D₄×#14581712 #35419804

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

Aliases

Fitting	D₄×C₄⋊C₄×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ D₄×#102

2014 conjugacy classes of subgroups.

μ_t(G) = 5312

2120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 184968);