Finite Group Databasebeta

← Group #11895781

Character table — Group #11895781

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222224444444444444444488888888888888888888888121212121212121212121212121212121212242424242424242424242436364848727272
order122233444466666612121212346661212121212121212121212128812121212122424242424242424242424242424242422444488882424242424242424224661212121212124466244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111111-1-1-1-111-1-11-1-1
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111111-1-1
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-111
χ9111111-1-11111111111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-11-111-1-11111-1-1-1-11-1-111-1-111-1-1111-1-11-1
χ10111111-1-11111111111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-11-11-1-111-1-1-1-111111-1-111-1-1-1-111-1-11-11-11
χ11111111-1-11111111111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-111-11
χ12111111-1-11111111111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-111-1-111-1-11111-11-11-1
χ13111111-1-11111111111111-11111-1-1-1-1-1-111111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-11111-11-111-1-111-1-1-1-1-1111-1
χ14111111-1-11111111111111-11111-1-1-1-1-1-111111-11-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1111-1-11111-1-1-1-1-11-111-1-1-1-11111-11-1-11
χ15111111-1-11111111111111-11111-1-1-1-1-1-111111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-11-1-1-111-1-1-1-111111-11-1-11111-1-1111-1-1-11
χ16111111-1-11111111111111-11111-1-1-1-1-1-111111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-1111-1-11111-1-1-1-11-11-1-111-1-111-1-11-111-1
χ1722222222-2-2222222-2-2-2-22-2222-22222-2-2-2-2-2-2-200-222-2-200000000000000000022-2-200000000000000000002-22-20000000
χ1822222222-2-2222222-2-2-2-22-2222-22222-2-2-2-2-2-2-200-222-2-2000000000000000000-2-2220000000000000000000-22-220000000
χ19222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-222-2-2-2-2-2002-2-2220000000000000000002-2-2200000000000000000002-2-220000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-222-2-2-2-2-2002-2-222000000000000000000-222-20000000000000000000-222-20000000
χ2122222-122222-1-122-12222-12-1-1-1-122-1-122-1-1-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000000000000222-1-1-1-1000000-1-1000
χ2222222-122222-1-122-12222-12-1-1-1-122-1-122-1-1-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000000-2-2-2111100000011000
χ2322222-122222-1-122-12222-12-1-1-1-122-1-122-1-1-1-1-1-2-2-1-1-1-1-1-2-2-2-2111111111111220000000000000000-2-22-1-1-1-100000011000
χ2422222-122222-1-122-12222-12-1-1-1-122-1-122-1-1-1-1-1-2-2-1-1-1-1-1-2-2-2-2111111111111-2-2000000000000000022-21111000000-1-1000
χ2522222-1-2-2222-1-122-12222-1-2-1-1-1-1-2-211-2-2-1-1-1-1-12-21111122-2-2-1-1-1-1-1-11111112200000000000000002-2-2-1-111000000-11000
χ2622222-1-2-2222-1-122-12222-1-2-1-1-1-1-2-211-2-2-1-1-1-1-12-21111122-2-2-1-1-1-1-1-1111111-2-20000000000000000-22211-1-10000001-1000
χ2722222-1-2-2222-1-122-12222-1-2-1-1-1-1-2-211-2-2-1-1-1-1-1-2211111-2-222111111-1-1-1-1-1-1220000000000000000-22-2-1-1110000001-1000
χ2822222-1-2-2222-1-122-12222-1-2-1-1-1-1-2-211-2-2-1-1-1-1-1-2211111-2-222111111-1-1-1-1-1-1-2-200000000000000002-2211-1-1000000-11000
χ292222-122222-122-1-12-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10022222222-1-1-1-1-1-1-1-10000000-1-1-1-10000000
χ302222-122222-122-1-12-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-2-2-2-2-2-2-211111111000000011110000000
χ312222-122222-122-1-12-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-1-2-22-1-1-1-11111-2-21111-2-21111002222-2-2-2-2111111110000000-1-1-1-10000000
χ322222-122222-122-1-12-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-1-2-22-1-1-1-11111-2-21111-2-2111100-2-2-2-22222-1-1-1-1-1-1-1-1000000011110000000
χ332222-1222-2-2-122-1-121111-1-2-1-1-1-2-1-1221111-21100-2-1-1113−33−30033−3−30033−3−30022-2-2000033−3−333−3−30000000-11-110000000
χ342222-1222-2-2-122-1-121111-1-2-1-1-1-2-1-1221111-21100-2-1-1113−33−30033−3−30033−3−300-2-2220000−3−333−3−33300000001-11-10000000
χ352222-1222-2-2-122-1-121111-1-2-1-1-1-2-1-1221111-21100-2-1-111−33−3300−3−33300−3−3330022-2-20000−3−333−3−3330000000-11-110000000
χ362222-1222-2-2-122-1-121111-1-2-1-1-1-2-1-1221111-21100-2-1-111−33−3300−3−33300−3−33300-2-222000033−3−333−3−300000001-11-10000000
χ372222-12-2-222-122-1-12-1-1-1-1-1-2-1-1-1211-2-211-1-12-1-12-2-21111-1-11122-1-1-1-1-2-21111002-22-222-2-2-1-1-1-111110000000-1-1110000000
χ382222-12-2-222-122-1-12-1-1-1-1-1-2-1-1-1211-2-211-1-12-1-12-2-21111-1-11122-1-1-1-1-2-2111100-22-22-2-2221111-1-1-1-1000000011-1-10000000
χ392222-12-2-222-122-1-12-1-1-1-1-1-2-1-1-1211-2-211-1-12-1-1-22-2111111-1-1-2-2111122-1-1-1-1002-22-2-2-2221111-1-1-1-10000000-1-1110000000
χ402222-12-2-222-122-1-12-1-1-1-1-1-2-1-1-1211-2-211-1-12-1-1-22-2111111-1-1-2-2111122-1-1-1-100-22-2222-2-2-1-1-1-11111000000011-1-10000000
χ412222-12-2-2-2-2-122-1-121111-12-1-1-1-211-2-2-1-111-21100211-1-13−3−330033−3−300−3−333002-2-22000033−3−3−3−3330000000-111-10000000
χ422222-12-2-2-2-2-122-1-121111-12-1-1-1-211-2-2-1-111-21100211-1-13−3−330033−3−300−3−33300-222-20000−3−33333−3−300000001-1-110000000
χ432222-12-2-2-2-2-122-1-121111-12-1-1-1-211-2-2-1-111-21100211-1-1−333−300−3−3330033−3−3002-2-220000−3−33333−3−30000000-111-10000000
χ442222-12-2-2-2-2-122-1-121111-12-1-1-1-211-2-2-1-111-21100211-1-1−333−300−3−3330033−3−300-222-2000033−3−3−3−33300000001-1-110000000
χ4522-2-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-2222000000000000000000000002-200002i−2i002i−2i2i−2i00000002-20000002i−2i00000
χ4622-2-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-2222000000000000000000000002-20000−2i2i00−2i2i−2i2i00000002-2000000−2i2i00000
χ4722-2-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-222200000000000000000000000-2200002i−2i002i−2i2i−2i0000000-22000000−2i2i00000
χ4822-2-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-222200000000000000000000000-220000−2i2i00−2i2i−2i2i0000000-220000002i−2i00000
χ4944444-244-4-44-2-244-2-4-4-4-4-2-4-2-2-2244-2-2-4-422222002-2-2220000000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-2-244-2-4-4-4-4-24-2-2-22-4-422442222200-222-2-20000000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-211-21144-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-211-211-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-222221-41112-2-2-2-222-1-12-1-100211-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-222221-41112-2-2-2-222-1-12-1-100211-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-2-2-2-21-4111-222222211-2114-42-1-1-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-2-2-2-21-4111-222222211-211-442-1-1-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-222221411122222-2-2-1-12-1-100-2-1-11123−23−232300−3−3330033−3−3000000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-222221411122222-2-2-1-12-1-100-2-1-111−232323−230033−3−300−3−333000000000000000000000000000000000000
χ5944-4-444004-444-4-4-4-444-4-4404-4-4400000044-4-4-400000000000000000000000000000000000000000000000000000000000
χ6044-4-44-2004-44-22-4-4244-4-4-20-222-2000000-2-2222000000000000000000000000000000000000000000000023−2300000000000
χ6144-4-44-2004-44-22-4-4244-4-4-20-222-2000000-2-22220000000000000000000000000000000000000000000000−232300000000000
χ6244-4-44-200-444-22-4-42-4-444-20-222200000022-2-2-2000000000000000000000004-40000000000000000000-220000000000000
χ6344-4-44-200-444-22-4-42-4-444-20-222200000022-2-2-200000000000000000000000-4400000000000000000002-20000000000000
χ6444-4-4-24004-4-24-422-4-2-222-20-2224000000-2-2-422000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000
χ6544-4-4-24004-4-24-422-4-2-222-20-2224000000-2-2-4220000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000
χ6644-4-4-2400-44-24-422-422-2-2-20-222-4000000224-2-2000000000000000000000000000004i−4i00−2i2i−2i2i0000000000000000000000
χ6744-4-4-2400-44-24-422-422-2-2-20-222-4000000224-2-200000000000000000000000000000−4i4i002i−2i2i−2i0000000000000000000000
χ684-44-4444-400-4-4-44-44000040-44-404-44-400000000004-4000000000000000000000000000000000000000000000000000000
χ694-44-444-4400-4-4-44-44000040-44-40-44-440000000000-44000000000000000000000000000000000000000000000000000000
χ704-44-44-24-400-4224-4-20000-202-2204-4-220000000000-22000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000000
χ714-44-44-24-400-4224-4-20000-202-2204-4-220000000000-22000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000000
χ724-44-44-2-4400-4224-4-20000-202-220-442-200000000002-2000000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6000000000000000000000000000000000000
χ734-44-44-2-4400-4224-4-20000-202-220-442-200000000002-2000000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6000000000000000000000000000000000000
χ744-44-4-244-4002-4-4-22423−2323−23-202-220-224-423−2323−23023−23000-2223−230000000000000000000000000000000000000000000000000000
χ754-44-4-244-4002-4-4-224−2323−2323-202-220-224-4−2323−23230−2323000-22−23230000000000000000000000000000000000000000000000000000
χ764-44-4-24-44002-4-4-22423−2323−23-202-2202-2-44−232323−23023−230002-2−23230000000000000000000000000000000000000000000000000000
χ774-44-4-24-44002-4-4-224−2323−2323-202-2202-2-4423−23−23230−23230002-223−230000000000000000000000000000000000000000000000000000
χ784-44-4-2-24-400222-22-223−2323−2310-11-10-22-2223−23−330−330001-1−330000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000000
χ794-44-4-2-24-400222-22-223−2323−2310-11-10-22-2223−23−330−330001-1−330000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000000
χ804-44-4-2-24-400222-22-2−2323−232310-11-10-22-22−23233−303−30001-13−30000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000000
χ814-44-4-2-24-400222-22-2−2323−232310-11-10-22-22−23233−303−30001-13−30000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000000
χ824-44-4-2-2-4400222-22-223−2323−2310-11-102-22-2−2323−330−33000-113−30000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000000
χ834-44-4-2-2-4400222-22-223−2323−2310-11-102-22-2−2323−330−33000-113−30000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000000
χ844-44-4-2-2-4400222-22-2−2323−232310-11-102-22-223−233−303−3000-11−330000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000000
χ854-44-4-2-2-4400222-22-2−2323−232310-11-102-22-223−233−303−3000-11−330000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000000
χ864-4-44440000-4-44-44-4000040-4-44000000000000000000000000000000000000000000022−22000022−2222−22000000000000000000
χ874-4-44440000-4-44-44-4000040-4-440000000000000000000000000000000000000000000−22220000−2222−2222000000000000000000
χ884-4-44-2400002-442-2-423−23−2323-2022-2000000023−230−2323000000000000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000000000000000
χ894-4-44-2400002-442-2-423−23−2323-2022-2000000023−230−23230000000000000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000000000
χ904-4-44-2400002-442-2-4−232323−23-2022-20000000−2323023−23000000000000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000000000000000
χ914-4-44-2400002-442-2-4−232323−23-2022-20000000−2323023−230000000000000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000000000
χ9288-8-8-4-4008-8-4-44444-4-444202-2-2-4000000224-2-200000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-88-4-4444444-4-4202-2-24000000-2-2-42200000000000000000000000000000000000000000000000000000000000
χ948-8-888-40000-84-4-8840000-4044-400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000044-44-4443−43−434320-2-220000000−2323023−2300000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000044-44-44−434343−4320-2-22000000023−230−232300000000000000000000000000000000000000000000000000000000000

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