Finite Group Databasebeta

← Group #13159039

Character table — Group #13159039

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441212121224242424242424242424242424242424272727273636363654545454545472727272
order12442333334444466666121212121212121212123333666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121224886666121212122424242424242424888824888888886122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ51111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ61111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ71111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1
χ81111111111-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111
χ911-1-1-111111ii−i−i111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−ii−i11-1-11-1i−i
χ1011-1-1-111111ii−i−i111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-11−ii−ii-1-111-11−ii
χ1111-1-1-111111ii−i−i111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiiiii−i−i-11−iii−i11-1-1-11−ii
χ1211-1-1-111111ii−i−i111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-1-1-11111−i−i−i−iiiii−i−iii1-1i−i−ii-1-1111-1i−i
χ1311-1-1-111111−i−iii111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiiiii−i−i-11i−ii−i-1-111-11i−i
χ1411-1-1-111111−i−iii111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii−ii11-1-11-1−ii
χ1511-1-1-111111−i−iii111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−iii−i−i1-1−iii−i-1-1111-1−ii
χ1611-1-1-111111−i−iii111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiii-11i−i-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i−ii11-1-1-11i−i
χ17222222222-1222222222-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222000000-1-1-1-1
χ18222222222-1222222222-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-20000001111
χ19222222222-1-2-2-2-222222-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-211111111111111111100000000000000000000000022-2-2000000-1-111
χ20222222222-1-2-2-2-222222-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111000000000000000000000000-2-22200000011-1-1
χ21222222-1-1-12222222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-1000000000000000000
χ22222222-1-1-12222222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111-2111-2111-2111000000000000000000
χ23222222-1-1-12-2-2-2-222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-211111111111122-2-22-1-1-12-1-1-1-2111-2111000000000000000000
χ24222222-1-1-12-2-2-2-222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-2111111111111-2-222-2111-21112-1-1-12-1-1-1000000000000000000
χ2522222-12-1-1222222-12-1-12-1-122-1-1-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1000000000000000000
χ2622222-12-1-1222222-12-1-12-1-122-1-1-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21-2111-2111-2111-211000000000000000000
χ2722222-12-1-12-2-2-2-22-12-1-12-1-122-1-1-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-21111111111-2-21111-2-21111-2-2-2-21111111122-2-2-12-1-1-12-1-11-2111-211000000000000000000
χ2822222-12-1-12-2-2-2-22-12-1-12-1-122-1-1-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-21111111111-2-21111-2-21111-2-2-2-211111111-2-2221-2111-211-12-1-1-12-1-1000000000000000000
χ2922222-1-12-1222222-1-12-12-1-1-1-122-1-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000
χ3022222-1-12-1222222-1-12-12-1-1-1-122-1-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2111-2111-2111-21000000000000000000
χ3122222-1-12-12-2-2-2-22-1-12-12-1-1-1-122-1-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-11111-2-211-2-211111111-2-2-2-211111111-2-211-2-211111111-2-2-2-2111122-2-2-1-12-1-1-12-111-2111-21000000000000000000
χ3222222-1-12-12-2-2-2-22-1-12-12-1-1-1-122-1-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-11111-2-211-2-211111111-2-2-2-211111111-2-211-2-211111111-2-2-2-21111-2-22211-2111-21-1-12-1-1-12-1000000000000000000
χ3322222-1-1-12222222-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ3422222-1-1-12222222-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111-2111-2111-2111-2000000000000000000
χ3522222-1-1-122-2-2-2-22-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2-2-2111111111111-2-2-2-2111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-12-1-1-12111-2111-2000000000000000000
χ3622222-1-1-122-2-2-2-22-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2-2-2111111111111-2-2-2-2111111-2-2-2-2111111111111-2-2-2-2-2-222111-2111-2-1-1-12-1-1-12000000000000000000
χ372222-2222220000-22222222222222222222-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000000022220000-2-200000000
χ382222-2222220000-22222222222222222222-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200002200000000
χ3922-2-22222220000-222222-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000002i2i−2i−2i0000−2i2i00000000
χ4022-2-22222220000-222222-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000−2i−2i2i2i00002i−2i00000000
χ4122-2-2-22222-12i2i−2i−2i22222-1-2-2-2-2-2-2-2-211-1-1-1-1-2-2-2-21-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1111111112i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiiiii0000000000000000000000002-22i−2i000000-11−ii
χ4222-2-2-22222-12i2i−2i−2i22222-1-2-2-2-2-2-2-2-211-1-1-1-1-2-2-2-21-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1111111112i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiiiii000000000000000000000000-22−2i2i0000001-1i−i
χ4322-2-2-22222-1−2i−2i2i2i22222-1-2-2-2-2-2-2-2-211-1-1-1-1-2-2-2-21-1-1-1-1111111112222-1-1-1-1-1-1-1-1-111111111−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000000000002-2−2i2i000000-11i−i
χ4422-2-2-22222-1−2i−2i2i2i22222-1-2-2-2-2-2-2-2-211-1-1-1-1-2-2-2-21-1-1-1-1111111112222-1-1-1-1-1-1-1-1-111111111−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000000000-222i−2i0000001-1−ii
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χ1524-4−4i4i0-2-24-24−2+2i2−2i−2−2i2+2i022-42-42i−2i2i−2i−4i4i2i−2i−4i4i-2-24-20000022-420000000000000000000002i−2i2i−2i−4i4i2i−2i1−i−1+i1−i−1+i−2+2i2−2i1−i−1+i−2+2i2−2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2+2i−2+2i2−2i2−2i1−i1−i−1+i−1+i1+i−1−i1+i−1−i−2−2i2+2i1+i−1−i−2−2i2+2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−2−2i−2−2i2+2i2+2i1+i1+i−1−i−1−i00000000000000000000000000000000000000
χ1534-4−4i4i0-2-24-2-22−2i−2+2i2+2i−2−2i022-4222i−2i2i−2i−4i4i2i−2i2i−2i11-2100000-1-12-13-3-33003-300000−3i3i3i−3i00−3i3i−ii−ii2i−2i−ii−1+i1−i−1+i1−i2−2i−2+2i−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i−1−2i2+i1+2i−2−i−1+i−1+i1−i1−i2+i−1−2i−2−i1+2i−1−i1+i−1−i1+i2+2i−2−2i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i2−i−1+2i−2+i1−2i−1−i−1−i1+i1+i−1+2i2−i1−2i−2+i00000000000000000000000000000000000000
χ1544-4−4i4i0-2-24-2-22−2i−2+2i2+2i−2−2i022-4222i−2i2i−2i−4i4i2i−2i2i−2i11-2100000-1-12-1-333-300-33000003i−3i−3i3i003i−3i−ii−ii2i−2i−ii−1+i1−i−1+i1−i2−2i−2+2i−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i2+i−1−2i−2−i1+2i−1+i−1+i1−i1−i−1−2i2+i1+2i−2−i−1−i1+i−1−i1+i2+2i−2−2i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i−1+2i2−i1−2i−2+i−1−i−1−i1+i1+i2−i−1+2i−2+i1−2i00000000000000000000000000000000000000
χ1554-4−4i4i0-2-24-2-2−2+2i2−2i−2−2i2+2i022-4222i−2i2i−2i−4i4i2i−2i2i−2i11-2100000-1-12-13-3-33003-300000−3i3i3i−3i00−3i3i−ii−ii2i−2i−ii1−i−1+i1−i−1+i−2+2i2−2i1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+2i−2−i−1−2i2+i1−i1−i−1+i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i−2−2i2+2i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i−2+i1−2i2−i−1+2i1+i1+i−1−i−1−i1−2i−2+i−1+2i2−i00000000000000000000000000000000000000
χ1564-4−4i4i0-2-24-2-2−2+2i2−2i−2−2i2+2i022-4222i−2i2i−2i−4i4i2i−2i2i−2i11-2100000-1-12-1-333-300-33000003i−3i−3i3i003i−3i−ii−ii2i−2i−ii1−i−1+i1−i−1+i−2+2i2−2i1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i−2−i1+2i2+i−1−2i1−i1−i−1+i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i−2−2i2+2i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i1−2i−2+i−1+2i2−i1+i1+i−1−i−1−i−2+i1−2i2−i−1+2i00000000000000000000000000000000000000
χ1574-4−4i4i0-2-2-2442−2i−2+2i2+2i−2−2i0222-4-42i−2i2i−2i2i−2i−4i4i−4i4i-2-2-2400000222-40000000000000000000002i−2i2i−2i2i−2i−4i4i−1+i1−i−1+i1−i−1+i1−i2−2i−2+2i2−2i−2+2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2−2i2−2i−2+2i−2+2i−1−i1+i−1−i1+i−1−i1+i2+2i−2−2i2+2i−2−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i2+2i2+2i−2−2i−2−2i00000000000000000000000000000000000000
χ1584-4−4i4i0-2-2-244−2+2i2−2i−2−2i2+2i0222-4-42i−2i2i−2i2i−2i−4i4i−4i4i-2-2-2400000222-40000000000000000000002i−2i2i−2i2i−2i−4i4i1−i−1+i1−i−1+i1−i−1+i−2+2i2−2i−2+2i2−2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2+2i−2+2i2−2i2−2i1+i−1−i1+i−1−i1+i−1−i−2−2i2+2i−2−2i2+2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−2−2i−2−2i2+2i2+2i00000000000000000000000000000000000000
χ1594-4−4i4i0-2-2-24-22−2i−2+2i2+2i−2−2i0222-422i−2i2i−2i2i−2i−4i4i2i−2i111-200000-1-1-123-33-3-330000000−3i3i−3i3i3i−3i00−ii−ii−ii2i−2i−1+i1−i−1+i1−i−1+i1−i2−2i−2+2i−1+i1−i2+i−1−2i−2−i1+2i2+i−1−2i−2−i1+2i−1−2i2+i1+2i−2−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i1+i2+2i−2−2i−1−i1+i−1+2i2−i1−2i−2+i−1+2i2−i1−2i−2+i2−i−1+2i−2+i1−2i−1−i−1−i1+i1+i00000000000000000000000000000000000000
χ1604-4−4i4i0-2-2-24-22−2i−2+2i2+2i−2−2i0222-422i−2i2i−2i2i−2i−4i4i2i−2i111-200000-1-1-12-33-333-300000003i−3i3i−3i−3i3i00−ii−ii−ii2i−2i−1+i1−i−1+i1−i−1+i1−i2−2i−2+2i−1+i1−i−1−2i2+i1+2i−2−i−1−2i2+i1+2i−2−i2+i−1−2i−2−i1+2i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i1+i2+2i−2−2i−1−i1+i2−i−1+2i−2+i1−2i2−i−1+2i−2+i1−2i−1+2i2−i1−2i−2+i−1−i−1−i1+i1+i00000000000000000000000000000000000000
χ1614-4−4i4i0-2-2-24-2−2+2i2−2i−2−2i2+2i0222-422i−2i2i−2i2i−2i−4i4i2i−2i111-200000-1-1-123-33-3-330000000−3i3i−3i3i3i−3i00−ii−ii−ii2i−2i1−i−1+i1−i−1+i1−i−1+i−2+2i2−2i1−i−1+i−2−i1+2i2+i−1−2i−2−i1+2i2+i−1−2i1+2i−2−i−1−2i2+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i−1−i−2−2i2+2i1+i−1−i1−2i−2+i−1+2i2−i1−2i−2+i−1+2i2−i−2+i1−2i2−i−1+2i1+i1+i−1−i−1−i00000000000000000000000000000000000000
χ1624-4−4i4i0-2-2-24-2−2+2i2−2i−2−2i2+2i0222-422i−2i2i−2i2i−2i−4i4i2i−2i111-200000-1-1-12-33-333-300000003i−3i3i−3i−3i3i00−ii−ii−ii2i−2i1−i−1+i1−i−1+i1−i−1+i−2+2i2−2i1−i−1+i1+2i−2−i−1−2i2+i1+2i−2−i−1−2i2+i−2−i1+2i2+i−1−2i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i−1−i−2−2i2+2i1+i−1−i−2+i1−2i2−i−1+2i−2+i1−2i2−i−1+2i1−2i−2+i−1+2i2−i1+i1+i−1−i−1−i00000000000000000000000000000000000000

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