C₂×C₄×#10597010 #18011987

order	4768
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#10597010
unambiguous semidirect product	D₁₄₉⋊C₄²

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

108 conjugacy classes of subgroups.

μ_t(G) = 1192

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4768, 222);