Finite Group Databasebeta

← Group #11872326

Character table — Group #11872326

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222334444446666663666121212121212121212121212121212128812121212242424242424242424242424242424242244444422446666661212121212121212121224448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11-11-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-111111-1-111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111111-1-1-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-111-1-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-111-1-111-1-111-1-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000000000000000000000000000002-2-220000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-200000000000000000000000000000000000000000000-222-20000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200-2-222000000000000000000000000000000000000000000002-22-20000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200-2-22200000000000000000000000000000000000000000000-22-220000
χ2122222-12222222-12-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122002200202000-1-1-1-1-1-1-1-100000000000000
χ2222222-12222222-12-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200-20-20001111111100000000000000
χ2322222-12222222-12-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-2-2-1-1-1-1-2-2111111-2-211111122002200-20-2000-1-111-1-11100000000000000
χ2422222-12222222-12-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-2-2-1-1-1-1-2-2111111-2-2111111-2-200-2-20020200011-1-111-1-100000000000000
χ2522222-1-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2-1-122-1-1-1-12-2111122-1-1-1-1-1-1-2-21111112200-2-20020-2000-1-1-1-1111100000000000000
χ2622222-1-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2-1-122-1-1-1-12-2111122-1-1-1-1-1-1-2-2111111-2-2002200-2020001111-1-1-1-100000000000000
χ2722222-1-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2-1-122-1-1-1-1-221111-2-211111122-1-1-1-1-1-12200-2-200-202000-1-11111-1-100000000000000
χ2822222-1-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2-1-122-1-1-1-1-221111-2-211111122-1-1-1-1-1-1-2-200220020-200011-1-1-1-11100000000000000
χ292222-12222222-12-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1002200220202-1-100000000-1-1-1-1-1-100000000
χ302222-12222222-12-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-2-20-20-2110000000011111100000000
χ312222-12222222-12-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111002200220-20-21100000000-1-1-1-11100000000
χ322222-12222222-12-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-2-1-1-1-111-2-2111111-2-2111100-2-200-2-20202-1-1000000001111-1-100000000
χ332222-12-2-2-2-222-12-122-1-1-1-1-111-2-2-2-21122-1-1-1-1-1-12-21111-1-122-1-1-1-111-2-21111002200-2-20-2021100000000-1-111-1-100000000
χ342222-12-2-2-2-222-12-122-1-1-1-1-111-2-2-2-21122-1-1-1-1-1-12-21111-1-122-1-1-1-111-2-2111100-2-20022020-2-1-10000000011-1-11100000000
χ352222-12-2-2-2-222-12-122-1-1-1-1-111-2-2-2-21122-1-1-1-1-1-1-22111111-2-21111-1-122-1-1-1-1002200-2-2020-2-1-100000000-1-1111100000000
χ362222-12-2-2-2-222-12-122-1-1-1-1-111-2-2-2-21122-1-1-1-1-1-1-22111111-2-21111-1-122-1-1-1-100-2-200220-202110000000011-1-1-1-100000000
χ3722-2-2222i−2i2i−2i2-2-222-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2-22-222-2-2002i−2i2i−2i00000000000000002-2002i−2i000000002-2002i−2i0000000000000000
χ3822-2-2222i−2i2i−2i2-2-222-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2-22-222-2-2002i−2i2i−2i0000000000000000-2200−2i2i00000000-2200−2i2i0000000000000000
χ3922-2-2222i−2i−2i2i-22-222-2-2-222-2-22i−2i2i−2i−2i2i−2i2i-22-22-2-222002i−2i−2i2i0000000000000000002-2002i−2i000000000000002-22i−2i0000000000
χ4022-2-2222i−2i−2i2i-22-222-2-2-222-2-22i−2i2i−2i−2i2i−2i2i-22-22-2-222002i−2i−2i2i000000000000000000-2200−2i2i00000000000000-22−2i2i0000000000
χ4122-2-222−2i2i2i−2i-22-222-2-2-222-2-2−2i2i−2i2i2i−2i2i−2i-22-22-2-22200−2i2i2i−2i0000000000000000002-200−2i2i000000000000002-2−2i2i0000000000
χ4222-2-222−2i2i2i−2i-22-222-2-2-222-2-2−2i2i−2i2i2i−2i2i−2i-22-22-2-22200−2i2i2i−2i000000000000000000-22002i−2i00000000000000-222i−2i0000000000
χ4322-2-222−2i2i−2i2i2-2-222-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-200−2i2i−2i2i00000000000000002-200−2i2i000000002-200−2i2i0000000000000000
χ4422-2-222−2i2i−2i2i2-2-222-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-200−2i2i−2i2i0000000000000000-22002i−2i00000000-22002i−2i0000000000000000
χ4522-2-22-12i−2i2i−2i2-2-2-1211-2-1-1112i−2i−ii−ii2i−2i-112-2-1-11100−ii−ii00−i3i3−i3−i3i3i3003−333−3−32-2002i−2i00000000-11−i3i3−ii3−300000000000000
χ4622-2-22-12i−2i2i−2i2-2-2-1211-2-1-1112i−2i−ii−ii2i−2i-112-2-1-11100−ii−ii00−i3i3−i3−i3i3i3003−333−3−3-2200−2i2i000000001-1i3−i3i−i−3300000000000000
χ4722-2-22-12i−2i2i−2i2-2-2-1211-2-1-1112i−2i−ii−ii2i−2i-112-2-1-11100−ii−ii00i3−i3i3i3−i3−i300−33−3−3332-2002i−2i00000000-11i3−i3−ii−3300000000000000
χ4822-2-22-12i−2i2i−2i2-2-2-1211-2-1-1112i−2i−ii−ii2i−2i-112-2-1-11100−ii−ii00i3−i3i3i3−i3−i300−33−3−333-2200−2i2i000000001-1−i3i3i−i3−300000000000000
χ4922-2-22-1−2i2i−2i2i2-2-2-1211-2-1-111−2i2ii−ii−i−2i2i-112-2-1-11100i−ii−i00−i3i3−i3−i3i3i300−33−3−3332-200−2i2i00000000-11−i3i3i−i−3300000000000000
χ5022-2-22-1−2i2i−2i2i2-2-2-1211-2-1-111−2i2ii−ii−i−2i2i-112-2-1-11100i−ii−i00−i3i3−i3−i3i3i300−33−3−333-22002i−2i000000001-1i3−i3−ii3−300000000000000
χ5122-2-22-1−2i2i−2i2i2-2-2-1211-2-1-111−2i2ii−ii−i−2i2i-112-2-1-11100i−ii−i00i3−i3i3i3−i3−i3003−333−3−32-200−2i2i00000000-11i3−i3i−i3−300000000000000
χ5222-2-22-1−2i2i−2i2i2-2-2-1211-2-1-111−2i2ii−ii−i−2i2i-112-2-1-11100i−ii−i00i3−i3i3i3−i3−i3003−333−3−3-22002i−2i000000001-1−i3i3−ii−3300000000000000
χ5322-2-2-122i−2i−2i2i-2212-1-2-21-1-111−ii2i−2i−2i2ii−i-221-111-1-100−iii−i3−3003−33−3−i3i300−i3i3−i3i3002-2002i−2i0000−i3i300000000-11−ii3−300000000
χ5422-2-2-122i−2i−2i2i-2212-1-2-21-1-111−ii2i−2i−2i2ii−i-221-111-1-100−iii−i3−3003−33−3−i3i300−i3i3−i3i300-2200−2i2i0000i3−i3000000001-1i−i−3300000000
χ5522-2-2-122i−2i−2i2i-2212-1-2-21-1-111−ii2i−2i−2i2ii−i-221-111-1-100−iii−i−3300−33−33i3−i300i3−i3i3−i3002-2002i−2i0000i3−i300000000-11−ii−3300000000
χ5622-2-2-122i−2i−2i2i-2212-1-2-21-1-111−ii2i−2i−2i2ii−i-221-111-1-100−iii−i−3300−33−33i3−i300i3−i3i3−i300-2200−2i2i0000−i3i3000000001-1i−i3−300000000
χ5722-2-2-12−2i2i2i−2i-2212-1-2-21-1-111i−i−2i2i2i−2i−ii-221-111-1-100i−i−ii3−3003−33−3i3−i300i3−i3i3−i3002-200−2i2i0000i3−i300000000-11i−i3−300000000
χ5822-2-2-12−2i2i2i−2i-2212-1-2-21-1-111i−i−2i2i2i−2i−ii-221-111-1-100i−i−ii3−3003−33−3i3−i300i3−i3i3−i300-22002i−2i0000−i3i3000000001-1−ii−3300000000
χ5922-2-2-12−2i2i2i−2i-2212-1-2-21-1-111i−i−2i2i2i−2i−ii-221-111-1-100i−i−ii−3300−33−33−i3i300−i3i3−i3i3002-200−2i2i0000−i3i300000000-11i−i−3300000000
χ6022-2-2-12−2i2i2i−2i-2212-1-2-21-1-111i−i−2i2i2i−2i−ii-221-111-1-100i−i−ii−3300−33−33−i3i300−i3i3−i3i300-22002i−2i0000i3−i3000000001-1−ii3−300000000
χ6144444-244-4-4-4-44-24-2-24-2-2-2-244-2-222-4-422-4-4222200-2-2220000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-44-24-2-24-2-2-2-2-4-422-2-24422-4-422220022-2-20000000000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-24-244-2-2-2-2-2-2-244-4-422-4-422222200-2-2220000000000000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-24-244-2-2-2-2-222-4-444-2-2-4-42222220022-2-20000000000000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-222222222-1-1-1-10011-1-100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-222222222-1-1-1-10011-1-10000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-100-1-11100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-100-1-1110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-211114-4-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-21111-44-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7344-4-44-24i−4i−4i4i-44-4-2422-4-2-2224i−4i−2i2i2i−2i−4i4i2-2-4422-2-200−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i4i−4i-44-4-2422-4-2-222−4i4i2i−2i−2i2i4i−4i2-2-4422-2-2002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-424-2-4-42-2-222−2i2i4i−4i4i−4i−2i2i4-4-22-2-22200−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-424-2-4-42-2-2222i−2i−4i4i−4i4i2i−2i4-4-22-2-222002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-42-2-222211-1-1−2i2i−2i2i−2i2i−2i2i-22-2211-1-100i−ii−i00−2i32i3i3i3−i3−i30023−23−3−333000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-42-2-222211-1-1−2i2i−2i2i−2i2i−2i2i-22-2211-1-100i−ii−i002i3−2i3−i3−i3i3i300−232333−3−3000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-442-2-222211-1-1−2i2i−2i2i2i−2i2i−2i2-22-2-1-11100i−i−ii23−2300−33−33−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-442-2-222211-1-1−2i2i−2i2i2i−2i2i−2i2-22-2-1-11100i−i−ii−2323003−33−32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-442-2-222211-1-12i−2i2i−2i−2i2i−2i2i2-22-2-1-11100−iii−i23−2300−33−332i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-442-2-222211-1-12i−2i2i−2i−2i2i−2i2i2-22-2-1-11100−iii−i−2323003−33−3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-42-2-222211-1-12i−2i2i−2i2i−2i2i−2i-22-2211-1-100−ii−ii00−2i32i3i3i3−i3−i300−232333−3−3000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-42-2-222211-1-12i−2i2i−2i2i−2i2i−2i-22-2211-1-100−ii−ii002i3−2i3−i3−i3i3i30023−23−3−333000000000000000000000000000000000000
χ854-44-4440000004-4-44-4-44-44-40000000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ864-44-4440000004-4-44-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ874-4-4444000000-4-4-4-4444-4-4400000000000000000000000000000000000000000000000000000000000000000000000022−22
χ884-4-4444000000-4-4-4-4444-4-44000000000000000000000000000000000000000000000000000000000000000000000000−2222
χ898-88-88-400000084-8-44-8-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-48000000-4-848-84-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-4000000-444-4442-22-20000000000006i−6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4000000-444-4442-22-2000000000000−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-84-84-48-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000004-84-88-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000004444-4-42-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40000004444-4-42-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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