Finite Group Databasebeta

← Group #10822581

Character table — Group #10822581

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222444488888888888822224444448888161616161616161616161616333366666612121212242424242424242424242424
order122222222222224444444444443666666666666612121212121212121212121222222222222222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ311111111111111-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1
χ411111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111
χ51111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ61111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111
χ71111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111
χ81111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ922222-2-22-2-2000000002-200000022222-2-22-2-2000000002-200000022222-2-22-2-2000000002-2000000
χ1022222-2-22-2-200000000-2200000022222-2-22-2-200000000-2200000022222-2-22-2-200000000-22000000
χ112222-22-2-22-20000002-2000000002222-22-2-22-20000002-2000000002222-22-2-22-20000002-200000000
χ122222-22-2-22-2000000-22000000002222-22-2-22-2000000-22000000002222-22-2-22-2000000-2200000000
χ132222-2-22-2-2200002-200000000002222-2-22-2-2200002-200000000002222-2-22-2-2200002-20000000000
χ142222-2-22-2-220000-2200000000002222-2-22-2-220000-2200000000002222-2-22-2-220000-220000000000
χ1522-2-2222-2-2-222-2-200000000000022-2-2222-2-2-222-2-200000000000022-2-2222-2-2-222-2-2000000000000
χ1622-2-2222-2-2-2-2-22200000000000022-2-2222-2-2-2-2-22200000000000022-2-2222-2-2-2-2-222000000000000
χ1722-2-22-2-2-222000000000000002i−2i22-2-22-2-2-222000000000000002i−2i22-2-22-2-2-222000000000000002i−2i
χ1822-2-22-2-2-22200000000000000−2i2i22-2-22-2-2-22200000000000000−2i2i22-2-22-2-2-22200000000000000−2i2i
χ1922-2-2-22-22-220000000000002i−2i0022-2-2-22-22-220000000000002i−2i0022-2-2-22-22-220000000000002i−2i00
χ2022-2-2-22-22-22000000000000−2i2i0022-2-2-22-22-22000000000000−2i2i0022-2-2-22-22-22000000000000−2i2i00
χ2122-2-2-2-2222-200000000002i−2i000022-2-2-2-2222-200000000002i−2i000022-2-2-2-2222-200000000002i−2i0000
χ2222-2-2-2-2222-20000000000−2i2i000022-2-2-2-2222-20000000000−2i2i000022-2-2-2-2222-20000000000−2i2i0000
χ234-44-40000002-22-20000000000004-44-40000002-22-20000000000004-44-40000002-22-2000000000000
χ244-44-4000000-22-220000000000004-44-4000000-22-220000000000004-44-4000000-22-22000000000000
χ254-4-440000002-2-220000000000004-4-440000002-2-220000000000004-4-440000002-2-22000000000000
χ264-4-44000000-222-20000000000004-4-44000000-222-20000000000004-4-44000000-222-2000000000000
χ271111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ2911111111111111-1-111-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ3011111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ311111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ321111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ331111111111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ341111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ3522222-2-22-2-2000000002-200000022222-2-22-2-2000000002-2000000-2-2-2-2-222-22200000000-22000000
χ3622222-2-22-2-200000000-2200000022222-2-22-2-200000000-22000000-2-2-2-2-222-222000000002-2000000
χ372222-22-2-22-20000002-2000000002222-22-2-22-20000002-200000000-2-2-2-22-222-22000000-2200000000
χ382222-22-2-22-2000000-22000000002222-22-2-22-2000000-2200000000-2-2-2-22-222-220000002-200000000
χ392222-2-22-2-2200002-200000000002222-2-22-2-2200002-20000000000-2-2-2-222-222-20000-220000000000
χ402222-2-22-2-220000-2200000000002222-2-22-2-220000-220000000000-2-2-2-222-222-200002-20000000000
χ4122-2-2222-2-2-222-2-200000000000022-2-2222-2-2-222-2-2000000000000-2-222-2-2-2222-2-222000000000000
χ4222-2-2222-2-2-2-2-22200000000000022-2-2222-2-2-2-2-222000000000000-2-222-2-2-222222-2-2000000000000
χ4322-2-22-2-2-222000000000000002i−2i22-2-22-2-2-222000000000000002i−2i-2-222-2222-2-200000000000000−2i2i
χ4422-2-22-2-2-22200000000000000−2i2i22-2-22-2-2-22200000000000000−2i2i-2-222-2222-2-2000000000000002i−2i
χ4522-2-2-22-22-220000000000002i−2i0022-2-2-22-22-220000000000002i−2i00-2-2222-22-22-2000000000000−2i2i00
χ4622-2-2-22-22-22000000000000−2i2i0022-2-2-22-22-22000000000000−2i2i00-2-2222-22-22-20000000000002i−2i00
χ4722-2-2-2-2222-200000000002i−2i000022-2-2-2-2222-200000000002i−2i0000-2-22222-2-2-220000000000−2i2i0000
χ4822-2-2-2-2222-20000000000−2i2i000022-2-2-2-2222-20000000000−2i2i0000-2-22222-2-2-2200000000002i−2i0000
χ494-44-40000002-22-20000000000004-44-40000002-22-2000000000000-44-44000000-22-22000000000000
χ504-44-4000000-22-220000000000004-44-4000000-22-22000000000000-44-440000002-22-2000000000000
χ514-4-440000002-2-220000000000004-4-440000002-2-22000000000000-444-4000000-222-2000000000000
χ524-4-44000000-222-20000000000004-4-44000000-222-2000000000000-444-40000002-2-22000000000000
χ5322222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ542222222222222222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111100000000000000000000000000
χ5522222222222222-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11100000000000000000000000000
χ5622222222222222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-100000000000000000000000000
χ572222222222-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111100000000000000000000000000
χ582222222222-2-2-2-222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-100000000000000000000000000
χ592222222222-2-2-2-2-2-222-2-222-2-222-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-100000000000000000000000000
χ602222222222-2-2-2-2-2-2-2-2222222-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11100000000000000000000000000
χ6144444-4-44-4-4000000004-4000000-2-2-2-2-222-22200000000-2200000000000000000000000000000000
χ6244444-4-44-4-400000000-44000000-2-2-2-2-222-222000000002-200000000000000000000000000000000
χ634444-44-4-44-40000004-400000000-2-2-2-22-222-22000000-220000000000000000000000000000000000
χ644444-44-4-44-4000000-4400000000-2-2-2-22-222-220000002-20000000000000000000000000000000000
χ654444-4-44-4-4400004-40000000000-2-2-2-222-222-20000-22000000000000000000000000000000000000
χ664444-4-44-4-440000-440000000000-2-2-2-222-222-200002-2000000000000000000000000000000000000
χ6744-4-4444-4-4-444-4-4000000000000-2-222-2-2-2222-2-22200000000000000000000000000000000000000
χ6844-4-4444-4-4-4-4-444000000000000-2-222-2-2-222222-2-200000000000000000000000000000000000000
χ6944-4-44-4-4-444000000000000004i−4i-2-222-2222-2-200000000000000−2i2i00000000000000000000000000
χ7044-4-44-4-4-44400000000000000−4i4i-2-222-2222-2-2000000000000002i−2i00000000000000000000000000
χ7144-4-4-44-44-440000000000004i−4i00-2-2222-22-22-2000000000000−2i2i0000000000000000000000000000
χ7244-4-4-44-44-44000000000000−4i4i00-2-2222-22-22-20000000000002i−2i0000000000000000000000000000
χ7344-4-4-4-4444-400000000004i−4i0000-2-22222-2-2-220000000000−2i2i000000000000000000000000000000
χ7444-4-4-4-4444-40000000000−4i4i0000-2-22222-2-2-2200000000002i−2i000000000000000000000000000000
χ758-88-80000004-44-4000000000000-44-44000000-22-2200000000000000000000000000000000000000
χ768-88-8000000-44-44000000000000-44-440000002-22-200000000000000000000000000000000000000
χ778-8-880000004-4-44000000000000-444-4000000-222-200000000000000000000000000000000000000
χ788-8-88000000-444-4000000000000-444-40000002-2-2200000000000000000000000000000000000000

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