Finite Group Databasebeta

← Group #13018750

Character table — Group #13018750

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222224444444444444444444444444444888888888888888888888888101010101010101010101010202020202020202020208080808080808080
order12224444445888888888888101010202020202020202020202020404040404040404040404040404040404040404040404040224488888888448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ8111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ911111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-11-1
χ1011111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-11-11
χ1111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111i−i−iii−i−ii
χ1211111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−iii−i−iii−i
χ1311111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-11-11
χ1411111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-11-1
χ1511111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1i−i−ii−iii−i
χ1611111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1−iii−ii−i−ii
χ17222222-2-2-2-22000000002i2i−2i−2i2222222-2-2-2-2-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i22-2-2000000002-200002i2i−2i−2i00000000
χ18222222-2-2-2-22000000002i2i−2i−2i2222222-2-2-2-2-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i-2-22200000000-220000−2i−2i2i2i00000000
χ19222222-2-2-2-2200000000−2i−2i2i2i2222222-2-2-2-2-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i22-2-2000000002-20000−2i−2i2i2i00000000
χ20222222-2-2-2-2200000000−2i−2i2i2i2222222-2-2-2-2-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i-2-22200000000-2200002i2i−2i−2i00000000
χ212222-2-222-2-2200002i2i−2i−2i0000222-2-2-2-22222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i0000000022-2-200000000-222i2i−2i−2i000000000000
χ222222-2-222-2-2200002i2i−2i−2i0000222-2-2-2-22222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000-2-222000000002-2−2i−2i2i2i000000000000
χ232222-2-222-2-220000−2i−2i2i2i0000222-2-2-2-22222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i0000000022-2-200000000-22−2i−2i2i2i000000000000
χ242222-2-222-2-220000−2i−2i2i2i0000222-2-2-2-22222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000-2-222000000002-22i2i−2i−2i000000000000
χ252222-2-2-2-222222-2-200000000222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000022222222-2-2-2-2-2-20000000000000000
χ262222-2-2-2-222222-2-200000000222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222220000000000000000
χ272222-2-2-2-2222-2-22200000000222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000002222-2-2-2-22222-2-20000000000000000
χ282222-2-2-2-2222-2-22200000000222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-2220000000000000000
χ2922-2-200002-22002-2i2−i2i2−i2i2−i2i2−i22-2-20000000022-2-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2-22000022-2-200i2−i2i2−i2i2−i2i2−i200000000
χ3022-2-200002-22002-2i2−i2i2−i2i2−i2i2−i22-2-20000000022-2-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-222-20000-2-22200−i2i2−i2i2−i2i2−i2i200000000
χ3122-2-200002-22002-2−i2i2−i2i2−i2i2−i2i22-2-20000000022-2-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2-22000022-2-200−i2i2−i2i2−i2i2−i2i200000000
χ3222-2-200002-22002-2−i2i2−i2i2−i2i2−i2i22-2-20000000022-2-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-222-20000-2-22200i2−i2i2−i2i2−i2i2−i200000000
χ3322-2-200002-2200-22i2−i2i2−i2−i2i2−i2i22-2-20000000022-2-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22-2-220000-2-22200i2−i2i2−i2−i2i2−i2i200000000
χ3422-2-200002-2200-22i2−i2i2−i2−i2i2−i2i22-2-20000000022-2-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-222-2000022-2-200−i2i2−i2i2i2−i2i2−i200000000
χ3522-2-200002-2200-22−i2i2−i2i2i2−i2i2−i22-2-20000000022-2-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22-2-220000-2-22200−i2i2−i2i2i2−i2i2−i200000000
χ3622-2-200002-2200-22−i2i2−i2i2i2−i2i2−i22-2-20000000022-2-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-222-2000022-2-200i2−i2i2−i2−i2i2−i2i200000000
χ3722-2-20000-2222-2002−2−222−2−222-2-200000000-2-22222-2-2000022−2−2−2−22222−2−2−2−2222-22-222-2-20000002−2−222−2−2200000000
χ3822-2-20000-2222-2002−2−222−2−222-2-200000000-2-22222-2-2000022−2−2−2−22222−2−2−2−222-22-22-2-222000000−222−2−222−200000000
χ3922-2-20000-2222-200−222−2−222−22-2-200000000-2-22222-2-20000−2−22222−2−2−2−22222−2−22-22-222-2-2000000−222−2−222−200000000
χ4022-2-20000-2222-200−222−2−222−22-2-200000000-2-22222-2-20000−2−22222−2−2−2−22222−2−2-22-22-2-2220000002−2−222−2−2200000000
χ4122-2-20000-222-22002−2−22−222−22-2-200000000-2-222-2-222000022−2−2−2−222−2−22222−2−22-22-2-2-2220000002−2−22−222−200000000
χ4222-2-20000-222-22002−2−22−222−22-2-200000000-2-222-2-222000022−2−2−2−222−2−22222−2−2-22-2222-2-2000000−222−22−2−2200000000
χ4322-2-20000-222-2200−222−22−2−222-2-200000000-2-222-2-2220000−2−22222−2−222−2−2−2−2222-22-2-2-222000000−222−22−2−2200000000
χ4422-2-20000-222-2200−222−22−2−222-2-200000000-2-222-2-2220000−2−22222−2−222−2−2−2−222-22-2222-2-20000002−2−22−222−200000000
χ454444444444-1444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ464444444444-14444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000
χ474444444444-1-4-4-4-44444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000
χ484444444444-1-4-4-4-4-4-4-4-44444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ49444444-4-4-4-4-1000000004i4i−4i−4i-1-1-1-1-1-1-111111111i5−i5i5−i5i5−i5i5−i55−55−55−55−5−i−i−i−iiiii000000000000000000000000000000
χ50444444-4-4-4-4-1000000004i4i−4i−4i-1-1-1-1-1-1-111111111−i5i5−i5i5−i5i5−i5i5−55−55−55−55−i−i−i−iiiii000000000000000000000000000000
χ51444444-4-4-4-4-100000000−4i−4i4i4i-1-1-1-1-1-1-111111111i5−i5i5−i5i5−i5i5−i5−55−55−55−55iiii−i−i−i−i000000000000000000000000000000
χ52444444-4-4-4-4-100000000−4i−4i4i4i-1-1-1-1-1-1-111111111−i5i5−i5i5−i5i5−i5i55−55−55−55−5iiii−i−i−i−i000000000000000000000000000000
χ534444-4-444-4-4-100004i4i−4i−4i0000-1-1-11111-1-1-1-11111i5−i5i5−i5−i5i5−i5i5−i−i−i−iiiii5−55−55−55−5000000000000000000000000000000
χ544444-4-444-4-4-100004i4i−4i−4i0000-1-1-11111-1-1-1-11111−i5i5−i5i5i5−i5i5−i5−i−i−i−iiiii−55−55−55−55000000000000000000000000000000
χ554444-4-444-4-4-10000−4i−4i4i4i0000-1-1-11111-1-1-1-11111i5−i5i5−i5−i5i5−i5i5iiii−i−i−i−i−55−55−55−55000000000000000000000000000000
χ564444-4-444-4-4-10000−4i−4i4i4i0000-1-1-11111-1-1-1-11111−i5i5−i5i5i5−i5i5−i5iiii−i−i−i−i5−55−55−55−5000000000000000000000000000000
χ574444-4-4-4-444-144-4-400000000-1-1-111111111-1-1-1-1-1-1-1-11111i5−i5i5−i5−i5i5−i5i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000
χ584444-4-4-4-444-144-4-400000000-1-1-111111111-1-1-1-1-1-1-1-11111−i5i5−i5i5i5−i5i5−i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000
χ594444-4-4-4-444-1-4-44400000000-1-1-111111111-1-1-1-11111-1-1-1-1i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000
χ604444-4-4-4-444-1-4-44400000000-1-1-111111111-1-1-1-11111-1-1-1-1−i5i5−i5i5i5−i5i5−i5−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000
χ6144-4-400004-4-1004-42i2−2i22i2−2i22i2−2i22i2−2i2-111i5i5−i5−i5i5i5−i5−i5-1-111i5−i5−i5i5-1-111ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39000000000000000000000000000000
χ6244-4-400004-4-1004-42i2−2i22i2−2i22i2−2i22i2−2i2-111−i5−i5i5i5−i5−i5i5i5-1-111−i5i5i5−i5-1-111ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29000000000000000000000000000000
χ6344-4-400004-4-1004-4−2i22i2−2i22i2−2i22i2−2i22i2-111i5i5−i5−i5i5i5−i5−i5-1-111i5−i5−i5i5-1-111−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39000000000000000000000000000000
χ6444-4-400004-4-1004-4−2i22i2−2i22i2−2i22i2−2i22i2-111−i5−i5i5i5−i5−i5i5i5-1-111−i5i5i5−i5-1-111−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29000000000000000000000000000000
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χ6744-4-400004-4-100-44−2i22i2−2i22i22i2−2i22i2−2i2-111i5i5−i5−i5i5i5−i5−i5-1-111−i5i5i5−i511-1-1−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39000000000000000000000000000000
χ6844-4-400004-4-100-44−2i22i2−2i22i22i2−2i22i2−2i2-111−i5−i5i5i5−i5−i5i5i5-1-111i5−i5−i5i511-1-1−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.