Finite Group Databasebeta

← Group #6348043

Character table — Group #6348043

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122224444444448888888816111122224444444448888888816111122224444444448888888816111122224444444448888888816
order12224444444448888444488884222244444444488884444888842222444444444888844448888422224444444448888444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-11111-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1
χ31111111111-1-111111-11-1-111-1-1-11111111111-1-111111-11-1-111-1-1-11111111111-1-111111-11-1-111-1-1-11111111111-1-111111-11-1-111-1-1-1
χ41111111111-1-11-1-1-1-1-11-1-1-1-11111111111111-1-11-1-1-1-1-11-1-1-1-11111111111111-1-11-1-1-1-1-11-1-1-1-11111111111111-1-11-1-1-1-1-11-1-1-1-1111
χ511111111-1-111111111-1-1-1-1-111-111111111-1-111111111-1-1-1-1-111-111111111-1-111111111-1-1-1-1-111-111111111-1-111111111-1-1-1-1-111-1
χ611111111-1-1111-1-1-1-11-1-1-111-1-1111111111-1-1111-1-1-1-11-1-1-111-1-1111111111-1-1111-1-1-1-11-1-1-111-1-1111111111-1-1111-1-1-1-11-1-1-111-1-11
χ711111111-1-1-1-111111-1-111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-11
χ811111111-1-1-1-11-1-1-1-1-1-1111111-111111111-1-1-1-11-1-1-1-1-1-1111111-111111111-1-1-1-11-1-1-1-1-1-1111111-111111111-1-1-1-11-1-1-1-1-1-1111111-1
χ922222-22-20022-20000-20000000022222-22-20022-20000-20000000022222-22-20022-20000-20000000022222-22-20022-20000-200000000
χ1022222-22-200-2-2-2000020000000022222-22-200-2-2-2000020000000022222-22-200-2-2-2000020000000022222-22-200-2-2-20000200000000
χ112222-22-222200-200000-200000002222-22-222200-200000-200000002222-22-222200-200000-200000002222-22-222200-200000-20000000
χ122222-22-22-2-200-200000200000002222-22-22-2-200-200000200000002222-22-22-2-200-200000200000002222-22-22-2-200-20000020000000
χ132222-2-2-2-2000020000002-2000002222-2-2-2-2000020000002-2000002222-2-2-2-2000020000002-2000002222-2-2-2-2000020000002-200000
χ142222-2-2-2-200002000000-22000002222-2-2-2-200002000000-22000002222-2-2-2-200002000000-22000002222-2-2-2-200002000000-2200000
χ152-22-20-2022i−2i000i2i2−i2−i200002−20002-22-20-2022i−2i000i2i2−i2−i200002−20002-22-20-2022i−2i000i2i2−i2−i200002−20002-22-20-2022i−2i000i2i2−i2−i200002−2000
χ162-22-20-2022i−2i000−i2−i2i2i20000−220002-22-20-2022i−2i000−i2−i2i2i20000−220002-22-20-2022i−2i000−i2−i2i2i20000−220002-22-20-2022i−2i000−i2−i2i2i20000−22000
χ172-22-20-202−2i2i000i2i2−i2−i20000−220002-22-20-202−2i2i000i2i2−i2−i20000−220002-22-20-202−2i2i000i2i2−i2−i20000−220002-22-20-202−2i2i000i2i2−i2−i20000−22000
χ182-22-20-202−2i2i000−i2−i2i2i200002−20002-22-20-202−2i2i000−i2−i2i2i200002−20002-22-20-202−2i2i000−i2−i2i2i200002−20002-22-20-202−2i2i000−i2−i2i2i200002−2000
χ192-2-22-2020002-20i2−i2i2−i2000000i2−i202-2-22-2020002-20i2−i2i2−i2000000i2−i202-2-22-2020002-20i2−i2i2−i2000000i2−i202-2-22-2020002-20i2−i2i2−i2000000i2−i20
χ202-2-22-2020002-20−i2i2−i2i2000000−i2i202-2-22-2020002-20−i2i2−i2i2000000−i2i202-2-22-2020002-20−i2i2−i2i2000000−i2i202-2-22-2020002-20−i2i2−i2i2000000−i2i20
χ212-2-22-202000-220i2−i2i2−i2000000−i2i202-2-22-202000-220i2−i2i2−i2000000−i2i202-2-22-202000-220i2−i2i2−i2000000−i2i202-2-22-202000-220i2−i2i2−i2000000−i2i20
χ222-2-22-202000-220−i2i2−i2i2000000i2−i202-2-22-202000-220−i2i2−i2i2000000i2−i202-2-22-202000-220−i2i2−i2i2000000i2−i202-2-22-202000-220−i2i2−i2i2000000i2−i20
χ2344-4-40000000002-2-2200000000044-4-40000000002-2-2200000000044-4-40000000002-2-2200000000044-4-40000000002-2-22000000000
χ2444-4-4000000000-222-200000000044-4-4000000000-222-200000000044-4-4000000000-222-200000000044-4-4000000000-222-2000000000
χ254-44-4040-40000000000000000004-44-4040-40000000000000000004-44-4040-40000000000000000004-44-4040-4000000000000000000
χ264-4-4440-400000000000000000004-4-4440-400000000000000000004-4-4440-400000000000000000004-4-4440-40000000000000000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111
χ291111111111-1-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-11111111111111-1-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1111
χ301111111111-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-111111-11111-1-1-11111111111-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-111111-11111-1-1-1
χ3111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11
χ3211111111-1-1111-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-111111111-1-1111-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-1
χ3311111111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-111111111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1
χ3411111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11
χ3522222-22-20022-20000-200000000-2-2-2-2-22-2200-2-22000020000000022222-22-20022-20000-200000000-2-2-2-2-22-2200-2-220000200000000
χ3622222-22-200-2-2-20000200000000-2-2-2-2-22-22002220000-20000000022222-22-200-2-2-20000200000000-2-2-2-2-22-22002220000-200000000
χ372222-22-222200-200000-20000000-2-2-2-22-22-2-2-200200000200000002222-22-222200-200000-20000000-2-2-2-22-22-2-2-20020000020000000
χ382222-22-22-2-200-20000020000000-2-2-2-22-22-22200200000-200000002222-22-22-2-200-20000020000000-2-2-2-22-22-22200200000-20000000
χ392222-2-2-2-2000020000002-200000-2-2-2-222220000-2000000-22000002222-2-2-2-2000020000002-200000-2-2-2-222220000-2000000-2200000
χ402222-2-2-2-200002000000-2200000-2-2-2-222220000-20000002-2000002222-2-2-2-200002000000-2200000-2-2-2-222220000-20000002-200000
χ412-22-20-2022i−2i000i2i2−i2−i200002−2000-22-22020-2−2i2i000−i2−i2i2i20000−220002-22-20-2022i−2i000i2i2−i2−i200002−2000-22-22020-2−2i2i000−i2−i2i2i20000−22000
χ422-22-20-2022i−2i000−i2−i2i2i20000−22000-22-22020-2−2i2i000i2i2−i2−i200002−20002-22-20-2022i−2i000−i2−i2i2i20000−22000-22-22020-2−2i2i000i2i2−i2−i200002−2000
χ432-22-20-202−2i2i000i2i2−i2−i20000−22000-22-22020-22i−2i000−i2−i2i2i200002−20002-22-20-202−2i2i000i2i2−i2−i20000−22000-22-22020-22i−2i000−i2−i2i2i200002−2000
χ442-22-20-202−2i2i000−i2−i2i2i200002−2000-22-22020-22i−2i000i2i2−i2−i20000−220002-22-20-202−2i2i000−i2−i2i2i200002−2000-22-22020-22i−2i000i2i2−i2−i20000−22000
χ452-2-22-2020002-20i2−i2i2−i2000000i2−i20-222-220-2000-220−i2i2−i2i2000000−i2i202-2-22-2020002-20i2−i2i2−i2000000i2−i20-222-220-2000-220−i2i2−i2i2000000−i2i20
χ462-2-22-2020002-20−i2i2−i2i2000000−i2i20-222-220-2000-220i2−i2i2−i2000000i2−i202-2-22-2020002-20−i2i2−i2i2000000−i2i20-222-220-2000-220i2−i2i2−i2000000i2−i20
χ472-2-22-202000-220i2−i2i2−i2000000−i2i20-222-220-20002-20−i2i2−i2i2000000i2−i202-2-22-202000-220i2−i2i2−i2000000−i2i20-222-220-20002-20−i2i2−i2i2000000i2−i20
χ482-2-22-202000-220−i2i2−i2i2000000i2−i20-222-220-20002-20i2−i2i2−i2000000−i2i202-2-22-202000-220−i2i2−i2i2000000i2−i20-222-220-20002-20i2−i2i2−i2000000−i2i20
χ4944-4-40000000002-2-22000000000-4-444000000000-222-200000000044-4-40000000002-2-22000000000-4-444000000000-222-2000000000
χ5044-4-4000000000-222-2000000000-4-4440000000002-2-2200000000044-4-4000000000-222-2000000000-4-4440000000002-2-22000000000
χ514-44-4040-4000000000000000000-44-440-4040000000000000000004-44-4040-4000000000000000000-44-440-404000000000000000000
χ524-4-4440-40000000000000000000-444-4-40400000000000000000004-4-4440-40000000000000000000-444-4-4040000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ541111111111111-1-1-1-11111-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111
χ551111111111-1-111111-11-1-111-1-1-11111111111-1-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1111
χ561111111111-1-11-1-1-1-1-11-1-1-1-11111111111111-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-11111-1-1-1
χ5711111111-1-111111111-1-1-1-1-111-111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11
χ5811111111-1-1111-1-1-1-11-1-1-111-1-1111111111-1-1111-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-1
χ5911111111-1-1-1-111111-1-111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1
χ6011111111-1-1-1-11-1-1-1-1-1-1111111-111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11
χ6122222-22-20022-20000-20000000022222-22-20022-20000-200000000-2-2-2-2-22-2200-2-220000200000000-2-2-2-2-22-2200-2-220000200000000
χ6222222-22-200-2-2-2000020000000022222-22-200-2-2-20000200000000-2-2-2-2-22-22002220000-200000000-2-2-2-2-22-22002220000-200000000
χ632222-22-222200-200000-200000002222-22-222200-200000-20000000-2-2-2-22-22-2-2-20020000020000000-2-2-2-22-22-2-2-20020000020000000
χ642222-22-22-2-200-200000200000002222-22-22-2-200-20000020000000-2-2-2-22-22-22200200000-20000000-2-2-2-22-22-22200200000-20000000
χ652222-2-2-2-2000020000002-2000002222-2-2-2-2000020000002-200000-2-2-2-222220000-2000000-2200000-2-2-2-222220000-2000000-2200000
χ662222-2-2-2-200002000000-22000002222-2-2-2-200002000000-2200000-2-2-2-222220000-20000002-200000-2-2-2-222220000-20000002-200000
χ672-22-20-2022i−2i000i2i2−i2−i200002−20002-22-20-2022i−2i000i2i2−i2−i200002−2000-22-22020-2−2i2i000−i2−i2i2i20000−22000-22-22020-2−2i2i000−i2−i2i2i20000−22000
χ682-22-20-2022i−2i000−i2−i2i2i20000−220002-22-20-2022i−2i000−i2−i2i2i20000−22000-22-22020-2−2i2i000i2i2−i2−i200002−2000-22-22020-2−2i2i000i2i2−i2−i200002−2000
χ692-22-20-202−2i2i000i2i2−i2−i20000−220002-22-20-202−2i2i000i2i2−i2−i20000−22000-22-22020-22i−2i000−i2−i2i2i200002−2000-22-22020-22i−2i000−i2−i2i2i200002−2000
χ702-22-20-202−2i2i000−i2−i2i2i200002−20002-22-20-202−2i2i000−i2−i2i2i200002−2000-22-22020-22i−2i000i2i2−i2−i20000−22000-22-22020-22i−2i000i2i2−i2−i20000−22000
χ712-2-22-2020002-20i2−i2i2−i2000000i2−i202-2-22-2020002-20i2−i2i2−i2000000i2−i20-222-220-2000-220−i2i2−i2i2000000−i2i20-222-220-2000-220−i2i2−i2i2000000−i2i20
χ722-2-22-2020002-20−i2i2−i2i2000000−i2i202-2-22-2020002-20−i2i2−i2i2000000−i2i20-222-220-2000-220i2−i2i2−i2000000i2−i20-222-220-2000-220i2−i2i2−i2000000i2−i20
χ732-2-22-202000-220i2−i2i2−i2000000−i2i202-2-22-202000-220i2−i2i2−i2000000−i2i20-222-220-20002-20−i2i2−i2i2000000i2−i20-222-220-20002-20−i2i2−i2i2000000i2−i20
χ742-2-22-202000-220−i2i2−i2i2000000i2−i202-2-22-202000-220−i2i2−i2i2000000i2−i20-222-220-20002-20i2−i2i2−i2000000−i2i20-222-220-20002-20i2−i2i2−i2000000−i2i20
χ7544-4-40000000002-2-2200000000044-4-40000000002-2-22000000000-4-444000000000-222-2000000000-4-444000000000-222-2000000000
χ7644-4-4000000000-222-200000000044-4-4000000000-222-2000000000-4-4440000000002-2-22000000000-4-4440000000002-2-22000000000
χ774-44-4040-40000000000000000004-44-4040-4000000000000000000-44-440-404000000000000000000-44-440-404000000000000000000
χ784-4-4440-400000000000000000004-4-4440-40000000000000000000-444-4-4040000000000000000000-444-4-4040000000000000000000
χ7911111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111
χ801111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1
χ811111111111-1-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-11111111111111-1-111111-11-1-111-1-1-1
χ821111111111-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-11111-1-1-11111111111-1-11-1-1-1-1-11-1-1-1-1111
χ8311111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111-1-111111111-1-1-1-1-111-1
χ8411111111-1-1111-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1111-1-111-111111111-1-1111-1-1-1-11-1-1-111-1-11
χ8511111111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-111111111-1-1-1-111111-1-111-1-1-1-11
χ8611111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1111111-1
χ8722222-22-20022-20000-200000000-2-2-2-2-22-2200-2-220000200000000-2-2-2-2-22-2200-2-22000020000000022222-22-20022-20000-200000000
χ8822222-22-200-2-2-20000200000000-2-2-2-2-22-22002220000-200000000-2-2-2-2-22-22002220000-20000000022222-22-200-2-2-20000200000000
χ892222-22-222200-200000-20000000-2-2-2-22-22-2-2-20020000020000000-2-2-2-22-22-2-2-200200000200000002222-22-222200-200000-20000000
χ902222-22-22-2-200-20000020000000-2-2-2-22-22-22200200000-20000000-2-2-2-22-22-22200200000-200000002222-22-22-2-200-20000020000000
χ912222-2-2-2-2000020000002-200000-2-2-2-222220000-2000000-2200000-2-2-2-222220000-2000000-22000002222-2-2-2-2000020000002-200000
χ922222-2-2-2-200002000000-2200000-2-2-2-222220000-20000002-200000-2-2-2-222220000-20000002-2000002222-2-2-2-200002000000-2200000
χ932-22-20-2022i−2i000i2i2−i2−i200002−2000-22-22020-2−2i2i000−i2−i2i2i20000−22000-22-22020-2−2i2i000−i2−i2i2i20000−220002-22-20-2022i−2i000i2i2−i2−i200002−2000
χ942-22-20-2022i−2i000−i2−i2i2i20000−22000-22-22020-2−2i2i000i2i2−i2−i200002−2000-22-22020-2−2i2i000i2i2−i2−i200002−20002-22-20-2022i−2i000−i2−i2i2i20000−22000
χ952-22-20-202−2i2i000i2i2−i2−i20000−22000-22-22020-22i−2i000−i2−i2i2i200002−2000-22-22020-22i−2i000−i2−i2i2i200002−20002-22-20-202−2i2i000i2i2−i2−i20000−22000
χ962-22-20-202−2i2i000−i2−i2i2i200002−2000-22-22020-22i−2i000i2i2−i2−i20000−22000-22-22020-22i−2i000i2i2−i2−i20000−220002-22-20-202−2i2i000−i2−i2i2i200002−2000
χ972-2-22-2020002-20i2−i2i2−i2000000i2−i20-222-220-2000-220−i2i2−i2i2000000−i2i20-222-220-2000-220−i2i2−i2i2000000−i2i202-2-22-2020002-20i2−i2i2−i2000000i2−i20
χ982-2-22-2020002-20−i2i2−i2i2000000−i2i20-222-220-2000-220i2−i2i2−i2000000i2−i20-222-220-2000-220i2−i2i2−i2000000i2−i202-2-22-2020002-20−i2i2−i2i2000000−i2i20
χ992-2-22-202000-220i2−i2i2−i2000000−i2i20-222-220-20002-20−i2i2−i2i2000000i2−i20-222-220-20002-20−i2i2−i2i2000000i2−i202-2-22-202000-220i2−i2i2−i2000000−i2i20
χ1002-2-22-202000-220−i2i2−i2i2000000i2−i20-222-220-20002-20i2−i2i2−i2000000−i2i20-222-220-20002-20i2−i2i2−i2000000−i2i202-2-22-202000-220−i2i2−i2i2000000i2−i20
χ10144-4-40000000002-2-22000000000-4-444000000000-222-2000000000-4-444000000000-222-200000000044-4-40000000002-2-22000000000
χ10244-4-4000000000-222-2000000000-4-4440000000002-2-22000000000-4-4440000000002-2-2200000000044-4-4000000000-222-2000000000
χ1034-44-4040-4000000000000000000-44-440-404000000000000000000-44-440-4040000000000000000004-44-4040-4000000000000000000
χ1044-4-4440-40000000000000000000-444-4-4040000000000000000000-444-4-40400000000000000000004-4-4440-40000000000000000000

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