C₂²⋊C₄×(C₂×D₈₃)⋊C₄ #35325804

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁷×C₄

Aliases

Fitting	C₂×C₄×C₂²⋊C₄×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₂²⋊C₄²

4254 conjugacy classes of subgroups.

μ_t(G) = 5312

3380 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 90968);