C₂×C₄×#14584149 #36376176

order	22432
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#14584149
unambiguous semidirect product	D₇₀₁⋊C₄²

Fitting	C₂×C₄×C₇₀₁ ⋊ C₄
derived, Sylow	C₇₀₁ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 5608

1432 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22432, 222);