Finite Group Databasebeta

← Group #308201

Character table — Group #308201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1
χ911111111111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11
χ1011111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-11111-1-11-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-111-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1111-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-111-111-1-111-1
χ172222222222-2-2-222-2-22222-20000000022-2-20000000022-2-200000000000-20000000
χ182222222222-2-2-222-2-22222-200000000-2-2-2-200000000-2-2220000000000020000000
χ192222222222-2-2-222-2-2-2-2-2-2-200000000222200000000-2-22200000000000-20000000
χ202222222222-2-2-222-2-2-2-2-2-2-200000000-2-2220000000022-2-20000000000020000000
χ2122222222-2-2222-2-22-20000-2222222-2-20000220000-2-200000000-200000000000000
χ2222222222-2-2222-2-22-20000-22222-2-2220000-2-20000-2-200000000200000000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-222-2-20000-2-200002200000000200000000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-2-2-22200002200002200000000-200000000000000
χ2522-22-22-2-2222-22-2-2-220000-200002-22-200000022-2-200000000000002-20000000000
χ2622-22-22-2-2222-22-2-2-220000-200002-22-2000000-2-2220000000000000-220000000000
χ2722-22-22-2-2222-22-2-2-220000-20000-22-2200000022-2-20000000000000-220000000000
χ2822-22-22-2-2222-22-2-2-220000-20000-22-22000000-2-22200000000000002-20000000000
χ2922-22-22-2-2-2-22-2222-2-22i2i−2i−2i200002-2-22002i−2i0000000000000000000002i−2i00000000
χ3022-22-22-2-2-2-22-2222-2-22i2i−2i−2i20000-222-2002i−2i000000000000000000000−2i2i00000000
χ3122-22-22-2-2-2-22-2222-2-2−2i−2i2i2i200002-2-2200−2i2i000000000000000000000−2i2i00000000
χ3222-22-22-2-2-2-22-2222-2-2−2i−2i2i2i20000-222-200−2i2i0000000000000000000002i−2i00000000
χ3322-22-22-2-2-2-2-22-222222i2i−2i−2i-20000000000−2i2i000000000000000002i−2i00000002-2000
χ3422-22-22-2-2-2-2-22-222222i2i−2i−2i-20000000000−2i2i00000000000000000−2i2i0000000-22000
χ3522-22-22-2-2-2-2-22-22222−2i−2i2i2i-200000000002i−2i000000000000000002i−2i0000000-22000
χ3622-22-22-2-2-2-2-22-22222−2i−2i2i2i-200000000002i−2i00000000000000000−2i2i00000002-2000
χ372-2-222-22-22-20002-2002-22-20i2i2−i2−i200002-20000i2−i2i2−i2i2−i22-200i2i2−i2−i200000000i2−i200000
χ382-2-222-22-22-20002-2002-22-20i2i2−i2−i20000-220000i2−i2i2−i2i2−i2-2200−i2−i2i2i200000000−i2i200000
χ392-2-222-22-22-20002-2002-22-20−i2−i2i2i200002-20000−i2i2−i2i2−i2i22-200−i2−i2i2i200000000−i2i200000
χ402-2-222-22-22-20002-2002-22-20−i2−i2i2i20000-220000−i2i2−i2i2−i2i2-2200i2i2−i2−i200000000i2−i200000
χ412-2-222-22-22-20002-200-22-220i2i2−i2−i200002-20000−i2i2−i2i2i2−i2-2200−i2−i2i2i200000000i2−i200000
χ422-2-222-22-22-20002-200-22-220i2i2−i2−i20000-220000−i2i2−i2i2i2−i22-200i2i2−i2−i200000000−i2i200000
χ432-2-222-22-22-20002-200-22-220−i2−i2i2i200002-20000i2−i2i2−i2−i2i2-2200i2i2−i2−i200000000−i2i200000
χ442-2-222-22-22-20002-200-22-220−i2−i2i2i20000-220000i2−i2i2−i2−i2i22-200−i2−i2i2i200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ4644-44-44-4-444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ4744-4-44-4-440000000000000022−2222−220000000000000000002i2−2i22i−2i2i−2i000000000000000
χ4844-4-44-4-440000000000000022−2222−22000000000000000000−2i22i2−2i2i−2i2i000000000000000
χ4944-4-44-4-4400000000000000−2222−22220000000000000000002i2−2i2−2i2i−2i2i000000000000000
χ5044-4-44-4-4400000000000000−2222−2222000000000000000000−2i22i22i−2i2i−2i000000000000000
χ514-444-4-4-444-4000-440000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ524-444-4-4-444-4000-44000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ534-444-4-4-44-440004-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ544-444-4-4-44-440004-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ554-44-444-4-40044-400-400000000000000000000000000000022−22−2222000000000000000
χ564-44-444-4-40044-400-4000000000000000000000000000000−222222−22000000000000000
χ574-44-444-4-400-4-440040000004i−4i−4i4i000000000000000000000000000000000000000
χ584-44-444-4-400-4-44004000000−4i4i4i−4i000000000000000000000000000000000000000
χ594-4-444-44-4-44000-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ604-4-444-44-4-44000-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ614-4-4-4-4444004-4-4004000000000000000000000000000000000000000000000022−220
χ624-4-4-4-4444004-4-40040000000000000000000000000000000000000000000000−22220
χ634-4-4-4-444400-44400-40000000000000000004-400000000000000000000000000000
χ644-4-4-4-444400-44400-4000000000000000000-4400000000000000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).