C₂³×D₇₃⋊M₁₆ #34032709

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁴

Aliases

direct product	C₂³×D₇₃⋊M₁₆
unambiguous semidirect product	D₇₃⋊(C₂³×M₁₆)

C₇₃ ⋊ C₂⁴×M₁₆

13310 conjugacy classes of subgroups.

μ_t(G) = 4672

1312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1116293);