Finite Group Databasebeta

← Group #11895779

Character table — Group #11895779

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222244444444444444444888888888888888888888888121212122424242424242424242424242424363636363636363648484848
order1222334444666666346661212121212121212121212128812121212121224242424242424242424242424242424224422244466661212121244448888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-11-1-1-111-1-11111-1-111-1-11-11-1
χ10111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-1-111111-1-1-1-1-1-111-1-1111-1-11
χ11111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-111-1-1-1-1-11111-1-111-1-111-111-1
χ12111111-1-1111111111-111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-111-1-111-1-111-1-1-11-11
χ13111111-1-1111111111-111111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-11-1-111-1-111-1-11111-1-1-11-11
χ14111111-1-1111111111-111111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-11-11111-1-1-1-111-1-1-1-111-111-1
χ15111111-1-1111111111-111111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11-11-1-1-1-1111111-1-1-1-1111-1-11
χ16111111-1-1111111111-111111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1111-111-1-111-1-1-1-11111-1-11-11-1
χ1722222222-2-22222222-2222-2-22222-2-2-2-2-2-200-2-222-2-200000000000000000000000000000000002-22-200000000
χ1822222222-2-22222222-2222-2-22222-2-2-2-2-2-200-2-222-2-20000000000000000000000000000000000-22-2200000000
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
χ2122222-122222-1-12-12-12-1-1-12-122-1-1-1-12-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220022020000-1-1-1-10000000000-1-100
χ2222222-122222-1-12-12-12-1-1-12-122-1-1-1-12-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-20-20000111100000000001100
χ2322222-122222-1-12-12-12-1-1-12-122-1-1-1-12-1-1-1-2-2-12-1-1-1-1-2-2111111-2-21111112200-2-2020000-1-1-1-100000000001100
χ2422222-122222-1-12-12-12-1-1-12-122-1-1-1-12-1-1-1-2-2-12-1-1-1-1-2-2111111-2-2111111-2-200220-2000011110000000000-1-100
χ2522222-1-2-2222-1-12-12-1-2-1-1-12-1-2-211-1-12-1-1-12-21-2111122-1-1-1-1-1-1-2-211111122002-20-20000-1-1110000000000-1100
χ2622222-1-2-2222-1-12-12-1-2-1-1-12-1-2-211-1-12-1-1-12-21-2111122-1-1-1-1-1-1-2-2111111-2-200-2202000011-1-100000000001-100
χ2722222-1-2-2222-1-12-12-1-2-1-1-12-1-2-211-1-12-1-1-1-221-21111-2-211111122-1-1-1-1-1-12200-220-20000-1-11100000000001-100
χ2822222-1-2-2222-1-12-12-1-2-1-1-12-1-2-211-1-12-1-1-1-221-21111-2-211111122-1-1-1-1-1-1-2-2002-202000011-1-10000000000-1100
χ292222-122222-122-12-1-12-1-1-1-12-1-122-1-1-12-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022002022-1-10000-1-10000000000-1-1
χ302222-122222-122-12-1-12-1-1-1-12-1-122-1-1-12-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-20-2-211000011000000000011
χ312222-122222-122-12-1-12-1-1-1-12-1-122-1-1-12-1-1-2-22-1-1-1-1-111-2-2111111-2-2111100220020-2-2-1-10000-1-1000000000011
χ322222-122222-122-12-1-12-1-1-1-12-1-122-1-1-12-1-1-2-22-1-1-1-1-111-2-2111111-2-2111100-2-200-2022110000110000000000-1-1
χ332222-12-2-222-122-12-1-1-2-1-1-1-1211-2-2-1-1-12-1-12-2-211111-1-122-1-1-1-111-2-21111002200-202-2110000-1-10000000000-11
χ342222-12-2-222-122-12-1-1-2-1-1-1-1211-2-2-1-1-12-1-12-2-211111-1-122-1-1-1-111-2-2111100-2-20020-22-1-100001100000000001-1
χ352222-12-2-222-122-12-1-1-2-1-1-1-1211-2-2-1-1-12-1-1-22-21111111-2-21111-1-122-1-1-1-1002200-20-22110000-1-100000000001-1
χ362222-12-2-222-122-12-1-1-2-1-1-1-1211-2-2-1-1-12-1-1-22-21111111-2-21111-1-122-1-1-1-100-2-200202-2-1-10000110000000000-11
χ3722-2-22200-2222-2-2-2-2202-2-2-2-20000-2-222220000000000000000000000002-22i−2i000000002-2002i−2i00002i−2i000000
χ3822-2-22200-2222-2-2-2-2202-2-2-2-20000-2-222220000000000000000000000002-2−2i2i000000002-200−2i2i0000−2i2i000000
χ3922-2-22200-2222-2-2-2-2202-2-2-2-20000-2-22222000000000000000000000000-222i−2i00000000-22002i−2i0000−2i2i000000
χ4022-2-22200-2222-2-2-2-2202-2-2-2-20000-2-22222000000000000000000000000-22−2i2i00000000-2200−2i2i00002i−2i000000
χ4144444-244-4-44-2-24-24-2-4-2-2-2-4244-2-222-4222002-4-2-2220000000000000000000000000000000000000000000000
χ4244444-2-4-4-4-44-2-24-24-24-2-2-2-42-4-42222-422200-2422-2-20000000000000000000000000000000000000000000000
χ434444-2444-4-4-244-24-2-2-4-2-2-22-4-2-244222-42200-42-2-2220000000000000000000000000000000000000000000000
χ444444-24-4-4-4-4-244-24-2-24-2-2-22-422-4-4222-422004-222-2-20000000000000000000000000000000000000000000000
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
χ474444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-2-1-122-1-1002211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ484444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-2-1-122-1-1002211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ494444-2-2-4-444-2-2-2-2-2-21-4111-2-2222211-2-2114-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ504444-2-2-4-444-2-2-2-2-2-21-4111-2-2222211-2-211-4422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
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
χ5344-4-444004-444-4-4-4-4404-4-444000044-4-4-4-4000000000000000000000000000000000000000000000000000000
χ5444-4-44-2004-44-22-42-4-20-2224-20000-2-2-42220000000000000000000000000000000000000023−2300000000000000
χ5544-4-44-2004-44-22-42-4-20-2224-20000-2-2-422200000000000000000000000000000000000000−232300000000000000
χ5644-4-44-200-444-22-42-4-20-222-420000224-2-2-20000000000000000000000004-40000000000-220000000000000000
χ5744-4-44-200-444-22-42-4-20-222-420000224-2-2-2000000000000000000000000-4400000000002-20000000000000000
χ5844-4-4-24004-4-24-42-42-20-222-240000-2-22-4220000000000000000000000000000000000−2i32i3000000000000000000
χ5944-4-4-24004-4-24-42-42-20-222-240000-2-22-42200000000000000000000000000000000002i3−2i3000000000000000000
χ6044-4-4-2400-44-24-42-42-20-2222-4000022-24-2-2000000000000000000000000004i−4i000000000000−2i2i000000000000
χ6144-4-4-2400-44-24-42-42-20-2222-4000022-24-2-200000000000000000000000000−4i4i0000000000002i−2i000000000000
χ624-44-4440000-4-44-4-4440-44-400000000000000000000000000000000000000000000000000000000000022−220000
χ634-44-4440000-4-44-4-4440-44-4000000000000000000000000000000000000000000000000000000000000−22220000
χ644-4-44444-400-4-4-444-440-4-44004-44-400000000004-4000000000000000000000000000000000000000000000000
χ654-4-4444-4400-4-4-444-440-4-4400-44-440000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-24-400-4224-2-4-2022-2004-4-220000000000-220000i6−i6i6−i6i6−i600i6−i6i6−i6i6−i6000000000000000000000000000000
χ674-4-444-24-400-4224-2-4-2022-2004-4-220000000000-220000−i6i6−i6i6−i6i600−i6i6−i6i6−i6i6000000000000000000000000000000
χ684-4-444-2-4400-4224-2-4-2022-200-442-200000000002-20000i6−i6i6−i6i6−i600−i6i6−i6i6−i6i6000000000000000000000000000000
χ694-4-444-2-4400-4224-2-4-2022-200-442-200000000002-20000−i6i6−i6i6−i6i600i6−i6i6−i6i6−i6000000000000000000000000000000
χ704-4-44-244-4002-4-4-242-2022-200-224-40000000000-22006−6006−6−666−6006−6−66000000000000000000000000000000
χ714-4-44-244-4002-4-4-242-2022-200-224-40000000000-2200−6600−666−6−6600−666−6000000000000000000000000000000
χ724-4-44-24-44002-4-4-242-2022-2002-2-4400000000002-2006−6006−6−66−6600−666−6000000000000000000000000000000
χ734-4-44-24-44002-4-4-242-2022-2002-2-4400000000002-200−6600−666−66−6006−6−66000000000000000000000000000000
χ744-4-44-2-24-400222-2-2210-1-1100-22-223i−3i003i−3i00001-13i−3i6−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ754-4-44-2-24-400222-2-2210-1-1100-22-223i−3i003i−3i00001-13i−3i−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ764-4-44-2-24-400222-2-2210-1-1100-22-22−3i3i00−3i3i00001-1−3i3i6−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ136−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ774-4-44-2-24-400222-2-2210-1-1100-22-22−3i3i00−3i3i00001-1−3i3i−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ784-4-44-2-2-4400222-2-2210-1-11002-22-23i−3i003i−3i0000-11−3i3i6−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ794-4-44-2-2-4400222-2-2210-1-11002-22-23i−3i003i−3i0000-11−3i3i−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ804-4-44-2-2-4400222-2-2210-1-11002-22-2−3i3i00−3i3i0000-113i−3i6−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ814-4-44-2-2-4400222-2-2210-1-11002-22-2−3i3i00−3i3i0000-113i−3i−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ136−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ8288-8-8-4-4008-8-4-44444202-2-2-4-400002244-2-2000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-88-4-44444202-2-2440000-2-2-4-422000000000000000000000000000000000000000000000000000000
χ848-88-88-40000-84-4-848-404-44000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4800004-884-8-4-404-44000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4000044-444-420-22-20000006i−6i00−6i6i000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4000044-444-420-22-2000000−6i6i006i−6i000000000000000000000000000000000000000000000000000000

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