Finite Group Databasebeta

← Group #11895761

Character table — Group #11895761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order122233444466666612121212344466612121212121212121212121226666666612121212121212121212121212228888242424242424242444466881212242424244444121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1
χ6111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-1-111111111-1-11111-1-1-1-1-11-1111-1-1-111-1-11-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-1-111111111-1-11111-1-1-1-1-1-1111-11-1-1-1-111-11-11-11-11
χ11111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-11-11111-1-1-11-111-1-11
χ12111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-111-1-1-1-111111-11-1-1-1111-1-1111-11-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-11-111-11-1-1-1-1111-11-11-1-11
χ14111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-111-1-1-11-11-111-1
χ15111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111-1-111-11-111-11-1
χ16111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-11-11111-1-11-11-1-11-11
χ1722222222-2-22222222222200-2222-2-2-2222222-2-2-20000000000000-2-2-2-2-2000000000000000000000000000000022-2-20000
χ1822222222-2-22222222222200-2222-2-2-2222222-2-2-20000000000000-2-2-2-2-20000000000000000000000000000000-2-2220000
χ19222222-2-2-2-2222222-2-2-2-22002222-222-2-2-2-2-2-2-2-2-200000000000002-2-22200000000000000000000000000000002-2-220000
χ20222222-2-2-2-2222222-2-2-2-22002222-222-2-2-2-2-2-2-2-2-200000000000002-2-2220000000000000000000000000000000-222-20000
χ2122222-122222-1-12-12-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-1000000000000
χ2222222-122222-1-12-12-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-200110011000000000000
χ2322222-122222-1-12-12-1-1-1-1-1-2-22-1-1-12-1-122-1-1-1-1-1-12-2-2-2111111-2-2112-1-1-1-1111122-2-2-2-211111111200-1-100-1-1000000000000
χ2422222-122222-1-12-12-1-1-1-1-1-2-22-1-1-12-1-122-1-1-1-1-1-12-2-2-2111111-2-2112-1-1-1-11111-2-22222-1-1-1-1-1-1-1-1-200110011000000000000
χ2522222-1-2-2222-1-12-121111-122-2-1-1-1211-2-21111-1-12-2-2-211111122-1-1-2-1-111-1-1-1-12222-2-2-1-1-1-11111-200-1-10011000000000000
χ2622222-1-2-2222-1-12-121111-122-2-1-1-1211-2-21111-1-12-2-2-211111122-1-1-2-1-111-1-1-1-1-2-2-2-2221111-1-1-1-12001100-1-1000000000000
χ2722222-1-2-2222-1-12-121111-1-2-2-2-1-1-1211-2-21111-1-12222-1-1-1-1-1-1-2-211-2-1-111111122-2-2221111-1-1-1-1-200-1-10011000000000000
χ2822222-1-2-2222-1-12-121111-1-2-2-2-1-1-1211-2-21111-1-12222-1-1-1-1-1-1-2-211-2-1-1111111-2-222-2-2-1-1-1-111112001100-1-1000000000000
χ292222-122222-122-12-12222-1222-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-100000000000000022002200-1-1-1-10000-1-100
χ302222-122222-122-12-12222-1222-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1000000000000000-2-200-2-200111100001100
χ312222-122222-122-12-12222-1-2-22-1-1-1-122-1-1-1-1-1-122-1-211-2-2111111-2-2-1-1-1-1-111110000000000000002200-2-20011110000-1-100
χ322222-122222-122-12-12222-1-2-22-1-1-1-122-1-1-1-1-1-122-1-211-2-2111111-2-2-1-1-1-1-11111000000000000000-2-2002200-1-1-1-100001100
χ332222-12-2-222-122-12-1-2-2-2-2-122-2-1-1-1-1-2-211111122-1-211-2-21111-1-1221-1-111-1-1-1-10000000000000002-2002-200-1-1110000-1100
χ342222-12-2-222-122-12-1-2-2-2-2-122-2-1-1-1-1-2-211111122-1-211-2-21111-1-1221-1-111-1-1-1-1000000000000000-2200-220011-1-100001-100
χ352222-12-2-222-122-12-1-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-12-1-122-1-1-1-111-2-21-1-11111110000000000000002-200-220011-1-10000-1100
χ362222-12-2-222-122-12-1-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-12-1-122-1-1-1-111-2-21-1-1111111000000000000000-22002-200-1-11100001-100
χ3722-2-22200-2222-2-2-2-2000022i−2i02-2-2-2000000002-220000000002i−2i2i−2i02-2002i2i−2i−2i2-22i−2i002i2i−2i−2i00000002-20000000000000000
χ3822-2-22200-2222-2-2-2-2000022i−2i02-2-2-2000000002-220000000002i−2i2i−2i02-2002i2i−2i−2i-22−2i2i00−2i−2i2i2i0000000-220000000000000000
χ3922-2-22200-2222-2-2-2-200002−2i2i02-2-2-2000000002-22000000000−2i2i−2i2i02-200−2i−2i2i2i2-2−2i2i00−2i−2i2i2i00000002-20000000000000000
χ4022-2-22200-2222-2-2-2-200002−2i2i02-2-2-2000000002-22000000000−2i2i−2i2i02-200−2i−2i2i2i-222i−2i002i2i−2i−2i0000000-220000000000000000
χ4122-2-22-100-222-11-21-233−3−3-12i−2i0-111-23−30033−3−3-112000−i3i3−i3−i3i3i32i−2i−ii0-113−3−i−iii2-22i−2i00−i−iii−i3−i3i3i3000-11003−3000000000000
χ4222-2-22-100-222-11-21-233−3−3-12i−2i0-111-23−30033−3−3-112000−i3i3−i3−i3i3i32i−2i−ii0-113−3−i−iii-22−2i2i00ii−i−ii3i3−i3−i30001-100−33000000000000
χ4322-2-22-100-222-11-21-233−3−3-1−2i2i0-111-23−30033−3−3-112000i3−i3i3i3−i3−i3−2i2ii−i0-113−3ii−i−i2-2−2i2i00ii−i−ii3i3−i3−i3000-11003−3000000000000
χ4422-2-22-100-222-11-21-233−3−3-1−2i2i0-111-23−30033−3−3-112000i3−i3i3i3−i3−i3−2i2ii−i0-113−3ii−i−i-222i−2i00−i−iii−i3−i3i3i30001-100−33000000000000
χ4522-2-22-100-222-11-21-2−3−333-12i−2i0-111-2−3300−3−333-112000i3−i3i3i3−i3−i32i−2i−ii0-11−33−i−iii2-22i−2i00−i−iiii3i3−i3−i3000-1100−33000000000000
χ4622-2-22-100-222-11-21-2−3−333-12i−2i0-111-2−3300−3−333-112000i3−i3i3i3−i3−i32i−2i−ii0-11−33−i−iii-22−2i2i00ii−i−i−i3−i3i3i30001-1003−3000000000000
χ4722-2-22-100-222-11-21-2−3−333-1−2i2i0-111-2−3300−3−333-112000−i3i3−i3−i3i3i3−2i2ii−i0-11−33ii−i−i2-2−2i2i00ii−i−i−i3−i3i3i3000-1100−33000000000000
χ4822-2-22-100-222-11-21-2−3−333-1−2i2i0-111-2−3300−3−333-112000−i3i3−i3−i3i3i3−2i2ii−i0-11−33ii−i−i-222i−2i00−i−iiii3i3−i3−i30001-1003−3000000000000
χ4944444-244-4-44-2-24-24-2-2-2-2-200-4-2-2-2-42244-2-2-2-222-40000000000000-42222000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-2-24-242222-2004-2-2-2-4-2-2-4-4222222-40000000000000422-2-2000000000000000000000000000000000000000
χ514444-2444-4-4-244-24-24444-200-4-2-2-22-4-4-2-2-2-2-2-2-4-42000000000000022222000000000000000000000000000000000000000
χ524444-24-4-4-4-4-244-24-2-4-4-4-4-2004-2-2-2244222222-4-420000000000000-222-2-2000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-2-42222-1-1-1-12222-21111-1-1-1-100000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111222-2-21111222000003-33-300002-1-1-1-13-33-300000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111222-2-2111122200000-33-3300002-1-1-1-1-33-3300000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-22222144-4111-22222-1-1-1-1-2-2-2-42222-1-1-1-1-2-2-2-2211-1-1111100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-22222-1-1-1-1-2-2-24-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2222210041112-2-222-1-1-1-1222000003-33-30000-2-1-111-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2222210041112-2-222-1-1-1-122200000-33-330000-2-1-1113-33-300000000000000000000000000000000000
χ6144-4-444004-444-4-4-4-4000040004-4-4400000000-44-400000000000000-4400000000000000000000000000000000000000000
χ6244-4-44-2004-44-22-42-42323−23−23-2000-2224−2323002323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000000
χ6344-4-44-2004-44-22-42-4−23−232323-2000-222423−2300−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000000
χ6444-4-4-24004-4-24-42-420000-2000-222-200000000-4420−2i32i300−2i32i32i3−2i3000002-200000000000000000000000000000000000000000
χ6544-4-4-24004-4-24-42-420000-2000-222-200000000-44202i3−2i3002i3−2i3−2i32i3000002-200000000000000000000000000000000000000000
χ6644-4-4-2400-44-24-42-420000-24i−4i0-2222000000004-4-2000000000−2i2i4i−4i0-2200−2i−2i2i2i00000000000000000000000000000000000
χ6744-4-4-2400-44-24-42-420000-2−4i4i0-2222000000004-4-20000000002i−2i−4i4i0-22002i2i−2i−2i00000000000000000000000000000000000
χ6844-4-4-2-2004-4-2-222222323−23−2310001-1-1-2−232300−3−3332-220−2i32i300i3−i3−i3i300000-113−3−3i3i3i−3i00000000000000000000000000000000000
χ6944-4-4-2-2004-4-2-222222323−23−2310001-1-1-2−232300−3−3332-2202i3−2i300−i3i3i3−i300000-113−33i−3i−3i3i00000000000000000000000000000000000
χ7044-4-4-2-2004-4-2-22222−23−23232310001-1-1-223−230033−3−32-220−2i32i300i3−i3−i3i300000-11−333i−3i−3i3i00000000000000000000000000000000000
χ7144-4-4-2-2004-4-2-22222−23−23232310001-1-1-223−230033−3−32-2202i3−2i300−i3i3i3−i300000-11−33−3i3i3i−3i00000000000000000000000000000000000
χ7244-4-4-2-200-44-2-222222323−23−2314i−4i01-1-1223−2300−3−333-22-2000−2i32i3i3i3−i3−i3−2i2i−2i2i01-1−33ii−i−i00000000000000000000000000000000000
χ7344-4-4-2-200-44-2-222222323−23−231−4i4i01-1-1223−2300−3−333-22-20002i3−2i3−i3−i3i3i32i−2i2i−2i01-1−33−i−iii00000000000000000000000000000000000
χ7444-4-4-2-200-44-2-22222−23−23232314i−4i01-1-12−23230033−3−3-22-20002i3−2i3−i3−i3i3i3−2i2i−2i2i01-13−3ii−i−i00000000000000000000000000000000000
χ7544-4-4-2-200-44-2-22222−23−2323231−4i4i01-1-12−23230033−3−3-22-2000−2i32i3i3i3−i3−i32i−2i2i−2i01-13−3−i−iii00000000000000000000000000000000000
χ764-44-4444-400-4-4-444-44-44-44000-4-440004-44-44-4000000000000000000000000000000000000000000000000000000000000
χ774-44-444-4400-4-4-444-4-44-444000-4-44000-44-44-44000000000000000000000000000000000000000000000000000000000000
χ784-44-44-24-400-4224-2-4-22-22-200022-20004-4-22-220000000000000000000000000000000i6−i6i6−i6i6−i6i6−i6000000000000000000000
χ794-44-44-24-400-4224-2-4-22-22-200022-20004-4-22-220000000000000000000000000000000−i6i6−i6i6−i6i6−i6i6000000000000000000000
χ804-44-44-2-4400-4224-2-42-22-2-200022-2000-442-22-20000000000000000000000000000000i6−i6i6−i6−i6i6−i6i6000000000000000000000
χ814-44-44-2-4400-4224-2-42-22-2-200022-2000-442-22-20000000000000000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000000
χ824-44-4-244-4002-4-4-2424-44-4-200022-2000-22-22-220000000000000000000000000000000000000000000000006−66−600000000
χ834-44-4-244-4002-4-4-2424-44-4-200022-2000-22-22-22000000000000000000000000000000000000000000000000−66−6600000000
χ844-44-4-24-44002-4-4-242-44-44-200022-20002-22-22-20000000000000000000000000000000000000000000000006−6−6600000000
χ854-44-4-24-44002-4-4-242-44-44-200022-20002-22-22-2000000000000000000000000000000000000000000000000−666−600000000
χ864-4-44440000-4-44-4-4400004000-44-40000000000000000000000000000000000000022−22000022−22−2222000000000000000000000
χ874-4-44440000-4-44-4-4400004000-44-400000000000000000000000000000000000000−22220000−222222−22000000000000000000000
χ884-4-444-20000-42-2-42423−23−2323-20002-220000023−23−23230000000000000000000000000000022−226−6−66−222−2000000000000000000000
χ894-4-444-20000-42-2-42423−23−2323-20002-220000023−23−232300000000000000000000000000000−2222−666−62−2−22000000000000000000000
χ904-4-444-20000-42-2-424−232323−23-20002-2200000−232323−230000000000000000000000000000022−22−666−6−222−2000000000000000000000
χ914-4-444-20000-42-2-424−232323−23-20002-2200000−232323−2300000000000000000000000000000−22226−6−662−2−22000000000000000000000
χ928-88-8-4-48-800444-4-44-44-442000-2-22000-442-22-2000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4-8800444-4-444-44-42000-2-220004-4-22-22000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800004-884-8-40000-40004-44000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000044-444-443−43−43432000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000044-444-4−434343−432000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000

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