C₄⋊Q₈×D₁₉₃ #27135800

order	12352
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₁₉₃

Fitting	C₄⋊Q₈×C₁₉₃ ⋊ C₂
Sylow	C₁₉₃ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

1372 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 1090);