Finite Group Databasebeta

← Group #11782794

Character table — Group #11782794

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161636363636484848484848144
order1222334444446666663666121212121212121212121212121212121212888888882424242424242424242424242424242441212121212121212888844121212124
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
χ922222222-2-2-2-22222222222-2-2-2-222-2-222-2-2-2-2-2-222000022-2-2000000002222-2-2-2-200000000000000000000
χ1022222222-2-2-2-22222222222-2-2-2-222-2-222-2-2-2-2-2-2220000-2-22200000000-2-2-2-2222200000000000000000000
χ11222222-2-222-2-2222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-200002222-2-2-2-20000000000000000000000000000
χ12222222-2-222-2-2222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2220000-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-2222222222222-2-222-2-222-2-2-2-2-2-222-2-200000000000000000000000000000000022-2-20000000
χ14222222-2-2-2-2222222222222-2-222-2-222-2-2-2-2-2-222-2-2000000000000000000000000000000000-2-2220000000
χ1522222-12222222-12-12-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000222-1-1-1-1-1-1000020-1-1000
χ1622222-12222222-12-12-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2-2-21111110000-2011000
χ1722222-12222222-12-12-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000222-1-1-1-1-1-10000-2011000
χ1822222-12222222-12-12-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-2-2111111000020-1-1000
χ1922222-1-2-222-2-22-12-12-1-1-1-1-1221111-2-2-2-2-1-1-1-1111122-2-20000-1-1-1-1111100000000000−i3i3−i3−i3i3i3000000−i3i3000
χ2022222-1-2-222-2-22-12-12-1-1-1-1-1221111-2-2-2-2-1-1-1-1111122-2-20000-1-1-1-1111100000000000i3−i3i3i3−i3−i3000000i3−i3000
χ2122222-1-2-222-2-22-12-12-1-1-1-1-1221111-2-2-2-2-1-1-1-11111-2-22200001111-1-1-1-100000000000−i3i3−i3−i3i3i3000000i3−i3000
χ2222222-1-2-222-2-22-12-12-1-1-1-1-1221111-2-2-2-2-1-1-1-11111-2-22200001111-1-1-1-100000000000i3−i3i3i3−i3−i3000000−i3i3000
χ232222-12222222-12-12-12-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12-1-122-1-1-1-100000200-1-10
χ242222-12222222-12-12-12-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-211-2-2111100000-200110
χ252222-12222222-12-12-12-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000111111112-1-122-1-1-1-100000-200110
χ262222-12222222-12-12-12-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000011111111-211-2-2111100000200-1-10
χ272222-1222-2-2-2-2-12-12-12-1-1-1-111-2-22211-1-1-2-21111-1-1000022-2-200000000-1-1-1-111110−i3i300−i3i3−i3i300000000−i3i30
χ282222-1222-2-2-2-2-12-12-12-1-1-1-111-2-22211-1-1-2-21111-1-1000022-2-200000000-1-1-1-111110i3−i300i3−i3i3−i300000000i3−i30
χ292222-1222-2-2-2-2-12-12-12-1-1-1-111-2-22211-1-1-2-21111-1-10000-2-222000000001111-1-1-1-10−i3i300−i3i3−i3i300000000i3−i30
χ302222-1222-2-2-2-2-12-12-12-1-1-1-111-2-22211-1-1-2-21111-1-10000-2-222000000001111-1-1-1-10i3−i300i3−i3i3−i300000000−i3i30
χ312-2-222200002-2-22-2-22-222-2-2002-2002-20000002-2002−22−2−i2i2−i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000002i−2i0000000
χ322-2-222200002-2-22-2-22-222-2-2002-2002-20000002-2002−22−2i2−i2i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000−2i2i0000000
χ332-2-222200002-2-22-2-22-222-2-2002-2002-20000002-200−22−22−i2i2−i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000−2i2i0000000
χ342-2-222200002-2-22-2-22-222-2-2002-2002-20000002-200−22−22i2−i2i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000002i−2i0000000
χ352-2-22220000-22-22-2-22-222-2-200-2200-22000000-22002−2−22−i2i2i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000002i−2i000000000
χ362-2-22220000-22-22-2-22-222-2-200-2200-22000000-22002−2−22i2−i2−i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000−2i2i000000000
χ372-2-22220000-22-22-2-22-222-2-200-2200-22000000-2200−222−2−i2i2i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000−2i2i000000000
χ382-2-22220000-22-22-2-22-222-2-200-2200-22000000-2200−222−2i2−i2−i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000002i−2i000000000
χ3944444-244-4-4-4-44-24-24-2-2-2-2-2-4-422-2-2-4-444222222-2-200000000000000000000000000000000000000000000
χ4044444-2-4-4-4-4444-24-24-2-2-2-2-2-4-4-2-22244-4-42222-2-22200000000000000000000000000000000000000000000
χ414444-24-4-444-4-4-24-24-24-2-2-2-2-2-2-4-4-4-4222244-2-2222200000000000000000000000000000000000000000000
χ424444-24-4-4-4-444-24-24-24-2-2-2-22244-4-4-2-222-4-422-2-22200000000000000000000000000000000000000000000
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
χ454444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-222-2-222-1-1-1-1110000000000000000000000000−2i32i300i3−i3i3−i300000000000
χ464444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-222-2-222-1-1-1-11100000000000000000000000002i3−2i300−i3i3−i3i300000000000
χ474444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222222222-2-211-1-1-1-1000000000000000000000000000−2i32i3i3i3−i3−i300000000000
χ484444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222222222-2-211-1-1-1-10000000000000000000000000002i3−2i3−i3−i3i3i300000000000
χ494444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-222-2-22222-1-111-1-1000000000000000000000000000003-3-3300000000000
χ504444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-222-2-22222-1-111-1-100000000000000000000000000000-333-300000000000
χ5144-4-4444-40000-4-444-4-44-4-4400004-4004-40000004-400000000000000000000000000000000000000000000
χ5244-4-444-440000-4-444-4-44-4-440000-4400-44000000-4400000000000000000000000000000000000000000000
χ5344-4-44-24-40000-424-2-42-222-20000-22004-4000000-22000000006−66−66−66−60000000000000000000000000000
χ5444-4-44-24-40000-424-2-42-222-20000-22004-4000000-2200000000−66−66−66−660000000000000000000000000000
χ5544-4-44-2-440000-424-2-42-222-200002-200-440000002-2000000006−66−6−66−660000000000000000000000000000
χ5644-4-44-2-440000-424-2-42-222-200002-200-440000002-200000000−66−666−66−60000000000000000000000000000
χ5744-4-4-244-400002-4-242-4-222-200004-400-22000000-220000000000000000000023−2323−2300000000000000000000
χ5844-4-4-244-400002-4-242-4-222-200004-400-22000000-2200000000000000000000−2323−232300000000000000000000
χ5944-4-4-24-4400002-4-242-4-222-20000-44002-20000002-2000000000000000023−2323−23000000000000000000000000
χ6044-4-4-24-4400002-4-242-4-222-20000-44002-20000002-20000000000000000−2323−2323000000000000000000000000
χ614-44-444004-4004-4-4-4-444-44-44-4000000004-44-4000000000000000000000000000000000000000000000000
χ624-44-44400-44004-4-4-4-444-44-4-4400000000-44-44000000000000000000000000000000000000000000000000
χ634-44-44-2004-40042-42-4-2-22-224-400000000-22-22000000000000000023−23−23230000000000000000000000000000
χ644-44-44-2004-40042-42-4-2-22-224-400000000-22-220000000000000000−232323−230000000000000000000000000000
χ654-44-44-200-440042-42-4-2-22-22-44000000002-22-200000000000023−23−232300000000000000000000000000000000
χ664-44-44-200-440042-42-4-2-22-22-44000000002-22-2000000000000−232323−2300000000000000000000000000000000
χ674-44-4-24004-400-2-42-424-22-22-22000000004-4-2200000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000
χ684-44-4-24004-400-2-42-424-22-22-22000000004-4-2200000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000
χ694-44-4-2400-4400-2-42-424-22-222-200000000-442-200000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000
χ704-44-4-2400-4400-2-42-424-22-222-200000000-442-200000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000
χ714-4-444-200004-4-4-2-4242-2-22200-22004-4000000-220022−2222−220000−2−222−2−2220000000000000000000000000000
χ724-4-444-200004-4-4-2-4242-2-22200-22004-4000000-2200−2222−2222000022−2−222−2−20000000000000000000000000000
χ734-4-444-20000-44-4-2-4242-2-222002-200-440000002-20022−22−22220000−2−22222−2−20000000000000000000000000000
χ744-4-444-20000-44-4-2-4242-2-222002-200-440000002-200−222222−22000022−2−2−2−2220000000000000000000000000000
χ754-4-44-2400004-4242-4-2-4-2-222004-400-22000000-22000000−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i200000000000000000000
χ764-4-44-2400004-4242-4-2-4-2-222004-400-22000000-220000002i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i200000000000000000000
χ774-4-44-240000-44242-4-2-4-2-22200-44002-20000002-2000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i200000000000000000000
χ784-4-44-240000-44242-4-2-4-2-22200-44002-20000002-20000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i200000000000000000000
χ7988-8-8-4-48-8000044-4-4442-2-220000-4400-440000002-200000000000000000000000000000000000000000000
χ8088-8-8-4-4-88000044-4-4442-2-2200004-4004-4000000-2200000000000000000000000000000000000000000000
χ818-88-8-4-4008-800-44444-42-22-2-4400000000-442-2000000000000000000000000000000000000000000000000
χ828-88-8-4-400-8800-44444-42-22-24-4000000004-4-22000000000000000000000000000000000000000000000000
χ838-8-88-4-400008-84-444-4422-2-200-4400-440000002-20000000000000000000000000000000000000000000000
χ848-8-88-4-40000-884-444-4422-2-2004-4004-4000000-220000000000000000000000000000000000000000000000

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