Finite Group Databasebeta

← Group #11870591

Character table — Group #11870591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order122233444466666644442366666121212121212121244441212121244666121212121212121244444888812121212121212121212121224661212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-111111111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ9111111-1-1111111111111-11-1-111111-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-1-1111-1-11-111-1-111-1-111-1-111-1-111-1-1
χ10111111-1-1111111111111-11-1-111111-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-1-1111-1-11-11111-1-1-1-1-1-111-1-111-1-111
χ11111111-1-1111111111111-11-1-111111-1-1-1-11111-1-11111-11-1-1-111-1-111-1-1-111-1-1-1-111-1-111-1-11-1-1-111-11-1-1-1-11111-1-11111-1-1-1-111
χ12111111-1-1111111111111-11-1-111111-1-1-1-11111-1-11111-11-1-1-111-1-111-1-1-1-1-11111-1-1-1-111-1-11-1-1-111-11-1-111-1-11111-1-1-1-11111-1-1
χ13111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1-11111-1-1111-1-111-1-111-1-111-1111-1-1-11-1-1-1-1111111-1-1-1-111-1-111
χ14111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1-11111-1-11-1-111-1-11111-1-111-1111-1-1-11-1-111-1-111-1-11111-1-111-1-1
χ15111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-11-1-1-111-1-111-1-1111-1-1-1-11111-1-1111-1-1-1111-111-1-111-1-1-1-111-1-11111-1-1
χ16111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-11-1-1-111-1-111-1-11-1-11111-1-111-1-1111-1-1-1111-11111-1-1-1-111-1-111-1-1-1-111
χ1722222222-2-22222222222-22-2-2222-2-22222-2-2-2-222222200-2-2-20000-2-222-200000000-2-2-2-2220000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-22-2-2222-2-22222-2-222-2-2-2-2-2-200-2-2-20000-2-2222000000002222-2-20000000000000000000000000000
χ19222222-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222002220000-2-2-2-220000000022-2-2-2-20000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2002220000-2-2-2-2-200000000-2-222220000000000000000000000000000
χ2122222-122222-122-1-122222-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1200000000-1-1-1-1-1-122-1-1-1-122-1-10000-1-1000000000000
χ2222222-122222-122-1-122222-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-2-22-1-11111-1-1-1-1200000000-1-1-1-1-1-1-2-21111-2-211000011000000000000
χ2322222-122222-122-1-1-2-2-2-22-1-1-1-1-1-1-1-122-1-122-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-20000000011111122-1-1-1-1-2-211000011000000000000
χ2422222-122222-122-1-1-2-2-2-22-1-1-1-1-1-1-1-122-1-122-2-2-2-21111-2-22-1-11111-1-1-1-1-200000000111111-2-2111122-1-10000-1-1000000000000
χ2522222-122-2-22-122-1-12222-2-111-1-1-11122-1-1-2-2-2-222-1-1-1-100-211−i3i3−i3i311-1-1-2000000001111-1-100−i3i3−i3i300−i3i30000−i3i3000000000000
χ2622222-122-2-22-122-1-12222-2-111-1-1-11122-1-1-2-2-2-222-1-1-1-100-211i3−i3i3−i311-1-1-2000000001111-1-100i3−i3i3−i300i3−i30000i3−i3000000000000
χ2722222-122-2-22-122-1-1-2-2-2-2-2-111-1-1-11122-1-1-2-222-2-2111100-211−i3i3−i3i311-1-1200000000-1-1-1-11100−i3i3−i3i300i3−i30000i3−i3000000000000
χ2822222-122-2-22-122-1-1-2-2-2-2-2-111-1-1-11122-1-1-2-222-2-2111100-211i3−i3i3−i311-1-1200000000-1-1-1-11100i3−i3i3−i300−i3i30000−i3i3000000000000
χ2922222-1-2-2222-122-1-12222-2-111-1-1-1-1-1-2-2112222-2-2-1-1-1-12-2-21111-1-1-1-111-20000000011-1-111-22-1-1112-2-1-1000011000000000000
χ3022222-1-2-2222-122-1-12222-2-111-1-1-1-1-1-2-2112222-2-2-1-1-1-1-22-211-1-111-1-111-20000000011-1-1112-211-1-1-22110000-1-1000000000000
χ3122222-1-2-2222-122-1-1-2-2-2-2-2-111-1-1-1-1-1-2-21122-2-22211112-2-21111-1-1-1-111200000000-1-111-1-1-22-1-111-22110000-1-1000000000000
χ3222222-1-2-2222-122-1-1-2-2-2-2-2-111-1-1-1-1-1-2-21122-2-2221111-22-211-1-111-1-111200000000-1-111-1-12-211-1-12-2-1-1000011000000000000
χ3322222-1-2-2-2-22-122-1-122222-1-1-1-1-1-111-2-211-2-2-2-2-2-2-1-1-1-1002-1-1−i3i3i3−i31111200000000-1-1111100i3−i3−i3i300i3−i30000−i3i3000000000000
χ3422222-1-2-2-2-22-122-1-122222-1-1-1-1-1-111-2-211-2-2-2-2-2-2-1-1-1-1002-1-1i3−i3−i3i31111200000000-1-1111100−i3i3i3−i300−i3i30000i3−i3000000000000
χ3522222-1-2-2-2-22-122-1-1-2-2-2-22-1-1-1-1-1-111-2-211-2-222221111002-1-1−i3i3i3−i31111-20000000011-1-1-1-100i3−i3−i3i300−i3i30000i3−i3000000000000
χ3622222-1-2-2-2-22-122-1-1-2-2-2-22-1-1-1-1-1-111-2-211-2-222221111002-1-1i3−i3−i3i31111-20000000011-1-1-1-100−i3i3i3−i300i3−i30000−i3i3000000000000
χ372222-122222-12-1-12200002-122-1-1-122-1-122-1-10000000022-1-1-12222-1-1-1-1022222222000000-1-1-1-1-1-10000-1-1-1-100-1-1-1-100000000
χ382222-122222-12-1-12200002-122-1-1-122-1-122-1-10000000022-1-1-12222-1-1-1-10-2-2-2-2-2-2-2-2000000-1-1-1-1-1-10000111100111100000000
χ392222-122222-12-1-12200002-122-1-1-122-1-122-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-102222-2-2-2-20000001111110000-1-1-1-100111100000000
χ402222-122222-12-1-12200002-122-1-1-122-1-122-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-10-2-2-2-222220000001111110000111100-1-1-1-100000000
χ412222-12-2-222-12-1-1220000-2-1-2-2-1-1-12211-2-2-1-1000000002-2111-2-222-1-111022-2-222-2-20000001-1-1-111000011-1-100-1-11100000000
χ422222-12-2-222-12-1-1220000-2-1-2-2-1-1-12211-2-2-1-1000000002-2111-2-222-1-1110-2-222-2-2220000001-1-1-1110000-1-1110011-1-100000000
χ432222-12-2-222-12-1-1220000-2-1-2-2-1-1-12211-2-2-1-100000000-2211122-2-2-1-111022-2-2-2-222000000-1111-1-1000011-1-10011-1-100000000
χ442222-12-2-222-12-1-1220000-2-1-2-2-1-1-12211-2-2-1-100000000-2211122-2-2-1-1110-2-22222-2-2000000-1111-1-10000-1-11100-1-11100000000
χ4522-2-2222i−2i00-2-2-222-222-2-20200-22-2002i−2i2i−2i00002i−2i22-2-2000000000002i−2i000002−2−i2i200002i−2i00000000000000002−2−i2i200002−2−i2i2
χ4622-2-2222i−2i00-2-2-222-222-2-20200-22-2002i−2i2i−2i00002i−2i22-2-2000000000002i−2i00000−22i2−i200002i−2i0000000000000000−22i2−i20000−22i2−i2
χ4722-2-2222i−2i00-2-2-222-2-2-2220200-22-2002i−2i2i−2i0000−2i2i-2-222000000000002i−2i000002−2−i2i20000−2i2i00000000000000002−2−i2i20000−22i2−i2
χ4822-2-2222i−2i00-2-2-222-2-2-2220200-22-2002i−2i2i−2i0000−2i2i-2-222000000000002i−2i00000−22i2−i20000−2i2i0000000000000000−22i2−i200002−2−i2i2
χ4922-2-222−2i2i00-2-2-222-222-2-20200-22-200−2i2i−2i2i0000−2i2i22-2-200000000000−2i2i000002−2i2−i20000−2i2i00000000000000002−2i2−i200002−2i2−i2
χ5022-2-222−2i2i00-2-2-222-222-2-20200-22-200−2i2i−2i2i0000−2i2i22-2-200000000000−2i2i00000−22−i2i20000−2i2i0000000000000000−22−i2i20000−22−i2i2
χ5122-2-222−2i2i00-2-2-222-2-2-2220200-22-200−2i2i−2i2i00002i−2i-2-22200000000000−2i2i000002−2i2−i200002i−2i00000000000000002−2i2−i20000−22−i2i2
χ5222-2-222−2i2i00-2-2-222-2-2-2220200-22-200−2i2i−2i2i00002i−2i-2-22200000000000−2i2i00000−22−i2i200002i−2i0000000000000000−22−i2i200002−2i2−i2
χ532-2-2222002-222-2-2-2-22i−2i2i−2i0200-2-222-200002-22i−2i002i−2i2i−2i0000000002-2000002i−2i0000002i−2i0000000000002i−2i00000000002-20000
χ542-2-2222002-222-2-2-2-22i−2i2i−2i0200-2-222-200002-22i−2i002i−2i2i−2i0000000002-200000−2i2i0000002i−2i000000000000−2i2i0000000000-220000
χ552-2-2222002-222-2-2-2-2−2i2i−2i2i0200-2-222-200002-2−2i2i00−2i2i−2i2i0000000002-2000002i−2i000000−2i2i0000000000002i−2i0000000000-220000
χ562-2-2222002-222-2-2-2-2−2i2i−2i2i0200-2-222-200002-2−2i2i00−2i2i−2i2i0000000002-200000−2i2i000000−2i2i000000000000−2i2i00000000002-20000
χ572-2-222200-2222-2-2-2-22i−2i2i−2i0200-2-22-220000-22−2i2i002i−2i2i−2i000000000-220002i−2i00000000−2i2i000000000000002i−2i0000002-2000000
χ582-2-222200-2222-2-2-2-22i−2i2i−2i0200-2-22-220000-22−2i2i002i−2i2i−2i000000000-22000−2i2i00000000−2i2i00000000000000−2i2i000000-22000000
χ592-2-222200-2222-2-2-2-2−2i2i−2i2i0200-2-22-220000-222i−2i00−2i2i−2i2i000000000-220002i−2i000000002i−2i000000000000002i−2i000000-22000000
χ602-2-222200-2222-2-2-2-2−2i2i−2i2i0200-2-22-220000-222i−2i00−2i2i−2i2i000000000-22000−2i2i000000002i−2i00000000000000−2i2i0000002-2000000
χ614444-2444-4-4-24-2-2440000-4-2-4-4-2-2-2-4-4-2-244220000000000222000022-2-20000000000000000000000000000000000000000000
χ624444-24-4-4-4-4-24-2-24400004-244-2-2-2-4-422-4-4220000000000-2-2-2000022220000000000000000000000000000000000000000000
χ634444-2-24444-2-2-2-2-2-2000041-2-2111-2-2-2-2-2-2-2-20000000044-211-2-2-2-21111000000000000000-2-211110000000000000000000000
χ644444-2-24444-2-2-2-2-2-2000041-2-2111-2-2-2-2-2-2-2-200000000-4-4-2112222111100000000000000022-1-1-1-10000000000000000000000
χ654444-2-244-4-4-2-2-2-2-2-20000-412211122-2-2-2-22200000000002-1-1−2i32i3−2i32i3-1-11100000000000000000i3−i3i3−i30000000000000000000000
χ664444-2-244-4-4-2-2-2-2-2-20000-412211122-2-2-2-22200000000002-1-12i3−2i32i3−2i3-1-11100000000000000000−i3i3−i3i30000000000000000000000
χ674444-2-2-4-444-2-2-2-2-2-20000-4122111-2-22222-2-2000000004-42-1-122-2-211-1-10000000000000002-211-1-10000000000000000000000
χ684444-2-2-4-444-2-2-2-2-2-20000-4122111-2-22222-2-200000000-442-1-1-2-22211-1-1000000000000000-22-1-1110000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-2000041-2-2111222222220000000000-211−2i32i32i3−2i3-1-1-1-100000000000000000−i3i3i3−i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-2000041-2-2111222222220000000000-2112i3−2i3−2i32i3-1-1-1-100000000000000000i3−i3−i3i30000000000000000000000
χ7144-4-44-24i−4i00-42-44-2244-4-40-2002-22004i−4i−2i2i00004i−4i-2-22200000000000−2i2i0000000000000−2i2i0000000000000000000000000000
χ7244-4-44-24i−4i00-42-44-22-4-4440-2002-22004i−4i−2i2i0000−4i4i22-2-200000000000−2i2i00000000000002i−2i0000000000000000000000000000
χ7344-4-44-2−4i4i00-42-44-2244-4-40-2002-2200−4i4i2i−2i0000−4i4i-2-222000000000002i−2i00000000000002i−2i0000000000000000000000000000
χ7444-4-44-2−4i4i00-42-44-22-4-4440-2002-2200−4i4i2i−2i00004i−4i22-2-2000000000002i−2i0000000000000−2i2i0000000000000000000000000000
χ7544-4-4-244i−4i002-42-24-400000-2002-2200−2i2i4i−4i000000000000000000000−2i2i0000022−22−2i22i20000000000000000000000−22i2−i200000000
χ7644-4-4-244i−4i002-42-24-400000-2002-2200−2i2i4i−4i000000000000000000000−2i2i00000−22222i2−2i200000000000000000000002−2−i2i200000000
χ7744-4-4-24−4i4i002-42-24-400000-2002-22002i−2i−4i4i0000000000000000000002i−2i0000022−222i2−2i20000000000000000000000−22−i2i200000000
χ7844-4-4-24−4i4i002-42-24-400000-2002-22002i−2i−4i4i0000000000000000000002i−2i00000−2222−2i22i200000000000000000000002−2i2−i200000000
χ794-44-4440000-4-44-4-444i−4i−4i4i04004-4-40000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-4440000-4-44-4-44−4i4i4i−4i04004-4-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-44-20000-424-42-24i−4i−4i4i0-2−2i32i3-222000000000000−2i2i2i−2i000−2i32i30000000000000000023−2300000000000000000000000000000000
χ824-44-44-20000-424-42-24i−4i−4i4i0-22i3−2i3-222000000000000−2i2i2i−2i0002i3−2i300000000000000000−232300000000000000000000000000000000
χ834-44-44-20000-424-42-2−4i4i4i−4i0-2−2i32i3-2220000000000002i−2i−2i2i000−2i32i300000000000000000−232300000000000000000000000000000000
χ844-44-44-20000-424-42-2−4i4i4i−4i0-22i3−2i3-2220000000000002i−2i−2i2i0002i3−2i30000000000000000023−2300000000000000000000000000000000
χ854-4-444-2004-44-2-4-4224i−4i4i−4i0-20022-2-2200004-44i−4i00−2i2i−2i2i000000000-220000000000000−2i2i000000000000000000000000000000
χ864-4-444-2004-44-2-4-422−4i4i−4i4i0-20022-2-2200004-4−4i4i002i−2i2i−2i000000000-2200000000000002i−2i000000000000000000000000000000
χ874-4-444-200-444-2-4-4224i−4i4i−4i0-20022-22-20000-44−4i4i00−2i2i−2i2i0000000002-200000000000002i−2i000000000000000000000000000000
χ884-4-444-200-444-2-4-422−4i4i−4i4i0-20022-22-20000-444i−4i002i−2i2i−2i0000000002-20000000000000−2i2i000000000000000000000000000000
χ894-4-44-24004-4-2422-4-400000-20022-24-40000-2200000000000000000-22000004i−4i00000000000000000000−2i2i0000000000000000
χ904-4-44-24004-4-2422-4-400000-20022-24-40000-2200000000000000000-2200000−4i4i000000000000000000002i−2i0000000000000000
χ914-4-44-2400-44-2422-4-400000-20022-2-4400002-2000000000000000002-20004i−4i000000000000000000000000−2i2i00000000000000
χ924-4-44-2400-44-2422-4-400000-20022-2-4400002-2000000000000000002-2000−4i4i0000000000000000000000002i−2i00000000000000
χ9388-8-8-4-48i−8i00444-4-4400000200-22-200−4i4i−4i4i0000000000000000000002i−2i0000000000000000000000000000000000000000000
χ9488-8-8-4-4−8i8i00444-4-4400000200-22-2004i−4i4i−4i000000000000000000000−2i2i0000000000000000000000000000000000000000000
χ958-88-8-4800004-8-44-8800000-400-444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4000044-444-4000002−4i34i32-2-200000000000000000002i3−2i3000000000000000000000000000000000000000000000000000
χ978-88-8-4-4000044-444-40000024i3−4i32-2-20000000000000000000−2i32i3000000000000000000000000000000000000000000000000000
χ988-8-88-4-4008-8-4-4444400000200-2-22-440000-44000000000000000002-2000000000000000000000000000000000000000000000
χ998-8-88-4-400-88-4-4444400000200-2-224-400004-400000000000000000-22000000000000000000000000000000000000000000000

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