Finite Group Databasebeta

← Group #11884039

Character table — Group #11884039

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444466888888888888888888888812121212121212121212121212121224242424242424242424242436364848727272
order1222334466666612121212344666881212121212121212242424242281212121212121224242424242424242424242424242224466881212242424242446668121212242444612224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-11-1-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111111111111-1-111111111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-11-1111-1111-1-1-1-1-1-111-1
χ6111111111111111111111111-1-111111111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-11-111-1-1-11-1-1-1-11111-1-11
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-1111-1111111-1-1-1-11
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-1-11-1-1-111-1-11111-1
χ91111111111111111111-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-11111111111-1-11-111-1-1-1-1-1-111-111-1-1
χ101111111111111111111-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-111-1-1-1-11-1-111
χ111111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111
χ121111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-111-11-1-1111111111-11-1-1
χ131111111111111111111-1-1111-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1111-111-1-111-1-1-1-11-1-1-1111-1-1-111-1-11-11-11
χ141111111111111111111-1-1111-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-111-1-111-1-1-1-1-111-1-1-11-1111111-11-11-1
χ151111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-111-1-111111-1-1111-11-1-1-1-1111-1-11-1
χ161111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-11-1-111-1-11111-1111-1-1-1111-1-1-1-1-111-11
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-2000022022-222-2-200000000000000-200-222200-2-20000000-2000200000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-20000-2-2022-222-2-2000000000000002002-2-2-2002200000002000-200000000000
χ19222222-2-2222222-2-2-2-22-2222200-222-2-2-2-2-20000220-2-22-2-22200000000000000200-2-22200-2-200000002000-200000000000
χ20222222-2-2222222-2-2-2-22-2222200-222-2-2-2-2-20000-2-20-2-22-2-22200000000000000-20022-2-200220000000-2000200000000000
χ2122222-12222-12-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220022-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10220000000000002220-1-100-1-10000-1-1000
χ2222222-12222-12-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220022-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000000000-2-2-20110011000011000
χ2322222-12222-12-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200-22-12-1-1-1-1-2-2111111111111022000000000000-22-20-1-100-1-1000011000
χ2422222-12222-12-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200-22-12-1-1-1-1-2-21111111111110-2-20000000000002-2201100110000-1-1000
χ2522222-12222-12-1-12222-1-2-2-1-1-122-111-1-1-1-1-1222200-2-21-21111-2-2-1-1-1-1-1-1111111022000000000000-2-220-1-1001100001-1000
χ2622222-12222-12-1-12222-1-2-2-1-1-122-111-1-1-1-1-1222200-2-21-21111-2-2-1-1-1-1-1-11111110-2-200000000000022-201100-1-10000-11000
χ2722222-12222-12-1-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-2002-21-2111122111111-1-1-1-1-1-10220000000000002-2-20-1-100110000-11000
χ2822222-12222-12-1-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-2002-21-2111122111111-1-1-1-1-1-10-2-2000000000000-22201100-1-100001-1000
χ292222-1222-1-12-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1222-12-1-1-1-1-1-1-122-1-1-1-122-1-1-1-120022-1-122-1-1-1-1-1-1000-1002-100-1-10000000
χ302222-1222-1-12-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-22-12-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200-2-211-2-2111111000100-2100110000000
χ312222-1222-1-12-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-1111122-2-12-1-1-1-1-111-2-21111-2-2111120022-1-1-2-2-1-11111000-100-2-100110000000
χ322222-1222-1-12-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-12-1-1-1-1-111-2-21111-2-21111-200-2-2112211-1-1-1-10001002100-1-10000000
χ332222-1222-1-12-122-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-122-21-2111111122-1-1-1-1-2-21111-2002-2-1-122-1-1-1-1-1-1000100-2100110000000
χ342222-1222-1-12-122-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-1-2-2-21-2111111122-1-1-1-1-2-21111200-2211-2-2111111000-1002-100-1-10000000
χ352222-1222-1-12-122-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-111112221-211111-1-1-2-2111122-1-1-1-1-2002-2-1-1-2-2-1-111110001002100-1-10000000
χ362222-1222-1-12-122-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-11111-2-221-211111-1-1-2-2111122-1-1-1-1200-22112211-1-1-1-1000-100-2-100110000000
χ372222-12-2-2-1-12-1221111-12-2-1-1-100-2-2-211-21133−3−3220-121-1-1113−30033−3−30033−3−3-200-22-1-1001133−3−30001000-1003−30000000
χ382222-12-2-2-1-12-1221111-12-2-1-1-100-2-2-211-21133−3−3-2-20-121-1-1113−30033−3−30033−3−32002-21100-1-1−3−333000-1000100−330000000
χ392222-12-2-2-1-12-1221111-12-2-1-1-100-2-2-211-211−3−333220-121-1-111−3300−3−33300−3−333-200-22-1-10011−3−3330001000-100−330000000
χ402222-12-2-2-1-12-1221111-12-2-1-1-100-2-2-211-211−3−333-2-20-121-1-111−3300−3−33300−3−3332002-21100-1-133−3−3000-10001003−30000000
χ412222-12-2-2-1-12-1221111-1-22-1-1-100-22211-21133−3−32201-2-111-1-1−330033−3−300−3−333200-2-2-1-1001133−3−3000-1000100−330000000
χ422222-12-2-2-1-12-1221111-1-22-1-1-100-22211-21133−3−3-2-201-2-111-1-1−330033−3−300−3−333-200221100-1-1−3−3330001000-1003−30000000
χ432222-12-2-2-1-12-1221111-1-22-1-1-100-22211-211−3−3332201-2-111-1-13−300−3−3330033−3−3200-2-2-1-10011−3−333000-10001003−30000000
χ442222-12-2-2-1-12-1221111-1-22-1-1-100-22211-211−3−333-2-201-2-111-1-13−300−3−3330033−3−3-200221100-1-133−3−30001000-100−330000000
χ452-2-2222-22-2-2-222-2-2-2222002-2-200-200-2-2222000000000000000000000000000002-200002-2002-22-200002-20000002-200000
χ462-2-2222-22-2-2-222-2-2-2222002-2-200-200-2-2222000000000000000000000000000002-20000-2200-22-2200002-2000000-2200000
χ472-2-2222-22-2-2-222-2-2-2222002-2-200-200-2-222200000000000000000000000000000-2200002-2002-22-20000-22000000-2200000
χ482-2-2222-22-2-2-222-2-2-2222002-2-200-200-2-222200000000000000000000000000000-220000-2200-22-220000-220000002-200000
χ4944444-2-4-444-24-2-2-4-4-4-4-24-4-2-2-2002222222200000004-2-4-2-222000000000000000000000000000000000000000000000000
χ5044444-2-4-444-24-2-2-4-4-4-4-2-44-2-2-2002-2-2222220000000-42422-2-2000000000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-2-2-2-214411144-2-2-211-211-2-2-2-2004-2-2-21111-2-2-2-21111-2-211110000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-2-2-2-2144111-4-4-2-2-211-211222200-4-2-2-211112222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-2-2-2-21-4-411144-22211-211-2-2-2-200-4222-1-1-1-122-2-2111122-1-1-1-10000000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-4-22211-2112222004222-1-1-1-1-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222214-411100222-1-12-1-12323−23−23000-2-2211-1-123−2300−3−33300−3−3330000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222214-411100222-1-12-1-1−23−232323000-2-2211-1-1−23230033−3−30033−3−30000000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-222221-44111002-2-2-1-12-1-12323−23−2300022-2-1-111−232300−3−3330033−3−30000000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-222221-44111002-2-2-1-12-1-1−23−23232300022-2-1-11123−230033−3−300−3−3330000000000000000000000000000000000
χ5944-4-444004-44-4-4-40000400-44-4−2i22i200000000−2i22i2−2i22i2000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6044-4-444004-44-4-4-40000400-44-42i2−2i2000000002i2−2i22i2−2i20000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6144-4-44-2004-4-2-4220000-2002-22−2i22i2023−2300000−2i22i2−2i22i20000000023−2300i2−i2i2−i2i2−i2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ6244-4-44-2004-4-2-4220000-2002-22−2i22i20−232300000−2i22i2−2i22i200000000−232300i2−i2i2−i2i2−i2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ6344-4-44-2004-4-2-4220000-2002-222i2−2i2023−23000002i2−2i22i2−2i20000000023−2300−i2i2−i2i2−i2i2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ6444-4-44-2004-4-2-4220000-2002-222i2−2i20−2323000002i2−2i22i2−2i200000000−232300−i2i2−i2i2−i2i2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ6544-4-4-2400-2242-4-423−2323−23-2002-22−2i22i200023−23023−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000
χ6644-4-4-2400-2242-4-423−2323−23-2002-222i2−2i200023−23023−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000
χ6744-4-4-2400-2242-4-4−2323−2323-2002-22−2i22i2000−23230−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000
χ6844-4-4-2400-2242-4-4−2323−2323-2002-222i2−2i2000−23230−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000
χ6944-4-4-2-200-22-222223−2323−23100-11-1−2i22i2023−23−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000003-3−3300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ7044-4-4-2-200-22-222223−2323−23100-11-1−2i22i20−2323−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000-333−300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ7144-4-4-2-200-22-222223−2323−23100-11-12i2−2i2023−23−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000003-3−3300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ7244-4-4-2-200-22-222223−2323−23100-11-12i2−2i20−2323−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000-333−300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ7344-4-4-2-200-22-2222−2323−2323100-11-1−2i22i2023−233−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000-33−3300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ7444-4-4-2-200-22-2222−2323−2323100-11-1−2i22i20−23233−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000003-33−300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ7544-4-4-2-200-22-2222−2323−2323100-11-12i2−2i2023−233−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000-33−3300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ7644-4-4-2-200-22-2222−2323−2323100-11-12i2−2i20−23233−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000003-33−300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ774-44-44400-44-4-4-440000400-4-44000000000000004-40000000000000000000000000004-4000000000000000000000000000
χ784-44-44400-44-4-4-440000400-4-4400000000000000-44000000000000000000000000000-44000000000000000000000000000
χ794-44-4-24002-2-42-4423−23−2323-20022-20000023−230−232300004-4000000000000000000000000000-220023−2300000000000000000000000
χ804-44-4-24002-2-42-4423−23−2323-20022-20000023−230−23230000-440000000000000000000000000002-200−232300000000000000000000000
χ814-44-4-24002-2-42-44−232323−23-20022-200000−2323023−2300004-4000000000000000000000000000-2200−232300000000000000000000000
χ824-44-4-24002-2-42-44−232323−23-20022-200000−2323023−230000-440000000000000000000000000002-20023−2300000000000000000000000
χ834-4-44444-4-4-4-444-444-4-44004-4-40040044-4-4-400000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-4-4-424-2244-4-4-200-22200-200-2-222200000000000000000000000000000000000000000000000000023−23000000000
χ854-4-444-24-4-4-424-2244-4-4-200-22200-200-2-2222000000000000000000000000000000000000000000000000000−2323000000000
χ864-4-444-2-44-4-424-22-4-444-200-2220020022-2-2-2000000000000000000000000000004-40000000000000000-220000000000000
χ874-4-444-2-44-4-424-22-4-444-200-2220020022-2-2-200000000000000000000000000000-4400000000000000002-20000000000000
χ884-4-44-244-422-4-24-4-2-222-200-22200400-2-2-42200000000000000000000000000000000000000023−23−23230000000000000000000
χ894-4-44-244-422-4-24-4-2-222-200-22200400-2-2-422000000000000000000000000000000000000000−232323−230000000000000000000
χ904-4-44-24-4422-4-24-422-2-2-200-22200-400224-2-2000000000000000000000000000000000004-400-22-220000000000000000000
χ914-4-44-24-4422-4-24-422-2-2-200-22200-400224-2-200000000000000000000000000000000000-44002-22-20000000000000000000
χ928-88-88-400-884-84-40000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-4444-443−43−4343200-2-2200000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4004-4444-4−434343−43200-2-220000023−230−232300000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-8444-4-44-4-4442002-2-200-400224-2-200000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-88444-4-4444-4-42002-2-200400-2-2-42200000000000000000000000000000000000000000000000000000000000000

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