C₂×Q₃₂×#64408 #34030254

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₃₂×#64408
unambiguous semidirect product	D₇₃⋊(C₄×Q₃₂)

Fitting	C₂×Q₃₂×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂×C₄×Q₃₂

678 conjugacy classes of subgroups.

μ_t(G) = 4672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1113838);