Finite Group Databasebeta

← Group #10877362

Character table — Group #10877362

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222222244444444888888888888888888881212121216161616161616161616242424242424242424244848
order124422234446661212121266888812122466888888121224242424242424242244882424242424242424448888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ911111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-111-1-1-1-11-1
χ1011111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-11111-11
χ1111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-111-1-1-11
χ1211111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1111-1
χ1311111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1111-1-1-1-111-1-11111-1-1-1-1-11
χ1411111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1
χ1511111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1-111-1-11-1
χ1611111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-111-1-111-11
χ172222222-1222-1-1-1-1-1-1-1-1-12222-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-1-1-1-1-1-1-12222-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ192222222-1222-1-1-1-1-1-1-1-1-12222-1-1-2-2112222-2-211-1-1-1-111110000-2-2-1-1-1-11111000000000000
χ202222222-1222-1-1-1-1-1-1-1-1-12222-1-1-2-211-2-2-2-2-2-211-1-1-1-111110000221111-1-1-1-1000000000000
χ212222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-122-2-2-2-2-1-11111111100002-2-1-111-1-111000000000000
χ222222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-2-222-2-2-1-1111111110000-2211-1-111-1-1000000000000
χ232222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-21122-2-222111111-1-1-1-10000-22-1-11111-1-1000000000000
χ242222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-211-2-22222111111-1-1-1-100002-211-1-1-1-111000000000000
χ252222-2-222-22-2-2-2222-2-22-222-2-2-2200000000000022-2-200002-22-20000000000000000002-200
χ262222-2-222-22-2-2-2222-2-22-222-2-2-2200000000000022-2-20000-22-22000000000000000000-2200
χ272222-2-222-22-2-2-2222-2-22-2-2-222-22000000000000-2-22200002-22-2000000000000000000-2200
χ282222-2-222-22-2-2-2222-2-22-2-2-222-22000000000000-2-2220000-22-220000000000000000002-200
χ2922-2-22222-2-2-2222-2-2-2-2220000-2-22-222000000-2-2000000002-2-2200000000002-20000000000
χ3022-2-22222-2-2-2222-2-2-2-2220000-2-22-222000000-2-200000000-222-20000000000-220000000000
χ3122-2-22222-2-2-2222-2-2-2-2220000-2-2-22-2-200000022000000002-2-220000000000-220000000000
χ3222-2-22222-2-2-2222-2-2-2-2220000-2-2-22-2-20000002200000000-222-200000000002-20000000000
χ3322-2-22-2-2222-2-2-22-2-222-222-22-2-220000000000002-22-200000000000000000000002i−2i2i−2i0000
χ3422-2-22-2-2222-2-2-22-2-222-222-22-2-220000000000002-22-20000000000000000000000−2i2i−2i2i0000
χ3522-2-22-2-2222-2-2-22-2-222-22-22-22-22000000000000-22-2200000000000000000000002i−2i−2i2i0000
χ3622-2-22-2-2222-2-2-22-2-222-22-22-22-22000000000000-22-220000000000000000000000−2i2i2i−2i0000
χ3722-2-2-22-22-222222-2-2-2-2-2-22-2-222200002i−2i2i−2i00002-2-2200000000002i−2i2i−2i0000000000000000
χ3822-2-2-22-22-222222-2-2-2-2-2-22-2-22220000−2i2i−2i2i00002-2-220000000000−2i2i−2i2i0000000000000000
χ3922-2-2-22-22-222222-2-2-2-2-2-2-222-22200002i−2i−2i2i0000-222-200000000002i−2i−2i2i0000000000000000
χ4022-2-2-22-22-222222-2-2-2-2-2-2-222-2220000−2i2i2i−2i0000-222-20000000000−2i2i2i−2i0000000000000000
χ4122-2-2-22-2-1-222-1-1-11111112-2-22-1-100−i3i32i−2i2i−2i00−i3i3-111-1−i3−i3i3i3000000−ii−ii3−33−3000000000000
χ4222-2-2-22-2-1-222-1-1-11111112-2-22-1-100−i3i3−2i2i−2i2i00−i3i3-111-1−i3−i3i3i3000000i−ii−i−33−33000000000000
χ4322-2-2-22-2-1-222-1-1-11111112-2-22-1-100i3−i32i−2i2i−2i00i3−i3-111-1i3i3−i3−i3000000−ii−ii−33−33000000000000
χ4422-2-2-22-2-1-222-1-1-11111112-2-22-1-100i3−i3−2i2i−2i2i00i3−i3-111-1i3i3−i3−i3000000i−ii−i3−33−3000000000000
χ4522-2-2-22-2-1-222-1-1-1111111-222-2-1-100−i3i32i−2i−2i2i00−i3i31-1-11i3i3−i3−i3000000−iii−i3−3−33000000000000
χ4622-2-2-22-2-1-222-1-1-1111111-222-2-1-100−i3i3−2i2i2i−2i00−i3i31-1-11i3i3−i3−i3000000i−i−ii−333−3000000000000
χ4722-2-2-22-2-1-222-1-1-1111111-222-2-1-100i3−i32i−2i−2i2i00i3−i31-1-11−i3−i3i3i3000000−iii−i−333−3000000000000
χ4822-2-2-22-2-1-222-1-1-1111111-222-2-1-100i3−i3−2i2i2i−2i00i3−i31-1-11−i3−i3i3i3000000i−i−ii3−3−33000000000000
χ4922-2-2-2-2222-22-2-22-2-2222-200002-2000000002i−2i0000002i−2i2i−2i22-2-20000000000002i−2i00000000
χ5022-2-2-2-2222-22-2-22-2-2222-200002-2000000002i−2i0000002i−2i2i−2i-2-222000000000000−2i2i00000000
χ5122-2-2-2-2222-22-2-22-2-2222-200002-200000000−2i2i000000−2i2i−2i2i22-2-2000000000000−2i2i00000000
χ5222-2-2-2-2222-22-2-22-2-2222-200002-200000000−2i2i000000−2i2i−2i2i-2-2220000000000002i−2i00000000
χ5344444-4-44-4-44-4-4444-4-4-4400004-40000000000000000000000000000000000000000000000
χ5444444-4-4-2-4-4422-2-2-2222-20000-22000000000000000023−23−232300000000000000000000000000
χ5544444-4-4-2-4-4422-2-2-2222-20000-220000000000000000−232323−2300000000000000000000000000
χ564444-44-444-4-44444444-4-40000-4-40000000000000000000000000000000000000000000000
χ574444-44-4-24-4-4-2-2-2-2-2-2-22200002200−2i32i30000002i3−2i30000000000000000000000000000000000
χ584444-44-4-24-4-4-2-2-2-2-2-2-222000022002i3−2i3000000−2i32i30000000000000000000000000000000000
χ594444-4-44-2-44-422-2-2-222-2244-4-42-2000000000000-2-222000000000000000000000000000000
χ604444-4-44-2-44-422-2-2-222-22-4-4442-200000000000022-2-2000000000000000000000000000000
χ6144-4-4444-2-4-4-4-2-2-22222-2-20000224-4-2-2000000220000000000000000000000000000000000
χ6244-4-4444-2-4-4-4-2-2-22222-2-2000022-4422000000-2-20000000000000000000000000000000000
χ6344-4-44-4-4-244-422-222-2-22-24-44-42-2000000000000-22-22000000000000000000000000000000
χ6444-4-44-4-4-244-422-222-2-22-2-44-442-20000000000002-22-2000000000000000000000000000000
χ6544-4-4-4-44-24-4422-222-2-2-220000-22000000004i−4i000000−2i2i−2i2i00000000000000000000000000
χ6644-4-4-4-44-24-4422-222-2-2-220000-2200000000−4i4i0000002i−2i2i−2i00000000000000000000000000
χ678-88i−8i000800000-88i−8i00000000000000000000000000000000000000000000000000000000
χ688-88i−8i000-4000−4i34i34−4i4i43−43000000000000000000000000000000000000000000000000000000
χ698-88i−8i000-40004i3−4i34−4i4i−4343000000000000000000000000000000000000000000000000000000
χ708-8−8i8i000800000-8−8i8i00000000000000000000000000000000000000000000000000000000
χ718-8−8i8i000-4000−4i34i344i−4i−4343000000000000000000000000000000000000000000000000000000
χ728-8−8i8i000-40004i3−4i344i−4i43−43000000000000000000000000000000000000000000000000000000

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