Finite Group Databasebeta

← Group #11793118

Character table — Group #11793118

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212124444121212121212121224446688121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111
χ922222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-100-1-1-1-1-1-100000000
χ1022222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2110011111100000000
χ1122222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100000000000022-2-2-1-100-1-1111100000000
χ1222222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111000000000000-2-222110011-1-1-1-100000000
χ132222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ142222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000-2-200000011110000
χ152222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1000000-2-200000011110000
χ162222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-2-2-211111111-2-2-2-21111111100000022000000-1-1-1-10000
χ1722222-2-222-2-222-2-22-2-22222222-22-2-2-2-22-22-2-222-2-22i−2i2-22i2i−2i−2i2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ1822222-2-222-2-222-2-22-2-22222222-22-2-2-2-22-22-2-222-2-2−2i2i2-2−2i−2i2i2i2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ1922222-2-22-1-2-222-2-2-1-2-2-1-122-12-11-111-212-2-111-1-1112i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii0000000000000000−i3i300−i3i333−3−300000000
χ2022222-2-22-1-2-222-2-2-1-2-2-1-122-12-11-111-212-2-111-1-1112i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii0000000000000000i3−i300i3−i3−3−33300000000
χ2122222-2-22-1-2-222-2-2-1-2-2-1-122-12-11-111-212-2-111-1-111−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i0000000000000000−i3i300−i3i3−3−33300000000
χ2222222-2-22-1-2-222-2-2-1-2-2-1-122-12-11-111-212-2-111-1-111−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i0000000000000000i3−i300i3−i333−3−300000000
χ2322222-2-2-12-2-22-11121122-1-1-1-12-2-1111-2-112-2-2-1-1112i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii00003333−3−3−3−300000000000000−i3−i3i3i30000
χ2422222-2-2-12-2-22-11121122-1-1-1-12-2-1111-2-112-2-2-1-1112i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii0000−3−3−3−3333300000000000000i3i3−i3−i30000
χ2522222-2-2-12-2-22-11121122-1-1-1-12-2-1111-2-112-2-2-1-111−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i00003333−3−3−3−300000000000000i3i3−i3−i30000
χ2622222-2-2-12-2-22-11121122-1-1-1-12-2-1111-2-112-2-2-1-111−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i0000−3−3−3−3333300000000000000−i3−i3i3i30000
χ272222-22-2222-2-222222222222-2-22222-2-2-2-2-22-2222200-2-20000-2-2000000000000000000000000000000000000000000002i−2i
χ282222-22-2222-2-222222222222-2-22222-2-2-2-2-22-2222200-2-20000-2-200000000000000000000000000000000000000000000−2i2i
χ292222-2-2222-22-22-2-22-2-222222-2-2-22-2-222-22-2-2222-2-200-220000-220000000000000000000000000000000000000000002-200
χ302222-2-2222-22-22-2-22-2-222222-2-2-22-2-222-22-2-2222-2-200-220000-22000000000000000000000000000000000000000000-2200
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-2000000000000000000000000002-20000002-22-200000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000-22000000-22-2200000000
χ3322-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000000000000002-2−i3i300i3−i3-11-1100000000
χ3422-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300000000000000-22i3−i300−i3i31-11-100000000
χ3522-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000002-2i3−i300−i3i3-11-1100000000
χ3622-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300000000000000-22−i3i300i3−i31-11-100000000
χ3722-2-22-2-22222-22-2-2222-2-2-2-2222-22-2-2-2-2-22-222-2-222002-20000-220000000000000000000000002-2002200-2-2000000000000
χ3822-2-22-2-22222-22-2-2222-2-2-2-2222-22-2-2-2-2-22-222-2-222002-20000-22000000000000000000000000-2200-2-20022000000000000
χ3922-2-22-2-22-122-22-2-2-12211-2-2-12-11-111-21-221-1-111-1-100-1100001-13−3−3333−3−3−3−3330000000000002-200-1-100113−3−3300000000
χ4022-2-22-2-22-122-22-2-2-12211-2-2-12-11-111-21-221-1-111-1-100-1100001-13−3−3333−3−3−3−333000000000000-22001100-1-1−333−300000000
χ4122-2-22-2-22-122-22-2-2-12211-2-2-12-11-111-21-221-1-111-1-100-1100001-1−333−3−3−33333−3−30000000000002-200-1-10011−333−300000000
χ4222-2-22-2-22-122-22-2-2-12211-2-2-12-11-111-21-221-1-111-1-100-1100001-1−333−3−3−33333−3−3000000000000-22001100-1-13−3−3300000000
χ4322-2-2-22-222-2222222-2-2-2-2-2-22-2-22222-2-2222-22-2-2-2-200-2-20000220000000000000000000000000000002i−2i0000002i−2i2i−2i0000
χ4422-2-2-22-222-2222222-2-2-2-2-2-22-2-22222-2-2222-22-2-2-2-200-2-2000022000000000000000000000000000000−2i2i000000−2i2i−2i2i0000
χ4522-2-2-22-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-12-2211110011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i3000033−3−333−3−30000002i−2i000000−ii−ii0000
χ4622-2-2-22-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-12-2211110011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i30000−3−333−3−333000000−2i2i000000i−ii−i0000
χ4722-2-2-22-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-12-2211110011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i3000033−3−333−3−3000000−2i2i000000i−ii−i0000
χ4822-2-2-22-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-12-2211110011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i30000−3−333−3−3330000002i−2i000000−ii−ii0000
χ4922-2-2-2-22222-222-2-2222-2-2-2-22-2-2-22-2-2222-222-2-2-22200-2200002-200000000000022-2-222-2-2-2-2220000000000000000000000
χ5022-2-2-2-22222-222-2-2222-2-2-2-22-2-2-22-2-2222-222-2-2-22200-2200002-2000000000000-2-222-2-22222-2-20000000000000000000000
χ5122-2-2-2-22-122-22-1112-1-1-2-211-11-2-2-111-12-1122-211-1-1001-13−3−33-1100003−33−3−33−3322-2-2-1-11111-1-100000000000000−333−30000
χ5222-2-2-2-22-122-22-1112-1-1-2-211-11-2-2-111-12-1122-211-1-1001-13−3−33-1100003−33−3−33−33-2-22211-1-1-1-111000000000000003−3−330000
χ5322-2-2-2-22-122-22-1112-1-1-2-211-11-2-2-111-12-1122-211-1-1001-1−333−3-110000−33−333−33−322-2-2-1-11111-1-1000000000000003−3−330000
χ5422-2-2-2-22-122-22-1112-1-1-2-211-11-2-2-111-12-1122-211-1-1001-1−333−3-110000−33−333−33−3-2-22211-1-1-1-11100000000000000−333−30000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-211114411-2-2-2-211-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-21111-4-4112222112222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-4-2-2-4-44-222-222-2-2-2-21-2-221-1-122-22-22211-1-14i−4i1-1−2i−2i2i2i1-1−2i−2i2i2iiiii−i−i−i−i0000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-222-222-2-2-2-21-2-221-1-122-22-22211-1-1−4i4i1-12i2i−2i−2i1-12i2i−2i−2i−i−i−i−iiiii0000000000000000000000000000000000
χ594444-44-44-24-4-4444-244-2-244-2-42-2-2-2-2-42-4-42-22-2-2-2-200220000220000000000000000000000000000000000000000000000
χ604444-44-4-244-4-4-2-2-24-2-244-2-2-22-44-2-2-22-422-44-4-2-2-2-200220000220000000000000000000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-2122-211122222-22111100-1-10000-1-100003-3-333-3-330000000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-2122-211122222-22111100-1-10000-1-10000-333-3-333-30000000000000000000000000000000000
χ634444-4-444-2-44-44-4-4-2-4-4-2-244-2-422-2224-2-4422-2-2-222002-200002-20000000000000000000000000000000000000000000000
χ644444-4-44-24-44-4-22242244-2-2-22-4-4-222-242-2-4-44-2-222002-200002-20000000000000000000000000000000000000000000000
χ654444-4-44-2-2-44-4-222-222-2-2-2-212221-1-1-2-22-222-211-1-100-110000-1100003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ664444-4-44-2-2-44-4-222-222-2-2-2-212221-1-1-2-22-222-211-1-100-110000-110000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ6744-4-4444-24-4-4-4-2-2-2422-4-422-2-244-2-2-2-2422-4-4-4222200-2-20000220000000000000000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-222222-1-1-1-100110000-1-1−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-222222-1-1-1-100110000-1-12i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ7044-4-44-4-4-2444-4-2224-2-2-4-422-2-24-4-2222-42-2-44422-2-200-2200002-20000000000000000000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-222-2-2-222221-2-221-1-1222-22-2-2-1-111001-10000-1123−23−2323−3−33333−3−30000000000000000000000000000000000
χ7244-4-44-4-4-2-244-4-222-2-2-222221-2-221-1-1222-22-2-2-1-111001-10000-11−232323−2333−3−3−3−3330000000000000000000000000000000000
χ7344-4-4-44-44-2-444444-2-4-422-4-4-2-42-2-2-2-2-4244-22-2222200220000-2-20000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-2-2-2222222122-211122-2-2-22-2-1-1-1-100-1-1−2i32i3−2i32i3110000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-2-2-2-2222222122-211122-2-2-22-2-1-1-1-100-1-12i3−2i32i3−2i3110000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ7644-4-4-4-444-24-444-4-4-24422-4-4-2-422-2224-24-4-2-2222-2-2002-20000-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-222-2-2-2222212221-1-1-2-2-22-2-22-1-11100-1123−23−23231-10000−33−333−33−30000000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-222-2-2-2222212221-1-1-2-2-22-2-22-1-11100-11−232323−231-100003−33−3−33−330000000000000000000000000000000000
χ794-44i−4i00044000-400-4004i−4i4i−4i4000-40000000004i−4i0000000000000000000000002-22i−2i2-22i−2i2i−2i2-20000000000000000000000
χ804-44i−4i00044000-400-4004i−4i4i−4i4000-40000000004i−4i000000000000000000000000-22−2i2i-22−2i2i−2i2i-220000000000000000000000
χ814-44i−4i000-240002−2i32i3-423−234i−4i−2i2i-20002−2i32i30000000−2i2i23−2300000000000000000000002-22i−2i−1−31+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−1+31−30000000000000000000000
χ824-44i−4i000-240002−2i32i3-423−234i−4i−2i2i-20002−2i32i30000000−2i2i23−230000000000000000000000-22−2i2i1+3−1−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ111−3−1+30000000000000000000000
χ834-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-200022i3−2i30000000−2i2i−232300000000000000000000002-22i−2i−1+31−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−1−31+30000000000000000000000
χ844-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-200022i3−2i30000000−2i2i−23230000000000000000000000-22−2i2i1−3−1+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ111+3−1−30000000000000000000000
χ854-4−4i4i00044000-400-400−4i4i−4i4i4000-4000000000−4i4i0000000000000000000000002-2−2i2i2-2−2i2i−2i2i2-20000000000000000000000
χ864-4−4i4i00044000-400-400−4i4i−4i4i4000-4000000000−4i4i000000000000000000000000-222i−2i-222i−2i2i−2i-220000000000000000000000
χ874-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-20002−2i32i300000002i−2i−232300000000000000000000002-2−2i2i−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+30000000000000000000000
χ884-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-20002−2i32i300000002i−2i−23230000000000000000000000-222i−2i1−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−30000000000000000000000
χ894-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-200022i3−2i300000002i−2i23−2300000000000000000000002-2−2i2i−1−31+3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−1+31−30000000000000000000000
χ904-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-200022i3−2i300000002i−2i23−230000000000000000000000-222i−2i1+3−1−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111−3−1+30000000000000000000000
χ918-88i−8i0008-4000-800400−4i4i8i−8i-40004000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-40004−4i34i3443−43−4i4i−4i4i2000-22i3−2i300000002i−2i−232300000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-400044i3−4i34−4343−4i4i−4i4i2000-2−2i32i300000002i−2i23−2300000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-4000-8004004i−4i−8i8i-400040000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-40004−4i34i34−43434i−4i4i−4i2000-22i3−2i30000000−2i2i23−2300000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-400044i3−4i3443−434i−4i4i−4i2000-2−2i32i30000000−2i2i−232300000000000000000000000000000000000000000000000000000000

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