Finite Group Databasebeta

← Group #11897677

Character table — Group #11897677

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222244444444444444444888888888888888888888888121212122424242424242424242424242424363636363636363648484848
order12223344446666663466612121212121212121212121288121212121212242424242424242424242424242424242244444444661212121212124444888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111-1-1111111111-11111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11-111-1-111-1-11-11-111-1-11-11-1
χ10111111-1-1111111111-11111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-1111-1-1-1-111-11-11-1-1111-1-11
χ11111111-1-1111111111-11111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-11-1-1-11111-1-1-11-11-1-111-111-1
χ12111111-1-1111111111-11111-1-11-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-111-1-1111-11-111-1-1-11-11
χ13111111-1-1111111111-11111-1-11-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1111-1-111-1-1-11-1111-1-1-11-11
χ14111111-1-1111111111-11111-1-11-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-111-1-1-1-1111-11-1-1-111-111-1
χ15111111-1-1111111111-11111-1-11-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-11-1-11111-1-11-11-1-1-1111-1-11
χ16111111-1-1111111111-11111-1-11-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-1-111-1-111-11-1111-1-11-11-1
χ1722222222-2-22222222-2222-222-222-2-2-2-2-2-200-2-222-2-2000000000000000000000000000000000022-2-200000000
χ1822222222-2-22222222-2222-222-222-2-2-2-2-2-200-2-222-2-20000000000000000000000000000000000-2-22200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-22200000000000000000000000000000000002-2-2200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-2220000000000000000000000000000000000-222-200000000
χ2122222-122222-12-1-12-12-1-1-1-1222-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200222000-1-1-1-1000000000000-1-100
χ2222222-122222-12-1-12-12-1-1-1-1222-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2-200011110000000000001100
χ2322222-122222-12-1-12-12-1-1-1-1222-1-1-1-1-12-1-1-2-2-12-1-1-1-1-2-2111111-2-211111122002-2-2000-1-1-1-10000000000001100
χ2422222-122222-12-1-12-12-1-1-1-1222-1-1-1-1-12-1-1-2-2-12-1-1-1-1-2-2111111-2-2111111-2-200-2220001111000000000000-1-100
χ2522222-1-2-2222-12-1-12-1-2-1-1-1-1-2-2211-1-1-12-1-12-21-2111122-1-1-1-1-1-1-2-21111112200-22-2000-1-111000000000000-1100
χ2622222-1-2-2222-12-1-12-1-2-1-1-1-1-2-2211-1-1-12-1-12-21-2111122-1-1-1-1-1-1-2-2111111-2-2002-2200011-1-10000000000001-100
χ2722222-1-2-2222-12-1-12-1-2-1-1-1-1-2-2211-1-1-12-1-1-221-21111-2-211111122-1-1-1-1-1-12200-2-22000-1-1110000000000001-100
χ2822222-1-2-2222-12-1-12-1-2-1-1-1-1-2-2211-1-1-12-1-1-221-21111-2-211111122-1-1-1-1-1-1-2-20022-200011-1-1000000000000-1100
χ292222-122222-12-122-1-12-1-1-12-1-1-122-1-12-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100220002220000-1-1-1-10000000000-1-1
χ302222-122222-12-122-1-12-1-1-12-1-1-122-1-12-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000-2-2-200001111000000000011
χ312222-122222-12-122-1-12-1-1-12-1-1-122-1-12-1-1-1-2-22-1-1-1-1-111-2-2111111-2-2111100220002-2-20000-1-1-1-1000000000011
χ322222-122222-12-122-1-12-1-1-12-1-1-122-1-12-1-1-1-2-22-1-1-1-1-111-2-2111111-2-2111100-2-2000-222000011110000000000-1-1
χ332222-12-2-222-12-122-1-1-2-1-1-1211-1-2-2-1-12-1-1-12-2-211111-1-122-1-1-1-111-2-211110022000-22-20000-1-1110000000000-11
χ342222-12-2-222-12-122-1-1-2-1-1-1211-1-2-2-1-12-1-1-12-2-211111-1-122-1-1-1-111-2-2111100-2-20002-22000011-1-100000000001-1
χ352222-12-2-222-12-122-1-1-2-1-1-1211-1-2-2-1-12-1-1-1-22-21111111-2-21111-1-122-1-1-1-10022000-2-220000-1-11100000000001-1
χ362222-12-2-222-12-122-1-1-2-1-1-1211-1-2-2-1-12-1-1-1-22-21111111-2-21111-1-122-1-1-1-100-2-200022-2000011-1-10000000000-11
χ3722-2-222002-2-222-2-2-2202-2-220020022-2-2-2-20000000000000000000000002-22-20000002-2002-20000002-2000000
χ3822-2-222002-2-222-2-2-2202-2-220020022-2-2-2-20000000000000000000000002-2-220000002-200-22000000-22000000
χ3922-2-222002-2-222-2-2-2202-2-220020022-2-2-2-2000000000000000000000000-222-2000000-22002-2000000-22000000
χ4022-2-222002-2-222-2-2-2202-2-220020022-2-2-2-2000000000000000000000000-22-22000000-2200-220000002-2000000
χ4144444-244-4-44-24-2-24-2-4-2-2-2244-4-2-2222-422002-4-2-2220000000000000000000000000000000000000000000000
χ4244444-2-4-4-4-44-24-2-24-24-2-2-22-4-4-422222-42200-2422-2-20000000000000000000000000000000000000000000000
χ434444-2444-4-4-24-244-2-2-4-2-2-2-4-2-224422-422200-42-2-2220000000000000000000000000000000000000000000000
χ444444-24-4-4-4-4-24-244-2-24-2-2-2-4222-4-422-4222004-222-2-20000000000000000000000000000000000000000000000
χ454444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-211-2-21144-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ464444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-211-2-211-4-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ474444-2-244-4-4-2-2-2-2-2-21-41112-2-22-2-2-1-122-1-1002211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ484444-2-244-4-4-2-2-2-2-2-21-41112-2-22-2-2-1-122-1-1002211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ494444-2-2-4-444-2-2-2-2-2-21-4111-222-22211-2-2114-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ504444-2-2-4-444-2-2-2-2-2-21-4111-222-22211-2-211-4422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ514444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-122-1-100-2-2-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-122-1-100-2-2-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ5344-4-44400-44-444-4-4-4404-4-4-400-400-4-44444000000000000000000000000000000000000000000000000000000
χ5444-4-44-2004-4-4-2422-4-20-222-200400-2-22-4220000000000000000000000004-400000000-22000000000000000000
χ5544-4-44-2004-4-4-2422-4-20-222-200400-2-22-422000000000000000000000000-44000000002-2000000000000000000
χ5644-4-44-200-44-4-2422-4-20-222200-40022-24-2-200000000000000000000000000000000000023−230000000000000000
χ5744-4-44-200-44-4-2422-4-20-222200-40022-24-2-2000000000000000000000000000000000000−23230000000000000000
χ5844-4-4-24004-424-2-4-42-20-222400-200-2-2-4222000000000000000000000000004-40000000000-2200000000000000
χ5944-4-4-24004-424-2-4-42-20-222400-200-2-2-422200000000000000000000000000-4400000000002-200000000000000
χ6044-4-4-2400-4424-2-4-42-20-222-400200224-2-2-2000000000000000000000000000000000000000023−23000000000000
χ6144-4-4-2400-4424-2-4-42-20-222-400200224-2-2-20000000000000000000000000000000000000000−2323000000000000
χ624-44-4444-4004-4-44-4-440-44-404-404-400000000004-4000000000000000000000000000000000000000000000000
χ634-44-444-44004-4-44-4-440-44-40-440-440000000000-44000000000000000000000000000000000000000000000000
χ644-44-44-24-40042-4-22-4-202-2204-40-220000000000-2200006−66−66−6006−66−66−6000000000000000000000000000000
χ654-44-44-24-40042-4-22-4-202-2204-40-220000000000-220000−66−66−6600−66−66−66000000000000000000000000000000
χ664-44-44-2-440042-4-22-4-202-220-4402-200000000002-200006−66−66−600−66−66−66000000000000000000000000000000
χ674-44-44-2-440042-4-22-4-202-220-4402-200000000002-20000−66−66−66006−66−66−6000000000000000000000000000000
χ684-44-4-244-400-2-424-42-202-220-2204-40000000000-2200i6−i600i6−i6−i6i6i6−i600i6−i6−i6i6000000000000000000000000000000
χ694-44-4-244-400-2-424-42-202-220-2204-40000000000-2200−i6i600−i6i6i6−i6−i6i600−i6i6i6−i6000000000000000000000000000000
χ704-44-4-24-4400-2-424-42-202-2202-20-4400000000002-200i6−i600i6−i6−i6i6−i6i600−i6i6i6−i6000000000000000000000000000000
χ714-44-4-24-4400-2-424-42-202-2202-20-4400000000002-200−i6i600−i6i6i6−i6i6−i600i6−i6−i6i6000000000000000000000000000000
χ724-44-4-2-24-400-222-22210-11-10-220-223i−3i003i−3i00001-13i−3ii6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ734-44-4-2-24-400-222-22210-11-10-220-223i−3i003i−3i00001-13i−3i−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ744-44-4-2-24-400-222-22210-11-10-220-22−3i3i00−3i3i00001-1−3i3ii6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ754-44-4-2-24-400-222-22210-11-10-220-22−3i3i00−3i3i00001-1−3i3i−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ764-44-4-2-2-4400-222-22210-11-102-202-23i−3i003i−3i0000-11−3i3ii6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ774-44-4-2-2-4400-222-22210-11-102-202-23i−3i003i−3i0000-11−3i3i−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ784-44-4-2-2-4400-222-22210-11-102-202-2−3i3i00−3i3i0000-113i−3ii6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ794-44-4-2-2-4400-222-22210-11-102-202-2−3i3i00−3i3i0000-113i−3i−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ804-4-44440000-4-4-4-44440-4-4400000000000000000000000000000000000000000000000000000000000022−220000
χ814-4-44440000-4-4-4-44440-4-44000000000000000000000000000000000000000000000000000000000000−22220000
χ8288-8-8-4-4008-84-4-4444202-2-2-400-4002244-2-2000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-884-4-4444202-2-2400400-2-2-4-422000000000000000000000000000000000000000000000000000000
χ848-8-888-40000-84-84-48-4044-4000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800004-84-88-4-4044-4000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400004444-4-420-2-220000006i−6i00−6i6i000000000000000000000000000000000000000000000000000000
χ878-8-88-4-400004444-4-420-2-22000000−6i6i006i−6i000000000000000000000000000000000000000000000000000000

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