C₂×Q₈×#14267798 #43273072

order	28736
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#14267798
unambiguous semidirect product	D₄₄₉⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₄₄₉ ⋊ C₄
Sylow	C₄₄₉ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 7184

1160 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28736, 1614);