C₂×D₁₄₉⋊(C₄⋊C₈) #34061324

order	19072
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₁₄₉⋊(C₄⋊C₈)
unambiguous semidirect product	D₁₄₉⋊(C₂×C₄⋊C₈)

C₁₄₉ ⋊ C₂²×C₄⋊C₈

640 conjugacy classes of subgroups.

μ_t(G) = 9536

1264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19072, 21143);