C₂²×C₄⋊#13097544 #38763584

order	25408
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×C₄⋊#13097544
unambiguous semidirect product	D₃₉₇⋊(C₂×C₄⋊C₄)

Fitting	C₂²×C₄×C₃₉₇ ⋊ C₄
Sylow	C₃₉₇ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 6352

1624 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25408, 1611);