Finite Group Databasebeta

← Group #11889149

Character table — Group #11889149

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666634466612121212121222226666121212121212121212222446666666688666666444812121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-111111-111-1-1-1-1-111-1-1-1-1-1111-111-1-11111111-111-1-1-1-11-11-1-1-111-1-111111-1-1-1
χ10111111111111111-1-111111-1-111111-111-1-1-1-1-111-1-1-1-1-1111-111-1-11111-1-11-111-1-11-1-111-1-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-11111-11-1-111-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-111-11-1-11111-1-11-11111-1-1-1-111-111-1
χ12111111111111111-1-111111-1-11111-11-1-111-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-11-1-111-11111-111-1-11111-1-11-1-11
χ13111111111111111-1-111111-1-111-1-11-111-1-1-1-1-111-1-1-1-11-1-1-11-1-111-1-1-1-1111-111-1-1-111-1-111111-1-1-1-1-1-11-111
χ14111111111111111-1-111111-1-111-1-11-111-1-1-1-1-111-1-1-1-11-1-1-11-1-111-1-1-1-1-1-11-111-1-111-11-1111-1-1111111-11-1-1
χ15111111111111111-1-111111-1-111-1-1-11-1-111-1-1-111-1-1-1-1111-11-1-111111111-11-1-1111-1-1-1-11-1-111-1-111-1-1-11-11
χ16111111111111111-1-111111-1-111-1-1-11-1-111-1-1-111-1-1-1-1111-11-1-1111111-1-1-11-1-111-1-111-11-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-22200000022-2-2-222-2-2-200-2222-2-20000000000000000-2200000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-200000022-2-2-222-2-22002-2-2-22200000000000000002-200000000000000
χ19222222-2-22222222-22222-2-222-2-222000000-2-22-2-2-2-222200-2-222220000000000000000-2-200000000000000
χ20222222-2-22222222-22222-2-222-2-2-2-2000000-2-22-2-2-2-222-20022-2-2-2-200000000000000002200000000000000
χ2122222-1222-122-1-1-122-1-1-1-1-1-1-1222222-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-10022-1-1-1-10200-1-1-1-1000000000000
χ2222222-1222-122-1-1-122-1-1-1-1-1-1-12222-2-21111-122-1-1-1-1-1-12-2-222-1-1-1-1111100-2-211110-200-1-111000000000000
χ2322222-1222-122-1-1-122-1-1-1-1-1-1-122-2-222-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111111110022-1-1-1-10-2001111000000000000
χ2422222-1222-122-1-1-122-1-1-1-1-1-1-122-2-2-2-21111-122-1-1-1-1-1-1-222-2-21111-1-1-1-100-2-21111020011-1-1000000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1-1-11122222-2-1-1111-2-2-1-11111-2222-2-1-111-1-1-1-1002-2-1-1110-200-1111000000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1-1-1112222-2211-1-11-2-2-1-11111-2-2-22-2-1-111111100-2211-1-10200-11-1-1000000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1-1-11122-2-22-2-1-1111-2-2-1-111112-2-2-2211-1-11111002-2-1-11102001-1-1-1000000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1-1-11122-2-2-2211-1-11-2-2-1-11111222-2211-1-1-1-1-1-100-2211-1-10-2001-111000000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-11111-2-22200−i3i3−i3i3-12-211-1-111-200-22-1-111−i3−i3i3i30000−i3i3−i3i300001-1−i3i3000000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-11111-2-22200i3−i3i3−i3-12-211-1-111-200-22-1-111i3i3−i3−i30000i3−i3i3−i300001-1i3−i3000000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-11111-2-2-2-200−i3i3−i3i3-12-211-1-1112002-211-1-1i3i3−i3−i30000−i3i3−i3i30000-11i3−i3000000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-11111-2-2-2-200i3−i3i3−i3-12-211-1-1112002-211-1-1−i3−i3i3i30000i3−i3i3−i30000-11−i3i3000000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-111-1-1-2-22200−i3i3i3−i31-221111-1-1200-2-2-1-1-1-1−i3−i3i3i30000−i3i3i3−i3000011i3−i3000000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-111-1-1-2-22200i3−i3−i3i31-221111-1-1200-2-2-1-1-1-1i3i3−i3−i30000i3−i3−i3i3000011−i3i3000000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-111-1-1-2-2-2-200−i3i3i3−i31-221111-1-1-200221111i3i3−i3−i30000−i3i3i3−i30000-1-1−i3i3000000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-111-1-1-2-2-2-200i3−i3−i3i31-221111-1-1-200221111−i3−i3i3i30000i3−i3−i3i30000-1-1i3−i3000000000000
χ372222-1222-12-1-122-122-1-1-12222-1-1002222222-1-1-1-1-1-1-1-1000000000000022-1-1-1-1-1-120220000-1-1-1-10000-1-100
χ382222-1222-12-1-122-122-1-1-12222-1-1002222222-1-1-1-1-1-1-1-10000000000000-2-2-1-1-1-1-1-1-20-2-20000111100001100
χ392222-1222-12-1-122-122-1-1-12222-1-100-2-2-2-2-2-22-1-1-1-1-1-1-1-1000000000000022111111-20-220000-1-1-1-100001100
χ402222-1222-12-1-122-122-1-1-12222-1-100-2-2-2-2-2-22-1-1-1-1-1-1-1-10000000000000-2-2111111202-2000011110000-1-100
χ412222-1222-12-1-122-1-2-2-1-1-122-2-2-1-1002-222-2-2-211-1-11111000000000000022-11-1-111-202-20000-1-1110000-1100
χ422222-1222-12-1-122-1-2-2-1-1-122-2-2-1-1002-222-2-2-211-1-111110000000000000-2-2-11-1-11120-22000011-1-100001-100
χ432222-1222-12-1-122-1-2-2-1-1-122-2-2-1-100-22-2-222-211-1-111110000000000000221-111-1-120-2-20000-1-11100001-100
χ442222-1222-12-1-122-1-2-2-1-1-122-2-2-1-100-22-2-222-211-1-111110000000000000-2-21-111-1-1-2022000011-1-10000-1100
χ452-22-2222-22-2-2-22-22002-2-22-2002-2000000000002-2000002-20000002-22-22i−2i000000000000002i−2i002i−2i000000
χ462-22-2222-22-2-2-22-22002-2-22-2002-2000000000002-2000002-20000002-22-2−2i2i00000000000000−2i2i00−2i2i000000
χ472-22-2222-22-2-2-22-22002-2-22-2002-2000000000002-200000-22000000-22-222i−2i000000000000002i−2i00−2i2i000000
χ482-22-2222-22-2-2-22-22002-2-22-2002-2000000000002-200000-22000000-22-22−2i2i00000000000000−2i2i002i−2i000000
χ494444-24-4-4-24-2-244-24-4-2-2-2-4-4-4-422000000004-2222-2-22200000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-44-2-2-2-4-4442200000000-42-22222-2-200000000000000000000000000000000000000000
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
χ554444-2-2-4-4-2-2-2-2-2-214-41112222220000−2i32i3−2i32i3-2-22-1-111-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-411122222200002i3−2i32i3−2i3-2-22-1-111-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122-2-2220000−2i32i32i3−2i322-2-1-1-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122-2-22200002i3−2i3−2i32i322-2-1-1-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-44400-444-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ6044-4-44400-444-4-4-4400-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ614-44-444-444-4-4-44-44004-4-4-4400-4400000000000-44000000000000000000000000000000000000000000000
χ624-44-44-24-442-4-4-22-200-222-22004-400000000000-22000004-4000000-22-220000000000000000000000000000
χ634-44-44-24-442-4-4-22-200-222-22004-400000000000-2200000-440000002-22-20000000000000000000000000000
χ644-44-44-2-4442-4-4-22-200-2222-200-44000000000002-20000000000000−2i32i32i3−2i30000000000000000000000000000
χ654-44-44-2-4442-4-4-22-200-2222-200-44000000000002-200000000000002i3−2i3−2i32i30000000000000000000000000000
χ664-44-4-244-4-2-4224-4-200-2224-400-2200000000000-22000000000000000004i−4i00000000000000−2i2i0000000000
χ674-44-4-244-4-2-4224-4-200-2224-400-2200000000000-2200000000000000000−4i4i000000000000002i−2i0000000000
χ684-44-4-24-44-2-4224-4-200-222-44002-2000000000002-20000000000000000000000000000000000023−2300000000
χ694-44-4-24-44-2-4224-4-200-222-44002-2000000000002-200000000000000000000000000000000000−232300000000
χ704-4-444400-4-4-44-44400-4-440000004-4000000000000000000004-40000000000000000000000000000000000
χ714-4-444400-4-4-44-44400-4-44000000-4400000000000000000000-440000000000000000000000000000000000
χ724-4-444-200-42-442-2-20022-200−2i32i3004-40000000000000−2i32i300000-22−2i32i300000000000000000000000000000000
χ734-4-444-200-42-442-2-20022-200−2i32i300-440000000000000−2i32i3000002-22i3−2i300000000000000000000000000000000
χ744-4-444-200-42-442-2-20022-2002i3−2i3004-400000000000002i3−2i300000-222i3−2i300000000000000000000000000000000
χ754-4-444-200-42-442-2-20022-2002i3−2i300-4400000000000002i3−2i3000002-2−2i32i300000000000000000000000000000000
χ7688-8-88-400-8-48-844-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-480048-44-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-4-4444200-22-200000000000000000006-60000000000000000000000000000000000000000000
χ7988-8-8-4-4004-4-4444200-22-20000000000000000000-660000000000000000000000000000000000000000000
χ808-88-8-4-48-8-4444-442002-2-2-4400-44000000000002-2000000000000000000000000000000000000000000000
χ818-88-8-4-4-88-4444-442002-2-24-4004-400000000000-22000000000000000000000000000000000000000000000
χ828-8-88-48004-84-4-88-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-4200-2-2200−4i34i3000000000000000002i3−2i300000000000000000000000000000000000000000
χ848-8-88-4-400444-44-4200-2-22004i3−4i300000000000000000−2i32i300000000000000000000000000000000000000000

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