Finite Group Databasebeta

← Group #11792415

Character table — Group #11792415

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12442223344466661212121212123666666661212121212121212124466121212121212121212121212121212121212224466661212121224446688121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ922222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-1-100-1-1000000000000
χ1022222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200110011000000000000
χ1122222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-1-12-2-2-1-11111-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-200110011000000000000
χ1222222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-1-12-2-2-1-11111-1-1-2-2-2-211111111-2-2-2-2111111112200-1-100-1-1000000000000
χ132222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-122-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022002200-1-1-1-1-1-1-1-10000
χ142222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-122-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200-2-200111111110000
χ152222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-122-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111000000000000002200-2-200-1-1-1-111110000
χ162222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-122-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100000000000000-2-20022001111-1-1-1-10000
χ1722222-2-222-2-222-2-222222-2-2222-2-22-2-2-2-2-22-222-2-22002-200002-20000000000000000000000000000002-200000022-2-20000
χ1822222-2-222-2-222-2-222222-2-2222-2-22-2-2-2-2-22-222-2-22002-200002-2000000000000000000000000000000-22000000-2-2220000
χ1922222-2-2-12-2-22-1-2-22-1-122-2-2-1-12-21-1111112-2-1-111-100-110000-1133−3−33333−3−3−3−30000000000000000002-20033−3−3-1-1110000
χ2022222-2-2-12-2-22-1-2-22-1-122-2-2-1-12-21-1111112-2-1-111-100-110000-1133−3−33333−3−3−3−3000000000000000000-2200−3−33311-1-10000
χ2122222-2-2-12-2-22-1-2-22-1-122-2-2-1-12-21-1111112-2-1-111-100-110000-11−3−333−3−3−3−333330000000000000000002-200−3−333-1-1110000
χ2222222-2-2-12-2-22-1-2-22-1-122-2-2-1-12-21-1111112-2-1-111-100-110000-11−3−333−3−3−3−33333000000000000000000-220033−3−311-1-10000
χ232222-22-2222-2-222222222222-2-2-22222-22-2-2-22222-22-2-2-222-2-2-2-22-22-222-2-222-2-20000000000000000000000000000000000
χ242222-22-2222-2-222222222222-2-2-22222-22-2-2-22222-2-22-2-2-2-222-2-2-22-22-2-222-2-2220000000000000000000000000000000000
χ252222-22-22-12-2-22-1-1-122-1-1-1-1-1-2112-1-1-1-22-211-1-1-1-1-22-211-1-111112-22-2-1-111-1-1110000−i3−i3i3i3−i3−i3i3i30000−i3i300−i3i3000000000000
χ262222-22-22-12-2-22-1-1-122-1-1-1-1-1-2112-1-1-1-22-211-1-1-1-1-22-211-1-111112-22-2-1-111-1-1110000i3i3−i3−i3i3i3−i3−i30000i3−i300i3−i3000000000000
χ272222-22-22-12-2-22-1-1-122-1-1-1-1-1-2112-1-1-1-22-211-1-1-1-1-2-221111-1-111-22-2211-1-111-1-10000−i3−i3i3i3−i3−i3i3i30000i3−i300i3−i3000000000000
χ282222-22-22-12-2-22-1-1-122-1-1-1-1-1-2112-1-1-1-22-211-1-1-1-1-2-221111-1-111-22-2211-1-111-1-10000i3i3−i3−i3i3i3−i3−i30000−i3i300−i3i3000000000000
χ292222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-2-1-1-1-112-21122-2-211-11-11-1-111-1-11100000000000000000000003−33−33−33−30000
χ302222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-2-1-1-1-112-21122-2-211-11-11-1-111-1-1110000000000000000000000−33−33−33−330000
χ312222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-2-1-1-1-11-2211-2-222111-11-111-1-111-1-100000000000000000000003−33−3−33−330000
χ322222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-2-1-1-1-11-2211-2-222111-11-111-1-111-1-10000000000000000000000−33−333−33−30000
χ332222-2-2222-22-22-2-222222-2-22-2-22-22-2-22-22-2222-2-2-200-220000-22000000000000000000000000002-20000002-2-2200000000
χ342222-2-2222-22-22-2-222222-2-22-2-22-22-2-22-22-2222-2-2-200-220000-2200000000000000000000000000-22000000-222-200000000
χ352222-2-22-12-22-2-1-2-22-1-122-2-2-11-221-111-11-1-22-1-1111001-100001-13−3−3333−3−3−3−333000000000000002-2000000-111-1−333−30000
χ362222-2-22-12-22-2-1-2-22-1-122-2-2-11-221-111-11-1-22-1-1111001-100001-13−3−3333−3−3−3−33300000000000000-220000001-1-113−3−330000
χ372222-2-22-12-22-2-1-2-22-1-122-2-2-11-221-111-11-1-22-1-1111001-100001-1−333−3−3−33333−3−3000000000000002-2000000-111-13−3−330000
χ382222-2-22-12-22-2-1-2-22-1-122-2-2-11-221-111-11-1-22-1-1111001-100001-1−333−3−3−33333−3−300000000000000-220000001-1-11−333−30000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-200000000000022-2-22222-2-2-2-20000000000000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-2000000000000-2-222-2-2-2-222220000000000000000000000
χ4122-2-22222-1-2-2-22-1-1-1-2-21111-12-1-12-1-1-12-2-2111111-200-1-1−i3i3−i3i3110000−i3i3−i3i3−i3i3−i3i322-2-2-1-1-1-111110000−i3i300i3−i3000000000000
χ4222-2-22222-1-2-2-22-1-1-1-2-21111-12-1-12-1-1-12-2-2111111-200-1-1−i3i3−i3i3110000−i3i3−i3i3−i3i3−i3i3-2-2221111-1-1-1-10000i3−i300−i3i3000000000000
χ4322-2-22222-1-2-2-22-1-1-1-2-21111-12-1-12-1-1-12-2-2111111-200-1-1i3−i3i3−i3110000i3−i3i3−i3i3−i3i3−i322-2-2-1-1-1-111110000i3−i300−i3i3000000000000
χ4422-2-22222-1-2-2-22-1-1-1-2-21111-12-1-12-1-1-12-2-2111111-200-1-1i3−i3i3−i3110000i3−i3i3−i3i3−i3i3−i3-2-2221111-1-1-1-10000−i3i300i3−i3000000000000
χ4522-2-22-2-22222-22-2-22-2-2-2-222222-2-22-2-2-222-22-2-222-2002-20000-22000000000000000000000000000000000000000000002i−2i
χ4622-2-22-2-22222-22-2-22-2-2-2-222222-2-22-2-2-222-22-2-222-2002-20000-2200000000000000000000000000000000000000000000−2i2i
χ4722-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-2-2222-2-2-2-2200-2-20000220000000000000000000000002-2002200-2-2000000000000
χ4822-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-2-2222-2-2-2-2200-2-2000022000000000000000000000000-2200-2-20022000000000000
χ4922-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-1-1111120011−i3i3i3−i3-1-10000−i3i3i3−i3−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i32-200-1-10011000000000000
χ5022-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-1-1111120011−i3i3i3−i3-1-10000−i3i3i3−i3−i3i3i3−i30000i3i3−i3−i3−i3−i3i3i3-22001100-1-1000000000000
χ5122-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-1-1111120011i3−i3−i3i3-1-10000i3−i3−i3i3i3−i3−i3i30000−i3−i3i3i3i3i3−i3−i3-22001100-1-1000000000000
χ5222-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-1-1111120011i3−i3−i3i3-1-10000i3−i3−i3i3i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i32-200-1-10011000000000000
χ5322-2-2-2-22222-222-2-22-2-2-2-2222-2-22-22-2-222-22-2-2-222200-2200002-20000000000000000000000000000000000000000002-200
χ5422-2-2-2-22222-222-2-22-2-2-2-2222-2-22-22-2-222-22-2-2-222200-2200002-2000000000000000000000000000000000000000000-2200
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-24411-2-2-2-211-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-2-4-4112222112222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-2-4-44422-244-2-222-24-22-4-222-4-4-4-22-2-222400-220000-220000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-222-2-2-2-2-2221-2-2221-1-1222-2211-1-1-2001-100001-12323−23−23−3−3−3−333330000000000000000000000000000000000
χ5944444-4-4-2-2-4-44-222-2-2-2-2-2221-2-2221-1-1222-2211-1-1-2001-100001-1−23−2323233333−3−3−3−30000000000000000000000000000000000
χ604444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-21112-2222111124-4-1-1-2-222-1-1-22-2211-1-111-1-10000000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-21112-222211112-44-1-122-2-2-1-12-22-2-1-111-1-1110000000000000000000000000000000000
χ624444-4-444-2-44-4422-244-2-222-2-42-2-4-2224-442-2-2-222-4002-200002-20000000000000000000000000000000000000000000000
χ634444-4-44-2-2-44-4-222-2-2-2-2-222122-221-1-1-22-22-211-1-1200-110000-1123−23−2323−3−33333−3−30000000000000000000000000000000000
χ644444-4-44-2-2-44-4-222-2-2-2-2-222122-221-1-1-22-22-211-1-1200-110000-11−232323−2333−3−3−3−3330000000000000000000000000000000000
χ6544-4-4444-24-4-4-4-244422-4-4-4-4-2-244-2-2-2-2-222-4-42222200-2-20000220000000000000000000000000000000000000000000000
χ6644-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-22222-1-1-1-120011−2i32i3−2i32i3-1-10000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-22222-1-1-1-1200112i3−2i32i3−2i3-1-10000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ6844-4-44-4-44-244-4422-2-4-422-2-2-24-22-4-222-4442-222-2-2-400-2200002-20000000000000000000000000000000000000000000000
χ6944-4-44-4-4-2444-4-2-4-4422-4-444-2-24-42-2222-2-2-4422-2-2200-2200002-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-222-22222-2-21-2-2221-1-12-2-22-2-1-1112001-10000-1100003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-222-22222-2-21-2-2221-1-12-2-22-2-1-1112001-10000-110000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7244-4-4-44-4-24-444-244422-4-4-4-4-22-4-4-2-2-2-222-2442222-200220000-2-20000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-2-444-2-2-2-22222221222-211122-2-2-2-1-1-1-1-200-1-1−2i32i32i3−2i3110000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-2-2-22222221222-211122-2-2-2-1-1-1-1-200-1-12i3−2i3−2i32i3110000−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ7544-4-4-4-444-24-44422-2-4-422-2-2-2-42-2-4-22244-4-2222-2-24002-20000-220000000000000000000000000000000000000000000000
χ7644-4-4-4-44-244-44-2-4-4422-4-444-22-442-222-2-224-422-2-2-2002-20000-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-222-22222-2-2122-221-1-1-2-22-22-1-111-200-1100001-100003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-222-22222-2-2122-221-1-1-2-22-22-1-111-200-1100001-10000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ794-44i−4i00044000-400-44i−4i4i−4i0040000-400000004i−4i00000000000000000000000002-22i−2i2-22-22i−2i2i−2i0000000000000000000000
χ804-44i−4i00044000-400-44i−4i4i−4i0040000-400000004i−4i0000000000000000000000000-22−2i2i-22-22−2i2i−2i2i0000000000000000000000
χ814-44i−4i0004-2000-4−2i32i324i−4i−2i2i23−23-200002−2i32i300000−2i2i23−23000000000000000000000002-22i−2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ824-44i−4i0004-2000-4−2i32i324i−4i−2i2i23−23-200002−2i32i300000−2i2i23−2300000000000000000000000-22−2i2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ834-44i−4i0004-2000-42i3−2i324i−4i−2i2i−2323-2000022i3−2i300000−2i2i−2323000000000000000000000002-22i−2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ844-44i−4i0004-2000-42i3−2i324i−4i−2i2i−2323-2000022i3−2i300000−2i2i−232300000000000000000000000-22−2i2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ854-4−4i4i00044000-400-4−4i4i−4i4i0040000-40000000−4i4i00000000000000000000000002-2−2i2i2-22-2−2i2i−2i2i0000000000000000000000
χ864-4−4i4i00044000-400-4−4i4i−4i4i0040000-40000000−4i4i0000000000000000000000000-222i−2i-22-222i−2i2i−2i0000000000000000000000
χ874-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−2323-200002−2i32i3000002i−2i−2323000000000000000000000002-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ884-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−2323-200002−2i32i3000002i−2i−232300000000000000000000000-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ894-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−23-2000022i3−2i3000002i−2i23−23000000000000000000000002-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ904-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−23-2000022i3−2i3000002i−2i23−2300000000000000000000000-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ918-88i−8i000-48000400-8−4i4i8i−8i00-4000040000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-40004−4i34i34−4i4i−4i4i43−4320000-22i3−2i3000002i−2i−2323000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-400044i3−4i34−4i4i−4i4i−434320000-2−2i32i3000002i−2i23−23000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-48000400-84i−4i−8i8i00-40000400000004i−4i00000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-40004−4i34i344i−4i4i−4i−434320000-22i3−2i300000−2i2i23−23000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−4320000-2−2i32i300000−2i2i−2323000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.