C₈×(C₂×D₃)⋊C₈ #10685653

order	768
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₂×C₈² · Schur multiplier (H₂) = C₂³×C₈

Aliases

Fitting	C₂×C₃×C₈² ⋊ C₂
Sylow	C₃ ⋊ C₈×C₂²⋊C₈

726 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, 60034);