Finite Group Databasebeta

← Group #192607

Character table — Group #192607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882244444488888888442222222244444444444444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1111111111111111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111-1-11-1-111-11-1-1-11-1ii−i−i11-1-111111-1-1-1-11-1i−iii−i−iii−i−i11-1-1i−i111-1-11-1-111-11-1-1-11-1ii−i−i11-1-111111-1-1-1-11-1i−iii−i−iii−i−i11-1-1i−i
χ10111-1-11-1-111-11-1-1-11-1ii−i−i11-1-11-1-1-1-111111-1i−iii−i−i−i−iii-1-111−ii111-1-11-1-111-11-1-1-11-1ii−i−i11-1-11-1-1-1-111111-1i−iii−i−i−i−iii-1-111−ii
χ11111-1-11-1-111-11-1-1-11-1ii−i−i-1-11111111-1-1-1-1-11i−i−i−iiiii−i−i-1-111−ii111-1-11-1-111-11-1-1-11-1ii−i−i-1-11111111-1-1-1-1-11i−i−i−iiiii−i−i-1-111−ii
χ12111-1-11-1-111-11-1-1-11-1ii−i−i-1-1111-1-1-1-11111-11i−i−i−iii−i−iii11-1-1i−i111-1-11-1-111-11-1-1-11-1ii−i−i-1-1111-1-1-1-11111-11i−i−i−iii−i−iii11-1-1i−i
χ13111-1-11-1-111-11-1-1-11-1−i−iii11-1-111111-1-1-1-11-1−ii−i−iii−i−iii11-1-1−ii111-1-11-1-111-11-1-1-11-1−i−iii11-1-111111-1-1-1-11-1−ii−i−iii−i−iii11-1-1−ii
χ14111-1-11-1-111-11-1-1-11-1−i−iii11-1-11-1-1-1-111111-1−ii−i−iiiii−i−i-1-111i−i111-1-11-1-111-11-1-1-11-1−i−iii11-1-11-1-1-1-111111-1−ii−i−iiiii−i−i-1-111i−i
χ15111-1-11-1-111-11-1-1-11-1−i−iii-1-11111111-1-1-1-1-11−iiii−i−i−i−iii-1-111i−i111-1-11-1-111-11-1-1-11-1−i−iii-1-11111111-1-1-1-1-11−iiii−i−i−i−iii-1-111i−i
χ16111-1-11-1-111-11-1-1-11-1−i−iii-1-1111-1-1-1-11111-11−iiii−i−iii−i−i11-1-1−ii111-1-11-1-111-11-1-1-11-1−i−iii-1-1111-1-1-1-11111-11−iiii−i−iii−i−i11-1-1−ii
χ1722222222222-2-2-22-2-200002222-200000000-2-2000000000000000022222222222-2-2-22-2-200002222-200000000-2-20000000000000000
χ1822222222222-2-2-22-2-20000-2-2-2-2-20000000022000000000000000022222222222-2-2-22-2-20000-2-2-2-2-200000000220000000000000000
χ1922222222-2-2-2222-22-222220000-20000000000-2-20000000000000022222222-2-2-2222-22-222220000-20000000000-2-200000000000000
χ2022222222-2-2-2222-22-2-2-2-2-20000-20000000000220000000000000022222222-2-2-2222-22-2-2-2-2-20000-200000000002200000000000000
χ2122222222-2-2-2-2-2-2-2-220000000020000000000002-22-2000000000022222222-2-2-2-2-2-2-2-220000000020000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-22000000002000000000000-22-22000000000022222222-2-2-2-2-2-2-2-22000000002000000000000-22-220000000000
χ23222-2-22-2-222-2-222-2-22000022-2-2-200000000-220000000000000000222-2-22-2-222-2-222-2-22000022-2-2-200000000-220000000000000000
χ24222-2-22-2-222-2-222-2-220000-2-222-2000000002-20000000000000000222-2-22-2-222-2-222-2-220000-2-222-2000000002-20000000000000000
χ25222-2-22-2-2-2-222-2-22222i2i−2i−2i0000-20000000000−2i2i00000000000000222-2-22-2-2-2-222-2-22222i2i−2i−2i0000-20000000000−2i2i00000000000000
χ26222-2-22-2-2-2-222-2-2222−2i−2i2i2i0000-200000000002i−2i00000000000000222-2-22-2-2-2-222-2-2222−2i−2i2i2i0000-200000000002i−2i00000000000000
χ27222-2-22-2-2-2-22-2222-2-20000000020000000000002i−2i−2i2i0000000000222-2-22-2-2-2-22-2222-2-20000000020000000000002i−2i−2i2i0000000000
χ28222-2-22-2-2-2-22-2222-2-2000000002000000000000−2i2i2i−2i0000000000222-2-22-2-2-2-22-2222-2-2000000002000000000000−2i2i2i−2i0000000000
χ2922-222-2-2-22-2-200020000002i−2i2i−2i022−2−222−2−2000000000000i2−i2i2−i20022-222-2-2-22-2-200020000002i−2i2i−2i022−2−222−2−2000000000000i2−i2i2−i200
χ3022-222-2-2-22-2-200020000002i−2i2i−2i0−2−222−2−222000000000000−i2i2−i2i20022-222-2-2-22-2-200020000002i−2i2i−2i0−2−222−2−222000000000000−i2i2−i2i200
χ3122-222-2-2-22-2-20002000000−2i2i−2i2i022−2−222−2−2000000000000−i2i2−i2i20022-222-2-2-22-2-20002000000−2i2i−2i2i022−2−222−2−2000000000000−i2i2−i2i200
χ3222-222-2-2-22-2-20002000000−2i2i−2i2i0−2−222−2−222000000000000i2−i2i2−i20022-222-2-2-22-2-20002000000−2i2i−2i2i0−2−222−2−222000000000000i2−i2i2−i200
χ3322-2-2-2-2222-22000-20000002i−2i−2i2i022−2−2−2−222000000000000i2−i2−i2i20022-2-2-2-2222-22000-20000002i−2i−2i2i022−2−2−2−222000000000000i2−i2−i2i200
χ3422-2-2-2-2222-22000-20000002i−2i−2i2i0−2−22222−2−2000000000000−i2i2i2−i20022-2-2-2-2222-22000-20000002i−2i−2i2i0−2−22222−2−2000000000000−i2i2i2−i200
χ3522-2-2-2-2222-22000-2000000−2i2i2i−2i022−2−2−2−222000000000000−i2i2i2−i20022-2-2-2-2222-22000-2000000−2i2i2i−2i022−2−2−2−222000000000000−i2i2i2−i200
χ3622-2-2-2-2222-22000-2000000−2i2i2i−2i0−2−22222−2−2000000000000i2−i2−i2i20022-2-2-2-2222-22000-2000000−2i2i2i−2i0−2−22222−2−2000000000000i2−i2−i2i200
χ372-2-22-222-200022-20-202-22-200000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i20000002-2-22-222-200022-20-202-22-200000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2000000
χ382-2-22-222-200022-20-202-22-200000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i20000002-2-22-222-200022-20-202-22-200000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2000000
χ392-2-22-222-200022-20-20-22-2200000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i20000002-2-22-222-200022-20-20-22-2200000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i2000000
χ402-2-22-222-200022-20-20-22-2200000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i20000002-2-22-222-200022-20-20-22-2200000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i2000000
χ412-2-2-222-220002-220-202i−2i−2i2i00000i2−i2i2−i2−i2i2−i2i200000000−222−20000002-2-2-222-220002-220-202i−2i−2i2i00000i2−i2i2−i2−i2i2−i2i200000000−222−2000000
χ422-2-2-222-220002-220-202i−2i−2i2i00000−i2i2−i2i2i2−i2i2−i2000000002−2−220000002-2-2-222-220002-220-202i−2i−2i2i00000−i2i2−i2i2i2−i2i2−i2000000002−2−22000000
χ432-2-2-222-220002-220-20−2i2i2i−2i00000i2−i2i2−i2−i2i2−i2i2000000002−2−220000002-2-2-222-220002-220-20−2i2i2i−2i00000i2−i2i2−i2−i2i2−i2i2000000002−2−22000000
χ442-2-2-222-220002-220-20−2i2i2i−2i00000−i2i2−i2i2i2−i2i2−i200000000−222−20000002-2-2-222-220002-220-20−2i2i2i−2i00000−i2i2−i2i2i2−i2i2−i200000000−222−2000000
χ4544-444-4-4-4-444000-4000000000000000000000000000000000000044-444-4-4-4-444000-40000000000000000000000000000000000000
χ4644-4-4-4-444-44-40004000000000000000000000000000000000000044-4-4-4-444-44-400040000000000000000000000000000000000000
χ474-444-4-4-440000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000004-444-4-4-440000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ484-444-4-4-44000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000004-444-4-4-44000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ494-44-44-44-40000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000004-44-44-44-40000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ504-44-44-44-4000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000004-44-44-44-4000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ514-4-44-444-4000-4-44040000000000000000000000000000000000004-4-44-444-4000-4-4404000000000000000000000000000000000000
χ524-4-4-444-44000-44-4040000000000000000000000000000000000004-4-4-444-44000-44-404000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111
χ55111111111111111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111
χ56111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111-1-111111111-1-1-1-1-1-1
χ5711111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ5811111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1
χ5911111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ6011111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111-1-11-1-111-11-1-1-11-1ii−i−i11-1-111111-1-1-1-11-1i−iii−i−iii−i−i11-1-1i−i-1-1-111-111-1-11-1111-11−i−iii-1-111-1-1-1-1-11111-11−ii−i−iii−i−iii-1-111−ii
χ62111-1-11-1-111-11-1-1-11-1ii−i−i11-1-11-1-1-1-111111-1i−iii−i−i−i−iii-1-111−ii-1-1-111-111-1-11-1111-11−i−iii-1-111-11111-1-1-1-1-11−ii−i−iiiii−i−i11-1-1i−i
χ63111-1-11-1-111-11-1-1-11-1ii−i−i-1-11111111-1-1-1-1-11i−i−i−iiiii−i−i-1-111−ii-1-1-111-111-1-11-1111-11−i−iii11-1-1-1-1-1-1-111111-1−iiii−i−i−i−iii11-1-1i−i
χ64111-1-11-1-111-11-1-1-11-1ii−i−i-1-1111-1-1-1-11111-11i−i−i−iii−i−iii11-1-1i−i-1-1-111-111-1-11-1111-11−i−iii11-1-1-11111-1-1-1-11-1−iiii−i−iii−i−i-1-111−ii
χ65111-1-11-1-111-11-1-1-11-1−i−iii11-1-111111-1-1-1-11-1−ii−i−iii−i−iii11-1-1−ii-1-1-111-111-1-11-1111-11ii−i−i-1-111-1-1-1-1-11111-11i−iii−i−iii−i−i-1-111i−i
χ66111-1-11-1-111-11-1-1-11-1−i−iii11-1-11-1-1-1-111111-1−ii−i−iiiii−i−i-1-111i−i-1-1-111-111-1-11-1111-11ii−i−i-1-111-11111-1-1-1-1-11i−iii−i−i−i−iii11-1-1−ii
χ67111-1-11-1-111-11-1-1-11-1−i−iii-1-11111111-1-1-1-1-11−iiii−i−i−i−iii-1-111i−i-1-1-111-111-1-11-1111-11ii−i−i11-1-1-1-1-1-1-111111-1i−i−i−iiiii−i−i11-1-1−ii
χ68111-1-11-1-111-11-1-1-11-1−i−iii-1-1111-1-1-1-11111-11−iiii−i−iii−i−i11-1-1−ii-1-1-111-111-1-11-1111-11ii−i−i11-1-1-11111-1-1-1-11-1i−i−i−iii−i−iii-1-111i−i
χ6922222222222-2-2-22-2-200002222-200000000-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2222-2220000-2-2-2-2200000000220000000000000000
χ7022222222222-2-2-22-2-20000-2-2-2-2-200000000220000000000000000-2-2-2-2-2-2-2-2-2-2-2222-22200002222200000000-2-20000000000000000
χ7122222222-2-2-2222-22-222220000-20000000000-2-200000000000000-2-2-2-2-2-2-2-2222-2-2-22-22-2-2-2-20000200000000002200000000000000
χ7222222222-2-2-2222-22-2-2-2-2-20000-200000000002200000000000000-2-2-2-2-2-2-2-2222-2-2-22-222222000020000000000-2-200000000000000
χ7322222222-2-2-2-2-2-2-2-220000000020000000000002-22-20000000000-2-2-2-2-2-2-2-222222222-200000000-2000000000000-22-220000000000
χ7422222222-2-2-2-2-2-2-2-22000000002000000000000-22-220000000000-2-2-2-2-2-2-2-222222222-200000000-20000000000002-22-20000000000
χ75222-2-22-2-222-2-222-2-22000022-2-2-200000000-220000000000000000-2-2-222-222-2-222-2-222-20000-2-2222000000002-20000000000000000
χ76222-2-22-2-222-2-222-2-220000-2-222-2000000002-20000000000000000-2-2-222-222-2-222-2-222-2000022-2-2200000000-220000000000000000
χ77222-2-22-2-2-2-222-2-22222i2i−2i−2i0000-20000000000−2i2i00000000000000-2-2-222-22222-2-222-2-2-2−2i−2i2i2i0000200000000002i−2i00000000000000
χ78222-2-22-2-2-2-222-2-2222−2i−2i2i2i0000-200000000002i−2i00000000000000-2-2-222-22222-2-222-2-2-22i2i−2i−2i000020000000000−2i2i00000000000000
χ79222-2-22-2-2-2-22-2222-2-20000000020000000000002i−2i−2i2i0000000000-2-2-222-22222-22-2-2-22200000000-2000000000000−2i2i2i−2i0000000000
χ80222-2-22-2-2-2-22-2222-2-2000000002000000000000−2i2i2i−2i0000000000-2-2-222-22222-22-2-2-22200000000-20000000000002i−2i−2i2i0000000000
χ8122-222-2-2-22-2-200020000002i−2i2i−2i022−2−222−2−2000000000000i2−i2i2−i200-2-22-2-2222-222000-2000000−2i2i−2i2i0−2−222−2−222000000000000−i2i2−i2i200
χ8222-222-2-2-22-2-200020000002i−2i2i−2i0−2−222−2−222000000000000−i2i2−i2i200-2-22-2-2222-222000-2000000−2i2i−2i2i022−2−222−2−2000000000000i2−i2i2−i200
χ8322-222-2-2-22-2-20002000000−2i2i−2i2i022−2−222−2−2000000000000−i2i2−i2i200-2-22-2-2222-222000-20000002i−2i2i−2i0−2−222−2−222000000000000i2−i2i2−i200
χ8422-222-2-2-22-2-20002000000−2i2i−2i2i0−2−222−2−222000000000000i2−i2i2−i200-2-22-2-2222-222000-20000002i−2i2i−2i022−2−222−2−2000000000000−i2i2−i2i200
χ8522-2-2-2-2222-22000-20000002i−2i−2i2i022−2−2−2−222000000000000i2−i2−i2i200-2-22222-2-2-22-20002000000−2i2i2i−2i0−2−22222−2−2000000000000−i2i2i2−i200
χ8622-2-2-2-2222-22000-20000002i−2i−2i2i0−2−22222−2−2000000000000−i2i2i2−i200-2-22222-2-2-22-20002000000−2i2i2i−2i022−2−2−2−222000000000000i2−i2−i2i200
χ8722-2-2-2-2222-22000-2000000−2i2i2i−2i022−2−2−2−222000000000000−i2i2i2−i200-2-22222-2-2-22-200020000002i−2i−2i2i0−2−22222−2−2000000000000i2−i2−i2i200
χ8822-2-2-2-2222-22000-2000000−2i2i2i−2i0−2−22222−2−2000000000000i2−i2−i2i200-2-22222-2-2-22-200020000002i−2i−2i2i022−2−2−2−222000000000000−i2i2i2−i200
χ892-2-22-222-200022-20-202-22-200000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2000000-222-22-2-22000-2-22020-22-2200000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2000000
χ902-2-22-222-200022-20-202-22-200000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2000000-222-22-2-22000-2-22020-22-2200000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2000000
χ912-2-22-222-200022-20-20-22-2200000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i2000000-222-22-2-22000-2-220202-22-200000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i2000000
χ922-2-22-222-200022-20-20-22-2200000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i2000000-222-22-2-22000-2-220202-22-200000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i2000000
χ932-2-2-222-220002-220-202i−2i−2i2i00000i2−i2i2−i2−i2i2−i2i200000000−222−2000000-2222-2-22-2000-22-2020−2i2i2i−2i00000−i2i2−i2i2i2−i2i2−i2000000002−2−22000000
χ942-2-2-222-220002-220-202i−2i−2i2i00000−i2i2−i2i2i2−i2i2−i2000000002−2−22000000-2222-2-22-2000-22-2020−2i2i2i−2i00000i2−i2i2−i2−i2i2−i2i200000000−222−2000000
χ952-2-2-222-220002-220-20−2i2i2i−2i00000i2−i2i2−i2−i2i2−i2i2000000002−2−22000000-2222-2-22-2000-22-20202i−2i−2i2i00000−i2i2−i2i2i2−i2i2−i200000000−222−2000000
χ962-2-2-222-220002-220-20−2i2i2i−2i00000−i2i2−i2i2i2−i2i2−i200000000−222−2000000-2222-2-22-2000-22-20202i−2i−2i2i00000i2−i2i2−i2−i2i2−i2i2000000002−2−22000000
χ9744-444-4-4-4-444000-40000000000000000000000000000000000000-4-44-4-44444-4-400040000000000000000000000000000000000000
χ9844-4-4-4-444-44-400040000000000000000000000000000000000000-4-44444-4-44-44000-40000000000000000000000000000000000000
χ994-444-4-4-440000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000-44-4-4444-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ1004-444-4-4-44000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000-44-4-4444-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ1014-44-44-44-40000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000-44-44-44-44000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ1024-44-44-44-4000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000-44-44-44-440000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ1034-4-44-444-4000-4-4404000000000000000000000000000000000000-444-44-4-4400044-40-4000000000000000000000000000000000000
χ1044-4-4-444-44000-44-404000000000000000000000000000000000000-4444-4-44-40004-440-4000000000000000000000000000000000000

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