Finite Group Databasebeta

← Group #11795097

Character table — Group #11795097

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244888888888888888899991818363636363636363636367272727272727272
order122244883666121212122424242424242424222244444488888844444444
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1
χ6111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111
χ7111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ8111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ9222222222222222222222222-2-2-2-2-2-20000-2-2000000000000
χ10222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022000000000000
χ112222-2-2002222-2-2-2-2000000002222-2-222-2-200000000000000
χ122222-2-2002222-2-2-2-2000000002222-2-2-2-22200000000000000
χ132222-2-2002222-2-2-2-200000000-2-2-2-22200000022-2-200000000
χ142222-2-2002222-2-2-2-200000000-2-2-2-222000000-2-22200000000
χ1522-2-2002−222-2-200002222−2−2−2−222-2-2002-2002−22−22−200000000
χ1622-2-2002−222-2-200002222−2−2−2−222-2-200-22002−2−22−2200000000
χ1722-2-2002−222-2-200002222−2−2−2−2-2-22200002-2−222−2−2200000000
χ1822-2-2002−222-2-200002222−2−2−2−2-2-2220000-22−22−222−200000000
χ1922-2-200−2222-2-20000−2−2−2−2222222-2-2002-200−22−22−2200000000
χ2022-2-200−2222-2-20000−2−2−2−2222222-2-200-2200−222−22−200000000
χ2122-2-200−2222-2-20000−2−2−2−22222-2-22200002-22−2−222−200000000
χ2222-2-200−2222-2-20000−2−2−2−22222-2-2220000-222−22−2−2200000000
χ232-2-222-2002-2-2222-2-2000000002-2-222-200000000002i−2i000000
χ242-2-222-2002-2-2222-2-2000000002-2-222-20000000000−2i2i000000
χ252-2-222-2002-2-2222-2-200000000-222-2-220000000000002i−2i0000
χ262-2-222-2002-2-2222-2-200000000-222-2-22000000000000−2i2i0000
χ272-2-22-22002-2-22-2-222000000002-2-22-22000000000000002-200
χ282-2-22-22002-2-22-2-222000000002-2-22-2200000000000000-2200
χ292-2-22-22002-2-22-2-22200000000-222-22-200000000000000002i−2i
χ302-2-22-22002-2-22-2-22200000000-222-22-20000000000000000−2i2i
χ314-44-400004-44-40000000000004-44-400000000000000000000
χ324-44-400004-44-4000000000000-44-4400000000000000000000
χ3388888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34888888-8-8-1-1-1-1-1-1-1-111111111000000000000000000000000
χ358888-8-800-1-1-1-111113i3i−3i−3i3i3i−3i−3i000000000000000000000000
χ368888-8-800-1-1-1-11111−3i−3i3i3i−3i−3i3i3i000000000000000000000000
χ3788-8-80042−42-1-1113i−3i3i−3iζ+2ζ3ζ+2ζ3−2ζ−ζ3−2ζ−ζ3−ζ−2ζ3−ζ−2ζ32ζ+ζ32ζ+ζ3000000000000000000000000
χ3888-8-80042−42-1-111−3i3i−3i3i−2ζ−ζ3−2ζ−ζ3ζ+2ζ3ζ+2ζ32ζ+ζ32ζ+ζ3−ζ−2ζ3−ζ−2ζ3000000000000000000000000
χ3988-8-800−4242-1-1113i−3i3i−3i−ζ−2ζ3−ζ−2ζ32ζ+ζ32ζ+ζ3ζ+2ζ3ζ+2ζ3−2ζ−ζ3−2ζ−ζ3000000000000000000000000
χ4088-8-800−4242-1-111−3i3i−3i3i2ζ+ζ32ζ+ζ3−ζ−2ζ3−ζ−2ζ3−2ζ−ζ3−2ζ−ζ3ζ+2ζ3ζ+2ζ3000000000000000000000000
χ418-88-80000-11-113i−3i−3i3i3ζ3−3ζ33ζ−3ζ3ζ3−3ζ33ζ−3ζ000000000000000000000000
χ428-88-80000-11-113i−3i−3i3i−3ζ33ζ3−3ζ3ζ−3ζ33ζ3−3ζ3ζ000000000000000000000000
χ438-88-80000-11-11−3i3i3i−3i3ζ−3ζ3ζ3−3ζ33ζ−3ζ3ζ3−3ζ3000000000000000000000000
χ448-88-80000-11-11−3i3i3i−3i−3ζ3ζ−3ζ33ζ3−3ζ3ζ−3ζ33ζ3000000000000000000000000
χ458-8-888-800-111-1-1-1113i−3i3i−3i−3i3i−3i3i000000000000000000000000
χ468-8-888-800-111-1-1-111−3i3i−3i3i3i−3i3i−3i000000000000000000000000
χ478-8-88-8800-111-111-1-13-3-33-333-3000000000000000000000000
χ488-8-88-8800-111-111-1-1-333-33-3-33000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.