Finite Group Databasebeta

← Group #11889741

Character table — Group #11889741

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666634466612121212121212122244121212121212121212121212222444466668812121212121212121212446681212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111111111-1-11111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-111-1-1-1-1-1-1-1-111-1-1-1-11111111-111111-1-1-1-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-111-1-1-1-1111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111-1-1-1-1111111-1-1-111-1-111-1-1-1-1-111111-111-1-11111111-111-1-1-1-111-1-1-11-1-1-111-1-1111-1-1
χ10111111111111111-1-11111-1-1-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1111-111-1-1-1-111111-111-1-11-1-1-11111-1-1-1-1-111-1-1-111
χ11111111111111111-1-11111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1-11-1-111-11111-1-11-111-1-111-1-11-11
χ12111111111111111-1-11111-1-1-1-111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-11-1-11111-1-1-1111-11111-1-111-11-1
χ13111111111111111-1-11111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-1111-1-1-11-1-11111-1-1-1-11-111-1-1-1111-1-1-1-111111-1-1-1-1-111
χ14111111111111111-1-11111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-11-1-1-1-1-11-1-111-1-1-1-1-1-11-111-1-111-1-1111-1111-1-111111-1-1
χ15111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-111111-11-1-111-1-11111-11-1-111-1-1111-1-1-11-1-1-1-11111-11-1
χ16111111111111111-1-11111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-11-1-111-11-1-111111111-11-1-1111-1-1-1-111-11-1-111-1-1-1-11-11
χ17222222-2-222222222-2222-222-2-2-2-2-222002-20000-2-222-2-220000-2-222220000000000000000000-2-200000000000
χ18222222-2-222222222-2222-222-2-2-2-2-2-2-2002-20000-2-222-2-2-2000022-2-2-2-200000000000000000002200000000000
χ19222222-2-22222222-22222-2-2-222-2-2-22200-220000-2-2-2-222-20000-2222-2-20000000000000000000-2200000000000
χ20222222-2-22222222-22222-2-2-222-2-2-2-2-200-220000-2-2-2-222200002-2-2-22200000000000000000002-200000000000
χ2122222-12222-12-1-1-122-1-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-12002222-1-1-1-100-1-1-1-122-1-1-1-10200000-1-1-1-1000000000
χ2222222-12222-12-1-1-122-1-1-12-1-122-1-1222-2-22-11111-1-1-1-1-1-1200-2-222-1-1-1-1001111-2-211110-200000-1-111000000000
χ2322222-12222-12-1-1-122-1-1-12-1-122-1-12-2-2222-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2-2111100111122-1-1-1-10-2000001111000000000
χ2422222-12222-12-1-1-122-1-1-12-1-122-1-12-2-2-2-22-11111-1-1-1-1-1-1-20022-2-2111100-1-1-1-1-2-21111020000011-1-1000000000
χ2522222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-12222-2-21-1-111-1-11111-200222-2-1-11100-1-1-1-12-2-1-1110-200000-1111000000000
χ2622222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-1222-22-2111-1-1-1-11111-200-2-22-2-1-111001111-2211-1-10200000-11-1-1000000000
χ2722222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-12-2-22-2-21-1-111-1-11111200-2-2-2211-1-10011112-2-1-11102000001-1-1-1000000000
χ2822222-12222-12-1-1-1-2-2-1-1-1211-2-2-1-12-2-2-22-2111-1-1-1-1111120022-2211-1-100-1-1-1-1-2211-1-10-2000001-111000000000
χ2922222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2220021−i3i3−i3i311-1-11120000-2-2-1-1-1-100−i3−i3i3i300−i3i3−i3i3000000011−i3i3000000000
χ3022222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2220021i3−i3i3−i311-1-11120000-2-2-1-1-1-100i3i3−i3−i300i3−i3i3−i3000000011i3−i3000000000
χ3122222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2-2-20021−i3i3−i3i311-1-111-2000022111100i3i3−i3−i300−i3i3−i3i30000000-1-1i3−i3000000000
χ3222222-1-2-222-12-1-1-12-2-1-1-1-2-1-1-2-211-2-2-20021i3−i3i3−i311-1-111-2000022111100−i3−i3i3i300i3−i3i3−i30000000-1-1−i3i3000000000
χ3322222-1-2-222-12-1-1-1-22-1-1-1-2112211-22200-2-1−i3i3i3−i31111-1-1-20000-22-1-11100−i3−i3i3i300−i3i3i3−i300000001-1i3−i3000000000
χ3422222-1-2-222-12-1-1-1-22-1-1-1-2112211-22200-2-1i3−i3−i3i31111-1-1-20000-22-1-11100i3i3−i3−i300i3−i3−i3i300000001-1−i3i3000000000
χ3522222-1-2-222-12-1-1-1-22-1-1-1-2112211-2-2-200-2-1−i3i3i3−i31111-1-1200002-211-1-100i3i3−i3−i300−i3i3i3−i30000000-11−i3i3000000000
χ3622222-1-2-222-12-1-1-1-22-1-1-1-2112211-2-2-200-2-1i3−i3−i3i31111-1-1200002-211-1-100−i3−i3i3i300i3−i3−i3i30000000-11i3−i3000000000
χ372222-1222-1-12-122-122-1-1-1-122-1-122-10022-122222-1-1-1-1-1-102200000000220000-1-1-1-1-1-120-1-12-1-10000-1-1-1-100000
χ382222-1222-1-12-122-122-1-1-1-122-1-122-10022-122222-1-1-1-1-1-10-2-200000000-2-20000-1-1-1-1-1-1-2011-2110000111100000
χ392222-1222-1-12-122-122-1-1-1-122-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-102200000000-2-2000011111120-1-1-2-1-10000111100000
χ402222-1222-1-12-122-122-1-1-1-122-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-10-2-200000000220000111111-20112110000-1-1-1-100000
χ412222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-1002-21-222-2-2-1-1111102200000000220000-11-1-111-20-1-1-2110000-1-11100000
χ422222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-1002-21-222-2-2-1-111110-2-200000000-2-20000-11-1-11120112-1-1000011-1-100000
χ432222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-100-221-2-2-222-1-1111102200000000-2-200001-111-1-1-20-1-1211000011-1-100000
χ442222-1222-1-12-122-1-2-2-1-1-1-1-2-21122-100-221-2-2-222-1-111110-2-2000000002200001-111-1-12011-2-1-10000-1-11100000
χ452-2-22222-22-2-2-2-222002-2-2200002-2-200000000002-2000002-22i−2i000000002i−2i2i−2i000000002-2000000000002i−2i000
χ462-2-22222-22-2-2-2-222002-2-2200002-2-200000000002-2000002-2−2i2i00000000−2i2i−2i2i000000002-200000000000−2i2i000
χ472-2-22222-22-2-2-2-222002-2-2200002-2-200000000002-200000-222i−2i000000002i−2i2i−2i00000000-2200000000000−2i2i000
χ482-2-22222-22-2-2-2-222002-2-2200002-2-200000000002-200000-22−2i2i00000000−2i2i−2i2i00000000-22000000000002i−2i000
χ494444-24-4-4-2-24-244-24-4-2-2-224422-4-420000-2-4000022-2-2220000000000000000000000000000000000000000000
χ504444-24-4-4-2-24-244-2-44-2-2-22-4-4-2-2-4-4200002400002222-2-20000000000000000000000000000000000000000000
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
χ534444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-2004-422-2-22211-1-1-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-22222-2-2-200-442222-2-211-1-1-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112-2-2222220000-22−2i32i3−2i32i3-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-41112-2-2222220000-222i3−2i32i3−2i3-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002-2−2i32i32i3−2i3-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002-22i3−2i3−2i32i3-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-44400-444-4-4-4400-44-4000000004-40000000000000000000004-40000000000000000000000000000000000
χ6044-4-44400-444-4-4-4400-44-400000000-44000000000000000000000-440000000000000000000000000000000000
χ6144-4-44-200-44-2-422-2002-220−2i32i3000004-40000000000−2i32i3000000000-22−2i32i300000000000000000000000000000000
χ6244-4-44-200-44-2-422-2002-220−2i32i300000-440000000000−2i32i30000000002-22i3−2i300000000000000000000000000000000
χ6344-4-44-200-44-2-422-2002-2202i3−2i3000004-400000000002i3−2i3000000000-222i3−2i300000000000000000000000000000000
χ6444-4-44-200-44-2-422-2002-2202i3−2i300000-4400000000002i3−2i30000000002-2−2i32i300000000000000000000000000000000
χ654-44-44400-4-4-444-4400-4-440000000000000000000000000000000000022−2200000000000000000000022−220000000
χ664-44-44400-4-4-444-4400-4-4400000000000000000000000000000000000−2222000000000000000000000−22220000000
χ674-44-4-240022-4-24-4-20022-2000−2i32i300000000000000000−2i32i30000000000022−22000000000000000000000−22i6−i600000
χ684-44-4-240022-4-24-4-20022-2000−2i32i300000000000000000−2i32i300000000000−22220000000000000000000002−2−i6i600000
χ694-44-4-240022-4-24-4-20022-20002i3−2i3000000000000000002i3−2i30000000000022−22000000000000000000000−22−i6i600000
χ704-44-4-240022-4-24-4-20022-20002i3−2i3000000000000000002i3−2i300000000000−22220000000000000000000002−2i6−i600000
χ714-4-4444-444-4-4-4-444004-4-4-40000-4440000000000-4400000000000000000000000000000000000000000000000
χ724-4-444-24-44-42-42-2-200-22240000-22-40000000000-2200000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ734-4-444-24-44-42-42-2-200-22240000-22-40000000000-220000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ744-4-444-2-444-42-42-2-200-222-400002-2400000000002-20000000000000000023−23−232300000000000000000000000000
χ754-4-444-2-444-42-42-2-200-222-400002-2400000000002-200000000000000000−232323−2300000000000000000000000000
χ764-4-44-244-4-22-42-44-200-222-200004-420000000000-22000004-40000000000000000000000-220000000000000000
χ774-4-44-244-4-22-42-44-200-222-200004-420000000000-2200000-4400000000000000000000002-20000000000000000
χ784-4-44-24-44-22-42-44-200-22220000-44-200000000002-20000000000000000000000000000000023−230000000000000
χ794-4-44-24-44-22-42-44-200-22220000-44-200000000002-200000000000000000000000000000000−23230000000000000
χ8088-8-8-48004-484-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-4444200-22-20−4i34i3000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-4444200-22-204i3−4i300000000000000000−2i32i3000000000000000000000000000000000000000000000
χ838-88-88-400-8-848-44-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400444-4-44200-2-22000−4i34i3000000000000000002i3−2i30000000000000000000000000000000000000000000
χ858-88-8-4-400444-4-44200-2-220004i3−4i300000000000000000−2i32i30000000000000000000000000000000000000000000
χ868-8-88-4-48-8-44444-42002-2-2-40000-44400000000002-200000000000000000000000000000000000000000000000
χ878-8-88-4-4-88-44444-42002-2-2400004-4-40000000000-2200000000000000000000000000000000000000000000000

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