C₂²⋊C₄×D₆₆₄ #35420229

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

C₂²⋊C₄×D₆₆₄

Fitting	C₈×C₂²⋊C₄×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₂²⋊C₄×D₈

1830 conjugacy classes of subgroups.

μ_t(G) = 5312

3350 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 185393);