Finite Group Databasebeta

← Group #495939

Character table — Group #495939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1122244448888888881616112224444888888888161611222444488888888816161122244448888888881616
order122442488888881616161624444444488888881616161644222442488888881616161624444444488888881616161644
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1
χ41111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ511111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-1
χ611111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-11
χ711111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-11
χ811111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-1
χ92222222-2-2-200000000002222222-2-2-200000000002222222-2-2-200000000002222222-2-2-20000000000
χ1022222-2-2-2-22000000000022222-2-2-2-22000000000022222-2-2-2-22000000000022222-2-2-2-220000000000
χ11222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200
χ12222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200
χ13222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200
χ14222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200
χ1522-22-2002-20002i−2i00000022-22-2002-20002i−2i00000022-22-2002-20002i−2i00000022-22-2002-20002i−2i000000
χ1622-22-2002-2000−2i2i00000022-22-2002-2000−2i2i00000022-22-2002-2000−2i2i00000022-22-2002-2000−2i2i000000
χ1722-22-200-2202i−2i0000000022-22-200-2202i−2i0000000022-22-200-2202i−2i0000000022-22-200-2202i−2i00000000
χ1822-22-200-220−2i2i0000000022-22-200-220−2i2i0000000022-22-200-220−2i2i0000000022-22-200-220−2i2i00000000
χ1944-4-4400000000000000044-4-4400000000000000044-4-4400000000000000044-4-44000000000000000
χ208-80000000000000000008-80000000000000000008-80000000000000000008-8000000000000000000
χ2111111111111111111111iiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2211111111111111-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ231111111111-1-1-1-11111-1-1iiiiiiiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii
χ241111111111-1-1-1-1-1-1-1-111iiiiiiiiii−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i
χ2511111-1-111-111-1-111-1-11-1iiiii−i−iii−iii−i−iii−i−ii−i-1-1-1-1-111-1-11-1-111-1-111-11−i−i−i−i−iii−i−ii−i−iii−i−iii−ii
χ2611111-1-111-111-1-1-1-111-11iiiii−i−iii−iii−i−i−i−iii−ii-1-1-1-1-111-1-11-1-11111-1-11-1−i−i−i−i−iii−i−ii−i−iiiii−i−ii−i
χ2711111-1-111-1-1-11111-1-1-11iiiii−i−iii−i−i−iiiii−i−i−ii-1-1-1-1-111-1-1111-1-1-1-1111-1−i−i−i−i−iii−i−iiii−i−i−i−iiii−i
χ2811111-1-111-1-1-111-1-1111-1iiiii−i−iii−i−i−iii−i−iiii−i-1-1-1-1-111-1-1111-1-111-1-1-11−i−i−i−i−iii−i−iiii−i−iii−i−i−ii
χ292222222-2-2-200000000002i2i2i2i2i2i2i−2i−2i−2i0000000000-2-2-2-2-2-2-22220000000000−2i−2i−2i−2i−2i−2i−2i2i2i2i0000000000
χ3022222-2-2-2-2200000000002i2i2i2i2i−2i−2i−2i−2i2i0000000000-2-2-2-2-22222-20000000000−2i−2i−2i−2i−2i2i2i2i2i−2i0000000000
χ31222-2-22-20000000i2−i2i2−i2002i2i2i−2i−2i2i−2i0000000−22−2200-2-2-222-220000000−i2i2−i2i200−2i−2i−2i2i2i−2i2i00000002−22−200
χ32222-2-22-20000000−i2i2−i2i2002i2i2i−2i−2i2i−2i00000002−22−200-2-2-222-220000000i2−i2i2−i200−2i−2i−2i2i2i−2i2i0000000−22−2200
χ33222-2-2-220000000i2−i2−i2i2002i2i2i−2i−2i−2i2i0000000−222−200-2-2-2222-20000000−i2i2i2−i200−2i−2i−2i2i2i2i−2i00000002−2−2200
χ34222-2-2-220000000−i2i2i2−i2002i2i2i−2i−2i−2i2i00000002−2−2200-2-2-2222-20000000i2−i2−i2i200−2i−2i−2i2i2i2i−2i0000000−222−200
χ3522-22-2002-20002i−2i0000002i2i−2i2i−2i002i−2i000-22000000-2-22-2200-22000−2i2i000000−2i−2i2i−2i2i00−2i2i0002-2000000
χ3622-22-2002-2000−2i2i0000002i2i−2i2i−2i002i−2i0002-2000000-2-22-2200-220002i−2i000000−2i−2i2i−2i2i00−2i2i000-22000000
χ3722-22-200-2202i−2i000000002i2i−2i2i−2i00−2i2i0-2200000000-2-22-22002-20−2i2i00000000−2i−2i2i−2i2i002i−2i02-200000000
χ3822-22-200-220−2i2i000000002i2i−2i2i−2i00−2i2i02-200000000-2-22-22002-202i−2i00000000−2i−2i2i−2i2i002i−2i0-2200000000
χ3944-4-440000000000000004i4i−4i−4i4i000000000000000-4-444-4000000000000000−4i−4i4i4i−4i000000000000000
χ408-80000000000000000008i−8i000000000000000000-88000000000000000000−8i8i000000000000000000
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ431111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ441111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4511111-1-111-111-1-111-1-11-1-1-1-1-1-111-1-11-1-111-1-111-1111111-1-111-111-1-111-1-11-1-1-1-1-1-111-1-11-1-111-1-111-11
χ4611111-1-111-111-1-1-1-111-11-1-1-1-1-111-1-11-1-11111-1-11-111111-1-111-111-1-1-1-111-11-1-1-1-1-111-1-11-1-11111-1-11-1
χ4711111-1-111-1-1-11111-1-1-11-1-1-1-1-111-1-1111-1-1-1-1111-111111-1-111-1-1-11111-1-1-11-1-1-1-1-111-1-1111-1-1-1-1111-1
χ4811111-1-111-1-1-111-1-1111-1-1-1-1-1-111-1-1111-1-111-1-1-1111111-1-111-1-1-111-1-1111-1-1-1-1-1-111-1-1111-1-111-1-1-11
χ492222222-2-2-20000000000-2-2-2-2-2-2-222200000000002222222-2-2-20000000000-2-2-2-2-2-2-22220000000000
χ5022222-2-2-2-220000000000-2-2-2-2-22222-2000000000022222-2-2-2-220000000000-2-2-2-2-22222-20000000000
χ51222-2-22-20000000i2−i2i2−i200-2-2-222-220000000−i2i2−i2i200222-2-22-20000000i2−i2i2−i200-2-2-222-220000000−i2i2−i2i200
χ52222-2-22-20000000−i2i2−i2i200-2-2-222-220000000i2−i2i2−i200222-2-22-20000000−i2i2−i2i200-2-2-222-220000000i2−i2i2−i200
χ53222-2-2-220000000i2−i2−i2i200-2-2-2222-20000000−i2i2i2−i200222-2-2-220000000i2−i2−i2i200-2-2-2222-20000000−i2i2i2−i200
χ54222-2-2-220000000−i2i2i2−i200-2-2-2222-20000000i2−i2−i2i200222-2-2-220000000−i2i2i2−i200-2-2-2222-20000000i2−i2−i2i200
χ5522-22-2002-20002i−2i000000-2-22-2200-22000−2i2i00000022-22-2002-20002i−2i000000-2-22-2200-22000−2i2i000000
χ5622-22-2002-2000−2i2i000000-2-22-2200-220002i−2i00000022-22-2002-2000−2i2i000000-2-22-2200-220002i−2i000000
χ5722-22-200-2202i−2i00000000-2-22-22002-20−2i2i0000000022-22-200-2202i−2i00000000-2-22-22002-20−2i2i00000000
χ5822-22-200-220−2i2i00000000-2-22-22002-202i−2i0000000022-22-200-220−2i2i00000000-2-22-22002-202i−2i00000000
χ5944-4-44000000000000000-4-444-400000000000000044-4-44000000000000000-4-444-4000000000000000
χ608-8000000000000000000-880000000000000000008-8000000000000000000-88000000000000000000
χ6111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii
χ6211111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiiii−i−i−i−i−i−i
χ631111111111-1-1-1-11111-1-1−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-11111-1-1-1-111iiiiiiiiii−i−i−i−iiiii−i−i
χ641111111111-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiiiii−i−i−i−i−i−i−i−iii
χ6511111-1-111-111-1-111-1-11-1−i−i−i−i−iii−i−ii−i−iii−i−iii−ii-1-1-1-1-111-1-11-1-111-1-111-11iiiii−i−iii−iii−i−iii−i−ii−i
χ6611111-1-111-111-1-1-1-111-11−i−i−i−i−iii−i−ii−i−iiiii−i−ii−i-1-1-1-1-111-1-11-1-11111-1-11-1iiiii−i−iii−iii−i−i−i−iii−ii
χ6711111-1-111-1-1-11111-1-1-11−i−i−i−i−iii−i−iiii−i−i−i−iiii−i-1-1-1-1-111-1-1111-1-1-1-1111-1iiiii−i−iii−i−i−iiiii−i−i−ii
χ6811111-1-111-1-1-111-1-1111-1−i−i−i−i−iii−i−iiii−i−iii−i−i−ii-1-1-1-1-111-1-1111-1-111-1-1-11iiiii−i−iii−i−i−iii−i−iiii−i
χ692222222-2-2-20000000000−2i−2i−2i−2i−2i−2i−2i2i2i2i0000000000-2-2-2-2-2-2-222200000000002i2i2i2i2i2i2i−2i−2i−2i0000000000
χ7022222-2-2-2-220000000000−2i−2i−2i−2i−2i2i2i2i2i−2i0000000000-2-2-2-2-22222-200000000002i2i2i2i2i−2i−2i−2i−2i2i0000000000
χ71222-2-22-20000000i2−i2i2−i200−2i−2i−2i2i2i−2i2i00000002−22−200-2-2-222-220000000−i2i2−i2i2002i2i2i−2i−2i2i−2i0000000−22−2200
χ72222-2-22-20000000−i2i2−i2i200−2i−2i−2i2i2i−2i2i0000000−22−2200-2-2-222-220000000i2−i2i2−i2002i2i2i−2i−2i2i−2i00000002−22−200
χ73222-2-2-220000000i2−i2−i2i200−2i−2i−2i2i2i2i−2i00000002−2−2200-2-2-2222-20000000−i2i2i2−i2002i2i2i−2i−2i−2i2i0000000−222−200
χ74222-2-2-220000000−i2i2i2−i200−2i−2i−2i2i2i2i−2i0000000−222−200-2-2-2222-20000000i2−i2−i2i2002i2i2i−2i−2i−2i2i00000002−2−2200
χ7522-22-2002-20002i−2i000000−2i−2i2i−2i2i00−2i2i0002-2000000-2-22-2200-22000−2i2i0000002i2i−2i2i−2i002i−2i000-22000000
χ7622-22-2002-2000−2i2i000000−2i−2i2i−2i2i00−2i2i000-22000000-2-22-2200-220002i−2i0000002i2i−2i2i−2i002i−2i0002-2000000
χ7722-22-200-2202i−2i00000000−2i−2i2i−2i2i002i−2i02-200000000-2-22-22002-20−2i2i000000002i2i−2i2i−2i00−2i2i0-2200000000
χ7822-22-200-220−2i2i00000000−2i−2i2i−2i2i002i−2i0-2200000000-2-22-22002-202i−2i000000002i2i−2i2i−2i00−2i2i02-200000000
χ7944-4-44000000000000000−4i−4i4i4i−4i000000000000000-4-444-40000000000000004i4i−4i−4i4i000000000000000
χ808-8000000000000000000−8i8i000000000000000000-880000000000000000008i−8i000000000000000000

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