Finite Group Databasebeta

← Group #11793987

Character table — Group #11793987

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12442223344466121212123666666666121212121212121212122466666666661212121212121212121224444466881212121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1
χ922222222-12222-122-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000-1-122-1-100000000-1-1-1-1000000
χ1022222222-12222-122-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2000011-2-211000000001111000000
χ1122222222-12222-122-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111220000-1-1-2-2-1-1000000001111000000
χ1222222222-12222-122-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111-2-2000011221100000000-1-1-1-1000000
χ132222222-12222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-10000000000
χ142222222-12222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-2000000111111110000000000
χ152222222-12222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110022-2-2000000-1-1-1-111110000000000
χ162222222-12222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100-2-2220000001111-1-1-1-10000000000
χ1722222-2-2222-2-22222222-22-2-2-2-222-22-2-22-222-2-2-20000002-2000000002-2000000000000000000000000000000002i−2i
χ1822222-2-2222-2-22222222-22-2-2-2-222-22-2-22-222-2-2-20000002-2000000002-200000000000000000000000000000000−2i2i
χ192222-22-222-2-222222222-2-22-2-2-22-22-22-2-2-222-2-22000000-2200000000-220000000000002-2000000000022-2-2000000
χ202222-22-222-2-222222222-2-22-2-2-22-22-22-2-2-222-2-22000000-2200000000-22000000000000-220000000000-2-222000000
χ212222-22-22-1-2-222-122-1-1-1-21-1111-1-22-22-211-1-111-10000−i3i31-1−i3−i3i3i300−i3i31-1−i3−i3i3i3000000−i3i32-2−i3i300000000-1-111000000
χ222222-22-22-1-2-222-122-1-1-1-21-1111-1-22-22-211-1-111-10000−i3i31-1−i3−i3i3i300−i3i31-1−i3−i3i3i3000000i3−i3-22i3−i30000000011-1-1000000
χ232222-22-22-1-2-222-122-1-1-1-21-1111-1-22-22-211-1-111-10000i3−i31-1i3i3−i3−i300i3−i31-1i3i3−i3−i3000000−i3i3-22−i3i30000000011-1-1000000
χ242222-22-22-1-2-222-122-1-1-1-21-1111-1-22-22-211-1-111-10000i3−i31-1i3i3−i3−i300i3−i31-1i3i3−i3−i3000000i3−i32-2i3−i300000000-1-111000000
χ252222-2-2222-22-222222222-2-22222-2-2-2-22-222222-2000000-2-200000000-2-20000002i−2i000000002i2i−2i−2i00000000000000
χ262222-2-2222-22-222222222-2-22222-2-2-2-22-222222-2000000-2-200000000-2-2000000−2i2i00000000−2i−2i2i2i00000000000000
χ272222-2-22-12-22-2-12-1-122-1-1-2-22-1-1-11111-1-22-1-1-1-1-200−i3i30011−i3i3−i3i3−i3i30011−i3i3−i3i3002i−2i00000000−i−iii33−3−30000000000
χ282222-2-22-12-22-2-12-1-122-1-1-2-22-1-1-11111-1-22-1-1-1-1-200−i3i30011−i3i3−i3i3−i3i30011−i3i3−i3i300−2i2i00000000ii−i−i−3−3330000000000
χ292222-2-22-12-22-2-12-1-122-1-1-2-22-1-1-11111-1-22-1-1-1-1-200i3−i30011i3−i3i3−i3i3−i30011i3−i3i3−i3002i−2i00000000−i−iii−3−3330000000000
χ302222-2-22-12-22-2-12-1-122-1-1-2-22-1-1-11111-1-22-1-1-1-1-200i3−i30011i3−i3i3−i3i3−i30011i3−i3i3−i300−2i2i00000000ii−i−i33−3−30000000000
χ3122-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000002-200000000002-22-20000000000
χ3222-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000-220000000000-22-220000000000
χ3322-2-2222-12-2-2-2-1211-2-2-1-1222-1-1-1-1-1111-2-21111-200−i3i300-1-1−i3i3−i3i3i3−i30011i3−i3i3−i300002-2000000−i3i3−i3i3-11-110000000000
χ3422-2-2222-12-2-2-2-1211-2-2-1-1222-1-1-1-1-1111-2-21111-200−i3i300-1-1−i3i3−i3i3i3−i30011i3−i3i3−i30000-22000000i3−i3i3−i31-11-10000000000
χ3522-2-2222-12-2-2-2-1211-2-2-1-1222-1-1-1-1-1111-2-21111-200i3−i300-1-1i3−i3i3−i3−i3i30011−i3i3−i3i300002-2000000i3−i3i3−i3-11-110000000000
χ3622-2-2222-12-2-2-2-1211-2-2-1-1222-1-1-1-1-1111-2-21111-200i3−i300-1-1i3−i3i3−i3−i3i30011−i3i3−i3i30000-22000000−i3i3−i3i31-11-10000000000
χ3722-2-22-2-222-22222-2-2-2-22-22-2-2-2-222-2-222-22-2-22220000002-200000000-2200002-200002200-2-2000000000000000000
χ3822-2-22-2-222-22222-2-2-2-22-22-2-2-2-222-2-222-22-2-22220000002-200000000-220000-220000-2-20022000000000000000000
χ3922-2-22-2-22-1-2222-1-2-211-1-2-11111-12-2-2221-111-1-1-10000−i3i3-11−i3−i3i3i300i3−i31-1i3i3−i3−i32-20000-1-1001100000000−i3i3−i3i3000000
χ4022-2-22-2-22-1-2222-1-2-211-1-2-11111-12-2-2221-111-1-1-10000−i3i3-11−i3−i3i3i300i3−i31-1i3i3−i3−i3-2200001100-1-100000000i3−i3i3−i3000000
χ4122-2-22-2-22-1-2222-1-2-211-1-2-11111-12-2-2221-111-1-1-10000i3−i3-11i3i3−i3−i300−i3i31-1−i3−i3i3i32-20000-1-1001100000000i3−i3i3−i3000000
χ4222-2-22-2-22-1-2222-1-2-211-1-2-11111-12-2-2221-111-1-1-10000i3−i3-11i3i3−i3−i300−i3i31-1−i3−i3i3i3-2200001100-1-100000000−i3i3−i3i3000000
χ4322-2-2-22-22222-222-2-2-2-22-2-22-2-2-22-222-2222-2-222-2000000-22000000002-200000000000000000000000000002i2i−2i−2i00
χ4422-2-2-22-22222-222-2-2-2-22-2-22-2-2-22-222-2222-2-222-2000000-22000000002-20000000000000000000000000000−2i−2i2i2i00
χ4522-2-2-2-22222-2222-2-2-2-222-2-22222-2-222-22-2-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-2000000000000000000000000000000
χ4622-2-2-2-22222-2222-2-2-2-222-2-22222-2-222-22-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000
χ4722-2-2-2-222-12-222-1-2-211-1211-1-1-1-1-2-222-2-111111-12-222-1-111-1-1-1-1-2-211-1-11111000000−i3i300i3−i300000000−i3i3i3−i3000000
χ4822-2-2-2-222-12-222-1-2-211-1211-1-1-1-1-2-222-2-111111-12-222-1-111-1-1-1-1-2-211-1-11111000000i3−i300−i3i300000000i3−i3−i3i3000000
χ4922-2-2-2-222-12-222-1-2-211-1211-1-1-1-1-2-222-2-111111-1-22-2-21111111122-1-1-1-1-1-1-1-1000000−i3i300i3−i300000000i3−i3−i3i3000000
χ5022-2-2-2-222-12-222-1-2-211-1211-1-1-1-1-2-222-2-111111-1-22-2-21111111122-1-1-1-1-1-1-1-1000000i3−i300−i3i300000000−i3i3i3−i3000000
χ5122-2-2-2-22-122-22-1211-2-2-1-1-2-22-1-1-111-1-112-2111122-2-1-12211-1-1-1-111-2-2-1-111110000000000003−3−333−3−330000000000
χ5222-2-2-2-22-122-22-1211-2-2-1-1-2-22-1-1-111-1-112-2111122-2-1-12211-1-1-1-111-2-2-1-11111000000000000−333−3−333−30000000000
χ5322-2-2-2-22-122-22-1211-2-2-1-1-2-22-1-1-111-1-112-211112-2211-2-2111111-1-122-1-1-1-1-1-10000000000003−3−33−333−30000000000
χ5422-2-2-2-22-122-22-1211-2-2-1-1-2-22-1-1-111-1-112-211112-2211-2-2111111-1-122-1-1-1-1-1-1000000000000−333−33−3−330000000000
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000
χ5744444-4-44-24-4-44-244-2-2-2-4-22222-24-44-4-4-22-2-2222000000-2200000000-220000000000000000000000000000000000
χ5844444-4-4-244-4-4-24-2-244-224-4-422-2-22-2224-4-2-222-4000000-2200000000-220000000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-2-2-2-2-212-222-1-11-22-222-2211-1-120000001-13-3-3300001-13-3-33000000000000000000000000000000
χ6044444-4-4-2-24-4-4-2-2-2-2-2-212-222-1-11-22-222-2211-1-120000001-1-333-300001-1-333-3000000000000000000000000000000
χ614444-44-4-24-4-44-24-2-244-22-44-422-22-22-22-4-4-2-22240000002-2000000002-20000000000000000000000000000000000
χ624444-44-4-2-2-4-44-2-2-2-2-2-2122-22-1-112-22-222211-1-1-20000−2i32i3-11i3i3−i3−i300−2i32i3-11i3i3−i3−i3000000000000000000000000000000
χ634444-44-4-2-2-4-44-2-2-2-2-2-2122-22-1-112-22-222211-1-1-200002i3−2i3-11−i3−i3i3i3002i3−2i3-11−i3−i3i3i3000000000000000000000000000000
χ644444-4-444-2-44-44-244-2-2-2422-2-2-2-2-4-4-4-442-2-2-2-2-220000002200000000220000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-2-2-2-2-21-222-21112222-22-21111200−2i32i300-1-1i3−i3i3−i3−2i32i300-1-1i3−i3i3−i3000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-2-2-2-2-21-222-21112222-22-211112002i3−2i300-1-1−i3i3−i3i32i3−2i300-1-1−i3i3−i3i3000000000000000000000000000000
χ6744-4-44444-2-4-4-44-2-4-422-24-2-2-2-2-2-244-4-4-42222222000000-2-200000000220000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-1200−2i32i30011i3−i3i3−i32i3−2i300-1-1−i3i3−i3i3000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-12002i3−2i30011−i3i3−i3i3−2i32i300-1-1i3−i3i3−i3000000000000000000000000000000
χ7044-4-44-4-4-24-444-2422-4-4-224-4-422-2-222-2-2-4422-2-24000000-22000000002-20000000000000000000000000000000000
χ7144-4-44-4-4-2-2-444-2-2222212-222-1-11-222-2-22-2-1-111-20000−2i32i31-1i3i3−i3−i3002i3−2i3-11−i3−i3i3i3000000000000000000000000000000
χ7244-4-44-4-4-2-2-444-2-2222212-222-1-11-222-2-22-2-1-111-200002i3−2i31-1−i3−i3i3i300−2i32i3-11i3i3−i3−i3000000000000000000000000000000
χ7344-4-4-44-44-244-44-2-4-422-2-42-2222-2-444-44-2-222-2-220000002-200000000-220000000000000000000000000000000000
χ7444-4-4-44-4-2444-4-2422-4-4-22-44-422-22-2-22-24422-2-2-40000002-200000000-220000000000000000000000000000000000
χ7544-4-4-44-4-2-244-4-2-22222122-22-1-112-2-22-2-2-2-1-1112000000-113-3-3300001-1-333-3000000000000000000000000000000
χ7644-4-4-44-4-2-244-4-2-22222122-22-1-112-2-22-2-2-2-1-1112000000-11-333-300001-13-3-33000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-222221-222-211122-2-22-22-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-222221-222-211122-2-22-22-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i4000000-400000004i−4i00000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300
χ804-44i−4i00044000-4-44i−4i4i−4i4000000-400000004i−4i0000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300
χ814-4−4i4i00044000-4-4−4i4i−4i4i4000000-40000000−4i4i0000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300
χ824-4−4i4i00044000-4-4−4i4i−4i4i4000000-40000000−4i4i00000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300
χ838-88i−8i0008-4000-848i−8i−4i4i-400000040000000−4i4i0000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-400000040000000−4i4i0000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i200006-6-200000002i−2i6i−6i00000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i20000-66-200000002i−2i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-4000000400000004i−4i0000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-4000000400000004i−4i0000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i200006-6-20000000−2i2i−6i6i00000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i20000-66-20000000−2i2i6i−6i00000000000000000000000000000000000000000000000000000

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