Finite Group Databasebeta

← Group #10900887

Character table — Group #10900887

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222244444444888888888888888816161616161616161616161624242424242424242424242424242424
order1222222234444666666622441212121244446612121212121212121212444412121212121212122244444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111111-1-1-1-111111-11-1-1-111-1-1-1-111-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-111111-11-1-1-111-1-1-1-111-1-11-11-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111111-1-1-1-111111-11-1-1-111-1-1-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-111111-11-1-1-111-1-1-1-111-1-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-11111-11-11-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-11111-11-11-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-11111-11-11-1-1-1-111-1-1-1-111-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-11111-11-11-1-1-1-111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222-2-2-2-2222222222-2-2-2-2-2-22-2-222222-2-2-2-2-2-2220000000000000000000000000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-2-222-222-2-222-2-222-2-20000000000000000000000000000
χ19222222222-2-2-2-22222222-2-222-2-2-2-222-2-2-2-2222222-2-2-2-20000000000000000000000000000
χ20222222222-2-2-2-22222222-2-222-2-2-2-2-2-222-2-2-2-2-2-22222220000000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-11111-1-1111122-2-2-1-1-1-111110000000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-11111-1-11111-2-2221111-1-1-1-10000000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-12-22-211-1-11111-1-1112-22-2-1-111-1-1110000000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-12-22-211-1-11111-1-111-22-2211-1-111-1-10000000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-22-221111-1-11111-1-12-2-22-1-11111-1-10000000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-22-221111-1-11111-1-1-222-211-1-1-1-1110000000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-122-2-211112-2-22-1-1-1-1111111-1-10000−i3i3−i3i3−i3i3−i3i30000000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-211112-2-22-1-1-1-1111111-1-10000i3−i3i3−i3i3−i3i3−i30000000000000000
χ3122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-222-2-1-111-1-111-1-1110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ3222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-222-2-1-111-1-111-1-1110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ3322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222111122-2-211-1-1-1-1-1-111110000−i3i3i3−i3−i3i3i3−i30000000000000000
χ3422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222111122-2-211-1-1-1-1-1-111110000i3−i3−i3i3i3−i3−i3i30000000000000000
χ3522222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2221111-2-222111111-1-1-1-1-1-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ3622222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2221111-2-222111111-1-1-1-1-1-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ372-2-22-2-222222-2-2-2-22-2-2222-22-222-2-200002-200002-2000000000000000000002-22-200000000
χ382-2-22-2-222222-2-2-2-22-2-2222-22-222-2-200002-200002-200000000000000000000-22-2200000000
χ392-2-22-2-222222-2-2-2-22-2-222-22-2222-2-20000-220000-22000000000000000000002-2-2200000000
χ402-2-22-2-222222-2-2-2-22-2-222-22-2222-2-20000-220000-2200000000000000000000-222-200000000
χ412-2-22-2-2222-2-222-2-22-2-2222-2-22-2-22200002-20000-2200000000000000002-22-2000000000000
χ422-2-22-2-2222-2-222-2-22-2-2222-2-22-2-22200002-20000-220000000000000000-22-22000000000000
χ432-2-22-2-2222-2-222-2-22-2-222-222-2-2-2220000-2200002-200000000000000002-2-22000000000000
χ442-2-22-2-2222-2-222-2-22-2-222-222-2-2-2220000-2200002-20000000000000000-222-2000000000000
χ45444-4-4-44-44000044-4-4-44-400000000000000000000000000000000000000000000000022−2200
χ46444-4-4-44-44000044-4-4-44-4000000000000000000000000000000000000000000000000−222200
χ4744-444-4-4-4400004-444-4-4-40000000000000000000000000000000000000000000022−22000000
χ4844-444-4-4-4400004-444-4-4-400000000000000000000000000000000000000000000−2222000000
χ4944-4-4-44-4444-44-44-4-4-44-4400004-44-400000000000000000000000000000000000000000000
χ5044-4-4-44-444-44-444-4-4-44-440000-44-4400000000000000000000000000000000000000000000
χ5144-4-4-44-44-24-44-4-2222-22-20000-22-220000000023−23000023−230000000000000000000000000000
χ5244-4-4-44-44-24-44-4-2222-22-20000-22-2200000000−23230000−23230000000000000000000000000000
χ5344-4-4-44-44-2-44-44-2222-22-200002-22-20000000023−230000−23230000000000000000000000000000
χ5444-4-4-44-44-2-44-44-2222-22-200002-22-200000000−2323000023−230000000000000000000000000000
χ554-444-44-4-440000-444-44-4-4000000000000000000000000000000000000000000000022−220000
χ564-444-44-4-440000-444-44-4-40000000000000000000000000000000000000000000000−22220000
χ574-44-44-4-4444-4-44-44-44-4-4400004-4-4400000000000000000000000000000000000000000000
χ584-44-44-4-444-444-4-44-44-4-440000-444-400000000000000000000000000000000000000000000
χ594-44-44-4-44-24-4-442-22-222-20000-222-200000023−23000023−23000000000000000000000000000000
χ604-44-44-4-44-24-4-442-22-222-20000-222-2000000−23230000−2323000000000000000000000000000000
χ614-44-44-4-44-2-444-42-22-222-200002-2-2200000023−230000−2323000000000000000000000000000000
χ624-44-44-4-44-2-444-42-22-222-200002-2-22000000−2323000023−23000000000000000000000000000000
χ634-4-44-4-444-244-4-422-222-2-24-44-4-2-2220000-220000-2200000000000000000000000000000000
χ644-4-44-4-444-244-4-422-222-2-2-44-44-2-22200002-200002-200000000000000000000000000000000
χ654-4-44-4-444-2-4-44422-222-2-24-4-4422-2-20000-2200002-200000000000000000000000000000000
χ664-4-44-4-444-2-4-44422-222-2-2-444-422-2-200002-20000-2200000000000000000000000000000000
χ674-4-4-4444-440000-4-4-4444-400000000000000000000000000000000000000000000000000−2i22i2
χ684-4-4-4444-440000-4-4-4444-4000000000000000000000000000000000000000000000000002i2−2i2
χ69888-8-8-88-8-40000-4-4444-440000000000000000000000000000000000000000000000000000
χ7088-888-8-8-8-40000-44-4-44440000000000000000000000000000000000000000000000000000
χ718-888-88-8-8-400004-4-44-4440000000000000000000000000000000000000000000000000000
χ728-8-8-8888-8-40000444-4-4-440000000000000000000000000000000000000000000000000000

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