Finite Group Databasebeta

← Group #10883508

Character table — Group #10883508

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order122222344446666612121212222224888824242424444488886666688122424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1111-1-1-1-11111-1-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-111-11
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1111111-1-111-1-11-1
χ911111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-111-1-111-1-111-1-1-11
χ1011111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-111-1-111-1-1-1-111-1-1111-1
χ1111111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-1-1-111111-1
χ1211111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1-111-1-1111111-1-1-1-1-11
χ1311111111111111111111-1-1-1-1111111111111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-111-1-1
χ1411111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11111-1-111
χ1511111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111111111-1-1
χ172222222-2-2-2-222222-2-2-2-2000000002i−2i000022-2-200000000000000002i−2i0000002i−2i00
χ182222222-2-2-2-222222-2-2-2-2000000002i−2i0000-2-22200000000000000002i−2i000000−2i2i00
χ192222222-2-2-2-222222-2-2-2-200000000−2i2i000022-2-20000000000000000−2i2i000000−2i2i00
χ202222222-2-2-2-222222-2-2-2-200000000−2i2i0000-2-2220000000000000000−2i2i0000002i−2i00
χ21222222-12222-1-1-1-1-1-1-1-1-12222222222-1-1-1-100000000-1-1-1-1-122-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-1-1-1-1-12222-2-222-2-2-1-1-1-100000000-1-1-1-11-2-211111110000000000
χ23222222-12222-1-1-1-1-1-1-1-1-122-2-222-2-2-2-2111100000000-1-111-12-2-1-1-111110000000000
χ24222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222111100000000-1-1111-22111-1-1-1-10000000000
χ25222222-12222-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211110000000011-1-1-1-22-111-1-1110000000000
χ26222222-12222-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22211110000000011-1-112-21-1-111-1-10000000000
χ27222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1000000001111-1-2-2-11111-1-10000000000
χ28222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-1-1-1-10000000011111221-1-1-1-1110000000000
χ292222-2-222-2-22222-2-222-2-20000002-20022-2-22-22-222-2-2000000000000000000000000
χ302222-2-222-2-22222-2-222-2-20000002-20022-2-2-22-22-2-222000000000000000000000000
χ312222-2-222-2-22222-2-222-2-2000000-2200-2-2222-22-2-2-222000000000000000000000000
χ322222-2-222-2-22222-2-222-2-2000000-2200-2-222-22-2222-2-2000000000000000000000000
χ332222-2-22-222-2222-2-2-2-22200002-2000000002-2-2200000000200-20000002-200000000
χ342222-2-22-222-2222-2-2-2-22200002-200000000-222-200000000200-2000000-2200000000
χ352222-2-22-222-2222-2-2-2-2220000-22000000002-2-2200000000-2002000000-2200000000
χ362222-2-22-222-2222-2-2-2-2220000-2200000000-222-200000000-20020000002-200000000
χ3722-2-22-2222-2-2-2-222-22-22-2002-2000000000000002i−2i2i−2i002-20000000000002i−2i000000
χ3822-2-22-2222-2-2-2-222-22-22-2002-200000000000000−2i2i−2i2i002-2000000000000−2i2i000000
χ3922-2-22-2222-2-2-2-222-22-22-200-22000000000000002i−2i2i−2i00-22000000000000−2i2i000000
χ4022-2-22-2222-2-2-2-222-22-22-200-2200000000000000−2i2i−2i2i00-220000000000002i−2i000000
χ4122-2-2-2222-22-2-2-22-222-2-222-200000000000000002i−2i−2i2i2-200000000000000002i−2i0000
χ4222-2-2-2222-22-2-2-22-222-2-222-20000000000000000−2i2i2i−2i2-20000000000000000−2i2i0000
χ4322-2-2-2222-22-2-2-22-222-2-22-2200000000000000002i−2i−2i2i-220000000000000000−2i2i0000
χ4422-2-2-2222-22-2-2-22-222-2-22-220000000000000000−2i2i2i−2i-2200000000000000002i−2i0000
χ45444444-2-4-4-4-4-2-2-2-2-22222000000004i−4i000000000000000000000000−2i2i0000000000
χ46444444-2-4-4-4-4-2-2-2-2-2222200000000−4i4i0000000000000000000000002i−2i0000000000
χ474444-4-4-24-4-44-2-2-222-2-2220000004-400-2-22200000000000000000000000000000000
χ484444-4-4-24-4-44-2-2-222-2-222000000-440022-2-200000000000000000000000000000000
χ494444-4-4-2-444-4-2-2-22222-2-200004-400000000000000000000-20020000000000000000
χ504444-4-4-2-444-4-2-2-22222-2-20000-4400000000000000000000200-20000000000000000
χ5144-4-44-44-4-444-4-444-4-44-440000000000000000000000000000000000000000000000
χ5244-4-44-4-244-4-422-2-22-22-22004-400000000000000000000-2200000000000000000000
χ5344-4-44-4-244-4-422-2-22-22-2200-44000000000000000000002-200000000000000000000
χ5444-4-44-4-2-4-44422-2-222-22-2000000000000000000000000000000−2i32i300000000000000
χ5544-4-44-4-2-4-44422-2-222-22-20000000000000000000000000000002i3−2i300000000000000
χ5644-4-4-444-44-44-4-44-44-444-40000000000000000000000000000000000000000000000
χ5744-4-4-44-24-44-422-22-2-222-24-400000000000000000000-220000000000000000000000
χ5844-4-4-44-24-44-422-22-2-222-2-44000000000000000000002-20000000000000000000000
χ5944-4-4-44-2-44-4422-22-22-2-2200000000000000000000000000000000−2i32i3000000000000
χ6044-4-4-44-2-44-4422-22-22-2-22000000000000000000000000000000002i3−2i3000000000000
χ618-88-800800008-8-80000000000000000000000000000000000000000000000000000
χ628-88-800-40000-4440000000000000000002i6−2i600000000000000000000000000000000
χ638-88-800-40000-444000000000000000000−2i62i600000000000000000000000000000000
χ648-8-880080000-88-80000000000000000000000000000000000000000000000000000
χ658-8-8800-400004-4400000000000000002i6−2i60000000000000000000000000000000000
χ668-8-8800-400004-440000000000000000−2i62i60000000000000000000000000000000000

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