C₂²×C₄⋊#64408 #17989649

order	4672
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×C₄⋊#64408
unambiguous semidirect product	D₇₃⋊(C₂×C₄⋊C₄)

Fitting	C₂²×C₄×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 1168

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4672, 1611);