Finite Group Databasebeta

← Group #11793995

Character table — Group #11793995

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1244222334446612121212366666666612121212121212121212446612121212121212121212121212121212121224444466881212121212121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1
χ922222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200-1-100-1-1-1-1-1-100000000000000
χ1022222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200110011111100000000000000
χ1122222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2-2-211111111111122-2-200-1-100-1-1111100000000000000
χ1222222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2-2-2111111111111-2-22200110011-1-1-1-100000000000000
χ132222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220022000000-1-1-1-1-1-1-1-1000000
χ142222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-200-2-200000011111111000000
χ152222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-21111111100002200-2-2000000-1-1-1-11111000000
χ162222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111110000-2-200220000001111-1-1-1-1000000
χ1722222-2-2222-2-22222222-2-222222-2-22-22-2-22222-200-2-2-2-2000000000000000000002i−2i00000000002i2i−2i−2i0000000000
χ1822222-2-2222-2-22222222-2-222222-2-22-22-2-22222-200-2-2-2-200000000000000000000−2i2i0000000000−2i−2i2i2i0000000000
χ1922222-2-2-122-2-2-12-1-122-11-2-12-1-1-11-2-112-2-2-1-1-1-11001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300002i−2i0000000000−i−iii33−3−3000000
χ2022222-2-2-122-2-2-12-1-122-11-2-12-1-1-11-2-112-2-2-1-1-1-11001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−2i2i0000000000ii−i−i−3−333000000
χ2122222-2-2-122-2-2-12-1-122-11-2-12-1-1-11-2-112-2-2-1-1-1-11001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002i−2i0000000000−i−iii−3−333000000
χ2222222-2-2-122-2-2-12-1-122-11-2-12-1-1-11-2-112-2-2-1-1-1-11001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000−2i2i0000000000ii−i−i33−3−3000000
χ232222-22-222-22-22222222-22-2-22-2-22-2-22-22-222-2-2-22i−2i2-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ242222-22-222-22-22222222-22-2-22-2-22-2-22-22-222-2-2-2−2i2i2-22-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ252222-22-22-1-22-22-122-1-1-1-2-1-21-11121-221-11-1-111-22i−2i-11-112i−2i2i−2i−i−iii−i−iii−i−iii000000−i3i300−i3i333−3−300000000000000
χ262222-22-22-1-22-22-122-1-1-1-2-1-21-11121-221-11-1-111-22i−2i-11-112i−2i2i−2i−i−iii−i−iii−i−iii000000i3−i300i3−i3−3−33300000000000000
χ272222-22-22-1-22-22-122-1-1-1-2-1-21-11121-221-11-1-111-2−2i2i-11-11−2i2i−2i2iii−i−iii−i−iii−i−i000000−i3i300−i3i3−3−33300000000000000
χ282222-22-22-1-22-22-122-1-1-1-2-1-21-11121-221-11-1-111-2−2i2i-11-11−2i2i−2i2iii−i−iii−i−iii−i−i000000i3−i300i3−i333−3−300000000000000
χ292222-22-2-12-22-2-12-1-122-1121-2-111-1-21-1-22-2-1-11112i−2i-11-11−ii−ii2i2i−2i−2i−i−iii−i−iii0000000000000000−i3i3−i3i33−33−3000000
χ302222-22-2-12-22-2-12-1-122-1121-2-111-1-21-1-22-2-1-11112i−2i-11-11−ii−ii2i2i−2i−2i−i−iii−i−iii0000000000000000i3−i3i3−i3−33−33000000
χ312222-22-2-12-22-2-12-1-122-1121-2-111-1-21-1-22-2-1-1111−2i2i-11-11i−ii−i−2i−2i2i2iii−i−iii−i−i0000000000000000−i3i3−i3i3−33−33000000
χ322222-22-2-12-22-2-12-1-122-1121-2-111-1-21-1-22-2-1-1111−2i2i-11-11i−ii−i−2i−2i2i2iii−i−iii−i−i0000000000000000i3−i3i3−i33−33−3000000
χ332222-2-2222-2-2222222222-2-2-22-2-2-22-2-2-2-2222-2-2200-22-220000000000000000000000002-200000000002-2-22000000
χ342222-2-2222-2-2222222222-2-2-22-2-2-22-2-2-2-2222-2-2200-22-22000000000000000000000000-220000000000-222-2000000
χ352222-2-22-12-2-22-12-1-122-1-1-21-2-1111211-2-22-1-111-1001-11-13−3−33000033−3−3−3−333000000002-2000000−333−3-111-1000000
χ362222-2-22-12-2-22-12-1-122-1-1-21-2-1111211-2-22-1-111-1001-11-13−3−33000033−3−3−3−33300000000-220000003−3−331-1-11000000
χ372222-2-22-12-2-22-12-1-122-1-1-21-2-1111211-2-22-1-111-1001-11-1−333−30000−3−33333−3−3000000002-20000003−3−33-111-1000000
χ382222-2-22-12-2-22-12-1-122-1-1-21-2-1111211-2-22-1-111-1001-11-1−333−30000−3−33333−3−300000000-22000000−333−31-1-11000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000002-2000000002-22-200000000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000-2200000000-22-2200000000000000
χ4122-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002-200−i3i300i3−i3-11-1100000000000000
χ4222-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300-2200i3−i300−i3i31-11-100000000000000
χ4322-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002-200i3−i300−i3i3-11-1100000000000000
χ4422-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300-2200−i3i300i3−i31-11-100000000000000
χ4522-2-22-2-222-22222-2-2-2-22-2-222222-2-2-22-222-2-2-2-2200-2-222000000000000000000000000000000000000000000002-2
χ4622-2-22-2-222-22222-2-2-2-22-2-222222-2-2-22-222-2-2-2-2200-2-22200000000000000000000000000000000000000000000-22
χ4722-2-2-22-2222-2222-2-2-2-22-22-2-22-2-22-22-22-22-2-2222002-2-2200000000000000002-200002200-2-2000000000000000000
χ4822-2-2-22-2222-2222-2-2-2-22-22-2-22-2-22-22-22-22-2-2222002-2-220000000000000000-220000-2-20022000000000000000000
χ4922-2-2-22-22-12-222-1-2-211-1-2-1-21-111212-2-11-111-1-1200-111-100003−3−333−3−333−3−332-20000-1-100113−3−3300000000000000
χ5022-2-2-22-22-12-222-1-2-211-1-2-1-21-111212-2-11-111-1-1200-111-100003−3−333−3−333−3−33-2200001100-1-1−333−300000000000000
χ5122-2-2-22-22-12-222-1-2-211-1-2-1-21-111212-2-11-111-1-1200-111-10000−333−3−333−3−333−32-20000-1-10011−333−300000000000000
χ5222-2-2-22-22-12-222-1-2-211-1-2-1-21-111212-2-11-111-1-1200-111-10000−333−3−333−3−333−3-2200001100-1-13−3−3300000000000000
χ5322-2-2-2-222222-222-2-2-2-222-2-2-22-2-2-222222-2-2-222-200-222-200000000000000000000000000000000000000002i2i−2i−2i00
χ5422-2-2-2-222222-222-2-2-2-222-2-2-22-2-2-222222-2-2-222-200-222-20000000000000000000000000000000000000000−2i−2i2i2i00
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-24-4-44-244-2-2-2-424-2-2-2-2-424-4-222-2-2-2-2-40022220000000000000000000000000000000000000000000000
χ5844444-4-4-2-24-4-4-2-2-2-2-2-2122-2-211122-22-2221111200-1-1-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-2-2-2-2-2122-2-211122-22-2221111200-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-44-4-2-2-44-4-2-2-2-2-2-212-2221-1-1-222-22-2211-1-124i−4i1-11-1−2i2i−2i2i−2i−2i2i2iii−i−iii−i−i000000000000000000000000000000
χ614444-44-4-2-2-44-4-2-2-2-2-2-212-2221-1-1-222-22-2211-1-12−4i4i1-11-12i−2i2i−2i2i2i−2i−2i−i−iii−i−iii000000000000000000000000000000
χ624444-4-444-2-4-444-244-2-2-242-42-222-4-2-4-422-2-2-2224002-22-20000000000000000000000000000000000000000000000
χ634444-4-44-2-2-4-44-2-2-2-2-2-21-22221-1-12-22222-211-1-1-200-11-1123−23−23230000−3−33333−3−3000000000000000000000000000000
χ644444-4-44-2-2-4-44-2-2-2-2-2-21-22221-1-12-22222-211-1-1-200-11-11−232323−23000033−3−3−3−333000000000000000000000000000000
χ6544-4-4444-24-4-4-4-2422-4-4-2-24-24-2-2-2-2422-4-4-42222200-2-2220000000000000000000000000000000000000000000000
χ6644-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-120011-1-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-120011-1-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ6844-4-44-4-44-2-4444-2-4-422-2-424-2-2-2-2-42-442-2-2222240022-2-20000000000000000000000000000000000000000000000
χ6944-4-44-4-4-24-444-2422-4-4-22-4-24-2-2-22-42-2-4442222-20022-2-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-2-444-2-22222122-2-2111222-22-2-2-1-1-1-1-200-1-111000000003-33-3-33-33000000000000000000000000000000
χ7144-4-44-4-4-2-2-444-2-22222122-2-2111222-22-2-2-1-1-1-1-200-1-11100000000-33-333-33-3000000000000000000000000000000
χ7244-4-4-44-4-244-44-2422-4-4-2242-4-222-2-4-224-4422-2-2-200-222-20000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-24-44-2-2222212-2221-1-1-22-22-22-2-1-111-2001-1-11000023−23−2323−333−3−333−3000000000000000000000000000000
χ7444-4-4-44-4-2-24-44-2-2222212-2221-1-1-22-22-22-2-1-111-2001-1-110000−232323−233−3−333−3−33000000000000000000000000000000
χ7544-4-4-4-444-244-44-2-4-422-242-42-222-4-244-2-2222-2-2-4002-2-220000000000000000000000000000000000000000000000
χ7644-4-4-4-44-2444-4-2422-4-4-2-2-42-4-22224-2-244-422-2-22002-2-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-244-4-2-222221-22221-1-12-2-2-2-2-22-1-111200-111-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ7844-4-4-4-44-2-244-4-2-222221-22221-1-12-2-2-2-2-22-1-111200-111-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i40000-40000000004i−4i00000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300
χ804-44i−4i00044000-4-44i−4i4i−4i40000-40000000004i−4i0000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300
χ814-4−4i4i00044000-4-4−4i4i−4i4i40000-4000000000−4i4i0000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300
χ824-4−4i4i00044000-4-4−4i4i−4i4i40000-4000000000−4i4i00000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300
χ838-88i−8i0008-4000-848i−8i−4i4i-400004000000000−4i4i0000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-400004000000000−4i4i0000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i20000-26-600000002i−2i6i−6i00000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i20000-2-6600000002i−2i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-4000040000000004i−4i0000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-4000040000000004i−4i0000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i20000-26-60000000−2i2i−6i6i00000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i20000-2-660000000−2i2i6i−6i00000000000000000000000000000000000000000000000000000

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