C₄⋊Q₈×D₃₉₇ #38763063

order	25408
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₉₇

Fitting	C₄⋊Q₈×C₃₉₇ ⋊ C₂
Sylow	C₃₉₇ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 12704

2800 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25408, 1090);