C₂²×C₄×#14556313 #49149009

order	36928
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#14556313
unambiguous semidirect product	D₅₇₇⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₅₇₇ ⋊ C₄
derived, Sylow	C₅₇₇ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 9232

2368 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36928, 1609);