Finite Group Databasebeta

← Group #11797392

Character table — Group #11797392

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442334668888121212122424242436661212121224242424242424242424444461216162424484848484848484848484848484848482488881212121224242424612161616162424484848484848484844881616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1
χ91111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-11111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i11-1-1i−i
χ101111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-1-11111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111−ii
χ111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-11111-1-1-1-111−ii−ii-1-1−i−iii−i−iii11-1-1−ii
χ121111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-1-11111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i-1-111i−i
χ131111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1-1-1111111−iii−i-1-1−i−iiiii−i−i-1-111−ii
χ141111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-11111-1-1-1-11111-1-1−ii−ii11−i−iii−i−iii11-1-1i−i
χ151111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1-1-1111111i−i−ii-1-1ii−i−i−i−iii-1-111i−i
χ161111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-1-11111-1-1-1-11111-1-1i−ii−i11ii−i−iii−i−i11-1-1−ii
χ17222222-122-1222222-1-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000-1-10022-1-10000-1-1-1-1000000
χ18222222-122-1222222-1-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000001100-2-21100001111000000
χ19222222-122-1222222-1-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-1-100-2-2-1-100001111000000
χ20222222-122-1222222-1-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-20000000000110022110000-1-1-1-1000000
χ21222222-122-1-2-2-2-222-1-1-2-2-2-2-1-1-12-1-1-12-2-2111111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii22-2-20000000000-1-1002i−2i110000−i−iii000000
χ22222222-122-1-2-2-2-222-1-1-2-2-2-2-1-1-12-1-1-12-2-2111111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-22200000000001100−2i2i-1-10000ii−i−i000000
χ23222222-122-1-2-2-2-222-1-1-2-2-2-2-1-1-12-1-1-12-2-2111111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i22-2-20000000000-1-100−2i2i110000ii−i−i000000
χ24222222-122-1-2-2-2-222-1-1-2-2-2-2-1-1-12-1-1-12-2-2111111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-222000000000011002i−2i-1-10000−i−iii000000
χ2522222-122-122222-1-122-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-100220000-1-1-1-10000000000
χ2622222-122-122222-1-122-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1222222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100-2-2000011110000000000
χ2722222-122-122222-1-122-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-122-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100-2-2000011110000000000
χ2822222-122-122222-1-122-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-122-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-21111111100220000-1-1-1-10000000000
χ2922222-122-12-2-2-2-2-1-1221111-12-1-12-1-1-111-2-21111-2-22222-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000-2-2-1-1-1-11111002i−2i0000−i−iii0000000000
χ3022222-122-12-2-2-2-2-1-1221111-12-1-12-1-1-111-2-21111-2-22222-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000-2-2-1-1-1-1111100−2i2i0000ii−i−i0000000000
χ3122222-122-12-2-2-2-2-1-1221111-12-1-12-1-1-111-2-21111-2-2-2-2-2-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000221111-1-1-1-100−2i2i0000ii−i−i0000000000
χ3222222-122-12-2-2-2-2-1-1221111-12-1-12-1-1-111-2-21111-2-2-2-2-2-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000221111-1-1-1-1002i−2i0000−i−iii0000000000
χ332222-222-22222-2-2222222222-22-2-222-2-2-2222222-2-20000-2-200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ342222-222-22222-2-2222222222-22-2-222-2-2-2222222-2-20000-2-200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ352222-222-222-2-2222222-2-2-2-22-22-2-222-222-2-2-2-2-2-2220000-2-2002200000000000000000000000000000000000000000000002i−2i−2i2i00
χ362222-222-222-2-2222222-2-2-2-22-22-2-222-222-2-2-2-2-2-2220000-2-200220000000000000000000000000000000000000000000000−2i2i2i−2i00
χ3722-2-2222-2222i−2i2i−2i-2-2-2-22i2i−2i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i00002-2002i−2i00000000000000002-22i−2i00000000002-200002i−2i00000000000000
χ3822-2-2222-2222i−2i2i−2i-2-2-2-22i2i−2i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i00002-2002i−2i0000000000000000-22−2i2i0000000000-220000−2i2i00000000000000
χ3922-2-2222-222−2i2i−2i2i-2-2-2-2−2i−2i2i2i2222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i2i00002-200−2i2i00000000000000002-2−2i2i00000000002-20000−2i2i00000000000000
χ4022-2-2222-222−2i2i−2i2i-2-2-2-2−2i−2i2i2i2222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i2i00002-200−2i2i0000000000000000-222i−2i0000000000-2200002i−2i00000000000000
χ4122-2-222-1-22-12i−2i2i−2i-2-2112i2i−2i−2i-1-1-12111-22i−2i−ii−i−iii−ii0000-1100−ii0000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132-22i−2i0000000000-110000−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ4222-2-222-1-22-12i−2i2i−2i-2-2112i2i−2i−2i-1-1-12111-22i−2i−ii−i−iii−ii0000-1100−ii0000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-22−2i2i00000000001-10000i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ4322-2-222-1-22-12i−2i2i−2i-2-2112i2i−2i−2i-1-1-12111-22i−2i−ii−i−iii−ii0000-1100−ii0000ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132-22i−2i0000000000-110000−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ4422-2-222-1-22-12i−2i2i−2i-2-2112i2i−2i−2i-1-1-12111-22i−2i−ii−i−iii−ii0000-1100−ii0000ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-22−2i2i00000000001-10000i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ4522-2-222-1-22-1−2i2i−2i2i-2-211−2i−2i2i2i-1-1-12111-2−2i2ii−iii−i−ii−i0000-1100i−i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232-2−2i2i0000000000-110000i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ4622-2-222-1-22-1−2i2i−2i2i-2-211−2i−2i2i2i-1-1-12111-2−2i2ii−iii−i−ii−i0000-1100i−i0000ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-222i−2i00000000001-10000−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ4722-2-222-1-22-1−2i2i−2i2i-2-211−2i−2i2i2i-1-1-12111-2−2i2ii−iii−i−ii−i0000-1100i−i0000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232-2−2i2i0000000000-110000i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ4822-2-222-1-22-1−2i2i−2i2i-2-211−2i−2i2i2i-1-1-12111-2−2i2ii−iii−i−ii−i0000-1100i−i0000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-222i−2i00000000001-10000−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ4922-2-2-2222222i−2i−2i2i-2-2-2-22i2i−2i−2i2-22-22-2-22−2i2i2i−2i2i2i−2i−2i−2i2i2i2i−2i−2i-2200−2i2i000000000000000000002-22i2i−2i−2i22-2-20000000000000000000000
χ5022-2-2-2222222i−2i−2i2i-2-2-2-22i2i−2i−2i2-22-22-2-22−2i2i2i−2i2i2i−2i−2i−2i2i−2i−2i2i2i-2200−2i2i00000000000000000000-22−2i−2i2i2i-2-2220000000000000000000000
χ5122-2-2-222222−2i2i2i−2i-2-2-2-2−2i−2i2i2i2-22-22-2-222i−2i−2i2i−2i−2i2i2i2i−2i2i2i−2i−2i-22002i−2i00000000000000000000-222i2i−2i−2i-2-2220000000000000000000000
χ5222-2-2-222222−2i2i2i−2i-2-2-2-2−2i−2i2i2i2-22-22-2-222i−2i−2i2i−2i−2i2i2i2i−2i−2i−2i2i2i-22002i−2i000000000000000000002-2−2i−2i2i2i22-2-20000000000000000000000
χ5322-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-2-11211-1i−i2i−2i−i−iii−2i2i2i2i−2i−2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300002-2−i−iii-1-11100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ5422-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-2-11211-1i−i2i−2i−i−iii−2i2i2i2i−2i−2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300002-2−i−iii-1-11100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ5522-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-2-11211-1i−i2i−2i−i−iii−2i2i−2i−2i2i2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000-22ii−i−i11-1-100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ5622-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-2-11211-1i−i2i−2i−i−iii−2i2i−2i−2i2i2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000-22ii−i−i11-1-100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ5722-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-2-11211-1−ii−2i2iii−i−i2i−2i2i2i−2i−2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000-22−i−iii11-1-100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ5822-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-2-11211-1−ii−2i2iii−i−i2i−2i2i2i−2i−2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000-22−i−iii11-1-100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ5922-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-2-11211-1−ii−2i2iii−i−i2i−2i−2i−2i2i2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002-2ii−i−i-1-11100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ6022-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-2-11211-1−ii−2i2iii−i−i2i−2i−2i−2i2i2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002-2ii−i−i-1-11100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
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χ6344444-2-24-2-2-4-4-4-4-2-2-2-222221-21-2-211-22222-1-1-1-1220000114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.