C₂×C₄×Q₈×#6157 #28328623

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁸×C₄

Aliases

direct product	C₂×C₄×Q₈×#6157
unambiguous semidirect product	D₅₃⋊(C₄²×Q₈)

Fitting	C₂×C₄×Q₈×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×C₄²×Q₈

3966 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114099);