Finite Group Databasebeta

← Group #11884632

Character table — Group #11884632

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666634466612121212121212124444121212121212121212121212222244466668812121212121212121212446681212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111-1-111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-111-1-1-1-111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-11-1-11-1-111111111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-11111-1-111-1
χ9111111111111111-1-1111-1-1-1-11111111-1-1-111-1-1-1-1-1-1111-111-11111111111-1-11-111-1-1-1-11-1-1-1-1-1-11111-1-1111-1-1
χ10111111111111111-1-1111-1-1-1-11111111-1-1-111-1-1-1-1-1-1111-111-1-1-11111-1-111-1-11-111-1-1-111-11-1-111-1-1-1-111-1-1-111
χ11111111111111111-1-1111-1-1-1-1111111-11-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-11-1-1111-11-1111-1-111-1-111-1-11-11
χ12111111111111111-1-1111-1-1-1-1111111-11-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111111-1-11111-1-111-1-111-11-1
χ13111111111111111-1-1111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-111-11-1-1111-1-1-1-111-1-1111-111-1-11-1-11-111-1-11111-1-1-1-1-111
χ14111111111111111-1-1111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1111-111-1-111-1111111-1-1-1-111111-1-1
χ15111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-111-11111111111-1-1-1-111-11-1-111-1-1-111-1-1-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-111-11111-1-1111111-1-111-11-1-111-11-11-1-1-111-1-111-1-1-1-11-11
χ17222222-2-222222222-222222-2-2-2-2-2-222002-2000022-2-2-2-2-2200-20000000022-2-200000000-220000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2002-2000022-2-2-2-22-200200000000-2-222000000002-20000000000000000
χ19222222-2-22222222-22222-2-222-2-2-2-22200-220000-2-222-2-2-2-200200000000222200000000-2-20000000000000000
χ20222222-2-22222222-22222-2-222-2-2-2-2-2-200-220000-2-222-2-22200-200000000-2-2-2-200000000220000000000000000
χ2122222-1222-12-12-1-122-1-1-122-1-12-1-122222-12-1-1-1-1-1-1-1-1-1-12222200-1-1-1-100-1-1-1-122-1-1-1-120-1-10-1-10000000000000
χ2222222-1222-12-12-1-122-1-1-122-1-12-1-1222-2-2-121111-1-1-1-1-1-122-2-2200111100-1-1-1-1-2-21111-20-1-10110000000000000
χ2322222-1222-12-12-1-122-1-1-122-1-12-1-12-2-222-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200111100111122-1-1-1-1-20110110000000000000
χ2422222-1222-12-12-1-122-1-1-122-1-12-1-12-2-2-2-2-121111-1-1-1-1-1-1-2-222-200-1-1-1-1001111-2-2111120110-1-10000000000000
χ2522222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-12222-21-2-1-1111111-1-12-222-200-1-1-1-100-1-1112-2-1-111-20-110110000000000000
χ2622222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-1222-221-211-1-11111-1-12-2-2-2-200111100-1-111-2211-1-120-110-1-10000000000000
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-12-2-22-21-2-1-1111111-1-1-22-2-220011110011-1-12-2-1-111201-10-1-10000000000000
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-2112-1-12-2-2-221-211-1-11111-1-1-2222200-1-1-1-10011-1-1-2211-1-1-201-10110000000000000
χ2922222-1-2-22-12-12-1-12-2-1-1-12211-211-22200-1-2−i3i3−i3i3-1-11111-2200-200−i3−i3i3i300-1-11100−i3i3−i3i3001-10−i3i30000000000000
χ3022222-1-2-22-12-12-1-12-2-1-1-12211-211-22200-1-2i3−i3i3−i3-1-11111-2200-200i3i3−i3−i300-1-11100i3−i3i3−i3001-10i3−i30000000000000
χ3122222-1-2-22-12-12-1-12-2-1-1-12211-211-2-2-200-1-2−i3i3−i3i3-1-111112-200200i3i3−i3−i30011-1-100−i3i3−i3i300-110i3−i30000000000000
χ3222222-1-2-22-12-12-1-12-2-1-1-12211-211-2-2-200-1-2i3−i3i3−i3-1-111112-200200−i3−i3i3i30011-1-100i3−i3i3−i300-110−i3i30000000000000
χ3322222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-2220012−i3i3i3−i311-1-111-2-200200−i3−i3i3i300-1-1-1-100−i3i3i3−i300110i3−i30000000000000
χ3422222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-2220012i3−i3−i3i311-1-111-2-200200i3i3−i3−i300-1-1-1-100i3−i3−i3i300110−i3i30000000000000
χ3522222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-2-2-20012−i3i3i3−i311-1-1112200-200i3i3−i3−i300111100−i3i3i3−i300-1-10−i3i30000000000000
χ3622222-1-2-22-12-12-1-1-22-1-1-1-2-2-1-1-211-2-2-20012i3−i3−i3i311-1-1112200-200−i3−i3i3i300111100i3−i3−i3i300-1-10i3−i30000000000000
χ372222-1222-12-12-12-122-1-1-1-1-122-122-100222-12222-1-1-1-1-1-100000220000220000-1-1-1-1-1-10200200-1-1-1-1-1-1-1-100000
χ382222-1222-12-12-12-122-1-1-1-1-122-122-100222-12222-1-1-1-1-1-100000-2-20000-2-20000-1-1-1-1-1-10-200-2001111111100000
χ392222-1222-12-12-12-122-1-1-1-1-122-122-100-2-22-1-2-2-2-2-1-1-1-1-1-100000220000-2-200001111110200-200-1-1-1-1111100000
χ402222-1222-12-12-12-122-1-1-1-1-122-122-100-2-22-1-2-2-2-2-1-1-1-1-1-100000-2-200002200001111110-2002001111-1-1-1-100000
χ412222-1222-12-12-12-1-2-2-1-1-111-2-2-122-1002-2-2122-2-21111-1-100000220000220000-11-1-1110-200-20011-1-1-1-11100000
χ422222-1222-12-12-12-1-2-2-1-1-111-2-2-122-1002-2-2122-2-21111-1-100000-2-20000-2-20000-11-1-1110200200-1-11111-1-100000
χ432222-1222-12-12-12-1-2-2-1-1-111-2-2-122-100-22-21-2-2221111-1-100000220000-2-200001-111-1-10-20020011-1-111-1-100000
χ442222-1222-12-12-12-1-2-2-1-1-111-2-2-122-100-22-21-2-2221111-1-100000-2-200002200001-111-1-10200-200-1-111-1-11100000
χ452-2-2222-22-2-2-2-222200-2-220000-22-22000000000000002-2002-202-22-22-20000000000000000000002-200002-2000
χ462-2-2222-22-2-2-2-222200-2-220000-22-22000000000000002-2002-20-222-22-2000000000000000000000-220000-22000
χ472-2-2222-22-2-2-2-222200-2-220000-22-22000000000000002-200-2202-2-22-220000000000000000000002-20000-22000
χ482-2-2222-22-2-2-2-222200-2-220000-22-22000000000000002-200-220-22-22-22000000000000000000000-2200002-2000
χ494444-24-4-4-24-24-24-24-4-2-2-2-2-2-4-42-4-420000420000-2-222220000000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-2-44-2-2-222442-4-420000-4-2000022-2-2220000000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-4-2-222221111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-2004-422-2-222-1-1-1-11100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-200-442222-2-2-1-1-1-111000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000-22−2i32i3−2i32i311-1-1-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000-222i3−2i32i3−2i311-1-1-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122-2-2222200002-2−2i32i32i3−2i3-1-111-1-10000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122-2-2222200002-22i3−2i3−2i32i3-1-111-1-10000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4440044-4-4-4-44004-4-40000000000000000000000000000000000022−2200000000000000000000022−220000000
χ6044-4-4440044-4-4-4-44004-4-400000000000000000000000000000000000−2222000000000000000000000−22220000000
χ6144-4-4-2400-242-42-4-200-222−2i32i30000000000000000−2i32i300000000000000022−22000000000000000000000−22i6−i600000
χ6244-4-4-2400-242-42-4-200-222−2i32i30000000000000000−2i32i3000000000000000−22220000000000000000000002−2−i6i600000
χ6344-4-4-2400-242-42-4-200-2222i3−2i300000000000000002i3−2i300000000000000022−22000000000000000000000−22−i6i600000
χ6444-4-4-2400-242-42-4-200-2222i3−2i300000000000000002i3−2i3000000000000000−22220000000000000000000002−2i6−i600000
χ654-44-44400-4-444-4-4400-44-4000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ664-44-44400-4-444-4-4400-44-400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ674-44-44-200-424-2-42-2002-2200−2i32i300004i−4i0000000000−2i32i3000000000000000−2i2i23−2300000000000000000000000000
χ684-44-44-200-424-2-42-2002-2200−2i32i30000−4i4i0000000000−2i32i30000000000000002i−2i−232300000000000000000000000000
χ694-44-44-200-424-2-42-2002-22002i3−2i300004i−4i00000000002i3−2i3000000000000000−2i2i−232300000000000000000000000000
χ704-44-44-200-424-2-42-2002-22002i3−2i30000−4i4i00000000002i3−2i30000000000000002i−2i23−2300000000000000000000000000
χ714-4-44444-4-4-4-4-444400-4-4400004-44-400000000000000-440000000000000000000000000000000000000000000
χ724-4-444-24-4-42-424-2-20022-2000042-2-4000000000000002-20000000−2i32i32i3−2i300000000000000000000000000000000
χ734-4-444-24-4-42-424-2-20022-2000042-2-4000000000000002-200000002i3−2i3−2i32i300000000000000000000000000000000
χ744-4-444-2-44-42-424-2-20022-20000-4-22400000000000000-22004-4000-22-2200000000000000000000000000000000
χ754-4-444-2-44-42-424-2-20022-20000-4-22400000000000000-2200-440002-22-200000000000000000000000000000000
χ764-4-44-244-42-42-4-24-20022-20000-2-442000000000000002-200000000000000000000000000000023−2300000000000
χ774-4-44-244-42-42-4-24-20022-20000-2-442000000000000002-2000000000000000000000000000000−232300000000000
χ784-4-44-24-442-42-4-24-20022-2000024-4-200000000000000-22000004-40000000000000000000000000-22000000000
χ794-4-44-24-442-42-4-24-20022-2000024-4-200000000000000-2200000-4400000000000000000000000002-2000000000
χ8088-8-88-4008-4-84-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-2−4i34i300000000000000002i3−2i300000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-24i3−4i30000000000000000−2i32i300000000000000000000000000000000000000000000000
χ838-88-8-48004-8-484-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-40044-4-444200-22-200−4i34i300000000000000002i3−2i3000000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-444200-22-2004i3−4i30000000000000000−2i32i3000000000000000000000000000000000000000000000
χ868-8-88-4-48-84444-4-4200-2-220000-44-4400000000000000-220000000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4200-2-2200004-44-4000000000000002-20000000000000000000000000000000000000000000

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