Finite Group Databasebeta

← Group #11782683

Character table — Group #11782683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161636363636484848484848144
order12223344444466666636661212121212121212121212121212121212128888888824242424242424242424242424242424412121212121212128888246612122
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
χ11222222-2-222-2-22222222222-2-2-2-2-2-222-2-222-2-222-2-222-2-200002222-2-2-2-20000000000000000000000000000
χ12222222-2-222-2-22222222222-2-2-2-2-2-222-2-222-2-222-2-2-2-2220000-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-2222222222222-2-22222-2-2-2-2-2-2-2-2-2-22200000000000000000000000000000000022-2-20000000
χ14222222-2-2-2-2222222222222-2-22222-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000000-2-2220000000
χ1522222-12222222-1-12-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000222-1-1-1-1-1-1000020-1-1000
χ1622222-12222222-1-12-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2-2-21111110000-2011000
χ1722222-12222222-1-12-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000222-1-1-1-1-1-10000-2011000
χ1822222-12222222-1-12-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-2-2111111000020-1-1000
χ1922222-1-2-222-2-22-1-12-12-1-1-1-111-2-21122-2-2-1-111-1-11122-2-20000-1-1-1-1111100000000000−i3i3−i3−i3i3i3000000−i3i3000
χ2022222-1-2-222-2-22-1-12-12-1-1-1-111-2-21122-2-2-1-111-1-11122-2-20000-1-1-1-1111100000000000i3−i3i3i3−i3−i3000000i3−i3000
χ2122222-1-2-222-2-22-1-12-12-1-1-1-111-2-21122-2-2-1-111-1-111-2-22200001111-1-1-1-100000000000−i3i3−i3−i3i3i3000000i3−i3000
χ2222222-1-2-222-2-22-1-12-12-1-1-1-111-2-21122-2-2-1-111-1-111-2-22200001111-1-1-1-100000000000i3−i3i3i3−i3−i3000000−i3i3000
χ232222-12222222-122-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12-1-122-1-1-1-100000200-1-10
χ242222-12222222-122-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-211-2-2111100000-200110
χ252222-12222222-122-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000111111112-1-122-1-1-1-100000-200110
χ262222-12222222-122-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000011111111-211-2-2111100000200-1-10
χ272222-1222-2-2-2-2-122-12-1-1-1-1-12211-2-211-1-1-2-2-1-11111000022-2-200000000-1-1-1-111110−i3i300−i3i3−i3i300000000−i3i30
χ282222-1222-2-2-2-2-122-12-1-1-1-1-12211-2-211-1-1-2-2-1-11111000022-2-200000000-1-1-1-111110i3−i300i3−i3i3−i300000000i3−i30
χ292222-1222-2-2-2-2-122-12-1-1-1-1-12211-2-211-1-1-2-2-1-111110000-2-222000000001111-1-1-1-10−i3i300−i3i3−i3i300000000i3−i30
χ302222-1222-2-2-2-2-122-12-1-1-1-1-12211-2-211-1-1-2-2-1-111110000-2-222000000001111-1-1-1-10i3−i300i3−i3i3−i300000000−i3i30
χ3122-2-2222-2000022-2-2-2-222-2-22-20000002-2002-20000−i2i2−i2i2002-2−i2−i2i2i2−i2−i2i2i2000022-2-2000000000−i2i2−i2i20000000
χ3222-2-2222-2000022-2-2-2-222-2-22-20000002-2002-20000−i2i2−i2i200-22−i2−i2i2i2−i2−i2i2i20000-2-222000000000i2−i2i2−i20000000
χ3322-2-2222-2000022-2-2-2-222-2-22-20000002-2002-20000i2−i2i2−i2002-2i2i2−i2−i2i2i2−i2−i2000022-2-2000000000i2−i2i2−i20000000
χ3422-2-2222-2000022-2-2-2-222-2-22-20000002-2002-20000i2−i2i2−i200-22i2i2−i2−i2i2i2−i2−i20000-2-222000000000−i2i2−i2i20000000
χ3522-2-222-22000022-2-2-2-222-2-2-22000000-2200-220000−i2i2i2−i22-200−i2−i2i2i2i2i2−i2−i222-2-20000000000000−i2i2i2−i20000000
χ3622-2-222-22000022-2-2-2-222-2-2-22000000-2200-220000−i2i2i2−i2-2200−i2−i2i2i2i2i2−i2−i2-2-2220000000000000i2−i2−i2i20000000
χ3722-2-222-22000022-2-2-2-222-2-2-22000000-2200-220000i2−i2−i2i22-200i2i2−i2−i2−i2−i2i2i222-2-20000000000000i2−i2−i2i20000000
χ3822-2-222-22000022-2-2-2-222-2-2-22000000-2200-220000i2−i2−i2i2-2200i2i2−i2−i2−i2−i2i2i2-2-2220000000000000−i2i2i2−i20000000
χ3944444-244-4-4-4-44-2-24-24-2-2-2-2-2-2-4-422-4-44422-2-2222200000000000000000000000000000000000000000000
χ4044444-2-4-4-4-4444-2-24-24-2-2-2-22244-2-2-4-4-4-4222222-2-200000000000000000000000000000000000000000000
χ414444-24-4-444-4-4-244-24-2-2-2-2-2-4-422-4-4-2-2224422-2-22200000000000000000000000000000000000000000000
χ424444-24-4-4-4-444-244-24-2-2-2-2-2-4-4-2-2442222-4-42222-2-200000000000000000000000000000000000000000000
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
χ454444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-22211-1-1-1-10000000000000000000000000−2i32i300i3−i3i3−i300000000000
χ464444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-22211-1-1-1-100000000000000000000000002i3−2i300−i3i3−i3i300000000000
χ474444-2-2-4-444-4-4-2-2-2-2-2-21111222222-2-222-2-2-1-111-1-1000000000000000000000000000−2i32i3i3i3−i3−i300000000000
χ484444-2-2-4-444-4-4-2-2-2-2-2-21111222222-2-222-2-2-1-111-1-10000000000000000000000000002i3−2i3−i3−i3i3i300000000000
χ494444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-2-2-2222222-1-1-1-111000000000000000000000000000003-3-3300000000000
χ504444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-2-2-2222222-1-1-1-11100000000000000000000000000000-333-300000000000
χ5144-4-44-24-400004-22-42-4-2-222-220000004-400-220000−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i20000000000000000000000000000
χ5244-4-44-24-400004-22-42-4-2-222-220000004-400-2200002i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i20000000000000000000000000000
χ5344-4-44-2-4400004-22-42-4-2-2222-2000000-44002-20000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ5444-4-44-2-4400004-22-42-4-2-2222-2000000-44002-200002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ5544-4-4-244-40000-24-42-42-2-2224-4000000-2200-2200000000004-4000000000000-2-22200000000000000000000
χ5644-4-4-244-40000-24-42-42-2-2224-4000000-2200-220000000000-4400000000000022-2-200000000000000000000
χ5744-4-4-24-440000-24-42-42-2-222-440000002-2002-2000000004-40000000000-2-222000000000000000000000000
χ5844-4-4-24-440000-24-42-42-2-222-440000002-2002-200000000-44000000000022-2-2000000000000000000000000
χ594-44-44400004-4-4-4-444-44-4-44004-44-400000000004-400000000000000000000000000000000000000000000
χ604-44-4440000-44-4-4-444-44-4-4400-44-440000000000-4400000000000000000000000000000000000000000000
χ614-44-44-200004-4-4224-2-4-222-2004-4-220000000000-2200000000i6−i6i6−i6i6−i6i6−i60000000000000000000000000000
χ624-44-44-200004-4-4224-2-4-222-2004-4-220000000000-2200000000−i6i6−i6i6−i6i6−i6i60000000000000000000000000000
χ634-44-44-20000-44-4224-2-4-222-200-442-200000000002-200000000i6−i6i6−i6−i6i6−i6i60000000000000000000000000000
χ644-44-44-20000-44-4224-2-4-222-200-442-200000000002-200000000−i6i6−i6i6i6−i6i6−i60000000000000000000000000000
χ654-44-4-2400004-42-4-4-242-222-200-224-40000000000-2200000000000000006−66−66−66−600000000000000000000
χ664-44-4-2400004-42-4-4-242-222-200-224-40000000000-220000000000000000−66−66−66−6600000000000000000000
χ674-44-4-240000-442-4-4-242-222-2002-2-4400000000002-200000000000000006−66−6−66−6600000000000000000000
χ684-44-4-240000-442-4-4-242-222-2002-2-4400000000002-20000000000000000−66−666−66−600000000000000000000
χ694-4-4444004-400-4-44-4-444-44-40000004-4004-4004-40000000000000000000000000000000000000000000000
χ704-4-444400-4400-4-44-4-444-44-4000000-4400-4400-440000000000000000000000000000000000000000000000
χ714-4-444-2004-400-42-2-424-22-220000004-400-2200-220000000000000023−23−23230000000000000000000000000000
χ724-4-444-2004-400-42-2-424-22-220000004-400-2200-2200000000000000−232323−230000000000000000000000000000
χ734-4-444-200-4400-42-2-424-22-22000000-44002-2002-2000000000023−23−232300000000000000000000000000000000
χ744-4-444-200-4400-42-2-424-22-22000000-44002-2002-20000000000−232323−2300000000000000000000000000000000
χ754-4-44-24004-4002-442-4-2-22-22000000-22004-400-220000000000000000006−6−66−666−600000000000000000000
χ764-4-44-24004-4002-442-4-2-22-22000000-22004-400-22000000000000000000−666−66−6−6600000000000000000000
χ774-4-44-2400-44002-442-4-2-22-220000002-200-44002-20000000000000000006−6−666−6−6600000000000000000000
χ784-4-44-2400-44002-442-4-2-22-220000002-200-44002-2000000000000000000−666−6−666−600000000000000000000
χ7988-8-8-4-48-80000-4-4444422-2-2-44000000-44002-2000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-880000-4-4444422-2-24-40000004-400-22000000000000000000000000000000000000000000000000
χ818-88-8-4-400008-8444-4-442-2-2200-44-4400000000002-200000000000000000000000000000000000000000000
χ828-88-8-4-40000-88444-4-442-2-22004-44-40000000000-2200000000000000000000000000000000000000000000
χ838-8-88-4-4008-80044-444-42-22-2000000-4400-44002-20000000000000000000000000000000000000000000000
χ848-8-88-4-400-880044-444-42-22-20000004-4004-400-220000000000000000000000000000000000000000000000

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