Finite Group Databasebeta

← Group #11779349

Character table — Group #11779349

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444444888888888888888888888888121224242424242424242424242424363636363636484848484872
order12223344446666663466612121212121212121212121288121212121212242424242424242424242424242424244422488121212122424242444888846612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ5111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-111-1-11
χ6111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-11111-1-1-1-1-1-1
χ7111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ8111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1111
χ92222222-22-22222222-22222-2-2-22222222-200-2-2-2-2-2-200000000000000002200-200-2-2220000000000000000
χ102222222-22-22222222-22222-2-2-22222222-200-2-2-2-2-2-20000000000000000-2-20020022-2-20000000000000000
χ11222222-22-222222222-2222-2222-2-2-2-2-2-2-2200-2-222-2-2000000000000000000000000000000022000000000-2
χ12222222-22-222222222-2222-2222-2-2-2-2-2-2-2200-2-222-2-20000000000000000000000000000000-2-20000000002
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-2220000000000000000002-20000000000000000002-2000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-222000000000000000000-22000000000000000000-22000
χ1522222-122222-1-1-122-12-1-1-1-122-12-1-1-12-1-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220220000-1-1-1-10000000-1-1000
χ1622222-122222-1-1-122-12-1-1-1-122-12-1-1-12-1-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-20-2-200001111000000011000
χ1722222-122222-1-1-122-12-1-1-1-122-12-1-1-12-1-1-1-2-2-12-1-1-1-1-2-2-2-211111111111100220-2-2000011110000000-1-1000
χ1822222-122222-1-1-122-12-1-1-1-122-12-1-1-12-1-1-1-2-2-12-1-1-1-1-2-2-2-211111111111100-2-20220000-1-1-1-1000000011000
χ1922222-1-2-2-2-22-1-1-122-12-1-1-11-2-21-2111-211100-1211-1-10000333333−3−3−3−3−3−3002-2000000033−3−30000000-11000
χ2022222-1-2-2-2-22-1-1-122-12-1-1-11-2-21-2111-211100-1211-1-10000333333−3−3−3−3−3−300-220000000−3−33300000001-1000
χ2122222-1-2-2-2-22-1-1-122-12-1-1-11-2-21-2111-211100-1211-1-10000−3−3−3−3−3−3333333002-20000000−3−3330000000-11000
χ2222222-1-2-2-2-22-1-1-122-12-1-1-11-2-21-2111-211100-1211-1-10000−3−3−3−3−3−333333300-22000000033−3−300000001-1000
χ232222-122222-1222-1-1-12-1-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12200200-1-1-1-10000000000200-1-10
χ242222-122222-1222-1-1-12-1-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-20011110000000000-200110
χ252222-122222-1222-1-1-12-1-1-12-1-12-1-1-12-1-1-12-2-22-1-1-1-1-11111-2-21111-2-211112200200-1-1-1-10000000000-200110
χ262222-122222-1222-1-1-12-1-1-12-1-12-1-1-12-1-1-12-2-22-1-1-1-1-11111-2-21111-2-21111-2-200-20011110000000000200-1-10
χ272222-122-22-2-1222-1-1-1-2-1-1-1211-2-1-1-12-1-1-1-200-211111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i32200-20011-1-10000000000000−i3i30
χ282222-122-22-2-1222-1-1-1-2-1-1-1211-2-1-1-12-1-1-1-200-211111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-2-200200-1-1110000000000000i3−i30
χ292222-122-22-2-1222-1-1-1-2-1-1-1211-2-1-1-12-1-1-1-200-211111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i32200-20011-1-10000000000000i3−i30
χ302222-122-22-2-1222-1-1-1-2-1-1-1211-2-1-1-12-1-1-1-200-211111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-2-200200-1-1110000000000000−i3i30
χ3122-2-222-2020-22-2-22-2202-2-2-2000-2-2-2222200000000000000000000000002i−2i0002−2002i−2i2−22−200−i2−i2i2i2000000
χ3222-2-222-2020-22-2-22-2202-2-2-2000-2-2-2222200000000000000000000000002i−2i000−22002i−2i−22−2200i2i2−i2−i2000000
χ3322-2-222-2020-22-2-22-2202-2-2-2000-2-2-222220000000000000000000000000−2i2i0002−200−2i2i2−22−200i2i2−i2−i2000000
χ3422-2-222-2020-22-2-22-2202-2-2-2000-2-2-222220000000000000000000000000−2i2i000−2200−2i2i−22−2200−i2−i2i2i2000000
χ352-22-2220-2022-22-2-2-220-22-202-2-2000000022−2002-2002−22−22−22−22−22−22−22−20000000000000002i−2i−i2i2−i2i2000000
χ362-22-2220-2022-22-2-2-220-22-202-2-2000000022−2002-2002−22−22−22−22−22−22−22−2000000000000000−2i2ii2−i2i2−i2000000
χ372-22-2220-2022-22-2-2-220-22-202-2-200000002−22002-200−22−22−22−22−22−22−22−220000000000000002i−2ii2−i2i2−i2000000
χ382-22-2220-2022-22-2-2-220-22-202-2-200000002−22002-200−22−22−22−22−22−22−22−22000000000000000−2i2i−i2i2−i2i2000000
χ3944444-24-44-44-2-2-244-2-4-2-2-2-2-4-424-2-2-24-2-22002-422220000000000000000000000000000000000000000000
χ4044444-2-44-444-2-2-244-2-4-2-2-2244-2-4222-422-2002-4-2-2220000000000000000000000000000000000000000000
χ414444-24-44-44-2444-2-2-2-4-2-2-2-4-2-24222-4222400-42-2-2220000000000000000000000000000000000000000000
χ424444-24-4-4-4-4-2444-2-2-24-2-2-2-422-4222-4222-4004-222-2-20000000000000000000000000000000000000000000
χ434444-2-24444-2-2-2-2-2-214111-2-2-2-2-211-2-211-244-2-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000
χ444444-2-24444-2-2-2-2-2-214111-2-2-2-2-211-2-211-2-4-4-2-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000
χ454444-2-24-44-4-2-2-2-2-2-21-4111-2222-211-2-21120022-1-1-1-1−2i3−2i32i32i300i3i3−i3−i300i3i3−i3−i3000000000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111-2222-211-2-21120022-1-1-1-12i32i3−2i3−2i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-41112-2-2-22-1-122-1-1-2002211-1-10000003i3i−3i−3i00−3i−3i3i3i000000000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-41112-2-2-22-1-122-1-1-2002211-1-1000000−3i−3i3i3i003i3i−3i−3i000000000000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-21411122222-1-122-1-1200-2-2-1-11100002323−3−3−3−3−23−233333000000000000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-21411122222-1-122-1-1200-2-2-1-1110000−23−2333332323−3−3−3−3000000000000000000000000000
χ5144-4-44440-40-44-4-44-4404-4-44000444-4-4-4-40000000000000000000000000000000000000000000000000000
χ5244-4-44-240-40-4-2224-4-20-222-20004-2-22-4220000000000000000000000000000000000006−6−66000000000000
χ5344-4-44-240-40-4-2224-4-20-222-20004-2-22-422000000000000000000000000000000000000−666−6000000000000
χ5444-4-44-2-4040-4-2224-4-20-2222000-422-24-2-200000000000000000000000000000022−220000−22−22000000000000
χ5544-4-44-2-4040-4-2224-4-20-2222000-422-24-2-2000000000000000000000000000000−222200002−22−2000000000000
χ5644-4-4-2440-4024-4-4-22-20-2224000-2-2-2-422200000000000000000000000000000000−2i32i3000000000000000000
χ5744-4-4-2440-4024-4-4-22-20-2224000-2-2-2-4222000000000000000000000000000000002i3−2i3000000000000000000
χ5844-4-4-24-404024-4-4-22-20-222-40002224-2-2-200000000000000000000000004i−4i0000000−2i2i0000000000000000
χ5944-4-4-24-404024-4-4-22-20-222-40002224-2-2-20000000000000000000000000−4i4i00000002i−2i0000000000000000
χ604-44-444040-44-44-4-4-440-44-40-4440000000-40000-44000000000000000000000000000000000000000000000
χ614-44-44-2040-442-22-4-4-202-220-44-20000000200002-20000006−66−66−6−66−66−66000000000000000000000000000
χ624-44-44-2040-442-22-4-4-202-220-44-20000000200002-2000000−66−66−666−66−66−6000000000000000000000000000
χ634-44-44-20-40442-22-4-4-202-2204-420000000-222−2200-220022−2222−22−22−22−22−22−22−22000000000000000000000000000
χ644-44-44-20-40442-22-4-4-202-2204-420000000-2−222200-2200−2222−22222−22−22−22−22−22−2000000000000000000000000000
χ654-44-4-24040-4-2-44-422-202-2202-240000000-400002-200i6−i6−i6i600i6−i6−i6i600i6−i6−i6i6000000000000000000000000000
χ664-44-4-24040-4-2-44-422-202-2202-240000000-400002-200−i6i6i6−i600−i6i6i6−i600−i6i6i6−i6000000000000000000000000000
χ674-44-4-240-404-2-44-422-202-220-22-40000000422−2200-2200−22−2222−22−22−2222−22−22−22000000000000000000000000000
χ684-44-4-240-404-2-44-422-202-220-22-400000004−222200-22002−22−2−22222−22−2−22222−22−2000000000000000000000000000
χ694-44-4-2-2040-4-22-222210-11-102-2-203i−3i003i−3i20000-113i−3ii6−i6−i6i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000
χ704-44-4-2-2040-4-22-222210-11-102-2-203i−3i003i−3i20000-113i−3i−i6i6i6−i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ236−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000
χ714-44-4-2-2040-4-22-222210-11-102-2-20−3i3i00−3i3i20000-11−3i3ii6−i6−i6i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ136−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000
χ724-44-4-2-2040-4-22-222210-11-102-2-20−3i3i00−3i3i20000-11−3i3i−i6i6i6−i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000
χ734-44-4-2-20-404-22-222210-11-10-22203i−3i003i−3i-222−22001-1−3i3i−22−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000000000
χ744-44-4-2-20-404-22-222210-11-10-22203i−3i003i−3i-2−2222001-1−3i3i2−22−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ232−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000000000000000
χ754-44-4-2-20-404-22-222210-11-10-2220−3i3i00−3i3i-222−22001-13i−3i−22−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000000000
χ764-44-4-2-20-404-22-222210-11-10-2220−3i3i00−3i3i-2−2222001-13i−3i2−22−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000000000000000
χ774-4-44440000-4-4-44-4440-4-44000000000000000000000000000000000000000000000000000002-2-22000000
χ784-4-44440000-4-4-44-4440-4-4400000000000000000000000000000000000000000000000000000-222-2000000
χ7988-8-8-4-480-804-444-44202-2-2-4000-42244-2-20000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-80804-444-44202-2-240004-2-2-4-4220000000000000000000000000000000000000000000000000000
χ818-8-888-40000-844-4-88-4044-4000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800004-8-884-4-4044-4000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40000444-44-420-2-22000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000
χ848-8-88-4-40000444-44-420-2-2200000−6i6i006i−6i0000000000000000000000000000000000000000000000000000

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