Finite Group Databasebeta

← Group #10831128

Character table — Group #10831128

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222222244444444888888888888888888881212121216161616161616161616242424242424242424244848
order124422234446661212121266888812122244448812121212242424242424242422446688121224242424222444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-111-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1-11111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-111-1-1
χ911111111111111111111-1-1-1-1111-11-111-1-11111-1-1-1-1-1-1-1-111111-11-11-111-1-11-111-11-1-1-1-11-1
χ1011111111111111111111-1-1-1-1111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-1-1-11-1-11-11111-11
χ1111111111111111111111-1-1-1-1111-11-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-1111-1-11-1-1-1-111-11
χ1211111111111111111111-1-1-1-1111-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-111-111-11111-1-11-1
χ1311111111111111111111-1-1-1-111-11-1111-1-11111-1-1-1-1-1-1-1-11111-11-11-11-1-111-111-111-1-1-1-1-11
χ1411111111111111111111-1-1-1-111-11-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1111-1-11-1-111111-1
χ1511111111111111111111-1-1-1-111-11-11-1-111-1-1-1-11111-1-1-1-11111-111-1-1111-1-1-11-1-11-1-1-1111-1
χ1611111111111111111111-1-1-1-111-11-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-11-111-1111-1-1-11
χ172222222-1222-1-1-1-1-1-1-1-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000-1-122-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-1-1-1-1-1-1-12222-1-12222-2-2-2-211111111-1-1-1-10000-1-1-2-2-1-11111000000000000
χ192222222-1222-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000011-2-2111111000000000000
χ202222222-1222-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-2-211111111-1-1-1-10000112211-1-1-1-1000000000000
χ212222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-12-22-222-2-2-1-1-1-1111111110000-112-2-11-1-111000000000000
χ222222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-12-22-2-2-2221111-1-1-1-111110000-11-22-1111-1-1000000000000
χ232222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-22-2222-2-2-1-1-1-11111111100001-1-221-111-1-1000000000000
χ242222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-22-22-2-2221111-1-1-1-1111100001-12-21-1-1-111000000000000
χ252222-2-222-2-22-2-2222-2-2-2222-2-2-22000000000000000022-2-22-22-200000000000000002-20000
χ262222-2-222-2-22-2-2222-2-2-2222-2-2-22000000000000000022-2-2-22-220000000000000000-220000
χ272222-2-222-2-22-2-2222-2-2-22-2-222-220000000000000000-2-2222-22-20000000000000000-220000
χ282222-2-222-2-22-2-2222-2-2-22-2-222-220000000000000000-2-222-22-2200000000000000002-20000
χ2922-2-22222-2-2-2222-2-2-2-2220000-2-20000002i−2i00002i2i−2i−2i00002-2-220000000000000000002i−2i00
χ3022-2-22222-2-2-2222-2-2-2-2220000-2-20000002i−2i00002i2i−2i−2i0000-222-2000000000000000000−2i2i00
χ3122-2-22222-2-2-2222-2-2-2-2220000-2-2000000−2i2i0000−2i−2i2i2i00002-2-22000000000000000000−2i2i00
χ3222-2-22222-2-2-2222-2-2-2-2220000-2-2000000−2i2i0000−2i−2i2i2i0000-222-20000000000000000002i−2i00
χ3322-2-22-2-222-22-2-22-2-2222-22-22-2-2200000000000000002-22-200000000000000220-2-20000000
χ3422-2-22-2-222-22-2-22-2-2222-22-22-2-2200000000000000002-22-200000000000000-2-20220000000
χ3522-2-22-2-222-22-2-22-2-2222-2-22-22-220000000000000000-22-22000000000000002-20-220000000
χ3622-2-22-2-222-22-2-22-2-2222-2-22-22-220000000000000000-22-2200000000000000-2202-20000000
χ3722-2-2-22-22-222222-2-2-2-2-2-22-2-222222-2-20000000000002-2-2200002200-2-20000000000000000
χ3822-2-2-22-22-222222-2-2-2-2-2-22-2-2222-2-2220000000000002-2-220000-2-200220000000000000000
χ3922-2-2-22-22-222222-2-2-2-2-2-2-222-2222-2-22000000000000-222-200002-200-220000000000000000
χ4022-2-2-22-22-222222-2-2-2-2-2-2-222-222-222-2000000000000-222-20000-22002-20000000000000000
χ4122-2-2-22-2-1-222-1-1-11111112-2-22-1-122-2-2000033−3−33−33−3-111-10000-1-100113−33−3000000000000
χ4222-2-2-22-2-1-222-1-1-11111112-2-22-1-122-2-20000−3−333−33−33-111-10000-1-10011−33−33000000000000
χ4322-2-2-22-2-1-222-1-1-11111112-2-22-1-1-2-222000033−3−33−33−3-111-100001100-1-1−33−33000000000000
χ4422-2-2-22-2-1-222-1-1-11111112-2-22-1-1-2-2220000−3−333−33−33-111-100001100-1-13−33−3000000000000
χ4522-2-2-22-2-1-222-1-1-1111111-222-2-1-12-2-22000033−3−3−33−331-1-110000-11001-13−3−33000000000000
χ4622-2-2-22-2-1-222-1-1-1111111-222-2-1-12-2-220000−3−3333−33−31-1-110000-11001-1−333−3000000000000
χ4722-2-2-22-2-1-222-1-1-1111111-222-2-1-1-222-2000033−3−3−33−331-1-1100001-100-11−333−3000000000000
χ4822-2-2-22-2-1-222-1-1-1111111-222-2-1-1-222-20000−3−3333−33−31-1-1100001-100-113−3−33000000000000
χ4922-2-2-2-22222-2-2-22-2-222-2200002-200002-2002-22-20000000022-2-2000000000000200-2000000
χ5022-2-2-2-22222-2-2-22-2-222-2200002-200002-2002-22-200000000-2-222000000000000-2002000000
χ5122-2-2-2-22222-2-2-22-2-222-2200002-20000-2200-22-220000000022-2-2000000000000-2002000000
χ5222-2-2-2-22222-2-2-22-2-222-2200002-20000-2200-22-2200000000-2-222000000000000200-2000000
χ5344444-4-44-44-4-4-4444-4-44-400004-40000000000000000000000000000000000000000000000
χ5444444-4-4-2-44-422-2-2-222-220000-220000000023−23−23230000000000000000000000000000000000
χ5544444-4-4-2-44-422-2-2-222-220000-2200000000−232323−230000000000000000000000000000000000
χ564444-44-444-4-44444444-4-40000-4-40000000000000000000000000000000000000000000000
χ574444-44-4-24-4-4-2-2-2-2-2-2-222000022000000000000−2i32i32i3−2i3000000000000000000000000000000
χ584444-44-4-24-4-4-2-2-2-2-2-2-2220000220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ594444-4-44-2-4-4422-2-2-2222-244-4-42-20000000000000000-2-22200000000000000000000000000
χ604444-4-44-2-4-4422-2-2-2222-2-4-4442-2000000000000000022-2-200000000000000000000000000
χ6144-4-4444-2-4-4-4-2-2-22222-2-20000220000004i−4i0000−2i−2i2i2i000000000000000000000000000000
χ6244-4-4444-2-4-4-4-2-2-22222-2-2000022000000−4i4i00002i2i−2i−2i000000000000000000000000000000
χ6344-4-44-4-4-24-4422-222-2-2-224-44-42-20000000000000000-22-2200000000000000000000000000
χ6444-4-44-4-4-24-4422-222-2-2-22-44-442-200000000000000002-22-200000000000000000000000000
χ6544-4-4-4-44-244-422-222-2-22-20000-2200004-400-22-220000000000000000000000000000000000
χ6644-4-4-4-44-244-422-222-2-22-20000-220000-44002-22-20000000000000000000000000000000000
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).