Finite Group Databasebeta

← Group #11721060

Character table — Group #11721060

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222222222266666666121212121212121212121212181818181818181818181818363636363636363636363636
order124423466612121212336612121212366666121212121212888824242424242424242244666612121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511-1-1-111-1-11-1-1111111-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ611-1-1-111-1-11-1-1111111-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ711-1-1-111-1-11-1-1111111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ811-1-1-111-1-11-1-1111111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ9222222222222222-12-122-1-1-12-1-1-1-12-1-1-1-1-1000000000000020200-1-100-1-1
χ10222222222222222-12-122-1-1-12-1-1-1-12-1-1-1-1-10000000000000-20-200110011
χ1122222222222222-12-12-1-122-1-12-1-1-1-12-1-1-1-10000000000002020-1-100-1-100
χ1222222222222222-12-12-1-122-1-12-1-1-1-12-1-1-1-1000000000000-20-2011001100
χ132222-22-2-2-2222-2-2222222222-2-2-2-22-2-2-2-222000000000000000000000000
χ142222-22-2-2-2222-2-22-12-122-1-1-1-2111-1-2111-1-1000000000000000000−i3i300−i3i3
χ152222-22-2-2-2222-2-22-12-122-1-1-1-2111-1-2111-1-1000000000000000000i3−i300i3−i3
χ162222-22-2-2-2222-2-2-12-12-1-122-11-211-11-211-1-10000000000000000−i3i300−i3i300
χ172222-22-2-2-2222-2-2-12-12-1-122-11-211-11-211-1-10000000000000000i3−i300i3−i300
χ1822-2-222-2222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000
χ1922-2-222-2222-2-2-2-22-12-1-2-211-12-1-1-1-1-211111000000000000000000−i3i300i3−i3
χ2022-2-222-2222-2-2-2-22-12-1-2-211-12-1-1-1-1-211111000000000000000000i3−i300−i3i3
χ2122-2-222-2222-2-2-2-2-12-1211-2-2-1-12-1-1-11-211110000000000000000−i3i300i3−i300
χ2222-2-222-2222-2-2-2-2-12-1211-2-2-1-12-1-1-11-211110000000000000000i3−i300−i3i300
χ2322-2-2-222-2-22-2-2222-12-1-2-211-1-2111-12-1-1-111000000000000020-200-1-10011
χ2422-2-2-222-2-22-2-2222-12-1-2-211-1-2111-12-1-1-1110000000000000-202001100-1-1
χ2522-2-2-222-2-22-2-222-12-1211-2-2-11-211-1-12-1-11100000000000020-20-1-1001100
χ2622-2-2-222-2-22-2-222-12-1211-2-2-11-211-1-12-1-111000000000000-20201100-1-100
χ272-22i−2i02000-22i−2i0022-2-22i−2i2i−2i20000-200002i−2i2−2−i2i222−2−2−i2−i2i2i2000000000000
χ282-22i−2i02000-22i−2i0022-2-22i−2i2i−2i20000-200002i−2i−22i2−i2−2−222i2i2−i2−i2000000000000
χ292-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i20000-20000−2i2i2−2i2−i222−2−2i2i2−i2−i2000000000000
χ302-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i20000-20000−2i2i−22−i2i2−2−222−i2−i2i2i2000000000000
χ3144444444444444-2-2-2-2-2-2-2-21-2-2111-2-21111000000000000000000000000
χ324444-44-4-4-4444-4-4-2-2-2-2-2-2-2-2122-1-1122-1-111000000000000000000000000
χ3344-4-444-4444-4-4-4-4-2-2-2-222221-2-211122-1-1-1-1000000000000000000000000
χ3444-4-4-444-4-44-4-444-2-2-2-22222122-1-11-2-211-1-1000000000000000000000000
χ354-44i−4i04000-44i−4i004-2-424i−4i−2i2i-2000020000−2i2i000000000000000000000000
χ364-44i−4i04000-44i−4i00-242-4−2i2i4i−4i-2000020000−2i2i000000000000000000000000
χ374-44i−4i04000-44i−4i00-2-222−2i2i−2i2i1003-3-1003i−3ii−i000000000000000000000000
χ384-44i−4i04000-44i−4i00-2-222−2i2i−2i2i100-33-100−3i3ii−i000000000000000000000000
χ394-4−4i4i04000-4−4i4i004-2-42−4i4i2i−2i-20000200002i−2i000000000000000000000000
χ404-4−4i4i04000-4−4i4i00-242-42i−2i−4i4i-20000200002i−2i000000000000000000000000
χ414-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i1003-3-100−3i3i−ii000000000000000000000000
χ424-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i100-33-1003i−3i−ii000000000000000000000000
χ4366666-36-3-3-3-3-3-3-3000000000000000000002222-1-1-1-1-1-1-1-1000000000000
χ4466666-36-3-3-3-3-3-3-300000000000000000000-2-2-2-211111111000000000000
χ456666-6-3-633-3-3-3330000000000000000000000003−33−33−33−3000000000000
χ466666-6-3-633-3-3-333000000000000000000000000−33−33−33−33000000000000
χ4766-6-66-3-6-3-3-333330000000000000000000000003−33−3−33−33000000000000
χ4866-6-66-3-6-3-3-33333000000000000000000000000−33−333−33−3000000000000
χ4966-6-6-6-3633-333-3-30000000000000000000022-2-2-1-1-1-11111000000000000
χ5066-6-6-6-3633-333-3-300000000000000000000-2-2221111-1-1-1-1000000000000
χ516-66i−6i0-30−3i33i33−3i3i33−33000000000000000000002−2−i2i2ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000000000
χ526-66i−6i0-30−3i33i33−3i3i33−3300000000000000000000−22i2−i2−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000000000
χ536-66i−6i0-303i3−3i33−3i3i−3333000000000000000000002−2−i2i2ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000000000
χ546-66i−6i0-303i3−3i33−3i3i−333300000000000000000000−22i2−i2−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000000000
χ556-6−6i6i0-30−3i33i333i−3i−3333000000000000000000002−2i2−i2ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000000000
χ566-6−6i6i0-30−3i33i333i−3i−333300000000000000000000−22−i2i2−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000000000
χ576-6−6i6i0-303i3−3i333i−3i33−33000000000000000000002−2i2−i2ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000000000
χ586-6−6i6i0-303i3−3i333i−3i33−3300000000000000000000−22−i2i2−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000000000

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