C₂²×C₂²⋊C₄×#6157 #28328617

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂¹⁰×C₄

Aliases

Fitting	C₂²×C₂²⋊C₄×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂²×C₄×C₂²⋊C₄

9534 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114093);