Finite Group Databasebeta

← Group #11871289

Character table — Group #11871289

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12223344444466666636661212121212121212121212121212121288121212122424242424242424242424242424242422224444224422446666666612121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-11111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1111-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-1-11-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-11-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-111111111-1-11-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-111-111-1-11111-1-111-1-1-1-11-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11-1-11-1-111-1-1-1-111-1-111111-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000000000222200000000000000000000-2-200
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000000000-2-2-2-2000000000000000000002200
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200-2-22200000000000000000000000022-2-200000000000000000000-2200
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200-2-222000000000000000000000000-2-222000000000000000000002-200
χ2122222-12222222-122-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100220022000002020000-1-1-1-10000-1-1-1-10000
χ2222222-12222222-122-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-200000-20-200001111000011110000
χ2322222-12222222-122-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-21111110022002200000-20-20000-1-1110000-1-1110000
χ2422222-12222222-122-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-211111100-2-200-2-200000202000011-1-1000011-1-10000
χ2522222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-12-2111122-1-1-1-1-1-1-2-2111111002200-2-200000-2020000-1-111000011-1-10000
χ2622222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-12-2111122-1-1-1-1-1-1-2-211111100-2-200220000020-2000011-1-10000-1-1110000
χ2722222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-1-221111-2-211111122-1-1-1-1-1-1002200-2-20000020-20000-1-1-1-1000011110000
χ2822222-1-2-2-2-2222-122-1-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-1-221111-2-211111122-1-1-1-1-1-100-2-2002200000-202000011110000-1-1-1-10000
χ292222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12200220000002020-1-1-1-10000-1-1-1-100000000
χ302222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-2000000-20-2011110000111100000000
χ312222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-122-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111220022000000-20-20-1-1110000-1-11100000000
χ322222-12222222-12-1-122-1-1-1-1-1-122-1-122-1-122-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111-2-200-2-2000000202011-1-1000011-1-100000000
χ332222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-122-1-1-1-12-21111-1-122-1-1-1-111-2-211112200-2-200000020-20-1-1-1-10000111100000000
χ342222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-122-1-1-1-12-21111-1-122-1-1-1-111-2-21111-2-20022000000-202011110000-1-1-1-100000000
χ352222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-122-1-1-1-1-22111111-2-21111-1-122-1-1-1-12200-2-2000000-2020-1-111000011-1-100000000
χ362222-12-2-2-2-222-12-1-122-1-1-1-111-2-211-2-2-1-122-1-1-1-1-22111111-2-21111-1-122-1-1-1-1-2-2002200000020-2011-1-10000-1-11100000000
χ3722-2-2222i−2i2i−2i2-222-2-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2-22-222-2-2002i−2i2i−2i00000000000000002-2002i−2i00000000002-20000002i−2i0000000000
χ3822-2-2222i−2i2i−2i2-222-2-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2-22-222-2-2002i−2i2i−2i0000000000000000-2200−2i2i0000000000-22000000−2i2i0000000000
χ3922-2-2222i−2i−2i2i-2222-2-2-2-222-2-22i−2i2i−2i−2i2i−2i2i-22-22-2-222002i−2i−2i2i0000000000000000002-2002i−2i0000000000002-20000002i−2i000000
χ4022-2-2222i−2i−2i2i-2222-2-2-2-222-2-22i−2i2i−2i−2i2i−2i2i-22-22-2-222002i−2i−2i2i000000000000000000-2200−2i2i000000000000-22000000−2i2i000000
χ4122-2-222−2i2i2i−2i-2222-2-2-2-222-2-2−2i2i−2i2i2i−2i2i−2i-22-22-2-22200−2i2i2i−2i0000000000000000002-200−2i2i0000000000002-2000000−2i2i000000
χ4222-2-222−2i2i2i−2i-2222-2-2-2-222-2-2−2i2i−2i2i2i−2i2i−2i-22-22-2-22200−2i2i2i−2i000000000000000000-22002i−2i000000000000-220000002i−2i000000
χ4322-2-222−2i2i−2i2i2-222-2-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-200−2i2i−2i2i00000000000000002-200−2i2i00000000002-2000000−2i2i0000000000
χ4422-2-222−2i2i−2i2i2-222-2-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-200−2i2i−2i2i0000000000000000-22002i−2i0000000000-220000002i−2i0000000000
χ4522-2-22-12i−2i−2i2i-222-1-2-211-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i003−333−3−300−i3i3−i3−i3i3i3002-2002i−2i000000000000-11−i3i30000−ii3−30000
χ4622-2-22-12i−2i−2i2i-222-1-2-211-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i003−333−3−300−i3i3−i3−i3i3i300-2200−2i2i0000000000001-1i3−i30000i−i−330000
χ4722-2-22-12i−2i−2i2i-222-1-2-211-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i00−33−3−33300i3−i3i3i3−i3−i3002-2002i−2i000000000000-11i3−i30000−ii−330000
χ4822-2-22-12i−2i−2i2i-222-1-2-211-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i00−33−3−33300i3−i3i3i3−i3−i300-2200−2i2i0000000000001-1−i3i30000i−i3−30000
χ4922-2-22-1−2i2i2i−2i-222-1-2-211-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii003−333−3−300i3−i3i3i3−i3−i3002-200−2i2i000000000000-11i3−i30000i−i3−30000
χ5022-2-22-1−2i2i2i−2i-222-1-2-211-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii003−333−3−300i3−i3i3i3−i3−i300-22002i−2i0000000000001-1−i3i30000−ii−330000
χ5122-2-22-1−2i2i2i−2i-222-1-2-211-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii00−33−3−33300−i3i3−i3−i3i3i3002-200−2i2i000000000000-11−i3i30000i−i−330000
χ5222-2-22-1−2i2i2i−2i-222-1-2-211-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii00−33−3−33300−i3i3−i3−i3i3i300-22002i−2i0000000000001-1i3−i30000−ii3−30000
χ5322-2-2-122i−2i2i−2i2-2-1211-2-2-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−ii−i3i300−i3i3−i3i33−3003−33−32-2002i−2i0000000000-11−i3i30000−ii3−300000000
χ5422-2-2-122i−2i2i−2i2-2-1211-2-2-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−ii−i3i300−i3i3−i3i33−3003−33−3-2200−2i2i00000000001-1i3−i30000i−i−3300000000
χ5522-2-2-122i−2i2i−2i2-2-1211-2-2-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−iii3−i300i3−i3i3−i3−3300−33−332-2002i−2i0000000000-11i3−i30000−ii−3300000000
χ5622-2-2-122i−2i2i−2i2-2-1211-2-2-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−iii3−i300i3−i3i3−i3−3300−33−33-2200−2i2i00000000001-1−i3i30000i−i3−300000000
χ5722-2-2-12−2i2i−2i2i2-2-1211-2-2-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−i−i3i300−i3i3−i3i3−3300−33−332-200−2i2i0000000000-11−i3i30000i−i−3300000000
χ5822-2-2-12−2i2i−2i2i2-2-1211-2-2-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−i−i3i300−i3i3−i3i3−3300−33−33-22002i−2i00000000001-1i3−i30000−ii3−300000000
χ5922-2-2-12−2i2i−2i2i2-2-1211-2-2-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−ii3−i300i3−i3i3−i33−3003−33−32-200−2i2i0000000000-11i3−i30000i−i3−300000000
χ6022-2-2-12−2i2i−2i2i2-2-1211-2-2-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−ii3−i300i3−i3i3−i33−3003−33−3-22002i−2i00000000001-1−i3i30000−ii−3300000000
χ6144444-244-4-4-4-44-244-2-2-2-2-2-244-2-2-4-422-4-422222200-2-2220000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-44-244-2-2-2-2-2-2-4-42244-2-2-4-42222220022-2-20000000000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-24-2-244-2-2-2-2-2-24422-4-422-4-4222200-2-2220000000000000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-24-2-244-2-2-2-222-4-4-2-24422-4-422220022-2-20000000000000000000000000000000000000000000000000000
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−4i4i−4i4-44-2-4-422-2-2224i−4i−2i2i4i−4i−2i2i4-4-22-2-22200−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-44-2-4-422-2-222−4i4i2i−2i−4i4i2i−2i4-4-22-2-222002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ7544-4-4-244i−4i−4i4i-44-2422-4-4-2-222−2i2i4i−4i2i−2i−4i4i2-2-4422-2-200−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i4i−4i-44-2422-4-4-2-2222i−2i−4i4i−2i2i4i−4i2-2-4422-2-2002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-2-2222211-1-1−2i2i−2i2i−2i2i−2i2i-22-2211-1-100i−ii−i−2i32i300i3−i3i3−i323−2300−33−33000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-2-2222211-1-1−2i2i−2i2i−2i2i−2i2i-22-2211-1-100i−ii−i2i3−2i300−i3i3−i3i3−2323003−33−3000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-2-2222211-1-1−2i2i−2i2i2i−2i2i−2i2-22-2-1-11100i−i−ii0023−23−3−33300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-2-2222211-1-1−2i2i−2i2i2i−2i2i−2i2-22-2-1-11100i−i−ii00−232333−3−3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-2-2222211-1-12i−2i2i−2i−2i2i−2i2i2-22-2-1-11100−iii−i0023−23−3−333002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-2-2222211-1-12i−2i2i−2i−2i2i−2i2i2-22-2-1-11100−iii−i00−232333−3−300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-2-2222211-1-12i−2i2i−2i2i−2i2i−2i-22-2211-1-100−ii−ii−2i32i300i3−i3i3−i3−2323003−33−3000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-2-2222211-1-12i−2i2i−2i2i−2i2i−2i-22-2211-1-100−ii−ii2i3−2i300−i3i3−i3i323−2300−33−33000000000000000000000000000000000000
χ854-44-444000000-4-44-44-44-44-40000000000000000000000000000000000000000000000004-4000000000000000000000000
χ864-44-444000000-4-44-44-44-44-4000000000000000000000000000000000000000000000000-44000000000000000000000000
χ874-4-4444000000-4-4-44-444-4-4400000000000000000000000000000000000000000000004-400000000000000000000000000
χ884-4-4444000000-4-4-44-444-4-440000000000000000000000000000000000000000000000-4400000000000000000000000000
χ898-88-88-4000000-848-8-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-480000004-8-448-8-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400000044-44-442-22-20000000000006i−6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400000044-44-442-22-2000000000000−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-84-884-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000004-84-4-88-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000000444-44-42-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000000444-44-42-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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