Finite Group Databasebeta

← Group #10877382

Character table — Group #10877382

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222222244444444888888888888888888881212121216161616161616161616242424242424242424244848
order12442223444666121212126688881212448888881212121224242424242424242244441212121224242424248888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ911111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1-1-1-1-1-11-1
χ1011111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1111111-11
χ1111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-111-1-1-1-1-11
χ1211111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-111111-1
χ1311111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1-1-1-111-11
χ1411111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-11-1
χ1511111111111111111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111111111111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-111-1-1-11
χ172222222-1222-1-1-1-1-1-1-1-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-1-1-1-1-1-1-12222-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ192222222-1222-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-2222211111111-1-1-1-10000-2-21111-1-1-1-1000000000000
χ202222222-1222-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1000022-1-1-1-11111000000000000
χ212222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-2-222-2-2-1-1-1-11111111100002-2-1-111-1-111000000000000
χ222222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-2-2-2-222-1-1-1-1111111110000-2211-1-111-1-1000000000000
χ232222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-22222-2-21111-1-1-1-111110000-2211-1-1-1-111000000000000
χ242222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-222-2-2221111-1-1-1-1111100002-2-1-11111-1-1000000000000
χ2522222-2-22-2-222-2-2-2-222-2222-2-2-22000000000000000022-2-22-22-200000000000000002-20000
χ2622222-2-22-2-222-2-2-2-222-2222-2-2-22000000000000000022-2-2-22-220000000000000000-220000
χ2722222-2-22-2-222-2-2-2-222-22-2-222-220000000000000000-2-2222-22-20000000000000000-220000
χ2822222-2-22-2-222-2-2-2-222-22-2-222-220000000000000000-2-222-22-2200000000000000002-20000
χ2922-2-22222-2-2-2222-2-2-2-2220000-2-2002i−2i000000002i2i−2i−2i00002-2-220000000000000000002i−2i00
χ3022-2-22222-2-2-2222-2-2-2-2220000-2-2002i−2i000000002i2i−2i−2i0000-222-2000000000000000000−2i2i00
χ3122-2-22222-2-2-2222-2-2-2-2220000-2-200−2i2i00000000−2i−2i2i2i00002-2-22000000000000000000−2i2i00
χ3222-2-22222-2-2-2222-2-2-2-2220000-2-200−2i2i00000000−2i−2i2i2i0000-222-20000000000000000002i−2i00
χ3322-2-22-2-2222-22-2-222-2-2-2200002-22-200000022-2-20000000022-2-200000000002-20000000000
χ3422-2-22-2-2222-22-2-222-2-2-2200002-22-200000022-2-200000000-2-2220000000000-220000000000
χ3522-2-22-2-2222-22-2-222-2-2-2200002-2-22000000-2-2220000000022-2-20000000000-220000000000
χ3622-2-22-2-2222-22-2-222-2-2-2200002-2-22000000-2-22200000000-2-22200000000002-20000000000
χ3722-2-2-22-222-22222-2-2-2-2-2-22-22-22200002i−2i2i−2i000000002-22-200000000002i−2i2i−2i000000000000
χ3822-2-2-22-222-22222-2-2-2-2-2-22-22-2220000−2i2i−2i2i000000002-22-20000000000−2i2i−2i2i000000000000
χ3922-2-2-22-222-22222-2-2-2-2-2-2-22-222200002i−2i−2i2i00000000-22-2200000000002i−2i−2i2i000000000000
χ4022-2-2-22-222-22222-2-2-2-2-2-2-22-22220000−2i2i2i−2i00000000-22-220000000000−2i2i2i−2i000000000000
χ4122-2-2-22-2-12-22-1-1-11111112-22-2-1-100002i−2i2i−2i3−33−33−33−3-11-11000000−i3i3−i3i3−ii−ii000000000000
χ4222-2-2-22-2-12-22-1-1-11111112-22-2-1-100002i−2i2i−2i−33−33−33−33-11-11000000i3−i3i3−i3−ii−ii000000000000
χ4322-2-2-22-2-12-22-1-1-11111112-22-2-1-10000−2i2i−2i2i3−33−33−33−3-11-11000000i3−i3i3−i3i−ii−i000000000000
χ4422-2-2-22-2-12-22-1-1-11111112-22-2-1-10000−2i2i−2i2i−33−33−33−33-11-11000000−i3i3−i3i3i−ii−i000000000000
χ4522-2-2-22-2-12-22-1-1-1111111-22-22-1-100002i−2i−2i2i3−33−3−33−331-11-1000000−i3i3i3−i3−iii−i000000000000
χ4622-2-2-22-2-12-22-1-1-1111111-22-22-1-100002i−2i−2i2i−33−333−33−31-11-1000000i3−i3−i3i3−iii−i000000000000
χ4722-2-2-22-2-12-22-1-1-1111111-22-22-1-10000−2i2i2i−2i3−33−3−33−331-11-1000000i3−i3−i3i3i−i−ii000000000000
χ4822-2-2-22-2-12-22-1-1-1111111-22-22-1-10000−2i2i2i−2i−33−333−33−31-11-1000000−i3i3i3−i3i−i−ii000000000000
χ4922-2-2-2-222-2222-2-222-2-22-22-2-22-2200000000000000002-2-2200000000000000002i−2i2i−2i000000
χ5022-2-2-2-222-2222-2-222-2-22-22-2-22-2200000000000000002-2-220000000000000000−2i2i−2i2i000000
χ5122-2-2-2-222-2222-2-222-2-22-2-222-2-220000000000000000-222-200000000000000002i−2i−2i2i000000
χ5222-2-2-2-222-2222-2-222-2-22-2-222-2-220000000000000000-222-20000000000000000−2i2i2i−2i000000
χ5344444-4-4-2-4-44-22222-2-22-244-4-42-20000000000000000-2-22200000000000000000000000000
χ5444444-4-4-2-4-44-22222-2-22-2-4-4442-2000000000000000022-2-200000000000000000000000000
χ554444-44-44-44-44444444-4-40000-4-40000000000000000000000000000000000000000000000
χ564444-44-4-2-44-4-2-2-2-2-2-2-222000022000000000000−2i32i32i3−2i3000000000000000000000000000000
χ574444-44-4-2-44-4-2-2-2-2-2-2-2220000220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ584444-4-4444-4-44-4-4-4-4444-400004-40000000000000000000000000000000000000000000000
χ594444-4-44-24-4-4-22222-2-2-220000-220000000023−23−23230000000000000000000000000000000000
χ604444-4-44-24-4-4-22222-2-2-220000-2200000000−232323−230000000000000000000000000000000000
χ6144-4-4444-2-4-4-4-2-2-22222-2-2000022004i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ6244-4-4444-2-4-4-4-2-2-22222-2-200002200−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ6344-4-44-4-4-244-4-222-2-2222-20000-224-4000000-2-2220000000000000000000000000000000000
χ6444-4-44-4-4-244-4-222-2-2222-20000-22-4400000022-2-20000000000000000000000000000000000
χ6544-4-4-4-44-2-444-222-2-222-224-4-442-20000000000000000-222-200000000000000000000000000
χ6644-4-4-4-44-2-444-222-2-222-22-444-42-200000000000000002-2-2200000000000000000000000000
χ678-88i−8i0008000-800008i−8i000000000000000000000000000000000000000000000000000000
χ688-88i−8i000-40004−4i34i343−43−4i4i000000000000000000000000000000000000000000000000000000
χ698-88i−8i000-400044i3−4i3−4343−4i4i000000000000000000000000000000000000000000000000000000
χ708-8−8i8i0008000-80000−8i8i000000000000000000000000000000000000000000000000000000
χ718-8−8i8i000-40004−4i34i3−43434i−4i000000000000000000000000000000000000000000000000000000
χ728-8−8i8i000-400044i3−4i343−434i−4i000000000000000000000000000000000000000000000000000000

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