Finite Group Databasebeta

← Group #10896458

Character table — Group #10896458

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444444444444444488888888888816161616161616161616161624242424242424242424242424242424
order124422234446121266688888888121212242424244412121212242424242424448812121212242424242244444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-111-1-11-11-111-1-111-1-111-1-1
χ6111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-111-1-1-11-11-1-111-1-111-1-111
χ7111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111-11-1-1-11111-1-1-1-111
χ8111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-111-11-1111-1-1-1-11111-1-1
χ911111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1011111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-111-1-1-1-111-1-1
χ1211111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111
χ1311111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1111-11-11111-1-111-1-1-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-111-11-11-1-1-1-111-1-11111
χ1511111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11-11-1-1-1-1-1-1-1111111
χ1611111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-1-11-11111111-1-1-1-1-1-1
χ172222222-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ182222222-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ192222222-1222-1-1-1-1-1-12222-2-2-2-2-1-1-11111-2-21111-1-1-1-1112-22-2-1-111-1-1110000000000000000
χ202222222-1222-1-1-1-1-1-12222-2-2-2-2-1-1-11111-2-21111-1-1-1-111-22-2211-1-111-1-10000000000000000
χ212222222-1222-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-122-2-2-1-1-1-111110000000000000000
χ222222222-1222-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-2-2221111-1-1-1-10000000000000000
χ232222222-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1111122-1-1-1-11111112-2-22-1-11111-1-10000000000000000
χ242222222-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1111122-1-1-1-1111111-222-211-1-1-1-1110000000000000000
χ252222-2-222-22-2222-22-222-2-222-2-2-22-222222-222-2-222-2-2-2-20000000000000000000000000000
χ262222-2-222-22-2222-22-222-2-2-2-222-22-2-2-2-2-2-22-2-22222-2-2220000000000000000000000000000
χ272222-2-222-22-2222-22-2-2-22222-2-2-22-22222-22-2-222-2-222-2-20000000000000000000000000000
χ282222-2-222-22-2222-22-2-2-222-2-222-22-2-2-2-2-22-222-2-2-2-222220000000000000000000000000000
χ292222-2-22-1-22-2-1-1-11-1122-2-222-2-21-11-1-1-1-12-2-1-111-1-1111100003−33−33−33−30000000000000000
χ302222-2-22-1-22-2-1-1-11-1122-2-222-2-21-11-1-1-1-12-2-1-111-1-111110000−33−33−33−330000000000000000
χ312222-2-22-1-22-2-1-1-11-1122-2-2-2-2221-111111-2211-1-1-1-111-1-100003−3−333−3−330000000000000000
χ322222-2-22-1-22-2-1-1-11-1122-2-2-2-2221-111111-2211-1-1-1-111-1-10000−333−3−333−30000000000000000
χ332222-2-22-1-22-2-1-1-11-11-2-22222-2-21-11-1-1-1-1-2211-1-111-1-11100003−33−3−33−330000000000000000
χ342222-2-22-1-22-2-1-1-11-11-2-22222-2-21-11-1-1-1-1-2211-1-111-1-1110000−33−333−33−30000000000000000
χ352222-2-22-1-22-2-1-1-11-11-2-222-2-2221-1111112-2-1-11111-1-1-1-100003−3−33−333−30000000000000000
χ362222-2-22-1-22-2-1-1-11-11-2-222-2-2221-1111112-2-1-11111-1-1-1-10000−333−33−3−330000000000000000
χ3722-2-22222-2-2-22-2-22222i−2i2i−2i0000-2-2-200000000002i−2i2i−2i0000000000000000002-20000002i−2i00
χ3822-2-22222-2-2-22-2-22222i−2i2i−2i0000-2-2-200000000002i−2i2i−2i000000000000000000-22000000−2i2i00
χ3922-2-22222-2-2-22-2-2222−2i2i−2i2i0000-2-2-20000000000−2i2i−2i2i0000000000000000002-2000000−2i2i00
χ4022-2-22222-2-2-22-2-2222−2i2i−2i2i0000-2-2-20000000000−2i2i−2i2i000000000000000000-220000002i−2i00
χ4122-2-22-2-2222-22-2-22-2-200002-22-222-222-2-200000000002-200000000000022-2-2000000000000
χ4222-2-22-2-2222-22-2-22-2-200002-22-222-222-2-200000000002-2000000000000-2-222000000000000
χ4322-2-22-2-2222-22-2-22-2-20000-22-2222-2-2-2220000000000-220000000000002-2-22000000000000
χ4422-2-22-2-2222-22-2-22-2-20000-22-2222-2-2-2220000000000-22000000000000-222-2000000000000
χ4522-2-2-22-22-2222-2-2-2-2200002-2-22-22222-2-20000000000-22000000000000000000002i−2i2i−2i0000
χ4622-2-2-22-22-2222-2-2-2-2200002-2-22-22222-2-20000000000-2200000000000000000000−2i2i−2i2i0000
χ4722-2-2-22-22-2222-2-2-2-220000-222-2-222-2-22200000000002-2000000000000000000002i−2i−2i2i0000
χ4822-2-2-22-22-2222-2-2-2-220000-222-2-222-2-22200000000002-200000000000000000000−2i2i2i−2i0000
χ4922-2-2-2-2222-222-2-2-22-22i−2i−2i2i00002-2200000000002i−2i−2i2i000000000000000000002-20000002i−2i
χ5022-2-2-2-2222-222-2-2-22-22i−2i−2i2i00002-2200000000002i−2i−2i2i00000000000000000000-22000000−2i2i
χ5122-2-2-2-2222-222-2-2-22-2−2i2i2i−2i00002-220000000000−2i2i2i−2i000000000000000000002-2000000−2i2i
χ5222-2-2-2-2222-222-2-2-22-2−2i2i2i−2i00002-220000000000−2i2i2i−2i00000000000000000000-220000002i−2i
χ5344444-4-44-4-444444-4-400000000-4-4400000000000000000000000000000000000000000000
χ5444444-4-4-2-4-44-2-2-2-2220000000022-200000023−2323−230000000000000000000000000000000000
χ5544444-4-4-2-4-44-2-2-2-2220000000022-2000000−2323−23230000000000000000000000000000000000
χ564444-44-444-4-4444-4-44000000004-4-400000000000000000000000000000000000000000000
χ574444-44-4-24-4-4-2-2-222-200000000-22200000023−23−23230000000000000000000000000000000000
χ584444-44-4-24-4-4-2-2-222-200000000-222000000−232323−230000000000000000000000000000000000
χ5944-4-4444-2-4-4-4-222-2-2-24i−4i4i−4i00002220000000000−2i2i−2i2i000000000000000000000000000000
χ6044-4-4444-2-4-4-4-222-2-2-2−4i4i−4i4i000022200000000002i−2i2i−2i000000000000000000000000000000
χ6144-4-44-4-4-244-4-222-22200004-44-4-2-22-2-2220000000000-220000000000000000000000000000
χ6244-4-44-4-4-244-4-222-2220000-44-44-2-2222-2-200000000002-20000000000000000000000000000
χ6344-4-4-44-4-2-444-22222-200004-4-442-2-2-2-22200000000002-20000000000000000000000000000
χ6444-4-4-44-4-2-444-22222-20000-444-42-2-222-2-20000000000-220000000000000000000000000000
χ6544-4-4-4-44-24-44-2222-224i−4i−4i4i0000-22-20000000000−2i2i2i−2i000000000000000000000000000000
χ6644-4-4-4-44-24-44-2222-22−4i4i4i−4i0000-22-200000000002i−2i−2i2i000000000000000000000000000000
χ678-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000000000
χ688-88i−8i000-40004−4i4i0000000000000026−262i6−2i60000000000000000000000000000000000000000
χ698-88i−8i000-40004−4i4i00000000000000−2626−2i62i60000000000000000000000000000000000000000
χ708-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000000000
χ718-8−8i8i000-400044i−4i0000000000000026−26−2i62i60000000000000000000000000000000000000000
χ728-8−8i8i000-400044i−4i00000000000000−26262i6−2i60000000000000000000000000000000000000000

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