Finite Group Databasebeta

← Group #94366

Character table — Group #94366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222222222444444444444444444448888888888888888161616161616161632323232
order1244222444888888881616161616161616444488881616161616161616161616163232323232323232323232323232323216161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ7111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111
χ8111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1
χ911-1-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-11-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−i
χ1011-1-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-11-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii
χ1111-1-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-11-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−ii
χ1211-1-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-11-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiii−ii−i
χ1311-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−iii−i
χ1411-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1i−i−ii
χ1511-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111i−i−ii
χ1611-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−iii−i
χ17222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222222-2-222-2-222222222-2-2-2-22-2-222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ192222222222-2-222-2-22200000000-2-2-2-2-222-200000000000022−2−222−2−222−2−222−2−2000000000000
χ202222222222-2-222-2-22200000000-2-2-2-2-222-2000000000000−2−222−2−222−2−222−2−222000000000000
χ212222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ2322222-2-22-2-20022002222−2−222−2−200000-2-202−22−222−2−222−2−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ2422222-2-22-2-20022002222−2−222−2−200000-2-202−22−222−2−222−2−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ2522222-2-22-2-200220022−2−222−2−22200000-2-20−22−22−2−222−2−222ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ2622222-2-22-2-200220022−2−222−2−22200000-2-20−22−22−2−222−2−222−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ2722222-2-22-2-200-2-200-2-222−2−222−2−2000002202−22−2−2−222−2−222ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ2822222-2-22-2-200-2-200-2-222−2−222−2−2000002202−22−2−2−222−2−222−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ2922222-2-22-2-200-2-200-2-2−2−222−2−22200000220−22−2222−2−222−2−2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ3022222-2-22-2-200-2-200-2-2−2−222−2−22200000220−22−2222−2−222−2−2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ312222-22-2-22-222002200222222220000-200-2-2-2-2-2000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ322222-22-2-22-222002200222222220000-200-2-2-2-2-2000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ332222-22-2-22-222002200-2-2-2-2-2-2-2-20000-200-222220000000000000000000000002−22−2−22−220000
χ342222-22-2-22-222002200-2-2-2-2-2-2-2-20000-200-22222000000000000000000000000−22−222−22−20000
χ3522-2-22-2-2-222-2-20022002222-2-2-2-20000200-222-2-2000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ3622-2-22-2-2-222-2-20022002222-2-2-2-20000200-222-2-2000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ3722-2-22-2-2-222-2-2002200-2-2-2-222220000200-2-2-2220000000000000000000000002−2−222−2−220000
χ3822-2-22-2-2-222-2-2002200-2-2-2-222220000200-2-2-222000000000000000000000000−222−2−222−20000
χ3922-2-2-22-22-22002200-2-222−2−2−2−22200000-220−222−2−2−22222−2−2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ4022-2-2-22-22-22002200-2-222−2−2−2−22200000-220−222−2−2−22222−2−2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ4122-2-2-22-22-22002200-2-2−2−22222−2−200000-2202−2−2222−2−2−2−222ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ4222-2-2-22-22-22002200-2-2−2−22222−2−200000-2202−2−2222−2−2−2−222−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ4322-2-2-22-22-2200-2-2002222−2−2−2−222000002-20−222−222−2−2−2−222ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ4422-2-2-22-22-2200-2-2002222−2−2−2−222000002-20−222−222−2−2−2−222−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ4522-2-2-22-22-2200-2-20022−2−22222−2−2000002-202−2−22−2−22222−2−2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4622-2-2-22-22-2200-2-20022−2−22222−2−2000002-202−2−22−2−22222−2−2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4722-2-2-2-2222-22222-2-2-2-200000000-2-22222-2-200000000000022−2−2−2−22222−2−2−2−222000000000000
χ4822-2-2-2-2222-22222-2-2-2-200000000-2-22222-2-2000000000000−2−22222−2−2−2−22222−2−2000000000000
χ4922-2-2-2-2222-222-2-2-2-2220000000022-2-22-22-2000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ5022-2-2-2-2222-222-2-2-2-2220000000022-2-22-22-2000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ5122-2-2-2-2222-2-2-22222-2-22222-2-2-2-222-2-2-22-22-2-222-2-2-2-222220000000000000000000000000000
χ5222-2-2-2-2222-2-2-2-2-22222-2-2-2-22222-2-222-2-22222-2-2-2-2-2-222220000000000000000000000000000
χ534444-44-4-44-4-4-400-4-40000000000000040040000000000000000000000000000000000000000
χ544444-4-44-4-44000000002222−22−222222−22−2200000000−2222−2222000000000000000000000000000000000000
χ554444-4-44-4-4400000000−22−222222−22−2222220000000022−2222−22000000000000000000000000000000000000
χ5644-4-4444-4-4-4000000002222−22−22−22−2222220000000022−22−2222000000000000000000000000000000000000
χ5744-4-4444-4-4-400000000−22−2222222222−22−2200000000−222222−22000000000000000000000000000000000000
χ5844-4-44-4-4-4444400-4-400000000000000-40040000000000000000000000000000000000000000
χ594-44i−4i0000002i2−2i222−2222−222i2−2i22ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ72-22i−2i00000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ70000000000000000000000000000
χ604-44i−4i0000002i2−2i222−2222−222i2−2i2−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ72-22i−2i00000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ70000000000000000000000000000
χ614-44i−4i0000002i2−2i2−222222−22−2i22i22ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7-22−2i2i00000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ70000000000000000000000000000
χ624-44i−4i0000002i2−2i2−222222−22−2i22i2−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ7-22−2i2i00000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ70000000000000000000000000000
χ634-44i−4i000000−2i22i222−22−22222i2−2i22ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ5-22−2i2i00000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ70000000000000000000000000000
χ644-44i−4i000000−2i22i222−22−22222i2−2i2−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5-22−2i2i00000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ70000000000000000000000000000
χ654-44i−4i000000−2i22i2−2222−2222−2i22i22ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ52-22i−2i00000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ70000000000000000000000000000
χ664-44i−4i000000−2i22i2−2222−2222−2i22i2−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ52-22i−2i00000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ70000000000000000000000000000
χ674-4−4i4i0000002i2−2i222−22−2222−2i22i22ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5-222i−2i00000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ70000000000000000000000000000
χ684-4−4i4i0000002i2−2i222−22−2222−2i22i2−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ5-222i−2i00000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ70000000000000000000000000000
χ694-4−4i4i0000002i2−2i2−2222−22222i2−2i22ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ52-2−2i2i00000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ70000000000000000000000000000
χ704-4−4i4i0000002i2−2i2−2222−22222i2−2i2−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ52-2−2i2i00000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ70000000000000000000000000000
χ714-4−4i4i000000−2i22i222−2222−22−2i22i22ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ72-2−2i2i00000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ70000000000000000000000000000
χ724-4−4i4i000000−2i22i222−2222−22−2i22i2−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ72-2−2i2i00000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ70000000000000000000000000000
χ734-4−4i4i000000−2i22i2−222222−222i2−2i22ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ7-222i−2i00000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ70000000000000000000000000000
χ744-4−4i4i000000−2i22i2−222222−222i2−2i2−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7-222i−2i00000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ70000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.