C₂×D₁₀₉⋊(C₄⋊C₈) #28379665

order	13952
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₁₀₉⋊(C₄⋊C₈)
unambiguous semidirect product	D₁₀₉⋊(C₂×C₄⋊C₈)

C₁₀₉ ⋊ C₂²×C₄⋊C₈

640 conjugacy classes of subgroups.

μ_t(G) = 6976

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 21143);