Finite Group Databasebeta

← Group #72241404

Character table — Group #72241404

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size11112222444444444444444448888888888888888888888888816161616161616161616161616161616161632323232323264646464
order1222224422444444444444444222244444444444444888888882444444444888888882488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-11-1-1-1iiii−i−i−i−i1-1-111-1-111-1-111ii−i−i-1-111iiii−i−i−i−i-1111-1-1ii−i−iii−i−i11-1-11-1ii−i−i1-1i−i
χ10111111-1-1-1-11-1-1-1iiii−i−i−i−i1-1-111-1-111-1-111ii−i−i-1-111iiii−i−i−i−i-11-1-111ii−i−iii−i−i11-1-1-11−i−iii-11−ii
χ11111111-1-1-1-11-1-1-1iiii−i−i−i−i1-1-1-1-111-1-11111ii−i−i-1-111−i−i−i−iiiii-1111-1-1−i−iiiii−i−i-1-1111-1ii−i−i-11−ii
χ12111111-1-1-1-11-1-1-1iiii−i−i−i−i1-1-1-1-111-1-11111ii−i−i-1-111−i−i−i−iiiii-11-1-111−i−iiiii−i−i-1-111-11−i−iii1-1i−i
χ13111111-1-1-1-11-1-1-1−i−i−i−iiiii1-1-111-1-111-1-111−i−iii-1-111−i−i−i−iiiii-1111-1-1−i−iii−i−iii11-1-11-1−i−iii1-1−ii
χ14111111-1-1-1-11-1-1-1−i−i−i−iiiii1-1-111-1-111-1-111−i−iii-1-111−i−i−i−iiiii-11-1-111−i−iii−i−iii11-1-1-11ii−i−i-11i−i
χ15111111-1-1-1-11-1-1-1−i−i−i−iiiii1-1-1-1-111-1-11111−i−iii-1-111iiii−i−i−i−i-1111-1-1ii−i−i−i−iii-1-1111-1−i−iii-11i−i
χ16111111-1-1-1-11-1-1-1−i−i−i−iiiii1-1-1-1-111-1-11111−i−iii-1-111iiii−i−i−i−i-11-1-111ii−i−i−i−iii-1-111-11ii−i−i1-1−ii
χ17222222222222222222222222200000000222222-2-2-2-200000000-2-200000000-2-2-2-200000000000000
χ1822222222222222-2-2-2-2-2-2-2-22220000000022-2-2-2-2-2-2-2-200000000-2-200000000222200000000000000
χ19222222222222-2-2000000002-2-200000000-2-2000022-2-222222222-220000-2-2-2-2000000000000000000
χ20222222222222-2-2000000002-2-200000000-2-2000022-2-2-2-2-2-2-2-2-2-2-2200002222000000000000000000
χ21222222222222-2-2000000002-2-222222222-2-20000-2-222000000002-2000000000000-2-2-2-20000000000
χ22222222222222-2-2000000002-2-2-2-2-2-2-2-2-2-2-2-20000-2-222000000002-200000000000022220000000000
χ23222222-2-2-2-22-2220000000022200000000-2-20000-2-2-2-22i2i2i2i−2i−2i−2i−2i220000−2i−2i2i2i000000000000000000
χ24222222-2-2-2-22-2220000000022200000000-2-20000-2-2-2-2−2i−2i−2i−2i2i2i2i2i2200002i2i−2i−2i000000000000000000
χ25222222-2-2-2-22-2220000000022222-2-222-2-2-2-20000222200000000-2-2000000000000-2-2220000000000
χ26222222-2-2-2-22-22200000000222-2-222-2-222-2-20000222200000000-2-200000000000022-2-20000000000
χ27222222-2-2-2-22-2-2-22i2i2i2i−2i−2i−2i−2i2-2-200000000222i2i−2i−2i22-2-2000000002-200000000−2i−2i2i2i00000000000000
χ28222222-2-2-2-22-2-2-2−2i−2i−2i−2i2i2i2i2i2-2-20000000022−2i−2i2i2i22-2-2000000002-2000000002i2i−2i−2i00000000000000
χ292-2-222-20000202i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22i−2i002-2002-2001+i−1−i1−i−1+i2i−2i2-21−i1−i−1+i−1+i1+i1+i−1−i−1−i0000001−i−1+i1+i−1−i1+i−1−i1−i−1+i2i−2i000000000000
χ302-2-222-20000202i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22i−2i00-2200-22001+i−1−i1−i−1+i2i−2i2-2−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i−2i2i000000000000
χ312-2-222-20000202i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22i−2i2-2002-200001+i−1−i1−i−1+i−2i2i-221+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i002i−2i0000000000
χ322-2-222-20000202i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22i−2i-2200-2200001+i−1−i1−i−1+i−2i2i-22−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000001+i−1−i1−i−1+i−1−i1+i−1+i1−i00−2i2i0000000000
χ332-2-222-20000202i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22i−2i002-2002-200−1−i1+i−1+i1−i2i−2i2-2−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i2i−2i000000000000
χ342-2-222-20000202i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22i−2i00-2200-2200−1−i1+i−1+i1−i2i−2i2-21−i1−i−1+i−1+i1+i1+i−1−i−1−i0000001−i−1+i1+i−1−i−1−i1+i−1+i1−i−2i2i000000000000
χ352-2-222-20000202i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22i−2i2-2002-20000−1−i1+i−1+i1−i−2i2i-22−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000001+i−1−i1−i−1+i1+i−1−i1−i−1+i002i−2i0000000000
χ362-2-222-20000202i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22i−2i-2200-220000−1−i1+i−1+i1−i−2i2i-221+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i00−2i2i0000000000
χ372-2-222-2000020−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-2−2i2i002-2002-2001−i−1+i1+i−1−i−2i2i2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i0000001+i−1−i1−i−1+i1−i−1+i1+i−1−i−2i2i000000000000
χ382-2-222-2000020−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-2−2i2i00-2200-22001−i−1+i1+i−1−i−2i2i2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i2i−2i000000000000
χ392-2-222-2000020−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-2−2i2i2-2002-200001−i−1+i1+i−1−i2i−2i-221−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00−2i2i0000000000
χ402-2-222-2000020−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-2−2i2i-2200-2200001−i−1+i1+i−1−i2i−2i-22−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000001−i−1+i1+i−1−i−1+i1−i−1−i1+i002i−2i0000000000
χ412-2-222-2000020−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-2−2i2i002-2002-200−1+i1−i−1−i1+i−2i2i2-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i−2i2i000000000000
χ422-2-222-2000020−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-2−2i2i00-2200-2200−1+i1−i−1−i1+i−2i2i2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i0000001+i−1−i1−i−1+i−1+i1−i−1−i1+i2i−2i000000000000
χ432-2-222-2000020−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-2−2i2i2-2002-20000−1+i1−i−1−i1+i2i−2i-22−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00−2i2i0000000000
χ442-2-222-2000020−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-2−2i2i-2200-220000−1+i1−i−1−i1+i2i−2i-221−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i002i−2i0000000000
χ4544444444-4-4-440000000000-40000000000000000000000000000002222000000000000-2-200000000
χ4644444444-4-4-440000000000-4000000000000000000000000000000-2-2-2-20000000000002200000000
χ47444444-4-444-4-40000000000-400000000000000000000000000000022-2-2000000000000-2200000000
χ48444444-4-444-4-40000000000-4000000000000000000000000000000-2-2220000000000002-200000000
χ494444-4-444000-4002222222200022-2-2-2-22200-2-2-2-200002-22-22-22-20000000000000000000000000000
χ504444-4-444000-40022222222000-2-22222-2-200-2-2-2-20000-22-22-22-220000000000000000000000000000
χ514444-4-444000-400-2-2-2-2-2-2-2-200022-2-2-2-2220022220000-22-22-22-220000000000000000000000000000
χ524444-4-444000-400-2-2-2-2-2-2-2-2000-2-22222-2-200222200002-22-22-22-20000000000000000000000000000
χ534444-4-4-4-40004002i2i2i2i−2i−2i−2i−2i0002222-2-2-2-200−2i−2i2i2i00002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ544444-4-4-4-40004002i2i2i2i−2i−2i−2i−2i000-2-2-2-2222200−2i−2i2i2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ554444-4-4-4-4000400−2i−2i−2i−2i2i2i2i2i0002222-2-2-2-2002i2i−2i−2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ564444-4-4-4-4000400−2i−2i−2i−2i2i2i2i2i000-2-2-2-22222002i2i−2i−2i00002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ5744-4-4004i−4i00002i−2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i0−2i2i000000002-20000000000000000002i−2i2-2000000000000001+i−1−i1−i−1+i0000
χ5844-4-4004i−4i00002i−2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i0−2i2i000000002-2000000000000000000−2i2i-2200000000000000−1−i1+i−1+i1−i0000
χ5944-4-4004i−4i00002i−2i−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0−2i2i000000002-20000000000000000002i−2i2-200000000000000−1−i1+i−1+i1−i0000
χ6044-4-4004i−4i00002i−2i−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0−2i2i000000002-2000000000000000000−2i2i-22000000000000001+i−1−i1−i−1+i0000
χ6144-4-400−4i4i0000−2i2i2+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i02i−2i000000002-20000000000000000002i−2i-2200000000000000−1+i1−i−1−i1+i0000
χ6244-4-400−4i4i0000−2i2i2+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i02i−2i000000002-2000000000000000000−2i2i2-2000000000000001−i−1+i1+i−1−i0000
χ6344-4-400−4i4i0000−2i2i−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i02i−2i000000002-20000000000000000002i−2i-22000000000000001−i−1+i1+i−1−i0000
χ6444-4-400−4i4i0000−2i2i−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i02i−2i000000002-2000000000000000000−2i2i2-200000000000000−1+i1−i−1−i1+i0000
χ654-4-44-44004-400002i2i−2i−2i−2i−2i2i2i0002-22-2-22-2200−2i2i2i−2i00002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ664-4-44-44004-400002i2i−2i−2i−2i−2i2i2i000-22-222-22-200−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ674-4-44-44004-40000−2i−2i2i2i2i2i−2i−2i0002-22-2-22-22002i−2i−2i2i0000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ684-4-44-44004-40000−2i−2i2i2i2i2i−2i−2i000-22-222-22-2002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ694-4-44-4400-44000022-2-222-2-20002-2-22-222-200-22-2200002-2-222-2-220000000000000000000000000000
χ704-4-44-4400-44000022-2-222-2-2000-222-22-2-2200-22-220000-222-2-222-20000000000000000000000000000
χ714-4-44-4400-440000-2-222-2-2220002-2-22-222-2002-22-20000-222-2-222-20000000000000000000000000000
χ724-4-44-4400-440000-2-222-2-222000-222-22-2-22002-22-200002-2-222-2-220000000000000000000000000000
χ7388-8-8008i−8i0000−4i4i0000000004i−4i00000000-4400000000000000000000000000000000000000000000
χ7488-8-800−8i8i00004i−4i000000000−4i4i00000000-4400000000000000000000000000000000000000000000
χ758-88-800000000444i−4i−4i4i−4i4i4i−4i0-4-4000000000000000000000000000000000000000000000000000000
χ768-88-80000000044−4i4i4i−4i4i−4i−4i4i0-4-4000000000000000000000000000000000000000000000000000000
χ778-88-800000000-4-44-4-444-4-44044000000000000000000000000000000000000000000000000000000
χ788-88-800000000-4-4-444-4-444-4044000000000000000000000000000000000000000000000000000000
χ798-8-888-80000-800000000000800000000000000000000000000000000000000000000000000000000

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