Finite Group Databasebeta

← Group #11790541

Character table — Group #11790541

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12442223344466661212121212123444466666666121212121212121212121212121212121288882424242424242424661212121212121212121212121212888888242424242424242424242424888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-1-11-1-111-11111-1-111-1-1-1-11ii−i−i11-1-1-11-1-111-1-1iiii−i−i−i−i11-1-1111-1-11111-1-1-1-11-11-1iiiiii−i−i−i−i−i−iii−i−i1-111-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1i−i1-1
χ1011-1-11-1-111-11111-1-111-1-1-1-11ii−i−i11-1-1-11-1-111-1-1iiii−i−i−i−i11-1-1111-1-11111-1-1-1-11-11-1iiiiii−i−i−i−i−i−iii−i−i1-111-1-1iiii−i−i−i−i−ii-11−i−iii-1-111−ii-11
χ1111-1-11-1-111-11111-1-111-1-1-1-11ii−i−i11-1-1-11-1-111-1-1iiii−i−i−i−i11-1-11-1-111-1-1-1-111111-11-1iiiiii−i−i−i−i−i−i−i−iii-11-1-111−i−i−i−iiiiii−i1-1ii−i−i11-1-1−ii-11
χ1211-1-11-1-111-11111-1-111-1-1-1-11ii−i−i11-1-1-11-1-111-1-1iiii−i−i−i−i11-1-11-1-111-1-1-1-111111-11-1iiiiii−i−i−i−i−i−i−i−iii-11-1-111−i−i−i−iiiii−ii-11−i−iii-1-111i−i1-1
χ1311-1-11-1-111-11111-1-111-1-1-1-11−i−iii11-1-1-11-1-111-1-1−i−i−i−iiiii11-1-1111-1-11111-1-1-1-11-11-1−i−i−i−i−i−iiiiiii−i−iii1-111-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111i−i-11
χ1411-1-11-1-111-11111-1-111-1-1-1-11−i−iii11-1-1-11-1-111-1-1−i−i−i−iiiii11-1-1111-1-11111-1-1-1-11-11-1−i−i−i−i−i−iiiiiii−i−iii1-111-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−ii1-1
χ1511-1-11-1-111-11111-1-111-1-1-1-11−i−iii11-1-1-11-1-111-1-1−i−i−i−iiiii11-1-11-1-111-1-1-1-111111-11-1−i−i−i−i−i−iiiiiiiii−i−i-11-1-111iiii−i−i−i−ii−i-11ii−i−i-1-111−ii1-1
χ1611-1-11-1-111-11111-1-111-1-1-1-11−i−iii11-1-1-11-1-111-1-1−i−i−i−iiiii11-1-11-1-111-1-1-1-111111-11-1−i−i−i−i−i−iiiiiiiii−i−i-11-1-111iiii−i−i−i−i−ii1-1−i−iii11-1-1i−i-11
χ1722222222-12222-1222222-1-1-122222-12-1-1-1-1-12-12-122222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222-12222-1222222-1-1-122222-12-1-1-1-1-12-12-122222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ1922222222-12222-1222222-1-1-1-2-2-2-22-12-1-1-1-1-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1000000000000-1-1-1-111111111111100000000000000000022-2-2-1-1-1-111110000
χ2022222222-12222-1222222-1-1-1-2-2-2-22-12-1-1-1-1-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1000000000000-1-1-1-1111111111111000000000000000000-2-2221111-1-1-1-10000
χ212222222-12222-12-1-1-1-1-1-122-12222-12-122-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222-12222-12-1-1-1-1-1-122-12222-12-122-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-211111111-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ232222222-12222-12-1-1-1-1-1-122-1-2-2-2-2-12-122-1-1-1-12-1211111111-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-222-1-1-1-1111111110000000000000000
χ242222222-12222-12-1-1-1-1-1-122-1-2-2-2-2-12-122-1-1-1-12-1211111111-1-1-1-12-2-2-2-211111111-1-1-1-1-2-21111-2-211112222-2-21111-1-1-1-1-1-1-1-10000000000000000
χ2522222-2-2222-2-222-2-2-2-2222222i−2i2i−2i22-2-2-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i-2-222-20000000000002-2-222i−2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2622222-2-2222-2-222-2-2-2-222222−2i2i−2i2i22-2-2-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i-2-222-20000000000002-2-22−2i2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2722222-2-22-12-2-22-1-2-2-2-222-1-1-12i−2i2i−2i2-1-211-111-212-12i2i−2i−2i2i2i−2i−2i11-1-11000000000000-111-1−ii−i−iii−ii−i−iii0000000000000000000000−i3i3−i3i33−33−30000
χ2822222-2-22-12-2-22-1-2-2-2-222-1-1-12i−2i2i−2i2-1-211-111-212-12i2i−2i−2i2i2i−2i−2i11-1-11000000000000-111-1−ii−i−iii−ii−i−iii0000000000000000000000i3−i3i3−i3−33−330000
χ2922222-2-22-12-2-22-1-2-2-2-222-1-1-1−2i2i−2i2i2-1-211-111-212-1−2i−2i2i2i−2i−2i2i2i11-1-11000000000000-111-1i−iii−i−ii−iii−i−i0000000000000000000000−i3i3−i3i3−33−330000
χ3022222-2-22-12-2-22-1-2-2-2-222-1-1-1−2i2i−2i2i2-1-211-111-212-1−2i−2i2i2i−2i−2i2i2i11-1-11000000000000-111-1i−iii−i−ii−iii−i−i0000000000000000000000i3−i3i3−i33−33−30000
χ3122222-2-2-122-2-2-121111-1-122-12i−2i2i−2i-121-2-2-1111-2-12−i−iii−i−iii11-1-1-2000033−3−333−3−3-111-12i−2i−i−iii2i−2i−i−iii0000003−33−3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3222222-2-2-122-2-2-121111-1-122-12i−2i2i−2i-121-2-2-1111-2-12−i−iii−i−iii11-1-1-20000−3−333−3−333-111-12i−2i−i−iii2i−2i−i−iii000000−33−33i3i3−i3−i3i3i3−i3−i30000000000000000
χ3322222-2-2-122-2-2-121111-1-122-1−2i2i−2i2i-121-2-2-1111-2-12ii−i−iii−i−i11-1-1-2000033−3−333−3−3-111-1−2i2iii−i−i−2i2iii−i−i0000003−33−3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3422222-2-2-122-2-2-121111-1-122-1−2i2i−2i2i-121-2-2-1111-2-12ii−i−iii−i−i11-1-1-20000−3−333−3−333-111-1−2i2iii−i−i−2i2iii−i−i000000−33−33−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-22-222-2-2222-2-2-2-2222220000-2-222-22-2-22-2-2-200000000-2-2222000000000000-222-20000000000002-22-20000002-22-22-22-20000000000000000
χ362222-22-222-2-2222-2-2-2-2222220000-2-222-22-2-22-2-2-200000000-2-2222000000000000-222-2000000000000-22-22000000-22-22-22-220000000000000000
χ372222-22-2-12-2-22-121111-1-122-100001-2-12-2-111-1-21-23−33−33−33−311-1-12000033−3−333−3−31-1-11003−33−3003−33−32-22-200−33−33-11-11-11-110000000000000000
χ382222-22-2-12-2-22-121111-1-122-100001-2-12-2-111-1-21-23−33−33−33−311-1-120000−3−333−3−3331-1-11003−33−3003−33−3-22-22003−33−31-11-11-11-10000000000000000
χ392222-22-2-12-2-22-121111-1-122-100001-2-12-2-111-1-21-2−33−33−33−3311-1-12000033−3−333−3−31-1-1100−33−3300−33−33-22-2200−33−331-11-11-11-10000000000000000
χ402222-22-2-12-2-22-121111-1-122-100001-2-12-2-111-1-21-2−33−33−33−3311-1-120000−3−333−3−3331-1-1100−33−3300−33−332-22-2003−33−3-11-11-11-110000000000000000
χ412222-2-2222-22-2222222222220000-2-2-2-22222-22-2-2000000002222-2222222222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000000000000000
χ422222-2-2222-22-2222222222220000-2-2-2-22222-22-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222000000000000000000000000
χ432222-2-22-12-22-2-12-1-1-1-1-1-122-100001-21-22-1-1-1121-2−i3i3i3−i3−i3i3i3−i3-1-1-1-1-22222-1-1-1-1-1-1-1-1111100−i3i3i3−i300−i3i3i3−i30000-2-21111−i3i3i3−i3−i3i3i3−i30000000000000000
χ442222-2-22-12-22-2-12-1-1-1-1-1-122-100001-21-22-1-1-1121-2−i3i3i3−i3−i3i3i3−i3-1-1-1-1-2-2-2-2-211111111111100−i3i3i3−i300−i3i3i3−i3000022-1-1-1-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ452222-2-22-12-22-2-12-1-1-1-1-1-122-100001-21-22-1-1-1121-2i3−i3−i3i3i3−i3−i3i3-1-1-1-1-22222-1-1-1-1-1-1-1-1111100i3−i3−i3i300i3−i3−i3i30000-2-21111i3−i3−i3i3i3−i3−i3i30000000000000000
χ462222-2-22-12-22-2-12-1-1-1-1-1-122-100001-21-22-1-1-1121-2i3−i3−i3i3i3−i3−i3i3-1-1-1-1-2-2-2-2-211111111111100i3−i3−i3i300i3−i3−i3i3000022-1-1-1-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ4722-2-222222-2-2-22222-2-2-2-2-2-222-2-2222222222-2-2-2-222-2-2-2-222-2-2-2-2-200000000000022-2-22-222-2-2-22-2-2220000000000000000000000000000000000
χ4822-2-222222-2-2-22222-2-2-2-2-2-22-222-222222222-2-2-2-2-2-22222-2-2-2-2-2-2-200000000000022-2-2-22-2-2222-222-2-20000000000000000000000000000000000
χ4922-2-22222-1-2-2-22-122-2-2-2-211-12-2-222-12-1-1-1-1-1-21-2122-2-2-2-22211111000000000000-1-111-11-1-1111-111-1-100000000000000000000003−3−33−333−30000
χ5022-2-22222-1-2-2-22-122-2-2-2-211-12-2-222-12-1-1-1-1-1-21-2122-2-2-2-22211111000000000000-1-111-11-1-1111-111-1-10000000000000000000000−333−33−3−330000
χ5122-2-22222-1-2-2-22-122-2-2-2-211-1-222-22-12-1-1-1-1-1-21-21-2-22222-2-211111000000000000-1-1111-111-1-1-11-1-11100000000000000000000003−3−333−3−330000
χ5222-2-22222-1-2-2-22-122-2-2-2-211-1-222-22-12-1-1-1-1-1-21-21-2-22222-2-211111000000000000-1-1111-111-1-1-11-1-1110000000000000000000000−333−3−333−30000
χ5322-2-2222-12-2-2-2-12-1-11111-2-2-12-2-22-12-122-1-1-11-21-2-1-11111-1-11111-2000033−3−3−3−333-1-1112-2-1-111-2211-1-10000003−3−33−3−33333−3−30000000000000000
χ5422-2-2222-12-2-2-2-12-1-11111-2-2-12-2-22-12-122-1-1-11-21-2-1-11111-1-11111-20000−3−33333−3−3-1-1112-2-1-111-2211-1-1000000−333−333−3−3−3−3330000000000000000
χ5522-2-2222-12-2-2-2-12-1-11111-2-2-1-222-2-12-122-1-1-11-21-211-1-1-1-1111111-2000033−3−3−3−333-1-111-2211-1-12-2-1-1110000003−3−3333−3−3−3−3330000000000000000
χ5622-2-2222-12-2-2-2-12-1-11111-2-2-1-222-2-12-122-1-1-11-21-211-1-1-1-1111111-20000−3−33333−3−3-1-111-2211-1-12-2-1-111000000−333−3−3−33333−3−30000000000000000
χ5722-2-22-2-22-1-2222-1-2-222-2-211-12i2i−2i−2i2-1-211-1112-1-212i2i2i2i−2i−2i−2i−2i-1-111-1000000000000-11-11−i−i−i−i−i−iiiiiii0000000000000000002i−2i2-2−i−iii-1-1110000
χ5822-2-22-2-22-1-2222-1-2-222-2-211-12i2i−2i−2i2-1-211-1112-1-212i2i2i2i−2i−2i−2i−2i-1-111-1000000000000-11-11−i−i−i−i−i−iiiiiii000000000000000000−2i2i-22ii−i−i11-1-10000
χ5922-2-22-2-22-1-2222-1-2-222-2-211-1−2i−2i2i2i2-1-211-1112-1-21−2i−2i−2i−2i2i2i2i2i-1-111-1000000000000-11-11iiiiii−i−i−i−i−i−i0000000000000000002i−2i-22−i−iii11-1-10000
χ6022-2-22-2-22-1-2222-1-2-222-2-211-1−2i−2i2i2i2-1-211-1112-1-21−2i−2i−2i−2i2i2i2i2i-1-111-1000000000000-11-11iiiiii−i−i−i−i−i−i000000000000000000−2i2i2-2ii−i−i-1-1110000
χ6122-2-22-2-2-12-222-1211-1-111-2-2-12i2i−2i−2i-121-2-2-111-121-2−i−i−i−iiiii-1-111222-2-2-1-1-1-11111-11-112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i2-2-1-111−i−i−i−iiiii0000000000000000
χ6222-2-22-2-2-12-222-1211-1-111-2-2-12i2i−2i−2i-121-2-2-111-121-2−i−i−i−iiiii-1-1112-2-2221111-1-1-1-1-11-112i2i−i−i−i−i−2i−2iiiii−2i−2i2i2i-2211-1-1iiii−i−i−i−i0000000000000000
χ6322-2-22-2-2-12-222-1211-1-111-2-2-1−2i−2i2i2i-121-2-2-111-121-2iiii−i−i−i−i-1-111222-2-2-1-1-1-11111-11-11−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i2-2-1-111iiii−i−i−i−i0000000000000000
χ6422-2-22-2-2-12-222-1211-1-111-2-2-1−2i−2i2i2i-121-2-2-111-121-2iiii−i−i−i−i-1-1112-2-2221111-1-1-1-1-11-11−2i−2iiiii2i2i−i−i−i−i2i2i−2i−2i-2211-1-1−i−i−i−iiiii0000000000000000
χ6522-2-2-22-22222-222-2-222-2-2-2-220000-2-222-22-2-2-22220000000022-2-2-222-2-22222-2-2-2-2-22-220000000000000000-22-2-222000000000000000000000000
χ6622-2-2-22-22222-222-2-222-2-2-2-220000-2-222-22-2-2-22220000000022-2-2-2-2-222-2-2-2-22222-22-2200000000000000002-222-2-2000000000000000000000000
χ6722-2-2-22-2-1222-2-1211-1-111-2-2-100001-2-12-2-11112-123−3−33−333−3-1-111-222-2-2-1-1-1-111111-11-1003−3−3300−333−30000-2211-1-13−3−33−333−30000000000000000
χ6822-2-2-22-2-1222-2-1211-1-111-2-2-100001-2-12-2-11112-123−3−33−333−3-1-111-2-2-2221111-1-1-1-11-11-1003−3−3300−333−300002-2-1-111−333−33−3−330000000000000000
χ6922-2-2-22-2-1222-2-1211-1-111-2-2-100001-2-12-2-11112-12−333−33−3−33-1-111-222-2-2-1-1-1-111111-11-100−333−3003−3−330000-2211-1-1−333−33−3−330000000000000000
χ7022-2-2-22-2-1222-2-1211-1-111-2-2-100001-2-12-2-11112-12−333−33−3−33-1-111-2-2-2221111-1-1-1-11-11-100−333−3003−3−3300002-2-1-1113−3−33−333−30000000000000000
χ7122-2-2-2-22222-222222-2-2-2-2-2-220000-2-2-2-222222-22200000000-2-2-2-22000000000000-2-2220000000000002i−2i−2i2i0000002i−2i2i−2i−2i2i−2i2i0000000000000000
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χ1148-8−8i8i000-4-4000444i3−4i343−434i−4i4i−4i2000000000-2−2i32i3000000000000−2323−2i2i000000000000000000000000000000000000000000000000000000000000000

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