Finite Group Databasebeta

← Group #11872327

Character table — Group #11872327

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222334444446666661212121236661212121212121212121212121212881212121224242424242424242424242424242424244444448888242424242424242424666121212121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11111-1-111-1-1-1-111-1-1-11
χ10111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-111-1-11-1-1-1-11111-1-1111-1
χ11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-111-11111-1-1-1-1-1-1111-1
χ12111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-1-1-111-1-1111111-1-1-11
χ13111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-111-1-11-1-111-1-11111-1-11-1
χ14111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111111-11111-1-1-1-111-1-1-1-111-11
χ15111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-111-11
χ16111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-11-1-111-111-1-111-1-111-1-11-1
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000002-200-220000000000000000200-22-2000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000-22002-20000000000000000-2002-22000000000000
χ19222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200-2-22200000000000000002-2002-20000000000000000200-2-22000000000000
χ20222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200-2-2220000000000000000-2200-220000000000000000-20022-2000000000000
χ2122222-1222222-1222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220022000000000000220-1-1000-1-1-1-1-1-1000000
χ2222222-1222222-1222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2011000111111000000
χ2322222-1222222-1222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100220022000000000000-2-2011000-1-1-1-111000000
χ2422222-1222222-1222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100-2-200-2-2000000000000220-1-10001111-1-1000000
χ2522222-1-2-2-2-222-1222-1-12222-1-1-1-111-2-2-2-211-1-1-1-1-1-12-2111122-2-2-1-1-1-1-1-1111111002200-2-20000000000002-20-1-1000-1-11111000000
χ2622222-1-2-2-2-222-1222-1-12222-1-1-1-111-2-2-2-211-1-1-1-1-1-12-2111122-2-2-1-1-1-1-1-111111100-2-20022000000000000-2201100011-1-1-1-1000000
χ2722222-1-2-2-2-222-1222-1-12222-1-1-1-111-2-2-2-211-1-1-1-1-1-1-221111-2-222111111-1-1-1-1-1-1002200-2-2000000000000-22011000-1-111-1-1000000
χ2822222-1-2-2-2-222-1222-1-12222-1-1-1-111-2-2-2-211-1-1-1-1-1-1-221111-2-222111111-1-1-1-1-1-100-2-200220000000000002-20-1-100011-1-111000000
χ292222-122222222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220022002222-1-1-1-1-1-1-1-100-100-1-1-1000000000000
χ302222-122222222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-2-2-21111111100100111000000000000
χ312222-122222222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-2-2-1-1-1-11111-2-21111-2-2111122002200-2-2-2-21111111100-100-1-1-1000000000000
χ322222-122222222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-2-2-1-1-1-11111-2-21111-2-21111-2-200-2-2002222-1-1-1-1-1-1-1-100100111000000000000
χ332222-1222-2-2-2-22-1-1-1221111-1-1-1-122-1-111-2-2-2-2111100-1-1113−33−30033−3−30033−3−32-200-2200000033−3−333−3−300-1001-11000000000000
χ342222-1222-2-2-2-22-1-1-1221111-1-1-1-122-1-111-2-2-2-2111100-1-1113−33−30033−3−30033−3−3-22002-2000000−3−333−3−33300100-11-1000000000000
χ352222-1222-2-2-2-22-1-1-1221111-1-1-1-122-1-111-2-2-2-2111100-1-111−33−3300−3−33300−3−3332-200-22000000−3−333−3−33300-1001-11000000000000
χ362222-1222-2-2-2-22-1-1-1221111-1-1-1-122-1-111-2-2-2-2111100-1-111−33−3300−3−33300−3−333-22002-200000033−3−333−3−300100-11-1000000000000
χ372222-12-2-222-2-22-1-1-1221111-1-1-1-1-2-211-1-122-2-211110011-1-13−3−330033−3−300−3−3332-2002-200000033−3−3−3−33300-10011-1000000000000
χ382222-12-2-222-2-22-1-1-1221111-1-1-1-1-2-211-1-122-2-211110011-1-13−3−330033−3−300−3−333-2200-22000000−3−33333−3−300100-1-11000000000000
χ392222-12-2-222-2-22-1-1-1221111-1-1-1-1-2-211-1-122-2-211110011-1-1−333−300−3−3330033−3−32-2002-2000000−3−33333−3−300-10011-1000000000000
χ402222-12-2-222-2-22-1-1-1221111-1-1-1-1-2-211-1-122-2-211110011-1-1−333−300−3−3330033−3−3-2200-2200000033−3−3−3−33300100-1-11000000000000
χ412222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-1-2-21111-2-222-1-1-1-12-21111-1-11122-1-1-1-1-2-211112200-2-20022-2-2-1-1-1-1111100-100-111000000000000
χ422222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-1-2-21111-2-222-1-1-1-12-21111-1-11122-1-1-1-1-2-21111-2-2002200-2-2221111-1-1-1-1001001-1-1000000000000
χ432222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-1-2-21111-2-222-1-1-1-1-22111111-1-1-2-2111122-1-1-1-12200-2-200-2-2221111-1-1-1-100-100-111000000000000
χ442222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-1-2-21111-2-222-1-1-1-1-22111111-1-1-2-2111122-1-1-1-1-2-200220022-2-2-1-1-1-11111001001-1-1000000000000
χ4522-2-2222i−2i2i−2i2-2-22-2-22-222-2-222-2-22i−2i2i−2i2i−2i2i−2i2-222-2-2002i−2i2i−2i0000000000000000002-2002i−2i000000000000000000002-22i−2i00000000
χ4622-2-2222i−2i2i−2i2-2-22-2-22-222-2-222-2-22i−2i2i−2i2i−2i2i−2i2-222-2-2002i−2i2i−2i000000000000000000-2200−2i2i00000000000000000000-22−2i2i00000000
χ4722-2-2222i−2i−2i2i-22-22-2-22-2-2-22222-2-22i−2i2i−2i−2i2i−2i2i-22-2-222002i−2i−2i2i000000000000000000000000000000000000000000000000002-22i−2i00
χ4822-2-2222i−2i−2i2i-22-22-2-22-2-2-22222-2-22i−2i2i−2i−2i2i−2i2i-22-2-222002i−2i−2i2i00000000000000000000000000000000000000000000000000-22−2i2i00
χ4922-2-222−2i2i2i−2i-22-22-2-22-2-2-22222-2-2−2i2i−2i2i2i−2i2i−2i-22-2-22200−2i2i2i−2i000000000000000000000000000000000000000000000000002-2−2i2i00
χ5022-2-222−2i2i2i−2i-22-22-2-22-2-2-22222-2-2−2i2i−2i2i2i−2i2i−2i-22-2-22200−2i2i2i−2i00000000000000000000000000000000000000000000000000-222i−2i00
χ5122-2-222−2i2i−2i2i2-2-22-2-22-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-222-2-200−2i2i−2i2i0000000000000000002-200−2i2i000000000000000000002-2−2i2i00000000
χ5222-2-222−2i2i−2i2i2-2-22-2-22-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-222-2-200−2i2i−2i2i000000000000000000-22002i−2i00000000000000000000-222i−2i00000000
χ5322-2-22-12i−2i2i−2i2-212-2-2-1122-2-2-1-111−ii2i−2i2i−2i−ii-11-1-11100−ii−ii0000−i3i3−i3i3−i3i33−33−33−3002-2002i−2i000000000000000−i3i3000-11−ii3−3000000
χ5422-2-22-12i−2i2i−2i2-212-2-2-1122-2-2-1-111−ii2i−2i2i−2i−ii-11-1-11100−ii−ii0000−i3i3−i3i3−i3i33−33−33−300-2200−2i2i000000000000000i3−i30001-1i−i−33000000
χ5522-2-22-12i−2i2i−2i2-212-2-2-1122-2-2-1-111−ii2i−2i2i−2i−ii-11-1-11100−ii−ii0000i3−i3i3−i3i3−i3−33−33−33002-2002i−2i000000000000000i3−i3000-11−ii−33000000
χ5622-2-22-12i−2i2i−2i2-212-2-2-1122-2-2-1-111−ii2i−2i2i−2i−ii-11-1-11100−ii−ii0000i3−i3i3−i3i3−i3−33−33−3300-2200−2i2i000000000000000−i3i30001-1i−i3−3000000
χ5722-2-22-1−2i2i−2i2i2-212-2-2-1122-2-2-1-111i−i−2i2i−2i2ii−i-11-1-11100i−ii−i0000−i3i3−i3i3−i3i3−33−33−33002-200−2i2i000000000000000−i3i3000-11i−i−33000000
χ5822-2-22-1−2i2i−2i2i2-212-2-2-1122-2-2-1-111i−i−2i2i−2i2ii−i-11-1-11100i−ii−i0000−i3i3−i3i3−i3i3−33−33−3300-22002i−2i000000000000000i3−i30001-1−ii3−3000000
χ5922-2-22-1−2i2i−2i2i2-212-2-2-1122-2-2-1-111i−i−2i2i−2i2ii−i-11-1-11100i−ii−i0000i3−i3i3−i3i3−i33−33−33−3002-200−2i2i000000000000000i3−i3000-11i−i3−3000000
χ6022-2-22-1−2i2i−2i2i2-212-2-2-1122-2-2-1-111i−i−2i2i−2i2ii−i-11-1-11100i−ii−i0000i3−i3i3−i3i3−i33−33−33−300-22002i−2i000000000000000−i3i30001-1−ii−33000000
χ6144444-244-4-4-4-4-2444-2-2-4-4-4-4-2-2-2-2-2-244-4-42222222200-2-22200000000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-4-2444-2-2-4-4-4-4-2-2-2-222-4-444-2-22222220022-2-200000000000000000000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111441111-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111-4-41111222222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ654444-2-244-4-4-4-4-2-2-2-2-2-222221111-2-2-2-2222222-1-1-1-10011-1-123−2323−2300−3−33300−3−3330000000000000000000000000000000000000000
χ664444-2-244-4-4-4-4-2-2-2-2-2-222221111-2-2-2-2222222-1-1-1-10011-1-1−2323−23230033−3−30033−3−30000000000000000000000000000000000000000
χ674444-2-2-4-444-4-4-2-2-2-2-2-2222211112222-2-2-2-222-1-1-1-100-1-11123−23−232300−3−3330033−3−30000000000000000000000000000000000000000
χ684444-2-2-4-444-4-4-2-2-2-2-2-2222211112222-2-2-2-222-1-1-1-100-1-111−232323−230033−3−300−3−3330000000000000000000000000000000000000000
χ694444-2-2-4-4-4-444-2-2-2-2-2-2-2-2-2-2111122222222-2-211114-4-1-1-1-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000000000
χ704444-2-2-4-4-4-444-2-2-2-2-2-2-2-2-2-2111122222222-2-21111-44-1-1-1-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000000000
χ7144-4-44-24i−4i−4i4i-4424-4-4-22-4-444-2-222−2i2i4i−4i−4i4i2i−2i2-222-2-200−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ7244-4-44-2−4i4i4i−4i-4424-4-4-22-4-444-2-2222i−2i−4i4i4i−4i−2i2i2-222-2-2002i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ7344-4-4-244i−4i4i−4i4-4-4-2224-4-2-222-2-2224i−4i−2i2i−2i2i4i−4i4-4-2-22200−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ7444-4-4-244i−4i−4i4i-44-4-2224-422-2-2-2-2224i−4i−2i2i2i−2i−4i4i-4422-2-200−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ7544-4-4-24−4i4i4i−4i-44-4-2224-422-2-2-2-222−4i4i2i−2i−2i2i4i−4i-4422-2-2002i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-4-2224-4-2-222-2-222−4i4i2i−2i2i−2i−4i4i4-4-2-222002i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-42-222-22-2-22211-1-1−2i2i−2i2i−2i2i−2i2i-2211-1-100i−ii−i0000−2i32i3i3−i3i3−i323−23−33−330000000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-42-222-22-2-22211-1-1−2i2i−2i2i−2i2i−2i2i-2211-1-100i−ii−i00002i3−2i3−i3i3−i3i3−23233−33−30000000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-442-222-2222-2-211-1-1−2i2i−2i2i2i−2i2i−2i2-2-1-11100i−i−ii0000003i−3i−3i3i00-333-30000000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-442-222-2222-2-211-1-1−2i2i−2i2i2i−2i2i−2i2-2-1-11100i−i−ii000000−3i3i3i−3i003-3-330000000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-442-222-2222-2-211-1-12i−2i2i−2i−2i2i−2i2i2-2-1-11100−iii−i0000003i−3i−3i3i003-3-330000000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-442-222-2222-2-211-1-12i−2i2i−2i−2i2i−2i2i2-2-1-11100−iii−i000000−3i3i3i−3i00-333-30000000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-42-222-22-2-22211-1-12i−2i2i−2i2i−2i2i−2i-2211-1-100−ii−ii0000−2i32i3i3−i3i3−i3−23233−33−30000000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-42-222-22-2-22211-1-12i−2i2i−2i2i−2i2i−2i-2211-1-100−ii−ii00002i3−2i3−i3i3−i3i323−23−33−330000000000000000000000000000000000000000
χ854-44-4440000004-44-4-4-400004-44-40000000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ864-44-4440000004-44-4-4-400004-44-400000000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ874-44-4-2400000042-22-4-423−2323−23-22-22000000000023−2323−2300000000000000000000000000000000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000
χ884-44-4-2400000042-22-4-423−2323−23-22-22000000000023−2323−23000000000000000000000000000000002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000
χ894-44-4-2400000042-22-4-4−2323−2323-22-220000000000−2323−232300000000000000000000000000000000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000
χ904-44-4-2400000042-22-4-4−2323−2323-22-220000000000−2323−2323000000000000000000000000000000002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000
χ914-4-4444000000-4-4-44-4400004-4-440000000000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ924-4-4444000000-4-4-44-4400004-4-4400000000000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ934-4-44-24000000-422-2-4423−23−2323-222-2000000000023−23−232300000000000000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000
χ944-4-44-24000000-422-2-4423−23−2323-222-2000000000023−23−2323000000000000000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000
χ954-4-44-24000000-422-2-44−232323−23-222-20000000000−232323−2300000000000000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000
χ964-4-44-24000000-422-2-44−232323−23-222-20000000000−232323−23000000000000000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000
χ978-88-88-4000000-4-88-8440000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4000000-44-444443−4343−432-22-20000000000−2323−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000000-44-4444−4343−43432-22-2000000000023−2323−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000004-8-884-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000444-44-443−43−43432-2-220000000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000444-44-4−434343−432-2-22000000000023−23−232300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.