Finite Group Databasebeta

← Group #11876993

Character table — Group #11876993

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222334444446666663666121212121212121212121212121212122466666666121212121212121212121212888888884444224466661212121224242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-1-11
χ1722222222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000-2-22200000000000022-2-2000000000000000000002-200
χ1822222222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000-2-222000000000000-2-22200000000000000000000-2200
χ19222222-2-222-2-222222222222222-2-2-2-22222-2-2-2-200000000000000-2-2-2-200000000000022-2-200000000000000000000-2200
χ20222222-2-222-2-222222222222222-2-2-2-22222-2-2-2-200000000000000-2-2-2-2000000000000-2-222000000000000000000002-200
χ2122222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000022220000020200-1-100-1-10000-1-1-1-10000
χ2222222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000-20-200110011000011110000
χ2322222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-2-2-2-2111111-2-211-1-1-1-111110000222200000-20-2001100110000-1-1-1-10000
χ2422222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-2-2-2-2111111-2-211-1-1-1-111110000-2-2-2-20000020200-1-100-1-1000011110000
χ2522222-1-2-2-2-2222-12-12-1-1-1-1-1-2-211-2-211111122-1-12-222-1-1-1-1-1-1-2-211-1-1111111000022-2-20000020-200-1-100110000-1-1110000
χ2622222-1-2-2-2-2222-12-12-1-1-1-1-1-2-211-2-211111122-1-12-222-1-1-1-1-1-1-2-211-1-11111110000-2-22200000-202001100-1-1000011-1-10000
χ2722222-1-2-2-2-2222-12-12-1-1-1-1-1-2-211-2-211111122-1-1-22-2-211111122-1-1-1-111-1-1-1-1000022-2-200000-202001100-1-10000-1-1110000
χ2822222-1-2-2-2-2222-12-12-1-1-1-1-1-2-211-2-211111122-1-1-22-2-211111122-1-1-1-111-1-1-1-10000-2-2220000020-200-1-10011000011-1-10000
χ292222-12222222-12-12-12-1-1-1-1-1-122-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000002020-1-100-1-100-1-1-1-100000000
χ302222-12222222-12-12-12-1-1-1-1-1-122-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000-20-2011001100111100000000
χ312222-12222222-12-12-12-1-1-1-1-1-122-1-122-1-1-1-1-1-122-2-211-2-2111111-2-2-1-1-1-11111222200000000-20-2011001100-1-1-1-100000000
χ322222-12222222-12-12-12-1-1-1-1-1-122-1-122-1-1-1-1-1-122-2-211-2-2111111-2-2-1-1-1-11111-2-2-2-2000000002020-1-100-1-100111100000000
χ332222-12-2-2-2-222-12-12-12-1-1-1-111-2-211-2-21111-1-1222-2-1-122-1-1-1-111-2-2-1-111111122-2-20000000020-20-1-1001100-1-11100000000
χ342222-12-2-2-2-222-12-12-12-1-1-1-111-2-211-2-21111-1-1222-2-1-122-1-1-1-111-2-2-1-1111111-2-22200000000-20201100-1-10011-1-100000000
χ352222-12-2-2-2-222-12-12-12-1-1-1-111-2-211-2-21111-1-122-2211-2-21111-1-122-1-111-1-1-1-122-2-200000000-20201100-1-100-1-11100000000
χ362222-12-2-2-2-222-12-12-12-1-1-1-111-2-211-2-21111-1-122-2211-2-21111-1-122-1-111-1-1-1-1-2-2220000000020-20-1-100110011-1-100000000
χ3722-2-2222i−2i2i−2i2-222-2-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i000000002-22i−2i000000000000000000002-22i−2i0000
χ3822-2-2222i−2i2i−2i2-222-2-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i00000000-22−2i2i00000000000000000000-22−2i2i0000
χ3922-2-2222i−2i−2i2i-2222-2-2-2-222-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i00002-22i−2i000000000000000000002-22i−2i00000000
χ4022-2-2222i−2i−2i2i-2222-2-2-2-222-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i0000-22−2i2i00000000000000000000-22−2i2i00000000
χ4122-2-222−2i2i2i−2i-2222-2-2-2-222-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i00002-2−2i2i000000000000000000002-2−2i2i00000000
χ4222-2-222−2i2i2i−2i-2222-2-2-2-222-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i0000-222i−2i00000000000000000000-222i−2i00000000
χ4322-2-222−2i2i−2i2i2-222-2-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i000000002-2−2i2i000000000000000000002-2−2i2i0000
χ4422-2-222−2i2i−2i2i2-222-2-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i00000000-222i−2i00000000000000000000-222i−2i0000
χ4522-2-22-12i−2i2i−2i2-22-1-21-21-1-1112i−2i−ii2i−2i−ii−i−iii2-2-110000−i3i3−i3−i3i3i3003−3-11−ii33−3−300002-22i−2i0000000000−i3i3003−30000-11−ii0000
χ4622-2-22-12i−2i2i−2i2-22-1-21-21-1-1112i−2i−ii2i−2i−ii−i−iii2-2-110000−i3i3−i3−i3i3i3003−3-11−ii33−3−30000-22−2i2i0000000000i3−i300−3300001-1i−i0000
χ4722-2-22-12i−2i2i−2i2-22-1-21-21-1-1112i−2i−ii2i−2i−ii−i−iii2-2-110000i3−i3i3i3−i3−i300−33-11−ii−3−33300002-22i−2i0000000000i3−i300−330000-11−ii0000
χ4822-2-22-12i−2i2i−2i2-22-1-21-21-1-1112i−2i−ii2i−2i−ii−i−iii2-2-110000i3−i3i3i3−i3−i300−33-11−ii−3−3330000-22−2i2i0000000000−i3i3003−300001-1i−i0000
χ4922-2-22-1−2i2i−2i2i2-22-1-21-21-1-111−2i2ii−i−2i2ii−iii−i−i2-2-110000−i3i3−i3−i3i3i300−33-11i−i−3−33300002-2−2i2i0000000000−i3i300−330000-11i−i0000
χ5022-2-22-1−2i2i−2i2i2-22-1-21-21-1-111−2i2ii−i−2i2ii−iii−i−i2-2-110000−i3i3−i3−i3i3i300−33-11i−i−3−3330000-222i−2i0000000000i3−i3003−300001-1−ii0000
χ5122-2-22-1−2i2i−2i2i2-22-1-21-21-1-111−2i2ii−i−2i2ii−iii−i−i2-2-110000i3−i3i3i3−i3−i3003−3-11i−i33−3−300002-2−2i2i0000000000i3−i3003−30000-11i−i0000
χ5222-2-22-1−2i2i−2i2i2-22-1-21-21-1-111−2i2ii−i−2i2ii−iii−i−i2-2-110000i3−i3i3i3−i3−i3003−3-11i−i33−3−30000-222i−2i0000000000−i3i300−3300001-1−ii0000
χ5322-2-2-122i−2i−2i2i-22-121-21-2-1-111i−i−2i2i−ii2i−2iii−i−i1-1-2200−i3i300−i3i3−i3i33−3001-1−ii3−33−32-22i−2i000000000000−i3i3003−300-11−ii00000000
χ5422-2-2-122i−2i−2i2i-22-121-21-2-1-111i−i−2i2i−ii2i−2iii−i−i1-1-2200−i3i300−i3i3−i3i33−3001-1−ii3−33−3-22−2i2i000000000000i3−i300−33001-1i−i00000000
χ5522-2-2-122i−2i−2i2i-22-121-21-2-1-111i−i−2i2i−ii2i−2iii−i−i1-1-2200i3−i300i3−i3i3−i3−33001-1−ii−33−332-22i−2i000000000000i3−i300−3300-11−ii00000000
χ5622-2-2-122i−2i−2i2i-22-121-21-2-1-111i−i−2i2i−ii2i−2iii−i−i1-1-2200i3−i300i3−i3i3−i3−33001-1−ii−33−33-22−2i2i000000000000−i3i3003−3001-1i−i00000000
χ5722-2-2-12−2i2i2i−2i-22-121-21-2-1-111−ii2i−2ii−i−2i2i−i−iii1-1-2200−i3i300−i3i3−i3i3−33001-1i−i−33−332-2−2i2i000000000000−i3i300−3300-11i−i00000000
χ5822-2-2-12−2i2i2i−2i-22-121-21-2-1-111−ii2i−2ii−i−2i2i−i−iii1-1-2200−i3i300−i3i3−i3i3−33001-1i−i−33−33-222i−2i000000000000i3−i3003−3001-1−ii00000000
χ5922-2-2-12−2i2i2i−2i-22-121-21-2-1-111−ii2i−2ii−i−2i2i−i−iii1-1-2200i3−i300i3−i3i3−i33−3001-1i−i3−33−32-2−2i2i000000000000i3−i3003−300-11i−i00000000
χ6022-2-2-12−2i2i2i−2i-22-121-21-2-1-111−ii2i−2ii−i−2i2i−i−iii1-1-2200i3−i300i3−i3i3−i33−3001-1i−i3−33−3-222i−2i000000000000−i3i300−33001-1−ii00000000
χ6144444-244-4-4-4-44-24-24-2-2-2-2-2-4-42244-2-22222-4-4220000000000000022-2-20000000000000000000000000000000000000000
χ6244444-2-4-444-4-44-24-24-2-2-2-2-244-2-2-4-422-2-2-2-2-4-4220000000000000022220000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-24-24-24-2-2-2-222-4-4-2-244222222-4-40000000000000022-2-20000000000000000000000000000000000000000
χ644444-24-4-444-4-4-24-24-24-2-2-2-2-2-24422-4-4-2-2-2-222-4-40000000000000022220000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-2-244-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-2-2-4-42222-1-1-1-122221111-1-1-1-1000000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-2-2-2-1-1-1-122220000003-3-330000-1-1113-3-33000000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-2-2-2-1-1-1-12222000000-333-30000-1-111-333-3000000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-21111-2-2-2-22222111122220000003-3-330000-1-1-1-1-333-3000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-21111-2-2-2-2222211112222000000-333-30000-1-1-1-13-3-33000000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-1-1-1-1-2-2-2-24-4-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-1-1-1-1-2-2-2-2-442222-1-1-1-1-2-2-2-211-1-11111000000000000000000000000000000000000
χ7344-4-44-24i−4i−4i4i-444-2-42-42-2-222−4i4i2i−2i4i−4i−2i2i2i2i−2i−2i-442-2000000000000002-2−2i2i0000000000000000000000000000000000000000
χ7444-4-44-2−4i4i4i−4i-444-2-42-42-2-2224i−4i−2i2i−4i4i2i−2i−2i−2i2i2i-442-2000000000000002-22i−2i0000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-4-242-42-4-2-222−2i2i4i−4i−2i2i4i−4i−2i−2i2i2i-224-400000000000000-22−2i2i0000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-242-42-4-2-2222i−2i−4i4i2i−2i−4i4i2i2i−2i−2i-224-400000000000000-222i−2i0000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-2-2222211-1-1−2i2i−2i2i−2i2i−2i2iii−i−i-22-220000−2i32i3i3i3−i3−i30023−231-1i−i−3−333000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-2-2222211-1-1−2i2i−2i2i−2i2i−2i2iii−i−i-22-2200002i3−2i3−i3−i3i3i300−23231-1i−i33−3−3000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-2-2222211-1-12i−2i2i−2i−2i2i−2i2i−i−iii2-22-200−2i32i300i3−i3i3−i323−2300-11i−i−33−33000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-2-2222211-1-12i−2i2i−2i−2i2i−2i2i−i−iii2-22-2002i3−2i300−i3i3−i3i3−232300-11i−i3−33−3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-2-2222211-1-1−2i2i−2i2i2i−2i2i−2iii−i−i2-22-200−2i32i300i3−i3i3−i3−232300-11−ii3−33−3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-2-2222211-1-1−2i2i−2i2i2i−2i2i−2iii−i−i2-22-2002i3−2i300−i3i3−i3i323−2300-11−ii−33−33000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-2-2222211-1-12i−2i2i−2i2i−2i2i−2i−i−iii-22-220000−2i32i3i3i3−i3−i300−23231-1−ii33−3−3000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-2-2222211-1-12i−2i2i−2i2i−2i2i−2i−i−iii-22-2200002i3−2i3−i3−i3i3i30023−231-1−ii−3−333000000000000000000000000000000000000
χ854-44-444000000-4-4-4-4444-44-400000000000000000000000000000000000000000000004-400000000000000000000000000
χ864-44-444000000-4-4-4-4444-44-40000000000000000000000000000000000000000000000-4400000000000000000000000000
χ874-4-4444000000-4-444-4-44-4-440000000000000000000000000000000000000000000000004-4000000000000000000000000
χ884-4-4444000000-4-444-4-44-4-44000000000000000000000000000000000000000000000000-44000000000000000000000000
χ898-88-88-4000000-84-848-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-480000004-84-8-48-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40000004444-4-42-22-2000000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000004444-4-42-22-200000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-848-4-84-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000004-8-484-8-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400000044-4-4442-2-22000000006-6-6600000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400000044-4-4442-2-2200000000-666-600000000000000000000000000000000000000000000000000000000000000

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