Finite Group Databasebeta

← Group #72227111

Character table — Group #72227111

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size112222222222244444444444444444444444488888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323264646464
order12222444488884444448888888888161616161616161622444444444881616161616161616888888888888161616161616161616163232323232323232323232323232323288888888888888888888323232323232323216161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ9111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i
χ10111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii
χ11111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii
χ12111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i
χ13111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii
χ14111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i
χ15111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiii-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i
χ16111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii
χ17111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1ii−i−ii−ii−iii−i−i11-1-11-1i−iζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1i−iii−i−i1111-1-1-1-1iiii−i−i−i−iζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−iζ−ζζ3−ζ3
χ18111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1ii−i−ii−ii−iii−i−i11-1-11-1i−iζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1i−iii−i−i-1-1-1-11111−i−i−i−iiiiiζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii−ζζ−ζ3ζ3
χ19111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1ii−i−ii−ii−iii−i−i11-1-11-1i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1i−iii−i−i1111-1-1-1-1iiii−i−i−i−i−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i−ζζ−ζ3ζ3
χ20111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1ii−i−ii−ii−iii−i−i11-1-11-1i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1i−iii−i−i-1-1-1-11111−i−i−i−iiiii−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iiiζ−ζζ3−ζ3
χ21111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1−i−iiii−ii−iii−i−i11-1-1-11−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111i−i−i−iii1111-1-1-1-1iiii−i−i−i−iζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii−ζζ−ζ3ζ3
χ22111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1−i−iiii−ii−iii−i−i11-1-1-11−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111i−i−i−iii-1-1-1-11111−i−i−i−iiiiiζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−iζ−ζζ3−ζ3
χ23111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1−i−iiii−ii−iii−i−i11-1-1-11−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111i−i−i−iii1111-1-1-1-1iiii−i−i−i−i−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iiiζ−ζζ3−ζ3
χ24111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1−i−iiii−ii−iii−i−i11-1-1-11−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111i−i−i−iii-1-1-1-11111−i−i−i−iiiii−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i−ζζ−ζ3ζ3
χ25111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−i−iii−ii−ii−i−iii11-1-11-1−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−ii−i−iii1111-1-1-1-1−i−i−i−iiiiiζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iiiζ3−ζ3ζ−ζ
χ26111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−i−iii−ii−ii−i−iii11-1-11-1−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−ii−i−iii-1-1-1-11111iiii−i−i−i−iζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i−ζ3ζ3−ζζ
χ27111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−i−iii−ii−ii−i−iii11-1-11-1−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−ii−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii−ζ3ζ3−ζζ
χ28111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−i−iii−ii−ii−i−iii11-1-11-1−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−ii−i−iii-1-1-1-11111iiii−i−i−i−i−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−iζ3−ζ3ζ−ζ
χ29111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1ii−i−i−ii−ii−i−iii11-1-1-11i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111−iiii−i−i1111-1-1-1-1−i−i−i−iiiiiζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i−ζ3ζ3−ζζ
χ30111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1ii−i−i−ii−ii−i−iii11-1-1-11i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111−iiii−i−i-1-1-1-11111iiii−i−i−i−iζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iiiζ3−ζ3ζ−ζ
χ31111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1ii−i−i−ii−ii−i−iii11-1-1-11i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111−iiii−i−i1111-1-1-1-1−i−i−i−iiiii−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−iζ3−ζ3ζ−ζ
χ32111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1ii−i−i−ii−ii−i−iii11-1-1-11i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111−iiii−i−i-1-1-1-11111iiii−i−i−i−i−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii−ζ3ζ3−ζζ
χ3322222222222222222222222222222-2-2-2-2-2-2-2-22222222222222-2-2-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-22222000000000000000000000000000000000000000000000000
χ35222222222222222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-200000000-2-2-2-2222222000000000000000000000000000000000000000000000000
χ36222222222222222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-22200000000222222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222222-2-2-2-22222222-2-2-2-2-2-2-2000000002222-22222-2-22200000000-2-2-2-2000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ3822222222222-2-2-2-22222222-2-2-2-2-2-2-2000000002222-22222-2-22200000000-2-2-2-2000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ3922222222222-2-2-2-22222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-222000000002222000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ4022222222222-2-2-2-22222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-222000000002222000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ4122222222222-2-2-2-2-2-2-2-222222-2-2-222000000002222-2-2-2-2-222-2-200000000-2-222000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ4222222222222-2-2-2-2-2-2-2-222222-2-2-222000000002222-2-2-2-2-222-2-200000000-2-222000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ4322222222222-2-2-2-2-2-2-2-222222-2-2-22200000000-2-2-2-2-2222222-2-20000000022-2-2000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ4422222222222-2-2-2-2-2-2-2-222222-2-2-22200000000-2-2-2-2-2222222-2-20000000022-2-2000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ45222222222-2-222-2-22222-2-2-22222222222222220000-20000-2-2-2-22222-2-2-2-20000222222220000-2-200000000000000000000-2-2-2-20000000000000000000000000000
χ46222222222-2-222-2-22222-2-2-22222222222222220000-20000-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-20000-2-20000000000000000000022220000000000000000000000000000
χ47222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2-2-2-20000-20000-2-2-2-2-2-2-2-222220000000000000000220000000000000000000000002-22-22-22-200000000000000000000
χ48222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2-2-2-20000-20000-2-2-2-2-2-2-2-22222000000000000000022000000000000000000000000-22-22-22-2200000000000000000000
χ49222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2222222220000-200002222-2-2-2-2-2-2-2-200002i2i2i2i−2i−2i−2i−2i00002200000000000000000000−2i−2i2i2i0000000000000000000000000000
χ50222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2222222220000-200002222-2-2-2-2-2-2-2-20000−2i−2i−2i−2i2i2i2i2i000022000000000000000000002i2i−2i−2i0000000000000000000000000000
χ51222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-20000-200002222222222220000000000000000-2-20000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ52222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-20000-200002222222222220000000000000000-2-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ53222-2-22-22-22222222i−2i2i−2i2-2-22i−2i2-2-22i−2i-2-222-2-2222-22-2-22i2i−2i−2i2i−2i2i−2i−2i−2i2i2i-2-2222-22i−2i00000000-2-222−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ54222-2-22-22-22222222i−2i2i−2i2-2-22i−2i2-2-22i−2i-2-222-2-222-22-22-2−2i−2i2i2i2i−2i2i−2i−2i−2i2i2i-2-222-22−2i2i0000000022-2-2−2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ55222-2-22-22-2222222−2i2i−2i2i2-2-2−2i2i2-2-2−2i2i-2-222-2-2222-22-2-2−2i−2i2i2i−2i2i−2i2i2i2i−2i−2i-2-2222-2−2i2i00000000-2-2222i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ56222-2-22-22-2222222−2i2i−2i2i2-2-2−2i2i2-2-2−2i2i-2-222-2-222-22-22-22i2i−2i−2i−2i2i−2i2i2i2i−2i−2i-2-222-222i−2i0000000022-2-22i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ57222-2-22-22-222-2-2-2-22i−2i2i−2i2-2-2−2i2i-222−2i2i000000002-22-222i2i−2i−2i−2i2i2i−2i00000000-22−2i2i000000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000000000i2−i2−i2i2−222−20000
χ58222-2-22-22-222-2-2-2-22i−2i2i−2i2-2-2−2i2i-222−2i2i000000002-22-222i2i−2i−2i−2i2i2i−2i00000000-22−2i2i000000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000000000−i2i2i2−i22−2−220000
χ59222-2-22-22-222-2-2-2-22i−2i2i−2i2-2-2−2i2i-222−2i2i00000000-22-222−2i−2i2i2i−2i2i2i−2i000000002-22i−2i000000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000000000−i2i2i2−i22−2−220000
χ60222-2-22-22-222-2-2-2-22i−2i2i−2i2-2-2−2i2i-222−2i2i00000000-22-222−2i−2i2i2i−2i2i2i−2i000000002-22i−2i000000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000000000i2−i2−i2i2−222−20000
χ61222-2-22-22-222-2-2-2-2−2i2i−2i2i2-2-22i−2i-2222i−2i000000002-22-22−2i−2i2i2i2i−2i−2i2i00000000-222i−2i000000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000000000000000i2−i2−i2i22−2−220000
χ62222-2-22-22-222-2-2-2-2−2i2i−2i2i2-2-22i−2i-2222i−2i000000002-22-22−2i−2i2i2i2i−2i−2i2i00000000-222i−2i000000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000000000−i2i2i2−i2−222−20000
χ63222-2-22-22-222-2-2-2-2−2i2i−2i2i2-2-22i−2i-2222i−2i00000000-22-2222i2i−2i−2i2i−2i−2i2i000000002-2−2i2i000000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000000000000000−i2i2i2−i2−222−20000
χ64222-2-22-22-222-2-2-2-2−2i2i−2i2i2-2-22i−2i-2222i−2i00000000-22-2222i2i−2i−2i2i−2i−2i2i000000002-2−2i2i000000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000000000i2−i2−i2i22−2−220000
χ65222-2-22-22-2-2-222-2-22i−2i2i−2i-2222i−2i2-2-22i−2i22-2-222-2-2000020000−2i2i−2i2i2i2i−2i−2i-2-22200002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30000−2i2i00000000000000000000−2ζ2ζ−2ζ32ζ30000000000000000000000000000
χ66222-2-22-22-2-2-222-2-22i−2i2i−2i-2222i−2i2-2-22i−2i22-2-222-2-2000020000−2i2i−2i2i2i2i−2i−2i-2-2220000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30000−2i2i000000000000000000002ζ−2ζ2ζ3−2ζ30000000000000000000000000000
χ67222-2-22-22-2-2-222-2-22i−2i2i−2i-2222i−2i2-2-22i−2i-2-222-2-222000020000−2i2i−2i2i−2i−2i2i2i22-2-200000000000000002i−2i0000000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300000000000000000000
χ68222-2-22-22-2-2-222-2-22i−2i2i−2i-2222i−2i2-2-22i−2i-2-222-2-222000020000−2i2i−2i2i−2i−2i2i2i22-2-200000000000000002i−2i000000000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300000000000000000000
χ69222-2-22-22-2-2-222-2-2−2i2i−2i2i-222−2i2i2-2-2−2i2i22-2-222-2-20000200002i−2i2i−2i−2i−2i2i2i-2-22200002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00002i−2i00000000000000000000−2ζ32ζ3−2ζ2ζ0000000000000000000000000000
χ70222-2-22-22-2-2-222-2-2−2i2i−2i2i-222−2i2i2-2-2−2i2i22-2-222-2-20000200002i−2i2i−2i−2i−2i2i2i-2-2220000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00002i−2i000000000000000000002ζ3−2ζ32ζ−2ζ0000000000000000000000000000
χ71222-2-22-22-2-2-222-2-2−2i2i−2i2i-222−2i2i2-2-2−2i2i-2-222-2-2220000200002i−2i2i−2i2i2i−2i−2i22-2-20000000000000000−2i2i0000000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00000000000000000000
χ72222-2-22-22-2-2-222-2-2−2i2i−2i2i-222−2i2i2-2-2−2i2i-2-222-2-2220000200002i−2i2i−2i2i2i−2i−2i22-2-20000000000000000−2i2i000000000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00000000000000000000
χ7322-22-2-222-20022002i−2i−2i2i000−2i2i-22-22i−2i22-2-2-2-22200000000000002i−2i2i−2i000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ7422-22-2-222-20022002i−2i−2i2i000−2i2i-22-22i−2i22-2-2-2-22200000000000002i−2i2i−2i000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ7522-22-2-222-20022002i−2i−2i2i000−2i2i-22-22i−2i22-2-2-2-22200000000000002i−2i2i−2i00000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ7622-22-2-222-20022002i−2i−2i2i000−2i2i-22-22i−2i22-2-2-2-22200000000000002i−2i2i−2i00000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ7722-22-2-222-2002200−2i2i2i−2i0002i−2i-22-2−2i2i22-2-2-2-2220000000000000−2i2i−2i2i000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ7822-22-2-222-2002200−2i2i2i−2i0002i−2i-22-2−2i2i22-2-2-2-2220000000000000−2i2i−2i2i000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ7922-22-2-222-2002200−2i2i2i−2i0002i−2i-22-2−2i2i22-2-2-2-2220000000000000−2i2i−2i2i00000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ8022-22-2-222-2002200−2i2i2i−2i0002i−2i-22-2−2i2i22-2-2-2-2220000000000000−2i2i−2i2i00000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ8122-2-22-2-22200220022-2-2000-2-2-2-22222222-2-2-2-200000000000002-2-22000000002i−2i−2i2i−2i2i2i−2i0000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000002−2−22−222−2000000000000
χ8222-2-22-2-22200220022-2-2000-2-2-2-22222222-2-2-2-200000000000002-2-22000000002i−2i−2i2i−2i2i2i−2i0000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000−222−22−2−22000000000000
χ8322-2-22-2-22200220022-2-2000-2-2-2-22222222-2-2-2-200000000000002-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000−222−22−2−22000000000000
χ8422-2-22-2-22200220022-2-2000-2-2-2-22222222-2-2-2-200000000000002-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000002−2−22−222−2000000000000
χ8522-2-22-2-222002200-2-22200022-2-22-2-22222-2-2-2-20000000000000-222-2000000002-2-222-2-220000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ8622-2-22-2-222002200-2-22200022-2-22-2-22222-2-2-2-20000000000000-222-2000000002-2-222-2-220000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ8722-2-22-2-222002200-2-22200022-2-22-2-22222-2-2-2-20000000000000-222-200000000-222-2-222-20000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ8822-2-22-2-222002200-2-22200022-2-22-2-22222-2-2-2-20000000000000-222-200000000-222-2-222-20000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ89444444444-4-4-4-4444444-4-4-4-4-4-4-4-4-4-40000000000004000044-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ90444444444-4-4-4-444-4-4-4-4-4-4-444-4-4-44400000000000040000-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ91444-4-44-44-4-4-4-4-4444i−4i4i−4i-444−4i4i-444−4i4i000000000000-400004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ92444-4-44-44-4-4-4-4-444−4i4i−4i4i-4444i−4i-4444i−4i000000000000-40000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-44-44-4-444400000000-44-400000002i2−2i22i2−2i22i2−2i22i2−2i2000004i−4i4i−4i000000002i2−2i22i2−2i200000000000000000022−2222−22000000000000000000000000000000000000000000000000
χ9444-44-44-4-444400000000-44-400000002i2−2i22i2−2i22i2−2i22i2−2i200000−4i4i−4i4i000000002i2−2i22i2−2i2000000000000000000−2222−2222000000000000000000000000000000000000000000000000
χ9544-44-44-4-444400000000-44-40000000−2i22i2−2i22i2−2i22i2−2i22i2000004i−4i4i−4i00000000−2i22i2−2i22i2000000000000000000−2222−2222000000000000000000000000000000000000000000000000
χ9644-44-44-4-444400000000-44-40000000−2i22i2−2i22i2−2i22i2−2i22i200000−4i4i−4i4i00000000−2i22i2−2i22i200000000000000000022−2222−22000000000000000000000000000000000000000000000000
χ9744-44-44-4-44-4-4000000004-4400000002i2−2i22i2−2i22i2−2i22i2−2i24-4-440000000000000−2i22i2−2i22i20000000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000
χ9844-44-44-4-44-4-4000000004-4400000002i2−2i22i2−2i22i2−2i22i2−2i2-444-40000000000000−2i22i2−2i22i2000000000000−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000
χ9944-44-44-4-44-4-4000000004-440000000−2i22i2−2i22i2−2i22i2−2i22i24-4-4400000000000002i2−2i22i2−2i2000000000000−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000
χ10044-44-44-4-44-4-4000000004-440000000−2i22i2−2i22i2−2i22i2−2i22i2-444-400000000000002i2−2i22i2−2i20000000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000
χ10144-44-4-444-40044004i−4i−4i4i000−4i4i-44-44i−4i-4-44444-4-40000000000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ10244-44-4-444-4004400−4i4i4i−4i0004i−4i-44-4−4i4i-4-44444-4-400000000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ10344-44-4-444-400-4-4004i−4i−4i4i0004i−4i4-44−4i4i0000000000000000000000000000000000000000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ10444-44-4-444-400-4-4004i−4i−4i4i0004i−4i4-44−4i4i000000000000000000000000000000000000000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ10544-44-4-444-400-4-400−4i4i4i−4i000−4i4i4-444i−4i0000000000000000000000000000000000000000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ10644-44-4-444-400-4-400−4i4i4i−4i000−4i4i4-444i−4i000000000000000000000000000000000000000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ10744-4-4444-4-44400000000-4-4400000002i2−2i2−2i22i22i2−2i2−2i22i2000004-4-44000000002i2−2i2−2i22i2000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ10844-4-4444-4-44400000000-4-4400000002i2−2i2−2i22i22i2−2i2−2i22i200000-444-4000000002i2−2i2−2i22i20000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ10944-4-4444-4-44400000000-4-440000000−2i22i22i2−2i2−2i22i22i2−2i2000004-4-4400000000−2i22i22i2−2i20000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ11044-4-4444-4-44400000000-4-440000000−2i22i22i2−2i2−2i22i22i2−2i200000-444-400000000−2i22i22i2−2i2000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ11144-4-4444-4-4-4-40000000044-400000002i2−2i2−2i22i22i2−2i2−2i22i244-4-40000000000000−2i22i22i2−2i20000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ11244-4-4444-4-4-4-40000000044-400000002i2−2i2−2i22i22i2−2i2−2i22i2-4-4440000000000000−2i22i22i2−2i2000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000
χ11344-4-4444-4-4-4-40000000044-40000000−2i22i22i2−2i2−2i22i22i2−2i244-4-400000000000002i2−2i2−2i22i2000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000
χ11444-4-4444-4-4-4-40000000044-40000000−2i22i22i2−2i2−2i22i22i2−2i2-4-44400000000000002i2−2i2−2i22i20000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ11544-4-44-4-44400440044-4-4000-4-4-4-4444-4-4-4-444440000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ11644-4-44-4-444004400-4-44400044-4-44-4-4-4-4-4-4444400000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ11744-4-44-4-44400-4-40044-4-40004444-4-4-40000000000000000000000000000000000000000000000000002-2-22-222-2-222-22-2-2200000000000000000000000000000000
χ11844-4-44-4-44400-4-40044-4-40004444-4-4-4000000000000000000000000000000000000000000000000000-222-22-2-222-2-22-222-200000000000000000000000000000000
χ11944-4-44-4-44400-4-400-4-444000-4-444-4440000000000000000000000000000000000000000000000000002-2-22-222-22-2-22-222-200000000000000000000000000000000
χ12044-4-44-4-44400-4-400-4-444000-4-444-444000000000000000000000000000000000000000000000000000-222-22-2-22-222-22-2-2200000000000000000000000000000000
χ12188888-8-8-8-8000000000000000000004i2−4i2−4i24i2−4i24i24i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288888-8-8-8-800000000000000000000−4i24i24i2−4i24i2−4i2−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ123888-8-8-88-88000000000000000000004i2−4i24i2−4i2−4i24i2−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ124888-8-8-88-8800000000000000000000−4i24i2−4i24i24i2−4i24i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12516-1600000008i2−8i28i2−8i28-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12616-1600000008i2−8i2−8i28i2-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12716-160000000−8i28i28i2−8i2-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12816-160000000−8i28i2−8i28i28-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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