C₂×C₂²⋊C₁₆×D₇₉ #34440932

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₆ · Schur multiplier (H₂) = C₂⁷

Aliases

C₂×C₂²⋊C₁₆×D₇₉

Fitting	C₂×C₂²⋊C₁₆×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₂²×C₂²⋊C₁₆

1470 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, 322231);