Finite Group Databasebeta

← Group #11895998

Character table — Group #11895998

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order12223344666666344666121212121212121244441212121212121212121212124444444881212121212121212121212121212246681212121212122424242488228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-111111111111111-11-1-1-11-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-11-1-1111111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11-111-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-11-1-11-1-1111111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1111-111-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-11-1-11-1-111111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111-1-1-1-11111-1-111-1-1-111-1-1-1-1111-1-111111111-1-1111-111-1-1-1-1-1-1-1111-1-1-111-1-1111-1-1
χ10111111111111111-1-1111111-1-1-1-11111-1-111-1-1-111-1-1-1-1111-1-1-1-1-1-11111-1-1111-111-1-11-11111-1-1-1-1-1-1-111-1-1-111
χ11111111111111111-1-1111111-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-11-1-111-11-1-11111-111-1-111-1-11-11
χ12111111111111111-1-1111111-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-11-1-1111111-11-1-1-11111-1-111-11-1
χ13111111111111111-1-1111111-1-1-1-11-1-11-1-111-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-11-111-1-1-11-1-1-1-11111111-1-1-1-1-111
χ14111111111111111-1-1111111-1-1-1-11-1-11-1-111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-111-1-111111-1-1-1111-1-111111-1-1
χ15111111111111111-1-1111111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-111-11111-1-1111111-1-1-11-1-111-1-1-1-11-1111-1-1-1-11111-11-1
χ16111111111111111-1-1111111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-111-111-1-111111111-1-1-11-1-1111-111-1-1-1-11-1-111-1-1-1-11-11
χ17222222-2-222222222-2222-2-2-222-2-2-22200200-200-2-222-2-200-22-200000000222200000000000-200-200000000000
χ18222222-2-222222222-2222-2-2-222-2-2-2-2-200200-200-2-222-2-2002-2200000000-2-2-2-200000000000200200000000000
χ19222222-2-22222222-22222-2-2-2-2-222-22200-200200-2-2-2-22200-2-2200000000-2-22200000000000-200200000000000
χ20222222-2-22222222-22222-2-2-2-2-222-2-2-200-200200-2-2-2-2220022-20000000022-2-200000000000200-200000000000
χ2122222-122-1-122-12-122-1-1-1-12222-1-1-10022-122222-1-1-1-1-1-100000222200000000-1-1-1-1-1-120-1-120-1-1000-1-1-1-100000
χ2222222-122-1-122-12-122-1-1-1-12222-1-1-10022-122222-1-1-1-1-1-100000-2-2-2-200000000-1-1-1-1-1-1-2011-2011000111100000
χ2322222-122-1-122-12-122-1-1-1-12222-1-1-100-2-2-1-2-22-2-2-1-1-1-1-1-10000022-2-20000000011111120-1-1-20-1-1000111100000
χ2422222-122-1-122-12-122-1-1-1-12222-1-1-100-2-2-1-2-22-2-2-1-1-1-1-1-100000-2-22200000000111111-20112011000-1-1-1-100000
χ2522222-122-1-122-12-1-2-2-1-1-1-122-2-211-1002-2122-2-2-2-1-1111100000222200000000-11-1-111-2011-20-1-1000-1-11100000
χ2622222-122-1-122-12-1-2-2-1-1-1-122-2-211-1002-2122-2-2-2-1-1111100000-2-2-2-200000000-11-1-11120-1-1201100011-1-100000
χ2722222-122-1-122-12-1-2-2-1-1-1-122-2-211-100-221-2-2-222-1-111110000022-2-2000000001-111-1-1-201120-1-100011-1-100000
χ2822222-122-1-122-12-1-2-2-1-1-1-122-2-211-100-221-2-2-222-1-1111100000-2-222000000001-111-1-120-1-1-2011000-1-11100000
χ292222-122222-1-12-1-122-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1222220000-1-1-1-1-1-1-1-122-1-1-1-102000-100-1-1-1000000000
χ302222-122222-1-12-1-122-1-1-12-1-1-1-122222-2-2211-111-1-1-1-1-1-1-2-222200001111-1-1-1-1-2-211110-2000-100-111000000000
χ312222-122222-1-12-1-122-1-1-12-1-1-1-1222-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200001111111122-1-1-1-10-2000100111000000000
χ322222-122222-1-12-1-122-1-1-12-1-1-1-1222-2-2-2-2211-111-1-1-1-1-1-122-2-2-20000-1-1-1-11111-2-21111020001001-1-1000000000
χ332222-122222-1-12-1-1-2-2-1-1-12-1-111-2-22222-2-2-1-1111-1-11111222-2-20000-1-1-1-111-1-12-2-1-1110-2000-100111000000000
χ342222-122222-1-12-1-1-2-2-1-1-12-1-111-2-2222-22-2111-1-1-1-11111-2-22-2-20000111111-1-1-2211-1-102000-1001-1-1000000000
χ352222-122222-1-12-1-1-2-2-1-1-12-1-111-2-22-2-22-2-2-1-1111-1-11111-2-2-22200001111-1-1112-2-1-11102000100-1-1-1000000000
χ362222-122222-1-12-1-1-2-2-1-1-12-1-111-2-22-2-2-22-2111-1-1-1-1111122-2220000-1-1-1-1-1-111-2211-1-10-2000100-111000000000
χ372222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-222002−i3i31−i3i311-1-11100-22-20000−i3−i3i3i3-1-1-1-100−i3i3−i3i3000001001−i3i3000000000
χ382222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-222002i3−i31i3−i311-1-11100-22-20000i3i3−i3−i3-1-1-1-100i3−i3i3−i3000001001i3−i3000000000
χ392222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-2-2-2002−i3i31−i3i311-1-111002-220000i3i3−i3−i3111100−i3i3−i3i300000-100-1i3−i3000000000
χ402222-12-2-222-1-12-1-12-2-1-1-1-211-1-1-2-2-2-2-2002i3−i31i3−i311-1-111002-220000−i3−i3i3i3111100i3−i3i3−i300000-100-1−i3i3000000000
χ412222-12-2-222-1-12-1-1-22-1-1-1-2111122-22200-2−i3i3-1i3−i31111-1-100-2-220000−i3−i3i3i311-1-100−i3i3i3−i300000100-1i3−i3000000000
χ422222-12-2-222-1-12-1-1-22-1-1-1-2111122-22200-2i3−i3-1−i3i31111-1-100-2-220000i3i3−i3−i311-1-100i3−i3−i3i300000100-1−i3i3000000000
χ432222-12-2-222-1-12-1-1-22-1-1-1-2111122-2-2-200-2−i3i3-1i3−i31111-1-10022-20000i3i3−i3−i3-1-11100−i3i3i3−i300000-1001−i3i3000000000
χ442222-12-2-222-1-12-1-1-22-1-1-1-2111122-2-2-200-2i3−i3-1−i3i31111-1-10022-20000−i3−i3i3i3-1-11100i3−i3−i3i300000-1001i3−i3000000000
χ4522-2-222-222-22-2-2-22002-2-2-22-20000200000000002-200002-20002i−2i002-22-200000000000000002i−2i00000002i−2i000
χ4622-2-222-222-22-2-2-22002-2-2-22-20000200000000002-200002-2000−2i2i002-22-20000000000000000−2i2i0000000−2i2i000
χ4722-2-222-222-22-2-2-22002-2-2-22-20000200000000002-20000-220002i−2i00-22-2200000000000000002i−2i0000000−2i2i000
χ4822-2-222-222-22-2-2-22002-2-2-22-20000200000000002-20000-22000−2i2i00-22-220000000000000000−2i2i00000002i−2i000
χ4944444-2-4-4-2-244-24-24-4-2-2-22-4-4442220000-200-40022-2-2220000000000000000000000000000000000000000000
χ5044444-2-4-4-2-244-24-2-44-2-2-22-4-4-4-4-2-2200002004002222-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-20044-2-2-2-2-2-211111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-4-222-2221111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-2004-42-2-222211-1-1-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-200-442222-2-211-1-1-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111222-2-22220000-2−2i32i32−2i32i3-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111222-2-22220000-22i3−2i322i3−2i3-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122222-2-2200002−2i32i3-22i3−2i3-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222-2-22000022i3−2i3-2−2i32i3-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4444-44-44-4-4-44004-4-44-440000-40000000000-4400000000000000000000000000000000000000000000000
χ6044-4-44-24-4-224-42-4-200-222-2-440000200000000002-200000000000000000000000000000−2i32i30000000000000000
χ6144-4-44-24-4-224-42-4-200-222-2-440000200000000002-2000000000000000000000000000002i3−2i30000000000000000
χ6244-4-44-2-44-224-42-4-200-22224-40000-20000000000-220000000004i−4i0000000000000000000000−2i2i000000000000
χ6344-4-44-2-44-224-42-4-200-22224-40000-20000000000-22000000000−4i4i00000000000000000000002i−2i000000000000
χ6444-4-4-244-44-4-22-42-200-22242-20000-400000000002-20000000000000−2i32i32i3−2i3000000000000000000000000000000
χ6544-4-4-244-44-4-22-42-200-22242-20000-400000000002-200000000000002i3−2i3−2i32i3000000000000000000000000000000
χ6644-4-4-24-444-4-22-42-200-222-4-22000040000000000-2200004-40000000-22-22000000000000000000000000000000
χ6744-4-4-24-444-4-22-42-200-222-4-22000040000000000-220000-4400000002-22-2000000000000000000000000000000
χ684-44-44400-44-44-4-4400-44-40000000000000000000000000000000−2i22i20000000000000000000000000−2i22i20000000
χ694-44-44400-44-44-4-4400-44-400000000000000000000000000000002i2−2i200000000000000000000000002i2−2i20000000
χ704-44-44-2002-2-442-4-2002-220000023−2300000000000000023−230000000−2i22i20000000000000000000000000i2−i2i6−i600000
χ714-44-44-2002-2-442-4-2002-220000023−2300000000000000023−2300000002i2−2i20000000000000000000000000−i2i2−i6i600000
χ724-44-44-2002-2-442-4-2002-2200000−2323000000000000000−23230000000−2i22i20000000000000000000000000i2−i2−i6i600000
χ734-44-44-2002-2-442-4-2002-2200000−2323000000000000000−232300000002i2−2i20000000000000000000000000−i2i2i6−i600000
χ744-4-444400-4-4-4-444400-4-44000000004-4000000000000000000000000000004-400000000000000000000000000
χ754-4-444400-4-4-4-444400-4-4400000000-4400000000000000000000000000000-4400000000000000000000000000
χ764-4-44-2400-4-4224-2-20022-200023−230004-4000000000023−2300000000000000023−23-2200000000000000000000000000
χ774-4-44-2400-4-4224-2-20022-200023−23000-44000000000023−23000000000000000−23232-200000000000000000000000000
χ784-4-44-2400-4-4224-2-20022-2000−23230004-40000000000−2323000000000000000−2323-2200000000000000000000000000
χ794-4-44-2400-4-4224-2-20022-2000−2323000-440000000000−232300000000000000023−232-200000000000000000000000000
χ8088-8-8-4-48-8-44-44442002-2-2-44-4000040000000000-2200000000000000000000000000000000000000000000000
χ8188-8-8-4-4-88-44-44442002-2-24-440000-400000000002-200000000000000000000000000000000000000000000000
χ828-88-8-4800-884-4-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444200-22-20000043−43000000000000000−23230000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-444200-22-200000−434300000000000000023−230000000000000000000000000000000000000000000
χ858-8-888-40044-8-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-2200043−43000000000000000−2323000000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-22000−434300000000000000023−23000000000000000000000000000000000000000000000

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