C₂×C₄²×#89137 #28379457

order	13952
isoclinism	isoclinic class of #89137
automorphism	?
homology	Abelianization (H₁) = C₂×C₄³ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

direct product	C₂×C₄²×#89137
unambiguous semidirect product	D₁₀₉⋊C₄³

Fitting	C₂×C₄²×C₁₀₉ ⋊ C₄
derived, Sylow	C₁₀₉ ⋊ C₂×C₄³

1272 conjugacy classes of subgroups.

μ_t(G) = 3488

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 20935);