C₄×(C₂×#10596842)⋊C₄ #34033452

order	18688
automorphism	?
homology	Abelianization (H₁) = C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

direct product	C₄×(C₂×#10596842)⋊C₄
unambiguous semidirect product	#64408⋊#336
unambiguous semidirect product	(C₂×#10596842)⋊C₄²

Fitting	C₂×C₄²×C₇₃ ⋊ C₈
Sylow	C₇₃ ⋊ C₄×#336

1318 conjugacy classes of subgroups.

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1117036);