Finite Group Databasebeta

← Group #11866334

Character table — Group #11866334

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444444488888888888888888888888121212121212121218181818242424242424242424242424363636364848484872
order1222334466666634466688121212121212121212121212812121212121224242424242424242424242424242424444444442244222412121212121212124488666128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-111-11
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1
χ9111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-1-1-111-11-11-1
χ10111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-111-1-1-1-11111-1-111-1-11
χ11111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-1111
χ12111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-111-1-1111-11-1-1
χ13111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-111-111-1-111-1-1-1-1-1-11-11-11
χ14111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-11-1111-1-1-1-1111111-1-111-1
χ15111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-11-1-1-11111-1-1111111-1-1-1
χ16111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-11-1-111-1-111-1-1-1-1-11-111
χ17222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-200000000000000000000000022-2-20000000000002-20000000
χ18222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-2000000000000000000000000-2-222000000000000-220000000
χ19222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-22200000000000000000000000022-2-2000000000000-220000000
χ20222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-222000000000000000000000000-2-2220000000000002-20000000
χ2122222-1222-12-1-12-122-1-1-12222-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200220000002200-1-1-1-1000000000-1-100
χ2222222-1222-12-1-12-122-1-1-12222-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2000000-2-20011110000000001100
χ2322222-1222-12-1-12-122-1-1-1-2-222-1-1-12-1-1-12-1-1-2-12-1-1-1-1-2-2111111-2-2111111220022000000-2-200-1-1-1-10000000001100
χ2422222-1222-12-1-12-122-1-1-1-2-222-1-1-12-1-1-12-1-1-2-12-1-1-1-1-2-2111111-2-2111111-2-200-2-200000022001111000000000-1-100
χ2522222-1222-12-1-12-1-2-2-1-1-122-2-211-12-1-1-12-1-1-21-2111122-1-1-1-1-1-1-2-21111112200-2-20000002-200-1-111000000000-1100
χ2622222-1222-12-1-12-1-2-2-1-1-122-2-211-12-1-1-12-1-1-21-2111122-1-1-1-1-1-1-2-2111111-2-20022000000-220011-1-10000000001-100
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-2-211-12-1-1-12-1-121-21111-2-211111122-1-1-1-1-1-12200-2-2000000-2200-1-1110000000001-100
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-2-211-12-1-1-12-1-121-21111-2-211111122-1-1-1-1-1-1-2-200220000002-20011-1-1000000000-1100
χ292222-1222-12-122-1-122-1-1-122-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100220022000000220000-1-1-1-10000-100-10
χ302222-1222-12-122-1-122-1-1-122-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-2-2000000-2-200001111000010010
χ312222-1222-12-122-1-122-1-1-1-2-2-1-1222-1-1-12-1-1-1-22-1-1-1-1-111-2-2111111-2-2111100220022000000-2-20000-1-1-1-1000010010
χ322222-1222-12-122-1-122-1-1-1-2-2-1-1222-1-1-12-1-1-1-22-1-1-1-1-111-2-2111111-2-2111100-2-200-2-200000022000011110000-100-10
χ332222-1222-12-122-1-1-2-2-1-1-12211-2-22-1-1-12-1-1-1-2-211111-1-122-1-1-1-111-2-21111002200-2-2000000-220000-1-1110000100-10
χ342222-1222-12-122-1-1-2-2-1-1-12211-2-22-1-1-12-1-1-1-2-211111-1-122-1-1-1-111-2-2111100-2-200220000002-2000011-1-10000-10010
χ352222-1222-12-122-1-1-2-2-1-1-1-2-211-2-22-1-1-12-1-1-12-21111111-2-21111-1-122-1-1-1-1002200-2-20000002-20000-1-1110000-10010
χ362222-1222-12-122-1-1-2-2-1-1-1-2-211-2-22-1-1-12-1-1-12-21111111-2-21111-1-122-1-1-1-100-2-20022000000-22000011-1-10000100-10
χ372-2-22222-2-2-2-22-222002-2-20000002222-2-2-2-2000000000000000000000002i−2i2i−2i00002-22-200002i−2i002i−2i00000000000
χ382-2-22222-2-2-2-22-222002-2-20000002222-2-2-2-2000000000000000000000002i−2i−2i2i0000-22-2200002i−2i00−2i2i00000000000
χ392-2-22222-2-2-2-22-222002-2-20000002222-2-2-2-200000000000000000000000−2i2i2i−2i0000-22-220000−2i2i002i−2i00000000000
χ402-2-22222-2-2-2-22-222002-2-20000002222-2-2-2-200000000000000000000000−2i2i−2i2i00002-22-20000−2i2i00−2i2i00000000000
χ412-2-2222-22-2-2-22-222002-2-2000000-2-2-2-222220000000000000000000000000002-22-22-2-220000002-2002-2000000000
χ422-2-2222-22-2-2-22-222002-2-2000000-2-2-2-222220000000000000000000000000002-2-22-222-20000002-200-22000000000
χ432-2-2222-22-2-2-22-222002-2-2000000-2-2-2-22222000000000000000000000000000-222-2-222-2000000-22002-2000000000
χ442-2-2222-22-2-2-22-222002-2-2000000-2-2-2-22222000000000000000000000000000-22-222-2-22000000-2200-22000000000
χ4544444-2-4-44-24-2-24-24-4-2-2-20044222-4222-4220-2-4-2-2220000000000000000000000000000000000000000000000000
χ4644444-2-4-44-24-2-24-2-44-2-2-200-4-4-2-22-4222-42202422-2-20000000000000000000000000000000000000000000000000
χ474444-24-4-4-24-244-2-24-4-2-2-200-2-2-4-4-4222-4222042-2-2220000000000000000000000000000000000000000000000000
χ484444-24-4-4-24-244-2-2-44-2-2-2002244-4222-42220-4-222-2-20000000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-211-2-2114-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-2-211-2-211-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111442222-2-211-2-211-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-42222-2-211-2-211422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-10-2211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-10-2211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-441110022-2-222-1-122-1-102-2-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-441110022-2-222-1-122-1-102-2-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000000
χ5744-4-444004-4-4-44-4400-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ5844-4-444004-4-4-44-4400-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ594-44-44400-444-4-4-4400-4-44−2i22i20000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ604-44-44400-444-4-4-4400-4-442i2−2i200000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ614-44-44-200-4-2422-4-20022-2−2i22i200−2i32i30000000000000−2i32i3−2i22i2i2−i2i2−i2i2−i2006−66−66−6000000000000000000000000000000000
χ624-44-44-200-4-2422-4-20022-2−2i22i2002i3−2i300000000000002i3−2i3−2i22i2i2−i2i2−i2i2−i200−66−66−66000000000000000000000000000000000
χ634-44-44-200-4-2422-4-20022-22i2−2i200−2i32i30000000000000−2i32i32i2−2i2−i2i2−i2i2−i2i200−66−66−66000000000000000000000000000000000
χ644-44-44-200-4-2422-4-20022-22i2−2i2002i3−2i300000000000002i3−2i32i2−2i2−i2i2−i2i2−i2i2006−66−66−6000000000000000000000000000000000
χ654-44-4-240024-2-4-42-20022-2−2i22i223−23000000000000023−2300i2−i2−2i22i2i2−i2i2−i2i6−i600i6−i6−i6i6000000000000000000000000000000000
χ664-44-4-240024-2-4-42-20022-2−2i22i2−23230000000000000−232300i2−i2−2i22i2i2−i2i2−i2−i6i600−i6i6i6−i6000000000000000000000000000000000
χ674-44-4-240024-2-4-42-20022-22i2−2i223−23000000000000023−2300−i2i22i2−2i2−i2i2−i2i2−i6i600−i6i6i6−i6000000000000000000000000000000000
χ684-44-4-240024-2-4-42-20022-22i2−2i2−23230000000000000−232300−i2i22i2−2i2−i2i2−i2i2i6−i600i6−i6−i6i6000000000000000000000000000000000
χ694-44-4-2-2002-2-2222100-1-11−2i22i223−23−2i32i3003i−3i003i−3i000−33i3−i3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000
χ704-44-4-2-2002-2-2222100-1-11−2i22i223−232i3−2i300−3i3i00−3i3i000−33−i3i3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000
χ714-44-4-2-2002-2-2222100-1-11−2i22i2−2323−2i32i300−3i3i00−3i3i0003−3i3−i3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000
χ724-44-4-2-2002-2-2222100-1-11−2i22i2−23232i3−2i3003i−3i003i−3i0003−3−i3i3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000
χ734-44-4-2-2002-2-2222100-1-112i2−2i223−23−2i32i3003i−3i003i−3i000−33i3−i3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000
χ744-44-4-2-2002-2-2222100-1-112i2−2i223−232i3−2i300−3i3i00−3i3i000−33−i3i3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000
χ754-44-4-2-2002-2-2222100-1-112i2−2i2−2323−2i32i300−3i3i00−3i3i0003−3i3−i3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000
χ764-44-4-2-2002-2-2222100-1-112i2−2i2−23232i3−2i3003i−3i003i−3i0003−3−i3i3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000
χ774-4-444-24-4-42-4-224-200-222000000-24-2-22-422000000000000000000000004i−4i00000000000000−2i2i000000000000000
χ784-4-444-24-4-42-4-224-200-222000000-24-2-22-42200000000000000000000000−4i4i000000000000002i−2i000000000000000
χ794-4-444-2-44-42-4-224-200-2220000002-422-24-2-20000000000000000000000000004-4000000000000-220000000000000
χ804-4-444-2-44-42-4-224-200-2220000002-422-24-2-2000000000000000000000000000-440000000000002-20000000000000
χ814-4-44-244-42-424-4-2-200-2220000004-2-2-2-422200000000000000000000000004i−4i0000000000000000−2i2i00000000000
χ824-4-44-244-42-424-4-2-200-2220000004-2-2-2-42220000000000000000000000000−4i4i00000000000000002i−2i00000000000
χ834-4-44-24-442-424-4-2-200-222000000-42224-2-2-2000000000000000000000000000004-400000000000000-22000000000
χ844-4-44-24-442-424-4-2-200-222000000-42224-2-2-200000000000000000000000000000-44000000000000002-2000000000
χ8588-8-88-40084-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4800-4-84-884-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-4444-44200-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400-4444-44200-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ898-8-88-4-48-8444-44-42002-2-2000000-4-42244-2-200000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4-88444-44-42002-2-200000044-2-2-4-42200000000000000000000000000000000000000000000000000000000

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