C₂³×D₁₇₃⋊C₈ #36370547

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂³×D₁₇₃⋊C₈
unambiguous semidirect product	D₁₇₃⋊(C₂³×C₈)

C₁₇₃ ⋊ C₂⁴×C₈

1976 conjugacy classes of subgroups.

μ_t(G) = 11072

1504 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 21494);