C₂×C₂²⋊Q₈×D₁₃₇ #31794013

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁹

Aliases

C₂×C₂²⋊Q₈×D₁₃₇

Fitting	C₂×C₂²⋊Q₈×C₁₃₇ ⋊ C₂
Sylow	C₁₃₇ ⋊ C₂²×C₂²⋊Q₈

1840 conjugacy classes of subgroups.

μ_t(G) = 4384

1960 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17536, 17734);