C₂×C₄×#15668640 #37553250

order	23456
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#15668640
unambiguous semidirect product	D₇₃₃⋊C₄²

Fitting	C₂×C₄×C₇₃₃ ⋊ C₄
derived, Sylow	C₇₃₃ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 5864

1496 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23456, 222);