Finite Group Databasebeta

← Group #11795370

Character table — Group #11795370

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444448888888888812121212181818182424242424242424242424242424484848487272727272
order1244243366661212121212126812242424242424242422442244668888881212242424242424242488888
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111-11-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1-111-1-1
χ61111111111111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-111
χ71111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-111
χ81111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-111-1-1
χ9222222222222222222222222222220000-2-2-2-2000000000000000000-20000
χ102222222222222222222-22-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000020000
χ112222-2-222-2-222-2-22222-20-20000000000002-22-20000000000000000000002-2
χ122222-2-222-2-222-2-22222-20-20000000000002-22-2000000000000000000000-22
χ132222-2-222-2-222-2-22222-20-2000000000000-22-2200000000000000000002-200
χ142222-2-222-2-222-2-22222-20-2000000000000-22-220000000000000000000-2200
χ1522-2-22-2222222-2-2-2-2-2-220-2000000000000-2-222002i−2i0000002i2i−2i−2i000000000
χ1622-2-22-2222222-2-2-2-2-2-220-2000000000000-2-22200−2i2i000000−2i−2i2i2i000000000
χ1722-2-22-2222222-2-2-2-2-2-220-20000000022-2-222-2-222000000-2-20000000000000
χ1822-2-22-2222222-2-2-2-2-2-220-200000000-2-22222-2-2-2-2000000220000000000000
χ1922-2-2-2222-2-22222-2-2-2-2-2020000000000002-2-220000002i−2i000000002i−2i00000
χ2022-2-2-2222-2-22222-2-2-2-2-2020000000000002-2-22000000−2i2i00000000−2i2i00000
χ2122-2-2-2222-2-22222-2-2-2-2-202000000000000-222-200002i−2i000000002i−2i0000000
χ2222-2-2-2222-2-22222-2-2-2-2-202000000000000-222-20000−2i2i00000000−2i2i0000000
χ234444441-2-2-21-2-2-2-2-211141-2-2-2-211110000000000002222000000-1-1-1-100000
χ244444441-2-2-21-2-2-2-2-211141-2-2-2-21111000000000000-2-2-2-2000000111100000
χ254444441-2-2-21-2-2-2-2-2111-412222-1-1-1-100000000000022-2-2000000-1-11100000
χ264444441-2-2-21-2-2-2-2-2111-412222-1-1-1-1000000000000-2-22200000011-1-100000
χ27444444-2111-211111-2-2-24-21111-2-2-2-222220000-1-1220000-1-1-1-1-1-1000000000
χ28444444-2111-211111-2-2-24-21111-2-2-2-2-2-2-2-2000011-2-20000111111000000000
χ29444444-2111-211111-2-2-2-4-2-1-1-1-1222222220000-1-1-2-20000-1-11111000000000
χ30444444-2111-211111-2-2-2-4-2-1-1-1-12222-2-2-2-200001122000011-1-1-1-1000000000
χ3144-4-44-4-2111-21-1-1-1-122-2023i3i−3i−3i000022-2-20000-1-12i−2i000011−i−iii000000000
χ3244-4-44-4-2111-21-1-1-1-122-2023i3i−3i−3i0000-2-222000011−2i2i0000-1-1ii−i−i000000000
χ3344-4-44-4-2111-21-1-1-1-122-202−3i−3i3i3i000022-2-20000-1-1−2i2i000011ii−i−i000000000
χ3444-4-44-4-2111-21-1-1-1-122-202−3i−3i3i3i0000-2-2220000112i−2i0000-1-1−i−iii000000000
χ3544-4-4-441-2221-2-2-222-1-1-101000033-3-30000000000002i−2i2i−2i000000−ii−ii00000
χ3644-4-4-441-2221-2-2-222-1-1-101000033-3-3000000000000−2i2i−2i2i000000i−ii−i00000
χ3744-4-4-441-2221-2-2-222-1-1-1010000-3-3330000000000002i−2i−2i2i000000−iii−i00000
χ3844-4-4-441-2221-2-2-222-1-1-1010000-3-333000000000000−2i2i2i−2i000000i−i−ii00000
χ394-44i−4i004400-4-4004i−4i4i−4i000000000002-22i−2i00002-20000002i−2i0000000000000
χ404-44i−4i004400-4-4004i−4i4i−4i00000000000-22−2i2i0000-22000000−2i2i0000000000000
χ414-44i−4i00-213-32-13i−3ii−i−2i2i000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ236−6i6−i62-22i−2i0000-11000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000
χ424-44i−4i00-213-32-13i−3ii−i−2i2i000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ236−6i6−i6-22−2i2i00001-1000000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000
χ434-44i−4i00-213-32-13i−3ii−i−2i2i000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−66−i6i62-22i−2i0000-11000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000
χ444-44i−4i00-213-32-13i−3ii−i−2i2i000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−66−i6i6-22−2i2i00001-1000000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000
χ454-4−4i4i004400-4-400−4i4i−4i4i000000000002-2−2i2i00002-2000000−2i2i0000000000000
χ464-4−4i4i004400-4-400−4i4i−4i4i00000000000-222i−2i0000-220000002i−2i0000000000000
χ474-4−4i4i00-213-32-1−3i3i−ii2i−2i000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ136−6−i6i62-2−2i2i0000-11000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000
χ484-4−4i4i00-213-32-1−3i3i−ii2i−2i000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ136−6−i6i6-222i−2i00001-1000000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000
χ494-4−4i4i00-213-32-1−3i3i−ii2i−2i000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−66i6−i62-2−2i2i0000-11000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000
χ504-4−4i4i00-213-32-1−3i3i−ii2i−2i000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−66i6−i6-222i−2i00001-1000000−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000
χ518888-8-82-4442-444-4-422-20-2000000000000000000000000000000000000000
χ528888-8-8-42-2-2-42-2-222-4-4404000000000000000000000000000000000000000
χ5388-8-88-82-4-4-42-44444-2-220-2000000000000000000000000000000000000000
χ5488-8-8-88-42-2-2-4222-2-24440-4000000000000000000000000000000000000000
χ558-88i−8i002-400-2400−4i4i2i−2i0002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23−66−i6i60000000000000000000000000000000
χ568-88i−8i002-400-2400−4i4i2i−2i000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ236−6i6−i60000000000000000000000000000000
χ578-88i−8i00-42-664-2−6i6i2i−2i−4i4i000000000000000000000000000000000000000000
χ588-8−8i8i002-400-24004i−4i−2i2i000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13−66i6−i60000000000000000000000000000000
χ598-8−8i8i002-400-24004i−4i−2i2i0002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ136−6−i6i60000000000000000000000000000000
χ608-8−8i8i00-42-664-26i−6i−2i2i4i−4i000000000000000000000000000000000000000000

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