C₈₉×D₁₅₁ #41001855

order	26878
automorphism	?
homology	Abelianization (H₁) = C₂×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₈₉×D₁₅₁
unambiguous semidirect product	C₁₅₁⋊(C₂×C₈₉)

Fitting, socle, Hall	C₈₉×C₁₅₁ ⋊ C₂
derived, Sylow	C₁₅₁ ⋊ C₂×C₈₉

	subgroup	G/H
center, hypercenter	C₈₉	D₁₅₁
commutator, cosocle, hypocenter	C₁₅₁	C₂×C₈₉
Frattini	C₁	G
Fitting, socle	C₈₉×C₁₅₁	C₂
LCS	G ▷ C₁₅₁
UCS	C₁ ◁ C₈₉

8 conjugacy classes of subgroups.

μ_t(G) = 13439

6853 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26878, 2);