Finite Group Databasebeta

← Group #11782672

Character table — Group #11782672

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161636363636484848484848144
order12223344444466666636661212121212121212121212121212121212128888888824242424242424242424242424242424266666666888844121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-11-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ922222222-2-2-2-2222222222222-2-2-2-2-2-222-2-222-2-2-2-2000022-2-2000000002222-2-2-2-200000000000000000000
χ1022222222-2-2-2-2222222222222-2-2-2-2-2-222-2-222-2-2-2-20000-2-22200000000-2-2-2-2222200000000000000000000
χ11222222-2-222-2-22222222222-2-222-2-2-2-2-2-222-2-222-2-222-2-200002222-2-2-2-20000000000000000000000000000
χ12222222-2-222-2-22222222222-2-222-2-2-2-2-2-222-2-222-2-2-2-2220000-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-22200000000000000000000000000000000022-2-20000000
χ14222222-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-222000000000000000000000000000000000-2-2220000000
χ1522222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000200-1-10
χ1622222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2-211111100000-200110
χ1722222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000011111111222-1-1-1-1-1-100000-200110
χ1822222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2-211111100000200-1-10
χ1922222-122-2-2-2-222-1-12-1-1-1-1-12211-2-211-1-1-2-2-1-11111000022-2-200000000-1-1-1-11111000−i3i3−i3−i3i3i300000000−i3i30
χ2022222-122-2-2-2-222-1-12-1-1-1-1-12211-2-211-1-1-2-2-1-11111000022-2-200000000-1-1-1-11111000i3−i3i3i3−i3−i300000000i3−i30
χ2122222-122-2-2-2-222-1-12-1-1-1-1-12211-2-211-1-1-2-2-1-111110000-2-222000000001111-1-1-1-1000−i3i3−i3−i3i3i300000000i3−i30
χ2222222-122-2-2-2-222-1-12-1-1-1-1-12211-2-211-1-1-2-2-1-111110000-2-222000000001111-1-1-1-1000i3−i3i3i3−i3−i300000000−i3i30
χ232222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-1000020-1-1000
χ242222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-211-2-211110000-2011000
χ252222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000002-1-122-1-1-1-10000-2011000
χ262222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-211-2-21111000020-1-1000
χ272222-12-2-222-2-2-1-122-12-1-1-1-1112211-2-2-2-2-1-111-1-11122-2-20000-1-1-1-11111000000000−i3i300−i3i3−i3i3000000−i3i3000
χ282222-12-2-222-2-2-1-122-12-1-1-1-1112211-2-2-2-2-1-111-1-11122-2-20000-1-1-1-11111000000000i3−i300i3−i3i3−i3000000i3−i3000
χ292222-12-2-222-2-2-1-122-12-1-1-1-1112211-2-2-2-2-1-111-1-111-2-22200001111-1-1-1-1000000000−i3i300−i3i3−i3i3000000i3−i3000
χ302222-12-2-222-2-2-1-122-12-1-1-1-1112211-2-2-2-2-1-111-1-111-2-22200001111-1-1-1-1000000000i3−i300i3−i3i3−i3000000−i3i3000
χ3122-2-22200002-22-22-2-2-222-2-200002-22-2000000002-2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000002-20000000
χ3222-2-22200002-22-22-2-2-222-2-200002-22-2000000002-2−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000-220000000
χ3322-2-22200002-22-22-2-2-222-2-200002-22-2000000002-2i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000-220000000
χ3422-2-22200002-22-22-2-2-222-2-200002-22-2000000002-2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000002-20000000
χ3522-2-2220000-222-22-2-2-222-2-20000-22-2200000000-22−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000002-2000000000
χ3622-2-2220000-222-22-2-2-222-2-20000-22-2200000000-22−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000-22000000000
χ3722-2-2220000-222-22-2-2-222-2-20000-22-2200000000-22i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000-22000000000
χ3822-2-2220000-222-22-2-2-222-2-20000-22-2200000000-22i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000002-2000000000
χ3944444-2-4-444-4-444-2-24-2-2-2-2-2-4-4-2-2-4-422224422-2-22200000000000000000000000000000000000000000000
χ4044444-2-4-4-4-44444-2-24-2-2-2-2-2-4-42244-2-222-4-42222-2-200000000000000000000000000000000000000000000
χ414444-2444-4-4-4-4-2-244-24-2-2-2-2-2-2-4-422-4-44422-2-2222200000000000000000000000000000000000000000000
χ424444-24-4-4-4-444-2-244-24-2-2-2-222-4-4-2-244-4-4222222-2-200000000000000000000000000000000000000000000
χ434444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000004-2-2-2-2111100000000000
χ444444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111000000000000000000000000-42222-1-1-1-100000000000
χ454444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-22211-1-1-1-1000000000000000000000000000−2i32i3i3i3−i3−i300000000000
χ464444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-22211-1-1-1-10000000000000000000000000002i3−2i3−i3−i3i3i300000000000
χ474444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-2222222-2-2-1-111-1-10000000000000000000000000−2i32i300i3−i3i3−i300000000000
χ484444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-2222222-2-2-1-111-1-100000000000000000000000002i3−2i300−i3i3−i3i300000000000
χ494444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-111000000000000000000000000000003-3-3300000000000
χ504444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-11100000000000000000000000000000-333-300000000000
χ5144-4-44-200004-44-4-22-42-2-22200004-4-2200000000-220000−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i200000000000000000000
χ5244-4-44-200004-44-4-22-42-2-22200004-4-2200000000-2200002i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i200000000000000000000
χ5344-4-44-20000-444-4-22-42-2-2220000-442-2000000002-20000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i200000000000000000000
χ5444-4-44-20000-444-4-22-42-2-2220000-442-2000000002-200002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i200000000000000000000
χ5544-4-4-2400004-4-224-42-4-2-2220000-224-400000000-22−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i20000000000000000000000000000
χ5644-4-4-2400004-4-224-42-4-2-2220000-224-400000000-222i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i20000000000000000000000000000
χ5744-4-4-240000-44-224-42-4-2-22200002-2-44000000002-2−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ5844-4-4-240000-44-224-42-4-2-22200002-2-44000000002-22i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ594-44-444004-400-4-4-444-44-44-4004-40000004-4004-40000000000000000000000000000000000000000000000
χ604-44-44400-4400-4-4-444-44-44-400-44000000-4400-440000000000000000000000000000000000000000000000
χ614-44-44-2004-400-4-42-242-22-2200-220000004-400-220000000000000000006−66−66−66−600000000000000000000
χ624-44-44-2004-400-4-42-242-22-2200-220000004-400-22000000000000000000−66−66−66−6600000000000000000000
χ634-44-44-200-4400-4-42-242-22-22002-2000000-44002-20000000000000000006−66−6−66−6600000000000000000000
χ644-44-44-200-4400-4-42-242-22-22002-2000000-44002-2000000000000000000−66−666−66−600000000000000000000
χ654-44-4-24004-40022-44-2-4-22-22004-4000000-2200-220000000000−2i32i3−2i32i300000000000000000000000000000000
χ664-44-4-24004-40022-44-2-4-22-22004-4000000-2200-2200000000002i3−2i32i3−2i300000000000000000000000000000000
χ674-44-4-2400-440022-44-2-4-22-2200-440000002-2002-200000000000000−2i32i3−2i32i30000000000000000000000000000
χ684-44-4-2400-440022-44-2-4-22-2200-440000002-2002-2000000000000002i3−2i32i3−2i30000000000000000000000000000
χ694-4-44444-40000-44-4-4-444-4-444-40000004-4004-4000000000000000000000000000000000000000000000000
χ704-4-4444-440000-44-4-4-444-4-44-44000000-4400-44000000000000000000000000000000000000000000000000
χ714-4-444-24-40000-4422-4-2-222-24-4000000-2200-2200000000000000000000−2i32i32i3−2i3000000000000000000000000
χ724-4-444-24-40000-4422-4-2-222-24-4000000-2200-22000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ734-4-444-2-440000-4422-4-2-222-2-440000002-2002-2000000000000000000000000−2i32i32i3−2i300000000000000000000
χ744-4-444-2-440000-4422-4-2-222-2-440000002-2002-20000000000000000000000002i3−2i3−2i32i300000000000000000000
χ754-4-44-244-400002-2-4-424-222-2-220000004-400-220000000000006−6−666−6−660000000000000000000000000000
χ764-4-44-244-400002-2-4-424-222-2-220000004-400-22000000000000−666−6−666−60000000000000000000000000000
χ774-4-44-24-4400002-2-4-424-222-22-2000000-44002-20000000000006−6−66−666−60000000000000000000000000000
χ784-4-44-24-4400002-2-4-424-222-22-2000000-44002-2000000000000−666−66−6−660000000000000000000000000000
χ7988-8-8-4-400008-8-44-444422-2-20000-44-44000000002-200000000000000000000000000000000000000000000
χ8088-8-8-4-40000-88-44-444422-2-200004-44-400000000-2200000000000000000000000000000000000000000000
χ818-88-8-4-4008-800444-4-442-22-200-44000000-44002-20000000000000000000000000000000000000000000000
χ828-88-8-4-400-8800444-4-442-22-2004-40000004-400-220000000000000000000000000000000000000000000000
χ838-8-88-4-48-800004-4444-42-2-22-44000000-44002-2000000000000000000000000000000000000000000000000
χ848-8-88-4-4-8800004-4444-42-2-224-40000004-400-22000000000000000000000000000000000000000000000000

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