Finite Group Databasebeta

← Group #11878679

Character table — Group #11878679

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242422444422222244666612121212488886666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-1-11-111-1-111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-111-1111111-1-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-111-1-1-11111-1-111
χ9111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1111-1-1-1-111111-1-11-11-1
χ10111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111-1-1-11111-1-1111-1-1-11-11
χ11111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-11-111-1-11111-1-1-1-1-1-1-1111-1-11
χ12111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-11111-1-1-111-111-1
χ13111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11-111-1-1-11111-1-11-1-1111-11-1
χ14111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-11-1-1111-1-1-1-1111-1-111-11-11
χ15111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-11-111-1-1-1-11111-111-1-11-1-11
χ16111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1111-11-1-11111-1-1-1-1-111-1-1-111-1
χ1722222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-2000000000000000022-2-2220000000000000000-200000000
χ1822222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-20000000000000000-2-222-2-20000000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000002222-2-20000000000000000-200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-2220000000000000000200000000
χ2122222-1222222-1-12-1-12-1-1-122222-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000002220200-1-100-1-10000000-1-1
χ2222222-1222222-1-12-1-12-1-1-122222-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000-2-2-20-200110011000000011
χ2322222-1222222-1-12-1-12-1-1-1-2-2-2-22-122-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100000000022-20-2001100110000000-1-1
χ2422222-1222222-1-12-1-12-1-1-1-2-2-2-22-122-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111000000000-2-220200-1-100-1-1000000011
χ2522222-1-2-22222-1-12-1-1-2-1-1-122-2-22-1-2-211-1-12-1-1-1-21111122-1-1-1-1-1-1-2-21111110000000002-2-202001100-1-10000000-11
χ2622222-1-2-22222-1-12-1-1-2-1-1-122-2-22-1-2-211-1-12-1-1-1-21111122-1-1-1-1-1-1-2-2111111000000000-2220-200-1-1001100000001-1
χ2722222-1-2-22222-1-12-1-1-2-1-1-1-2-2222-1-2-211-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-10000000002-220-200-1-100110000000-11
χ2822222-1-2-22222-1-12-1-1-2-1-1-1-2-2222-1-2-211-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-1000000000-22-202001100-1-100000001-1
χ292222-122222-1-122-12-12-1-1-12222-12-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000022200020-1-100-1-10000000-1-100
χ302222-122222-1-122-12-12-1-1-12222-12-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-2-2000-2011001100000001100
χ312222-122222-1-122-12-12-1-1-1-2-2-2-2-12-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-2111100000022-2000-201100110000000-1-100
χ322222-122222-1-122-12-12-1-1-1-2-2-2-2-12-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000000-2-2200020-1-100-1-100000001100
χ332222-12-2-222-1-122-12-1-2-1-1-122-2-2-1211-2-2-1-1-12-1-11-21111-1-122-1-1-1-111-2-211110000002-22000-20-1-100110000000-1100
χ342222-12-2-222-1-122-12-1-2-1-1-122-2-2-1211-2-2-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111000000-22-2000201100-1-100000001-100
χ352222-12-2-222-1-122-12-1-2-1-1-1-2-222-1211-2-2-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-10000002-2-2000201100-1-10000000-1100
χ362222-12-2-222-1-122-12-1-2-1-1-1-2-222-1211-2-2-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1000000-222000-20-1-1001100000001-100
χ372-2-22222-200-2-2-2-222202-2-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−22-2002-2000000000000000002−22−20000
χ382-2-22222-200-2-2-2-222202-2-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−2-2200-2200000000000000000−22−220000
χ392-2-22222-200-2-2-2-222202-2-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−2222-2002-200000000000000000−22−220000
χ402-2-22222-200-2-2-2-222202-2-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−222-2200-22000000000000000002−22−20000
χ412-2-2222-2200-2-2-2-222202-2-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−2222-200-22000000000000000002−2−220000
χ422-2-2222-2200-2-2-2-222202-2-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−222-22002-200000000000000000−222−20000
χ432-2-2222-2200-2-2-2-222202-2-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−22-200-2200000000000000000−222−20000
χ442-2-2222-2200-2-2-2-222202-2-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−2-22002-2000000000000000002−2−220000
χ4544444-244-4-444-2-24-2-2-4-2-2-20000-4244-2-222-4222-42-2-22200000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-444-2-24-2-24-2-2-20000-42-4-42222-42224-222-2-200000000000000000000000000000000000000000000000
χ474444-2444-4-4-2-244-24-2-4-2-2-200002-4-2-244222-4222-4-2-22200000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-24-24-2-2-200002-422-4-4222-422-2422-2-200000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-411144-4-4-2-2222211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-4-444-2-2222211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000
χ5744-4-44400004-44-4-4-440-44-400000000000000000000000000000000000000004-4000000000000000000000000000
χ5844-4-44400004-44-4-4-440-44-40000000000000000000000000000000000000000-44000000000000000000000000000
χ594-44-444004-4-44-44-4-440-4-440000-4-40000-4-4444400000000000000000000000000000000000000000000000000000
χ604-44-44400-44-44-44-4-440-4-44000044000044-4-4-4-400000000000000000000000000000000000000000000000000000
χ614-44-44-2004-4-442-2-42-2022-20000-420000224-2-2-200000000000000000000000000000000000000−2i32i30000000000000
χ624-44-44-2004-4-442-2-42-2022-20000-420000224-2-2-2000000000000000000000000000000000000002i3−2i30000000000000
χ634-44-44-200-44-442-2-42-2022-200004-20000-2-2-422200000000000000000000000000000000000000000023−23000000000
χ644-44-44-200-44-442-2-42-2022-200004-20000-2-2-4222000000000000000000000000000000000000000000−2323000000000
χ654-44-4-24004-42-2-442-4-2022-200002-4000022-24-2-2000000000000000000000000000000000000−2i32i3000000000000000
χ664-44-4-24004-42-2-442-4-2022-200002-4000022-24-2-20000000000000000000000000000000000002i3−2i3000000000000000
χ674-44-4-2400-442-2-442-4-2022-20000-240000-2-22-422000000000000000000000000000000000000000023−2300000000000
χ684-44-4-2400-442-2-442-4-2022-20000-240000-2-22-4220000000000000000000000000000000000000000−232300000000000
χ694-4-444-24-400-4-4224-2-20-22222−2222−22004-4-2200000000-220022−22−22−2−22222−22−22−2−2220000000000000000000000000000000
χ704-4-444-24-400-4-4224-2-20-222−2222−2222004-4-2200000000-2200−22222−222−2−2−22222−222−2−20000000000000000000000000000000
χ714-4-444-2-4400-4-4224-2-20-22222−22−222200-442-2000000002-20022−22−22−2−222−22222−222−2−20000000000000000000000000000000
χ724-4-444-2-4400-4-4224-2-20-222−222222−2200-442-2000000002-200−22222−222−2−222−22−22−2−2220000000000000000000000000000000
χ734-4-44-244-40022-4-4-24-20-22222−2222−2200-224-400000000-2200−2222−22−2−222−2222−22−2−2220000000000000000000000000000000
χ744-4-44-244-40022-4-4-24-20-222−2222−222200-224-400000000-22002−2−222222−2−22−2−222222−2−20000000000000000000000000000000
χ754-4-44-24-440022-4-4-24-20-22222−22−2222002-2-44000000002-200−2222−22−2−2222−2−222222−2−20000000000000000000000000000000
χ764-4-44-24-440022-4-4-24-20-222−222222−22002-2-44000000002-2002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000
χ774-4-44-2-24-4002222-2-2101-1-122−2222−2200-22-223i−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−ζ13−2ζ230000000000000000000000000000000
χ784-4-44-2-24-4002222-2-2101-1-122−2222−2200-22-22−3i3i00−3i3i001-1−3i3i−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+ζ230000000000000000000000000000000
χ794-4-44-2-24-4002222-2-2101-1-1−2222−222200-22-223i−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+2ζ230000000000000000000000000000000
χ804-4-44-2-24-4002222-2-2101-1-1−2222−222200-22-22−3i3i00−3i3i001-1−3i3i2−22−2−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−ζ230000000000000000000000000000000
χ814-4-44-2-2-44002222-2-2101-1-122−22−2222002-22-23i−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+2ζ230000000000000000000000000000000
χ824-4-44-2-2-44002222-2-2101-1-122−22−2222002-22-2−3i3i00−3i3i00-113i−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−ζ230000000000000000000000000000000
χ834-4-44-2-2-44002222-2-2101-1-1−222222−22002-22-23i−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−ζ13−2ζ230000000000000000000000000000000
χ844-4-44-2-2-44002222-2-2101-1-1−222222−22002-22-2−3i3i00−3i3i00-113i−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+ζ230000000000000000000000000000000
χ8588-8-88-400008-8-44-84-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-448-84-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40000-44-444420-22-200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-44-444420-22-20000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000
χ898-88-8-4-4008-84-44-44420-2-220000440000-2-2-4-42200000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-884-44-44420-2-220000-4-400002244-2-200000000000000000000000000000000000000000000000000000

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