C₂×C₄×#15690200 #37566976

order	24352
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#15690200
unambiguous semidirect product	D₇₆₁⋊C₄²

Fitting	C₂×C₄×C₇₆₁ ⋊ C₄
derived, Sylow	C₇₆₁ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 6088

1552 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24352, 222);