C₂×#22577466 #31789459

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂×C₂²⋊C₈×C₁₃₇ ⋊ C₂
Sylow	C₁₃₇ ⋊ C₂×C₈×D₄

616 conjugacy classes of subgroups.

μ_t(G) = 8768

2800 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17536, 13180);