C₂×C₄×C₈×#64408 #34019780

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

Fitting	C₂×C₄×C₈×C₇₃ ⋊ C₄
derived, Sylow	C₇₃ ⋊ C₂×C₄²×C₈

2046 conjugacy classes of subgroups.

μ_t(G) = 4672

1408 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1103364);