Finite Group Databasebeta

← Group #11784936

Character table — Group #11784936

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order12442223344466661212121212122234466666666666612121212121212121212121212666666661212121212121212222244446666666688881212121212121212242424242424242444121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-11-1-111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-11-1-11111-11-1-1111-1-1-1-11-111-11-11-1-111-1-1-1-11111-111-1-111-1-1-11-11-111-1-11-11-111-1-11-1111-1-1-111-1-11111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−ii−iii−i−ii−ii−i
χ1011-1-11-1-11111-11-1-1111-1-1-1-11-111-11-11-1-111-1-1-1-11111-111-1-111-1-1-11-11-111-1-11-11-111-1-11-1111-1-1-111-1-11111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii−ii−i−iii−ii−ii
χ1111-1-11-1-11111-11-1-1111-1-1-1-11-111-11-11-1-111-1-1-1-11111-111-1-111-1-1-11-11-111-1-11-11-111-1-1-11-1-1-1111-1-111-1-1-1-1ii−i−i-1-1111111iiii−i−i−i−ii−iii−i−i−ii−ii
χ1211-1-11-1-11111-11-1-1111-1-1-1-11-111-11-11-1-111-1-1-1-11111-111-1-111-1-1-11-11-111-1-11-11-111-1-1-11-1-1-1111-1-111-1-1-1-1−i−iii-1-1111111−i−i−i−iiiii−ii−i−iiii−ii−i
χ1311-1-11-1-11111-11-1-1111-1-1-1-1-111-111-11-1-1-1-111-1-11111-1-1-11111-1-1-1-111-1-1-111-111-1-1-1111-1-1-11-11111-1-1-1-1-1-1ii−i−i11-1-11111iiii−i−i−i−i−ii−i−iiii−i−ii
χ1411-1-11-1-11111-11-1-1111-1-1-1-1-111-111-11-1-1-1-111-1-11111-1-1-11111-1-1-1-111-1-1-111-111-1-1-1111-1-1-11-11111-1-1-1-1-1-1−i−iii11-1-11111−i−i−i−iiiiii−iii−i−i−iii−i
χ1511-1-11-1-11111-11-1-1111-1-1-1-1-111-111-11-1-1-1-111-1-11111-1-1-11111-1-1-1-111-1-1-111-111-1-1-111-1111-11-1-1-1-1111111ii−i−i-1-111-1-1-1-1iiii−i−i−i−i−ii−i−iii−iii−i
χ1611-1-11-1-11111-11-1-1111-1-1-1-1-111-111-11-1-1-1-111-1-11111-1-1-11111-1-1-1-111-1-1-111-111-1-1-111-1111-11-1-1-1-1111111−i−iii-1-111-1-1-1-1−i−i−i−iiiiii−iii−i−ii−i−ii
χ1722222222-1222222-12222-1-122-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000
χ1822222222-1222222-12222-1-122-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111000011111111000000000000000000
χ1922222222-1222222-12222-1-1-2-2-1-2-222-1-1-11111-1-1-12-1-1-11111-1-1-1-12-2-2-1-11111-2-2-1-1111122-2-222-2-2-1-1-1-111110000-1-1-1-11111000000000000000000
χ2022222222-1222222-12222-1-1-2-2-1-2-222-1-1-11111-1-1-12-1-1-11111-1-1-1-12-2-2-1-11111-2-2-1-11111-2-222-2-2221111-1-1-1-100001111-1-1-1-1000000000000000000
χ212222222-12222-1-1-12-1-1-1-12222-122-1-12222222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222200000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ222222222-12222-1-1-12-1-1-1-12222-122-1-12222222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-20000000011111111-2-211110000
χ232222222-12222-1-1-12-1-1-1-122-2-2-1-2-2-1-1222-2-2-2-2-1-1-1-1222-2-2-2-2-1-1-1-1-111-1-1111111-1-111110000000000000000222200000000-1-1-1-1-1-1-1-1-2-211110000
χ242222222-12222-1-1-12-1-1-1-122-2-2-1-2-2-1-1222-2-2-2-2-1-1-1-1222-2-2-2-2-1-1-1-1-111-1-1111111-1-111110000000000000000-2-2-2-2000000001111111122-1-1-1-10000
χ2522222-2-222-2-222-2-22-2-22222002002-22-2-20000-2-22-2-2-220000-2-2222002-2000000-220000002-2002-2000022-2-20000000022-2-2000000000000000000
χ2622222-2-222-2-222-2-22-2-22222002002-22-2-20000-2-22-2-2-220000-2-2222002-2000000-22000000-2200-220000-2-22200000000-2-222000000000000000000
χ2722222-2-22-1-2-222-2-2-1-2-222-1-100-1002-2-111−i3i3−i3i311-1-211-1−i3i3−i3i311-1-1200-11−i3i3−i3i3001-1−i3i3−i3i3002-2002-2−i3i3−i3i3-1-1110000−i3i3−i3i3-1-111000000000000000000
χ2822222-2-22-1-2-222-2-2-1-2-222-1-100-1002-2-111−i3i3−i3i311-1-211-1−i3i3−i3i311-1-1200-11−i3i3−i3i3001-1−i3i3−i3i300-2200-22i3−i3i3−i311-1-10000i3−i3i3−i311-1-1000000000000000000
χ2922222-2-22-1-2-222-2-2-1-2-222-1-100-1002-2-111i3−i3i3−i311-1-211-1i3−i3i3−i311-1-1200-11i3−i3i3−i3001-1i3−i3i3−i3002-2002-2i3−i3i3−i3-1-1110000i3−i3i3−i3-1-111000000000000000000
χ3022222-2-22-1-2-222-2-2-1-2-222-1-100-1002-2-111i3−i3i3−i311-1-211-1i3−i3i3−i311-1-1200-11i3−i3i3−i3001-1i3−i3i3−i300-2200-22−i3i3−i3i311-1-10000−i3i3−i3i311-1-1000000000000000000
χ312222-22-2222-2-2222222222200200-2-2-22-20000222-22-2-200002222-200-2-2000000-2-200002-200-220022-2-200000000-2-2220000000000000000000000
χ322222-22-2222-2-2222222222200200-2-2-22-20000222-22-2-200002222-200-2-2000000-2-20000-22002-200-2-2220000000022-2-20000000000000000000000
χ332222-22-22-12-2-2222-12222-1-100-100-2-21-11−i3i3i3−i3-1-1-1-2-111i3−i3−i3i3-1-1-1-1-20011−i3i3i3−i30011i3−i3−i3i32-200-2200-1-111−i3i3−i3i3000011-1-1−i3i3−i3i3000000000000000000
χ342222-22-22-12-2-2222-12222-1-100-100-2-21-11−i3i3i3−i3-1-1-1-2-111i3−i3−i3i3-1-1-1-1-20011−i3i3i3−i30011i3−i3−i3i3-22002-20011-1-1i3−i3i3−i30000-1-111i3−i3i3−i3000000000000000000
χ352222-22-22-12-2-2222-12222-1-100-100-2-21-11i3−i3−i3i3-1-1-1-2-111−i3i3i3−i3-1-1-1-1-20011i3−i3−i3i30011−i3i3i3−i32-200-2200-1-111i3−i3i3−i3000011-1-1i3−i3i3−i3000000000000000000
χ362222-22-22-12-2-2222-12222-1-100-100-2-21-11i3−i3−i3i3-1-1-1-2-111−i3i3i3−i3-1-1-1-1-20011i3−i3−i3i30011−i3i3i3−i3-22002-20011-1-1−i3i3−i3i30000-1-111−i3i3−i3i3000000000000000000
χ372222-2-2222-22-22-2-22-2-222222-22-22-22-2-2222-2-2-2-222-22-2-2-222-2-222-22-2-2222-2-2-222-2-2-2220000000000000000000000000000000000000000000000
χ382222-2-2222-22-22-2-22-2-22222-2222-2-22-2-22-2-222-2-222-22-222-2-2-2-222-2-22-22-2-2222-22-222-2-20000000000000000000000000000000000000000000000
χ392222-2-222-1-22-22-2-2-1-2-222-1-12-2-1-22-2211-1-1-11111-121-1111-1-111-1-1-22-21-1-1-111-22-1111-1-100000000−i3i3i3−i3−i3i3i3−i30000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ402222-2-222-1-22-22-2-2-1-2-222-1-12-2-1-22-2211-1-1-11111-121-1111-1-111-1-1-22-21-1-1-111-22-1111-1-100000000i3−i3−i3i3i3−i3−i3i30000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ412222-2-222-1-22-22-2-2-1-2-222-1-1-22-12-2-2211-111-1-111-121-11-1-11111-1-1-2-221-111-1-12-2-11-1-11100000000−i3i3i3−i3i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ422222-2-222-1-22-22-2-2-1-2-222-1-1-22-12-2-2211-111-1-111-121-11-1-11111-1-1-2-221-111-1-12-2-11-1-11100000000i3−i3−i3i3−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ432222-2-22-12-22-2-111211-1-1222-2-1-221-1-2-2222-2-211-1-1-22-2-2-22211-1-11-111-1-1-1111-1-1111-1-1000000000000000000000000000033−3−333−3−3003−33−30000
χ442222-2-22-12-22-2-111211-1-1222-2-1-221-1-2-2222-2-211-1-1-22-2-2-22211-1-11-111-1-1-1111-1-1111-1-10000000000000000000000000000−3−333−3−33300−33−330000
χ452222-2-22-12-22-2-111211-1-122-22-12-21-1-2-22-2-22211-1-1-22-222-2-211-1-111-11-111-1-1-11-11-1-111000000000000000000000000000033−3−333−3−300−33−330000
χ462222-2-22-12-22-2-111211-1-122-22-12-21-1-2-22-2-22211-1-1-22-222-2-211-1-111-11-111-1-1-11-11-1-1110000000000000000000000000000−3−333−3−333003−33−30000
χ4722-2-222222-2-2-22222-2-2-2-2-2-200200222220000222-2-2-2-20000-2-2-2-2-20022000000-2-20000002-200-22000022-2-200000000-2-222000000000000000000
χ4822-2-222222-2-2-22222-2-2-2-2-2-200200222220000222-2-2-2-20000-2-2-2-2-20022000000-2-2000000-22002-20000-2-2220000000022-2-2000000000000000000
χ4922-2-22222-1-2-2-2222-1-2-2-2-21100-10022-1-1-1−i3i3i3−i3-1-1-1-2111−i3i3i3−i31111-200-1-1−i3i3i3−i30011−i3i3i3−i3002-200-22−i3i3i3−i3-1-1110000−i3i3i3−i311-1-1000000000000000000
χ5022-2-22222-1-2-2-2222-1-2-2-2-21100-10022-1-1-1−i3i3i3−i3-1-1-1-2111−i3i3i3−i31111-200-1-1−i3i3i3−i30011−i3i3i3−i300-22002-2i3−i3−i3i311-1-10000i3−i3−i3i3-1-111000000000000000000
χ5122-2-22222-1-2-2-2222-1-2-2-2-21100-10022-1-1-1i3−i3−i3i3-1-1-1-2111i3−i3−i3i31111-200-1-1i3−i3−i3i30011i3−i3−i3i3002-200-22i3−i3−i3i3-1-1110000i3−i3−i3i311-1-1000000000000000000
χ5222-2-22222-1-2-2-2222-1-2-2-2-21100-10022-1-1-1i3−i3−i3i3-1-1-1-2111i3−i3−i3i31111-200-1-1i3−i3−i3i30011i3−i3−i3i300-22002-2−i3i3i3−i311-1-10000−i3i3i3−i3-1-111000000000000000000
χ5322-2-22-2-22-122-22-2-2-122-2-2112-2-12-22-2-111-1-11111-12-1-11-1-111-1-111-22-2-11-1-1112-2-11-1-1112-2222-2-2-2-1-111-1-1-1-10000-1-1111111000000000000000000
χ5422-2-22-2-22-122-22-2-2-122-2-2112-2-12-22-2-111-1-11111-12-1-11-1-111-1-111-22-2-11-1-1112-2-11-1-111-22-2-2-222211-1-11111000011-1-1-1-1-1-1000000000000000000
χ5522-2-22-2-22-122-22-2-2-122-2-211-22-1-222-2-11111-1-111-12-1-1111-1-1-1-111-2-22-1111-1-1-22-1111-1-12-2-2-22-222-1-11111110000-1-111-1-1-1-1000000000000000000
χ5622-2-22-2-22-122-22-2-2-122-2-211-22-1-222-2-11111-1-111-12-1-1111-1-1-1-111-2-22-1111-1-1-22-1111-1-1-2222-22-2-211-1-1-1-1-1-1000011-1-11111000000000000000000
χ5722-2-22-2-2-1222-2-1112-1-111-2-22-2-12-2-112-2-222-2-211-1-122-222-2-2-1-1111-11-11-1-111-11-11-1-11100000000000000002i2i−2i−2i00000000−i−i−i−iiiii2i−2i−i−iii0000
χ5822-2-22-2-2-1222-2-1112-1-111-2-22-2-12-2-112-2-222-2-211-1-122-222-2-2-1-1111-11-11-1-111-11-11-1-1110000000000000000−2i−2i2i2i00000000iiii−i−i−i−i−2i2iii−i−i0000
χ5922-2-22-2-2-1222-2-1112-1-111-2-2-22-1-22-112-2-2-2-22211-1-122-2-2-222-1-11111-1-1111-1-11-1-1111-1-100000000000000002i2i−2i−2i00000000−i−i−i−iiiii−2i2iii−i−i0000
χ6022-2-22-2-2-1222-2-1112-1-111-2-2-22-1-22-112-2-2-2-22211-1-122-2-2-222-1-11111-1-1111-1-11-1-1111-1-10000000000000000−2i−2i2i2i00000000iiii−i−i−i−i2i−2i−i−iii0000
χ6122-2-2-22-222-2222222-2-2-2-2-2-2222-2-2-2-2-22-222222222-222-2-2-2-2-2-2-2-2222-2-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000
χ6222-2-2-22-222-2222222-2-2-2-2-2-2-2-2222-2-2-22-2-2-2-2-22222-2222222-2-2-2-22-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000
χ6322-2-2-22-22-1-222222-1-2-2-2-21122-1-2-2-2-21-11-1-1-1-1-1-1-121-1-11111111122211-1-1-1-1-2-2-1-1111100000000−i3i3−i3i3−i3i3i3−i30000i3−i3i3−i3i3−i3−i3i3000000000000000000
χ6422-2-2-22-22-1-222222-1-2-2-2-21122-1-2-2-2-21-11-1-1-1-1-1-1-121-1-11111111122211-1-1-1-1-2-2-1-1111100000000i3−i3i3−i3i3−i3−i3i30000−i3i3−i3i3−i3i3i3−i3000000000000000000
χ6522-2-2-22-22-1-222222-1-2-2-2-211-2-2-122-2-21-111111-1-1-121-1-1-1-1-1-111112-2-211111122-1-1-1-1-1-100000000−i3i3−i3i3i3−i3−i3i30000i3−i3i3−i3−i3i3i3−i3000000000000000000
χ6622-2-2-22-22-1-222222-1-2-2-2-211-2-2-122-2-21-111111-1-1-121-1-1-1-1-1-111112-2-211111122-1-1-1-1-1-100000000i3−i3i3−i3−i3i3i3−i30000−i3i3−i3i3i3−i3−i3i3000000000000000000
χ6722-2-2-22-2-12-222-1-1-121111-2-222-1-2-211-22-22222-1-1-1-1-222-2-2-2-21111-1-1-111-1-1-1-111-1-111110000000000000000000000000000−i3−i3i3i3i3i3−i3−i300−i3i3i3−i30000
χ6822-2-2-22-2-12-222-1-1-121111-2-222-1-2-211-22-22222-1-1-1-1-222-2-2-2-21111-1-1-111-1-1-1-111-1-111110000000000000000000000000000i3i3−i3−i3−i3−i3i3i300i3−i3−i3i30000
χ6922-2-2-22-2-12-222-1-1-121111-2-2-2-2-12211-22-2-2-2-2-2-1-1-1-1-22222221111-111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i300i3−i3−i3i30000
χ7022-2-2-22-2-12-222-1-1-121111-2-2-2-2-12211-22-2-2-2-2-2-1-1-1-1-22222221111-111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i300−i3i3i3−i30000
χ7122-2-2-2-22222-222-2-2222-2-2-2-200200-22-2-220000-2-22-22-22000022-2-2200-22000000-2200002200-2-200222200000000-2-2-2-20000000000000000000000
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χ1054-4−4i4i000-240002−2i32i3-4−23232i−2i−4i4i00-200000000000−2i32i3200000000−23232i−2i000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ230000000000
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χ1098-88i−8i0008-4000-8004008i−8i−4i4i00-4000000000000040000000000−4i4i000000000000000000000000000000000000000000000000000000000000000
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χ1128-8−8i8i0008-4000-800400−8i8i4i−4i00-40000000000000400000000004i−4i000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i000-4-40004−4i34i34−43434i−4i4i−4i002000000000002i3−2i3-20000000023−23−2i2i000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i000-4-400044i3−4i3443−434i−4i4i−4i00200000000000−2i32i3-200000000−2323−2i2i000000000000000000000000000000000000000000000000000000000000000

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