C₂×#20289896 #28312706

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁸×C₄

Aliases

direct product	C₂×#20289896
unambiguous semidirect product	D₅₃⋊#1437

Fitting	C₂²×C₂²⋊C₄×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×#1437

5230 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1098182);