Finite Group Databasebeta

← Group #11889455

Character table — Group #11889455

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order122233446666663446661212121212121212224412121212121212121212121224444446666881212121212121212121244812121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111-1-11111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-11111111-11-1-11111-1-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1
χ9111111111111111-1-1111-1-1-1-11111111-1-1-111-1-1-1-1-1-111-11-1111111-1-11111111-111-1-1-1-1-1-1-111-1-11-111-1-1111-1-1
χ10111111111111111-1-1111-1-1-1-11111111-1-1-111-1-1-1-1-1-111-11-111-1-111-1-1-1-111111-111-1-11-11-1-1-1-1111-1-1-111-1-1-111
χ11111111111111111-1-1111-1-1-1-1111111-11-1-1-1-111-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111111-1-11-1-1-111-1-11-11
χ12111111111111111-1-1111-1-1-1-1111111-11-1-1-1-111-1-1-1-111-11-1-1-1-1-111-1-111-1-1-1-1-11-1-11111-111-1-1111-111-1-111-11-1
χ13111111111111111-1-1111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-1111-11-1-111-1-11111-1-1-1-11-111-1-1-11-11111-1-1-1111-1-1-1-1-111
χ14111111111111111-1-1111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-1111-11-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111111-1-111-11-1-111111-1-1
χ15111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-1111-111111-1-111-1-11111-11-1-111-1-11-1-111-1-1-11-1-11111-11-1
χ16111111111111111-1-1111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-1111-1111-1-1-1-111111111-11-1-1111-1-1-1-1-1-111-1111-1-1-1-11-11
χ17222222-2-222222222-222222-2-2-2-2-2-222002-2000022-2-2-2-22-2-200002222000000000000000000000-2-2000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2002-2000022-2-2-2-2-2220000-2-2-2-200000000000000000000022000000000
χ19222222-2-22222222-22222-2-222-2-2-2-22200-220000-2-222-2-2-2-22000022-2-2000000000000000000000-22000000000
χ20222222-2-22222222-22222-2-222-2-2-2-2-2-200-220000-2-222-2-222-20000-2-2220000000000000000000002-2000000000
χ2122222-1222-12-12-1-122-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-12222200-1-1-1-100-1-1-1-122-1-1-1-1020-1-10000-1-1000000000
χ2222222-1222-12-12-1-122-1-1-1-1-1222-1-1222-2-22-11111-1-1-1-1-1-1222-2-200-1-1-1-1001111-2-211110-20110000-1-1000000000
χ2322222-1222-12-12-1-122-1-1-1-1-1222-1-12-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200111100111122-1-1-1-10-2011000011000000000
χ2422222-1222-12-12-1-122-1-1-1-1-1222-1-12-2-2-2-22-11111-1-1-1-1-1-1-2-2-22200111100-1-1-1-1-2-21111020-1-1000011000000000
χ2522222-1222-12-12-1-1-2-2-1-1-111-2-22-1-12222-2-21-1-1111111-1-1-22-22200-1-11100-1-1-1-12-2-1-1110-20110000-11000000000
χ2622222-1222-12-12-1-1-2-2-1-1-111-2-22-1-1222-22-2111-1-11111-1-1-22-2-2-200-1-111001111-2211-1-1020-1-10000-11000000000
χ2722222-1222-12-12-1-1-2-2-1-1-111-2-22-1-12-2-22-2-21-1-1111111-1-12-22-2-20011-1-10011112-2-1-111020-1-100001-1000000000
χ2822222-1222-12-12-1-1-2-2-1-1-111-2-22-1-12-2-2-22-2111-1-11111-1-12-22220011-1-100-1-1-1-1-2211-1-10-201100001-1000000000
χ2922222-1-2-22-12-12-1-12-2-1-1-1-1-1-2-2-211-2220021−i3i3−i3i3-1-111112-2-20000-1-1-1-100−i3−i3i3i300−i3i3−i3i3000−i3i3000011000000000
χ3022222-1-2-22-12-12-1-12-2-1-1-1-1-1-2-2-211-2220021i3−i3i3−i3-1-111112-2-20000-1-1-1-100i3i3−i3−i300i3−i3i3−i3000i3−i3000011000000000
χ3122222-1-2-22-12-12-1-12-2-1-1-1-1-1-2-2-211-2-2-20021−i3i3−i3i3-1-11111-2220000111100i3i3−i3−i300−i3i3−i3i3000i3−i30000-1-1000000000
χ3222222-1-2-22-12-12-1-12-2-1-1-1-1-1-2-2-211-2-2-20021i3−i3i3−i3-1-11111-2220000111100−i3−i3i3i300i3−i3i3−i3000−i3i30000-1-1000000000
χ3322222-1-2-22-12-12-1-1-22-1-1-11122-211-22200-2-1−i3i3i3−i311-1-111-2-220000-1-11100−i3−i3i3i300−i3i3i3−i3000i3−i300001-1000000000
χ3422222-1-2-22-12-12-1-1-22-1-1-11122-211-22200-2-1i3−i3−i3i311-1-111-2-220000-1-11100i3i3−i3−i300i3−i3−i3i3000−i3i300001-1000000000
χ3522222-1-2-22-12-12-1-1-22-1-1-11122-211-2-2-200-2-1−i3i3i3−i311-1-11122-2000011-1-100i3i3−i3−i300−i3i3i3−i3000−i3i30000-11000000000
χ3622222-1-2-22-12-12-1-1-22-1-1-11122-211-2-2-200-2-1i3−i3−i3i311-1-11122-2000011-1-100−i3−i3i3i300i3−i3−i3i3000i3−i30000-11000000000
χ372222-1222-12-12-12-122-1-1-122-1-1-122-10022-122222-1-1-1-1-1-100000220000220000-1-1-1-1-1-120200-1-1-1-100-1-1-1-100000
χ382222-1222-12-12-12-122-1-1-122-1-1-122-10022-122222-1-1-1-1-1-100000-2-20000-2-20000-1-1-1-1-1-1-20-200111100111100000
χ392222-1222-12-12-12-122-1-1-122-1-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-100000220000-2-2000011111120-200-1-1-1-100111100000
χ402222-1222-12-12-12-122-1-1-122-1-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-100000-2-20000220000111111-20200111100-1-1-1-100000
χ412222-1222-12-12-12-1-2-2-1-1-1-2-211-122-1002-21-222-2-21111-1-100000220000220000-11-1-111-20-200-1-11100-1-11100000
χ422222-1222-12-12-12-1-2-2-1-1-1-2-211-122-1002-21-222-2-21111-1-100000-2-20000-2-20000-11-1-1112020011-1-10011-1-100000
χ432222-1222-12-12-12-1-2-2-1-1-1-2-211-122-100-221-2-2-2221111-1-100000220000-2-200001-111-1-1-20200-1-1110011-1-100000
χ442222-1222-12-12-12-1-2-2-1-1-1-2-211-122-100-221-2-2-2221111-1-100000-2-200002200001-111-1-120-20011-1-100-1-11100000
χ4522-2-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-20002-22i−2i0000002-22-2000000000002i−2i000000002i−2i000
χ4622-2-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-20002-2−2i2i0000002-22-200000000000−2i2i00000000−2i2i000
χ4722-2-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-2000-222i−2i000000-22-22000000000002i−2i00000000−2i2i000
χ4822-2-2222-2-2-2-2-222200-2-22000022-2-2000000000000002-2000-22−2i2i000000-22-2200000000000−2i2i000000002i−2i000
χ494444-24-4-4-24-24-24-24-4-2-2-244222-4-420000-2-40000-2-222220000000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-2-44-2-2-2-4-4-2-22-4-42000024000022-2-2220000000000000000000000000000000000000000000
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
χ5944-4-444-44-4-4-4-444400-4-440000-4-44400000000000000-440000000000000000000000000000000000000000000
χ6044-4-44-24-4-42-424-2-20022-200004-22-400000000000000-220004-400000000-22-2200000000000000000000000000
χ6144-4-44-24-4-42-424-2-20022-200004-22-400000000000000-22000-44000000002-22-200000000000000000000000000
χ6244-4-44-2-44-42-424-2-20022-20000-42-24000000000000002-20000000000000−2i32i32i3−2i300000000000000000000000000
χ6344-4-44-2-44-42-424-2-20022-20000-42-24000000000000002-200000000000002i3−2i3−2i32i300000000000000000000000000
χ6444-4-4-244-42-42-4-24-20022-20000-24-4200000000000000-22000004i−4i000000000000000000000−2i2i0000000000000
χ6544-4-4-244-42-42-4-24-20022-20000-24-4200000000000000-2200000−4i4i0000000000000000000002i−2i0000000000000
χ6644-4-4-24-442-42-4-24-20022-200002-44-2000000000000002-2000000000000000000000000000000−2i32i300000000000
χ6744-4-4-24-442-42-4-24-20022-200002-44-2000000000000002-20000000000000000000000000000002i3−2i300000000000
χ684-44-444004-4-44-4-44004-4-40000000000000000000000000000000000022−2200000000000000000000022−220000000
χ694-44-444004-4-44-4-44004-4-400000000000000000000000000000000000−2222000000000000000000000−22220000000
χ704-44-4-2400-2-4242-4-200-22200−2i32i30000000000000000−2i32i3000000000000022−22000000000000000000000−22i6−i600000
χ714-44-4-2400-2-4242-4-200-22200−2i32i30000000000000000−2i32i30000000000000−22220000000000000000000002−2−i6i600000
χ724-44-4-2400-2-4242-4-200-222002i3−2i300000000000000002i3−2i3000000000000022−22000000000000000000000−22−i6i600000
χ734-44-4-2400-2-4242-4-200-222002i3−2i300000000000000002i3−2i30000000000000−22220000000000000000000002−2i6−i600000
χ744-4-444400-444-4-4-4400-44-4000000004-40000000000000000000004-40000000000000000000000000000000000
χ754-4-444400-444-4-4-4400-44-400000000-44000000000000000000000-440000000000000000000000000000000000
χ764-4-444-200-4-242-42-2002-22−2i32i30000004-400000000−2i32i300000000000-22−2i32i300000000000000000000000000000000
χ774-4-444-200-4-242-42-2002-22−2i32i3000000-4400000000−2i32i3000000000002-22i3−2i300000000000000000000000000000000
χ784-4-444-200-4-242-42-2002-222i3−2i30000004-4000000002i3−2i300000000000-222i3−2i300000000000000000000000000000000
χ794-4-444-200-4-242-42-2002-222i3−2i3000000-44000000002i3−2i3000000000002-2−2i32i300000000000000000000000000000000
χ8088-8-8-4-48-84444-4-4200-2-220000-4-444000000000000002-20000000000000000000000000000000000000000000
χ8188-8-8-4-4-884444-4-4200-2-22000044-4-400000000000000-220000000000000000000000000000000000000000000
χ828-88-88-40084-8-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-444-4442002-2-200−4i34i300000000000000002i3−2i3000000000000000000000000000000000000000000000
χ848-88-8-4-400-444-4442002-2-2004i3−4i30000000000000000−2i32i3000000000000000000000000000000000000000000000
χ858-8-88-480048-4-84-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4-4444200-22-2−4i34i300000000000000002i3−2i300000000000000000000000000000000000000000000000
χ878-8-88-4-4004-4-4444200-22-24i3−4i30000000000000000−2i32i300000000000000000000000000000000000000000000000

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