C₂×C₄×#15692846 #39911324

order	26272
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#15692846
unambiguous semidirect product	D₈₂₁⋊C₄²

Fitting	C₂×C₄×C₈₂₁ ⋊ C₄
derived, Sylow	C₈₂₁ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 6568

1672 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26272, 222);