C₂³×M₁₆×D₇₉ #35202024

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁴

Aliases

C₂³×M₁₆×D₇₉

Fitting	C₂³×M₁₆×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₂⁴×M₁₆

13310 conjugacy classes of subgroups.

μ_t(G) = 5056

3280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 1083323);