Finite Group Databasebeta

← Group #11887564

Character table — Group #11887564

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242444442222888824444466121212121212448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-1111111-1-111-1-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-11-11-1-1-11111-1-11-1-1-11-11-1
χ10111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-111-1-1-111-1-111-11111-1-11
χ11111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-1-1111-1-111-1-1-1111-111-1
χ12111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1111-1-1-1-1111-1-1-1-11-11
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-11-11-1-11111-1-1-11-1-1-11-11
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-11-1-111-1-1111-111-111-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-111-111-1-111-1-11-1111-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-11-111-1-1-1-111-11-1-11-11-1
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
χ2122222-12222-122-12-1-12-1-1-122222-1-1-122-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000200022-1-1-1-100000000-1-100
χ2222222-12222-122-12-1-12-1-1-122222-1-1-122-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000-2000-2-21111000000001100
χ2322222-12222-122-12-1-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-1-12-1-1-1-1-2-2111111-2-21111112200000000002000-2-2-1-1-1-1000000001100
χ2422222-12222-122-12-1-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-1-12-1-1-1-1-2-2111111-2-2111111-2-20000000000-200022111100000000-1-100
χ2522222-1-2-222-122-12-1-1-2-1-1-122-2-2211-1-2-2-1-12-1-1-11-2111122-1-1-1-1-1-1-2-2111111220000000000-20002-211-1-100000000-1100
χ2622222-1-2-222-122-12-1-1-2-1-1-122-2-2211-1-2-2-1-12-1-1-11-2111122-1-1-1-1-1-1-2-2111111-2-200000000002000-22-1-111000000001-100
χ2722222-1-2-222-122-12-1-1-2-1-1-1-2-222211-1-2-2-1-12-1-1-11-21111-2-211111122-1-1-1-1-1-1220000000000-2000-2211-1-1000000001-100
χ2822222-1-2-222-122-12-1-1-2-1-1-1-2-222211-1-2-2-1-12-1-1-11-21111-2-211111122-1-1-1-1-1-1-2-2000000000020002-2-1-11100000000-1100
χ292222-1222222-1-12-12-12-1-1-12222-1222-1-1-1-1-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022000000000222000000-1-1-1-1000000-1-1
χ302222-1222222-1-12-12-12-1-1-12222-1222-1-1-1-1-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000000000-2-2-2000000111100000011
χ312222-1222222-1-12-12-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-12-1-1-1-1-111-2-2111111-2-2111100220000000002-2-2000000-1-1-1-100000011
χ322222-1222222-1-12-12-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-12-1-1-1-1-111-2-2111111-2-2111100-2-2000000000-2220000001111000000-1-1
χ332222-12-2-2222-1-12-12-1-2-1-1-122-2-2-1-2-2211-1-1-12-1-1-211111-1-122-1-1-1-111-2-211110022000000000-22-2000000-1-111000000-11
χ342222-12-2-2222-1-12-12-1-2-1-1-122-2-2-1-2-2211-1-1-12-1-1-211111-1-122-1-1-1-111-2-2111100-2-20000000002-2200000011-1-10000001-1
χ352222-12-2-2222-1-12-12-1-2-1-1-1-2-222-1-2-2211-1-1-12-1-1-21111111-2-21111-1-122-1-1-1-10022000000000-2-22000000-1-1110000001-1
χ362222-12-2-2222-1-12-12-1-2-1-1-1-2-222-1-2-2211-1-1-12-1-1-21111111-2-21111-1-122-1-1-1-100-2-200000000022-200000011-1-1000000-11
χ372-22-2222-200-2-2-222-2202-2-2−i2i2−i2i202-202-2000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i200002-22-2−i2−i2i2i20000000000000000−i2i20000
χ382-22-2222-200-2-2-222-2202-2-2−i2i2−i2i202-202-2000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i20000-22-22i2i2−i2−i20000000000000000i2−i20000
χ392-22-2222-200-2-2-222-2202-2-2i2−i2i2−i202-202-2000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i200002-22-2i2i2−i2−i20000000000000000i2−i20000
χ402-22-2222-200-2-2-222-2202-2-2i2−i2i2−i202-202-2000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i20000-22-22−i2−i2i2i20000000000000000−i2i20000
χ412-22-222-2200-2-2-222-2202-2-2−i2i2i2−i20-220-2200000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i200002-2-22−i2−i2i2i20000000000000000i2−i20000
χ422-22-222-2200-2-2-222-2202-2-2−i2i2i2−i20-220-2200000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i20000-222-2i2i2−i2−i20000000000000000−i2i20000
χ432-22-222-2200-2-2-222-2202-2-2i2−i2−i2i20-220-2200000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i200002-2-22i2i2−i2−i20000000000000000−i2i20000
χ442-22-222-2200-2-2-222-2202-2-2i2−i2−i2i20-220-2200000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i20000-222-2−i2−i2i2i20000000000000000i2−i20000
χ452-2-2222002-2-22-2-2-2220-22-2000020020022-2-2-2-200000000000000000000002i−2i2-200002i−2i2i−2i000000002i−2i2-20000000000
χ462-2-2222002-2-22-2-2-2220-22-2000020020022-2-2-2-200000000000000000000002i−2i-220000−2i2i−2i2i000000002i−2i-220000000000
χ472-2-2222002-2-22-2-2-2220-22-2000020020022-2-2-2-20000000000000000000000−2i2i2-20000−2i2i−2i2i00000000−2i2i2-20000000000
χ482-2-2222002-2-22-2-2-2220-22-2000020020022-2-2-2-20000000000000000000000−2i2i-2200002i−2i2i−2i00000000−2i2i-220000000000
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
χ6144-4-44400004-44-4-4-440-4-44000000000000000000000000000000000000000000000022−22−22220000000000000000000000
χ6244-4-44400004-44-4-4-440-4-440000000000000000000000000000000000000000000000−222222−220000000000000000000000
χ634-44-44-24-4002-4-4-242-20-222−2i22i2−2i22i20-2204-400000000-2200−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ644-44-44-24-4002-4-4-242-20-2222i2−2i22i2−2i20-2204-400000000-22002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ654-44-44-2-44002-4-4-242-20-222−2i22i22i2−2i202-20-44000000002-200−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ664-44-44-2-44002-4-4-242-20-2222i2−2i2−2i22i202-20-44000000002-2002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ674-44-4-244-400-4224-2-4-20-222−2i22i2−2i22i204-40-2200000000-2200i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ684-44-4-244-400-4224-2-4-20-2222i2−2i22i2−2i204-40-2200000000-2200−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ694-44-4-24-4400-4224-2-4-20-222−2i22i22i2−2i20-4402-2000000002-200i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ704-44-4-24-4400-4224-2-4-20-2222i2−2i2−2i22i20-4402-2000000002-200−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ714-44-4-2-24-400222-2-22101-1-1−2i22i2−2i22i20-220-223i−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
χ724-44-4-2-24-400222-2-22101-1-1−2i22i2−2i22i20-220-22−3i3i00−3i3i001-1−3i3ii2−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
χ734-44-4-2-24-400222-2-22101-1-12i2−2i22i2−2i20-220-223i−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
χ744-44-4-2-24-400222-2-22101-1-12i2−2i22i2−2i20-220-22−3i3i00−3i3i001-1−3i3i−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
χ754-44-4-2-2-4400222-2-22101-1-1−2i22i22i2−2i202-202-23i−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
χ764-44-4-2-2-4400222-2-22101-1-1−2i22i22i2−2i202-202-2−3i3i00−3i3i00-113i−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
χ774-44-4-2-2-4400222-2-22101-1-12i2−2i2−2i22i202-202-23i−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
χ784-44-4-2-2-4400222-2-22101-1-12i2−2i2−2i22i202-202-2−3i3i00−3i3i00-113i−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
χ794-4-444400-44-44-4-4-4440-44-40000-400-400-4-4444400000000000000000000000000000000000000000000000000000000
χ804-4-444-2004-424-42-4-2-202-220000400-200-2-2-422200000000000000000000004i−4i000000000000000000−2i2i000000000000
χ814-4-444-2004-424-42-4-2-202-220000400-200-2-2-42220000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ824-4-444-200-4424-42-4-2-202-220000-400200224-2-2-20000000000000000000000000000000000000000−2i32i300000000000000
χ834-4-444-200-4424-42-4-2-202-220000-400200224-2-2-200000000000000000000000000000000000000002i3−2i300000000000000
χ844-4-44-24004-4-4-22-424-202-220000-200400-2-22-4220000000000000000000000004-4000000000000000000-220000000000
χ854-4-44-24004-4-4-22-424-202-220000-200400-2-22-422000000000000000000000000-440000000000000000002-20000000000
χ864-4-44-2400-44-4-22-424-202-220000200-40022-24-2-2000000000000000000000000000000000000000000000023−2300000000
χ874-4-44-2400-44-4-22-424-202-220000200-40022-24-2-20000000000000000000000000000000000000000000000−232300000000
χ8888-8-88-40000-4-884-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-48000084-4-84-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-40000-44-444420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-40000-44-444420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4008-84-4444-420-22-20000-400-4002244-2-200000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400-884-4444-420-22-20000400400-2-2-4-42200000000000000000000000000000000000000000000000000000000

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