Finite Group Databasebeta

← Group #11870587

Character table — Group #11870587

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order1222334444666666444423666661212121212121212444412121212246666612121212121222444888812121212121266612121244661212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1111-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1
χ9111111-1-1111111111111-11-1-111111-1-1-1-11111-1-111111-111-1-1-1-1-111-1-111-1-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ10111111-1-1111111111111-11-1-111111-1-1-1-11111-1-111111-111-1-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-111
χ11111111-1-1111111111111-11-1-111111-1-1-1-11111-1-11111-11-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111-1-111
χ12111111-1-1111111111111-11-1-111111-1-1-1-11111-1-11111-11-1-1-1-1-11111-1-1-1-111-111-1-111-1-1-1-1-1-1-11111-1-1-11111-1-111-1-111-1-111-1-1
χ13111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-11-111-1-1-1-1-111-1-111-1-1111-1-1-1-11111111-1-1-11-11111-1-1-1-111-1-111-1-1-1-111
χ14111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-11-111-1-1-1-1-111-1-1-1-1111-1-111-1-11111111-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1
χ15111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1-11111-1-111-1-11-1-111-1-11111-1-1-1111-1111-1-1-1-111-1-11111-1-111-1-1
χ16111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1111-11-1-1-1-1111111-1-1-1-111-1-111
χ1722222222-2-22222222222-22-2-2222-2-22222-2-2-2-22222220000-2-2-200-2-2220000-20000-2-222-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-22-2-2222-2-22222-2-222-2-2-2-2-2-20000-2-2-200-2-22200002000022-2-2220000000000000000000000000000
χ19222222-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000022200-2-2-2-2000020000-2-2-2-2220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2000022200-2-2-2-20000-200002222-2-20000000000000000000000000000
χ2122222-12222-1-122-1200002-122-1-1-12222-1-1-1-1000000002222-1-1-122-1-1-1-1222202222000000-1-1-1-1-1-100-1-100-1-100-1-1-1-100000000
χ2222222-12222-1-122-1200002-122-1-1-12222-1-1-1-1000000002222-1-1-122-1-1-1-1-2-2-2-20-2-2-2-2000000-1-1-1-1-1-10011001100111100000000
χ2322222-12222-1-122-1200002-122-1-1-12222-1-1-1-100000000-2-2-2-2-1-1-1-2-2-1-1-1-122220-2-2-2-200000011111100-1-100-1-100111100000000
χ2422222-12222-1-122-1200002-122-1-1-12222-1-1-1-100000000-2-2-2-2-1-1-1-2-2-1-1-1-1-2-2-2-2022220000001111110011001100-1-1-1-100000000
χ2522222-1-2-222-1-122-120000-2-1-2-2-1-1-122-2-211-1-1000000002-222111-2-2-1-11122-2-2022-2-2000000-1-1-111100-1-1001100-1-11100000000
χ2622222-1-2-222-1-122-120000-2-1-2-2-1-1-122-2-211-1-1000000002-222111-2-2-1-111-2-2220-2-222000000-1-1-1111001100-1-10011-1-100000000
χ2722222-1-2-222-1-122-120000-2-1-2-2-1-1-122-2-211-1-100000000-22-2-211122-1-11122-2-20-2-222000000111-1-1-100-1-100110011-1-100000000
χ2822222-1-2-222-1-122-120000-2-1-2-2-1-1-122-2-211-1-100000000-22-2-211122-1-111-2-222022-2-2000000111-1-1-1001100-1-100-1-11100000000
χ292222-12222222-1-12-122222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1000020000-1-1-1-1-1-12-1-12-1-12200-1-100-1-1000000000000
χ302222-12222222-1-12-122222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2112-1-111-1-1-1-1000020000-1-1-1-1-1-1-211-211-2-200110011000000000000
χ312222-12222222-1-12-1-2-2-2-22-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111122-1-12-1-1-1-1-1-1-1-10000-200001111112-1-12-1-1-2-200110011000000000000
χ322222-12222222-1-12-1-2-2-2-22-1-1-1-1-1-1-1-1-1-12222-2-2-2-21111-2-2112-1-111-1-1-1-10000-20000111111-211-2112200-1-100-1-1000000000000
χ332222-1222-2-222-1-12-12222-2-111-1-1-111-1-122-2-2-2-222-1-1-1-100−i3i3-211−i3i311-1-10000-2000011-1-1110−i3i30−i3i30000−i3i300−i3i3000000000000
χ342222-1222-2-222-1-12-12222-2-111-1-1-111-1-122-2-2-2-222-1-1-1-100i3−i3-211i3−i311-1-10000-2000011-1-1110i3−i30i3−i30000i3−i300i3−i3000000000000
χ352222-1222-2-222-1-12-1-2-2-2-2-2-111-1-1-111-1-122-2-222-2-2111100−i3i3-211−i3i311-1-1000020000-1-111-1-10−i3i30−i3i30000i3−i300i3−i3000000000000
χ362222-1222-2-222-1-12-1-2-2-2-2-2-111-1-1-111-1-122-2-222-2-2111100i3−i3-211i3−i311-1-1000020000-1-111-1-10i3−i30i3−i30000−i3i300−i3i3000000000000
χ372222-12-2-22222-1-12-12222-2-111-1-1-1-1-111-2-22222-2-2-1-1-1-12-2-1-1-21111-1-1110000-20000-1-111112-1-1-211-22001100-1-1000000000000
χ382222-12-2-22222-1-12-12222-2-111-1-1-1-1-111-2-22222-2-2-1-1-1-1-2211-211-1-1-1-1110000-20000-1-11111-2112-1-12-200-1-10011000000000000
χ392222-12-2-22222-1-12-1-2-2-2-2-2-111-1-1-1-1-111-2-222-2-22211112-2-1-1-21111-1-11100002000011-1-1-1-12-1-1-2112-200-1-10011000000000000
χ402222-12-2-22222-1-12-1-2-2-2-2-2-111-1-1-1-1-111-2-222-2-2221111-2211-211-1-1-1-11100002000011-1-1-1-1-2112-1-1-22001100-1-1000000000000
χ412222-12-2-2-2-222-1-12-122222-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-100−i3i32-1-1i3−i311110000200001111-1-10−i3i30i3−i30000i3−i300−i3i3000000000000
χ422222-12-2-2-2-222-1-12-122222-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-100i3−i32-1-1−i3i311110000200001111-1-10i3−i30−i3i30000−i3i300i3−i3000000000000
χ432222-12-2-2-2-222-1-12-1-2-2-2-22-1-1-1-1-1-11111-2-2-2-22222111100−i3i32-1-1i3−i311110000-20000-1-1-1-1110−i3i30i3−i30000−i3i300i3−i3000000000000
χ442222-12-2-2-2-222-1-12-1-2-2-2-22-1-1-1-1-1-11111-2-2-2-22222111100i3−i32-1-1−i3i311110000-20000-1-1-1-1110i3−i30−i3i30000i3−i300−i3i3000000000000
χ4522-2-222002-2-2-22-22-22i2i−2i−2i0200-22-22-200002-22i−2i002i2i−2i−2i0000000002-200002-2000002i−2i00000000000000002-20000002i−2i000000
χ4622-2-222002-2-2-22-22-22i2i−2i−2i0200-22-22-200002-22i−2i002i2i−2i−2i0000000002-20000-22000002i−2i0000000000000000-22000000−2i2i000000
χ4722-2-222002-2-2-22-22-2−2i−2i2i2i0200-22-22-200002-2−2i2i00−2i−2i2i2i0000000002-200002-200000−2i2i00000000000000002-2000000−2i2i000000
χ4822-2-222002-2-2-22-22-2−2i−2i2i2i0200-22-22-200002-2−2i2i00−2i−2i2i2i0000000002-20000-2200000−2i2i0000000000000000-220000002i−2i000000
χ4922-2-22200-22-2-22-22-22i2i−2i−2i0200-22-2-220000-22−2i2i002i2i−2i−2i000000000-22002-20000000−2i2i0000000000002-20000000000002i−2i0000
χ5022-2-22200-22-2-22-22-22i2i−2i−2i0200-22-2-220000-22−2i2i002i2i−2i−2i000000000-2200-220000000−2i2i000000000000-22000000000000−2i2i0000
χ5122-2-22200-22-2-22-22-2−2i−2i2i2i0200-22-2-220000-222i−2i00−2i−2i2i2i000000000-22002-200000002i−2i0000000000002-2000000000000−2i2i0000
χ5222-2-22200-22-2-22-22-2−2i−2i2i2i0200-22-2-220000-222i−2i00−2i−2i2i2i000000000-2200-2200000002i−2i000000000000-220000000000002i−2i0000
χ532-2-22222i−2i002-2-2-2-222-22-202002-2-2002i−2i2i−2i00002i−2i2-22-2000000000002i−2i000002−2−i2i2002i−2i0000000000000000002−2−i2i200002−2−i2i2
χ542-2-22222i−2i002-2-2-2-222-22-202002-2-2002i−2i2i−2i00002i−2i2-22-2000000000002i−2i00000−22i2−i2002i−2i000000000000000000−22i2−i20000−22i2−i2
χ552-2-22222i−2i002-2-2-2-22-22-2202002-2-2002i−2i2i−2i0000−2i2i-22-22000000000002i−2i000002−2−i2i200−2i2i0000000000000000002−2−i2i20000−22i2−i2
χ562-2-22222i−2i002-2-2-2-22-22-2202002-2-2002i−2i2i−2i0000−2i2i-22-22000000000002i−2i00000−22i2−i200−2i2i000000000000000000−22i2−i200002−2−i2i2
χ572-2-2222−2i2i002-2-2-2-222-22-202002-2-200−2i2i−2i2i0000−2i2i2-22-200000000000−2i2i000002−2i2−i200−2i2i0000000000000000002−2i2−i200002−2i2−i2
χ582-2-2222−2i2i002-2-2-2-222-22-202002-2-200−2i2i−2i2i0000−2i2i2-22-200000000000−2i2i00000−22−i2i200−2i2i000000000000000000−22−i2i20000−22−i2i2
χ592-2-2222−2i2i002-2-2-2-22-22-2202002-2-200−2i2i−2i2i00002i−2i-22-2200000000000−2i2i000002−2i2−i2002i−2i0000000000000000002−2i2−i20000−22−i2i2
χ602-2-2222−2i2i002-2-2-2-22-22-2202002-2-200−2i2i−2i2i00002i−2i-22-2200000000000−2i2i00000−22−i2i2002i−2i000000000000000000−22−i2i200002−2i2−i2
χ6144444-244-4-4-2-244-240000-4-2-4-4-2-2-2-4-444-2-2220000000000002220022-2-20000000000000000000000000000000000000000000
χ6244444-2-4-4-4-4-2-244-2400004-244-2-2-2-4-4-4-42222000000000000-2-2-20022220000000000000000000000000000000000000000000
χ634444-2-24444-2-2-2-2-2-2000041-2-2111-2-2-2-2-2-2-2-20000000044-2-2-211-2-21111000000000000000-211-2110000000000000000000000
χ644444-2-24444-2-2-2-2-2-2000041-2-2111-2-2-2-2-2-2-2-200000000-4-422-2112211110000000000000002-1-12-1-10000000000000000000000
χ654444-2-244-4-4-2-2-2-2-2-20000-412211122-2-2-2-2220000000000−2i32i32-1-1−2i32i3-1-1110000000000000000i3−i30i3−i30000000000000000000000
χ664444-2-244-4-4-2-2-2-2-2-20000-412211122-2-2-2-22200000000002i3−2i32-1-12i3−2i3-1-1110000000000000000−i3i30−i3i30000000000000000000000
χ674444-2-2-4-444-2-2-2-2-2-20000-4122111-2-22222-2-2000000004-4-2-22-1-12211-1-1000000000000000-2112-1-10000000000000000000000
χ684444-2-2-4-444-2-2-2-2-2-20000-4122111-2-22222-2-200000000-44222-1-1-2-211-1-10000000000000002-1-1-2110000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-2000041-2-2111222222220000000000−2i32i3-2112i3−2i3-1-1-1-10000000000000000i3−i30−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-2000041-2-21112222222200000000002i3−2i3-211−2i32i3-1-1-1-10000000000000000−i3i30i3−i30000000000000000000000
χ7144-4-44-2004-4224-4-2-400000-2002-224-40000-2200000000000000000-2200004-400000000000000000000000-2200000000000000
χ7244-4-44-2004-4224-4-2-400000-2002-224-40000-2200000000000000000-220000-44000000000000000000000002-200000000000000
χ7344-4-44-200-44224-4-2-400000-2002-22-4400002-2000000000000000002-2004-4000000000000000000000-22000000000000000000
χ7444-4-44-200-44224-4-2-400000-2002-22-4400002-2000000000000000002-200-440000000000000000000002-2000000000000000000
χ7544-4-4-24004-4-4-4-22424i4i−4i−4i0-2002-22-2200004-44i−4i00−2i−2i2i2i000000000-2200000000000−2i2i00000000000000000000000000000000
χ7644-4-4-24004-4-4-4-2242−4i−4i4i4i0-2002-22-2200004-4−4i4i002i2i−2i−2i000000000-22000000000002i−2i00000000000000000000000000000000
χ7744-4-4-2400-44-4-4-22424i4i−4i−4i0-2002-222-20000-44−4i4i00−2i−2i2i2i0000000002-2000000000002i−2i00000000000000000000000000000000
χ7844-4-4-2400-44-4-4-2242−4i−4i4i4i0-2002-222-20000-444i−4i002i2i−2i−2i0000000002-200000000000−2i2i00000000000000000000000000000000
χ794-44-4440000-44-44-4-44i−4i−4i4i0400-4-440000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-4440000-44-44-4-4−4i4i4i−4i0400-4-44000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-4-240000-442-2-424i−4i−4i4i0-2−2i32i322-2000000000000−2i2i2i−2i00000−2i32i3000000000000000000023−230000000000000000000000000000
χ824-44-4-240000-442-2-424i−4i−4i4i0-22i3−2i322-2000000000000−2i2i2i−2i000002i3−2i30000000000000000000−23230000000000000000000000000000
χ834-44-4-240000-442-2-42−4i4i4i−4i0-2−2i32i322-20000000000002i−2i−2i2i00000−2i32i30000000000000000000−23230000000000000000000000000000
χ844-44-4-240000-442-2-42−4i4i4i−4i0-22i3−2i322-20000000000002i−2i−2i2i000002i3−2i3000000000000000000023−230000000000000000000000000000
χ854-4-444-24i−4i00-22-4-42400000-200-222004i−4i−2i2i000000000000000000000−2i2i0000022−22−2i22i20000000000000000000000−22i2−i200000000
χ864-4-444-24i−4i00-22-4-42400000-200-222004i−4i−2i2i000000000000000000000−2i2i00000−22222i2−2i200000000000000000000002−2−i2i200000000
χ874-4-444-2−4i4i00-22-4-42400000-200-22200−4i4i2i−2i0000000000000000000002i−2i0000022−222i2−2i20000000000000000000000−22−i2i200000000
χ884-4-444-2−4i4i00-22-4-42400000-200-22200−4i4i2i−2i0000000000000000000002i−2i00000−2222−2i22i200000000000000000000002−2i2−i200000000
χ894-4-44-244i−4i004-422-4-24-44-40-200-22200−2i2i4i−4i00004i−4i-22-2200000000000−2i2i00000000000−2i2i000000000000000000000000000000
χ904-4-44-244i−4i004-422-4-2-44-440-200-22200−2i2i4i−4i0000−4i4i2-22-200000000000−2i2i000000000002i−2i000000000000000000000000000000
χ914-4-44-24−4i4i004-422-4-24-44-40-200-222002i−2i−4i4i0000−4i4i-22-22000000000002i−2i000000000002i−2i000000000000000000000000000000
χ924-4-44-24−4i4i004-422-4-2-44-440-200-222002i−2i−4i4i00004i−4i2-22-2000000000002i−2i00000000000−2i2i000000000000000000000000000000
χ9388-8-8-4-4008-844-44-4400000200-22-2-440000-44000000000000000002-2000000000000000000000000000000000000000000000
χ9488-8-8-4-400-8844-44-4400000200-22-24-400004-400000000000000000-22000000000000000000000000000000000000000000000
χ958-88-88-400004-4-884-800000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400004-44-444000002−4i34i3-2-220000000000000000000002i3−2i30000000000000000000000000000000000000000000000000
χ978-88-8-4-400004-44-4440000024i3−4i3-2-22000000000000000000000−2i32i30000000000000000000000000000000000000000000000000
χ988-8-88-4-48i−8i00-44444-4000002002-2-200−4i4i−4i4i0000000000000000000002i−2i0000000000000000000000000000000000000000000
χ998-8-88-4-4−8i8i00-44444-4000002002-2-2004i−4i4i−4i000000000000000000000−2i2i0000000000000000000000000000000000000000000

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