Finite Group Databasebeta

← Group #10773113

Character table — Group #10773113

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888888888888888888888888888881212121212121212484848484848
order1222344444466624441212121212122222444444446666666661212121212121212121212121212121212121288888888248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-111-1-111-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ6111111111111111111111111-1-111-1-111-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ91111111-1-111111-1-1-11-1-111111-11-11-11-111-1-1-111-1-111-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ101111111-1-111111-1-1-11-1-111111-11-11-11-111-1-1-111-1-111-1-11-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11-11
χ111111111-1-111111-1-1-11-1-111111-1-111-1-11-1-111-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-11
χ121111111-1-111111-1-1-11-1-111111-1-111-1-11-1-111-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1
χ131111111-1-111111-1-1-11-1-11111-111-1-111-1-1-111-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-111-1
χ141111111-1-111111-1-1-11-1-11111-111-1-111-1-1-111-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-11-1-11
χ151111111-1-111111-1-1-11-1-11111-11-11-11-1111-1-1-1-1-111-1-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-11-11
χ161111111-1-111111-1-1-11-1-11111-11-11-11-1111-1-1-1-1-111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-11-1
χ17222222-2222-2222-22-2-22222-2-2002200-2-20000-200002222-22-20000-2-2-2-20000000000000000000000
χ18222222-2222-2222-22-2-22222-2-200-2-200220000-20000-2-2-2-2-22-2000022220000000000000000000000
χ19222222-2-2-22-22222-22-2-2-222-2-2002-200-2200002000022-2-2-2-220000-2-2220000000000000000000000
χ20222222-2-2-22-22222-22-2-2-222-2-200-22002-2000020000-2-222-2-22000022-2-20000000000000000000000
χ2122222-2222-22222-2-22-222-2-2222200-2-2000000-222220000-2-22-2-2-2-200000000000000000000000000
χ2222222-2222-22222-2-22-222-2-222-2-20022000000-2-2-2-2-20000-2-22222200000000000000000000000000
χ2322222-22-2-2-2222222-2-2-2-2-2-2222-200-22000000222-2-20000-22-2-2-22200000000000000000000000000
χ2422222-22-2-2-2222222-2-2-2-2-2-222-22002-20000002-2-2220000-22-222-2-200000000000000000000000000
χ2522222-2-222-2-22222-2-2222-2-2-2-2000000002-22-22000000002-2-20000000022-2-222-2-200000000000000
χ2622222-2-222-2-22222-2-2222-2-2-2-200000000-22-222000000002-2-200000000-2-222-2-22200000000000000
χ2722222-2-2-2-2-2-2222-2222-2-2-2-2-2-2000000002-2-22-2000000002220000000022-2-2-2-22200000000000000
χ2822222-2-2-2-2-2-2222-2222-2-2-2-2-2-200000000-222-2-20000000022200000000-2-22222-2-200000000000000
χ292222-1222222-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-1222222-1-1-12222-1-1-1-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-11111-1-1-1-1-1-1-111111111111100000000000000
χ312222-1222222-1-1-12222-1-1-1-1-1-1-2-222-2-222-2-2-2-2-11111-1-1-1-1-1-1-11111-1-1-1-11111111100000000000000
χ322222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-111111111-1-1-111111111-1-1-1-1-1-1-1-100000000000000
χ332222-122-2-222-1-1-1-2-2-2211-1-1-1-12-22-22-22-222-2-21-1-111-1-111-111-1-111-1-111-1-1-1-1111100000000000000
χ342222-122-2-222-1-1-1-2-2-2211-1-1-1-12-2-222-2-22-2-2221-1-11111-1-1-111-1-11111-1-11111-1-1-1-100000000000000
χ352222-122-2-222-1-1-1-2-2-2211-1-1-1-1-222-2-222-2-2-222111-1-1-1-111-11111-1-1-1-1111111-1-1-1-100000000000000
χ362222-122-2-222-1-1-1-2-2-2211-1-1-1-1-22-22-22-2222-2-2111-1-111-1-1-11111-1-111-1-1-1-1-1-1111100000000000000
χ372222-12-2222-2-1-1-1-22-2-2-1-1-1-111002200-2-200001−i3i3−i3i3-1-1-1-11-11−i3i3−i3i31111−i3i3−i3i3−i3i3−i3i300000000000000
χ382222-12-2222-2-1-1-1-22-2-2-1-1-1-111002200-2-200001i3−i3i3−i3-1-1-1-11-11i3−i3i3−i31111i3−i3i3−i3i3−i3i3−i300000000000000
χ392222-12-2222-2-1-1-1-22-2-2-1-1-1-11100-2-2002200001−i3i3−i3i311111-11−i3i3−i3i3-1-1-1-1i3−i3i3−i3i3−i3i3−i300000000000000
χ402222-12-2222-2-1-1-1-22-2-2-1-1-1-11100-2-2002200001i3−i3i3−i311111-11i3−i3i3−i3-1-1-1-1−i3i3−i3i3−i3i3−i3i300000000000000
χ412222-12-2-2-22-2-1-1-12-22-211-1-111002-200-220000-1−i3i3i3−i3-1-11111-1−i3i3i3−i311-1-1−i3i3−i3i3i3−i3i3−i300000000000000
χ422222-12-2-2-22-2-1-1-12-22-211-1-111002-200-220000-1i3−i3−i3i3-1-11111-1i3−i3−i3i311-1-1i3−i3i3−i3−i3i3−i3i300000000000000
χ432222-12-2-2-22-2-1-1-12-22-211-1-11100-22002-20000-1−i3i3i3−i311-1-111-1−i3i3i3−i3-1-111i3−i3i3−i3−i3i3−i3i300000000000000
χ442222-12-2-2-22-2-1-1-12-22-211-1-11100-22002-20000-1i3−i3−i3i311-1-111-1i3−i3−i3i3-1-111−i3i3−i3i3i3−i3i3−i300000000000000
χ452222-1-2222-22-1-1-1-2-22-2-1-111-1-12200-2-20000001-1-1-1-1−i3i3−i3i311-11111−i3i3−i3i3−i3i3i3−i3−i3i3i3−i300000000000000
χ462222-1-2222-22-1-1-1-2-22-2-1-111-1-12200-2-20000001-1-1-1-1i3−i3i3−i311-11111i3−i3i3−i3i3−i3−i3i3i3−i3−i3i300000000000000
χ472222-1-2222-22-1-1-1-2-22-2-1-111-1-1-2-2002200000011111−i3i3−i3i311-1-1-1-1-1−i3i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000
χ482222-1-2222-22-1-1-1-2-22-2-1-111-1-1-2-2002200000011111i3−i3i3−i311-1-1-1-1-1i3−i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000
χ492222-1-22-2-2-22-1-1-122-2-21111-1-12-200-22000000-1-1-111−i3i3i3−i31-1111-1-1−i3i3i3−i3−i3i3i3−i3i3−i3−i3i300000000000000
χ502222-1-22-2-2-22-1-1-122-2-21111-1-12-200-22000000-1-1-111i3−i3−i3i31-1111-1-1i3−i3−i3i3i3−i3−i3i3−i3i3i3−i300000000000000
χ512222-1-22-2-2-22-1-1-122-2-21111-1-1-22002-2000000-111-1-1−i3i3i3−i31-11-1-111−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000000000
χ522222-1-22-2-2-22-1-1-122-2-21111-1-1-22002-2000000-111-1-1i3−i3−i3i31-11-1-111i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000000000
χ532222-1-2-222-2-2-1-1-12-2-22-1-11111000000002-22-2-1−i3i3−i3i3−i3i3−i3i3-111i3−i3i3−i3i3−i3i3−i3-1-111-1-11100000000000000
χ542222-1-2-222-2-2-1-1-12-2-22-1-11111000000002-22-2-1i3−i3i3−i3i3−i3i3−i3-111−i3i3−i3i3−i3i3−i3i3-1-111-1-11100000000000000
χ552222-1-2-222-2-2-1-1-12-2-22-1-1111100000000-22-22-1−i3i3−i3i3i3−i3i3−i3-111i3−i3i3−i3−i3i3−i3i311-1-111-1-100000000000000
χ562222-1-2-222-2-2-1-1-12-2-22-1-1111100000000-22-22-1i3−i3i3−i3−i3i3−i3i3-111−i3i3−i3i3i3−i3i3−i311-1-111-1-100000000000000
χ572222-1-2-2-2-2-2-2-1-1-1-2222111111000000002-2-221−i3i3i3−i3−i3i3i3−i3-1-1-1i3−i3−i3i3i3−i3−i3i3-1-11111-1-100000000000000
χ582222-1-2-2-2-2-2-2-1-1-1-2222111111000000002-2-221i3−i3−i3i3i3−i3−i3i3-1-1-1−i3i3i3−i3−i3i3i3−i3-1-11111-1-100000000000000
χ592222-1-2-2-2-2-2-2-1-1-1-222211111100000000-222-21−i3i3i3−i3i3−i3−i3i3-1-1-1i3−i3−i3i3−i3i3i3−i311-1-1-1-11100000000000000
χ602222-1-2-2-2-2-2-2-1-1-1-222211111100000000-222-21i3−i3−i3i3−i3i3i3−i3-1-1-1−i3i3i3−i3i3−i3−i3i311-1-1-1-11100000000000000
χ6144-4-4404000-4-44-4000000004-400000000000000000000000000000000000000000000−2i2−2i22i22i2000000
χ6244-4-4404000-4-44-4000000004-4000000000000000000000000000000000000000000002i22i2−2i2−2i2000000
χ6344-4-440-40004-44-400000000-4400000000000000000000000000000000000000002222−22−220000000000
χ6444-4-440-40004-44-400000000-440000000000000000000000000000000000000000−22−2222220000000000
χ654-44-444000-40-4-440000004-4000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ664-44-444000-40-4-440000004-40000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ674-44-44-400040-4-44000000-44000000000000000000000000000000000000000000000022−2222−22000000
χ684-44-44-400040-4-44000000-440000000000000000000000000000000000000000000000−2222−2222000000
χ694-4-444004-4004-4-400004-4000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000
χ704-4-444004-4004-4-400004-400000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000
χ714-4-44400-44004-4-40000-44000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000
χ724-4-44400-44004-4-40000-4400000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000
χ7388-8-8-408000-84-4400000000-44000000000000000000000000000000000000000000000000000000
χ7488-8-8-40-800084-44000000004-4000000000000000000000000000000000000000000000000000000
χ758-88-8-48000-8044-4000000-4400000000000000000000000000000000000000000000000000000000
χ768-88-8-4-80008044-40000004-400000000000000000000000000000000000000000000000000000000
χ778-8-88-4008-800-4440000-440000000000000000000000000000000000000000000000000000000000
χ788-8-88-400-8800-44400004-40000000000000000000000000000000000000000000000000000000000

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