C₂³×#13133129 #28247518

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹¹

Aliases

Fitting	C₂⁴×C₈×C₅₃ ⋊ C₂
Sylow	C₅₃ ⋊ C₂³×C₂²⋊C₈

7646 conjugacy classes of subgroups.

μ_t(G) = 6784

3488 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1032994);