Finite Group Databasebeta

← Group #11888603

Character table — Group #11888603

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444466888888888888888888888812121212121212121212121212121224242424242424242424242436364848727272
order1222334466666612121212234666881212121212121212242424244466668121212242424242424242424242424242422244668812122424242424466812121212242444612444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-111-1-1-1
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
χ5111111111111111111111111-1-111111111-1-1-1-1111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1111-11111-1-1-1-1-1-111-1
χ6111111111111111111111111-1-111111111-1-1-1-1111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11
χ7111111111111111111111111-1-111111111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1111111-1-1-1-11
χ8111111111111111111111111-1-111111111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11-1-1-1-111-1-11111-1
χ9111111111111111111-11-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-11111111111-11-111-1-1-1-1-1-1-111-11-11-1
χ10111111111111111111-11-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111111111-11-1-1-1-1-111-1-1-1-11-11-11
χ11111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-111-11
χ12111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-11-1
χ13111111111111111111-11-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1111111111-1-111-1-111-1-1-1-11-1-1111-1-1-1-111-1-11-1-111
χ14111111111111111111-11-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-111-1-11-1-1111111-111-1-1
χ15111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-11111-1-111-1-111111-1-111-111-1-1-1-1111-11-1-1
χ16111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-111-1-111-1-11111-111-1-1-11111-1-1-1-1-11-111
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-200002222220-2-2-200000000000000-200-22-2-2002200000000002-200000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-20000-2-222220-2-2-2000000000000002002-22200-2-20000000000-2200000000000
χ19222222-2-2222222-2-2-2-2-2222220022-2-2-2-2-2-2000022-2-2-2-2022200000000000000-2002-2-2-200220000000000-2200000000000
χ20222222-2-2222222-2-2-2-2-2222220022-2-2-2-2-2-20000-2-2-2-2-2-2022200000000000000200-222200-2-200000000002-200000000000
χ2122222-122-1222-1-122222-12-1-1-122-1-1-1-1-1-1-1-12222002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1022000000000000222-1-1000-1-10000-1-1000
χ2222222-122-1222-1-122222-12-1-1-122-1-1-1-1-1-1-1-12222002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000000000-2-2-21100011000011000
χ2322222-122-1222-1-122222-12-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-2002-1-1-1-22-1-1-2-2111111111111022000000000000-2-22-1-1000-1-1000011000
χ2422222-122-1222-1-122222-12-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-2002-1-1-1-22-1-1-2-21111111111110-2-200000000000022-211000110000-1-1000
χ2522222-122-1222-1-12222-2-1-2-1-1-12211-1-1-1-1-1-1222200-2111-2-211-2-2-1-1-1-1-1-1111111022000000000000-22-2-1-10001100001-1000
χ2622222-122-1222-1-12222-2-1-2-1-1-12211-1-1-1-1-1-1222200-2111-2-211-2-2-1-1-1-1-1-11111110-2-20000000000002-2211000-1-10000-11000
χ2722222-122-1222-1-12222-2-1-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200-21112-21122111111-1-1-1-1-1-10220000000000002-2-2-1-1000110000-11000
χ2822222-122-1222-1-12222-2-1-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200-21112-21122111111-1-1-1-1-1-10-2-2000000000000-22211000-1-100001-1000
χ292222-12222-1-1-122-1-1-1-12-12-1-1-1222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-122-1-1-1-122-1-1-1-120022-1-122-1-1-1-1-1-1000002-1-100-1-10000000
χ302222-12222-1-1-122-1-1-1-12-12-1-1-1222222-1-1-1-1-1-1-1-1-2-2-12-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-200-2-211-2-211111100000-21100110000000
χ312222-12222-1-1-122-1-1-1-12-12-1-1-1-2-22222-1-1-1-1111122-12-1-1-2-1-1-111-2-21111-2-2111120022-1-1-2-2-1-1111100000-2-1-100110000000
χ322222-12222-1-1-122-1-1-1-12-12-1-1-1-2-22222-1-1-1-11111-2-2-12-1-1-2-1-1-111-2-21111-2-21111-200-2-2112211-1-1-1-10000021100-1-10000000
χ332222-12222-1-1-122-1-1-1-1-2-1-2-1-1-122-2-222-1-1-1-1-1-1-1-1221-211-21111122-1-1-1-1-2-21111200-2-2-1-122-1-1-1-1-1-100000-21100110000000
χ342222-12222-1-1-122-1-1-1-1-2-1-2-1-1-122-2-222-1-1-1-1-1-1-1-1-2-21-211-21111122-1-1-1-1-2-21111-2002211-2-2111111000002-1-100-1-10000000
χ352222-12222-1-1-122-1-1-1-1-2-1-2-1-1-1-2-2-2-222-1-1-1-11111221-2112111-1-1-2-2111122-1-1-1-1200-2-2-1-1-2-2-1-111110000021100-1-10000000
χ362222-12222-1-1-122-1-1-1-1-2-1-2-1-1-1-2-2-2-222-1-1-1-11111-2-21-2112111-1-1-2-2111122-1-1-1-1-20022112211-1-1-1-100000-2-1-100110000000
χ372222-12-2-22-1-1-12211112-1-2-1-1-100-2-2-2-2111133−3−322-12-1-101113−30033−3−30033−3−3-200-221100-1-133−3−3000000-11003−30000000
χ382222-12-2-22-1-1-12211112-1-2-1-1-100-2-2-2-2111133−3−3-2-2-12-1-101113−30033−3−30033−3−32002-2-1-10011−3−3330000001-100−330000000
χ392222-12-2-22-1-1-12211112-1-2-1-1-100-2-2-2-21111−3−33322-12-1-10111−3300−3−33300−3−333-200-221100-1-1−3−333000000-1100−330000000
χ402222-12-2-22-1-1-12211112-1-2-1-1-100-2-2-2-21111−3−333-2-2-12-1-10111−3300−3−33300−3−3332002-2-1-1001133−3−30000001-1003−30000000
χ412222-12-2-22-1-1-1221111-2-12-1-1-10022-2-2111133−3−3221-2110-1-1-1−330033−3−300−3−333-2002-21100-1-133−3−30000001-100−330000000
χ422222-12-2-22-1-1-1221111-2-12-1-1-10022-2-2111133−3−3-2-21-2110-1-1-1−330033−3−300−3−333200-22-1-10011−3−333000000-11003−30000000
χ432222-12-2-22-1-1-1221111-2-12-1-1-10022-2-21111−3−333221-2110-1-1-13−300−3−3330033−3−3-2002-21100-1-1−3−3330000001-1003−30000000
χ442222-12-2-22-1-1-1221111-2-12-1-1-10022-2-21111−3−333-2-21-2110-1-1-13−300−3−3330033−3−3200-22-1-1001133−3−3000000-1100−330000000
χ452-22-2222-2-2-2-22-2222-2-2020-2-2200002-222-2-2000000000000000000000000000002-200002i−2i002i−2i2i−2i0002-200000002i−2i00000
χ462-22-2222-2-2-2-22-2222-2-2020-2-2200002-222-2-2000000000000000000000000000002-20000−2i2i00−2i2i−2i2i0002-20000000−2i2i00000
χ472-22-2222-2-2-2-22-2222-2-2020-2-2200002-222-2-200000000000000000000000000000-2200002i−2i002i−2i2i−2i000-220000000−2i2i00000
χ482-22-2222-2-2-2-22-2222-2-2020-2-2200002-222-2-200000000000000000000000000000-220000−2i2i00−2i2i−2i2i000-2200000002i−2i00000
χ4944444-2-4-4-2444-2-2-4-4-4-44-2-4-2-2-200222222220000004-2-2-20-422000000000000000000000000000000000000000000000000
χ5044444-2-4-4-2444-2-2-4-4-4-4-4-24-2-2-200-2-2222222000000-422204-2-2000000000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-2-2-2-241411144-2-2-2-21111-2-2-2-200-2-2114-211-2-2-2-21111-2-211110000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-2-2-2-2414111-4-4-2-2-2-21111222200-2-211-4-2112222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-2-2-2-2-41-41114422-2-21111-2-2-2-20022-1-1-42-1-122-2-2111122-1-1-1-10000000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-2-41-4111-4-422-2-2111122220022-1-142-1-1-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222241-4111002222-1-1-1-12323−23−2300-2-21102-1-123−2300−3−33300−3−3330000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222241-4111002222-1-1-1-1−23−23232300-2-21102-1-1−23230033−3−30033−3−30000000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-22222-41411100-2-222-1-1-1-12323−23−230022-1-10-211−232300−3−3330033−3−30000000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-22222-41411100-2-222-1-1-1-1−23−2323230022-1-10-21123−230033−3−300−3−3330000000000000000000000000000000000
χ5944-4-44400-44-4-44-400000404-4-4000000000000004i−4i00000000000000000000000000000004i−4i00000000000000000000000
χ6044-4-44400-44-4-44-400000404-4-400000000000000−4i4i0000000000000000000000000000000−4i4i00000000000000000000000
χ6144-4-4-2400-4-2224-423−2323−230-20-22200000023−2323−2300004i−4i000000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ6244-4-4-2400-4-2224-423−2323−230-20-22200000023−2323−230000−4i4i0000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ6344-4-4-2400-4-2224-4−2323−23230-20-222000000−2323−232300004i−4i0000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ6444-4-4-2400-4-2224-4−2323−23230-20-222000000−2323−23230000−4i4i000000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ654-44-444-44-4-4-44-44-4-444040-4-440000-44-4-44400000000000000000000000000000000000000000000000000000000000000
χ664-44-44-24-42-4-442-244-4-40-2022-20000-22-2-222000000000000000000000000000004-4000000000000000-2200000000000000
χ674-44-44-24-42-4-442-244-4-40-2022-20000-22-2-22200000000000000000000000000000-440000000000000002-200000000000000
χ684-44-44-2-442-4-442-2-4-4440-2022-200002-222-2-2000000000000000000000000000000000000000000000000000−2i32i3000000000
χ694-44-44-2-442-4-442-2-4-4440-2022-200002-222-2-20000000000000000000000000000000000000000000000000002i3−2i3000000000
χ704-44-4-244-4-422-2-44-2-2220-2022-200004-4-2-222000000000000000000000000000000000004i−4i00−2i2i−2i2i0000000000000000000
χ714-44-4-244-4-422-2-44-2-2220-2022-200004-4-2-22200000000000000000000000000000000000−4i4i002i−2i2i−2i0000000000000000000
χ724-44-4-24-44-422-2-4422-2-20-2022-20000-4422-2-2000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000
χ734-44-4-24-44-422-2-4422-2-20-2022-20000-4422-2-20000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000
χ744-4-4444004-44-4-4-40000040-44-4−2i22i200000000−2i22i2−2i22i2000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ754-4-4444004-44-4-4-40000040-44-42i2−2i2000000002i2−2i22i2−2i20000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ764-4-444-200-2-44-42200000-202-22−2i22i223−23000000−2i22i2−2i22i20000000023−2300i2−i2i2−i2i2−i2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ774-4-444-200-2-44-42200000-202-22−2i22i2−2323000000−2i22i2−2i22i200000000−232300i2−i2i2−i2i2−i2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ784-4-444-200-2-44-42200000-202-222i2−2i223−230000002i2−2i22i2−2i20000000023−2300−i2i2−i2i2−i2i2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ794-4-444-200-2-44-42200000-202-222i2−2i2−23230000002i2−2i22i2−2i200000000−232300−i2i2−i2i2−i2i2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ804-4-44-240042-22-4-423−23−23230-202-22−2i22i2000023−23−23232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000
χ814-4-44-240042-22-4-423−23−23230-202-222i2−2i2000023−23−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000
χ824-4-44-240042-22-4-4−232323−230-202-22−2i22i20000−232323−232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000
χ834-4-44-240042-22-4-4−232323−230-202-222i2−2i20000−232323−23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000
χ844-4-44-2-200-22-222223−23−2323010-11-1−2i22i223−2300−333−32ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300003-300−3300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ854-4-44-2-200-22-222223−23−2323010-11-1−2i22i2−232300−333−32ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000-33003−300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ864-4-44-2-200-22-222223−23−2323010-11-12i2−2i223−2300−333−3−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300003-300−3300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ874-4-44-2-200-22-222223−23−2323010-11-12i2−2i2−232300−333−3−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000-33003−300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ884-4-44-2-200-22-2222−232323−23010-11-1−2i22i223−23003−3−332ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000-3300−3300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ894-4-44-2-200-22-2222−232323−23010-11-1−2i22i2−2323003−3−332ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700003-3003−300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ904-4-44-2-200-22-2222−232323−23010-11-12i2−2i223−23003−3−33−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000-3300−3300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ914-4-44-2-200-22-2222−232323−23010-11-12i2−2i2−2323003−3−33−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700003-3003−300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ9288-8-88-40048-8-8-4400000-40-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4004-444-4443−4343−430202-2-2000000−2323−232300000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4004-444-44−4343−43430202-2-200000023−2323−2300000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-48-8444-44-4-4-444020-2-220000-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4-88444-44-444-4-4020-2-2200004-4-2-22200000000000000000000000000000000000000000000000000000000000000

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