, cosocle, hypocenter	C₂₂₇	C₂×C₆₇
Frattini	C₁	G
Fitting, socle	C₆₇×C₂₂₇	C₂
LCS	G ▷ C₂₂₇
UCS	C₁ ◁ C₆₇

8 conjugacy classes of subgroups.

μ_t(G) = 15209

7705 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30418, 2);