C₂×#20289888 #28312688

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂¹⁰

Aliases

Fitting	C₂²×C₂²⋊C₄×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×C₂²⋊#95

7630 conjugacy classes of subgroups.

μ_t(G) = 1696

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1098164);