Finite Group Databasebeta

← Group #11895971

Character table — Group #11895971

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12223344446666661212121234446661212121212121212121212121212121241212121212121212121212121212121212121244444488881212121224242424242424242446612121212121212122288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1
χ6111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111
χ8111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1-1-1-1111-111111-1-11111-1-1-1-1-1-111-111-1-1-1-1-111-1-11111-1-1-1-11-11-11111-1-111-1-11111-1-1-1-1-11-1-1-1111-111-1-11-11-1
χ10111111-1-111111111-1-1-1-1111-111111-1-11111-1-1-1-1-1-111-111-1-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-11-111-1-1-11-11
χ11111111-1-111111111-1-1-1-1111-111111-1-11111-1-1-1-1-1-111-111-1-1-1-1-111-1-11111-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-1-11-1-111-11-1-111-11-11
χ12111111-1-111111111-1-1-1-1111-111111-1-11111-1-1-1-1-1-111-111-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-111111-1111-1-1-11-1-1111-11-1
χ13111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11111-1-1-1-1-1-111111-11-111-1-11111-1-1-1-1-1-11111-1-11-1-1111-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11111-1-1-1-1-1-111111-11-1-1-111-1-111-1-11111-1-1-1-11-1111-1-11-1-1-111-111-1
χ15111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11111-1-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-11111-11-1-1-111-1111-1-1-111-1
χ16111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11111-1-1-1-1-1-11111-11-11-1-111-1-1-1-1111111-1-1-1-111-111-1-1-1111-1-11-1-11
χ1722222222-2-22222222222200-2222-2-2-2-20000222222-2-200000-200-2-2-2-20000000022-2-20000002222000000000000000-2-200000000
χ1822222222-2-22222222222200-2222-2-2-2-20000222222-2-200000-200-2-2-2-200000000-2-222000000-2-2-2-20000000000000002200000000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-2220000-2-2-2-2-2-2-2-200000200-2-222000000002-2-2200000022-2-2000000000000000-2200000000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-2220000-2-2-2-2-2-2-2-200000200-2-22200000000-222-2000000-2-2220000000000000002-200000000
χ2122222-122222-1-1-122-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100002222220000-1-1-1-1-1-1-1-1200-1-1-1-10000000000
χ2222222-122222-1-1-122-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000011111111-20011110000000000
χ2322222-122222-1-1-122-1-1-1-1-1-2-22-1-1-122-1-1-2-2-2-222-1-1-1-1-1-1-211112-2-2-1-1-1-111111111000022-2-2-2-2000011111111200-1-1-1-10000000000
χ2422222-122222-1-1-122-1-1-1-1-1-2-22-1-1-122-1-1-2-2-2-222-1-1-1-1-1-1-211112-2-2-1-1-1-1111111110000-2-222220000-1-1-1-1-1-1-1-1-20011110000000000
χ2522222-1-2-2222-1-1-1221111-122-2-1-1-122112222-2-21111-1-1-2-1-111-2-2-2-1-111-1-1-1-1111100002222-2-20000-1-1-1-11111-20011-1-10000000000
χ2622222-1-2-2222-1-1-1221111-122-2-1-1-122112222-2-21111-1-1-2-1-111-2-2-2-1-111-1-1-1-111110000-2-2-2-22200001111-1-1-1-1200-1-1110000000000
χ2722222-1-2-2222-1-1-1221111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-1211-1-1-222-1-1111111-1-1-1-1000022-2-22200001111-1-1-1-1-20011-1-10000000000
χ2822222-1-2-2222-1-1-1221111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-1211-1-1-222-1-1111111-1-1-1-10000-2-222-2-20000-1-1-1-11111200-1-1110000000000
χ292222-122222-1222-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1000000000220000-1-1-1-1-1-10000
χ302222-122222-1222-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000001111000000000-2-200001111110000
χ312222-122222-1222-1-12222-1-2-22-1-1-1-1-1221111-1-1-1-1-1-122-2-2-2-2-2-111-1-1-1-1111111112222000000-1-1-1-1000000000-2-20000-1-111110000
χ322222-122222-1222-1-12222-1-2-22-1-1-1-1-1221111-1-1-1-1-1-122-2-2-2-2-2-111-1-1-1-111111111-2-2-2-2000000111100000000022000011-1-1-1-10000
χ332222-1222-2-2-1222-1-12222-100-2-1-1-111-2-2−i3−i3i3i3-1-1-1-1-1-1-2-2000001−i3i31111−i3−i3i3i3−i3−i3i3i322-2-2000000-1-1-1-100000000000000011−i3i3−i3i30000
χ342222-1222-2-2-1222-1-12222-100-2-1-1-111-2-2−i3−i3i3i3-1-1-1-1-1-1-2-2000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2220000001111000000000000000-1-1i3−i3i3−i30000
χ352222-1222-2-2-1222-1-12222-100-2-1-1-111-2-2i3i3−i3−i3-1-1-1-1-1-1-2-2000001i3−i31111i3i3−i3−i3i3i3−i3−i322-2-2000000-1-1-1-100000000000000011i3−i3i3−i30000
χ362222-1222-2-2-1222-1-12222-100-2-1-1-111-2-2i3i3−i3−i3-1-1-1-1-1-1-2-2000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2220000001111000000000000000-1-1−i3i3−i3i30000
χ372222-12-2-222-1222-1-1-2-2-2-2-122-2-1-1-1-1-1-2-2-1-1-1-111111122-222-2-2111-1-111-1-1-1-111112-22-2000000-1-1110000000002-20000-11-1-1110000
χ382222-12-2-222-1222-1-1-2-2-2-2-122-2-1-1-1-1-1-2-2-1-1-1-111111122-222-2-2111-1-111-1-1-1-11111-22-2200000011-1-1000000000-2200001-111-1-10000
χ392222-12-2-222-1222-1-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-21111111111222-2-2221-1-1-1-1111111-1-1-1-12-22-2000000-1-111000000000-220000-1111-1-10000
χ402222-12-2-222-1222-1-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-21111111111222-2-2221-1-1-1-1111111-1-1-1-1-22-2200000011-1-10000000002-200001-1-1-1110000
χ412222-12-2-2-2-2-1222-1-1-2-2-2-2-1002-1-1-11122−i3−i3i3i3111111-2-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-22000000-1-1110000000000000001-1−i3i3i3−i30000
χ422222-12-2-2-2-2-1222-1-1-2-2-2-2-1002-1-1-11122−i3−i3i3i3111111-2-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-222-200000011-1-1000000000000000-11i3−i3−i3i30000
χ432222-12-2-2-2-2-1222-1-1-2-2-2-2-1002-1-1-11122i3i3−i3−i3111111-2-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-22000000-1-1110000000000000001-1i3−i3−i3i30000
χ442222-12-2-2-2-2-1222-1-1-2-2-2-2-1002-1-1-11122i3i3−i3−i3111111-2-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-222-200000011-1-1000000000000000-11−i3i3i3−i30000
χ4522-2-22200-2222-2-2-2-2000022-20-22-22-2002-22-20000002-202-2000002-2002-22-2000000002i−2i2i−2i0000002i2i−2i−2i0000000002i−2i0000000000
χ4622-2-22200-2222-2-2-2-2000022-20-22-22-2002-22-20000002-202-2000002-2002-22-200000000−2i2i−2i2i000000−2i−2i2i2i000000000−2i2i0000000000
χ4722-2-22200-2222-2-2-2-200002-220-22-22-200-22-220000002-20-22000002-200-22-22000000002i−2i−2i2i000000−2i−2i2i2i0000000002i−2i0000000000
χ4822-2-22200-2222-2-2-2-200002-220-22-22-200-22-220000002-20-22000002-200-22-2200000000−2i2i2i−2i0000002i2i−2i−2i000000000−2i2i0000000000
χ4922-2-22-100-222-111-2-233−3−3-12-201-112-23−32-22-20033−3−3-110-113−3000-113−3-11-113−33−300002i−2i2i−2i000000−i−iii−i3−i3i3i3000−i3i3−ii0000000000
χ5022-2-22-100-222-111-2-233−3−3-12-201-112-23−32-22-20033−3−3-110-113−3000-113−3-11-113−33−30000−2i2i−2i2i000000ii−i−ii3i3−i3−i3000i3−i3i−i0000000000
χ5122-2-22-100-222-111-2-233−3−3-1-2201-112-23−3-22-220033−3−3-1101-1−33000-113−31-11-1−33−3300002i−2i−2i2i000000ii−i−ii3i3−i3−i3000−i3i3−ii0000000000
χ5222-2-22-100-222-111-2-233−3−3-1-2201-112-23−3-22-220033−3−3-1101-1−33000-113−31-11-1−33−330000−2i2i2i−2i000000−i−iii−i3−i3i3i3000i3−i3i−i0000000000
χ5322-2-22-100-222-111-2-2−3−333-12-201-112-2−332-22-200−3−333-110-11−33000-11−33-11-11−33−3300002i−2i2i−2i000000−i−iiii3i3−i3−i3000i3−i3−ii0000000000
χ5422-2-22-100-222-111-2-2−3−333-12-201-112-2−332-22-200−3−333-110-11−33000-11−33-11-11−33−330000−2i2i−2i2i000000ii−i−i−i3−i3i3i3000−i3i3i−i0000000000
χ5522-2-22-100-222-111-2-2−3−333-1-2201-112-2−33-22-2200−3−333-1101-13−3000-11−331-11-13−33−300002i−2i−2i2i000000ii−i−i−i3−i3i3i3000i3−i3−ii0000000000
χ5622-2-22-100-222-111-2-2−3−333-1-2201-112-2−33-22-2200−3−333-1101-13−3000-11−331-11-13−33−30000−2i2i2i−2i000000−i−iiii3i3−i3−i3000−i3i3i−i0000000000
χ5744444-244-4-44-2-2-244-2-2-2-2-200-4-2-2-2-4-422000044-2-2-2-22200000-400222200000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-2-2442222-2004-2-2-2-4-4-2-20000-4-42222220000040022-2-200000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-21111-2-24-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-22222-2-21111-2-2-42222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-41112222−2i3−2i32i32i3-2-2111122000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-411122222i32i3−2i3−2i3-2-21111220000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222144-4111-2-222-2-2-2-222-1-1-1-1-2-2-4-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-2-222222222-1-1-1-1-2-2422-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-2−2i3−2i32i32i322-1-1-1-12200000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-22i32i3−2i3−2i322-1-1-1-12200000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-444004-444-4-4-4-400004000-44-4-44000000000000-4400000000-440000000000000000000000000000000000000000000000000
χ6844-4-44-2004-44-222-4-42323−23−23-20002-22-44−23230000002323−23−232-2000000002-2−232300000000000000000000000000000000000000000000000
χ6944-4-44-2004-44-222-4-4−23−232323-20002-22-4423−23000000−23−2323232-2000000002-223−2300000000000000000000000000000000000000000000000
χ7044-4-4-24004-4-24-4-4220000-20002-222-200−2i32i32i3−2i3000000-44000000002-200−2i32i32i3−2i30000000000000000000000000000000000000000000
χ7144-4-4-24004-4-24-4-4220000-20002-222-2002i3−2i3−2i32i3000000-44000000002-2002i3−2i3−2i32i30000000000000000000000000000000000000000000
χ7244-4-4-2400-44-24-4-4220000-24-402-22-2200-22-220000004-404-400000-2200-22-220000000000000000000000000000000000000000000
χ7344-4-4-2400-44-24-4-4220000-2-4402-22-22002-22-20000004-40-4400000-22002-22-20000000000000000000000000000000000000000000
χ7444-4-4-2-2004-4-2-222222323−23−231000-11-12-2−2323−2i32i32i3−2i300−3−3332-200000000-113−3i3−i3−i3i3−3i3i3i−3i000000000000000000000000000000000000000
χ7544-4-4-2-2004-4-2-222222323−23−231000-11-12-2−23232i3−2i3−2i32i300−3−3332-200000000-113−3−i3i3i3−i33i−3i−3i3i000000000000000000000000000000000000000
χ7644-4-4-2-2004-4-2-22222−23−2323231000-11-12-223−23−2i32i32i3−2i30033−3−32-200000000-11−33i3−i3−i3i33i−3i−3i3i000000000000000000000000000000000000000
χ7744-4-4-2-2004-4-2-22222−23−2323231000-11-12-223−232i3−2i3−2i32i30033−3−32-200000000-11−33−i3i3i3−i3−3i3i3i−3i000000000000000000000000000000000000000
χ7844-4-4-2-200-44-2-222222323−23−2314-40-11-1-2223−23-22-2200−3−333-220-2223−230001-1−331-11-1−33−33000000000000000000000000000000000000000
χ7944-4-4-2-200-44-2-222222323−23−231-440-11-1-2223−232-22-200−3−333-2202-2−23230001-1−33-11-113−33−3000000000000000000000000000000000000000
χ8044-4-4-2-200-44-2-22222−23−23232314-40-11-1-22−2323-22-220033−3−3-220-22−23230001-13−31-11-13−33−3000000000000000000000000000000000000000
χ8144-4-4-2-200-44-2-22222−23−2323231-440-11-1-22−23232-22-20033−3−3-2202-223−230001-13−3-11-11−33−33000000000000000000000000000000000000000
χ824-44-4440000-4-44-44-400004000-4-4400000000000000000000000000000000000000000000−2i22i200000000−2i22i2−2i22i200000000000000000
χ834-44-4440000-4-44-44-400004000-4-44000000000000000000000000000000000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000
χ844-44-44-20000-42-224-423−2323−23-200022-2000000000023−2323−23000000000000000000000000000000−2i22i20000i6−i6i6−i6i2−i2i2−i200000000000000000
χ854-44-44-20000-42-224-423−2323−23-200022-2000000000023−2323−230000000000000000000000000000002i2−2i20000−i6i6−i6i6−i2i2−i2i200000000000000000
χ864-44-44-20000-42-224-4−2323−2323-200022-20000000000−2323−2323000000000000000000000000000000−2i22i20000−i6i6−i6i6i2−i2i2−i200000000000000000
χ874-44-44-20000-42-224-4−2323−2323-200022-20000000000−2323−23230000000000000000000000000000002i2−2i20000i6−i6i6−i6−i2i2−i2i200000000000000000
χ884-4-44444-400-4-4-44-444-4-4440004-4-4000000004-44-4-440000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-4400-4-4-44-44-444-440004-4-400000000-44-444-40000000000000000000000000000000000000000000000000000000000000
χ904-4-444-24-400-422-2-44-222-2-2000-222000000004-4-222-20000000000000000000000000000000000006−6−66−666−600000000000000000
χ914-4-444-24-400-422-2-44-222-2-2000-222000000004-4-222-2000000000000000000000000000000000000−666−66−6−6600000000000000000
χ924-4-444-2-4400-422-2-442-2-22-2000-22200000000-442-2-220000000000000000000000000000000000006−6−666−6−6600000000000000000
χ934-4-444-2-4400-422-2-442-2-22-2000-22200000000-442-2-22000000000000000000000000000000000000−666−6−666−600000000000000000
χ944-4-44-244-4002-4-442-24-4-44-2000-22200000000-22-222-20000000000000000000000000000000023−2323−230000000000000000000000000
χ954-4-44-244-4002-4-442-24-4-44-2000-22200000000-22-222-200000000000000000000000000000000−2323−23230000000000000000000000000
χ964-4-44-24-44002-4-442-2-444-4-2000-222000000002-22-2-220000000000000000000000000000000023−23−23230000000000000000000000000
χ974-4-44-24-44002-4-442-2-444-4-2000-222000000002-22-2-2200000000000000000000000000000000−232323−230000000000000000000000000
χ988-88-8-4800004-88-8-440000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000044-44-4443−4343−432000-2-220000000000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4000044-44-44−4343−43432000-2-22000000000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-800444-44-4-444-420002-2-200000000-442-2-220000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-8800444-44-44-4-4420002-2-2000000004-4-222-20000000000000000000000000000000000000000000000000000000000000

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