Finite Group Databasebeta

← Group #11896000

Character table — Group #11896000

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666344666121212121212444412121212121212121212121212444448812121212121212121212121212122248121212122424242444886628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11-1-1111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-111-1-11-1-1111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-111-1-11-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-111-1-11-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-111111-1-1-111-1-1-111-1-1-1-1111-1-1111111-1-1111-111-1-11-1-1-11-1-1-111-1-111111-1-1-1
χ10111111111111111-1-111111-1-111111-1-1-111-1-1-111-1-1-1-1111-1-1-1-11111-1-1111-111-1-1-11-111-1-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-11111-11-1-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-11-1-111-111-11-11111-1-1-1-111-111-1
χ12111111111111111-1-111111-1-11111-11-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-11-1-1111-1111-111-1-11111-1-11-1-11
χ13111111111111111-1-111111-1-111-1-11-1-1-111-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-11-11-1-111111-1-1-1-1-1-11-111
χ14111111111111111-1-111111-1-111-1-11-1-1-111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-111-1-1-1111-1111-1-1111111-11-1-1
χ15111111111111111-1-111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-111-11111111111-1-1-11-1-111-11-1-1-11-1-111-1-111-1-1-11-11
χ16111111111111111-1-111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-111-111-1-1111111-1-1-11-1-1111-1-11-11-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-222-2-222002-200-200-2-222-2-200-22-200000022220000000000-2-200000000000000
χ18222222-2-222222222-2222-2-222-2-2-2-2002-200-200-2-222-2-2002-22000000-2-2-2-200000000002200000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-22200-2200200-2-2-2-22200-2-22000000-2-2220000000000-2200000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-200-2200200-2-2-2-2220022-200000022-2-200000000002-200000000000000
χ2122222-122-1-1-1222-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-1000002200000000-1-1-1-1-1-122020000-1-1-1-10000-1-100
χ2222222-122-1-1-1222-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-100000-2-200000000-1-1-1-1-1-1-2-20-20000111100001100
χ2322222-122-1-1-1222-122-1-1-12222-1-100-2-2-1-1-2-22-2-2-1-1-1-1-1-1000002200000000111111-2-2020000-1-1-1-100001100
χ2422222-122-1-1-1222-122-1-1-12222-1-100-2-2-1-1-2-22-2-2-1-1-1-1-1-100000-2-200000000111111220-2000011110000-1-100
χ2522222-122-1-1-1222-1-2-2-1-1-122-2-2-1-1002-21122-2-2-2-1-11111000002200000000-11-1-1112-20-20000-1-1110000-1100
χ2622222-122-1-1-1222-1-2-2-1-1-122-2-2-1-1002-21122-2-2-2-1-1111100000-2-200000000-11-1-111-2202000011-1-100001-100
χ2722222-122-1-1-1222-1-2-2-1-1-122-2-2-1-100-2211-2-2-222-1-111110000022000000001-111-1-1-220-20000-1-11100001-100
χ2822222-122-1-1-1222-1-2-2-1-1-122-2-2-1-100-2211-2-2-222-1-1111100000-2-2000000001-111-1-12-202000011-1-10000-1100
χ292222-1222222-1-1-1-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-12222200-1-1-1-1-1-1-1-122-1-1-1-10020-1-1-1-1000000000000
χ302222-1222222-1-1-1-122-1-1-1-1-1-1-12222-2-22211-111-1-1-1-1-1-1-2-2222001111-1-1-1-1-2-2111100-20-1-111000000000000
χ312222-1222222-1-1-1-122-1-1-1-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2001111111122-1-1-1-100-201111000000000000
χ322222-1222222-1-1-1-122-1-1-1-1-1-1-122-2-2-2-22211-111-1-1-1-1-1-122-2-2-200-1-1-1-11111-2-21111002011-1-1000000000000
χ332222-1222222-1-1-1-1-2-2-1-1-1-1-11122222-2-2-2-1-1111-1-11111222-2-200-1-1-1-111-1-12-2-1-11100-20-1111000000000000
χ342222-1222222-1-1-1-1-2-2-1-1-1-1-1112222-22-2-2111-1-1-1-11111-2-22-2-200111111-1-1-2211-1-10020-11-1-1000000000000
χ352222-1222222-1-1-1-1-2-2-1-1-1-1-11122-2-22-2-2-2-1-1111-1-11111-2-2-222001111-1-1112-2-1-11100201-1-1-1000000000000
χ362222-1222222-1-1-1-1-2-2-1-1-1-1-11122-2-2-22-2-2111-1-1-1-1111122-22200-1-1-1-1-1-111-2211-1-100-201-111000000000000
χ372222-12-2-2222-1-1-1-12-2-1-1-111-1-1-2-222002-2−i3i31−i3i311-1-11100-22-200−i3−i3i3i3-1-1-1-100−i3i3−i3i3000011−i3i3000000000000
χ382222-12-2-2222-1-1-1-12-2-1-1-111-1-1-2-222002-2i3−i31i3−i311-1-11100-22-200i3i3−i3−i3-1-1-1-100i3−i3i3−i3000011i3−i3000000000000
χ392222-12-2-2222-1-1-1-12-2-1-1-111-1-1-2-2-2-2002-2−i3i31−i3i311-1-111002-2200i3i3−i3−i3111100−i3i3−i3i30000-1-1i3−i3000000000000
χ402222-12-2-2222-1-1-1-12-2-1-1-111-1-1-2-2-2-2002-2i3−i31i3−i311-1-111002-2200−i3−i3i3i3111100i3−i3i3−i30000-1-1−i3i3000000000000
χ412222-12-2-2222-1-1-1-1-22-1-1-11111-2-22200-22−i3i3-1i3−i31111-1-100-2-2200−i3−i3i3i311-1-100−i3i3i3−i300001-1i3−i3000000000000
χ422222-12-2-2222-1-1-1-1-22-1-1-11111-2-22200-22i3−i3-1−i3i31111-1-100-2-2200i3i3−i3−i311-1-100i3−i3−i3i300001-1−i3i3000000000000
χ432222-12-2-2222-1-1-1-1-22-1-1-11111-2-2-2-200-22−i3i3-1i3−i31111-1-10022-200i3i3−i3−i3-1-11100−i3i3i3−i30000-11−i3i3000000000000
χ442222-12-2-2222-1-1-1-1-22-1-1-11111-2-2-2-200-22i3−i3-1−i3i31111-1-10022-200−i3−i3i3i3-1-11100i3−i3−i3i30000-11i3−i3000000000000
χ4522-2-222-222-2-22-2-22002-2-22-2002-2000000000002-200002-20002i−2i2-22-20000000000000000002i−2i002i−2i000000
χ4622-2-222-222-2-22-2-22002-2-22-2002-2000000000002-200002-2000−2i2i2-22-2000000000000000000−2i2i00−2i2i000000
χ4722-2-222-222-2-22-2-22002-2-22-2002-2000000000002-20000-220002i−2i-22-220000000000000000002i−2i00−2i2i000000
χ4822-2-222-222-2-22-2-22002-2-22-2002-2000000000002-20000-22000−2i2i-22-22000000000000000000−2i2i002i−2i000000
χ4944444-2-4-4-2-2-2444-24-4-2-2-2-4-444220000-2200-40022-2-22200000000000000000000000000000000000000000
χ5044444-2-4-4-2-2-2444-2-44-2-2-2-4-4-4-42200002-2004002222-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-4-2-222-22211111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-4111-2-222-2-2004-422-2-222211-1-1-1-1000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-2-222-2-200-4422222-2-211-1-1-1-10000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-411122-2-2220000-22−2i32i32−2i32i3-1-111-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-411122-2-2220000-222i3−2i322i3−2i3-1-111-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122222200002-2−2i32i3-22i3−2i3-1-1-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222200002-22i3−2i3-2−2i32i3-1-1-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4444-44-4-44-4-44004-4-4-4400-4400000000000-44000000000000000000000000000000000000000000000
χ6044-4-44-24-4-2224-4-4-200-222-44002-2000000000002-20000000000000000000000000000000000023−2300000000
χ6144-4-44-24-4-2224-4-4-200-222-44002-2000000000002-200000000000000000000000000000000000−232300000000
χ6244-4-44-2-44-2224-4-4-200-2224-400-2200000000000-220000000004i−4i0000000000000000000000−2i2i0000000000
χ6344-4-44-2-44-2224-4-4-200-2224-400-2200000000000-22000000000−4i4i00000000000000000000002i−2i0000000000
χ6444-4-4-244-44-4-4-222-200-2222-200-44000000000002-200000000000−2i32i32i3−2i3000000000000000000000000000000
χ6544-4-4-244-44-4-4-222-200-2222-200-44000000000002-2000000000002i3−2i3−2i32i3000000000000000000000000000000
χ6644-4-4-24-444-4-4-222-200-222-22004-400000000000-2200004-400000-22-22000000000000000000000000000000
χ6744-4-4-24-444-4-4-222-200-222-22004-400000000000-220000-44000002-22-2000000000000000000000000000000
χ684-44-44400-44-4-44-4400-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-44-44400-44-4-44-4400-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ704-4-444400-4-44-4-44400-4-440000004-400000000000000000000000000004-400000000000000000000000000
χ714-4-444400-4-44-4-44400-4-44000000-440000000000000000000000000000-4400000000000000000000000000
χ724-4-44-2400-4-4422-2-20022-20023−23004-40000000000023−23000000000000023−23-2200000000000000000000000000
χ734-4-44-2400-4-4422-2-20022-20023−2300-440000000000023−230000000000000−23232-200000000000000000000000000
χ744-4-44-2400-4-4422-2-20022-200−2323004-400000000000−23230000000000000−2323-2200000000000000000000000000
χ754-4-44-2400-4-4422-2-20022-200−232300-4400000000000−2323000000000000023−232-200000000000000000000000000
χ7688-8-8-4-48-8-444-4442002-2-24-4004-400000000000-22000000000000000000000000000000000000000000000
χ7788-8-8-4-4-88-444-4442002-2-2-4400-44000000000002-2000000000000000000000000000000000000000000000
χ788-88-88-4004-44-88-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4800-88-84-44-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004-444-44200-22-20000000000000000000006i−6i00000000000000000000000000000000000000000
χ818-88-8-4-4004-444-44200-22-2000000000000000000000−6i6i00000000000000000000000000000000000000000
χ828-8-888-40044-4-8-88-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-4200-2-220043−43000000000000000−23230000000000000000000000000000000000000000000
χ848-8-88-4-40044-444-4200-2-2200−434300000000000000023−230000000000000000000000000000000000000000000

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