Finite Group Databasebeta

← Group #11887453

Character table — Group #11887453

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666236661212121212121212224424666666121212121212224444666666888812126661212128888441212121212121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-1-11-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11111-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ9111111-1-111111111-11111-1-111-1-11111-1-11-1-1-111-1-1-1-111-1-111-1111111111-1-111-1-1111-1-1-11111-1-1-1-1-1111-1-111-1-1-1-1-11
χ10111111-1-111111111-11111-1-111-1-11111-1-11-1-1-111-1-1-1-111-1-111-11-1-111111111-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-11-1-1-1-111111-1
χ11111111-1-111111111-11111-1-111-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-111111-1-11111-11
χ12111111-1-111111111-11111-1-111-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1111111111-111-1-111111-1-1-1-11-1
χ13111111-1-111111111-11111-1-111-1-111-1-1111-1-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-11111-1-1111-1
χ14111111-1-111111111-11111-1-111-1-111-1-1111-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111111-1-1-1111111111-1-1-111-1-111-1-1-11
χ15111111-1-111111111-11111-1-111-1-111-1-111-11-1-1-1-1-1-11111-1-1111-111-1-1111111-1-111-1-1-11111111-1-11-1-111-1-1-1-1-111-1-11-1
χ16111111-1-111111111-11111-1-111-1-111-1-111-11-1-1-1-1-1-11111-1-1111-1-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-1111-1-1-1-1-111-1-111-11
χ1722222222-2-2222222-2222222-2-222-2-2222200-2-200-2-200-2-22200-2-200220000000022000000000000-20000-20000000000
χ1822222222-2-2222222-2222222-2-222-2-2-2-2-2-200-2-200-2-200-2-222002200-2-200000000-2-20000000000002000020000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-20022002200-2-2-2-2002-2002200000000-2-200000000000020000-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2220022002200-2-2-2-200-2200-2-20000000022000000000000-2000020000000000
χ2122222-122222-1-122-12-1-1-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-10000-1-12-1-12-1-1000002-10000-1-1-100000000
χ2222222-122222-1-122-12-1-1-1-122-1-1-1-1222222-2-22-111-1-111-1-1-1-1-2-22200-1-111110000-1-1-211-21100000-2-10000-11100000000
χ2322222-122222-1-122-12-1-1-1-122-1-1-1-122-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2001111110000112-1-12-1-100000-21000011100000000
χ2422222-122222-1-122-12-1-1-1-122-1-1-1-122-2-2-2-2-2-22-111-1-111-1-1-1-122-2-20011-1-1-1-1000011-211-211000002100001-1-100000000
χ2522222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-2222200-21−i3i311−i3i311-1-100-2-200-1-1−i3−i3i3i30000-1-10−i3i30−i3i3000000100001−i3i300000000
χ2622222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-2222200-21i3−i311i3−i311-1-100-2-200-1-1i3i3−i3−i30000-1-10i3−i30i3−i3000000100001i3−i300000000
χ2722222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-2-2-2-2-200-21−i3i311−i3i311-1-100220011i3i3−i3−i30000110−i3i30−i3i3000000-10000-1i3−i300000000
χ2822222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-2-2-2-2-200-21i3−i311i3−i311-1-100220011−i3−i3i3i30000110i3−i30i3−i3000000-10000-1−i3i300000000
χ2922222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-1112222-2-22-2-21-1-11111-1-11122-2200-1-1-1-1-1-10000112-1-1-21100000-210000-11100000000
χ3022222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-1112222-2-2-22-211111-1-1-1-111-2-2-2200-1-11111000011-2112-1-100000210000-1-1-100000000
χ3122222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-11122-2-2222-2-21-1-11111-1-111-2-22-2001111110000-1-12-1-1-211000002-100001-1-100000000
χ3222222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-11122-2-222-22-211111-1-1-1-111222-20011-1-1-1-10000-1-1-2112-1-100000-2-1000011100000000
χ3322222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-222-2-2002-1−i3i3-1-1i3−i31111002-200-1-1−i3−i3i3i30000110−i3i30i3−i3000000-100001i3−i300000000
χ3422222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-222-2-2002-1i3−i3-1-1−i3i31111002-200-1-1i3i3−i3−i30000110i3−i30−i3i3000000-100001−i3i300000000
χ3522222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-2-2-222002-1−i3i3-1-1i3−i3111100-220011i3i3−i3−i30000-1-10−i3i30i3−i300000010000-1−i3i300000000
χ3622222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-2-2-222002-1i3−i3-1-1−i3i3111100-220011−i3−i3i3i30000-1-10i3−i30−i3i300000010000-1i3−i300000000
χ372222-122222-122-1-122-1-1-1-1-1-12222-1-1000022-1222-1-122-1-1-1-1000022000000222200-1-1-1-1-1-10000200-1-1-1-1000-1-1-1-10000
χ382222-122222-122-1-122-1-1-1-1-1-12222-1-1000022-1222-1-122-1-1-1-10000-2-2000000-2-2-2-200-1-1-1-1-1-10000-200111100011110000
χ392222-122222-122-1-122-1-1-1-1-1-12222-1-10000-2-2-12-2-2-1-1-2-2-1-1-1-1000022000000-2-2-2-2001111110000200-1-1-1-100011110000
χ402222-122222-122-1-122-1-1-1-1-1-12222-1-10000-2-2-12-2-2-1-1-2-2-1-1-1-10000-2-20000002222001111110000-2001111000-1-1-1-10000
χ412222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-100002-21-22211-2-2-1-111000022000000-2-22200-1-1-11110000-20011-1-1000-1-1110000
χ422222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-100002-21-22211-2-2-1-1110000-2-200000022-2-200-1-1-11110000200-1-11100011-1-10000
χ432222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-10000-221-2-2-21122-1-11100002200000022-2-200111-1-1-10000-20011-1-100011-1-10000
χ442222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-10000-221-2-2-21122-1-1110000-2-2000000-2-22200111-1-1-10000200-1-111000-1-1110000
χ4522-2-2222i−2i00-22-22-2-2022-2-22i−2i002i−2i002-22i−2i0000000000002i−2i0000002-200002−2−i2i22i−2i000000−i2−i2i2i20000000000−i2i22−22−200
χ4622-2-2222i−2i00-22-22-2-2022-2-22i−2i002i−2i002-22i−2i0000000000002i−2i0000002-20000−22i2−i22i−2i000000i2i2−i2−i20000000000i2−i2−22−2200
χ4722-2-2222i−2i00-22-22-2-2022-2-22i−2i002i−2i00-22−2i2i0000000000002i−2i000000-2200002−2−i2i2−2i2i000000i2i2−i2−i20000000000−i2i22−2−2200
χ4822-2-2222i−2i00-22-22-2-2022-2-22i−2i002i−2i00-22−2i2i0000000000002i−2i000000-220000−22i2−i2−2i2i000000−i2−i2i2i20000000000i2−i2−222−200
χ4922-2-222−2i2i00-22-22-2-2022-2-2−2i2i00−2i2i002-2−2i2i000000000000−2i2i0000002-200002−2i2−i2−2i2i000000i2i2−i2−i20000000000i2−i22−22−200
χ5022-2-222−2i2i00-22-22-2-2022-2-2−2i2i00−2i2i002-2−2i2i000000000000−2i2i0000002-20000−22−i2i2−2i2i000000−i2−i2i2i20000000000−i2i2−22−2200
χ5122-2-222−2i2i00-22-22-2-2022-2-2−2i2i00−2i2i00-222i−2i000000000000−2i2i000000-2200002−2i2−i22i−2i000000−i2−i2i2i20000000000i2−i22−2−2200
χ5222-2-222−2i2i00-22-22-2-2022-2-2−2i2i00−2i2i00-222i−2i000000000000−2i2i000000-220000−22−i2i22i−2i000000i2i2−i2−i20000000000−i2i2−222−200
χ532-22-222002-22-2-2-2-2202-22-2002-2002-2000000000000002-2002-2002i−2i002-22-20000000000002i−2i2i−2i000002i−2i00000000000
χ542-22-222002-22-2-2-2-2202-22-2002-2002-2000000000000002-2002-200−2i2i002-22-2000000000000−2i2i−2i2i00000−2i2i00000000000
χ552-22-222002-22-2-2-2-2202-22-2002-2002-2000000000000002-200-22002i−2i00-22-22000000000000−2i2i−2i2i000002i−2i00000000000
χ562-22-222002-22-2-2-2-2202-22-2002-2002-2000000000000002-200-2200−2i2i00-22-220000000000002i−2i2i−2i00000−2i2i00000000000
χ574444-2444-4-4-244-2-24-4-2-2-2-2-2-2-4-444220000002-400220022-2-20000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-244-2-244-2-2-2-222-4-4-4-422000000-2400-2-20022220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-2000044-2-2-2-211-2-21111000000000000000000-211-2110000000000000000000000
χ604444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-20000-4-4-2-222112211110000000000000000002-1-12-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-41111-2-222-2-22200000022−2i32i3-1-1−2i32i3-1-1110000000000000000000i3−i30i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-41111-2-222-2-222000000222i3−2i3-1-12i3−2i3-1-1110000000000000000000−i3i30−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2-4111122-2-222-2-200004-422-2-2-1-12211-1-1000000000000000000-2112-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4111122-2-222-2-20000-442222-1-1-2-211-1-10000000000000000002-1-1-2110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-24111122222222000000-2-2−2i32i3112i3−2i3-1-1-1-10000000000000000000i3−i30−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-24111122222222000000-2-22i3−2i311−2i32i3-1-1-1-10000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-44-24i−4i00-4-224-420-2-2224i−4i00−2i2i004-44i−4i000000000000−2i2i000000-2200000000−2i2i0000000000000000000000000000
χ6844-4-44-24i−4i00-4-224-420-2-2224i−4i00−2i2i00-44−4i4i000000000000−2i2i0000002-2000000002i−2i0000000000000000000000000000
χ6944-4-44-2−4i4i00-4-224-420-2-222−4i4i002i−2i004-4−4i4i0000000000002i−2i000000-22000000002i−2i0000000000000000000000000000
χ7044-4-44-2−4i4i00-4-224-420-2-222−4i4i002i−2i00-444i−4i0000000000002i−2i0000002-200000000−2i2i0000000000000000000000000000
χ7144-4-4-244i−4i0024-4-22-40-2-222−2i2i004i−4i000000000000000000−2i2i00000000000022−22−2i22i20000000000000000000000i2−i2−220000
χ7244-4-4-244i−4i0024-4-22-40-2-222−2i2i004i−4i000000000000000000−2i2i000000000000−22222i2−2i20000000000000000000000−i2i22−20000
χ7344-4-4-24−4i4i0024-4-22-40-2-2222i−2i00−4i4i0000000000000000002i−2i00000000000022−222i2−2i20000000000000000000000−i2i2−220000
χ7444-4-4-24−4i4i0024-4-22-40-2-2222i−2i00−4i4i0000000000000000002i−2i000000000000−2222−2i22i20000000000000000000000i2−i22−20000
χ754-44-44400-444-4-4-4-4404-44-400-4400-4400000000000000-44000000000000000000000000000000000000000000000000
χ764-44-44-2004-4422-4-4-20-22-2200-22004-400000000000000-22004-4000000-22-220000000000000000000000000000000000
χ774-44-44-2004-4422-4-4-20-22-2200-22004-400000000000000-2200-440000002-22-20000000000000000000000000000000000
χ784-44-44-200-44422-4-4-20-22-22002-200-44000000000000002-20000000000−2i32i32i3−2i30000000000000000000000000000000000
χ794-44-44-200-44422-4-4-20-22-22002-200-44000000000000002-200000000002i3−2i3−2i32i30000000000000000000000000000000000
χ804-44-4-24004-4-2-4-42240-22-22004-400-2200000000000000-220000004i−4i000000000000000000000000000−2i2i00000000000
χ814-44-4-24004-4-2-4-42240-22-22004-400-2200000000000000-22000000−4i4i0000000000000000000000000002i−2i00000000000
χ824-44-4-2400-44-2-4-42240-22-2200-44002-2000000000000002-200000000000000000000000000000000023−230000000000000
χ834-44-4-2400-44-2-4-42240-22-2200-44002-2000000000000002-2000000000000000000000000000000000−23230000000000000
χ844-4-44440000-4-44-44-404-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-4-44-44-404-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-48i−8i004-44-444022-2-2−4i4i00−4i4i0000000000000000002i−2i0000000000000000000000000000000000000000000000
χ8788-8-8-4-4−8i8i004-44-444022-2-24i−4i004i−4i000000000000000000−2i2i0000000000000000000000000000000000000000000000
χ888-88-8-4-4008-8-44444-402-22-200-4400-44000000000000002-2000000000000000000000000000000000000000000000000
χ898-88-8-4-400-88-44444-402-22-2004-4004-400000000000000-22000000000000000000000000000000000000000000000000
χ908-8-888-40000-84-4-8840-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-4800004-884-4-80-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4000044-44-4402-2-220000000000000000006-60000000000000000000000000000000000000000000000000000
χ938-8-88-4-4000044-44-4402-2-22000000000000000000-660000000000000000000000000000000000000000000000000000

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