Finite Group Databasebeta

← Group #11864989

Character table — Group #11864989

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order12442223344466661212121212122234466666666666612121212121212121212121212666666661212121212121212222244444444666666661212121212121212121212121212121288242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-11111-1-1-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-11111-1-1-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-11-1-11111-1-1-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-11111-1-1-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-111-1-1-1-1111-111-111-1-111-1-11-11-111-1-11-11-111-1-1111-1-1-11-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11-11-1
χ1011-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-111-1-1-1-1111-111-111-1-111-1-11-11-111-1-11-11-111-1-1111-1-1-11-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-111-11-11
χ1111-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-111-1-1-1-1111-111-111-1-111-1-11-11-111-1-11-11-111-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11-111-1-1-11-11
χ1211-1-1-1-1111-111-1-111-1-1-1-1111-111-1-11-1-111-1-1-1-1111-111-111-1-111-1-11-11-111-1-11-11-111-1-1-1-1-1111-11-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-11-1-1111-11-1
χ1311-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-111-1-1111-111-1-1-11111-1-1-111-1-1-111-111-1-1-11111-11-1-1-1111-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-1111-1-11
χ1411-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-111-1-1111-111-1-1-11111-1-1-111-1-1-111-111-1-1-11111-11-1-1-11-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-1
χ1511-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-111-1-1111-111-1-1-11111-1-1-111-1-1-111-111-1-1-111-1-11-1111-111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-11-1-111-111-1
χ1611-1-1-1-1111-111-1-111-1-1-1-111-111-11-11-1-1-1-111-1-1111-111-1-1-11111-1-1-111-1-1-111-111-1-1-111-1-11-1111-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111111-111-1-11-1-11
χ1722222222-1222222-122-1-12222-1222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ1822222222-1222222-122-1-12222-1222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ1922222222-1222222-122-1-122-2-2-1-2-22-1-1-11111-1-1-1222-1-1-11111-1-1-1-1-2-2-1-11111-2-2-1-1111122-2-222-2-20000-1-1-1-11111-1-1-1-11111000000000000000000
χ2022222222-1222222-122-1-122-2-2-1-2-22-1-1-11111-1-1-1222-1-1-11111-1-1-1-1-2-2-1-11111-2-2-1-11111-2-222-2-22200001111-1-1-1-11111-1-1-1-1000000000000000000
χ212222222-12222-1-1-12-1-122-1-122-122-12222222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ222222222-12222-1-1-12-1-122-1-122-122-12222222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111-2-211110000
χ232222222-12222-1-1-12-1-122-1-1-2-2-1-2-2-1222-2-2-2-2-1-1-1-1-1-1222-2-2-2-2-1-1-1-111-1-1111111-1-111110000000022220000000000000000-1-1-1-1-1-1-1-1-2-211110000
χ242222222-12222-1-1-12-1-122-1-1-2-2-1-2-2-1222-2-2-2-2-1-1-1-1-1-1222-2-2-2-2-1-1-1-111-1-1111111-1-1111100000000-2-2-2-200000000000000001111111122-1-1-1-10000
χ2522222-2-222-22-2222222222200200-2-22-20000222-2-2-22-2-20000222200-2-2000000-2-20000002-200-220000000022-2-20000-2-222000000000000000000
χ2622222-2-222-22-2222222222200200-2-22-20000222-2-2-22-2-20000222200-2-2000000-2-2000000-22002-200000000-2-222000022-2-2000000000000000000
χ2722222-2-22-1-22-2222-122-1-12200-100-21-11−i3i3−i3i3-1-1-1-2-2-2-111−i3i3−i3i3-1-1-1-10011−i3i3−i3i30011−i3i3−i3i3002-200-220000−i3−i3i3i3-1-111−i3−i3i3i311-1-1000000000000000000
χ2822222-2-22-1-22-2222-122-1-12200-100-21-11−i3i3−i3i3-1-1-1-2-2-2-111−i3i3−i3i3-1-1-1-10011−i3i3−i3i30011−i3i3−i3i300-22002-20000i3i3−i3−i311-1-1i3i3−i3−i3-1-111000000000000000000
χ2922222-2-22-1-22-2222-122-1-12200-100-21-11i3−i3i3−i3-1-1-1-2-2-2-111i3−i3i3−i3-1-1-1-10011i3−i3i3−i30011i3−i3i3−i3002-200-220000i3i3−i3−i3-1-111i3i3−i3−i311-1-1000000000000000000
χ3022222-2-22-1-22-2222-122-1-12200-100-21-11i3−i3i3−i3-1-1-1-2-2-2-111i3−i3i3−i3-1-1-1-10011i3−i3i3−i30011i3−i3i3−i300-22002-20000−i3−i3i3i311-1-1−i3−i3i3i3-1-111000000000000000000
χ312222-22-222-2-22-2-2222222-2-22-22-222-2-2222-2-2-2-22-22-2-22-2-2-222-2-2222-2-2222-2-2-222-2-2-2220000000000000000000000000000000000000000000000
χ322222-22-222-2-22-2-2222222-2-2-2222-22-2-22-2-222-2-22-22-2-22-222-2-2-2-222-22-22-2-2222-22-222-2-20000000000000000000000000000000000000000000000
χ332222-22-22-1-2-22-2-22-122-1-1-2-22-2-1-22211-1-1-11111-1-22-21-1111-1-111-1-12-21-1-1-111-22-1111-1-1000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ342222-22-22-1-2-22-2-22-122-1-1-2-22-2-1-22211-1-1-11111-1-22-21-1111-1-111-1-12-21-1-1-111-22-1111-1-1000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ352222-22-22-1-2-22-2-22-122-1-1-2-2-22-12-2211-111-1-111-1-22-21-11-1-11111-1-1-221-111-1-12-2-11-1-111000000000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ362222-22-22-1-2-22-2-22-122-1-1-2-2-22-12-2211-111-1-111-1-22-21-11-1-11111-1-1-221-111-1-12-2-11-1-111000000000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ372222-22-2-12-2-2211-12-1-122112-2-1-22-1-2-2222-2-211-11-11-22-2-2-22211-1-1-111-1-1-1111-1-1111-1-1000000000000000000000000000033−3−333−3−3003−33−30000
χ382222-22-2-12-2-2211-12-1-122112-2-1-22-1-2-2222-2-211-11-11-22-2-2-22211-1-1-111-1-1-1111-1-1111-1-10000000000000000000000000000−3−333−3−33300−33−330000
χ392222-22-2-12-2-2211-12-1-12211-22-12-2-1-2-22-2-22211-11-11-22-222-2-211-1-11-11-111-1-1-11-11-1-111000000000000000000000000000033−3−333−3−300−33−330000
χ402222-22-2-12-2-2211-12-1-12211-22-12-2-1-2-22-2-22211-11-11-22-222-2-211-1-11-11-111-1-1-11-11-1-1110000000000000000000000000000−3−333−3−333003−33−30000
χ412222-2-22222-2-2-2-2222222-2-200200-22-2-20000-2-222-22-2-220000-2-222002-2000000-2200002-2002-20000002-2-2200002-2-220000000000000000000000
χ422222-2-22222-2-2-2-2222222-2-200200-22-2-20000-2-222-22-2-220000-2-222002-2000000-220000-2200-22000000-222-20000-222-20000000000000000000000
χ432222-2-222-12-2-2-2-22-122-1-1-2-200-100-2-111−i3i3i3−i311-12-2211-1i3−i3−i3i311-1-100-11−i3i3i3−i3001-1i3−i3−i3i32-2002-2000000-111-1−i3i3i3−i3-111-1i3−i3−i3i3000000000000000000
χ442222-2-222-12-2-2-2-22-122-1-1-2-200-100-2-111−i3i3i3−i311-12-2211-1i3−i3−i3i311-1-100-11−i3i3i3−i3001-1i3−i3−i3i3-2200-220000001-1-11i3−i3−i3i31-1-11−i3i3i3−i3000000000000000000
χ452222-2-222-12-2-2-2-22-122-1-1-2-200-100-2-111i3−i3−i3i311-12-2211-1−i3i3i3−i311-1-100-11i3−i3−i3i3001-1−i3i3i3−i32-2002-2000000-111-1i3−i3−i3i3-111-1−i3i3i3−i3000000000000000000
χ462222-2-222-12-2-2-2-22-122-1-1-2-200-100-2-111i3−i3−i3i311-12-2211-1−i3i3i3−i311-1-100-11i3−i3−i3i3001-1−i3i3i3−i3-2200-220000001-1-11−i3i3i3−i31-1-11i3−i3−i3i3000000000000000000
χ4722-2-222222-2-2-22222-2-2-2-2-2-200200222200002222-2-2-2-2-20000-2-2-2-20022000000-2-200002-200-220000002-2-220000-222-20000000000000000000000
χ4822-2-222222-2-2-22222-2-2-2-2-2-200200222200002222-2-2-2-2-20000-2-2-2-20022000000-2-20000-22002-2000000-222-200002-2-220000000000000000000000
χ4922-2-22222-1-2-2-2222-1-2-211-2-200-1002-1-1-1−i3i3−i3i3-1-1-12-2-2111i3−i3i3−i3111100-1-1−i3i3−i3i30011i3−i3i3−i32-200-22000000-111-1−i3i3−i3i31-1-11i3−i3i3−i3000000000000000000
χ5022-2-22222-1-2-2-2222-1-2-211-2-200-1002-1-1-1−i3i3−i3i3-1-1-12-2-2111i3−i3i3−i3111100-1-1−i3i3−i3i30011i3−i3i3−i3-22002-20000001-1-11i3−i3i3−i3-111-1−i3i3−i3i3000000000000000000
χ5122-2-22222-1-2-2-2222-1-2-211-2-200-1002-1-1-1i3−i3i3−i3-1-1-12-2-2111−i3i3−i3i3111100-1-1i3−i3i3−i30011−i3i3−i3i32-200-22000000-111-1i3−i3i3−i31-1-11−i3i3−i3i3000000000000000000
χ5222-2-22222-1-2-2-2222-1-2-211-2-200-1002-1-1-1i3−i3i3−i3-1-1-12-2-2111−i3i3−i3i3111100-1-1i3−i3i3−i30011−i3i3−i3i3-22002-20000001-1-11−i3i3−i3i3-111-1i3−i3i3−i3000000000000000000
χ5322-2-22-2-2222-222222-2-2-2-2-2-2222-2-2-2-22-22222222-222-222-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000
χ5422-2-22-2-2222-222222-2-2-2-2-2-2-2-2222-2-22-2-2-2-2-2222-222-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000
χ5522-2-22-2-22-12-22222-1-2-211-2-222-1-2-2-21-11-1-1-1-1-1-1-1-2221-1-1111111112211-1-1-1-1-2-2-1-11111000000000000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3000000000000000000
χ5622-2-22-2-22-12-22222-1-2-211-2-222-1-2-2-21-11-1-1-1-1-1-1-1-2221-1-1111111112211-1-1-1-1-2-2-1-11111000000000000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3i3−i3−i3i3000000000000000000
χ5722-2-22-2-22-12-22222-1-2-211-2-2-2-2-122-21-111111-1-1-1-2221-1-1-1-1-1-11111-2-211111122-1-1-1-1-1-1000000000000−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3000000000000000000
χ5822-2-22-2-22-12-22222-1-2-211-2-2-2-2-122-21-111111-1-1-1-2221-1-1-1-1-1-11111-2-211111122-1-1-1-1-1-1000000000000i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3000000000000000000
χ5922-2-22-2-2-122-22-1-1-1211-2-21122-1-2-21-22-22222-1-1-11-1-1-222-2-2-2-21111-1-111-1-1-1-111-1-11111000000000000000000000000000033−3−3−3−333003−3−330000
χ6022-2-22-2-2-122-22-1-1-1211-2-21122-1-2-21-22-22222-1-1-11-1-1-222-2-2-2-21111-1-111-1-1-1-111-1-111110000000000000000000000000000−3−33333−3−300−333−30000
χ6122-2-22-2-2-122-22-1-1-1211-2-211-2-2-1221-22-2-2-2-2-2-1-1-11-1-1-2222222111111111111-1-1-1-1-1-1-1-1000000000000000000000000000033−3−3−3−33300−333−30000
χ6222-2-22-2-2-122-22-1-1-1211-2-211-2-2-1221-22-2-2-2-2-2-1-1-11-1-1-2222222111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−3−33333−3−3003−3−330000
χ6322-2-2-22-22222-2-2-222-2-2-2-222002002-2-220000-2-22-2-222-22000022-2-200-22000000-220000002200-2-20000000022220000-2-2-2-2000000000000000000
χ6422-2-2-22-22222-2-2-222-2-2-2-222002002-2-220000-2-22-2-222-22000022-2-200-22000000-22000000-2-2002200000000-2-2-2-200002222000000000000000000
χ6522-2-2-22-22-122-2-2-22-1-2-2112200-100211-1−i3i3i3−i311-1-2-22-11-1−i3i3i3−i3-1-111001-1−i3i3i3−i3001-1−i3i3i3−i3002200-2-20000−i3−i3i3i3-1-1-1-1i3i3−i3−i31111000000000000000000
χ6622-2-2-22-22-122-2-2-22-1-2-2112200-100211-1−i3i3i3−i311-1-2-22-11-1−i3i3i3−i3-1-111001-1−i3i3i3−i3001-1−i3i3i3−i300-2-200220000i3i3−i3−i31111−i3−i3i3i3-1-1-1-1000000000000000000
χ6722-2-2-22-22-122-2-2-22-1-2-2112200-100211-1i3−i3−i3i311-1-2-22-11-1i3−i3−i3i3-1-111001-1i3−i3−i3i3001-1i3−i3−i3i3002200-2-20000i3i3−i3−i3-1-1-1-1−i3−i3i3i31111000000000000000000
χ6822-2-2-22-22-122-2-2-22-1-2-2112200-100211-1i3−i3−i3i311-1-2-22-11-1i3−i3−i3i3-1-111001-1i3−i3−i3i3001-1i3−i3−i3i300-2-200220000−i3−i3i3i31111i3i3−i3−i3-1-1-1-1000000000000000000
χ6922-2-2-2-222-1-222-2-22-1-2-211222-2-12-2-2-111-1-11111-122-2-1-11-1-111-1-1112-2-11-1-1112-2-11-1-111222-2-2-22-20000-1-1-1-1-1-1111111-1-111000000000000000000
χ7022-2-2-2-222-1-222-2-22-1-2-211222-2-12-2-2-111-1-11111-122-2-1-11-1-111-1-1112-2-11-1-1112-2-11-1-111-2-2-2222-220000111111-1-1-1-1-1-111-1-1000000000000000000
χ7122-2-2-2-222-1-222-2-22-1-2-21122-22-1-22-2-11111-1-111-122-2-1-1111-1-1-1-111-22-1111-1-1-22-1111-1-122-22-2-2-220000-1-1-1-111-1-1111111-1-1000000000000000000
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χ1098-88i−8i0008-400000-848i−8i−4i4i0000-40000000000004000000000000−4i4i00000000000000000000000000000000000000000000000000000000000000
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χ1128-8−8i8i0008-400000-84−8i8i4i−4i0000-400000000000040000000000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−434300200000000002i3−2i3-2000000000023−23−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−430020000000000−2i32i3-20000000000−2323−2i2i00000000000000000000000000000000000000000000000000000000000000

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