Finite Group Databasebeta

← Group #11793991

Character table — Group #11793991

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12442223344466661212121212123666666661212121212121212126688121224242424242424242424242424242424888824242424242424244444441212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-11
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-11-1
χ922222222-12222-12222-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ1022222222-12222-12222-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ1122222222-12222-12222-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000000022-2-20000-1-1-1-111110000
χ1222222222-12222-12222-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000000000-2-22200001111-1-1-1-10000
χ132222222-12222-12-1-1-1-122-1-1-1-1-12-1-1-122-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ142222222-12222-12-1-1-1-122-1-1-1-1-12-1-1-122-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ152222222-12222-12-1-1-1-122-1-1-1-1-12-1-1-122-1-122-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ162222222-12222-12-1-1-1-122-1-1-1-1-12-1-1-122-1-122-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-211111111220000-1-1-1-1000000000000
χ1722222-2-2222-2-222-2-22222-2-222-2-2-2-222-22-22-222-2-2-22-2002-2000000000000000000000000000000002i−2i000000002i2i−2i−2i0000
χ1822222-2-2222-2-222-2-22222-2-222-2-2-2-222-22-22-222-2-2-22-2002-200000000000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ1922222-2-22-12-2-22-1-2-222-1-1-2-2-12-2111-1-112-2-11-1-1111-1100-11000033−3−33333−3−3−3−300000000000000002i−2i0000−i3−i3i3i3−i−iii0000
χ2022222-2-22-12-2-22-1-2-222-1-1-2-2-12-2111-1-112-2-11-1-1111-1100-11000033−3−33333−3−3−3−30000000000000000−2i2i0000i3i3−i3−i3ii−i−i0000
χ2122222-2-22-12-2-22-1-2-222-1-1-2-2-12-2111-1-112-2-11-1-1111-1100-110000−3−333−3−3−3−3333300000000000000002i−2i0000i3i3−i3−i3−i−iii0000
χ2222222-2-22-12-2-22-1-2-222-1-1-2-2-12-2111-1-112-2-11-1-1111-1100-110000−3−333−3−3−3−333330000000000000000−2i2i0000−i3−i3i3i3ii−i−i0000
χ232222-22-222-22-222-2-22222-2-22-22-2-2-22-22-22-2222-2-2-2-2200-220000000000000000000000000000002i−2i0000002i−2i2i−2i00000000
χ242222-22-222-22-222-2-22222-2-22-22-2-2-22-22-22-2222-2-2-2-2200-22000000000000000000000000000000−2i2i000000−2i2i−2i2i00000000
χ252222-22-22-1-22-22-1-2-222-1-1-2-2-1-22111-11-1-221-1-1-11111-1001-100003−33−333−3−333−3−3000000000000002i−2i000000−ii−ii−i3i3−i3i30000
χ262222-22-22-1-22-22-1-2-222-1-1-2-2-1-22111-11-1-221-1-1-11111-1001-100003−33−333−3−333−3−300000000000000−2i2i000000i−ii−ii3−i3i3−i30000
χ272222-22-22-1-22-22-1-2-222-1-1-2-2-1-22111-11-1-221-1-1-11111-1001-10000−33−33−3−333−3−333000000000000002i−2i000000−ii−iii3−i3i3−i30000
χ282222-22-22-1-22-22-1-2-222-1-1-2-2-1-22111-11-1-221-1-1-11111-1001-10000−33−33−3−333−3−33300000000000000−2i2i000000i−ii−i−i3i3−i3i30000
χ292222-2-2222-2-2222222222222-2-22222-2-2-2-2-2-222222-2-22-2-2-222-2-22-2-2222-2-2-2-2220000000000000000000000000000000000
χ302222-2-2222-2-2222222222222-2-22222-2-2-2-2-2-222222-2-2-22-2-2-2-222-222-2-2-22222-2-20000000000000000000000000000000000
χ312222-2-222-1-2-222-12222-1-122-1-2-2-1-1-1-111-2-211-1-1-1-1-1112-21122-2-2-111-1-1-11111-1-100000000000000000000003−3−33−333−30000
χ322222-2-222-1-2-222-12222-1-122-1-2-2-1-1-1-111-2-211-1-1-1-1-1112-21122-2-2-111-1-1-11111-1-10000000000000000000000−333−33−3−330000
χ332222-2-222-1-2-222-12222-1-122-1-2-2-1-1-1-111-2-211-1-1-1-1-111-2211-2-2221-1-1111-1-1-1-11100000000000000000000003−3−333−3−330000
χ342222-2-222-1-2-222-12222-1-122-1-2-2-1-1-1-111-2-211-1-1-1-1-111-2211-2-2221-1-1111-1-1-1-1110000000000000000000000−333−3−333−30000
χ352222-2-22-12-2-22-12-1-1-1-122-1-1-1112-1-1-1-2-211-2-2-1-12-1-1112-211-1-1112-2-22-1-11111-1-10000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ362222-2-22-12-2-22-12-1-1-1-122-1-1-1112-1-1-1-2-211-2-2-1-12-1-1112-211-1-1112-2-22-1-11111-1-10000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ372222-2-22-12-2-22-12-1-1-1-122-1-1-1112-1-1-1-2-211-2-2-1-12-1-111-221111-1-1-222-211-1-1-1-1110000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ382222-2-22-12-2-22-12-1-1-1-122-1-1-1112-1-1-1-2-211-2-2-1-12-1-111-221111-1-1-222-211-1-1-1-1110000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000002-200002-22-2000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000-220000-22-22000000000000
χ4122-2-2222-12-2-2-2-12-1-111-2-211-1-1-12-1-1-12211-2-211-211-1-100113−33−300003−33−33−33−3000033−3−333−3−32-20000-11-11000000000000
χ4222-2-2222-12-2-2-2-12-1-111-2-211-1-1-12-1-1-12211-2-211-211-1-100113−33−300003−33−33−33−30000−3−333−3−333-2200001-11-1000000000000
χ4322-2-2222-12-2-2-2-12-1-111-2-211-1-1-12-1-1-12211-2-211-211-1-10011−33−330000−33−33−33−33000033−3−333−3−3-2200001-11-1000000000000
χ4422-2-2222-12-2-2-2-12-1-111-2-211-1-1-12-1-1-12211-2-211-211-1-10011−33−330000−33−33−33−330000−3−333−3−3332-20000-11-11000000000000
χ4522-2-22-2-222-22222-2-2-2-2-2-22222-2-2-2-222-2-22-22-2-22222-200-22000000000000000000000000000000000000000000000020-20
χ4622-2-22-2-222-22222-2-2-2-2-2-22222-2-2-2-222-2-22-22-2-22222-200-220000000000000000000000000000000000000000000000-2020
χ4722-2-2-22-2222-2222-2-2-2-2-2-2222-22-2-2-22-222-22-2-2-2222-22002-20000000000000000000000000000000000000000000000020-2
χ4822-2-2-22-2222-2222-2-2-2-2-2-2222-22-2-2-22-222-22-2-2-2222-22002-200000000000000000000000000000000000000000000000-202
χ4922-2-2-2-222222-22222-2-2-2-2-2-22-2-22222-2-22222-2-2-2-2-2-2-2002200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5022-2-2-2-222222-22222-2-2-2-2-2-22-2-22222-2-22222-2-2-2-2-2-2-200220000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5122-2-2-2-22-1222-2-12-1-111-2-211-1112-1-1-1-2-2-1-12211-2111100-1-13−3−3300003−3−33−333−32i2i−2i−2i−i−iiiii−i−i000000−i3i3i3−i3000000000000
χ5222-2-2-2-22-1222-2-12-1-111-2-211-1112-1-1-1-2-2-1-12211-2111100-1-13−3−3300003−3−33−333−3−2i−2i2i2iii−i−i−i−iii000000i3−i3−i3i3000000000000
χ5322-2-2-2-22-1222-2-12-1-111-2-211-1112-1-1-1-2-2-1-12211-2111100-1-1−333−30000−333−33−3−332i2i−2i−2i−i−iiiii−i−i000000i3−i3−i3i3000000000000
χ5422-2-2-2-22-1222-2-12-1-111-2-211-1112-1-1-1-2-2-1-12211-2111100-1-1−333−30000−333−33−3−33−2i−2i2i2iii−i−i−i−iii000000−i3i3i3−i3000000000000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-4-244-4-4-2422-2-24422-2-22-422-24-4-224-4-2-2-422-2200-2200000000000000000000000000000000000000000000000000
χ5844444-4-4-2-24-4-4-2-222-2-2-2-2221-222-1-11-22-22-22112-1-11-1001-100002323−23−23−3−3−3−333330000000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-222-2-2-2-2221-222-1-11-22-22-22112-1-11-1001-10000−23−2323233333−3−3−3−30000000000000000000000000000000000
χ604444-44-4-24-44-4-2422-2-24422-22-2-422-2-442-2-44-2-2-4222-2002-200000000000000000000000000000000000000000000000000
χ614444-44-4-2-2-44-4-2-222-2-2-2-22212-22-1-112-22-22-2112-1-1-1100-11000023−2323−23−3−333−3−3330000000000000000000000000000000000
χ624444-44-4-2-2-44-4-2-222-2-2-2-22212-22-1-112-22-22-2112-1-1-1100-110000−2323−232333−3−333−3−30000000000000000000000000000000000
χ634444-4-44-2-2-4-44-2-2-2-2-2-2-2-2-2-2122-211122222211-211-1-14-4-1-1-2-222-222-211-1-1-1-1110000000000000000000000000000000000
χ644444-4-44-2-2-4-44-2-2-2-2-2-2-2-2-2-2122-211122222211-211-1-1-44-1-122-2-22-2-22-1-11111-1-10000000000000000000000000000000000
χ6544-4-44444-2-4-4-44-244-4-422-4-4-244-2-2-2-2-2-2-4-42222222-2-2002200000000000000000000000000000000000000000000000000
χ6644-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-22222-1-12-1-11100-1-123−2323−230000−33−33−33−330000000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-22222-1-12-1-11100-1-1−2323−232300003−33−33−33−30000000000000000000000000000000000
χ6844-4-44-4-44-2-4444-2-4-4-4-42244-24-4222-2-22-442-222-2-2-2-22002-200000000000000000000000000000000000000000000000000
χ6944-4-44-4-4-24-444-242222-4-4-2-2-2-22-422-24-42-2-44224-2-2-22002-200000000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-2-444-2-2222222-2-21-222-1-11-222-22-2-1-1-2111-100-11000000003-33-3-33-330000000000000000000000000000000000
χ7144-4-44-4-4-2-2-444-2-2222222-2-21-222-1-11-222-22-2-1-1-2111-100-1100000000-33-333-33-30000000000000000000000000000000000
χ7244-4-4-44-44-24-444-2-4-4-4-42244-2-44222-22-24-4-2222-2-2-22-200-2200000000000000000000000000000000000000000000000000
χ7344-4-4-44-4-244-44-242222-4-4-2-2-22-2-422-2-44-224-4224-2-22-200-2200000000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-24-44-2-2222222-2-212-22-1-112-2-22-22-1-1-211-11001-1000000003-3-333-3-330000000000000000000000000000000000
χ7544-4-4-44-4-2-24-44-2-2222222-2-212-22-1-112-2-22-22-1-1-211-11001-100000000-333-3-333-30000000000000000000000000000000000
χ7644-4-4-4-444-244-44-244-4-422-4-4-2-4-4-2-2-2-22244-2-2222222200-2-200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-244-4-2-2-2-2222222122-211122-2-2-2-2-1-12-1-1-1-1001123−23−23230000−333−33−3−330000000000000000000000000000000000
χ7844-4-4-4-44-2-244-4-2-2-2-2222222122-211122-2-2-2-2-1-12-1-1-1-10011−232323−2300003−3−33−333−30000000000000000000000000000000000
χ794-44i−4i00044000-4-4004i−4i4i−4i00400000-40000004i−4i00000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000
χ804-44i−4i00044000-4-4004i−4i4i−4i00400000-40000004i−4i0000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000
χ814-44i−4i000-240002-4−2i32i3−2i2i4i−4i23−23-2000−2i32i32000000−2i2i023−2300000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ230000000000000000000000
χ824-44i−4i000-240002-4−2i32i3−2i2i4i−4i23−23-2000−2i32i32000000−2i2i023−230000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ230000000000000000000000
χ834-44i−4i000-240002-42i3−2i3−2i2i4i−4i−2323-20002i3−2i32000000−2i2i0−232300000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ70000000000000000000000
χ844-44i−4i000-240002-42i3−2i3−2i2i4i−4i−2323-20002i3−2i32000000−2i2i0−23230000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ70000000000000000000000
χ854-4−4i4i00044000-4-400−4i4i−4i4i00400000-4000000−4i4i0000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000
χ864-4−4i4i00044000-4-400−4i4i−4i4i00400000-4000000−4i4i00000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ874-4−4i4i000-240002-4−2i32i32i−2i−4i4i−2323-2000−2i32i320000002i−2i0−23230000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ50000000000000000000000
χ884-4−4i4i000-240002-4−2i32i32i−2i−4i4i−2323-2000−2i32i320000002i−2i0−232300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ50000000000000000000000
χ894-4−4i4i000-240002-42i3−2i32i−2i−4i4i23−23-20002i3−2i320000002i−2i023−230000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ130000000000000000000000
χ904-4−4i4i000-240002-42i3−2i32i−2i−4i4i23−23-20002i3−2i320000002i−2i023−2300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ130000000000000000000000
χ918-88i−8i0008-4000-84008i−8i−4i4i00-4000004000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i34i3−4i4i−4i4i43−4320002i3−2i3-20000002i−2i0−232300000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-4000444i3−4i3−4i4i−4i4i−43432000−2i32i3-20000002i−2i023−2300000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-4000-8400−8i8i4i−4i00-40000040000004i−4i00000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-400044−4i34i34i−4i4i−4i−434320002i3−2i3-2000000−2i2i023−2300000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i3−4i34i−4i4i−4i43−432000−2i32i3-2000000−2i2i0−232300000000000000000000000000000000000000000000000000000000

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