C₄₇×D₂₆₉ #38760595

order	25286
automorphism	?
homology	Abelianization (H₁) = C₂×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₇×D₂₆₉
unambiguous semidirect product	C₂₆₉⋊(C₂×C₄₇)

Fitting, socle, Hall	C₄₇×C₂₆₉ ⋊ C₂
derived, Sylow	C₂₆₉ ⋊ C₂×C₄₇

	subgroup	G/H
center, hypercenter	C₄₇	D₂₆₉
commutator, cosocle, hypocenter	C₂₆₉	C₂×C₄₇
Frattini	C₁	G
Fitting, socle	C₄₇×C₂₆₉	C₂
LCS	G ▷ C₂₆₉
UCS	C₁ ◁ C₄₇

8 conjugacy classes of subgroups.

μ_t(G) = 12643

6392 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25286, 2);