Finite Group Databasebeta

← Group #11895698

Character table — Group #11895698

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order1222334466666636668812121212444424661212121224242424242424244444448888121212126661212124488882412121212121224242424461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-11-1-11-1-111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-111-1-1111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-111111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-11-111
χ5111111111111111111111111-1-11111111111111111111-1-111-1-1-11111-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-111-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111111-1-1-111-1-1-1-11-11-1-1111-1-1-1-111-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-111111-1-1-1-1-111111-1-1-1-1-1-11-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1-11111-1-1-111111-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1111-1-1111111-1-1-11-1-1-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1111-1-1-1-1-11111111-1-1-1-1-111-1-1-111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1111-1-11111-1-1111-11111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111-1-1-111-1-1-1-1-11-111-1-1-111111-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-111111111-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-20000-20000222200000022000000-200-2000000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-20000000020000-20000-2-222000000-2-2000000200-200000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-200002000022-2-2000000-2-2000000-200200000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-2000000002000020000-2-2-2-2000000220000002002000000-20000
χ2122222-1222-1-1-122-1-1-1-1222-12-100222222-1-1-1-122-1-1-1-1-1-12002200022-1-100-1-1-12-1-100000020-1-1-100000-1-10-1000
χ2222222-1222-1-1-122-1-1-1-1222-12-10022-2-2-2-211-1-122-1-1-1-1-1-1200-2-200022-1-100111-211000000-20-11100000-1-101000
χ2322222-1222-1-1-122-1-1-1-1222-12-100-2-22222-1-1-1-122-1-1-1-1-1-1-200-2-2000-2-21100-1-1-12-1-1000000-20111000001101000
χ2422222-1222-1-1-122-1-1-1-1222-12-100-2-2-2-2-2-211-1-122-1-1-1-1-1-1-20022000-2-21100111-211000000201-1-100000110-1000
χ2522222-1222-1-1-122-1-1-1-1-2-22-12-100222-22211-1-1-2-2111111200-2-2000-2-2-1-100-1-1-1-21100000020-11100000110-1000
χ2622222-1222-1-1-122-1-1-1-1-2-22-12-10022-22-2-2-1-1-1-1-2-211111120022000-2-2-1-1001112-1-1000000-20-1-1-1000001101000
χ2722222-1222-1-1-122-1-1-1-1-2-22-12-100-2-22-22211-1-1-2-2111111-20022000221100-1-1-1-211000000-201-1-100000-1-101000
χ2822222-1222-1-1-122-1-1-1-1-2-22-12-100-2-2-22-2-2-1-1-1-1-2-2111111-200-2-20002211001112-1-10000002011100000-1-10-1000
χ292222-1222-1222-1-1-1-1-1-122-12-12220022-1-122-1-1-1-122-1-1-1-1022002220000-1-12-1-1-1-1-100000002000-1-1-1-1-10000-100
χ302222-1222-1222-1-1-1-1-1-122-12-122200-2-211-2-2-1-1-1-122-1-1-1-10-2-2002220000-1-1-2111110000000-2000-111-1-10000100
χ312222-1222-1222-1-1-1-1-1-122-12-12-2-20022-1-122-1-1-1-122-1-1-1-10-2-200-2-2-20000112-1-1-1-1-10000000-2000111110000100
χ322222-1222-1222-1-1-1-1-1-122-12-12-2-200-2-211-2-2-1-1-1-122-1-1-1-102200-2-2-2000011-211111000000020001-1-1110000-100
χ332222-1222-1222-1-1-1-1-1-1-2-2-12-1222002-2-1-1-2-2-1-111-2-21111022002-2-20000-1-12-1-11110000000-2000-1-1-1110000100
χ342222-1222-1222-1-1-1-1-1-1-2-2-12-122200-221122-1-111-2-211110-2-2002-2-20000-1-1-211-1-1-100000002000-111110000-100
χ352222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-2002-2-1-1-2-2-1-111-2-211110-2-200-2220000112-1-111100000002000111-1-10000-100
χ362222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-200-221122-1-111-2-2111102200-222000011-211-1-1-10000000-20001-1-1-1-10000100
χ372-22-2222-22-2-22-2-22-22-200-2-2220000000000-220000000002i−2i2-2000000000000000002i2i−2i−2i0002-202i−2i000000000
χ382-22-2222-22-2-22-2-22-22-200-2-2220000000000-220000000002i−2i-2200000000000000000−2i−2i2i2i000-2202i−2i000000000
χ392-22-2222-22-2-22-2-22-22-200-2-2220000000000-22000000000−2i2i2-200000000000000000−2i−2i2i2i0002-20−2i2i000000000
χ402-22-2222-22-2-22-2-22-22-200-2-2220000000000-22000000000−2i2i-22000000000000000002i2i−2i−2i000-220−2i2i000000000
χ412-2-222200-22-2-22-222-2-2−i2i200002i−2i2-200000000−i2i2−i2i2−i2−i2i2i20000002−2−i2i22-22i−2i0000002i−2i2−22−2000000002−2−i2i200000
χ422-2-222200-22-2-22-222-2-2−i2i200002i−2i-2200000000−i2i2−i2i2−i2−i2i2i20000002−2i2−i2-222i−2i000000−2i2i−22−22000000002−2i2−i200000
χ432-2-222200-22-2-22-222-2-2−i2i20000−2i2i2-200000000−i2i2−i2i2−i2−i2i2i2000000−22−i2i22-2−2i2i000000−2i2i−22−2200000000−22−i2i200000
χ442-2-222200-22-2-22-222-2-2−i2i20000−2i2i-2200000000−i2i2−i2i2−i2−i2i2i2000000−22i2−i2-22−2i2i0000002i−2i2−22−200000000−22i2−i200000
χ452-2-222200-22-2-22-222-2-2i2−i200002i−2i2-200000000i2−i2i2−i2i2i2−i2−i2000000−22i2−i22-22i−2i0000002i−2i−22−2200000000−22i2−i200000
χ462-2-222200-22-2-22-222-2-2i2−i200002i−2i-2200000000i2−i2i2−i2i2i2−i2−i2000000−22−i2i2-222i−2i000000−2i2i2−22−200000000−22−i2i200000
χ472-2-222200-22-2-22-222-2-2i2−i20000−2i2i2-200000000i2−i2i2−i2i2i2−i2−i20000002−2i2−i22-2−2i2i000000−2i2i2−22−2000000002−2i2−i200000
χ482-2-222200-22-2-22-222-2-2i2−i20000−2i2i-2200000000i2−i2i2−i2i2i2−i2−i20000002−2−i2i2-22−2i2i0000002i−2i−22−22000000002−2−i2i200000
χ4944444-2-4-44-2-2-244-2-2-2-200-42-4200440000002200000000-4000000000-2-20000000000000000200000000000000
χ5044444-2-4-44-2-2-244-2-2-2-200-42-4200-4-400000022000000004000000000220000000000000000-200000000000000
χ514444-24-4-4-2444-2-2-2-2-2-2002-42-44400000000220000000000000-4000000-2-200000000000000000200000000000
χ524444-24-4-4-2444-2-2-2-2-2-2002-42-4-4-40000000022000000000000040000002200000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-1-1-21100000000000000000000000
χ5744-4-44400-4-44-4-444-4-44000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ5844-4-44400-4-44-4-444-4-440000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ594-44-444-444-4-44-4-44-44-40044-4-400000000004-4000000000000000000000000000000000000000000000000000
χ604-44-44-24-4422-2-4-4-22-2200-424-200000000002-2000000000004-4000000000000000000000000-22000000000000
χ614-44-44-24-4422-2-4-4-22-2200-424-200000000002-200000000000-440000000000000000000000002-2000000000000
χ624-44-44-2-44422-2-4-4-22-22004-2-420000000023−23-220000000000000000000000000023−2300000000000000000000000
χ634-44-44-2-44422-2-4-4-22-22004-2-4200000000−2323-2200000000000000000000000000−232300000000000000000000000
χ644-44-4-244-4-2-4-4422-22-22002-4-2400000000002-20000000004i−4i00000000000000000000000000000−2i2i000000000
χ654-44-4-244-4-2-4-4422-22-22002-4-2400000000002-2000000000−4i4i000000000000000000000000000002i−2i000000000
χ664-44-4-24-44-2-4-4422-22-2200-242-4000000−2i32i300-2200000000000000000000000−2i32i300000000000000000000000000
χ674-44-4-24-44-2-4-4422-22-2200-242-40000002i3−2i300-22000000000000000000000002i3−2i300000000000000000000000000
χ684-44-4-2-2-44-222-2221-11-100-2-222000000−2i32i323−231-100003i−3i3i−3i000000000000000i3−i30−3300000000000000000000000
χ694-44-4-2-2-44-222-2221-11-100-2-222000000−2i32i3−23231-10000−3i3i−3i3i000000000000000i3−i303−300000000000000000000000
χ704-44-4-2-2-44-222-2221-11-100-2-2220000002i3−2i323−231-10000−3i3i−3i3i000000000000000−i3i30−3300000000000000000000000
χ714-44-4-2-2-44-222-2221-11-100-2-2220000002i3−2i3−23231-100003i−3i3i−3i000000000000000−i3i303−300000000000000000000000
χ724-4-444-200-4-2224-4-2-222−2i22i20000004-400000000−2i22i2i2−i2i2i2−i2−i200000000−2i22i2-22000000000000000000000000i2−i200000
χ734-4-444-200-4-2224-4-2-222−2i22i2000000-4400000000−2i22i2i2−i2i2i2−i2−i2000000002i2−2i22-2000000000000000000000000−i2i200000
χ744-4-444-200-4-2224-4-2-2222i2−2i20000004-4000000002i2−2i2−i2i2−i2−i2i2i2000000002i2−2i2-22000000000000000000000000−i2i200000
χ754-4-444-200-4-2224-4-2-2222i2−2i2000000-44000000002i2−2i2−i2i2−i2−i2i2i200000000−2i22i22-2000000000000000000000000i2−i200000
χ764-4-44-240024-4-4-22-2-222−2i22i200004i−4i0000000000i2−i2−2i22i2i2i2−i2−i200000022−220000−2i2i00000000000000000000−220000000
χ774-4-44-240024-4-4-22-2-222−2i22i20000−4i4i0000000000i2−i2−2i22i2i2i2−i2−i2000000−222200002i−2i000000000000000000002−20000000
χ784-4-44-240024-4-4-22-2-2222i2−2i200004i−4i0000000000−i2i22i2−2i2−i2−i2i2i2000000−22220000−2i2i000000000000000000002−20000000
χ794-4-44-240024-4-4-22-2-2222i2−2i20000−4i4i0000000000−i2i22i2−2i2−i2−i2i2i200000022−2200002i−2i00000000000000000000−220000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-88-400-84-44-88-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-48004-88-84-4-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-40044-444-42-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ8488-8-8-4-40044-444-42-2-220000000000000000000000−323232−320000000000000000000000000000000000000000000
χ858-88-8-4-48-8-444-4442-22-20044-4-40000000000-22000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-4422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ878-8-88-4-4004-444-4422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000

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