Finite Group Databasebeta

← Group #11872832

Character table — Group #11872832

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222334444446666663666121212121212121212121212121212124412121212121212121212121212121212121212122224444444666881212121212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-11-1-1111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-1-11111-1-11-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-111-111-1-1-111-111-111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11-1-1111-1-11-1-11-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-11111111111-1-1-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-11111-1-1-1-1111-1-11-1-1-111111-1-1-1-1-1111-1-111-1-111-1-111-1-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111-1-1111-11-1-11-1-1-11111-1-1-1-111-1-111
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-111-1-1-11-111-1111-1-1-1-111-1-111-1-111
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-111-1111-1-1-1-1-111111-1-1-111-1-11111-1-111-1-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-11111111-1-11-1-11-1111-11-1-1-1-1-1-1111-1-11111-1-1-1-111
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-111-11-111-111-1-1111-1-1-1-1-111-1-11111-1-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-11-11-1-11-1-111-1-1-111111-1-1-1-11111-1-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-11111-1-1-111-111-11-1-1-11-1111111-1-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000-2-2220000000000200-2-220020000-200200-200000000000000
χ1822222222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000-2-2220000000000-20022-200-20000200-200200000000000000
χ19222222-2-222-2-2222222222222-2-2-2-222-2-22222-2-20000000000-2-2-2-20000000000200-22-20020000200-200-200000000000000
χ20222222-2-222-2-2222222222222-2-2-2-222-2-22222-2-20000000000-2-2-2-20000000000-2002-2200-20000-200200200000000000000
χ2122222-1222222-1-12-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122022000000-1-1220-1-1000000-1-1-1-100000000
χ2222222-1222222-1-12-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000011-2-2011000000111100000000
χ2322222-1222222-1-12-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-2-211-2-211-2-2-1-1-1-11111111122022000000-1-1-2-20-1-1000000111100000000
χ2422222-1222222-1-12-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-2-211-2-211-2-2-1-1-1-111111111-2-20-2-20000001122011000000-1-1-1-100000000
χ2522222-1-2-2-2-222-1-12-122-1-1-1-111-2-211-2-2221111-1-12-2-1-1-2-21122-1-111-1-1-1-11111220-2-2000000-1-12-2011000000-1-11100000000
χ2622222-1-2-2-2-222-1-12-122-1-1-1-111-2-211-2-2221111-1-12-2-1-1-2-21122-1-111-1-1-1-11111-2-202200000011-220-1-100000011-1-100000000
χ2722222-1-2-2-2-222-1-12-122-1-1-1-111-2-211-2-2221111-1-1-221122-1-1-2-2-1-1111111-1-1-1-1220-2-2000000-1-1-2201100000011-1-100000000
χ2822222-1-2-2-2-222-1-12-122-1-1-1-111-2-211-2-2221111-1-1-221122-1-1-2-2-1-1111111-1-1-1-1-2-2022000000112-20-1-1000000-1-11100000000
χ292222-1222222222-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10020022222-10000-100-1-1-1-1-1-1000000000000
χ302222-1222222222-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-200-2-2-2-2-210000100111111000000000000
χ312222-1222222222-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-11111111100200222-2-2-10000-100-111-111000000000000
χ322222-1222222222-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-11111111100-200-2-2-222100001001-1-11-1-1000000000000
χ332222-1222-2-2-2-222-12-1-1-1-1-1-1-2-2-1-12211111111-2-20000−i3i300−i3i311-1-1−i3−i3i3i3−i3−i3i3i300200-2-2200-10000100-1−i3i31−i3i3000000000000
χ342222-1222-2-2-2-222-12-1-1-1-1-1-1-2-2-1-12211111111-2-20000−i3i300−i3i311-1-1−i3−i3i3i3−i3−i3i3i300-20022-20010000-1001i3−i3-1i3−i3000000000000
χ352222-1222-2-2-2-222-12-1-1-1-1-1-1-2-2-1-12211111111-2-20000i3−i300i3−i311-1-1i3i3−i3−i3i3i3−i3−i300200-2-2200-10000100-1i3−i31i3−i3000000000000
χ362222-1222-2-2-2-222-12-1-1-1-1-1-1-2-2-1-12211111111-2-20000i3−i300i3−i311-1-1i3i3−i3−i3i3i3−i3−i300-20022-20010000-1001−i3i3-1−i3i3000000000000
χ372222-12-2-222-2-222-12-1-1-1-1-1-12211-2-2-1-111-1-1-1-1-2-20000−i3i300i3−i31111i3i3−i3−i3−i3−i3i3i300200-22-200-10000-1001i3−i31−i3i3000000000000
χ382222-12-2-222-2-222-12-1-1-1-1-1-12211-2-2-1-111-1-1-1-1-2-20000−i3i300i3−i31111i3i3−i3−i3−i3−i3i3i300-2002-220010000100-1−i3i3-1i3−i3000000000000
χ392222-12-2-222-2-222-12-1-1-1-1-1-12211-2-2-1-111-1-1-1-1-2-20000i3−i300−i3i31111−i3−i3i3i3i3i3−i3−i300200-22-200-10000-1001−i3i31i3−i3000000000000
χ402222-12-2-222-2-222-12-1-1-1-1-1-12211-2-2-1-111-1-1-1-1-2-20000i3−i300−i3i31111−i3−i3i3i3i3i3−i3−i300-2002-220010000100-1i3−i3-1−i3i3000000000000
χ412222-12-2-2-2-22222-12-1-1-1-1-1-1-2-211-2-211-1-11111222-22211-2-2-1-1-1-111-1-1-1-11111002002-2-2-22-100001001-1-1-111000000000000
χ422222-12-2-2-2-22222-12-1-1-1-1-1-1-2-211-2-211-1-11111222-22211-2-2-1-1-1-111-1-1-1-1111100-200-2222-210000-100-1111-1-1000000000000
χ432222-12-2-2-2-22222-12-1-1-1-1-1-1-2-211-2-211-1-1111122-22-2-2-1-12211-1-1111111-1-1-1-1002002-2-22-2-10000100111-1-1-1000000000000
χ442222-12-2-2-2-22222-12-1-1-1-1-1-1-2-211-2-211-1-1111122-22-2-2-1-12211-1-1111111-1-1-1-100-200-222-2210000-100-1-1-1111000000000000
χ4522-2-2222i−2i2i−2i2-2-22-2-2-222-22-22i−2i2i−2i2i−2i2i−2i2-22i2i−2i−2i2-200000000002-22i−2i0000000000000000000000000000000000002-22i−2i0000
χ4622-2-2222i−2i2i−2i2-2-22-2-2-222-22-22i−2i2i−2i2i−2i2i−2i2-22i2i−2i−2i2-200000000002-22i−2i000000000000000000000000000000000000-22−2i2i0000
χ4722-2-2222i−2i−2i2i-22-22-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i-22−2i−2i2i2i-220000000000-222i−2i000000002-202i−2i0000002-20002i−2i000000000000000000
χ4822-2-2222i−2i−2i2i-22-22-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i-22−2i−2i2i2i-220000000000-222i−2i00000000-220−2i2i000000-22000−2i2i000000000000000000
χ4922-2-222−2i2i2i−2i-22-22-2-2-222-22-22i−2i−2i2i−2i2i2i−2i-222i2i−2i−2i-220000000000-22−2i2i000000002-20−2i2i0000002-2000−2i2i000000000000000000
χ5022-2-222−2i2i2i−2i-22-22-2-2-222-22-22i−2i−2i2i−2i2i2i−2i-222i2i−2i−2i-220000000000-22−2i2i00000000-2202i−2i000000-220002i−2i000000000000000000
χ5122-2-222−2i2i−2i2i2-2-22-2-2-222-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i−2i2i2i2-200000000002-2−2i2i0000000000000000000000000000000000002-2−2i2i0000
χ5222-2-222−2i2i−2i2i2-2-22-2-2-222-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i−2i2i2i2-200000000002-2−2i2i000000000000000000000000000000000000-222i−2i0000
χ5322-2-22-12i−2i−2i2i-221-1-21-22-11-11i−i2i−2i−ii−2i2i-22ii−i−i1-100−i3i3003−3001-1−ii−i3i3−i3i33−33−32-202i−2i000000-11000−ii000000−i3i33−300000000
χ5422-2-22-12i−2i−2i2i-221-1-21-22-11-11i−i2i−2i−ii−2i2i-22ii−i−i1-100−i3i3003−3001-1−ii−i3i3−i3i33−33−3-220−2i2i0000001-1000i−i000000i3−i3−3300000000
χ5522-2-22-12i−2i−2i2i-221-1-21-22-11-11i−i2i−2i−ii−2i2i-22ii−i−i1-100i3−i300−33001-1−iii3−i3i3−i3−33−332-202i−2i000000-11000−ii000000i3−i3−3300000000
χ5622-2-22-12i−2i−2i2i-221-1-21-22-11-11i−i2i−2i−ii−2i2i-22ii−i−i1-100i3−i300−33001-1−iii3−i3i3−i3−33−33-220−2i2i0000001-1000i−i000000−i3i33−300000000
χ5722-2-22-1−2i2i2i−2i-221-1-21-22-11-11−ii−2i2ii−i2i−2i-22−i−iii1-100−i3i300−33001-1i−i−i3i3−i3i3−33−332-20−2i2i000000-11000i−i000000−i3i3−3300000000
χ5822-2-22-1−2i2i2i−2i-221-1-21-22-11-11−ii−2i2ii−i2i−2i-22−i−iii1-100−i3i300−33001-1i−i−i3i3−i3i3−33−33-2202i−2i0000001-1000−ii000000i3−i33−300000000
χ5922-2-22-1−2i2i2i−2i-221-1-21-22-11-11−ii−2i2ii−i2i−2i-22−i−iii1-100i3−i3003−3001-1i−ii3−i3i3−i33−33−32-20−2i2i000000-11000i−i000000i3−i33−300000000
χ6022-2-22-1−2i2i2i−2i-221-1-21-22-11-11−ii−2i2ii−i2i−2i-22−i−iii1-100i3−i3003−3001-1i−ii3−i3i3−i33−33−3-2202i−2i0000001-1000−ii000000−i3i3−3300000000
χ6144444-244-4-4-4-4-2-24-244-2-2-2-22244-2-2-4-4-4-4222222000000000022-2-200000000000000000000000000000000000000000000
χ6244444-2-4-444-4-4-2-24-244-2-2-2-2-2-2-4-42244-4-4-2-2-2-2220000000000222200000000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ654444-2-244-4-4-4-4-2-2-2-2-2-2111122-2-2-2-22222-1-1-1-1220000−2i32i300−2i32i3-1-111i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ664444-2-244-4-4-4-4-2-2-2-2-2-2111122-2-2-2-22222-1-1-1-12200002i3−2i3002i3−2i3-1-111−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ674444-2-2-4-444-4-4-2-2-2-2-2-21111-2-22222-2-2221111220000−2i32i3002i3−2i3-1-1-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ684444-2-2-4-444-4-4-2-2-2-2-2-21111-2-22222-2-22211112200002i3−2i300−2i32i3-1-1-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ694444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-1-1-1-1-2-24-4-2-22222-2-211-1-11111-1-1-1-1000000000000000000000000000000000000
χ704444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-1-1-1-1-2-2-4422-2-2-2-22211-1-1-1-1-1-11111000000000000000000000000000000000000
χ7144-4-44-24i−4i4i−4i4-42-2-42-44-22-22−2i2i4i−4i−2i2i4i−4i4-4−2i−2i2i2i-220000000000-22−2i2i00000000000000000000000000000000000000000000
χ7244-4-44-2−4i4i−4i4i4-42-2-42-44-22-222i−2i−4i4i2i−2i−4i4i4-42i2i−2i−2i-220000000000-222i−2i00000000000000000000000000000000000000000000
χ7344-4-4-244i−4i4i−4i4-4-442-42-2-22-224i−4i−2i2i4i−4i−2i2i-22−2i−2i2i2i4-40000000000-22−2i2i00000000000000000000000000000000000000000000
χ7444-4-4-244i−4i−4i4i-44-442-42-2-22-22−4i4i−2i2i4i−4i2i−2i2-22i2i−2i−2i-4400000000002-2−2i2i00000000000000000000000000000000000000000000
χ7544-4-4-24−4i4i4i−4i-44-442-42-2-22-224i−4i2i−2i−4i4i−2i2i2-2−2i−2i2i2i-4400000000002-22i−2i00000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-442-42-2-22-22−4i4i2i−2i−4i4i2i−2i-222i2i−2i−2i4-40000000000-222i−2i00000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-42-2222-21-11-1−2i2i−2i2i−2i2i−2i2i-22ii−i−i-2200000000001-1i−i3-3-333i−3i−3i3i000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-42-2222-21-11-1−2i2i−2i2i−2i2i−2i2i-22ii−i−i-2200000000001-1i−i-333-3−3i3i3i−3i000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-442-2222-21-11-12i−2i−2i2i−2i2i2i−2i2-2−i−iii2-200−2i32i30023−2300-11i−ii3−i3i3−i3−33−33000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-442-2222-21-11-12i−2i−2i2i−2i2i2i−2i2-2−i−iii2-2002i3−2i300−232300-11i−i−i3i3−i3i33−33−3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-442-2222-21-11-1−2i2i2i−2i2i−2i−2i2i2-2ii−i−i2-200−2i32i300−232300-11−iii3−i3i3−i33−33−3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-442-2222-21-11-1−2i2i2i−2i2i−2i−2i2i2-2ii−i−i2-2002i3−2i30023−2300-11−ii−i3i3−i3i3−33−33000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-42-2222-21-11-12i−2i2i−2i2i−2i2i−2i-22−i−iii-2200000000001-1−ii3-3-33−3i3i3i−3i000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-42-2222-21-11-12i−2i2i−2i2i−2i2i−2i-22−i−iii-2200000000001-1−ii-333-33i−3i−3i3i000000000000000000000000000000000000
χ854-44-444000000-4-444-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ864-44-444000000-4-444-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ874-4-44440000004-4-4-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ884-4-44440000004-4-4-44-444-4-40000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ898-88-88-4000000448-4-8-8-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-48000000-8-8-4844-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400000044-4-4442-2-2200000000006i−6i6i−6i000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400000044-4-4442-2-220000000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-44-848-8-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000008-84-8-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000000-4444-4422-2-200000000006-6-66000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000000-4444-4422-2-20000000000-666-6000000000000000000000000000000000000000000000000000000000000

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