Finite Group Databasebeta

← Group #11868611

Character table — Group #11868611

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242444442244444422444444661212121212124888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11-11
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-11111-11-11
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111-111111-11-1
χ91111111-1-111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11-11111-1-1-1-1-111-1-111-1-1
χ101111111-1-111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-11-1-1-1-11111-111-1-1-1-111
χ111111111-1-111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-1111-1-1111-1-11
χ121111111-1-111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-11-1-111-111-1
χ131111111-1-111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-11-111111-1-1-1-1-1-1-111-1-111
χ141111111-1-111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-1-11111-1-1
χ151111111-1-111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-111-111-1-1-1-111111-1-1-111-1
χ161111111-1-111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1111-1-11-1-11
χ17222222-222-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-20000000000000000222200000000-2-222000000000000-200000000
χ18222222-222-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-20000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-2000000002222000000000000-200000000
χ2122222-12222-122-12-1-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002200220000002200-1-100-1-10000000-10-10
χ2222222-12222-122-12-1-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2-2000000-2-20011001100000001010
χ2322222-12222-122-12-1-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-1-2-2111111-2-21111110000220022000000-2-200-1-100-1-100000001010
χ2422222-12222-122-12-1-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-1-2-2111111-2-21111110000-2-200-2-200000022001100110000000-10-10
χ2522222-12-2-22-122-12-1-1-2-1-1-122-2-2-12-2-211-1-1-12-1-11-2111122-1-1-1-1-1-1-2-211111100002200-2-20000002-200-1-100110000000-1010
χ2622222-12-2-22-122-12-1-1-2-1-1-122-2-2-12-2-211-1-1-12-1-11-2111122-1-1-1-1-1-1-2-21111110000-2-20022000000-22001100-1-1000000010-10
χ2722222-12-2-22-122-12-1-1-2-1-1-1-2-222-12-2-211-1-1-12-1-11-21111-2-211111122-1-1-1-1-1-100002200-2-2000000-2200-1-10011000000010-10
χ2822222-12-2-22-122-12-1-1-2-1-1-1-2-222-12-2-211-1-1-12-1-11-21111-2-211111122-1-1-1-1-1-10000-2-200220000002-2001100-1-10000000-1010
χ292222-1222222-1-12-12-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002200220000002200-1-100-1-1000000-10-1
χ302222-1222222-1-12-12-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-2-2000000-2-200110011000000101
χ312222-1222222-1-12-12-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-111-2-2111111-2-21111000000220022000000-2-200-1-100-1-1000000101
χ322222-1222222-1-12-12-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-111-2-2111111-2-21111000000-2-200-2-20000002200110011000000-10-1
χ332222-122-2-222-1-12-12-1-2-1-1-122-2-22-111-2-2-1-12-1-1-1-211111-1-122-1-1-1-111-2-211110000002200-2-20000002-200-1-10011000000-101
χ342222-122-2-222-1-12-12-1-2-1-1-122-2-22-111-2-2-1-12-1-1-1-211111-1-122-1-1-1-111-2-21111000000-2-20022000000-22001100-1-100000010-1
χ352222-122-2-222-1-12-12-1-2-1-1-1-2-2222-111-2-2-1-12-1-1-1-21111111-2-21111-1-122-1-1-1-10000002200-2-2000000-2200-1-1001100000010-1
χ362222-122-2-222-1-12-12-1-2-1-1-1-2-2222-111-2-2-1-12-1-1-1-21111111-2-21111-1-122-1-1-1-1000000-2-200220000002-2001100-1-1000000-101
χ3722-2-222200-222-2-2-2-2202-2-2000022000022-2-2-2-2000000000000000000000022-2-22-22-200002-20000002-22-20000000000000
χ3822-2-222200-222-2-2-2-2202-2-2000022000022-2-2-2-2000000000000000000000022-2-2-22-2200002-2000000-22-220000000000000
χ3922-2-222200-222-2-2-2-2202-2-2000022000022-2-2-2-20000000000000000000000-2-2222-2-220000-220000002-2-220000000000000
χ4022-2-222200-222-2-2-2-2202-2-2000022000022-2-2-2-20000000000000000000000-2-222-222-20000-22000000-222-20000000000000
χ4122-2-222-200222-2-2-2-2202-2-20000-2-20000-2-22222000000000000000000000022-2-200002i−2i2i−2i-2200000000002i−2i2i−2i000000000
χ4222-2-222-200222-2-2-2-2202-2-20000-2-20000-2-22222000000000000000000000022-2-20000−2i2i−2i2i-220000000000−2i2i−2i2i000000000
χ4322-2-222-200222-2-2-2-2202-2-20000-2-20000-2-222220000000000000000000000-2-22200002i−2i−2i2i2-200000000002i−2i−2i2i000000000
χ4422-2-222-200222-2-2-2-2202-2-20000-2-20000-2-222220000000000000000000000-2-2220000−2i2i2i−2i2-20000000000−2i2i2i−2i000000000
χ452-22-22202i−2i0-2-2-222-220-22-22−2i2−i2002i−2i2i−2i000000002i−2i002−22−222−2−2i2−i2i2−i2i2i2−i2−i22i−2i2i−2i00000000002-20000000000000i2−i22−20000
χ462-22-22202i−2i0-2-2-222-220-22-22−2i2−i2002i−2i2i−2i000000002i−2i002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i0000000000-220000000000000−i2i2−220000
χ472-22-22202i−2i0-2-2-222-220-22-2−22−i2i2002i−2i2i−2i000000002i−2i00−22−22−2−222−i2i2−i2i2−i2−i2i2i22i−2i2i−2i00000000002-20000000000000−i2i2−220000
χ482-22-22202i−2i0-2-2-222-220-22-2−22−i2i2002i−2i2i−2i000000002i−2i00−22−22−2−222−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i0000000000-220000000000000i2−i22−20000
χ492-22-2220−2i2i0-2-2-222-220-22-22−2−i2i200−2i2i−2i2i00000000−2i2i002−22−222−2−2−i2i2−i2i2−i2−i2i2i22i−2i2i−2i0000000000-220000000000000i2−i2−220000
χ502-22-2220−2i2i0-2-2-222-220-22-22−2−i2i200−2i2i−2i2i00000000−2i2i002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i00000000002-20000000000000−i2i22−20000
χ512-22-2220−2i2i0-2-2-222-220-22-2−22i2−i200−2i2i−2i2i00000000−2i2i00−22−22−2−222i2−i2i2−i2i2i2−i2−i22i−2i2i−2i0000000000-220000000000000−i2i22−20000
χ522-22-2220−2i2i0-2-2-222-220-22-2−22i2−i200−2i2i−2i2i00000000−2i2i00−22−22−2−222i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i00000000002-20000000000000i2−i2−220000
χ5344444-2-444-4-244-24-2-2-4-2-2-200002-444-2-2222-4222-4-2-22200000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-244-24-2-24-2-2-200002-4-4-422222-422-2422-2-200000000000000000000000000000000000000000000000000000
χ554444-24-444-44-2-24-24-2-4-2-2-20000-42-2-24422-4222-42-2-22200000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-44-2-24-24-24-2-2-20000-4222-4-422-42224-222-2-200000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
χ594444-2-24-4-44-2-2-2-2-2-21-411144-4-4-2-2222211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-21-4111-4-444-2-2222211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000000
χ6544-4-44-2400-4-24-42-42-20-2220000-240000-2-22-422000000000000000000000000004-400000000000000-22000000000000000
χ6644-4-44-2400-4-24-42-42-20-2220000-240000-2-22-42200000000000000000000000000-44000000000000002-2000000000000000
χ6744-4-44-2-4004-24-42-42-20-22200002-4000022-24-2-20000000000000000000000000000004i−4i00000000000000−2i2i00000000000
χ6844-4-44-2-4004-24-42-42-20-22200002-4000022-24-2-2000000000000000000000000000000−4i4i000000000000002i−2i00000000000
χ6944-4-4-24400-44-22-42-4-20-22200004-20000-2-2-422200000000000000000000000000004-400000000000000-220000000000000
χ7044-4-4-24400-44-22-42-4-20-22200004-20000-2-2-42220000000000000000000000000000-44000000000000002-20000000000000
χ7144-4-4-24-40044-22-42-4-20-2220000-420000224-2-2-2000000000000000000000000000000004i−4i00000000000000−2i2i000000000
χ7244-4-4-24-40044-22-42-4-20-2220000-420000224-2-2-200000000000000000000000000000000−4i4i000000000000002i−2i000000000
χ734-44-44-204i−4i02-4-4-242-202-2222−222i2−2i2004i−4i−2i2i00000000−2i2i0022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ744-44-44-204i−4i02-4-4-242-202-22−2222−2i22i2004i−4i−2i2i00000000−2i2i00−22222−222−2−2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ754-44-44-20−4i4i02-4-4-242-202-2222−22−2i22i200−4i4i2i−2i000000002i−2i0022−22−22−2−222−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ764-44-44-20−4i4i02-4-4-242-202-22−22222i2−2i200−4i4i2i−2i000000002i−2i00−22222−222−2−22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ774-44-4-2404i−4i0-4224-2-4-202-2222−222i2−2i200−2i2i4i−4i00000000−2i2i00−2222−22−2−222−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ784-44-4-2404i−4i0-4224-2-4-202-22−2222−2i22i200−2i2i4i−4i00000000−2i2i002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ794-44-4-240−4i4i0-4224-2-4-202-2222−22−2i22i2002i−2i−4i4i000000002i−2i00−2222−22−2−222i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ804-44-4-240−4i4i0-4224-2-4-202-22−22222i2−2i2002i−2i−4i4i000000002i−2i002−2−222222−2−2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ814-44-4-2-204i−4i0222-2-2210-11-122−222i2−2i200−2i2i−2i2i3i−3i003i−3i00i−i3-3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ824-44-4-2-204i−4i0222-2-2210-11-122−222i2−2i200−2i2i−2i2i−3i3i00−3i3i00i−i-33−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ834-44-4-2-204i−4i0222-2-2210-11-1−2222−2i22i200−2i2i−2i2i3i−3i003i−3i00i−i3-32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ844-44-4-2-204i−4i0222-2-2210-11-1−2222−2i22i200−2i2i−2i2i−3i3i00−3i3i00i−i-332−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ854-44-4-2-20−4i4i0222-2-2210-11-122−22−2i22i2002i−2i2i−2i3i−3i003i−3i00−ii-33−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ864-44-4-2-20−4i4i0222-2-2210-11-122−22−2i22i2002i−2i2i−2i−3i3i00−3i3i00−ii3-3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ874-44-4-2-20−4i4i0222-2-2210-11-1−22222i2−2i2002i−2i2i−2i3i−3i003i−3i00−ii-332−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ884-44-4-2-20−4i4i0222-2-2210-11-1−22222i2−2i2002i−2i2i−2i−3i3i00−3i3i00−ii3-32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ894-4-44440000-4-44-4-4440-4-44000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-44440000-4-44-4-4440-4-4400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ9188-8-8-4-4800-8-4-44444202-2-20000-4-400002244-2-200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4-8008-4-44444202-2-20000440000-2-2-4-42200000000000000000000000000000000000000000000000000000000000
χ938-8-888-400004-884-8-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000-84-4-848-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000044-444-420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000044-444-420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.