Finite Group Databasebeta

← Group #11889122

Character table — Group #11889122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order12223344666666366688121212122424242422246612121212242424242424222444466668812121212242424246661212124466812122424441212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-1-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111-11-11111-1-111-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1-1111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11
χ51111111111111111111111111111-1-111111111111111111-1111-1-111-1-111-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-111111-1-11111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-111111-1-11-1-111
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1111-1-111-1-1-111-11
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1111-11-1-1-1-1111111-1-11111111-1-1-11-111-1-1-1-1-1-1-1-11-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-11-1-1-11111111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111-11111-1-111111-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-1111-1-1111111-1-11111-1-1-1111-11-1-1-111-1-1-1-11-11-11
χ17222222-2-2222222222200-2-2-2-2000022000000-2-2000000002-2-200222200-2-2-2-20000000000000000000-2200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-200000000-2-220022-2-20022-2-200000000000000000002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-20000000022-200-2-22200-2-22200000000000000000002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-200000000-22200-2-2-2-20022220000000000000000000-2200000
χ2122222-1222-1-12-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-1-1-1222022200-1-100-1-10000002-1-12-1-100-1-12-1-1-1-10000000
χ2222222-1222-1-12-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2-2001100110000002-1-12-1-10011-211110000000
χ2322222-1222-1-12-12-1-1-1-122-12-12222200-2-21111-1-1-1-1-1-1-1-122-20-22200110011000000-211-21100-1-1-2-1-1110000000
χ2422222-1222-1-12-12-1-1-1-122-12-12222200-2-21111-1-1-1-1-1-1-1-1-2-2202-2-200-1-100-1-1000000-211-2110011211-1-10000000
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-111-1-111111122202-2-200-1-100-1-10000002-1-1-21100-1-1-211110000000
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-111-1-1111111-2-2-20-222001100110000002-1-1-21100112-1-1-1-10000000
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2211-1-1-1-111111122-20-2-2-200110011000000-2112-1-100-1-1211-1-10000000
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2211-1-1-1-1111111-2-22022200-1-100-1-1000000-2112-1-10011-2-1-1110000000
χ292222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-122222222-1-122-1-1-1-10002000-1-1002200-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ302222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-10002000-1-1002200-1-1-1-1-1-1111111-2-200000000011000
χ312222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-2222222-1-122-1-1-1-1000-20001100-2-200111111-1-1-1-1-1-1-2-200000000011000
χ322222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1000-20001100-2-20011111111111122000000000-1-1000
χ332222-1222-122-12-1-1-1-1-1-2-22-12-11111222-222-2-2-1-1-2-211110002000-1-100-2-200-1-11111-1-1-1111-22000000000-11000
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1111122-22-2-222-1-1-2-211110002000-1-100-2-200-1-11111111-1-1-12-20000000001-1000
χ352222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-22-222-2-2-1-1-2-21111000-20001100220011-1-1-1-1-1-1-11112-20000000001-1000
χ362222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-2-22-2-222-1-1-2-21111000-20001100220011-1-1-1-1111-1-1-1-22000000000-11000
χ372-22-222-22-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i2-20002i−2i00000000000000000000002-202i−2i000000000
χ382-22-222-22-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i-22000−2i2i0000000000000000000000-220−2i2i000000000
χ392-22-222-22-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i2-2000−2i2i00000000000000000000002-20−2i2i000000000
χ402-22-222-22-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i-220002i−2i0000000000000000000000-2202i−2i000000000
χ412-22-22-1-22-21-1-212-11-112i−2i-121-22i2i−2i−2i0000−i3i33−3-11−ii−i−iii2-20002i−2i00−i3i300−i3i30000000−i3i303−300-110−ii3−30000000
χ422-22-22-1-22-21-1-212-11-112i−2i-121-22i2i−2i−2i0000−i3i33−3-11−ii−i−iii-22000−2i2i00i3−i300i3−i30000000−i3i303−3001-10i−i−330000000
χ432-22-22-1-22-21-1-212-11-112i−2i-121-22i2i−2i−2i0000i3−i3−33-11−ii−i−iii2-20002i−2i00i3−i300i3−i30000000i3−i30−3300-110−ii−330000000
χ442-22-22-1-22-21-1-212-11-112i−2i-121-22i2i−2i−2i0000i3−i3−33-11−ii−i−iii-22000−2i2i00−i3i300−i3i30000000i3−i30−33001-10i−i3−30000000
χ452-22-22-1-22-21-1-212-11-11−2i2i-121-2−2i−2i2i2i0000−i3i3−33-11i−iii−i−i2-2000−2i2i00−i3i300−i3i30000000−i3i30−3300-110i−i−330000000
χ462-22-22-1-22-21-1-212-11-11−2i2i-121-2−2i−2i2i2i0000−i3i3−33-11i−iii−i−i-220002i−2i00i3−i300i3−i30000000−i3i30−33001-10−ii3−30000000
χ472-22-22-1-22-21-1-212-11-11−2i2i-121-2−2i−2i2i2i0000i3−i33−3-11i−iii−i−i2-2000−2i2i00i3−i300i3−i30000000i3−i303−300-110i−i3−30000000
χ482-22-22-1-22-21-1-212-11-11−2i2i-121-2−2i−2i2i2i0000i3−i33−3-11i−iii−i−i-220002i−2i00−i3i300−i3i30000000i3−i303−3001-10−ii−330000000
χ4944444-2-4-44-2-24-24-2-2-2-2002-42-4000000000000220000000040-40000-2-200220000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-2002-42-40000000000002200000000-40400002200-2-20000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-200-42-4200004400000022000000000-4000-2-20000002200000000000000000000000000
χ524444-24-4-4-244-24-2-2-2-2-200-42-420000-4-400000022000000000400022000000-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-211-2110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-211110000000000000000000002-1-12-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2112-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-1-1-2110000000000000000
χ5744-4-4440044-4-4-4-44-4-440000000000000000000000000000000000000−2i22i20000−2i2−2i22i22i20000000000000000000000
χ5844-4-4440044-4-4-4-44-4-4400000000000000000000000000000000000002i2−2i200002i22i2−2i2−2i20000000000000000000000
χ5944-4-4-2400-24-42-42-222-2000000i6−i6i6−i6000000000000i6−i6i6−i600000000000−2i22i20023−23i2i2−i2−i20000000000000000000000
χ6044-4-4-2400-24-42-42-222-2000000i6−i6i6−i6000000000000i6−i6i6−i6000000000002i2−2i200−2323−i2−i2i2i20000000000000000000000
χ6144-4-4-2400-24-42-42-222-2000000−i6i6−i6i6000000000000−i6i6−i6i600000000000−2i22i200−2323i2i2−i2−i20000000000000000000000
χ6244-4-4-2400-24-42-42-222-2000000−i6i6−i6i6000000000000−i6i6−i6i6000000000002i2−2i20023−23−i2−i2i2i20000000000000000000000
χ634-44-4444-4-4-44-4-444-44-400-4-444000000000000-440000000000000000000000000000000000000000000000000
χ644-44-44-24-4-42-2-424-22-22002-4-240000000000002-2000000000000000−2i32i3002i3−2i30000000000000000000000000000
χ654-44-44-24-4-42-2-424-22-22002-4-240000000000002-20000000000000002i3−2i300−2i32i30000000000000000000000000000
χ664-44-4-244-42-442-4-2-22-2200-424-20000000000002-200000000000000000000000−2i32i3−2i32i30000000000000000000000
χ674-44-4-244-42-442-4-2-22-2200-424-20000000000002-2000000000000000000000002i3−2i32i3−2i30000000000000000000000
χ684-44-4-24-442-442-4-2-22-224i−4i4-2-42−2i−2i2i2i00000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000000
χ694-44-4-24-442-442-4-2-22-22−4i4i4-2-422i2i−2i−2i00000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000
χ704-44-4-2-2-4422-222-21-11-14i−4i-2-222−2i−2i2i2i0000−2i32i323−231-1−2i2iii−i−i0000000000000000000000i3−i30−330000000000000000
χ714-44-4-2-2-4422-222-21-11-14i−4i-2-222−2i−2i2i2i00002i3−2i3−23231-1−2i2iii−i−i0000000000000000000000−i3i303−30000000000000000
χ724-44-4-2-2-4422-222-21-11-1−4i4i-2-2222i2i−2i−2i0000−2i32i3−23231-12i−2i−i−iii0000000000000000000000i3−i303−30000000000000000
χ734-44-4-2-2-4422-222-21-11-1−4i4i-2-2222i2i−2i−2i00002i3−2i323−231-12i−2i−i−iii0000000000000000000000−i3i30−330000000000000000
χ744-4-444400-4-4-444-444-4-400000000004-40000000000000000000004-40000000000000000000000000000000000
χ754-4-444400-4-4-444-444-4-40000000000-44000000000000000000000-440000000000000000000000000000000000
χ764-4-44-24002-4-4-242-2-2220000006−6−664-400000000006−6−660000000-22000000006−6−660000000000000000000000
χ774-4-44-24002-4-4-242-2-2220000006−6−66-4400000000006−6−6600000002-200000000−666−60000000000000000000000
χ784-4-44-24002-4-4-242-2-222000000−666−64-40000000000−666−60000000-2200000000−666−60000000000000000000000
χ794-4-44-24002-4-4-242-2-222000000−666−6-440000000000−666−600000002-2000000006−6−660000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-88-4008-44-84-8-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442-2-220000002i6−2i62i6−2i6000000000000−i6i6−i6i60000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-444442-2-22000000−2i62i6−2i62i6000000000000i6−i6i6−i60000000000000000000000000000000000000000000
χ848-88-8-4-48-844-444-42-22-20044-4-4000000000000-220000000000000000000000000000000000000000000000000
χ858-8-888-400-8448-4-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-4422-2-200000026−26−2626000000000000−666−60000000000000000000000000000000000000000000
χ878-8-88-4-400444-4-4422-2-2000000−262626−260000000000006−6−660000000000000000000000000000000000000000000

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