Finite Group Databasebeta

← Group #11867152

Character table — Group #11867152

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order12222233444466666636666666666688881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244222444442488886661212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-1111-1-1
χ5111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-111-1-1-1-111-11-1-11-1
χ6111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1-1-1-1-11-111-11
χ7111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11111-11-1-1111-1
χ8111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-111-1-1-11
χ91111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1-1111-1-11-1-1
χ101111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-111-1-1-1-1-111-111
χ111111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-111-1-111-11111-1-1-1
χ121111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1111-1-1-1-1111
χ131111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-111-11-1-1-1-1-1-11111-1-11-1-11
χ141111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-1-11-111-1-1-1-111-1-111-111-1
χ151111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111111-1-1-11-11-11-11
χ161111-1-1111-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11111-1-1-11111-1-11-11-11-11-1
χ1722222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2000000002-2000000000000
χ1822222222-2-2-2-22222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22200000000-22000000000000
χ192222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220022000000000-1-1000-1-1
χ202222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-20000000001100011
χ212222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111100002-2002-2000000000-11000-11
χ222222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2200-220000000001-10001-1
χ23222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000220022000000-100-1-1-100
χ24222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-200-2-200000010011100
χ25222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000002-2002-2000000-100-11100
χ26222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000-2200-220000001001-1-100
χ272222-2-222-222-22222222-2-2-2-222-2-2-2-220000-222-222-2-22222-2-2-2-20000000000000000000000000000000022-2-200000000-22000000000000
χ282222-2-222-222-22222222-2-2-2-222-2-2-2-220000-222-222-2-22222-2-2-2-200000000000000000000000000000000-2-222000000002-2000000000000
χ292222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-122-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002200-2-2000000000-1-100011
χ302222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-122-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2002200000000011000-1-1
χ312222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-1-2-222-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002-200-22000000000-110001-1
χ322222-2-22-12-2-22-1-1222-1-1-2-211-1-11111-1-2-222-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-22002-20000000001-1000-11
χ332222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000002-200-22000000-10011-100
χ342222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000-22002-2000000100-1-1100
χ352222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000002200-2-2000000-1001-1100
χ362222-2-2-122-2-2222-1-1-12-111-2-2-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-20022000000100-11-100
χ372-2-220022200-2-22-2-22-220000-2-200002002i−2i200200220000-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-22-20000000000002i−2i00000000
χ382-2-220022200-2-22-2-22-220000-2-200002002i−2i200200220000-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22-22000000000000−2i2i00000000
χ392-2-220022200-2-22-2-22-220000-2-20000200−2i2i200200220000-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-22-2000000000000−2i2i00000000
χ402-2-220022200-2-22-2-22-220000-2-20000200−2i2i200200220000-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-22-220000000000002i−2i00000000
χ412-2-220022-2002-22-2-22-220000-2-2000022-200-200-200-2-20000222222-2-222-2-22222-2-2-2-200000000000000002-2-2200000000002-20000000000
χ422-2-220022-2002-22-2-22-220000-2-2000022-200-200-200-2-20000222222-2-222-2-22222-2-2-2-20000000000000000-222-20000000000-220000000000
χ432-2-220022-2002-22-2-22-220000-2-200002-2200-200-200-2-200002222-2-222-2-222-2-2-2-2222200000000000000002-2-220000000000-220000000000
χ442-2-220022-2002-22-2-22-220000-2-200002-2200-200-200-2-200002222-2-222-2-222-2-2-2-222220000000000000000-222-200000000002-20000000000
χ454444444-2-4-4-4-4-2-2444-2-244-2-2-2-2-2-2-2-2-20000222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000
χ46444444-24-4-4-4-444-2-2-24-2-2-244-2-2-2-2-2-2-20000-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000
χ47444444-2-24444-2-2-2-2-2-21-2-2-2-211111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ48444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ49444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ50444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ514444-4-44-2-444-4-2-2444-2-2-4-422-2-22222-200002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000
χ524444-4-4-24-444-444-2-2-24-222-4-4-2-22222-20000-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000
χ534444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-1144-4-4-222-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ544444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-4-444-222-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ554444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-1100002-2-22-2-2-1-1111122-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ564444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-1100002-2-22-2-2-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ5744-4-4004404i−4i04-44-4-4-4400004-40000-4000004i−4i04i−4i004i4i−4i−4i00000000000000000000000000000000000000000000000000000000000000
χ5844-4-400440−4i4i04-44-4-4-4400004-40000-400000−4i4i0−4i4i00−4i−4i4i4i00000000000000000000000000000000000000000000000000000000000000
χ5944-4-4004-204i−4i0-224-4-42-20000-220000200000−2i2i04i−4i00−2i−2i2i2i00000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i600006−66−66−66−66−66−600000000000000000000000000
χ6044-4-4004-204i−4i0-224-4-42-20000-220000200000−2i2i04i−4i00−2i−2i2i2i00000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i60000−66−66−66−66−66−6600000000000000000000000000
χ6144-4-4004-20−4i4i0-224-4-42-20000-2200002000002i−2i0−4i4i002i2i−2i−2i00000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i60000−66−66−66−66−66−6600000000000000000000000000
χ6244-4-4004-20−4i4i0-224-4-42-20000-2200002000002i−2i0−4i4i002i2i−2i−2i00000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i600006−66−66−66−66−66−600000000000000000000000000
χ6344-4-400-2404i−4i04-4-222-4-20000-2200002000004i−4i0−2i2i00−2i−2i2i2i00006−66−600006−6−666−6−66i6−i6i6−i60000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ6444-4-400-2404i−4i04-4-222-4-20000-2200002000004i−4i0−2i2i00−2i−2i2i2i0000−66−660000−666−6−666−6−i6i6−i6i60000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ6544-4-400-240−4i4i04-4-222-4-20000-220000200000−4i4i02i−2i002i2i−2i−2i00006−66−600006−6−666−6−66−i6i6−i6i60000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ6644-4-400-240−4i4i04-4-222-4-20000-220000200000−4i4i02i−2i002i2i−2i−2i0000−66−660000−666−6−666−6i6−i6i6−i60000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ6744-4-400-2-204i−4i0-22-2222100001-133-3-3-100000−2i2i0−2i2i3i−3iii−i−i003i−3i6−66−6i6−i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23i6−i6i6−i66−66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000
χ6844-4-400-2-204i−4i0-22-2222100001-133-3-3-100000−2i2i0−2i2i3i−3iii−i−i003i−3i−66−66−i6i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−i6i6−i6i6−66−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000
χ6944-4-400-2-204i−4i0-22-2222100001-1-3-333-100000−2i2i0−2i2i−3i3iii−i−i00−3i3i6−66−6−i6i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13i6−i6i6−i6−66−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000
χ7044-4-400-2-204i−4i0-22-2222100001-1-3-333-100000−2i2i0−2i2i−3i3iii−i−i00−3i3i−66−66i6−i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−i6i6−i6i66−66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000
χ7144-4-400-2-20−4i4i0-22-2222100001-133-3-3-1000002i−2i02i−2i−3i3i−i−iii00−3i3i6−66−6−i6i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−i6i6−i6i66−66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000
χ7244-4-400-2-20−4i4i0-22-2222100001-133-3-3-1000002i−2i02i−2i−3i3i−i−iii00−3i3i−66−66i6−i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13i6−i6i6−i6−66−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000
χ7344-4-400-2-20−4i4i0-22-2222100001-1-3-333-1000002i−2i02i−2i3i−3i−i−iii003i−3i6−66−6i6−i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i6i6−i6i6−66−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000
χ7444-4-400-2-20−4i4i0-22-2222100001-1-3-333-1000002i−2i02i−2i3i−3i−i−iii003i−3i−66−66−i6i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23i6−i6i6−i66−66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000
χ754-44-44-4440000-4-4-44-4444-44-4-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1084-4-4400-2-2-40042-222-2210000-1-1-333-31-4400200200-1-13-3-33-2-21122-2-222-2-2-1-1-1-1111100000000-3-33333-3-300000000000000000000000000

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