C₂×C₄²×#10597010 #34061116

order	19072
automorphism	?
homology	Abelianization (H₁) = C₂×C₄³ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

direct product	C₂×C₄²×#10597010
unambiguous semidirect product	D₁₄₉⋊C₄³

Fitting	C₂×C₄²×C₁₄₉ ⋊ C₄
derived, Sylow	C₁₄₉ ⋊ C₂×C₄³

1272 conjugacy classes of subgroups.

μ_t(G) = 4768

1312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19072, 20935);