Finite Group Databasebeta

← Group #13151470

Character table — Group #13151470

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order1222366622466336666666123666661212222222224444666666612121222444466666666121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ5111111111-1-11111111111-1-11-1-1111-1-1111111-1-111-1-111-111-1-1-1-1-11-1-1-11-1111111-1-111-1-11-1-1-11-1
χ6111111111-1-11111111111-1-11-1-1111-1-11111-1-111-1-11111-111-1-1-1-1-1-11-1-1-111111-1-111-1-111-11-1-1-11
χ7111111111-1-11111111111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-11111-1
χ8111111111-1-11111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-11-111-11-1-1-1-1-1-11111-1-11-111-11
χ911111111-11-1-1-1111111111-1111111-1-111-1-1111111-1-1-1-11-1-111-1-1-1-111-1-1-111-1-1111111-1-1-111-1-1-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-11-11-11111-1-1-1-1-1-1-1-1111-11-111
χ1111111111-11-1-1-1111111111-1111111-1-1-1-1111111-1-111-1-11-1-111-1-1-11-1-11-1-1-1-1111111-1-1111-1-11-1-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-111-1-1-1-11-1-111-1-1-1-11-1111-1-111-1-1-1-111-1-1-11-1111
χ1311111111-1-11-1-111111111-111-1-11111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-11-1111-1-111-1-11111-1-1-11-11
χ1411111111-1-11-1-111111111-111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-1-1-111-1-1-1-111-111-1
χ1511111111-1-11-1-111111111-111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1111-1-11
χ1611111111-1-11-1-111111111-111-1-111111-1-111-1-1111111-1-1-1-1-1-1-1111-1-11-11-1-1-111-1-1111111-1-11-11-1
χ1722222222222222-12-122-1-122-122-1-1-1-1-10000000022222-1-1-1-1-1-12-1-122000000000000-1-1-1-1-1-10000
χ1822222222222222-12-122-1-122-122-1-1-1-1-100000000-2-2-2-22-1-1-1-1-1-12-1-1-2-20000000000001111110000
χ192222222222222-12-12-1-12222-1-1-1-1-1-122000022220000-122-1-1-1-1-1-1-10000220000-1-1-1-100000000-1-1
χ202222222222222-12-12-1-12222-1-1-1-1-1-1220000-2-2-2-20000-122-1-1-1-1-1-1-10000-2-2000011110000000011
χ21222222222-2-2222-12-122-1-1-2-2-1-2-2-1-1-1110000000022-2-22-11-1-111-2112-2000000000000-1-111-110000
χ22222222222-2-2222-12-122-1-1-2-2-1-2-2-1-1-11100000000-2-2222-11-1-111-211-2200000000000011-1-11-10000
χ23222222222-2-222-12-12-1-122-2-2-111-1-1-1-2-2000022-2-20000-12-2-1-11111100002-20000-1-11100000000-11
χ24222222222-2-222-12-12-1-122-2-2-111-1-1-1-2-20000-2-2220000-12-2-1-1111110000-22000011-1-1000000001-1
χ2522222222-22-2-2-22-12-122-1-12-2-122-1-1-1110000000022-2-2-21-111-1-1-211-22000000000000-1-1111-10000
χ2622222222-22-2-2-22-12-122-1-12-2-122-1-1-11100000000-2-222-21-111-1-1-2112-200000000000011-1-1-110000
χ2722222222-22-2-2-2-12-12-1-1222-2-1-1-1-1-1-1-2-20000222200001-2211-1-11110000-2-20000-1-1-1-10000000011
χ2822222222-22-2-2-2-12-12-1-1222-2-1-1-1-1-1-1-2-20000-2-2-2-200001-2211-1-11110000220000111100000000-1-1
χ2922222222-2-22-2-22-12-122-1-1-22-1-2-2-1-1-1-1-1000000002222-21111112-1-1-2-2000000000000-1-1-1-1110000
χ3022222222-2-22-2-22-12-122-1-1-22-1-2-2-1-1-1-1-100000000-2-2-2-2-21111112-1-1220000000000001111-1-10000
χ3122222222-2-22-2-2-12-12-1-122-22-111-1-1-122000022-2-200001-2-21111-1-1-10000-220000-1-111000000001-1
χ3222222222-2-22-2-2-12-12-1-122-22-111-1-1-1220000-2-22200001-2-21111-1-1-100002-2000011-1-100000000-11
χ332-22-22-22-20000022-2-22-22-2002002-2-200002-2002-2002-20000000000000000002-2002-2002-2000000
χ342-22-22-22-20000022-2-22-22-2002002-2-200002-200-2200-220000000000000000002-200-2200-22000000
χ352-22-22-22-20000022-2-22-22-2002002-2-20000-22002-200-22000000000000000000-22002-200-22000000
χ362-22-22-22-20000022-2-22-22-2002002-2-20000-2200-22002-2000000000000000000-2200-22002-2000000
χ372-2-222-2-220000022-2-2-22-2200200-22-2002-2002-2002-20000000000000000002-2002-2002-200000000
χ382-2-222-2-220000022-2-2-22-2200200-22-2002-200-2200-220000000000000000002-200-2200-2200000000
χ392-2-222-2-220000022-2-2-22-2200200-22-200-22002-200-22000000000000000000-22002-200-2200000000
χ402-2-222-2-220000022-2-2-22-2200200-22-200-2200-22002-2000000000000000000-2200-22002-200000000
χ414444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2000000000000-2-2-21111-211000000000000000000000000
χ42444444444-4-444-2-2-2-2-2-2-2-2-4-412211122000000000000-2-2211-1-12-1-1000000000000000000000000
χ4344444444-44-4-4-4-2-2-2-2-2-2-2-24-41-2-21112200000000000022-2-1-1112-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44122111-2-2000000000000222-1-1-1-1-211000000000000000000000000
χ4544-4-444-4-4000004444-4-4-4-400400-4-44000000000000000000000000000000000000000000000000
χ4644-4-444-4-4000004-24-2-4-42200-20022-22i3−2i3000000000000000000002i3−2i3000000000000000000000000
χ4744-4-444-4-4000004-24-2-4-42200-20022-2−2i32i300000000000000000000−2i32i3000000000000000000000000
χ4844-4-444-4-400000-24-2422-4-400-22i3−2i322-200000000000000000002i3−2i3000000000000000000000000000
χ4944-4-444-4-400000-24-2422-4-400-2−2i32i322-20000000000000000000−2i32i3000000000000000000000000000
χ5044-4-444-4-400000-2-2-2-222220012i3−2i3-1-112i3−2i30000000000000003-3−i3i30−i3i3000000000000000000000000
χ5144-4-444-4-400000-2-2-2-222220012i3−2i3-1-11−2i32i3000000000000000-33−i3i30i3−i3000000000000000000000000
χ5244-4-444-4-400000-2-2-2-22222001−2i32i3-1-112i3−2i3000000000000000-33i3−i30−i3i3000000000000000000000000
χ5344-4-444-4-400000-2-2-2-22222001−2i32i3-1-11−2i32i30000000000000003-3i3−i30i3−i3000000000000000000000000
χ544-44-44-44-4000004-2-424-4-2200-200-2220000000000004-400000000000000000000000000-22000000
χ554-44-44-44-4000004-2-424-4-2200-200-222000000000000-44000000000000000000000000002-2000000
χ564-44-44-44-400000-242-4-224-400-200-222000000004-400000000000000000000000000-220000000000
χ574-44-44-44-400000-242-4-224-400-200-22200000000-44000000000000000000000000002-20000000000
χ584-4-444-4-44000004-2-42-442-200-2002-2200000000004-400000000000000000000000000-2200000000
χ594-4-444-4-44000004-2-42-442-200-2002-220000000000-44000000000000000000000000002-200000000
χ604-4-444-4-4400000-242-42-2-4400-2002-220000004-400000000000000000000000000-22000000000000
χ614-4-444-4-4400000-242-42-2-4400-2002-22000000-44000000000000000000000000002-2000000000000
χ626666-3-3-3-3666-3-300000000-3-3000000002222000000000000000000002200-1-1-1-10000000000-1-100
χ636666-3-3-3-3666-3-300000000-3-300000000-2-2-2-200000000000000000000-2-200111100000000001100
χ646666-3-3-3-36-6-6-3-3000000003300000000222200000000000000000000-2-200-1-1-1-100000000001100
χ656666-3-3-3-36-6-6-3-3000000003300000000-2-2-2-200000000000000000000220011110000000000-1-100
χ666666-3-3-3-3-66-63300000000-330000000022-2-2000000000000000000002-200-1-1110000000000-1100
χ676666-3-3-3-3-66-63300000000-3300000000-2-22200000000000000000000-220011-1-100000000001-100
χ686666-3-3-3-3-6-6633000000003-30000000022-2-200000000000000000000-2200-1-11100000000001-100
χ696666-3-3-3-3-6-6633000000003-300000000-2-222000000000000000000002-20011-1-10000000000-1100
χ708-88-88-88-800000-4-444-44-44002002-2-2000000000000000000000000000000000000000000000000
χ718-8-888-8-8800000-4-4444-44-400200-22-2000000000000000000000000000000000000000000000000
χ721212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-6600000000000000000000000004-400000000000000000000000000-2200000000000000
χ7512-1212-12-66-660000000000000000000000000-44000000000000000000000000002-200000000000000
χ7612-12-1212-666-6000000000000000000000004-400000000000000000000000000-220000000000000000
χ7712-12-1212-666-600000000000000000000000-44000000000000000000000000002-20000000000000000

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