Finite Group Databasebeta

← Group #10828694

Character table — Group #10828694

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444444444444444888888888888888888888888888888882424242424242424242424244848
order12222234444446662244444666612121212121212121212121212122224444444666666612121212121212121212121212121244444444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11-11-1-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1-1-11-11-1-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-111111-1-11-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1111111-1-1-1111111-1-11111-1-11111111111-1-1-11-1-1-11-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-1111111-1-11111-1-11111111111-1-1-11-1-1-11-11111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-1111111-1-11111-1-111111111-1-111-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11
χ1211111111-1-1111111-1-1-1111111-1-11111-1-111111111-1-111-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1
χ1311111111-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1111111-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-11111-1-111-1-1-11
χ172222222-222-2-2-2222-2-22000022-2-2-2-2-2-222000000002-2000002-20-222-2-20020000000022-2-20000000000000000
χ182222222-222-2-2-2222-2-22000022-2-2-2-2-2-22200000000-2200000-220-2-2-22200200000000-2-2220000000000000000
χ192222222-2-2-2-2-2-222222-200002222-2-2-2-2-2-2000000002-200000-220222-2-200-200000000-2-2220000000000000000
χ202222222-2-2-2-2-2-222222-200002222-2-2-2-2-2-200000000-22000002-202-2-22200-20000000022-2-20000000000000000
χ21222222-1222222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-2-2-2-1111111-1-1-11111-1-111111100000000000000
χ23222222-1222222-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-2-222-2-1-1-1-1-111-111111111-1-1-1-11100000000000000
χ24222222-1222222-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-2-222-22-2-2-22-11111-1-1-111-1-1-1-1111111-1-100000000000000
χ25222222-12-2-2222-1-1-1-2-2-22222-1-111-1-1-1-111-1-1-1-1-1-1-1-122-2-2-22-2-2-221-1-1-1-111111-1-111111111-1-100000000000000
χ26222222-12-2-2222-1-1-1-2-2-22222-1-111-1-1-1-111-1-1-1-1-1-1-1-1-2-222-2-2-222-211111-1-111111-1-111-1-1-1-11100000000000000
χ27222222-12-2-2222-1-1-1-2-2-2-2-2-2-2-1-111-1-1-1-1111111111122222-22-2-2-21-1-1-1-1-1-11-1-111-1-1-1-111111100000000000000
χ28222222-12-2-2222-1-1-1-2-2-2-2-2-2-2-1-111-1-1-1-11111111111-2-2-2-222222211111111-1-1-1-111-1-1-1-1-1-1-1-100000000000000
χ29222222-1-222-2-2-2-1-1-1-2-220000-1-1111111-1-1−i3−i3i3i3−i3−i3i3i32-2000002-201-1-111−i3i3-1−i3i3−i3i3−i3i3−i3i3-1-111−i3i300000000000000
χ30222222-1-222-2-2-2-1-1-1-2-220000-1-1111111-1-1−i3−i3i3i3−i3−i3i3i3-2200000-220111-1-1i3−i3-1−i3i3i3−i3i3−i3−i3i311-1-1i3−i300000000000000
χ31222222-1-222-2-2-2-1-1-1-2-220000-1-1111111-1-1i3i3−i3−i3i3i3−i3−i32-2000002-201-1-111i3−i3-1i3−i3i3−i3i3−i3i3−i3-1-111i3−i300000000000000
χ32222222-1-222-2-2-2-1-1-1-2-220000-1-1111111-1-1i3i3−i3−i3i3i3−i3−i3-2200000-220111-1-1−i3i3-1i3−i3−i3i3−i3i3i3−i311-1-1−i3i300000000000000
χ33222222-1-2-2-2-2-2-2-1-1-122-20000-1-1-1-1111111−i3−i3i3i3−i3−i3i3i32-200000-220-1-1-111i3−i31i3−i3−i3i3i3−i3i3−i311-1-1−i3i300000000000000
χ34222222-1-2-2-2-2-2-2-1-1-122-20000-1-1-1-1111111−i3−i3i3i3−i3−i3i3i3-22000002-20-111-1-1−i3i31i3−i3i3−i3−i3i3i3−i3-1-111i3−i300000000000000
χ35222222-1-2-2-2-2-2-2-1-1-122-20000-1-1-1-1111111i3i3−i3−i3i3i3−i3−i32-200000-220-1-1-111−i3i31−i3i3i3−i3−i3i3−i3i311-1-1i3−i300000000000000
χ36222222-1-2-2-2-2-2-2-1-1-122-20000-1-1-1-1111111i3i3−i3−i3i3i3−i3−i3-22000002-20-111-1-1i3−i31−i3i3−i3i3i3−i3−i3i3-1-111−i3i300000000000000
χ372222-2-22222-2-222222-2-222-2-2-2-2-2-222-2-2222222-2-2-2-20000-2020002000000-2-2-200002200000000000000000000
χ382222-2-22222-2-222222-2-2-2-222-2-2-2-222-2-222-2-2-2-22222000020-20002000000-2220000-2-200000000000000000000
χ392222-2-222-2-2-2-22222-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000020-2000-20000002220000-2-200000000000000000000
χ402222-2-222-2-2-2-22222-222-2-222-2-22222-2-2-2-2-2-2-2-222220000-202000-20000002-2-200002200000000000000000000
χ412222-2-22-22222-2222-22-20000-2-222-2-2222200000000002-20-20002-2000022-200-2-2-2-20000002200000000000000
χ422222-2-22-22222-2222-22-20000-2-222-2-222220000000000-2202000-2-20000-2-2-2002222000000-2-200000000000000
χ432222-2-22-2-2-222-22222-220000-2-2-2-2-2-222-2-200000000002-202000-2200002220022-2-2000000-2-200000000000000
χ442222-2-22-2-2-222-22222-220000-2-2-2-2-2-222-2-20000000000-220-2000220000-2-2200-2-2220000002200000000000000
χ452222-2-2-1222-2-22-1-1-12-2-222-2-21111-1-111-1-1-1-1-1-111110000-202000-1−i3i3−i3i3−i3i3111i3−i3i3−i3-1-1−i3i3−i3i3−i3i300000000000000
χ462222-2-2-1222-2-22-1-1-12-2-222-2-21111-1-111-1-1-1-1-1-111110000-202000-1i3−i3i3−i3i3−i3111−i3i3−i3i3-1-1i3−i3i3−i3i3−i300000000000000
χ472222-2-2-1222-2-22-1-1-12-2-2-2-2221111-1-111-1-11111-1-1-1-1000020-2000-1−i3i3−i3i3i3−i31-1-1−i3i3−i3i311−i3i3−i3i3i3−i300000000000000
χ482222-2-2-1222-2-22-1-1-12-2-2-2-2221111-1-111-1-11111-1-1-1-1000020-2000-1i3−i3i3−i3−i3i31-1-1i3−i3i3−i311i3−i3i3−i3−i3i300000000000000
χ492222-2-2-12-2-2-2-22-1-1-1-22222-2-211-1-1-1-11111-1-1-1-11111000020-20001−i3i3−i3i3i3−i3-1-1-1i3−i3−i3i311i3−i3i3−i3−i3i300000000000000
χ502222-2-2-12-2-2-2-22-1-1-1-22222-2-211-1-1-1-11111-1-1-1-11111000020-20001i3−i3i3−i3−i3i3-1-1-1−i3i3i3−i311−i3i3−i3i3i3−i300000000000000
χ512222-2-2-12-2-2-2-22-1-1-1-222-2-22211-1-1-1-111111111-1-1-1-10000-2020001−i3i3−i3i3−i3i3-111−i3i3i3−i3-1-1i3−i3i3−i3i3−i300000000000000
χ522222-2-2-12-2-2-2-22-1-1-1-222-2-22211-1-1-1-111111111-1-1-1-10000-2020001i3−i3i3−i3i3−i3-111i3−i3−i3i3-1-1−i3i3−i3i3−i3i300000000000000
χ532222-2-2-1-22222-2-1-1-1-22-2000011-1-111-1-1-1-1−i3−i3i3i3i3i3−i3−i3002-20-200021−i3i3i3−i3-1-11i3−i31111−i3i3−i3i3i3−i3-1-100000000000000
χ542222-2-2-1-22222-2-1-1-1-22-2000011-1-111-1-1-1-1−i3−i3i3i3i3i3−i3−i300-2202000-21i3−i3−i3i3111i3−i3-1-1-1-1−i3i3i3−i3−i3i31100000000000000
χ552222-2-2-1-22222-2-1-1-1-22-2000011-1-111-1-1-1-1i3i3−i3−i3−i3−i3i3i3002-20-200021i3−i3−i3i3-1-11−i3i31111i3−i3i3−i3−i3i3-1-100000000000000
χ562222-2-2-1-22222-2-1-1-1-22-2000011-1-111-1-1-1-1i3i3−i3−i3−i3−i3i3i300-2202000-21−i3i3i3−i3111−i3i3-1-1-1-1i3−i3−i3i3i3−i31100000000000000
χ572222-2-2-1-2-2-222-2-1-1-12-220000111111-1-111−i3−i3i3i3i3i3−i3−i3002-202000-2-1i3−i3−i3i3-1-1-1−i3i3-1-111i3−i3−i3i3i3−i31100000000000000
χ582222-2-2-1-2-2-222-2-1-1-12-220000111111-1-111−i3−i3i3i3i3i3−i3−i300-220-20002-1−i3i3i3−i311-1−i3i311-1-1i3−i3i3−i3−i3i3-1-100000000000000
χ592222-2-2-1-2-2-222-2-1-1-12-220000111111-1-111i3i3−i3−i3−i3−i3i3i3002-202000-2-1−i3i3i3−i3-1-1-1i3−i3-1-111−i3i3i3−i3−i3i31100000000000000
χ602222-2-2-1-2-2-222-2-1-1-12-220000111111-1-111i3i3−i3−i3−i3−i3i3i300-220-20002-1i3−i3−i3i311-1i3−i311-1-1−i3i3−i3i3i3−i3-1-100000000000000
χ6122-2-22-22-2002-222-2-20002i−2i2i−2i2-2002-22-2002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000002i−2i0000002-200
χ6222-2-22-22-2002-222-2-20002i−2i2i−2i2-2002-22-2002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000−2i2i000000-2200
χ6322-2-22-22-2002-222-2-2000−2i2i−2i2i2-2002-22-200−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000002i−2i000000-2200
χ6422-2-22-22-2002-222-2-2000−2i2i−2i2i2-2002-22-200−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000−2i2i0000002-200
χ6522-2-2-222-200-2222-2-20002i−2i−2i2i-22002-2-22002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000002i−2i0000002-20000
χ6622-2-2-222-200-2222-2-20002i−2i−2i2i-22002-2-22002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000−2i2i000000-220000
χ6722-2-2-222-200-2222-2-2000−2i2i2i−2i-22002-2-2200−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000002i−2i000000-220000
χ6822-2-2-222-200-2222-2-2000−2i2i2i−2i-22002-2-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000−2i2i0000002-20000
χ6944-4-44-44400-44-44-4-400000004-400-44-4400000000000000000000000000000000000000000000000000000000
χ7044-4-44-4-2400-44-4-2220000000-22002-22-20023−23−232323−23−23230000000000000000000000000000000000000000000000
χ7144-4-44-4-2400-44-4-2220000000-22002-22-200−232323−23−232323−230000000000000000000000000000000000000000000000
χ7244-4-44-4-2-4004-44-2220004i−4i4i−4i-2200-22-2200−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ7344-4-44-4-2-4004-44-222000−4i4i−4i4i-2200-22-22002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ7444-4-4-4444004-4-44-4-40000000-4400-444-400000000000000000000000000000000000000000000000000000000
χ7544-4-4-44-24004-4-4-22200000002-2002-2-220023−23−2323−232323−230000000000000000000000000000000000000000000000
χ7644-4-4-44-24004-4-4-22200000002-2002-2-2200−232323−2323−23−23230000000000000000000000000000000000000000000000
χ7744-4-4-44-2-400-444-2220004i−4i−4i4i2-200-222-200−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ7844-4-4-44-2-400-444-222000−4i4i4i−4i2-200-222-2002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ794-44-400404i−4i000-44-40000000000000004i−4i000000000000000000000000000000000000000000002-22i−2i000000
χ804-44-400404i−4i000-44-40000000000000004i−4i00000000000000000000000000000000000000000000-22−2i2i000000
χ814-44-40040−4i4i000-44-4000000000000000−4i4i000000000000000000000000000000000000000000002-2−2i2i000000
χ824-44-40040−4i4i000-44-4000000000000000−4i4i00000000000000000000000000000000000000000000-222i−2i000000
χ838-88-800-408i−8i0004-44000000000000000−4i4i000000000000000000000000000000000000000000000000000000
χ848-88-800-40−8i8i0004-440000000000000004i−4i000000000000000000000000000000000000000000000000000000
χ858-8-88008000000-8-8800000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-8800-400000044-4000000000−4i34i3000000000000000000000000000000000000000000000000000000000000
χ878-8-8800-400000044-40000000004i3−4i3000000000000000000000000000000000000000000000000000000000000

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