Finite Group Databasebeta

← Group #10697370

Character table — Group #10697370

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222444444444444488881616161616161616161616161616161616164848484848484848
order12223666244444412121212121261212122244666688121212122424242444448888
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ61111111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ92222222222-2-2-22-2-2-2-2-2-2-2222-20000000000000000000000002-2
χ102222222222-2-2-22-2-2-2-2-2-2-2222-2000000000000000000000000-22
χ11222222222-22-22-2-222-2-2222-2-2-2000000002-2000022-2-200000000
χ12222222222-22-22-2-222-2-2222-2-2-200000000-220000-2-22200000000
χ13222222222-2-22-2-22-2-222-2-22-2-2200000000000000000000002-200
χ14222222222-2-22-2-22-2-222-2-22-2-220000000000000000000000-2200
χ1522222222-2222-2-2-22222-2-2-22-2-2000000000000000000002i−2i0000
χ1622222222-2222-2-2-22222-2-2-22-2-200000000000000000000−2i2i0000
χ1722222222-22-2-22-22-2-2-2-222-22-2220-20220000-2-200000000000000
χ1822222222-22-2-22-22-2-2-2-222-22-22-2020-2-200002200000000000000
χ1922222222-2-22-2-22222-2-2-2-2-2-2220000000000000000002-2000000
χ2022222222-2-22-2-22222-2-2-2-2-2-222000000000000000000-22000000
χ2122222222-2-2-2222-2-2-22222-2-22-2020-200220000-2-2000000000000
χ2222222222-2-2-2222-2-2-22222-2-22-20-20200-2-2000022000000000000
χ232222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-100000000
χ242222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-12-22-2-1-111-2-2-1-111111100000000
χ252222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-22-2211-1-1-2-211-1-1111100000000
χ262222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111221111-1-1-1-100000000
χ272222-1-1-1-12-22-22-2-2-1-111-1-1-11110000−i3i3−i3i32-2−i3i3−i3i3-1-11100000000
χ282222-1-1-1-12-22-22-2-2-1-111-1-1-11110000−i3i3i3−i3-22−i3i3i3−i311-1-100000000
χ292222-1-1-1-12-22-22-2-2-1-111-1-1-11110000i3−i3−i3i3-22i3−i3−i3i311-1-100000000
χ302222-1-1-1-12-22-22-2-2-1-111-1-1-11110000i3−i3i3−i32-2i3−i3i3−i3-1-11100000000
χ312222-1-1-1-1-22-2-22-221111-1-11-11-120-20-1-1−i3i30011i3−i3−i3i3−i3i300000000
χ322222-1-1-1-1-22-2-22-221111-1-11-11-120-20-1-1i3−i30011−i3i3i3−i3i3−i300000000
χ332222-1-1-1-1-22-2-22-221111-1-11-11-1-202011−i3i300-1-1i3−i3i3−i3i3−i300000000
χ342222-1-1-1-1-22-2-22-221111-1-11-11-1-202011i3−i300-1-1−i3i3−i3i3−i3i300000000
χ352222-1-1-1-1-2-2-2222-211-1-1-1-111-11020-2−i3i3-1-100i3−i311−i3i3i3−i300000000
χ362222-1-1-1-1-2-2-2222-211-1-1-1-111-11020-2i3−i3-1-100−i3i311i3−i3−i3i300000000
χ372222-1-1-1-1-2-2-2222-211-1-1-1-111-110-202−i3i31100i3−i3-1-1i3−i3−i3i300000000
χ382222-1-1-1-1-2-2-2222-211-1-1-1-111-110-202i3−i31100−i3i3-1-1−i3i3i3−i300000000
χ394444-2-2-2-244-4-4-44-4222222-2-2-2200000000000000000000000000
χ404444-2-2-2-24-4-44-4-4422-2-222-222-200000000000000000000000000
χ414444-2-2-2-2-4444-4-4-4-2-2-2-2222-22200000000000000000000000000
χ424444-2-2-2-2-4-44-4-444-2-2222222-2-200000000000000000000000000
χ4388-8-888-8-80000000000000000000000000000000000000000000
χ4488-8-8-4-444000000043−430000000000000000000000000000000000
χ4588-8-8-4-4440000000−43430000000000000000000000000000000000
χ468-88-88-88-80000000000000000000000000000000000000000000
χ478-88-8-44-4400000000000−4i34i3000000000000000000000000000000
χ488-88-8-44-44000000000004i3−4i3000000000000000000000000000000
χ498-8-888-8-880000000000000000000000000000000000000000000
χ508-8-88-444-4000000000−4i34i300000000000000000000000000000000
χ518-8-88-444-40000000004i3−4i300000000000000000000000000000000

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