C₂²×D₃₈₉⋊C₈ #38735170

order	24896
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×D₃₈₉⋊C₈
unambiguous semidirect product	D₃₈₉⋊(C₂²×C₈)

C₃₈₉ ⋊ C₂³×C₈

338 conjugacy classes of subgroups.

μ_t(G) = 12448

1616 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24896, 1620);