Finite Group Databasebeta

← Group #11895163

Character table — Group #11895163

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242422444444888844444466121212121212448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1111111-1-111-1-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-11-111-1-111-1-11-1-1-11-11-1
χ10111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-1-1111-1-1-1-111-11111-1-11
χ11111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-111-1-1-11111-1-1-1111-111-1
χ12111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111-11-1-111-1-1111-1-1-1-11-11
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-11-1-1-1111-1-111-1-1-11-1-1-11-11
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-11-111-1-1-1-1111-111-111-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-11-11-1-11111-1-11-1111-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1111-1-1-111-1-111-11-1-11-11-1
χ1722222222-2-22222222-22220000-222-222-2-2-2-2-2-2-2-222-2-2000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-22222222-22220000-222-222-2-2-2-2-2-2-2-222-2-200000000000000000000-2-2-2-200000000000000000022000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000022-2-2000000000000000000-22000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000-2-2220000000000000000002-2000000
χ2122222-12222-122-12-1-12-1-1-122222-1-1-122-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000220200-1-1-1-100000000-1-100
χ2222222-12222-122-12-1-12-1-1-122222-1-1-122-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000-2-20-2001111000000001100
χ2322222-12222-122-12-1-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-1-12-1-1-1-1-2-2111111-2-2111111220000000000-2-20200-1-1-1-1000000001100
χ2422222-12222-122-12-1-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-1-12-1-1-1-1-2-2111111-2-2111111-2-20000000000220-200111100000000-1-100
χ2522222-1-2-222-122-12-1-1-2-1-1-122-2-2211-1-2-2-1-12-1-1-11-2111122-1-1-1-1-1-1-2-21111112200000000002-20-200-1-11100000000-1100
χ2622222-1-2-222-122-12-1-1-2-1-1-122-2-2211-1-2-2-1-12-1-1-11-2111122-1-1-1-1-1-1-2-2111111-2-20000000000-22020011-1-1000000001-100
χ2722222-1-2-222-122-12-1-1-2-1-1-1-2-222211-1-2-2-1-12-1-1-11-21111-2-211111122-1-1-1-1-1-1220000000000-220-200-1-111000000001-100
χ2822222-1-2-222-122-12-1-1-2-1-1-1-2-222211-1-2-2-1-12-1-1-11-21111-2-211111122-1-1-1-1-1-1-2-200000000002-2020011-1-100000000-1100
χ292222-1222222-1-12-12-12-1-1-12222-1222-1-1-1-1-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022000000000020220000-1-1-1-1000000-1-1
χ302222-1222222-1-12-12-12-1-1-12222-1222-1-1-1-1-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-20000000000-20-2-20000111100000011
χ312222-1222222-1-12-12-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-12-1-1-1-1-111-2-2111111-2-211110022000000000020-2-20000-1-1-1-100000011
χ322222-1222222-1-12-12-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-12-1-1-1-1-111-2-2111111-2-2111100-2-20000000000-202200001111000000-1-1
χ332222-12-2-2222-1-12-12-1-2-1-1-122-2-2-1-2-2211-1-1-12-1-1-211111-1-122-1-1-1-111-2-2111100220000000000-202-20000-1-111000000-11
χ342222-12-2-2222-1-12-12-1-2-1-1-122-2-2-1-2-2211-1-1-12-1-1-211111-1-122-1-1-1-111-2-2111100-2-2000000000020-22000011-1-10000001-1
χ352222-12-2-2222-1-12-12-1-2-1-1-1-2-222-1-2-2211-1-1-12-1-1-21111111-2-21111-1-122-1-1-1-100220000000000-20-220000-1-1110000001-1
χ362222-12-2-2222-1-12-12-1-2-1-1-1-2-222-1-2-2211-1-1-12-1-1-21111111-2-21111-1-122-1-1-1-100-2-20000000000202-2000011-1-1000000-11
χ3722-2-22200-22-22-2-2-22202-2-20000-200-200-2-2222200000000000000000000002-22i−2i00002i2i−2i−2i0000002-2002i−2i0000000000
χ3822-2-22200-22-22-2-2-22202-2-20000-200-200-2-2222200000000000000000000002-2−2i2i0000−2i−2i2i2i0000002-200−2i2i0000000000
χ3922-2-22200-22-22-2-2-22202-2-20000-200-200-2-222220000000000000000000000-222i−2i0000−2i−2i2i2i000000-22002i−2i0000000000
χ4022-2-22200-22-22-2-2-22202-2-20000-200-200-2-222220000000000000000000000-22−2i2i00002i2i−2i−2i000000-2200−2i2i0000000000
χ412-2-22222-200-2-2-222-220-22-2−i2i2−i2i202-202-2000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i200002-22-2−i2i2−i2i20000000000000000−i2i20000
χ422-2-22222-200-2-2-222-220-22-2−i2i2−i2i202-202-2000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i20000-22-22i2−i2i2−i20000000000000000i2−i20000
χ432-2-22222-200-2-2-222-220-22-2i2−i2i2−i202-202-2000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i200002-22-2i2−i2i2−i20000000000000000i2−i20000
χ442-2-22222-200-2-2-222-220-22-2i2−i2i2−i202-202-2000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i20000-22-22−i2i2−i2i20000000000000000−i2i20000
χ452-2-2222-2200-2-2-222-220-22-2−i2i2i2−i20-220-2200000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i200002-2-22−i2i2−i2i20000000000000000i2−i20000
χ462-2-2222-2200-2-2-222-220-22-2−i2i2i2−i20-220-2200000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i20000-222-2i2−i2i2−i20000000000000000−i2i20000
χ472-2-2222-2200-2-2-222-220-22-2i2−i2−i2i20-220-2200000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i200002-2-22i2−i2i2−i20000000000000000−i2i20000
χ482-2-2222-2200-2-2-222-220-22-2i2−i2−i2i20-220-2200000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i20000-222-2−i2i2−i2i20000000000000000i2−i20000
χ4944444-244-4-4-244-24-2-2-4-2-2-20000-4-2-224422-42222-4-2-22200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-244-24-2-24-2-2-20000-4222-4-422-4222-2422-2-200000000000000000000000000000000000000000000000000
χ514444-2444-4-44-2-24-24-2-4-2-2-20000244-4-2-2222-422-42-2-22200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-44-2-24-24-24-2-2-200002-4-4-422222-4224-222-2-200000000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-411100002-2-22-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-411100002-2-22-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-411144-4-4-222-22211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111-4-444-222-22211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ6144-4-444004-4-44-4-4-44404-4-4000040040044-4-4-4-400000000000000000000000000000000000000000000000000000000
χ6244-4-44-2004-424-42-4-2-20-2220000400-200-2-2-422200000000000000000000000000000000000000000023−23000000000000
χ6344-4-44-2004-424-42-4-2-20-2220000400-200-2-2-4222000000000000000000000000000000000000000000−2323000000000000
χ6444-4-44-200-4424-42-4-2-20-2220000-400200224-2-2-200000000000000000000004-40000000000000000-2200000000000000
χ6544-4-44-200-4424-42-4-2-20-2220000-400200224-2-2-20000000000000000000000-4400000000000000002-200000000000000
χ6644-4-4-24004-4-4-22-424-20-2220000-200400-2-22-4220000000000000000000000000000000000000000000000−2i32i300000000
χ6744-4-4-24004-4-4-22-424-20-2220000-200400-2-22-42200000000000000000000000000000000000000000000002i3−2i300000000
χ6844-4-4-2400-44-4-22-424-20-2220000200-40022-24-2-20000000000000000000000004i−4i000000000000000000−2i2i0000000000
χ6944-4-4-2400-44-4-22-424-20-2220000200-40022-24-2-2000000000000000000000000−4i4i0000000000000000002i−2i0000000000
χ704-44-44400004-44-4-4-440-4-44000000000000000000000000000000000000000000000022−22−22220000000000000000000000
χ714-44-44400004-44-4-4-440-4-440000000000000000000000000000000000000000000000−222222−220000000000000000000000
χ724-4-444-24-4002-4-4-242-202-22−2i22i2−2i22i20-2204-400000000-2200−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ734-4-444-24-4002-4-4-242-202-222i2−2i22i2−2i20-2204-400000000-22002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ744-4-444-2-44002-4-4-242-202-22−2i22i22i2−2i202-20-44000000002-200−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ754-4-444-2-44002-4-4-242-202-222i2−2i2−2i22i202-20-44000000002-2002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ764-4-44-244-400-4224-2-4-202-22−2i22i2−2i22i204-40-2200000000-2200i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ774-4-44-244-400-4224-2-4-202-222i2−2i22i2−2i204-40-2200000000-2200−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ784-4-44-24-4400-4224-2-4-202-22−2i22i22i2−2i20-4402-2000000002-200i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ794-4-44-24-4400-4224-2-4-202-222i2−2i2−2i22i20-4402-2000000002-200−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ804-4-44-2-24-400222-2-2210-11-1−2i22i2−2i22i20-220-223i−3i003i−3i001-13i−3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000
χ814-4-44-2-24-400222-2-2210-11-1−2i22i2−2i22i20-220-22−3i3i00−3i3i001-1−3i3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ824-4-44-2-24-400222-2-2210-11-12i2−2i22i2−2i20-220-223i−3i003i−3i001-13i−3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ834-4-44-2-24-400222-2-2210-11-12i2−2i22i2−2i20-220-22−3i3i00−3i3i001-1−3i3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ844-4-44-2-2-4400222-2-2210-11-1−2i22i22i2−2i202-202-23i−3i003i−3i00-11−3i3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ854-4-44-2-2-4400222-2-2210-11-1−2i22i22i2−2i202-202-2−3i3i00−3i3i00-113i−3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ864-4-44-2-2-4400222-2-2210-11-12i2−2i2−2i22i202-202-23i−3i003i−3i00-11−3i3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000
χ874-4-44-2-2-4400222-2-2210-11-12i2−2i2−2i22i202-202-2−3i3i00−3i3i00-113i−3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ8888-8-8-4-4008-84-4444-4202-2-20000-400-4002244-2-200000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-884-4444-4202-2-20000400400-2-2-4-42200000000000000000000000000000000000000000000000000000000
χ908-88-88-40000-4-884-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-48000084-4-84-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000-44-444420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000-44-444420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000

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