C₂×Q₈×#13181884 #42122876

order	27712
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#13181884
unambiguous semidirect product	D₄₃₃⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₄₃₃ ⋊ C₄
Sylow	C₄₃₃ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 6928

1120 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27712, 1614);