Finite Group Databasebeta

← Group #10850475

Character table — Group #10850475

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222222244444444444444488888888888888888888888816161616161624242424242424242424242424242424
order122222222234466666662244444666612121212444444661212121212121212121212121212121244121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-111111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1
χ911111111111-1-1111111111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11-111-1-11-11-11-11-111-1-111-1-1
χ1011111111111-1-1111111111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-11-11-11-11-1-111-1-111
χ1111111111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-11-11-11-1-1-111-1-111
χ1211111111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-111-11-11-11-1111-1-111-1-1
χ1311111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-1111-1-111-1-1111-1-1-1-111
χ1411111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-111-111-1-111-1-1-11111-1-1
χ1511111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111-111-1-11-1-111-1-11-1-11111-1-1
χ1611111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111-111-1-1-111-1-111-111-1-1-1-111
χ172222222222-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ182222222222-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-2-211110000000000000000
χ192222222222-122-1-1-1-1-1-1-1-2-2222-2-2-1-1-1-1-1-1-1-1-2-222221111-1-11111-1-1-1-1-1-1-1-1-2-211110000000000000000
χ202222222222-122-1-1-1-1-1-1-1-2-2222-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-111111111111122-1-1-1-10000000000000000
χ212222222222-1-2-2-1-1-1-1-1-1-122-2-2-222-1-1-1-11111-2-222-2-2-1-1111111-1-1-1-1-1-111112-2-1-1110000000000000000
χ222222222222-1-2-2-1-1-1-1-1-1-122-2-2-222-1-1-1-11111-2-2-2-222-1-1111111-1-11111-1-1-1-1-2211-1-10000000000000000
χ232222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-1-1-1-111112222-2-211-1-111-1-111-1-1-1-11111-2211-1-10000000000000000
χ242222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-1-1-1-1111122-2-22211-1-111-1-1111111-1-1-1-12-2-1-1110000000000000000
χ25222222-2-2-2-22222222222222-2-2-2-2-2-2-2-22222-22000022-2-2-2-222-2-2000000000000000000000000000000
χ26222222-2-2-2-22222222222-2-22-2-222-2-2-2-222222-20000-2-222-2-2-2-222000000000000000000000000000000
χ27222222-2-2-2-22-2-2222222222-222-2-2-2-2-2-2-2-2-2-22-20000222222-2-2-2-2000000000000000000000000000000
χ28222222-2-2-2-22-2-22222222-2-2-22222-2-2-2-2-2-2-2-2-220000-2-2-2-2222222000000000000000000000000000000
χ29222222-2-2-2-2-122-1-1-1-1-1-1-1222-2-2-2-21111-1-1-1-1-220000-1-11111-1-111−i3−i3i3i3−i3−i3i3i300−i3i3−i3i30000000000000000
χ30222222-2-2-2-2-122-1-1-1-1-1-1-1222-2-2-2-21111-1-1-1-1-220000-1-11111-1-111i3i3−i3−i3i3i3−i3−i300i3−i3i3−i30000000000000000
χ31222222-2-2-2-2-122-1-1-1-1-1-1-1-2-22-2-2221111-1-1-1-12-2000011-1-11111-1-1−i3−i3i3i3−i3−i3i3i300i3−i3i3−i30000000000000000
χ32222222-2-2-2-2-122-1-1-1-1-1-1-1-2-22-2-2221111-1-1-1-12-2000011-1-11111-1-1i3i3−i3−i3i3i3−i3−i300−i3i3−i3i30000000000000000
χ33222222-2-2-2-2-1-2-2-1-1-1-1-1-1-122-222-2-2111111112-20000-1-1-1-1-1-11111−i3−i3i3i3i3i3−i3−i300−i3i3i3−i30000000000000000
χ34222222-2-2-2-2-1-2-2-1-1-1-1-1-1-122-222-2-2111111112-20000-1-1-1-1-1-11111i3i3−i3−i3−i3−i3i3i300i3−i3−i3i30000000000000000
χ35222222-2-2-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2222211111111-2200001111-1-1-1-1-1-1−i3−i3i3i3i3i3−i3−i300i3−i3−i3i30000000000000000
χ36222222-2-2-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2222211111111-2200001111-1-1-1-1-1-1i3i3−i3−i3−i3−i3i3i300−i3i3i3−i30000000000000000
χ372222-2-222-2-2222-2-22-2-22200-22-20022-2-222-2-200000000002-2000000000000000000002200-2-200000000
χ382222-2-222-2-2222-2-22-2-22200-22-20022-2-222-2-200000000002-200000000000000000000-2-2002200000000
χ392222-2-222-2-22-2-2-2-22-2-222002-220022-2-2-2-2220000000000-22000000000000000000002-200-2200000000
χ402222-2-222-2-22-2-2-2-22-2-222002-220022-2-2-2-2220000000000-2200000000000000000000-22002-200000000
χ412222-2-2-2-222222-2-22-2-22200-2-2200-2-22222-2-20000000000-220000000000000000002200-2-20000000000
χ422222-2-2-2-222222-2-22-2-22200-2-2200-2-22222-2-20000000000-22000000000000000000-2-200220000000000
χ432222-2-2-2-2222-2-2-2-22-2-2220022-200-2-222-2-22200000000002-20000000000000000002-200-220000000000
χ442222-2-2-2-2222-2-2-2-22-2-2220022-200-2-222-2-22200000000002-2000000000000000000-22002-20000000000
χ452-2-22-222-22-2200-2-2-222-222-20002-22-22-200000000002-20000002-20000000000000000000000002-2002-2
χ462-2-22-222-22-2200-2-2-222-222-20002-22-22-200000000002-20000002-2000000000000000000000000-2200-22
χ472-2-22-222-22-2200-2-2-222-22-22000-222-22-20000000000-22000000-220000000000000000000000002-200-22
χ482-2-22-222-22-2200-2-2-222-22-22000-222-22-20000000000-22000000-22000000000000000000000000-22002-2
χ492-2-22-22-22-22200-2-2-222-222-2000-22-22-2200000000002-2000000-2200000000000000000000002-2002-200
χ502-2-22-22-22-22200-2-2-222-222-2000-22-22-2200000000002-2000000-220000000000000000000000-2200-2200
χ512-2-22-22-22-22200-2-2-222-22-220002-2-22-220000000000-220000002-200000000000000000000002-200-2200
χ522-2-22-22-22-22200-2-2-222-22-220002-2-22-220000000000-220000002-20000000000000000000000-22002-200
χ534444-4-444-4-4-24422-222-2-200-44-400-2-222-2-2220000000000-220000000000000000000000000000000000
χ544444-4-444-4-4-2-4-422-222-2-2004-4400-2-22222-2-200000000002-20000000000000000000000000000000000
χ554444-4-4-4-444-24422-222-2-200-4-440022-2-2-2-22200000000002-20000000000000000000000000000000000
χ564444-4-4-4-444-2-4-422-222-2-20044-40022-2-222-2-20000000000-220000000000000000000000000000000000
χ574-44-400000044-400-4004-4000000000004-400002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ584-44-400000044-400-4004-4000000000004-40000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ594-44-40000004-4400-4004-400000000000-4400002i−2i−2i2i00000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ604-44-40000004-4400-4004-400000000000-440000−2i2i2i−2i0000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ614-44-4000000-24-4−2i32i32−2i32i3-2200000000000-22−2i32i3002i−2i2i−2i00000000002ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ624-44-4000000-24-4−2i32i32−2i32i3-2200000000000-22−2i32i300−2i2i−2i2i0000000000−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ634-44-4000000-24-42i3−2i322i3−2i3-2200000000000-222i3−2i3002i−2i2i−2i00000000002ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ644-44-4000000-24-42i3−2i322i3−2i3-2200000000000-222i3−2i300−2i2i−2i2i0000000000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ654-44-4000000-2-44−2i32i32−2i32i3-22000000000002-22i3−2i3002i−2i−2i2i00000000002ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ664-44-4000000-2-44−2i32i32−2i32i3-22000000000002-22i3−2i300−2i2i2i−2i0000000000−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ674-44-4000000-2-442i3−2i322i3−2i3-22000000000002-2−2i32i3002i−2i−2i2i00000000002ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ684-44-4000000-2-442i3−2i322i3−2i3-22000000000002-2−2i32i300−2i2i2i−2i0000000000−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ694-4-444-44-4-4440044-4-4-4-4400000004-4-4400000000000000000000000000000000000000000000000000
χ704-4-444-44-4-44-200-2-22222-20000000-222-200000000000023−230023−2300000000000000000000000000000000
χ714-4-444-44-4-44-200-2-22222-20000000-222-2000000000000−232300−232300000000000000000000000000000000
χ724-4-444-4-444-440044-4-4-4-440000000-444-400000000000000000000000000000000000000000000000000
χ734-4-444-4-444-4-200-2-22222-200000002-2-2200000000000023−2300−232300000000000000000000000000000000
χ744-4-444-4-444-4-200-2-22222-200000002-2-22000000000000−23230023−2300000000000000000000000000000000
χ754-4-44-444-44-4-200222-2-22-24-40004-4-22-220000000000-22000000-22000000000000000000000000000000
χ764-4-44-444-44-4-200222-2-22-2-44000-44-22-2200000000002-20000002-2000000000000000000000000000000
χ774-4-44-44-44-44-200222-2-22-24-4000-442-22-20000000000-220000002-2000000000000000000000000000000
χ784-4-44-44-44-44-200222-2-22-2-440004-42-22-200000000002-2000000-22000000000000000000000000000000
χ7988-8-800000080000800-8-80000000000000000000000000000000000000000000000000000000000000
χ8088-8-8000000-400−4i34i3-44i3−4i3440000000000000000000000000000000000000000000000000000000000000
χ8188-8-8000000-4004i3−4i3-4−4i34i3440000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.