D₄×#13133280 #28324240

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	D₄×Q₈×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ D₄×#103

1530 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1109716);