Finite Group Databasebeta

← Group #11793119

Character table — Group #11793119

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444448888888888812121212181818182424242424242424242424242424484848487272727272
order12442433666612121212121246121212121212121212444422442444881212121212121212612242444488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-111111111-1-1-1-11-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-111
χ6111111111111111111-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-111-1-1
χ7111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-111-1-1
χ8111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-111
χ9222222222222222222222222222220000-2-2-2-2000000000000000000-20000
χ10222222222222222222-222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000020000
χ112222-2-22222-2-222-2-2220-2-20000000000002-2-2200000000000000000002i−2i00
χ122222-2-22222-2-222-2-2220-2-20000000000002-2-220000000000000000000−2i2i00
χ132222-2-22222-2-222-2-2220-2-2000000000000-222-20000000000000000000002i−2i
χ142222-2-22222-2-222-2-2220-2-2000000000000-222-2000000000000000000000−2i2i
χ1522-2-22-2222222-2-2-2-2-2-202-200000000000022-2-2002-200000022-2-2000000000
χ1622-2-22-2222222-2-2-2-2-2-202-200000000000022-2-200-22000000-2-222000000000
χ1722-2-22-2222222-2-2-2-2-2-202-20000000022-2-2-2-22200000022-2-20000000000000
χ1822-2-22-2222222-2-2-2-2-2-202-200000000-2-222-2-222000000-2-2220000000000000
χ1922-2-2-222222-2-2-2-222-2-20-220000000000002-22-22-20000000000002-20000000
χ2022-2-2-222222-2-2-2-222-2-20-220000000000002-22-2-22000000000000-220000000
χ2122-2-2-222222-2-2-2-222-2-20-22000000000000-22-2200002i−2i00000000002i−2i00000
χ2222-2-2-222222-2-2-2-222-2-20-22000000000000-22-220000−2i2i0000000000−2i2i00000
χ234444441-21-2111111-2-24-2-21111-2-2-2-222220000002200-1-1-1-1-1-1-1-1000000000
χ244444441-21-2111111-2-24-2-21111-2-2-2-2-2-2-2-2000000-2-20011111111000000000
χ254444441-21-2111111-2-2-4-2-2-1-1-1-122222222000000-2-200-1-1-1-11111000000000
χ264444441-21-2111111-2-2-4-2-2-1-1-1-12222-2-2-2-200000022001111-1-1-1-1000000000
χ27444444-21-21-2-2-2-2-2-211411-2-2-2-211110000000022002200000000-1-1-1-100000
χ28444444-21-21-2-2-2-2-2-211411-2-2-2-2111100000000-2-200-2-200000000111100000
χ29444444-21-21-2-2-2-2-2-211-4112222-1-1-1-1000000002200-2-200000000-1-11100000
χ30444444-21-21-2-2-2-2-2-211-4112222-1-1-1-100000000-2-200220000000011-1-100000
χ3144-4-44-41-21-211-1-1-1-1220-2233-3-3000022-2-20000002-200-1-111-1-111000000000
χ3244-4-44-41-21-211-1-1-1-1220-2233-3-30000-2-222000000-220011-1-111-1-1000000000
χ3344-4-44-41-21-211-1-1-1-1220-22-3-333000022-2-2000000-2200-1-11111-1-1000000000
χ3444-4-44-41-21-211-1-1-1-1220-22-3-3330000-2-2220000002-20011-1-1-1-111000000000
χ3544-4-4-44-21-212222-2-2-1-10-1100003i3i−3i−3i000000002-2002i−2i00000000-11−ii00000
χ3644-4-4-44-21-212222-2-2-1-10-1100003i3i−3i−3i00000000-2200−2i2i000000001-1i−i00000
χ3744-4-4-44-21-212222-2-2-1-10-110000−3i−3i3i3i000000002-200−2i2i00000000-11i−i00000
χ3844-4-4-44-21-212222-2-2-1-10-110000−3i−3i3i3i00000000-22002i−2i000000001-1−ii00000
χ394-44i−4i001-2-123-3i−i3i−3i2i−2i000−i3i33−3−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ112-22i−2i00000000001-1i−i3−3−i3i3000000000
χ404-44i−4i001-2-123-3i−i3i−3i2i−2i000−i3i33−3−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11-22−2i2i0000000000-11−ii−33i3−i3000000000
χ414-44i−4i001-2-123-3i−i3i−3i2i−2i000i3−i3−33ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ112-22i−2i00000000001-1i−i−33i3−i3000000000
χ424-44i−4i001-2-123-3i−i3i−3i2i−2i000i3−i3−33ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11-22−2i2i0000000000-11−ii3−3−i3i3000000000
χ434-44i−4i0044-4-4004i−4i00−4i4i000000000002-22i−2i0000000000-22−2i2i0000000000000
χ444-44i−4i0044-4-4004i−4i00−4i4i00000000000-22−2i2i00000000002-22i−2i0000000000000
χ454-4−4i4i001-2-123-3−ii−3i3i−2i2i000−i3i3−33−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ112-2−2i2i00000000001-1−ii−33−i3i3000000000
χ464-4−4i4i001-2-123-3−ii−3i3i−2i2i000−i3i3−33−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11-222i−2i0000000000-11i−i3−3i3−i3000000000
χ474-4−4i4i001-2-123-3−ii−3i3i−2i2i000i3−i33−3ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ112-2−2i2i00000000001-1−ii3−3i3−i3000000000
χ484-4−4i4i001-2-123-3−ii−3i3i−2i2i000i3−i33−3ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11-222i−2i0000000000-11i−i−33−i3i3000000000
χ494-4−4i4i0044-4-400−4i4i004i−4i000000000002-2−2i2i0000000000-222i−2i0000000000000
χ504-4−4i4i0044-4-400−4i4i004i−4i00000000000-222i−2i00000000002-2−2i2i0000000000000
χ518888-8-82-42-4-2-222-2-2-4-4044000000000000000000000000000000000000000
χ528888-8-8-42-4244-4-444220-2-2000000000000000000000000000000000000000
χ5388-8-88-8-42-42-4-44444-2-202-2000000000000000000000000000000000000000
χ5488-8-8-882-42-4-2-2-2-2224404-4000000000000000000000000000000000000000
χ558-88i−8i002-4-24-662i−2i−6i6i4i−4i000000000000000000000000000000000000000000
χ568-88i−8i00-424-200−4i4i00−2i2i000−2i32i323−23ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000000000000000000000000000000
χ578-88i−8i00-424-200−4i4i00−2i2i0002i3−2i3−2323−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000000000000000000000000000000
χ588-8−8i8i002-4-24-66−2i2i6i−6i−4i4i000000000000000000000000000000000000000000
χ598-8−8i8i00-424-2004i−4i002i−2i000−2i32i3−2323ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000000000000000000000000000000
χ608-8−8i8i00-424-2004i−4i002i−2i0002i3−2i323−23−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.