Finite Group Databasebeta

← Group #11895739

Character table — Group #11895739

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666634466612121212121244226666121212121212121212444448812121212121212126666662446681212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11
χ41111111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-11-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-111111-111-1-1-1-1-111-1-1-1-1-1111-11111-1-111111-111-1-1-11-1-1-1-11-111-1-111111-1-1-1
χ10111111111111111-1-111111-1-111111-111-1-1-1-1-111-1-1-1-1-1111-1-1-111-1-111111-111-1-1-1-11-1-111-1-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-11111-11-1-111-1-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11-1-1111-1111-11-111-1-1-1-111-111-1
χ12111111111111111-1-111111-1-11111-11-1-111-1-1-111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-11-1-11111-11111-1-1-11111-1-11-1-11
χ13111111111111111-1-111111-1-111-1-11-111-1-1-1-1-111-1-1-1-11-1-1-1111-1-111-1-1-1-11-111-1-111-111-1-1111-1-1-1-1-1-11-111
χ14111111111111111-1-111111-1-111-1-11-111-1-1-1-1-111-1-1-1-11-1-1-11-1-1-1-111-1-1-1-11-111-1-11-11111-11-1-1111111-11-1-1
χ15111111111111111-1-111111-1-111-1-1-11-1-111-1-1-111-1-1-1-1111-1111-1-1111111-11-1-111-1-11-1-1-1-1111-1-111-1-1-11-11
χ16111111111111111-1-111111-1-111-1-1-11-1-111-1-1-111-1-1-1-1111-11-1-1-1-1111111-11-1-111-11-1-1-11-11-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-222-2-2220000002-2-2-2-222-2-2200-2-20022220000000000000000-2-2000000000000
χ18222222-2-222222222-2222-2-222-2-2-2-20000002-2-2-2-222-2-2-2002200-2-2-2-2000000000000000022000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222000000-222-2-2-2-222-200-220022-2-20000000000000000-22000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2000000-222-2-2-2-2222002-200-2-22200000000000000002-2000000000000
χ2122222-1222-122-1-1-122-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-12222200-1-1-1-1-1-1-1-122-1-1-1-1200-1-10-1-1000000000000
χ2222222-1222-122-1-1-122-1-1-1-1-1-1-12222-2-2111122-1-1-1-1-1-1-12-2-22200-1-1-1-11111-2-21111-200110-1-1000000000000
χ2322222-1222-122-1-1-122-1-1-1-1-1-1-122-2-222-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-2001111111122-1-1-1-1-20011011000000000000
χ2422222-1222-122-1-1-122-1-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-222-2-2001111-1-1-1-1-2-21111200-1-1011000000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1-1-11122222-2-1-111-2-21-1-11111-2222-200-1-111-1-1-1-12-2-1-111-200110-11000000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1-1-1112222-2211-1-1-2-21-1-11111-2-2-22-200-1-1111111-2211-1-1200-1-10-11000000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1-1-11122-2-22-2-1-111-2-21-1-111112-2-2-220011-1-111112-2-1-111200-1-101-1000000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1-1-11122-2-2-2211-1-1-2-21-1-11111222-220011-1-1-1-1-1-1-2211-1-1-2001101-1000000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-111-1-1-2-22200−i3i3−i3i32-2111-1-111200-2-200-1-1-1-1−i3−i3i3i300−i3i3−i3i3000−i3i3011000000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-111-1-1-2-22200i3−i3i3−i32-2111-1-111200-2-200-1-1-1-1i3i3−i3−i300i3−i3i3−i3000i3−i3011000000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-111-1-1-2-2-2-200−i3i3−i3i32-2111-1-111-20022001111i3i3−i3−i300−i3i3−i3i3000i3−i30-1-1000000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-111-1-1-2-2-2-200i3−i3i3−i32-2111-1-111-20022001111−i3−i3i3i300i3−i3i3−i3000−i3i30-1-1000000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-11111-2-22200−i3i3i3−i3-22-11111-1-1-200-2200-1-111−i3−i3i3i300−i3i3i3−i3000i3−i301-1000000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-11111-2-22200i3−i3−i3i3-22-11111-1-1-200-2200-1-111i3i3−i3−i300i3−i3−i3i3000−i3i301-1000000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-11111-2-2-2-200−i3i3i3−i3-22-11111-1-12002-20011-1-1i3i3−i3−i300−i3i3i3−i3000−i3i30-11000000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-11111-2-2-2-200i3−i3−i3i3-22-11111-1-12002-20011-1-1−i3−i3i3i300i3−i3−i3i3000i3−i30-11000000000000
χ372222-1222-12-1-122-122-1-1-12222-1-100222222-1-12-1-1-1-1-1-1000002200000000-1-1-1-1-1-102200200-1-1-1-10000-1-100
χ382222-1222-12-1-122-122-1-1-12222-1-100222222-1-12-1-1-1-1-1-100000-2-200000000-1-1-1-1-1-10-2-200-200111100001100
χ392222-1222-12-1-122-122-1-1-12222-1-100-2-2-2-2-2-2-1-12-1-1-1-1-1-10000022000000001111110-2-200200-1-1-1-100001100
χ402222-1222-12-1-122-122-1-1-12222-1-100-2-2-2-2-2-2-1-12-1-1-1-1-1-100000-2-20000000011111102200-20011110000-1-100
χ412222-1222-12-1-122-1-2-2-1-1-122-2-2-1-1002-222-2-211-2-1-11111000002200000000-11-1-11102-200-200-1-1110000-1100
χ422222-1222-12-1-122-1-2-2-1-1-122-2-2-1-1002-222-2-211-2-1-1111100000-2-200000000-11-1-1110-220020011-1-100001-100
χ432222-1222-12-1-122-1-2-2-1-1-122-2-2-1-100-22-2-22211-2-1-111110000022000000001-111-1-10-2200-200-1-11100001-100
χ442222-1222-12-1-122-1-2-2-1-1-122-2-2-1-100-22-2-22211-2-1-1111100000-2-2000000001-111-1-102-20020011-1-10000-1100
χ4522-2-222-2222-2-2-2-22002-2-22-2002-2000000000002-2000002i−2i002i−2i00002i−2i2i−2i000000000000002i−2i002-2000000
χ4622-2-222-2222-2-2-2-22002-2-22-2002-2000000000002-2000002i−2i00−2i2i00002i−2i2i−2i00000000000000−2i2i00-22000000
χ4722-2-222-2222-2-2-2-22002-2-22-2002-2000000000002-200000−2i2i002i−2i0000−2i2i−2i2i000000000000002i−2i00-22000000
χ4822-2-222-2222-2-2-2-22002-2-22-2002-2000000000002-200000−2i2i00−2i2i0000−2i2i−2i2i00000000000000−2i2i002-2000000
χ494444-24-4-4-24-2-244-24-4-2-2-2-4-4442200000000-22-422-2-22200000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-44-2-2-2-4-4-4-422000000002-242222-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-42222-2-2-211111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-4111-2-222-2-2004-4-2-22222211-1-1-1-1000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-2-222-2-200-4422-2-222211-1-1-1-10000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-411122-2-2220000−2i32i3−2i32i3-222-1-111-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-411122-2-22200002i3−2i32i3−2i3-222-1-111-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-441112222220000−2i32i32i3−2i32-2-2-1-1-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222200002i3−2i3−2i32i32-2-2-1-1-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4444-444-4-4-4-44004-4-4-4400-4400000000000-44000000000000000000000000000000000000000000000
χ6044-4-44-24-44-2-4-422-200-2222-200-44000000000002-200000000000000023−23−232300000000000000000000000000
χ6144-4-44-24-44-2-4-422-200-2222-200-44000000000002-2000000000000000−232323−2300000000000000000000000000
χ6244-4-44-2-444-2-4-422-200-222-22004-400000000000-22000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ6344-4-44-2-444-2-4-422-200-222-22004-400000000000-2200000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ6444-4-4-244-4-2422-4-4-200-222-44002-2000000000002-20000000000000000000000000000000000023−2300000000
χ6544-4-4-244-4-2422-4-4-200-222-44002-2000000000002-200000000000000000000000000000000000−232300000000
χ6644-4-4-24-44-2422-4-4-200-2224-400-2200000000000-220000000004i−4i0000000000000000000000−2i2i0000000000
χ6744-4-4-24-44-2422-4-4-200-2224-400-2200000000000-22000000000−4i4i00000000000000000000002i−2i0000000000
χ684-44-44400-4-44-4-44400-44-40000004-400000000000000000000004-400000000000000000000000000000000
χ694-44-44400-4-44-4-44400-44-4000000-440000000000000000000000-4400000000000000000000000000000000
χ704-44-44-200-424-42-2-2002-2200−2i32i3004-400000000000−2i32i3000000000-22−2i32i3000000000000000000000000000000
χ714-44-44-200-424-42-2-2002-2200−2i32i300-4400000000000−2i32i30000000002-22i3−2i3000000000000000000000000000000
χ724-44-44-200-424-42-2-2002-22002i3−2i3004-4000000000002i3−2i3000000000-222i3−2i3000000000000000000000000000000
χ734-44-44-200-424-42-2-2002-22002i3−2i300-44000000000002i3−2i30000000002-2−2i32i3000000000000000000000000000000
χ744-4-444400-4-4-444-4400-4-44000000000000000000000000000000000000000000000000000000000022−220000
χ754-4-444400-4-4-444-4400-4-440000000000000000000000000000000000000000000000000000000000−22220000
χ7688-8-8-4-48-8-4-444442002-2-24-4004-400000000000-22000000000000000000000000000000000000000000000
χ7788-8-8-4-4-88-4-444442002-2-2-4400-44000000000002-2000000000000000000000000000000000000000000000
χ788-88-8-48004-8-44-88-4004-440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-444-4200-22-200−4i34i30000000000000002i3−2i30000000000000000000000000000000000000000000
χ808-88-8-4-40044-444-4200-22-2004i3−4i3000000000000000−2i32i30000000000000000000000000000000000000000000
χ818-8-888-400-84-88-44-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-84-48-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-44200-2-220000000000000000000006-600000000000000000000000000000000000000000
χ848-8-88-4-400444-4-44200-2-22000000000000000000000-6600000000000000000000000000000000000000000

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