Finite Group Databasebeta

← Group #10591597

Character table — Group #10591597

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order12223344666666344666121212121212121244121212121212121212121212222666666882424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-111111-1-1-1-111111111-1-111-1-1-1-11-1-111-1-1-1-1111111-1-1-111-1
χ6111111111111111-1-111111-1-1-1-111111111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-11
χ8111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1
χ9222222-2-2222222200222-2-20000-2-222222200-2-20000-200-2-20000000000000000
χ10222222-2-2222222200222-2-20000-2-2-2-2-2-2-2-200-2-20000200220000000000000000
χ1122222-12222-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1000000000000
χ1222222-12222-1-1-12-122-1-1-1-1-1-1-1-1-122-2-2111122-1-1-1-1-1-1-2-2-2111111000000000000
χ1322222-12222-1-1-12-1-2-2-1-1-1-1-111112222-1-1-1-1-2-2-1-111112-2-2-1-11111000000000000
χ1422222-12222-1-1-12-1-2-2-1-1-1-1-1111122-2-21111-2-2-1-11111-22211-1-1-1-1000000000000
χ1522222-1-2-222-1-1-12-100-1-1-111−i3−i3i3i3-2-222-1-1-1-10011−i3−i3i3i3-20011−i3−i3i3i3000000000000
χ1622222-1-2-222-1-1-12-100-1-1-111−i3−i3i3i3-2-2-2-211110011−i3−i3i3i3200-1-1i3i3−i3−i3000000000000
χ1722222-1-2-222-1-1-12-100-1-1-111i3i3−i3−i3-2-222-1-1-1-10011i3i3−i3−i3-20011i3i3−i3−i3000000000000
χ1822222-1-2-222-1-1-12-100-1-1-111i3i3−i3−i3-2-2-2-211110011i3i3−i3−i3200-1-1−i3−i3i3i3000000000000
χ192222-1222-1-1222-1-122-1-1-1222222-1-1000000-1-1-1-1-1-1-1-100000000022-1-1-1-12-1-1000
χ202222-1222-1-1222-1-122-1-1-1222222-1-1000000-1-1-1-1-1-1-1-1000000000-2-21111-211000
χ212222-1222-1-1222-1-1-2-2-1-1-122-2-2-2-2-1-100000011-1-1111100000000022-1-1-1-1-211000
χ222222-1222-1-1222-1-1-2-2-1-1-122-2-2-2-2-1-100000011-1-11111000000000-2-211112-1-1000
χ232-22-2222-2-2-2-2-22222-2-2-222-22-22-2-220000002-22-22-22-2000000000000000000000
χ242-22-2222-2-2-2-2-2222-22-2-222-2-22-22-22000000-222-2-22-22000000000000000000000
χ252-22-222-22-2-2-2-222200-2-22-2200002-200000000-22000002-2002-22-2000000000000
χ262-22-222-22-2-2-2-222200-2-22-2200002-200000000-2200000-2200-22-22000000000000
χ272-22-22-12-2-2-211-12-12-211-1-11-11-11-2200−i3−i3i3i32-2-11-11-11000−i3i3−i3i3i3−i3000000000000
χ282-22-22-12-2-2-211-12-12-211-1-11-11-11-2200i3i3−i3−i32-2-11-11-11000i3−i3i3−i3−i3i3000000000000
χ292-22-22-12-2-2-211-12-1-2211-1-111-11-1-2200−i3−i3i3i3-22-111-11-1000−i3i3i3−i3−i3i3000000000000
χ302-22-22-12-2-2-211-12-1-2211-1-111-11-1-2200i3i3−i3−i3-22-111-11-1000i3−i3−i3i3i3−i3000000000000
χ312-22-22-1-22-2-211-12-10011-11-1−i3i3i3−i32-200−i3−i3i3i3001-1−i3i3i3−i302-2i3−i3-11-11000000000000
χ322-22-22-1-22-2-211-12-10011-11-1−i3i3i3−i32-200i3i3−i3−i3001-1−i3i3i3−i30-22−i3i31-11-1000000000000
χ332-22-22-1-22-2-211-12-10011-11-1i3−i3−i3i32-200−i3−i3i3i3001-1i3−i3−i3i30-22i3−i31-11-1000000000000
χ342-22-22-1-22-2-211-12-10011-11-1i3−i3−i3i32-200i3i3−i3−i3001-1i3−i3−i3i302-2−i3i3-11-11000000000000
χ352-22-2-122-211-2-22-1-12-211-12-22-22-21-1000000-11-11-11-1100000000000−i3−i3i3i30−i3i3000
χ362-22-2-122-211-2-22-1-12-211-12-22-22-21-1000000-11-11-11-1100000000000i3i3−i3−i30i3−i3000
χ372-22-2-122-211-2-22-1-1-2211-12-2-22-221-10000001-1-111-11-100000000000−i3−i3i3i30i3−i3000
χ382-22-2-122-211-2-22-1-1-2211-12-2-22-221-10000001-1-111-11-100000000000i3i3−i3−i30−i3i3000
χ392-2-2222002-22-2-2-22002-2-2000000002i−2i2i−2i2i−2i000000000000000002−22−22−2000−i2i20
χ402-2-2222002-22-2-2-22002-2-2000000002i−2i2i−2i2i−2i00000000000000000−22−22−22000i2−i20
χ412-2-2222002-22-2-2-22002-2-200000000−2i2i−2i2i−2i2i000000000000000002−22−22−2000i2−i20
χ422-2-2222002-22-2-2-22002-2-200000000−2i2i−2i2i−2i2i00000000000000000−22−22−22000−i2i20
χ434444-24-4-4-2-2444-2-200-2-2-2-4-400002200000000220000000000000000000000000
χ444444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-20000002211-1-1-1-1000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-210011122−2i3−2i32i32i32200000000-1-1i3i3−i3−i3000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2100111222i32i3−2i3−2i32200000000-1-1−i3−i3i3i3000000000000000000000
χ4844-4-44400-44-44-4-4400-44-40000000000000000000000000000000000000000000
χ4944-4-44-200-442-22-4-2002-22000000000023−23−232300000000000000000000000000000
χ5044-4-44-200-442-22-4-2002-220000000000−232323−2300000000000000000000000000000
χ5144-4-4-24002-2-44-42-2002-22000000000000000000000000000000000i6−i6−i6i6000000
χ5244-4-4-24002-2-44-42-2002-22000000000000000000000000000000000−i6i6i6−i6000000
χ534-44-4-24-4422-4-44-2-20022-2-440000-22000000002-20000000000000000000000000
χ544-44-4-2-24-42222-2-214-4-1-11-22-22-222-2000000-221-11-11-1000000000000000000000
χ554-44-4-2-24-42222-2-21-44-1-11-222-22-22-20000002-21-1-11-11000000000000000000000
χ564-44-4-2-2-442222-2-2100-1-112-2−2i32i32i3−2i3-2200000000-11i3−i3−i3i3000000000000000000000
χ574-44-4-2-2-442222-2-2100-1-112-22i3−2i3−2i32i3-2200000000-11−i3i3i3−i3000000000000000000000
χ584-4-444-2004-4-222-4-200-222000000004i−4i−2i2i−2i2i00000000000000000000000000000
χ594-4-444-2004-4-222-4-200-22200000000−4i4i2i−2i2i−2i00000000000000000000000000000
χ604-4-44-2400-224-4-42-200-222000000000000000000000000000000022−22−22−22000000
χ614-4-44-2400-224-4-42-200-2220000000000000000000000000000000−22222−22−2000000
χ6288-8-8-4-4004-44-444200-22-20000000000000000000000000000000000000000000
χ638-8-88-4-400-44-44442002-2-20000000000000000000000000000000000000000000

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