C₂×#20290415 #28317980

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁶×C₄

Aliases

Fitting	C₂²×C₄⋊C₄×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×#1740

2350 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1103456);