Finite Group Databasebeta

← Group #10697384

Character table — Group #10697384

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222444444444444488881616161616161616161616161616161616164848484848484848
order12223666244444466121212121212121244448812121212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1
χ4111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111
χ51111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-111
χ61111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1
χ71111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ92222222222-2-22-2-222-2-222-22-2-200002-20000000022-2-200000000
χ102222222222-2-22-2-222-2-222-22-2-20000-2200000000-2-22200000000
χ11222222222-22-2-22-222-2-2-2-2-2-2220000000000000000000000002-2
χ12222222222-22-2-22-222-2-2-2-2-2-222000000000000000000000000-22
χ13222222222-2-22-2-222222-2-22-2-2-200000000000000000000002-200
χ14222222222-2-22-2-222222-2-22-2-2-20000000000000000000000-2200
χ1522222222-2222-2-2-2-2-222-2-2-222-2002i−2i0000002i2i−2i−2i000000000000
χ1622222222-2222-2-2-2-2-222-2-2-222-200−2i2i000000−2i−2i2i2i000000000000
χ1722222222-22-2-2-222-2-2-2-2-2-222-222-2000022-2-20000000000000000
χ1822222222-22-2-2-222-2-2-2-2-2-222-22-220000-2-2220000000000000000
χ1922222222-2-22-22-22-2-2-2-2222-22-200000000000000000020-200000
χ2022222222-2-22-22-22-2-2-2-2222-22-2000000000000000000-20200000
χ2122222222-2-2-2222-2-2-22222-2-2-22000000000000000000020-20000
χ2222222222-2-2-2222-2-2-22222-2-2-220000000000000000000-2020000
χ232222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ242222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ252222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ262222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ272222-1-1-1-122-2-22-2-2-1-111-1-11-11100002-2−i3i3−i3i3−i3i3−i3i3-1-11100000000
χ282222-1-1-1-122-2-22-2-2-1-111-1-11-11100002-2i3−i3i3−i3i3−i3i3−i3-1-11100000000
χ292222-1-1-1-122-2-22-2-2-1-111-1-11-1110000-22−i3i3−i3i3i3−i3i3−i311-1-100000000
χ302222-1-1-1-122-2-22-2-2-1-111-1-11-1110000-22i3−i3i3−i3−i3i3−i3i311-1-100000000
χ312222-1-1-1-1-2222-2-2-211-1-1111-1-11002i−2i00−i3i3i3−i3−i−iii3−33−300000000
χ322222-1-1-1-1-2222-2-2-211-1-1111-1-11002i−2i00i3−i3−i3i3−i−iii−33−3300000000
χ332222-1-1-1-1-2222-2-2-211-1-1111-1-1100−2i2i00−i3i3i3−i3ii−i−i−33−3300000000
χ342222-1-1-1-1-2222-2-2-211-1-1111-1-1100−2i2i00i3−i3−i3i3ii−i−i3−33−300000000
χ352222-1-1-1-1-22-2-2-222111111-1-11-12-20000-1-1113−3−333−3−3300000000
χ362222-1-1-1-1-22-2-2-222111111-1-11-12-20000-1-111−333−3−333−300000000
χ372222-1-1-1-1-22-2-2-222111111-1-11-1-22000011-1-13−3−33−333−300000000
χ382222-1-1-1-1-22-2-2-222111111-1-11-1-22000011-1-1−333−33−3−3300000000
χ394444-2-2-2-24-44-4-44-4-2-2222222-2-200000000000000000000000000
χ404444-2-2-2-24-4-44-4-44-2-2-2-222-222200000000000000000000000000
χ414444-2-2-2-2-4-44-44-442222-2-2-22-2200000000000000000000000000
χ424444-2-2-2-2-4-4-4444-422-2-2-2-2222-200000000000000000000000000
χ4388-8-88-88-80000000000000000000000000000000000000000000
χ4488-8-8-44-4400000000043−4300000000000000000000000000000000
χ4588-8-8-44-44000000000−434300000000000000000000000000000000
χ468-88-88-8-880000000000000000000000000000000000000000000
χ478-88-8-444-40000000000043−43000000000000000000000000000000
χ488-88-8-444-400000000000−4343000000000000000000000000000000
χ498-8-8888-8-80000000000000000000000000000000000000000000
χ508-8-88-4-4440000000−4i34i30000000000000000000000000000000000
χ518-8-88-4-44400000004i3−4i30000000000000000000000000000000000

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