C₂²×C₄×#11764308 #31801062

order	17728
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#11764308
unambiguous semidirect product	D₂₇₇⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₂₇₇ ⋊ C₄
derived, Sylow	C₂₇₇ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 4432

1168 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17728, 1609);