Finite Group Databasebeta

← Group #11794280

Character table — Group #11794280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666661212121236666666121212121212121212124466121212121212121212121212121212121212444412121212121212124488881212121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-1-11
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000000000000000000000000000000002-20
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000000000000000000000000000000000000-220
χ112222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220022-1-1-1-10000-1-1-1-10000
χ122222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-21111000011110000
χ132222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111-1-1111111110000000000002200-2-2-1-1-1-1000011110000
χ142222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111-1-111111111000000000000-2-2002211110000-1-1-1-10000
χ15222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-100000000
χ16222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-2000000111100000000
χ17222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-2-2-1-11111-2-2-2-2-1-1111111112222-1-1-1-1-1-1-1-100-2-2000000111100000000
χ18222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-2-2-1-11111-2-2-2-2-1-111111111-2-2-2-2111111110022000000-1-1-1-100000000
χ192222-2-2222-22-222222222222-2-2-2222-2-2-222-22222-200-2-200000000-2-200000000000000000000000000000000000000200-2
χ202222-2-2222-22-222222222222-2-2-2222-2-2-222-22222-200-2-200000000-2-200000000000000000000000000000000000000-2002
χ212222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-22-2-2-2-222-2-2-222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000
χ222222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-22-2-2-2-22-22-2-2-2-22222-2-222-2-2-2-222220000000000000000000000000000000000
χ232222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-11111-12-21122-2-211-1-1-1-1-1-1-1-11111000000000000000000−i3−i3i3i30000−i3−i3i3i30000
χ242222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-11111-12-21122-2-211-1-1-1-1-1-1-1-11111000000000000000000i3i3−i3−i30000i3i3−i3−i30000
χ252222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-11111-1-2211-2-222-1-111-1-11111-1-1-1-1000000000000000000−i3−i3i3i30000i3i3−i3−i30000
χ262222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-11111-1-2211-2-222-1-111-1-11111-1-1-1-1000000000000000000i3i3−i3−i30000−i3−i3i3i30000
χ272222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-22111122-211-1-111-2-222-1-1-1-1-1-1111100003333−3−3−3−3000000000033−3−300000000
χ282222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-22111122-211-1-111-2-222-1-1-1-1-1-111110000−3−3−3−333330000000000−3−33300000000
χ292222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-2211112-221111-1-122-2-2-1-11111-1-1-1-100003333−3−3−3−30000000000−3−33300000000
χ302222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-2211112-221111-1-122-2-2-1-11111-1-1-1-10000−3−3−3−33333000000000033−3−300000000
χ3122-2-22-2222-2-222-2-22-2-222-2-2222-22-2-2-22-22-2-222-2-22002-2000000002-20000000000000000000000002-2000000002-22-20000
χ3222-2-22-2222-2-222-2-22-2-222-2-2222-22-2-2-22-22-2-222-2-22002-2000000002-2000000000000000000000000-2200000000-22-220000
χ3322-2-22-222-222-22-2-22-2-2-2-222222-22-2-2-2-22-222-2-222-2002-200000000-2200000000000000000000002-20000002-22-200000000
χ3422-2-22-222-222-22-2-22-2-2-2-222222-22-2-2-2-22-222-2-222-2002-200000000-220000000000000000000000-22000000-22-2200000000
χ3522-2-22-22-12-2-222-2-2-11122-2-2-12-11-111-22-2-111-1-111-100-1100003−33−3-1133−3−333−3−300000000000000002-23−33−30000-11-110000
χ3622-2-22-22-12-2-222-2-2-11122-2-2-12-11-111-22-2-111-1-111-100-1100003−33−3-1133−3−333−3−30000000000000000-22−33−3300001-11-10000
χ3722-2-22-22-12-2-222-2-2-11122-2-2-12-11-111-22-2-111-1-111-100-110000−33−33-11−3−333−3−33300000000000000002-2−33−330000-11-110000
χ3822-2-22-22-12-2-222-2-2-11122-2-2-12-11-111-22-2-111-1-111-100-110000−33−33-11−3−333−3−3330000000000000000-223−33−300001-11-10000
χ3922-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22211-1-1-200-113−33−300001-13−33−33−33−3000033−3−333−3−3002-2000000-11-1100000000
χ4022-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22211-1-1-200-113−33−300001-13−33−33−33−30000−3−333−3−33300-220000001-11-100000000
χ4122-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22211-1-1-200-11−33−3300001-1−33−33−33−33000033−3−333−3−300-220000001-11-100000000
χ4222-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22211-1-1-200-11−33−3300001-1−33−33−33−330000−3−333−3−333002-2000000-11-1100000000
χ4322-2-2-222222-2-22-2-22-2-222-2-22-2-222-2-22-222-2222-2-2-200-2200000000-220000000022-2-222-2-2-2-2220000000000000000000000
χ4422-2-2-222222-2-22-2-22-2-222-2-22-2-222-2-22-222-2222-2-2-200-2200000000-2200000000-2-222-2-22222-2-20000000000000000000000
χ4522-2-2-2222-2-2222-2-22-2-2-2-2222-2-222-2-222-2-22-2-2-222200-22000000002-2000000000000000000002i−2i00002i−2i−2i2i000000000000
χ4622-2-2-2222-2-2222-2-22-2-2-2-2222-2-222-2-222-2-22-2-2-222200-22000000002-200000000000000000000−2i2i0000−2i2i2i−2i000000000000
χ4722-2-2-222-1-2-2222-2-2-111-2-222-1-21-1-11122-21-1111-1-1-1001-100003−3−33-11−3−33333−3−30000000000002i−2i0000−iii−i0000i3−i3−i3i30000
χ4822-2-2-222-1-2-2222-2-2-111-2-222-1-21-1-11122-21-1111-1-1-1001-100003−3−33-11−3−33333−3−3000000000000−2i2i0000i−i−ii0000−i3i3i3−i30000
χ4922-2-2-222-1-2-2222-2-2-111-2-222-1-21-1-11122-21-1111-1-1-1001-10000−333−3-1133−3−3−3−3330000000000002i−2i0000−iii−i0000−i3i3i3−i30000
χ5022-2-2-222-1-2-2222-2-2-111-2-222-1-21-1-11122-21-1111-1-1-1001-10000−333−3-1133−3−3−3−333000000000000−2i2i0000i−i−ii0000i3−i3−i3i30000
χ5122-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-22-1-111-2001-13−3−3300001-13−33−3−33−3322-2-2-1-11111-1-10000000000−333−300000000
χ5222-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-22-1-111-2001-13−3−3300001-13−33−3−33−33-2-22211-1-1-1-11100000000003−3−3300000000
χ5322-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-22-1-111-2001-1−333−300001-1−33−333−33−322-2-2-1-11111-1-100000000003−3−3300000000
χ5422-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-22-1-111-2001-1−333−300001-1−33−333−33−3-2-22211-1-1-1-1110000000000−333−300000000
χ554444444-2-4-4-4-4444-2-2-2-4-4-4-4-24-2-2-2-2-24-4-42222222200-2-20000000022000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-2-24442222-2-244-2-2-2-222-4-4-42222-400-2-20000000022000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-21111-24411-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-21111-2-4-4112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-1-1-12001100000000-1-13-3-333-3-330000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-1-1-12001100000000-1-1-333-3-333-30000000000000000000000000000000000
χ614444-4-44-24-44-4444-2-2-24444-2-422-2-2-2-4-4-4-2-22-2-2-2-2200220000000022000000000000000000000000000000000000000000
χ624444-4-4-244-44-4-2-2-2444-2-2-2-2-22-4-4-2-2-222244-4-2-2-2-2-400220000000022000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-221111200-1-100000000-1-13-3-33-333-30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-221111200-1-100000000-1-1-333-33-3-330000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-1-1-1-1-24-4-1-1-2-22222-2-2111111-1-1-1-10000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-1-1-1-1-2-44-1-122-2-2-2-22211-1-1-1-111110000000000000000000000000000000000
χ6744-4-44-44-2-444-44-4-4-222-4-444-24-22-222-4-442-2-222-2-2200-22000000002-2000000000000000000000000000000000000000000
χ6844-4-44-4-244-4-44-2224-4-4-2-222-2-24-4-2222-224-4-4-2-222400-2200000000-22000000000000000000000000000000000000000000
χ6944-4-44-4-2-24-4-44-222-222-2-2221-2-221-1-12-22-22211-1-1-2001-1000023−2323−231-1−3−333−3−3330000000000000000000000000000000000
χ7044-4-44-4-2-24-4-44-222-222-2-2221-2-221-1-12-22-22211-1-1-2001-10000−2323−23231-133−3−333−3−30000000000000000000000000000000000
χ7144-4-44-4-2-2-444-4-222-22222-2-21-2-221-1-122-22-2-2-1-1112001-123−2323−230000-11−33−33−33−330000000000000000000000000000000000
χ7244-4-44-4-2-2-444-4-222-22222-2-21-2-221-1-122-22-2-2-1-1112001-1−2323−23230000-113−33−33−33−30000000000000000000000000000000000
χ7344-4-4-444-244-4-44-4-4-22244-4-4-2-42-2-2224-44-22-2-2-2222002-2000000002-2000000000000000000000000000000000000000000
χ7444-4-4-44-24-4-444-2224-4-422-2-2-22-44-222-2-22-44-422-2-24002-200000000-22000000000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-4-222-222-2-222122-21-1-1-22-2-22-211-1-1200-1123−23−23230000-11−33−333−33−30000000000000000000000000000000000
χ7644-4-4-44-2-244-4-4-222-222-2-222122-21-1-1-22-2-22-211-1-1200-11−232323−230000-113−33−3−33−330000000000000000000000000000000000
χ7744-4-4-44-2-2-4-444-222-22222-2-2122-21-1-1-2-222-22-1-111-200-11000023−23−23231-133−3−3−3−3330000000000000000000000000000000000
χ7844-4-4-44-2-2-4-444-222-22222-2-2122-21-1-1-2-222-22-1-111-200-110000−232323−231-1−3−33333−3−30000000000000000000000000000000000
χ794-44-400440000-44-4-4-4400004000-44-40000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-400440000-44-4-4-4400004000-44-4000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-400-2400002-22-4-4423−2323−23-20002-2200000023−2323−23000000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ824-44-400-2400002-22-4-4423−2323−23-20002-2200000023−2323−2300000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ834-44-400-2400002-22-4-44−2323−2323-20002-22000000−2323−2323000000000000000000000002i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ844-44-400-2400002-22-4-44−2323−2323-20002-22000000−2323−232300000000000000000000000−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ854-4-4400440000-4-44-44-400004000-4-440000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ864-4-4400440000-4-44-44-400004000-4-44000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ874-4-4400-24000022-2-44-423−23−2323-200022-200000023−23−2323000000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ884-4-4400-24000022-2-44-423−23−2323-200022-200000023−23−232300000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ894-4-4400-24000022-2-44-4−232323−23-200022-2000000−232323−23000000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ904-4-4400-24000022-2-44-4−232323−23-200022-2000000−232323−2300000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ918-88-8008-40000-88-844-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-400004-4444-443−4343−432000-22-2000000−2323−2323000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-400004-4444-4−4343−43432000-22-200000023−2323−23000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-8-884-440000-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-44-4443−43−43432000-2-22000000−232323−23000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-44-44−434343−432000-2-2200000023−23−2323000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.