C₄⋊Q₈×D₃₇₉ #37565785

order	24256
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₇₉

Fitting	C₄⋊Q₈×C₃₇₉ ⋊ C₂
Sylow	C₃₇₉ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 12128

2674 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24256, 1090);