Finite Group Databasebeta

← Group #11872762

Character table — Group #11872762

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order12223344666666121212123446668812121212121212122424242444448121212121212122424242424242424242424242424222444881212121224242424226668121212242422446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111-1111-1-11111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1111-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1-111111111-1-1
χ91111111111111111111-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-111111111111-1-111-1-1-1-1-1-1-1-1111-1-11
χ101111111111111111111-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-111-1-111-1-1-111-1
χ111111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-11111-1-11-11-1
χ121111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-11-11
χ131111111111111111111-1-1111-1-11-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-1-11-1111-1-1-111-1-111-111-1
χ141111111111111111111-1-1111-1-11-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11-1111111-1-11-1-11
χ151111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-11111-11111-11-1-1-1-111-1-1-11-11
χ161111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111111-1-1-1-111111-11-1-1-1111-1-1-1-1111-11-1
χ17222222-2-2222222-2-2-2-222-222200-222-2-2-2-2-2000022-2-20-22-222-2-200000000000000-2002000022-2-2000000-20002000000000000
χ18222222-2-2222222-2-2-2-222-222200-222-2-2-2-2-20000-2-2220-22-222-2-200000000000000200-20000-2-2220000002000-2000000000000
χ19222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-2000022-2-202-22-2-22200000000000000200-2000022-2-20000002000-2000000000000
χ20222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-20000-2-22202-22-2-22200000000000000-20020000-2-222000000-20002000000000000
χ2122222-122-1-1222-12222-122-1-1-122-1-1-1-1-1-1-1-1222200002-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10220220000000000220-1-100-1-1000000-1-100
χ2222222-122-1-1222-12222-122-1-1-122-1-1-1-1-1-1-1-1222200002-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000000000-2-201100110000001100
χ2322222-122-1-1222-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-2-122-1-1-1-1-2-21111111111110220220000000000-2-20-1-100-1-10000001100
χ2422222-122-1-1222-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-2-122-1-1-1-1-2-21111111111110-2-20-2-20000000000220110011000000-1-100
χ2522222-122-1-1222-12222-1-2-2-1-1-122-111-1-1-1-1-122220000-21-2-21111-2-2-1-1-1-1-1-11111110220-2-200000000002-20-1-10011000000-1100
χ2622222-122-1-1222-12222-1-2-2-1-1-122-111-1-1-1-1-122220000-21-2-21111-2-2-1-1-1-1-1-11111110-2-20220000000000-2201100-1-10000001-100
χ2722222-122-1-1222-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-2000021-2-2111122111111-1-1-1-1-1-10220-2-20000000000-220-1-100110000001-100
χ2822222-122-1-1222-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-2000021-2-2111122111111-1-1-1-1-1-10-2-202200000000002-201100-1-1000000-1100
χ292222-122222-1-1-12-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-120020022-1-1-1-1-1-1-1-100-1002-100-1-100000000
χ302222-122222-1-1-12-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200-200-2-21111111100100-21001100000000
χ312222-122222-1-1-12-1-1-1-1-122-1-1-1-2-2222-1-12-1-111112222-22-1-1-1-1-1-111-2-21111-2-21111200200-2-2-1-1-1-1111100-100-2-1001100000000
χ322222-122222-1-1-12-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-2-22-1-1-1-1-1-111-2-21111-2-21111-200-200221111-1-1-1-1001002100-1-100000000
χ332222-122222-1-1-12-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-12222-2-21111111122-1-1-1-1-2-21111-200-20022-1-1-1-1-1-1-1-100100-21001100000000
χ342222-122222-1-1-12-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-1-2-2-2-2-2-21111111122-1-1-1-1-2-21111200200-2-21111111100-1002-100-1-100000000
χ352222-122222-1-1-12-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-1111122222-2111111-1-1-2-2111122-1-1-1-1-200-200-2-2-1-1-1-11111001002100-1-100000000
χ362222-122222-1-1-12-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-11111-2-2-2-22-2111111-1-1-2-2111122-1-1-1-1200200221111-1-1-1-100-100-2-1001100000000
χ372222-12-2-222-1-1-121111-12-2-1-1-100-22211-21133−3−322-2-20-2-11-1-1113−30033−3−30033−3−3-20020000-1-11133−3−3001000-1003−300000000
χ382222-12-2-222-1-1-121111-12-2-1-1-100-22211-21133−3−3-2-2220-2-11-1-1113−30033−3−30033−3−3200-2000011-1-1−3−33300-1000100−3300000000
χ392222-12-2-222-1-1-121111-12-2-1-1-100-22211-211−3−33322-2-20-2-11-1-111−3300−3−33300−3−333-20020000-1-111−3−333001000-100−3300000000
χ402222-12-2-222-1-1-121111-12-2-1-1-100-22211-211−3−333-2-2220-2-11-1-111−3300−3−33300−3−333200-2000011-1-133−3−300-10001003−300000000
χ412222-12-2-222-1-1-121111-1-22-1-1-100-2-2-211-21133−3−322-2-2021-111-1-1−330033−3−300−3−333200-20000-1-11133−3−300-1000100−3300000000
χ422222-12-2-222-1-1-121111-1-22-1-1-100-2-2-211-21133−3−3-2-222021-111-1-1−330033−3−300−3−333-2002000011-1-1−3−333001000-1003−300000000
χ432222-12-2-222-1-1-121111-1-22-1-1-100-2-2-211-211−3−33322-2-2021-111-1-13−300−3−3330033−3−3200-20000-1-111−3−33300-10001003−300000000
χ442222-12-2-222-1-1-121111-1-22-1-1-100-2-2-211-211−3−333-2-222021-111-1-13−300−3−3330033−3−3-2002000011-1-133−3−3001000-100−3300000000
χ4522-2-2222-22-22-2-2-222-2-22002-2-200-200-2-222200002i−2i2i−2i000000000000000000000002-2000002i−2i2i−2i00000002-2000000002i−2i0000
χ4622-2-2222-22-22-2-2-222-2-22002-2-200-200-2-222200002i−2i2i−2i00000000000000000000000-22000002i−2i2i−2i0000000-2200000000−2i2i0000
χ4722-2-2222-22-22-2-2-222-2-22002-2-200-200-2-22220000−2i2i−2i2i000000000000000000000002-200000−2i2i−2i2i00000002-200000000−2i2i0000
χ4822-2-2222-22-22-2-2-222-2-22002-2-200-200-2-22220000−2i2i−2i2i00000000000000000000000-2200000−2i2i−2i2i0000000-22000000002i−2i0000
χ4922-2-222-222-22-2-2-2-2-2222002-2-20020022-2-2-200002i−2i−2i2i000000000000000000000000002i−2i002i−2i−2i2i000000000002i−2i002-2000000
χ5022-2-222-222-22-2-2-2-2-2222002-2-20020022-2-2-200002i−2i−2i2i00000000000000000000000000−2i2i002i−2i−2i2i00000000000−2i2i00-22000000
χ5122-2-222-222-22-2-2-2-2-2222002-2-20020022-2-2-20000−2i2i2i−2i000000000000000000000000002i−2i00−2i2i2i−2i000000000002i−2i00-22000000
χ5222-2-222-222-22-2-2-2-2-2222002-2-20020022-2-2-20000−2i2i2i−2i00000000000000000000000000−2i2i00−2i2i2i−2i00000000000−2i2i002-2000000
χ5344444-2-4-4-2-2444-2-4-4-4-4-24-4-2-2-2002-2-22222200000000024-4-2-2220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-2-2444-2-4-4-4-4-2-44-2-2-20022222222000000000-2-4422-2-20000000000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-214411144-2-2-211-211-2-2-2-200004-2-2-21111-2-2-2-21111-2-2111100000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2144111-4-4-2-2-211-21122220000-4-2-2-211112222-1-1-1-122-1-1-1-100000000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-2-2-2-21-4-411144-22211-211-2-2-2-20000-4222-1-1-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-4-22211-211222200004222-1-1-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222214-4111002-2-2-1-12-1-12323−23−23000002-2211-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222214-4111002-2-2-1-12-1-1−23−232323000002-2211-1-1−23230033−3−30033−3−300000000000000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-12323−23−2300000-22-2-1-111−232300−3−3330033−3−300000000000000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-1−23−23232300000-22-2-1-11123−230033−3−300−3−33300000000000000000000000000000000000
χ6344-4-44-24-4-224-4-4244-4-4-200-2220020022-2-2-200000000000000000000000000000004-40000000000000000-2200000000000000
χ6444-4-44-24-4-224-4-4244-4-4-200-2220020022-2-2-20000000000000000000000000000000-4400000000000000002-200000000000000
χ6544-4-44-2-44-224-4-42-4-444-200-22200-200-2-222200000000000000000000000000000000004i−4i00000000000000000−2i2i0000000000
χ6644-4-44-2-44-224-4-42-4-444-200-22200-200-2-22220000000000000000000000000000000000−4i4i000000000000000002i−2i0000000000
χ6744-4-4-244-44-4-222-4-2-222-200-22200-400224-2-200004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i00000000000000000000000
χ6844-4-4-244-44-4-222-4-2-222-200-22200-400224-2-20000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i00000000000000000000000
χ6944-4-4-24-444-4-222-422-2-2-200-22200400-2-2-42200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000
χ7044-4-4-24-444-4-222-422-2-2-200-22200400-2-2-4220000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000
χ714-44-44400-4-4-44-440000400-44-422−220000000022−2222−220000000000000022−2222−2222−2200000000000000000000000000000000000000000
χ724-44-44400-4-4-44-440000400-44-4−222200000000−2222−222200000000000000−2222−2222−222200000000000000000000000000000000000000000
χ734-44-44-20022-44-4-20000-2002-2222−220−2i32i30000022−2222−2200000000−2i32i30000−22−22−22i6−i6i6−i6i6−i600000000000000000000000000000000000
χ744-44-44-20022-44-4-20000-2002-2222−2202i3−2i30000022−2222−22000000002i3−2i30000−22−22−22−i6i6−i6i6−i6i600000000000000000000000000000000000
χ754-44-44-20022-44-4-20000-2002-22−22220−2i32i300000−2222−222200000000−2i32i300002−22−22−2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ764-44-44-20022-44-4-20000-2002-22−222202i3−2i300000−2222−2222000000002i3−2i300002−22−22−2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ774-44-4-2400-4-42-22423−2323−23-2002-2222−2200023−23023−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000
χ784-44-4-2400-4-42-22423−2323−23-2002-22−222200023−23023−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000
χ794-44-4-2400-4-42-224−2323−2323-2002-2222−22000−23230−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000
χ804-44-4-2400-4-42-224−2323−2323-2002-22−2222000−23230−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000
χ814-44-4-2-200222-22-223−2323−23100-11-122−220−2i32i3−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000i3−i33i−3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ824-44-4-2-200222-22-223−2323−23100-11-122−2202i3−2i3−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000−i3i3−3i3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ834-44-4-2-200222-22-223−2323−23100-11-1−22220−2i32i3−330−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000i3−i33i−3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ844-44-4-2-200222-22-223−2323−23100-11-1−222202i3−2i3−330−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000−i3i3−3i3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ854-44-4-2-200222-22-2−2323−2323100-11-122−220−2i32i33−303−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000i3−i3−3i3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ864-44-4-2-200222-22-2−2323−2323100-11-122−2202i3−2i33−303−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000−i3i33i−3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ874-44-4-2-200222-22-2−2323−2323100-11-1−22220−2i32i33−303−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000i3−i3−3i3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ884-44-4-2-200222-22-2−2323−2323100-11-1−222202i3−2i33−303−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000−i3i33i−3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ894-4-444400-44-4-44-40000400-4-44000000000000000000000000000000000000000000000022−22000022−2222−220000000000000000000
χ904-4-444400-44-4-44-40000400-4-440000000000000000000000000000000000000000000000−22220000−2222−22220000000000000000000
χ914-4-44-2400-4422-2-423−23−2323-20022-200000−2323023−2300000000000000000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000
χ924-4-44-2400-4422-2-423−23−2323-20022-200000−2323023−23000000000000000000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000
χ934-4-44-2400-4422-2-4−232323−23-20022-20000023−230−232300000000000000000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000
χ944-4-44-2400-4422-2-4−232323−23-20022-20000023−230−2323000000000000000000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000
χ9588-8-8-4-48-8-44-4444-4-4442002-2-200400-2-2-42200000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-88-44-444444-4-42002-2-200-400224-2-200000000000000000000000000000000000000000000000000000000000000000
χ978-8-888-4004-4-8-8840000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-444-4443−43−4343200-2-220000023−230−232300000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4004-444-44−434343−43200-2-2200000−2323023−2300000000000000000000000000000000000000000000000000000000000000000

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