C₂×#20289588 #28300877

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	C₂²×C₄⋊C₄×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×#1294

1454 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1086353);