Q₈×(C₂²⋊D₈₃)⋊C₄ #35564263

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

Fitting	Q₈×C₂²⋊C₄×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₄×D₄×Q₈

3148 conjugacy classes of subgroups.

μ_t(G) = 10624

2150 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 329427);