C₂×C₈×#13063703 #36375098

order	22336
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂²×C₄

Aliases

Fitting	C₂×C₈×C₃₄₉ ⋊ C₄
derived, Sylow	C₃₄₉ ⋊ C₂×C₄×C₈

162 conjugacy classes of subgroups.

μ_t(G) = 5584

1456 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22336, 1503);