Finite Group Databasebeta

← Group #11885777

Character table — Group #11885777

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242422222222888822224466661212121244886666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-111-1-111-1-111-1-1-1-111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1-11111-1-111-1-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-11-1-1-11111-1-1-1-11-1-1-11-11-1
χ10111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-11-1111-1-1-1-111-11111-1-11
χ11111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-11-1-1-11111-1-1-1111-111-1
χ12111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1111-1-1-1-111111-1-1-1-11-11
χ13111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-11-11-1-11111-1-1-1-1-11-1-1-11-11
χ14111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1111-1-1-1-1111-111-111-1
χ15111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-111-1-1-11111-1-11-1111-1-11
χ16111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-11-111-1-1-1-11111-11-1-11-11-1
χ1722222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-2000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-200000000000000000000-2-2-2-200000000000000000022000000
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
χ2122222-1222222-1-12-1-12-1-1-122222-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100220000000000220200-1-100-1-1000000-1-1
χ2222222-1222222-1-12-1-12-1-1-122222-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-20000000000-2-20-20011001100000011
χ2322222-1222222-1-12-1-12-1-1-1-2-2-2-22-122-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100220000000000-2-20200-1-100-1-100000011
χ2422222-1222222-1-12-1-12-1-1-1-2-2-2-22-122-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100-2-20000000000220-200110011000000-1-1
χ2522222-1-2-22222-1-12-1-1-2-1-1-122-2-22-1-2-211-1-12-1-1-1-21111122-1-1-1-1-1-1-2-2111111002200000000002-20-200-1-10011000000-11
χ2622222-1-2-22222-1-12-1-1-2-1-1-122-2-22-1-2-211-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111100-2-20000000000-2202001100-1-10000001-1
χ2722222-1-2-22222-1-12-1-1-2-1-1-1-2-2222-1-2-211-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100220000000000-220-200-1-100110000001-1
χ2822222-1-2-22222-1-12-1-1-2-1-1-1-2-2222-1-2-211-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100-2-200000000002-202001100-1-1000000-11
χ292222-122222-1-122-12-12-1-1-12222-12-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220000000000220020-1-100-1-1000000-1-100
χ302222-122222-1-122-12-12-1-1-12222-12-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000000000-2-200-201100110000001100
χ312222-122222-1-122-12-12-1-1-1-2-2-2-2-12-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111220000000000-2-20020-1-100-1-10000001100
χ322222-122222-1-122-12-12-1-1-1-2-2-2-2-12-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111-2-200000000002200-20110011000000-1-100
χ332222-12-2-222-1-122-12-1-2-1-1-122-2-2-1211-2-2-1-1-12-1-11-21111-1-122-1-1-1-111-2-211112200000000002-200-20-1-10011000000-1100
χ342222-12-2-222-1-122-12-1-2-1-1-122-2-2-1211-2-2-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111-2-20000000000-2200201100-1-10000001-100
χ352222-12-2-222-1-122-12-1-2-1-1-1-2-222-1211-2-2-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1220000000000-2200-20-1-100110000001-100
χ362222-12-2-222-1-122-12-1-2-1-1-1-2-222-1211-2-2-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1-2-200000000002-200201100-1-1000000-1100
χ372-22-2222-200-2-2-2-222202-2-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−200002-22-222−2−200000000000000002−20000
χ382-22-2222-200-2-2-2-222202-2-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−20000-22-22−2−2220000000000000000−220000
χ392-22-2222-200-2-2-2-222202-2-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−22200002-22-2−2−2220000000000000000−220000
χ402-22-2222-200-2-2-2-222202-2-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−2220000-22-2222−2−200000000000000002−20000
χ412-22-222-2200-2-2-2-222202-2-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−22200002-2-2222−2−20000000000000000−220000
χ422-22-222-2200-2-2-2-222202-2-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−2220000-222-2−2−22200000000000000002−20000
χ432-22-222-2200-2-2-2-222202-2-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−200002-2-22−2−22200000000000000002−20000
χ442-22-222-2200-2-2-2-222202-2-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−20000-222-222−2−20000000000000000−220000
χ452-2-222200-222-22-2-2-220-22-20000-2-20000-2-2222200000000000000000000002-22-200002-22-20000002-22-2000000000000
χ462-2-222200-222-22-2-2-220-22-20000-2-20000-2-2222200000000000000000000002-2-220000-22-220000002-2-22000000000000
χ472-2-222200-222-22-2-2-220-22-20000-2-20000-2-222220000000000000000000000-222-20000-22-22000000-222-2000000000000
χ482-2-222200-222-22-2-2-220-22-20000-2-20000-2-222220000000000000000000000-22-2200002-22-2000000-22-22000000000000
χ4944444-244-4-444-2-24-2-2-4-2-2-20000-4244-2-222-4222-42-2-22200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-24-2-24-2-2-20000-42-4-42222-42224-222-2-200000000000000000000000000000000000000000000000000
χ514444-2444-4-4-2-244-24-2-4-2-2-200002-4-2-244222-4222-4-2-22200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-244-24-24-2-2-200002-422-4-4222-422-2422-2-200000000000000000000000000000000000000000000000000
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
χ554444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-411144-4-4-2-2222211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111-4-444-2-2222211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
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
χ6144-4-4440000-44-44-4-440-4-44000000000000000000000000000000000000000000000022−22−22220000000000000000000000
χ6244-4-4440000-44-44-4-440-4-440000000000000000000000000000000000000000000000−222222−220000000000000000000000
χ634-44-44-24-400-4-4224-2-20-22222−2222−22004-4-2200000000-220022−22−22−2−22222−22−22−2−2220000000000000000000000000000000000
χ644-44-44-24-400-4-4224-2-20-222−2222−2222004-4-2200000000-2200−22222−222−2−2−22222−222−2−20000000000000000000000000000000000
χ654-44-44-2-4400-4-4224-2-20-22222−22−222200-442-2000000002-20022−22−22−2−222−22222−222−2−20000000000000000000000000000000000
χ664-44-44-2-4400-4-4224-2-20-222−222222−2200-442-2000000002-200−22222−222−2−222−22−22−2−2220000000000000000000000000000000000
χ674-44-4-244-40022-4-4-24-20-22222−2222−2200-224-400000000-2200−2222−22−2−222−2222−22−2−2220000000000000000000000000000000000
χ684-44-4-244-40022-4-4-24-20-222−2222−222200-224-400000000-22002−2−222222−2−22−2−222222−2−20000000000000000000000000000000000
χ694-44-4-24-440022-4-4-24-20-22222−22−2222002-2-44000000002-200−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000
χ704-44-4-24-440022-4-4-24-20-222−222222−22002-2-44000000002-2002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000
χ714-44-4-2-24-4002222-2-2101-1-122−2222−2200-22-223i−3i003i−3i001-13i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ724-44-4-2-24-4002222-2-2101-1-122−2222−2200-22-22−3i3i00−3i3i001-1−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ734-44-4-2-24-4002222-2-2101-1-1−2222−222200-22-223i−3i003i−3i001-13i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ744-44-4-2-24-4002222-2-2101-1-1−2222−222200-22-22−3i3i00−3i3i001-1−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ754-44-4-2-2-44002222-2-2101-1-122−22−2222002-22-23i−3i003i−3i00-11−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ764-44-4-2-2-44002222-2-2101-1-122−22−2222002-22-2−3i3i00−3i3i00-113i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ774-44-4-2-2-44002222-2-2101-1-1−222222−22002-22-23i−3i003i−3i00-11−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ784-44-4-2-2-44002222-2-2101-1-1−222222−22002-22-2−3i3i00−3i3i00-113i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ794-4-4444004-44-44-4-4-440-44-4000044000044-4-4-4-400000000000000000000000000000000000000000000000000000000
χ804-4-444-2004-44-4-22-42-202-2200004-20000-2-2-4222000000000000000000000000000000000000000000000023−2300000000
χ814-4-444-2004-44-4-22-42-202-2200004-20000-2-2-42220000000000000000000000000000000000000000000000−232300000000
χ824-4-444-200-444-4-22-42-202-220000-420000224-2-2-20000000000000000000000004-40000000000000000-22000000000000
χ834-4-444-200-444-4-22-42-202-220000-420000224-2-2-2000000000000000000000000-4400000000000000002-2000000000000
χ844-4-44-24004-4-224-42-4-202-220000-240000-2-22-4220000000000000000000000000000000000000000000023−230000000000
χ854-4-44-24004-4-224-42-4-202-220000-240000-2-22-42200000000000000000000000000000000000000000000−23230000000000
χ864-4-44-2400-44-224-42-4-202-2200002-4000022-24-2-200000000000000000000004-40000000000000000-2200000000000000
χ874-4-44-2400-44-224-42-4-202-2200002-4000022-24-2-20000000000000000000000-4400000000000000002-200000000000000
χ8888-8-88-40000-884-4-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4800004-4-884-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400004-44-44420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400004-44-44420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4008-8-44-444420-22-20000-4-400002244-2-200000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400-88-44-444420-22-20000440000-2-2-4-42200000000000000000000000000000000000000000000000000000000

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