Finite Group Databasebeta

← Group #11817807

Character table — Group #11817807

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order122222223344446666666666666612121212121212122234466666666666666666666666121212121212121212121212121212121212121212121212121212124444444444444412121212121212121212121212121212441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-11-1
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-111-11
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-111-11
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111111-1-11-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-11
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1111-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-1111-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-11111-1-1-11
χ17222222222-122222222-1-1-12-1-1-1-1222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122222222-1-1-12-1-1-1-1222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000000000-2-211111111000000
χ19222222222-122222222-1-1-12-1-1-1-12222222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111000022220000000000000000000000-2-2-1-11111-1-1000000
χ20222222222-122222222-1-1-12-1-1-1-12222222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000-2-2-2-200000000000000000000002211-1-1-1-111000000
χ21222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000022-2-20000000000000000000000-22-1-1-1-11111000000
χ22222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000-2-22200000000000000000000002-21111-1-1-1-1000000
χ23222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-122221111-1-1-1-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000000000002-2-1-111-1-111000000
χ24222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-122221111-1-1-1-111111111-1-1-1-1-1-1-1-10000-2-2220000000000000000000000-2211-1-111-1-1000000
χ2522222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-211111111111111110000000000000000
χ2722222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111122220000-2-222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2822222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2000022-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ2922222222-12-2-2-2-2-1-1-1-1222-12222-1-11111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2111111111111111122220000-2-2-2-222-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-12-2-2-2-2-1-1-1-1222-12222-1-11111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111111111111-2-2-2-200002222-2-21111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-2-2-2-2-1-1-1-1222-12222-1-111111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-12222000022-2-2-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ3222222222-12-2-2-2-2-1-1-1-1222-12222-1-111111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-2-2-20000-2-222221111-1-1-1-1-1-1-1-111110000000000000000
χ33222-2-2-2-22222i2i−2i−2i22-2-22-2-2-222-2-22-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-200002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i0000000000002-22i−2i0000000000000000000000002-200002i−2i000000
χ34222-2-2-2-22222i2i−2i−2i22-2-22-2-2-222-2-22-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-200002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i000000000000-22−2i2i000000000000000000000000-220000−2i2i000000
χ35222-2-2-2-2222−2i−2i2i2i22-2-22-2-2-222-2-22-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-20000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i0000000000002-2−2i2i0000000000000000000000002-20000−2i2i000000
χ36222-2-2-2-2222−2i−2i2i2i22-2-22-2-2-222-2-22-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-20000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i000000000000-222i−2i000000000000000000000000-2200002i−2i000000
χ37222-2-2-2-222-12i2i−2i−2i22-2-2-111-2-1-1112-22i2i2i2i−2i−2i−2i−2i00-1000000−i3−i3i3i3-1-1-1111−i3−i3−i3−i3i3i3i3i310000−i−iii33−3−3−i−i−i−iiiii3333−3−3−3−300002-22i−2i000000000000000000000000-11−i3i33−3−ii000000
χ38222-2-2-2-222-12i2i−2i−2i22-2-2-111-2-1-1112-22i2i2i2i−2i−2i−2i−2i00-1000000−i3−i3i3i3-1-1-1111−i3−i3−i3−i3i3i3i3i310000−i−iii33−3−3−i−i−i−iiiii3333−3−3−3−30000-22−2i2i0000000000000000000000001-1i3−i3−33i−i000000
χ39222-2-2-2-222-12i2i−2i−2i22-2-2-111-2-1-1112-22i2i2i2i−2i−2i−2i−2i00-1000000i3i3−i3−i3-1-1-1111i3i3i3i3−i3−i3−i3−i310000−i−iii−3−333−i−i−i−iiiii−3−3−3−3333300002-22i−2i000000000000000000000000-11i3−i3−33−ii000000
χ40222-2-2-2-222-12i2i−2i−2i22-2-2-111-2-1-1112-22i2i2i2i−2i−2i−2i−2i00-1000000i3i3−i3−i3-1-1-1111i3i3i3i3−i3−i3−i3−i310000−i−iii−3−333−i−i−i−iiiii−3−3−3−333330000-22−2i2i0000000000000000000000001-1−i3i33−3i−i000000
χ41222-2-2-2-222-1−2i−2i2i2i22-2-2-111-2-1-1112-2−2i−2i−2i−2i2i2i2i2i00-1000000−i3−i3i3i3-1-1-1111−i3−i3−i3−i3i3i3i3i310000ii−i−i−3−333iiii−i−i−i−i−3−3−3−3333300002-2−2i2i000000000000000000000000-11−i3i3−33i−i000000
χ42222-2-2-2-222-1−2i−2i2i2i22-2-2-111-2-1-1112-2−2i−2i−2i−2i2i2i2i2i00-1000000−i3−i3i3i3-1-1-1111−i3−i3−i3−i3i3i3i3i310000ii−i−i−3−333iiii−i−i−i−i−3−3−3−333330000-222i−2i0000000000000000000000001-1i3−i33−3−ii000000
χ43222-2-2-2-222-1−2i−2i2i2i22-2-2-111-2-1-1112-2−2i−2i−2i−2i2i2i2i2i00-1000000i3i3−i3−i3-1-1-1111i3i3i3i3−i3−i3−i3−i310000ii−i−i33−3−3iiii−i−i−i−i3333−3−3−3−300002-2−2i2i000000000000000000000000-11i3−i33−3i−i000000
χ44222-2-2-2-222-1−2i−2i2i2i22-2-2-111-2-1-1112-2−2i−2i−2i−2i2i2i2i2i00-1000000i3i3−i3−i3-1-1-1111i3i3i3i3−i3−i3−i3−i310000ii−i−i33−3−3iiii−i−i−i−i3333−3−3−3−30000-222i−2i0000000000000000000000001-1−i3i3−33−ii000000
χ4522-22-2-22-22200002-22-22-2-22-2-222-2-2000000002-220022-2-22-22-22-2-22-2-222-2-222-2-2200000000000000000000000000002i2i−2i−2i000000002i−2i2i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ4622-22-2-22-22200002-22-22-2-22-2-222-2-2000000002-220022-2-22-22-22-2-22-2-222-2-222-2-220000000000000000000000000000−2i−2i2i2i00000000−2i2i−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ4722-22-2-22-22200002-22-22-2-22-2-222-2-200000000-22200-2-222-22-222-2-22-2-2-2-222-2-222200000000000000000000000000002i2i−2i−2i00000000−2i2i2i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ4822-22-2-22-22200002-22-22-2-22-2-222-2-200000000-22200-2-222-22-222-2-22-2-2-2-222-2-22220000000000000000000000000000−2i−2i2i2i000000002i−2i−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ4922-22-2-22-2-120000-11-112-2-2-1-2-22211−i3−i3i3i3−i3−i3i3i32-2-100-1-1112-22-2-111-111-1-111-1-111-1−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i2i−2i−2i000000002i−2i−i−iii33−3−3−i−iii33−3−30000000000000000
χ5022-22-2-22-2-120000-11-112-2-2-1-2-22211−i3−i3i3i3−i3−i3i3i32-2-100-1-1112-22-2-111-111-1-111-1-111-1−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i−2i2i2i00000000−2i2iii−i−i−3−333ii−i−i−3−3330000000000000000
χ5122-22-2-22-2-120000-11-112-2-2-1-2-22211−i3−i3i3i3−i3−i3i3i3-22-10011-1-1-22-22-111-11111-1-111-1-1-1i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32i2i−2i−2i00000000−2i2i−i−iii33−3−3ii−i−i−3−3330000000000000000
χ5222-22-2-22-2-120000-11-112-2-2-1-2-22211−i3−i3i3i3−i3−i3i3i3-22-10011-1-1-22-22-111-11111-1-111-1-1-1i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−2i−2i2i2i000000002i−2iii−i−i−3−333−i−iii33−3−30000000000000000
χ5322-22-2-22-2-120000-11-112-2-2-1-2-22211i3i3−i3−i3i3i3−i3−i32-2-100-1-1112-22-2-111-111-1-111-1-111-1i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i2i−2i−2i000000002i−2i−i−iii−3−333−i−iii−3−3330000000000000000
χ5422-22-2-22-2-120000-11-112-2-2-1-2-22211i3i3−i3−i3i3i3−i3−i32-2-100-1-1112-22-2-111-111-1-111-1-111-1i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i−2i2i2i00000000−2i2iii−i−i33−3−3ii−i−i33−3−30000000000000000
χ5522-22-2-22-2-120000-11-112-2-2-1-2-22211i3i3−i3−i3i3i3−i3−i3-22-10011-1-1-22-22-111-11111-1-111-1-1-1−i3−i3i3i300000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32i2i−2i−2i00000000−2i2i−i−iii−3−333ii−i−i33−3−30000000000000000
χ5622-22-2-22-2-120000-11-112-2-2-1-2-22211i3i3−i3−i3i3i3−i3−i3-22-10011-1-1-22-22-111-11111-1-111-1-1-1−i3−i3i3i300000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−2i−2i2i2i000000002i−2iii−i−i33−3−3−i−iii−3−3330000000000000000
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χ1254-4-444-4-444-20000-4-4-4-422-242-22-2440000000000-2-440000000022-222-200000000-2-444-400002-22-2000000002-2-222-2-220000000000000000000000000000000000000000000000
χ1264-4-444-4-44-2-20000222222-2-22-22-2-2-2−2i32i32i3−2i3−2i32i32i3−2i30014-4−2i32i32i3−2i30000-1-11-1-11i3−i3−i3i3i3−i3−i3i31-222-20000-22-22i3−i3−i3i3i3−i3−i3i31-1-111-1-110000000000000000000000000000000000000000000000
χ1274-4-444-4-44-2-20000222222-2-22-22-2-2-2−2i32i32i3−2i3−2i32i32i3−2i3001-442i3−2i3−2i32i30000-1-11-1-11−i3i3i3−i3−i3i3i3−i312-2-2200002-22-2i3−i3−i3i3i3−i3−i3i3-111-1-111-10000000000000000000000000000000000000000000000
χ1284-4-444-4-44-2-20000222222-2-22-22-2-2-22i3−2i3−2i32i32i3−2i3−2i32i30014-42i3−2i3−2i32i30000-1-11-1-11−i3i3i3−i3−i3i3i3−i31-222-20000-22-22−i3i3i3−i3−i3i3i3−i31-1-111-1-110000000000000000000000000000000000000000000000
χ1294-4-444-4-44-2-20000222222-2-22-22-2-2-22i3−2i3−2i32i32i3−2i3−2i32i3001-44−2i32i32i3−2i30000-1-11-1-11i3−i3−i3i3i3−i3−i3i312-2-2200002-22-2−i3i3i3−i3−i3i3i3−i3-111-1-111-10000000000000000000000000000000000000000000000
χ1304-4-4-4-4444440000-4-444-44-4-4-444-44-4000000000040000000000-4-4444-400000000-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-4-44444-20000-4-4442-22-42-2-224-40000000000-2000000000022-2-2-220000000020000000023−23−23230000000023−23−2323−232323−230000000000000000000000000000000000000000000000
χ1324-4-4-4-44444-20000-4-4442-22-42-2-224-40000000000-2000000000022-2-2-2200000000200000000−232323−2300000000−232323−2323−23−23230000000000000000000000000000000000000000000000
χ1334-4-4-4-4444-24000022-2-2-44-42-444-4-2223−23−2323−232323−2300-2000000000022-2-2-2200000000200000000000023−23−2323−232323−23000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-24000022-2-2-44-42-444-4-22−232323−2323−23−232300-2000000000022-2-2-22000000002000000000000−232323−2323−23−2323000000000000000000000000000000000000000000000000000000
χ1354-4-4-4-4444-2-2000022-2-22-2222-2-22-2223−23−2323−232323−230010000000000-1-1111-13-3-33-333-3-100000000−232323−23−333−33−3−333−3−33−333−30000000000000000000000000000000000000000000000
χ1364-4-4-4-4444-2-2000022-2-22-2222-2-22-2223−23−2323−232323−230010000000000-1-1111-1-333-33-3-33-10000000023−23−2323−333−33−3−33−333−33−3−330000000000000000000000000000000000000000000000
χ1374-4-4-4-4444-2-2000022-2-22-2222-2-22-22−232323−2323−23−23230010000000000-1-1111-13-3-33-333-3-10000000023−23−23233−3−33−333−3−333−33−3−330000000000000000000000000000000000000000000000
χ1384-4-4-4-4444-2-2000022-2-22-2222-2-22-22−232323−2323−23−23230010000000000-1-1111-1-333-33-3-33-100000000−232323−233−3−33−333−33−3−33−333−30000000000000000000000000000000000000000000000

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