C₄×D₄⋊#10596842 #34033269

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄

Aliases

direct product	C₄×D₄⋊#10596842
unambiguous semidirect product	#64408⋊(D₄⋊C₈)

Fitting	C₄×D₄×C₇₃ ⋊ C₈
Sylow	C₇₃ ⋊ C₄×D₄⋊C₈

774 conjugacy classes of subgroups.

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1116853);