C₄×C₂²⋊C₄×#6923 #30608602

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂×C₄³ · Schur multiplier (H₂) = C₂⁴×C₄³

Aliases

Fitting	C₄×C₂²⋊C₄×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₄²×C₂²⋊C₄

3342 conjugacy classes of subgroups.

μ_t(G) = 1952

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1098157);