Finite Group Databasebeta

← Group #11884151

Character table — Group #11884151

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666344666121212121212224412121212121212121212121212244446666881212121212121212121224481212121224242424228861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-11
χ41111111111111111111111111111-1-1111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11-1-1-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-111-11-11111-1-11111111-111-1-11-1-1-1-1-11-111-1-111111-1-1-1
χ10111111111111111-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-111-11-11111-1-1-1-111111-111-1-1-11-11-1-11-1-1-111-1-1-1-1-1111
χ11111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-111-11-1-1-111-1-111-1-1-1-1-11-1-111-111-1111-111-1-1-1-111-111-1
χ12111111111111111-1-1111-1-1111111-11-1-1-1-1-111-1-1-1-111-11-1-1-111-1-1-1-1-1-1-1-1-11-1-1111-111111-1-1-11111-1-11-1-11
χ13111111111111111-1-1111-1-11111-1-11-1-1-1-111-1-1-1-1-1-1111-11-1-1-1-11111-1-1-1-11-111-1-11-11-111-1111-1-1-1-1-1-11-111
χ14111111111111111-1-1111-1-11111-1-11-1-1-1-111-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-1-1-11-111-1-1-111111-11-1-1111111-11-1-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-1111-1111-1-111111111-11-1-111-11-1-1-1-1-1111-1-111-1-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-111-1-1-1-1111-1111-1-111-1-11111-11-1-1111-1-11-1-1-11-1-111-1-1111-11-1
χ17222222-2-222222222-222222-2-2-2-222002-2-2000022-2-2-2-22-2-2002222000000000000000000-2-2000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2002-2-2000022-2-2-2-2-22200-2-2-2-200000000000000000022000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-22200-2220000-2-222-2-2-2-220022-2-2000000000000000000-22000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-200-2220000-2-222-2-222-200-2-2220000000000000000002-2000000000000
χ2122222-12222-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-100-1-1-1-122-1-1-1-10020-1-1-1-1000000000000
χ2222222-12222-1-12-1-122-1-1-1-1-1-1-12222-2-222-11111-1-1-1-1-1-1222-2-2-1-1-1-1001111-2-2111100-2011-1-1000000000000
χ2322222-12222-1-12-1-122-1-1-1-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111100111122-1-1-1-100-201111000000000000
χ2422222-12222-1-12-1-122-1-1-1-1-1-1-122-2-2-2-222-11111-1-1-1-1-1-1-2-2-222111100-1-1-1-1-2-211110020-1-111000000000000
χ2522222-12222-1-12-1-1-2-2-1-1-111-1-122222-2-2-21-1-1111111-1-1-22-222-1-11100-1-1-1-12-2-1-11100-2011-11000000000000
χ2622222-12222-1-12-1-1-2-2-1-1-111-1-12222-22-2-2111-1-11111-1-1-22-2-2-2-1-111001111-2211-1-10020-1-1-11000000000000
χ2722222-12222-1-12-1-1-2-2-1-1-111-1-122-2-22-2-2-21-1-1111111-1-12-22-2-211-1-10011112-2-1-1110020-1-11-1000000000000
χ2822222-12222-1-12-1-1-2-2-1-1-111-1-122-2-2-22-2-2111-1-11111-1-12-222211-1-100-1-1-1-1-2211-1-100-20111-1000000000000
χ2922222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-222002-21−i3i3−i3i3-1-111112-2-200-1-1-1-100−i3−i3i3i300−i3i3−i3i30000−i3i311000000000000
χ3022222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-222002-21i3−i3i3−i3-1-111112-2-200-1-1-1-100i3i3−i3−i300i3−i3i3−i30000i3−i311000000000000
χ3122222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-2-2-2002-21−i3i3−i3i3-1-11111-22200111100i3i3−i3−i300−i3i3−i3i30000i3−i3-1-1000000000000
χ3222222-1-2-222-1-12-1-12-2-1-1-1-1-111-2-2-2-2002-21i3−i3i3−i3-1-11111-22200111100−i3−i3i3i300i3−i3i3−i30000−i3i3-1-1000000000000
χ3322222-1-2-222-1-12-1-1-22-1-1-11111-2-22200-22-1−i3i3i3−i311-1-111-2-2200-1-11100−i3−i3i3i300−i3i3i3−i30000i3−i31-1000000000000
χ3422222-1-2-222-1-12-1-1-22-1-1-11111-2-22200-22-1i3−i3−i3i311-1-111-2-2200-1-11100i3i3−i3−i300i3−i3−i3i30000−i3i31-1000000000000
χ3522222-1-2-222-1-12-1-1-22-1-1-11111-2-2-2-200-22-1−i3i3i3−i311-1-11122-20011-1-100i3i3−i3−i300−i3i3i3−i30000−i3i3-11000000000000
χ3622222-1-2-222-1-12-1-1-22-1-1-11111-2-2-2-200-22-1i3−i3−i3i311-1-11122-20011-1-100−i3−i3i3i300i3−i3−i3i30000i3−i3-11000000000000
χ372222-1222-1-122-12-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-1000000000220000-1-1-1-1-1-122020000-1-1-1-10000-1-100
χ382222-1222-1-122-12-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-1000000000-2-20000-1-1-1-1-1-1-2-20-20000111100001100
χ392222-1222-1-122-12-122-1-1-12222-1-100-2-2-1-12-2-2-2-2-1-1-1-1-1-1000000000220000111111-2-2020000-1-1-1-100001100
χ402222-1222-1-122-12-122-1-1-12222-1-100-2-2-1-12-2-2-2-2-1-1-1-1-1-1000000000-2-20000111111220-2000011110000-1-100
χ412222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-211-222-2-21111-1-1000000000220000-11-1-1112-20-20000-1-1110000-1100
χ422222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-211-222-2-21111-1-1000000000-2-20000-11-1-111-2202000011-1-100001-100
χ432222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-2211-2-2-2221111-1-10000000002200001-111-1-1-220-20000-1-11100001-100
χ442222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-2211-2-2-2221111-1-1000000000-2-200001-111-1-12-202000011-1-10000-1100
χ452-22-222-22-2-2-2-222200-2-22002-22-20000000000000002-20002-200002-22-22-2000000000000002-2002-2000000
χ462-22-222-22-2-2-2-222200-2-22002-22-20000000000000002-20002-20000-222-22-200000000000000-2200-22000000
χ472-22-222-22-2-2-2-222200-2-22002-22-20000000000000002-2000-2200002-2-22-22000000000000002-200-22000000
χ482-22-222-22-2-2-2-222200-2-22002-22-20000000000000002-2000-220000-22-22-2200000000000000-22002-2000000
χ494444-24-4-4-2-244-24-24-4-2-2-244-4-4220000-22-40000-2-2222200000000000000000000000000000000000000000
χ504444-24-4-4-2-244-24-2-44-2-2-2-4-4-4-42200002-24000022-2-22200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-4-2-2-2222211111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2004-4222-2-222-1-1-1-111000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-4422222-2-2-1-1-1-1110000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000-222−2i32i3−2i32i311-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000-2222i3−2i32i3−2i311-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122222200002-2-2−2i32i32i3−2i3-1-111-1-100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222200002-2-22i3−2i3−2i32i3-1-111-1-100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444004-44-4-4-44004-4-40000004-4000000000000000000004-40000000000000000000000000000000000
χ6044-4-444004-44-4-4-44004-4-4000000-4400000000000000000000-440000000000000000000000000000000000
χ6144-4-44-2004-4-22-42-200-222−2i32i300004-4000000000−2i32i3000000000-22−2i32i300000000000000000000000000000000
χ6244-4-44-2004-4-22-42-200-222−2i32i30000-44000000000−2i32i30000000002-22i3−2i300000000000000000000000000000000
χ6344-4-44-2004-4-22-42-200-2222i3−2i300004-40000000002i3−2i3000000000-222i3−2i300000000000000000000000000000000
χ6444-4-44-2004-4-22-42-200-2222i3−2i30000-440000000002i3−2i30000000002-2−2i32i300000000000000000000000000000000
χ654-44-4444-4-4-4-4-444400-4-4400-44-44000000000000000-4400000000000000000000000000000000000000000
χ664-44-44-24-4-4-4224-2-20022-2002-2-440000000000000002-200000000000−2i32i32i3−2i300000000000000000000000000
χ674-44-44-24-4-4-4224-2-20022-2002-2-440000000000000002-2000000000002i3−2i3−2i32i300000000000000000000000000
χ684-44-44-2-44-4-4224-2-20022-200-224-4000000000000000-220004-4000000-22-2200000000000000000000000000
χ694-44-44-2-44-4-4224-2-20022-200-224-4000000000000000-22000-440000002-22-200000000000000000000000000
χ704-44-4-244-422-4-4-24-20022-200-442-20000000000000002-20000000000000000000000000000000−2i32i300000000
χ714-44-4-244-422-4-4-24-20022-200-442-20000000000000002-200000000000000000000000000000002i3−2i300000000
χ724-44-4-24-4422-4-4-24-20022-2004-4-22000000000000000-220000000004-4000000000000000000-220000000000
χ734-44-4-24-4422-4-4-24-20022-2004-4-22000000000000000-22000000000-440000000000000000002-20000000000
χ744-4-444400-44-44-4-4400-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ754-4-444400-44-44-4-4400-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ7688-8-8-4800-448-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-44-44442002-2-2−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-44442002-2-24i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000000
χ798-88-8-4-48-84444-4-4200-2-22004-44-4000000000000000-2200000000000000000000000000000000000000000
χ808-88-8-4-4-884444-4-4200-2-2200-44-440000000000000002-200000000000000000000000000000000000000000
χ818-8-888-400-884-4-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-4-884-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-44-444200-22-200000000000000000006-60000000000000000000000000000000000000000000
χ848-8-88-4-4004-44-444200-22-20000000000000000000-660000000000000000000000000000000000000000000

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