Finite Group Databasebeta

← Group #10801005

Character table — Group #10801005

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222444444444444444444444444444444444444444488888888888888888888121212121212121212121212121212122424242424242424
order122222223444444444444666666612121212121212124444444488888888121212121212121224242424242424242424242424242424444412121212121212121212121212121212222222444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ9111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111
χ11111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111
χ1711-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i11-1-11-1i−i1-1ii−i−ii−i1-1i−i1-1i−i
χ1811-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i-1-111-11−ii-11−i−iii−ii-11−ii-11−ii
χ1911-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii11-1-1ii−i−i-1-111−i−iii11-1-11-1i−i1-1ii−i−ii−i-11−ii-11−ii
χ2011-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii11-1-1ii−i−i-1-111−i−iii-1-111-11−ii-11−i−iii−ii1-1i−i1-1i−i
χ2111-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i-1-111−i−iii11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-1-111−i−iii11-1-1-11−ii-11ii−i−i−ii1-1i−i-11−ii
χ2211-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i-1-111−i−iii11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-1-111−i−iii-1-1111-1i−i1-1−i−iiii−i-11−ii1-1i−i
χ2311-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-1-111−i−iii11-1-1ii−i−i11-1-1-11−ii-11ii−i−i−ii-11−ii1-1i−i
χ2411-1-11-11-11ii−i−iii−i−i1-11-111-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-1-111−i−iii11-1-1ii−i−i-1-1111-1i−i1-1−i−iiii−i1-1i−i-11−ii
χ2511-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii11-1-11-1−ii1-1−i−iii−ii1-1−ii1-1−ii
χ2611-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii-1-111-11i−i-11ii−i−ii−i-11i−i-11i−i
χ2711-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i11-1-1−i−iii-1-111ii−i−i11-1-11-1−ii1-1−i−iii−ii-11i−i-11i−i
χ2811-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i11-1-1−i−iii-1-111ii−i−i-1-111-11i−i-11ii−i−ii−i1-1−ii1-1−ii
χ2911-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-1-111ii−i−i11-1-1-11i−i-11−i−iiii−i1-1−ii-11i−i
χ3011-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-1-111ii−i−i-1-1111-1−ii1-1ii−i−i−ii-11i−i1-1−ii
χ3111-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-1-111ii−i−i11-1-1−i−iii11-1-1-11i−i-11−i−iiii−i-11i−i1-1−ii
χ3211-1-11-11-11−i−iii−i−iii1-11-111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-1-111ii−i−i11-1-1−i−iii-1-1111-1−ii1-1ii−i−i−ii1-1−ii-11i−i
χ332222222222222-2-2-2-2-2-2-2-22222222222222220000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-2-2-200002200000000
χ342222222222222-2-2-2-2-2-2-2-22222222222222220000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-222220000-2-200000000
χ35222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-200000000000000000000000000000000000000002222-2-20000-2-200000000
χ36222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-20000000000000000000000000000000000000000-2-2-2-22200002200000000
χ3722222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3822222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ3922222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000000000000000000000
χ4022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ4122222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ4222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ4322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ4422222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ4522-2-22-22-222i2i−2i−2i−2i−2i2i2i-22-2222-2-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000-22−2i−2i2i2i-2200000000000000000000000000000000000000002-2−2i2i-2200002i−2i00000000
χ4622-2-22-22-222i2i−2i−2i−2i−2i2i2i-22-2222-2-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000-22−2i−2i2i2i-220000000000000000000000000000000000000000-222i−2i2-20000−2i2i00000000
χ4722-2-22-22-22−2i−2i2i2i2i2i−2i−2i-22-2222-2-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000-222i2i−2i−2i-2200000000000000000000000000000000000000002-22i−2i-220000−2i2i00000000
χ4822-2-22-22-22−2i−2i2i2i2i2i−2i−2i-22-2222-2-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000-222i2i−2i−2i-220000000000000000000000000000000000000000-22−2i2i2-200002i−2i00000000
χ4922-2-22-22-2-12i2i−2i−2i2i2i−2i−2i2-22-2-1-1111-11−i−i−i−iiiii22-2-22i2i−2i−2i22-2-22i2i−2i−2i-11−i−iii-11-1-1-1-11111−i−i−i−iiiii2-22i−2i-1-111−i−iii-1-111−i−iii000000000000000000000000
χ5022-2-22-22-2-12i2i−2i−2i2i2i−2i−2i2-22-2-1-1111-11−i−i−i−iiiii22-2-22i2i−2i−2i-2-222−2i−2i2i2i-11−i−iii-111111-1-1-1-1iiii−i−i−i−i-22−2i2i-1-111−i−iii11-1-1ii−i−i000000000000000000000000
χ5122-2-22-22-2-12i2i−2i−2i2i2i−2i−2i2-22-2-1-1111-11−i−i−i−iiiii-2-222−2i−2i2i2i22-2-22i2i−2i−2i-11−i−iii-11-1-1-1-11111−i−i−i−iiiii-22−2i2i11-1-1ii−i−i11-1-1ii−i−i000000000000000000000000
χ5222-2-22-22-2-12i2i−2i−2i2i2i−2i−2i2-22-2-1-1111-11−i−i−i−iiiii-2-222−2i−2i2i2i-2-222−2i−2i2i2i-11−i−iii-111111-1-1-1-1iiii−i−i−i−i2-22i−2i11-1-1ii−i−i-1-111−i−iii000000000000000000000000
χ5322-2-22-22-2-1−2i−2i2i2i−2i−2i2i2i2-22-2-1-1111-11iiii−i−i−i−i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i-11ii−i−i-11-1-1-1-11111iiii−i−i−i−i2-2−2i2i-1-111ii−i−i-1-111ii−i−i000000000000000000000000
χ5422-2-22-22-2-1−2i−2i2i2i−2i−2i2i2i2-22-2-1-1111-11iiii−i−i−i−i22-2-2−2i−2i2i2i-2-2222i2i−2i−2i-11ii−i−i-111111-1-1-1-1−i−i−i−iiiii-222i−2i-1-111ii−i−i11-1-1−i−iii000000000000000000000000
χ5522-2-22-22-2-1−2i−2i2i2i−2i−2i2i2i2-22-2-1-1111-11iiii−i−i−i−i-2-2222i2i−2i−2i22-2-2−2i−2i2i2i-11ii−i−i-11-1-1-1-11111iiii−i−i−i−i-222i−2i11-1-1−i−iii11-1-1−i−iii000000000000000000000000
χ5622-2-22-22-2-1−2i−2i2i2i−2i−2i2i2i2-22-2-1-1111-11iiii−i−i−i−i-2-2222i2i−2i−2i-2-2222i2i−2i−2i-11ii−i−i-111111-1-1-1-1−i−i−i−iiiii2-2−2i2i11-1-1−i−iii-1-111ii−i−i000000000000000000000000
χ572-22-2-222-222i−2i2i−2i2i−2i2i−2i2-2-22-2-222-22-22i2i−2i−2i2i2i−2i−2i2-22-22i−2i2i−2i00000000-222i−2i2i−2i2-2000000000000000000002-22-22i−2i2i−2i00000000000000000000000000000000
χ582-22-2-222-222i−2i2i−2i2i−2i2i−2i2-2-22-2-222-22-22i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i00000000-222i−2i2i−2i2-200000000000000000000-22-22−2i2i−2i2i00000000000000000000000000000000
χ592-22-2-222-222i−2i2i−2i−2i2i−2i2i-222-2-2-222-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-2−2i2i−2i2i-220000000000000000000000000000000000002-22-20000002i−2i2i−2i0000000000
χ602-22-2-222-222i−2i2i−2i−2i2i−2i2i-222-2-2-222-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-2−2i2i−2i2i-22000000000000000000000000000000000000-22-22000000−2i2i−2i2i0000000000
χ612-22-2-222-22−2i2i−2i2i2i−2i2i−2i-222-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22i−2i2i−2i-220000000000000000000000000000000000002-22-2000000−2i2i−2i2i0000000000
χ622-22-2-222-22−2i2i−2i2i2i−2i2i−2i-222-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22i−2i2i−2i-22000000000000000000000000000000000000-22-220000002i−2i2i−2i0000000000
χ632-22-2-222-22−2i2i−2i2i−2i2i−2i2i2-2-22-2-222-22-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i00000000-22−2i2i−2i2i2-2000000000000000000002-22-2−2i2i−2i2i00000000000000000000000000000000
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χ1134-4-44-4-444-24-4-44-444-4-4-4442222-2-2-2-2-22222-2-20000000000000000-2-22-2-2222000000000000000000000000000000000000000000000000000000000000
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χ1174-4-4-444-44-20000000000002-22-222-223−23−2323−232323−230000000022−22−2222000000000000−222−22−2−226−6−66−666−600000000000000000000000000000000000000000000
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χ1194-4-4-444-44-20000000000002-22-222-2−232323−2323−23−23230000000022−22−2222000000000000−222−22−2−22−666−66−6−6600000000000000000000000000000000000000000000
χ1204-4-4-444-44-20000000000002-22-222-2−232323−2323−23−232300000000−222222−220000000000002−2−22−222−26−6−66−666−600000000000000000000000000000000000000000000

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