C₂×#69051 #10947820

order	768
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

Fitting	C₂×C₃×C₄×C₁₆ ⋊ C₂
Sylow	C₃ ⋊ C₂×#2108

854 conjugacy classes of subgroups.

μ_t(G) = 384

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 322201);