Finite Group Databasebeta

← Group #14314499

Character table — Group #14314499

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222244444444444444455888888888888888888881010101010101010101212121220202020202020242424242424242440404040404040404040404060606060120120120120
order12234466688581012122020242424244040404022101520303030404060606060120120120120120120120120244666688161616168121224242424808080808080808044441212121212121212161616168888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii
χ811111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i
χ911-11-11-1-11111-11-111111-1-1111111-11-1-1-11-1-1-1-1111111-1-1-1-1-11-111-1-11111-1-1-11-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-1i−ii−i
χ1011-11-11-1-11111-11-111111-1-1111111-11-1-1-11-1-1-1-1111111-1-1-1-1-11-111-1-11111-1-1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-1−ii−ii
χ1111-11-11-1-11111-11-111111-1-1111111-11-1-1-11-1-1-1-1111111-1-1-1-1-11-111-1-111-1-111-11-111-1-1-1-1-1-11111i−ii−iii−i−iii−i−i-1-111−ii−ii
χ1211-11-11-1-11111-11-111111-1-1111111-11-1-1-11-1-1-1-1111111-1-1-1-1-11-111-1-111-1-111-11-111-1-1-1-1-1-11111−ii−ii−i−iii−i−iii-1-111i−ii−i
χ1311-11-11-1-11111-11-111111-1-11111-1-1-11-1-1-11-1-1-1-1111111-1-1-1-11-11-1-111-1-111-1-11-11-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11
χ1411-11-11-1-11111-11-111111-1-11111-1-1-11-1-1-11-1-1-1-1111111-1-1-1-11-11-1-111-1-111-1-11-11-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-111-1
χ1511-11-11-1-11111-11-111111-1-11111-1-1-11-1-1-11-1-1-1-1111111-1-1-1-11-11-1-111-1-1-1-1111-11-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-111-1
χ1611-11-11-1-11111-11-111111-1-11111-1-1-11-1-1-11-1-1-1-1111111-1-1-1-11-11-1-111-1-1-1-1111-11-1-111-1-1-1-11111-111-1-1-11111-1-111-1-11-1-11
χ17222222222-2-22-222222-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-2-2-2-2-22222222-2-20000-222-2-2-2-20000000000000000000000000000
χ18222222222-2-22-222222-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200002-2-222220000000000000000000000000000
χ192222-2-222200202-2-2-2-2000000002222-222200-2-2-2-2000000002-2-2222200−i2i2−i2i20-2-20000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i20000
χ202222-2-222200202-2-2-2-2000000002222-222200-2-2-2-2000000002-2-2222200i2−i2i2−i20-2-20000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i20000
χ212222-2-222200202-2-2-2-200000000-2-222-222200-2-2-2-200000000-222-2-2-2-200−i2i2−i2i20220000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i20000
χ222222-2-222200202-2-2-2-200000000-2-222-222200-2-2-2-200000000-222-2-2-2-200i2−i2i2−i20220000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i20000
χ23222-122-1-1-122222-1-122-1-1-1-12222222-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12200002-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000
χ24222-122-1-1-122222-1-122-1-1-1-12222222-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12200002-1-1-1-1-1-100000000-2-2-2-21111111100000000
χ25222-122-1-1-122222-1-122-1-1-1-12222-2-22-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-2-20000-2111111000000002i2i−2i−2i−i−i−i−iiiii00000000
χ26222-122-1-1-122222-1-122-1-1-1-12222-2-22-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-2-20000-211111100000000−2i−2i2i2iiiii−i−i−i−i00000000
χ27222-122-1-1-1-2-22-22-1-1221111-2-2-2-2222-12-1-1-1-2-2-1-1-1-111111111222-1-1-1-1-2-20000-2-1-11111000000000000−i3i3−i3i3−i3i3−i3i300000000
χ28222-122-1-1-1-2-22-22-1-1221111-2-2-2-2222-12-1-1-1-2-2-1-1-1-111111111222-1-1-1-1-2-20000-2-1-11111000000000000i3−i3i3−i3i3−i3i3−i300000000
χ29222-122-1-1-1-2-22-22-1-1221111-2-2-2-2-2-22-12-1-1-1-2-2-1-1-1-111111111-2-2-21111220000211-1-1-1-10000000000003−33−3−33−3300000000
χ30222-122-1-1-1-2-22-22-1-1221111-2-2-2-2-2-22-12-1-1-1-2-2-1-1-1-111111111-2-2-21111220000211-1-1-1-1000000000000−33−333−33−300000000
χ3122-222-2-2-22002022-2-2-20000000022-222-2-220022-2-200000000-2-2222-2-200−i2i2i2−i20-220000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i20000
χ3222-222-2-2-22002022-2-2-20000000022-222-2-220022-2-200000000-2-2222-2-200i2−i2−i2i20-220000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i20000
χ3322-222-2-2-22002022-2-2-200000000-2-2-222-2-220022-2-20000000022-2-2-22200−i2i2i2−i202-20000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i20000
χ3422-222-2-2-22002022-2-2-200000000-2-2-222-2-220022-2-20000000022-2-2-22200i2−i2−i2i202-20000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i20000
χ3522-22-22-2-22-2-2222-2222-2-222-2-2-2-222-22-2-2-2222-2-222-2-2-2-22222-22-222-2-2-2-2000022-2-2-2220000000000000000000000000000
χ3622-22-22-2-22-2-2222-2222-2-222-2-2-2-2-2-2-22-2-2-2222-2-222-2-2-2-222222-22-2-222220000-2-2222-2-20000000000000000000000000000
χ3722-2-1-2211-1222-221-122-1-111222222-2-1-211-1-2-211-1-1-1-1-1-11111-22-2-1-111220000-2-11-1-111000000002i−2i2i−2i−i−iii−i−iii00000000
χ3822-2-1-2211-1222-221-122-1-111222222-2-1-211-1-2-211-1-1-1-1-1-11111-22-2-1-111220000-2-11-1-11100000000−2i2i−2i2iii−i−iii−i−i00000000
χ3922-2-1-2211-1222-221-122-1-1112222-2-2-2-1-211-1-2-211-1-1-1-1-1-111112-2211-1-1-2-2000021-111-1-1000000002-2-22-1-11111-1-100000000
χ4022-2-1-2211-1222-221-122-1-1112222-2-2-2-1-211-1-2-211-1-1-1-1-1-111112-2211-1-1-2-2000021-111-1-100000000-222-211-1-1-1-11100000000
χ4122-2-1-2211-1-2-22221-12211-1-1-2-2-2-222-2-1-211-12211-1-11111-1-1-1-1-22-2-1-111-2-200002-1111-1-10000000000003−3−333−3−3300000000
χ4222-2-1-2211-1-2-22221-12211-1-1-2-2-2-222-2-1-211-12211-1-11111-1-1-1-1-22-2-1-111-2-200002-1111-1-1000000000000−333−3−333−300000000
χ4322-2-1-2211-1-2-22221-12211-1-1-2-2-2-2-2-2-2-1-211-12211-1-11111-1-1-1-12-2211-1-1220000-21-1-1-111000000000000−i3i3i3−i3i3−i3−i3i300000000
χ4422-2-1-2211-1-2-22221-12211-1-1-2-2-2-2-2-2-2-1-211-12211-1-11111-1-1-1-12-2211-1-1220000-21-1-1-111000000000000i3−i3−i3i3−i3i3i3−i300000000
χ4544444444444-14-144-1-14444-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000044440000000-1-1-1-1-1-1-1-100000000000000000000
χ4644444444444-14-144-1-14444-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-4-4-4-400000001111111100000000000000000000
χ47444444444-4-4-1-4-144-1-1-4-4-4-4111100-1-1-1-1-1-111-1-1-1-11111111100000000000000000000−i5i5−i5i5−i5i5−i5i500000000000000000000
χ48444444444-4-4-1-4-144-1-1-4-4-4-4111100-1-1-1-1-1-111-1-1-1-11111111100000000000000000000i5−i5i5−i5i5−i5i5−i500000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.