Finite Group Databasebeta

← Group #10901324

Character table — Group #10901324

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222222444444668888888888881212121616161616161616161616161616162424242424242424484848
order1222223444466666121212124422444444121212124442666688121212122424242444444444488
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1
χ311111111111111111111111-1-1-11-1111111111-11-1-1-11-1-1-11-111-1-11-11-1-1-111-11-1
χ411111111111111111111111-1-1-11-1-1-1-1-1-1-111111-111-11-1-11-1-1-1111-11-1-1-1-1-11-11
χ51111111111111111111111-11-1-1-11111111111-1-11-1-1-11-1-1-11-1-111-11-11-1-111-1-11
χ61111111111111111111111-11-1-1-11-1-1-1-1-1-11111-11111-1-1-1-1111-1-1-11-11-1-1-1-111-1
χ71111111111111111111111-1-111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11111-1-1-1-111-1-1-111
χ911111111111111111111-1-1111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111
χ1111111111111111111111-1-11-1-1-11-1111111-1-1-1-11-1-1-11-1-1-11-111-1-1-11-1111-1-11-11
χ1211111111111111111111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-111-111-11-1-11-1-1-111-11-111111-11-1
χ1311111111111111111111-1-1-11-1-1-11111111-1-1-1-1-11-1-1-11-1-1-11-1-1111-11-111-1-111-1
χ1411111111111111111111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111-1-11-11-11111-1-11
χ1511111111111111111111-1-1-1-111-1-1111111-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-111
χ1611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111-1-1
χ172222222-2-2-2-222222-2-2-2-222002-2000000002-2-200000002-200000000002-200000
χ182222222-2-2-2-222222-2-2-2-22200-22000000002-2-20000000-220000000000-2200000
χ192222222-2-2-2-222222-2-2-2-2-2-2002-200000000-22200000002-20000000000-2200000
χ202222222-2-2-2-222222-2-2-2-2-2-200-2200000000-2220000000-2200000000002-200000
χ21222222-12222-1-1-1-1-1-1-1-1-10022222222-1-1-1-10002-1-1-1-122-1-1-1-1-1-1-1-100000000000
χ22222222-12222-1-1-1-1-1-1-1-1-100222222-2-21111000-2-1-111-2-2-1-1-1-1111100000000000
χ23222222-12222-1-1-1-1-1-1-1-1-1002-2-2-22-222-1-1-1-1000-2-11112-211-11-1-11100000000000
χ24222222-12222-1-1-1-1-1-1-1-1-1002-2-2-22-2-2-211110002-11-1-1-2211-1111-1-100000000000
χ25222222-12222-1-1-1-1-1-1-1-1-100-22-2-2-2222-1-1-1-1000-21-111-22111-111-1-100000000000
χ26222222-12222-1-1-1-1-1-1-1-1-100-22-2-2-22-2-2111100021-1-1-12-2111-1-1-11100000000000
χ27222222-12222-1-1-1-1-1-1-1-1-100-2-222-2-222-1-1-1-1000211-1-1-2-2-1-111111100000000000
χ28222222-12222-1-1-1-1-1-1-1-1-100-2-222-2-2-2-21111000-2111122-1-111-1-1-1-100000000000
χ292222-2-222-22-2222-2-22-22-22202000-2000000-22-20020000000-20000020-20000000
χ302222-2-222-22-2222-2-22-22-2220-20002000000-22-200-20000000200000-2020000000
χ312222-2-222-22-2222-2-22-22-2-2-202000-20000002-220020000000-200000-2020000000
χ322222-2-222-22-2222-2-22-22-2-2-20-200020000002-2200-2000000020000020-20000000
χ332222-2-22-22-22222-2-2-22-22222000-20000000-2-22020000000-20000020-200000000
χ342222-2-22-22-22222-2-2-22-2222-200020000000-2-220-20000000200000-20200000000
χ352222-2-22-22-22222-2-2-22-22-2-22000-2000000022-2020000000-200000-20200000000
χ362222-2-22-22-22222-2-2-22-22-2-2-20002000000022-20-2000000020000020-200000000
χ37444444-2-4-4-4-4-2-2-2-2-2222200004-4000000000000000000-2200000000000000000
χ38444444-2-4-4-4-4-2-2-2-2-222220000-440000000000000000002-200000000000000000
χ394444-4-4-24-44-4-2-2-222-22-220004000-400000000000-200000002000000000000000
χ404444-4-4-24-44-4-2-2-222-22-22000-400040000000000020000000-2000000000000000
χ414444-4-4-2-44-44-2-2-2222-22-2004000-400000000000-2000000020000000000000000
χ424444-4-4-2-44-44-2-2-2222-22-200-400040000000000020000000-20000000000000000
χ434-44-40040000-44-40000004i−4i0000002-222-2-20000000000000000000000002i−2i000
χ444-44-40040000-44-40000004i−4i000000-22-2-222000000000000000000000000−2i2i000
χ454-44-40040000-44-4000000−4i4i0000002-222-2-2000000000000000000000000−2i2i000
χ464-44-40040000-44-4000000−4i4i000000-22-2-2220000000000000000000000002i−2i000
χ474-4-444-4444-4-4-4-444-444-4-40000000000000000000000000000000000000000000
χ484-4-444-44-4-444-4-444-4-4-4440000000000000000000000000000000000000000000
χ494-4-444-4-244-4-422-2-22-2-222000000000023−2323−2300000000000000000000000000000
χ504-4-444-4-244-4-422-2-22-2-2220000000000−2323−232300000000000000000000000000000
χ514-4-444-4-2-4-44422-2-2222-2-200000000000000000000−2i32i3000000000000000000000
χ524-4-444-4-2-4-44422-2-2222-2-2000000000000000000002i3−2i3000000000000000000000
χ534-4-44-4444-4-44-4-44-444-4-440000000000000000000000000000000000000000000
χ544-4-44-444-444-4-4-44-44-444-40000000000000000000000000000000000000000000
χ554-4-44-44-24-4-4422-22-2-222-2000000000000000000000000000000−2i32i300000000000
χ564-4-44-44-24-4-4422-22-2-222-20000000000000000000000000000002i3−2i300000000000
χ574-4-44-44-2-444-422-22-22-2-220000000000000000000000000000−2i32i30000000000000
χ584-4-44-44-2-444-422-22-22-2-2200000000000000000000000000002i3−2i30000000000000
χ5988-8-800800008-8-80000000000000000000000000000000000000000000000000
χ6088-8-800-40000-444000000000000000023−23−232300000000000000000000000000000
χ6188-8-800-40000-4440000000000000000−232323−2300000000000000000000000000000
χ628-88-800-400004-44000000000000004-4-2-22200000000000000000000000000000
χ638-88-800-400004-4400000000000000-4422-2-200000000000000000000000000000

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