Finite Group Databasebeta

← Group #11793109

Character table — Group #11793109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212124444121212121212121224444466121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ922222222-12222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-10000-1-1-1-10000
χ1022222222-12222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111000011110000
χ1122222222-12222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100000000000022-2-200-1-1-1-1000011110000
χ1222222222-12222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111000000000000-2-2220011110000-1-1-1-10000
χ132222222-12222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000-1-1-1-100000000
χ142222222-12222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000111100000000
χ152222222-12222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-2-20000111100000000
χ162222222-12222-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-2-2-211111111-2-2-2-2111111110000220000-1-1-1-100000000
χ1722222-2-222-2-2222-2-222-2-22222-22-22-2-2-22-22-2-222-2-2002-200002-2000000000000000000000000002i−2i00000000002i2i−2i−2i0000
χ1822222-2-222-2-2222-2-222-2-22222-22-22-2-2-22-22-2-222-2-2002-200002-200000000000000000000000000−2i2i0000000000−2i−2i2i2i0000
χ1922222-2-22-1-2-222-1-2-222-2-2-1-1-12-2-11-11112-2-111-1-11100-110000-1133−3−33333−3−3−3−3000000000000002i−2i00−i3i3−i3i30000−i−iii0000
χ2022222-2-22-1-2-222-1-2-222-2-2-1-1-12-2-11-11112-2-111-1-11100-110000-1133−3−33333−3−3−3−300000000000000−2i2i00i3−i3i3−i30000ii−i−i0000
χ2122222-2-22-1-2-222-1-2-222-2-2-1-1-12-2-11-11112-2-111-1-11100-110000-11−3−333−3−3−3−33333000000000000002i−2i00i3−i3i3−i30000−i−iii0000
χ2222222-2-22-1-2-222-1-2-222-2-2-1-1-12-2-11-11112-2-111-1-11100-110000-11−3−333−3−3−3−3333300000000000000−2i2i00−i3i3−i3i30000ii−i−i0000
χ232222-22-2222-2-222-2-222-2-2222-22-2-22-2-22-22-22-222-2-200-220000-22000000000000000000000000000000000000000000002i−2i
χ242222-22-2222-2-222-2-222-2-2222-22-2-22-2-22-22-22-222-2-200-220000-2200000000000000000000000000000000000000000000−2i2i
χ252222-2-2222-22-222222222222-2-2-22222-2-2-2-2-22222200-2-20000-2-200000000000000000000000000002-2000022-2-200000000
χ262222-2-2222-22-222222222222-2-2-22222-2-2-2-2-22222200-2-20000-2-20000000000000000000000000000-220000-2-22200000000
χ272222-2-22-12-22-2-12-1-1-1-1-1-122-111-22-1-1-1-211-2-22-1-1-1-10011−i3−i3i3i3110000−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300002-20000-1-11100000000
χ282222-2-22-12-22-2-12-1-1-1-1-1-122-111-22-1-1-1-211-2-22-1-1-1-10011−i3−i3i3i3110000−i3−i3i3i3−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i30000-22000011-1-100000000
χ292222-2-22-12-22-2-12-1-1-1-1-1-122-111-22-1-1-1-211-2-22-1-1-1-10011i3i3−i3−i3110000i3i3−i3−i3i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000-22000011-1-100000000
χ302222-2-22-12-22-2-12-1-1-1-1-1-122-111-22-1-1-1-211-2-22-1-1-1-10011i3i3−i3−i3110000i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002-20000-1-11100000000
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22-2222-22-2-2-22-22-22-22-22-22-20000000000000000000000000000000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2222-22-22-2-2-22-22-22-22-22-220000000000000000000000000000000000
χ3322-2-22222-1-2-2-22-122-2-2-2-211-122-1-1-1-1-1-1-2-211111112-2-1-12-22-211-11-11-11-11-11-11000000000000000000−i3i3i3−i30000−i3i3−i3i30000
χ3422-2-22222-1-2-2-22-122-2-2-2-211-122-1-1-1-1-1-1-2-211111112-2-1-12-22-211-11-11-11-11-11-11000000000000000000i3−i3−i3i30000i3−i3i3−i30000
χ3522-2-22222-1-2-2-22-122-2-2-2-211-122-1-1-1-1-1-1-2-21111111-22-1-1-22-22111-11-11-11-11-11-1000000000000000000−i3i3i3−i30000i3−i3i3−i30000
χ3622-2-22222-1-2-2-22-122-2-2-2-211-122-1-1-1-1-1-1-2-21111111-22-1-1-22-22111-11-11-11-11-11-1000000000000000000i3−i3−i3i30000−i3i3−i3i30000
χ3722-2-2222-12-2-2-2-12-1-11111-2-2-1-1-122-1-1-1211-2-2-211112-2-1-1-11-11112-22-2-11-11-11-110000−i3−i3i3i3−i3−i3i3i30000000000−i3i3−i3i300000000
χ3822-2-2222-12-2-2-2-12-1-11111-2-2-1-1-122-1-1-1211-2-2-211112-2-1-1-11-11112-22-2-11-11-11-110000i3i3−i3−i3i3i3−i3−i30000000000i3−i3i3−i300000000
χ3922-2-2222-12-2-2-2-12-1-11111-2-2-1-1-122-1-1-1211-2-2-21111-22-1-11-11-111-22-221-11-11-11-10000−i3−i3i3i3−i3−i3i3i30000000000i3−i3i3−i300000000
χ4022-2-2222-12-2-2-2-12-1-11111-2-2-1-1-122-1-1-1211-2-2-21111-22-1-11-11-111-22-221-11-11-11-10000i3i3−i3−i3i3i3−i3−i30000000000−i3i3−i3i300000000
χ4122-2-22-2-22222-222-2-2-2-222-2-222-22-22-2-2-2-22-222-2-222002-20000-220000000000000000000000002-2000022-2-2000000000000
χ4222-2-22-2-22222-222-2-2-2-222-2-222-22-22-2-2-2-22-222-2-222002-20000-22000000000000000000000000-220000-2-222000000000000
χ4322-2-22-2-22-122-22-1-2-2-2-22211-12-2-11-1111-221-1-111-1-100-1100001-13−3−333−33−3−33−330000000000002-20000-1-11100003−3−330000
χ4422-2-22-2-22-122-22-1-2-2-2-22211-12-2-11-1111-221-1-111-1-100-1100001-13−3−333−33−3−33−33000000000000-22000011-1-10000−333−30000
χ4522-2-22-2-22-122-22-1-2-2-2-22211-12-2-11-1111-221-1-111-1-100-1100001-1−333−3−33−333−33−30000000000002-20000-1-1110000−333−30000
χ4622-2-22-2-22-122-22-1-2-2-2-22211-12-2-11-1111-221-1-111-1-100-1100001-1−333−3−33−333−33−3000000000000-22000011-1-100003−3−330000
χ4722-2-2-22-222-22222-2-2-2-222-2-22-22-2-22-2-222-22-22-2-22200-2200002-20000000000000000000000000000000000000000002i−2i00
χ4822-2-2-22-222-22222-2-2-2-222-2-22-22-2-22-2-222-22-22-2-22200-2200002-2000000000000000000000000000000000000000000−2i2i00
χ4922-2-2-2-22222-222222-2-2-2-2-2-22-2-2-22222-22222-2-2-2-2-200-2-200002200000000000022-2-222-2-2-2-2220000000000000000000000
χ5022-2-2-2-22222-222222-2-2-2-2-2-22-2-2-22222-22222-2-2-2-2-200-2-2000022000000000000-2-222-2-22222-2-20000000000000000000000
χ5122-2-2-2-22-122-22-12-1-11111-2-2-111-22-1-1-1-2-1-122-211110011−i3i3i3−i3-1-10000−i3i3i3−i3−i3i3i3−i322-2-2-1-11111-1-10000000000−i3i3i3−i300000000
χ5222-2-2-2-22-122-22-12-1-11111-2-2-111-22-1-1-1-2-1-122-211110011−i3i3i3−i3-1-10000−i3i3i3−i3−i3i3i3−i3-2-22211-1-1-1-1110000000000i3−i3−i3i300000000
χ5322-2-2-2-22-122-22-12-1-11111-2-2-111-22-1-1-1-2-1-122-211110011i3−i3−i3i3-1-10000i3−i3−i3i3i3−i3−i3i322-2-2-1-11111-1-10000000000i3−i3−i3i300000000
χ5422-2-2-2-22-122-22-12-1-11111-2-2-111-22-1-1-1-2-1-122-211110011i3−i3−i3i3-1-10000i3−i3−i3i3i3−i3−i3i3-2-22211-1-1-1-1110000000000−i3i3i3−i300000000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211114411-2-2-2-211-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-4-4112222112222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-4-24-4-44-2422-2-22244-2-224-4-222-4-224-4-4-2-22200-220000-220000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-222-2-222-2-21-22-221-1-12-22-22211-1-1001-100001-12323−23−23−3−3−3−333330000000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-222-2-222-2-21-22-221-1-12-22-22211-1-1001-100001-1−23−2323233333−3−3−3−30000000000000000000000000000000000
χ604444-44-44-24-4-44-2-4-444-4-4-2-2-2-4422-222-2-442-22-2-222002-200002-20000000000000000000000000000000000000000000000
χ614444-44-4-244-4-4-2422-2-22244-22-2-4-4-22242-2-44-4-2-222002-200002-20000000000000000000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-222-2-222-2-212-2221-1-1-22-22-2211-1-100-110000-1100003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ634444-44-4-2-24-4-4-2-222-2-222-2-212-2221-1-1-22-22-2211-1-100-110000-110000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ644444-4-444-2-44-44-2444444-2-2-2-4-42-2-2-2-22-4-422-2-2-2-2-200220000220000000000000000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-2-2-2-2-2-2-2-2-21222-211122222-2111100-1-1−2i3−2i32i32i3-1-10000i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-2-2-2-2-2-2-2-2-21222-211122222-2111100-1-12i32i3−2i3−2i3-1-10000−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-222222-1-1-1-14-411-22-22-1-1-22-221-11-11-11-10000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-222222-1-1-1-1-44112-22-2-1-12-22-2-11-11-11-110000000000000000000000000000000000
χ6944-4-44-4-4-2444-4-242222-2-2-4-4-2-224-4-222-42-2-44422-2-200-2200002-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-22222-2-2221-22-221-1-122-22-2-2-1-111001-10000-1123−23−2323−33−333−33−30000000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-22222-2-2221-22-221-1-122-22-2-2-1-111001-10000-11−232323−233−33−3−33−330000000000000000000000000000000000
χ7244-4-4-44-44-2-4444-2-4-4-4-44422-2-4422-222-24-4-22-222-2-2002-20000-220000000000000000000000000000000000000000000000
χ7344-4-4-44-4-24-444-242222-2-2-4-4-22-2-4-4-2224-224-4422-2-2002-20000-220000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-22222-2-22212-2221-1-1-2-22-22-2-1-11100-1100001-100003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-2-22222-2-22212-2221-1-1-2-22-22-2-1-11100-1100001-10000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ7644-4-4-4-444-24-444-244-4-4-4-422-2-4-42-2-2-2-2244-2-22222200220000-2-20000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-2-2-22222221222-21112-2-2-2-22-1-1-1-100-1-1−2i32i32i3−2i3110000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-2-2-22222221222-21112-2-2-2-22-1-1-1-100-1-12i3−2i3−2i32i3110000−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ794-44i−4i00044000-4-4004i−4i004i−4i40000-4000000004i−4i0000000000000000000000002-22i−2i2-22i−2i2i−2i2-20000000000000000000000
χ804-44i−4i00044000-4-4004i−4i004i−4i40000-4000000004i−4i000000000000000000000000-22−2i2i-22−2i2i−2i2i-220000000000000000000000
χ814-44i−4i000-240002-4−2i32i3−2i2i23−234i−4i-200002−2i32i3000000−2i2i23−2300000000000000000000002-22i−2i−1−i31+i32ζ11−2ζ112ζ7−2ζ7−1+i31−i30000000000000000000000
χ824-44i−4i000-240002-4−2i32i3−2i2i23−234i−4i-200002−2i32i3000000−2i2i23−230000000000000000000000-22−2i2i1+i3−1−i3−2ζ112ζ11−2ζ72ζ71−i3−1+i30000000000000000000000
χ834-44i−4i000-240002-42i3−2i3−2i2i−23234i−4i-2000022i3−2i3000000−2i2i−232300000000000000000000002-22i−2i−1+i31−i32ζ7−2ζ72ζ11−2ζ11−1−i31+i30000000000000000000000
χ844-44i−4i000-240002-42i3−2i3−2i2i−23234i−4i-2000022i3−2i3000000−2i2i−23230000000000000000000000-22−2i2i1−i3−1+i3−2ζ72ζ7−2ζ112ζ111+i3−1−i30000000000000000000000
χ854-4−4i4i00044000-4-400−4i4i00−4i4i40000-400000000−4i4i0000000000000000000000002-2−2i2i2-2−2i2i−2i2i2-20000000000000000000000
χ864-4−4i4i00044000-4-400−4i4i00−4i4i40000-400000000−4i4i000000000000000000000000-222i−2i-222i−2i2i−2i-220000000000000000000000
χ874-4−4i4i000-240002-4−2i32i32i−2i−2323−4i4i-200002−2i32i30000002i−2i−232300000000000000000000002-2−2i2i−1−i31+i3−2ζ112ζ11−2ζ72ζ7−1+i31−i30000000000000000000000
χ884-4−4i4i000-240002-4−2i32i32i−2i−2323−4i4i-200002−2i32i30000002i−2i−23230000000000000000000000-222i−2i1+i3−1−i32ζ11−2ζ112ζ7−2ζ71−i3−1+i30000000000000000000000
χ894-4−4i4i000-240002-42i3−2i32i−2i23−23−4i4i-2000022i3−2i30000002i−2i23−2300000000000000000000002-2−2i2i−1+i31−i3−2ζ72ζ7−2ζ112ζ11−1−i31+i30000000000000000000000
χ904-4−4i4i000-240002-42i3−2i32i−2i23−23−4i4i-2000022i3−2i30000002i−2i23−230000000000000000000000-222i−2i1−i3−1+i32ζ7−2ζ72ζ11−2ζ111+i3−1−i30000000000000000000000
χ918-88i−8i0008-4000-84008i−8i00−4i4i-40000400000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i34i3−4i4i43−43−4i4i20000-22i3−2i30000002i−2i−232300000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-4000444i3−4i3−4i4i−4343−4i4i20000-2−2i32i30000002i−2i23−2300000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-4000-8400−8i8i004i−4i-400004000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-400044−4i34i34i−4i−43434i−4i20000-22i3−2i3000000−2i2i23−2300000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i3−4i34i−4i43−434i−4i20000-2−2i32i3000000−2i2i−232300000000000000000000000000000000000000000000000000000000

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